TSTP Solution File: SWV424-1.350 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV424-1.350 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n014.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 15:17:02 EDT 2022
% Result : Unsatisfiable 7.04s 4.84s
% Output : Proof 17.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV424-1.350 : TPTP v8.1.0. Released v3.5.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Sep 4 03:32:45 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 7.04/4.84 % SZS status Unsatisfiable
% 7.04/4.84 % SZS output start Proof
% 7.04/4.84 tff(node2_type, type, (
% 7.04/4.84 node2: ( $i * $i ) > $o)).
% 7.04/4.84 tff(s10_type, type, (
% 7.04/4.84 s10: $i)).
% 7.04/4.84 tff(s349_type, type, (
% 7.04/4.84 s349: $i)).
% 7.04/4.84 tff(trans_type, type, (
% 7.04/4.84 trans: ( $i * $i ) > $o)).
% 7.04/4.84 tff(s15_type, type, (
% 7.04/4.84 s15: $i)).
% 7.04/4.84 tff(m_main_v_request_type, type, (
% 7.04/4.84 m_main_v_request: $i > $o)).
% 7.04/4.84 tff(node4_type, type, (
% 7.04/4.84 node4: $i > $o)).
% 7.04/4.84 tff(s30_type, type, (
% 7.04/4.84 s30: $i)).
% 7.04/4.84 tff(always3_type, type, (
% 7.04/4.84 always3: $i > $o)).
% 7.04/4.84 tff(s31_type, type, (
% 7.04/4.84 s31: $i)).
% 7.04/4.84 tff(m_main_v_state_type, type, (
% 7.04/4.84 m_main_v_state: ( $i * $i ) > $o)).
% 7.04/4.84 tff(c_busy_type, type, (
% 7.04/4.84 c_busy: $i)).
% 7.04/4.84 tff(c_ready_type, type, (
% 7.04/4.84 c_ready: $i)).
% 7.04/4.84 tff(succ_type, type, (
% 7.04/4.84 succ: ( $i * $i ) > $o)).
% 7.04/4.84 tff(s86_type, type, (
% 7.04/4.84 s86: $i)).
% 7.04/4.84 tff(s87_type, type, (
% 7.04/4.84 s87: $i)).
% 7.04/4.84 tff(s294_type, type, (
% 7.04/4.84 s294: $i)).
% 7.04/4.84 tff(until5_type, type, (
% 7.04/4.84 until5: $i > $o)).
% 7.04/4.84 tff(xuntil6_type, type, (
% 7.04/4.84 xuntil6: $i > $o)).
% 7.04/4.84 tff(s348_type, type, (
% 7.04/4.84 s348: $i)).
% 7.04/4.84 tff(s347_type, type, (
% 7.04/4.84 s347: $i)).
% 7.04/4.84 tff(s345_type, type, (
% 7.04/4.84 s345: $i)).
% 7.04/4.84 tff(s344_type, type, (
% 7.04/4.84 s344: $i)).
% 7.04/4.84 tff(s268_type, type, (
% 7.04/4.84 s268: $i)).
% 7.04/4.84 tff(s267_type, type, (
% 7.04/4.84 s267: $i)).
% 7.04/4.84 tff(s266_type, type, (
% 7.04/4.84 s266: $i)).
% 7.04/4.84 tff(s265_type, type, (
% 7.04/4.84 s265: $i)).
% 7.04/4.84 tff(s264_type, type, (
% 7.04/4.84 s264: $i)).
% 7.04/4.84 tff(s263_type, type, (
% 7.04/4.84 s263: $i)).
% 7.04/4.84 tff(s262_type, type, (
% 7.04/4.84 s262: $i)).
% 7.04/4.84 tff(s261_type, type, (
% 7.04/4.84 s261: $i)).
% 7.04/4.84 tff(s260_type, type, (
% 7.04/4.84 s260: $i)).
% 7.04/4.84 tff(s259_type, type, (
% 7.04/4.84 s259: $i)).
% 7.04/4.84 tff(s258_type, type, (
% 7.04/4.84 s258: $i)).
% 7.04/4.84 tff(s257_type, type, (
% 7.04/4.84 s257: $i)).
% 7.04/4.84 tff(s256_type, type, (
% 7.04/4.84 s256: $i)).
% 7.04/4.84 tff(s255_type, type, (
% 7.04/4.84 s255: $i)).
% 7.04/4.84 tff(s254_type, type, (
% 7.04/4.84 s254: $i)).
% 7.04/4.84 tff(s253_type, type, (
% 7.04/4.84 s253: $i)).
% 7.04/4.84 tff(s252_type, type, (
% 7.04/4.84 s252: $i)).
% 7.04/4.84 tff(s251_type, type, (
% 7.04/4.84 s251: $i)).
% 7.04/4.84 tff(s250_type, type, (
% 7.04/4.84 s250: $i)).
% 7.04/4.84 tff(s249_type, type, (
% 7.04/4.84 s249: $i)).
% 7.04/4.84 tff(s248_type, type, (
% 7.04/4.84 s248: $i)).
% 7.04/4.84 tff(s247_type, type, (
% 7.04/4.84 s247: $i)).
% 7.04/4.84 tff(s246_type, type, (
% 7.04/4.84 s246: $i)).
% 7.04/4.84 tff(s245_type, type, (
% 7.04/4.84 s245: $i)).
% 7.04/4.84 tff(s244_type, type, (
% 7.04/4.84 s244: $i)).
% 7.04/4.84 tff(s243_type, type, (
% 7.04/4.84 s243: $i)).
% 7.04/4.84 tff(s242_type, type, (
% 7.04/4.84 s242: $i)).
% 7.04/4.84 tff(s241_type, type, (
% 7.04/4.84 s241: $i)).
% 7.04/4.84 tff(s240_type, type, (
% 7.04/4.84 s240: $i)).
% 7.04/4.84 tff(s239_type, type, (
% 7.04/4.84 s239: $i)).
% 7.04/4.84 tff(s238_type, type, (
% 7.04/4.84 s238: $i)).
% 7.04/4.84 tff(s237_type, type, (
% 7.04/4.84 s237: $i)).
% 7.04/4.84 tff(s236_type, type, (
% 7.04/4.84 s236: $i)).
% 7.04/4.84 tff(s235_type, type, (
% 7.04/4.84 s235: $i)).
% 7.04/4.84 tff(s234_type, type, (
% 7.04/4.84 s234: $i)).
% 7.04/4.84 tff(s233_type, type, (
% 7.04/4.84 s233: $i)).
% 7.04/4.84 tff(s232_type, type, (
% 7.04/4.84 s232: $i)).
% 7.04/4.84 tff(s227_type, type, (
% 7.04/4.84 s227: $i)).
% 7.04/4.84 tff(s226_type, type, (
% 7.04/4.84 s226: $i)).
% 7.04/4.84 tff(s225_type, type, (
% 7.04/4.84 s225: $i)).
% 7.04/4.84 tff(s224_type, type, (
% 7.04/4.84 s224: $i)).
% 7.04/4.84 tff(s223_type, type, (
% 7.04/4.84 s223: $i)).
% 7.04/4.84 tff(s222_type, type, (
% 7.04/4.84 s222: $i)).
% 7.04/4.84 tff(s221_type, type, (
% 7.04/4.84 s221: $i)).
% 7.04/4.84 tff(s220_type, type, (
% 7.04/4.84 s220: $i)).
% 7.04/4.84 tff(s219_type, type, (
% 7.04/4.84 s219: $i)).
% 7.04/4.84 tff(s218_type, type, (
% 7.04/4.84 s218: $i)).
% 7.04/4.84 tff(s217_type, type, (
% 7.04/4.84 s217: $i)).
% 7.04/4.84 tff(s216_type, type, (
% 7.04/4.84 s216: $i)).
% 7.04/4.84 tff(s215_type, type, (
% 7.04/4.84 s215: $i)).
% 7.04/4.84 tff(s214_type, type, (
% 7.04/4.84 s214: $i)).
% 7.04/4.84 tff(s213_type, type, (
% 7.04/4.84 s213: $i)).
% 7.04/4.84 tff(s212_type, type, (
% 7.04/4.84 s212: $i)).
% 7.04/4.84 tff(s211_type, type, (
% 7.04/4.84 s211: $i)).
% 7.04/4.84 tff(s210_type, type, (
% 7.04/4.84 s210: $i)).
% 7.04/4.84 tff(s209_type, type, (
% 7.04/4.84 s209: $i)).
% 7.04/4.84 tff(s208_type, type, (
% 7.04/4.84 s208: $i)).
% 7.04/4.84 tff(s196_type, type, (
% 7.04/4.84 s196: $i)).
% 7.04/4.84 tff(s195_type, type, (
% 7.04/4.84 s195: $i)).
% 7.04/4.84 tff(s194_type, type, (
% 7.04/4.84 s194: $i)).
% 7.04/4.84 tff(s193_type, type, (
% 7.04/4.84 s193: $i)).
% 7.04/4.84 tff(s192_type, type, (
% 7.04/4.84 s192: $i)).
% 7.04/4.84 tff(s191_type, type, (
% 7.04/4.84 s191: $i)).
% 7.04/4.84 tff(s190_type, type, (
% 7.04/4.84 s190: $i)).
% 7.04/4.84 tff(s189_type, type, (
% 7.04/4.84 s189: $i)).
% 7.04/4.84 tff(s188_type, type, (
% 7.04/4.84 s188: $i)).
% 7.04/4.84 tff(s187_type, type, (
% 7.04/4.84 s187: $i)).
% 7.04/4.84 tff(s186_type, type, (
% 7.04/4.84 s186: $i)).
% 7.04/4.84 tff(s185_type, type, (
% 7.04/4.84 s185: $i)).
% 7.04/4.84 tff(s184_type, type, (
% 7.04/4.84 s184: $i)).
% 7.04/4.84 tff(s183_type, type, (
% 7.04/4.84 s183: $i)).
% 7.04/4.84 tff(s182_type, type, (
% 7.04/4.84 s182: $i)).
% 7.04/4.84 tff(s181_type, type, (
% 7.04/4.84 s181: $i)).
% 7.04/4.84 tff(s180_type, type, (
% 7.04/4.84 s180: $i)).
% 7.04/4.84 tff(s179_type, type, (
% 7.04/4.84 s179: $i)).
% 7.04/4.84 tff(s178_type, type, (
% 7.04/4.84 s178: $i)).
% 7.04/4.84 tff(s177_type, type, (
% 7.04/4.84 s177: $i)).
% 7.04/4.84 tff(s176_type, type, (
% 7.04/4.84 s176: $i)).
% 7.04/4.84 tff(s175_type, type, (
% 7.04/4.84 s175: $i)).
% 7.04/4.84 tff(s174_type, type, (
% 7.04/4.84 s174: $i)).
% 7.04/4.84 tff(s173_type, type, (
% 7.04/4.84 s173: $i)).
% 7.04/4.84 tff(s172_type, type, (
% 7.04/4.84 s172: $i)).
% 7.04/4.84 tff(s171_type, type, (
% 7.04/4.84 s171: $i)).
% 7.04/4.84 tff(s170_type, type, (
% 7.04/4.84 s170: $i)).
% 7.04/4.84 tff(s169_type, type, (
% 7.04/4.84 s169: $i)).
% 7.04/4.84 tff(s168_type, type, (
% 7.04/4.84 s168: $i)).
% 7.04/4.84 tff(s167_type, type, (
% 7.04/4.84 s167: $i)).
% 7.04/4.84 tff(s166_type, type, (
% 7.04/4.84 s166: $i)).
% 7.04/4.84 tff(s165_type, type, (
% 7.04/4.84 s165: $i)).
% 7.04/4.84 tff(s164_type, type, (
% 7.04/4.84 s164: $i)).
% 7.04/4.84 tff(s163_type, type, (
% 7.04/4.84 s163: $i)).
% 7.04/4.84 tff(s162_type, type, (
% 7.04/4.84 s162: $i)).
% 7.04/4.84 tff(s161_type, type, (
% 7.04/4.84 s161: $i)).
% 7.04/4.84 tff(s160_type, type, (
% 7.04/4.84 s160: $i)).
% 7.04/4.84 tff(s159_type, type, (
% 7.04/4.84 s159: $i)).
% 7.04/4.84 tff(s158_type, type, (
% 7.04/4.84 s158: $i)).
% 7.04/4.84 tff(s157_type, type, (
% 7.04/4.84 s157: $i)).
% 7.04/4.84 tff(s156_type, type, (
% 7.04/4.84 s156: $i)).
% 7.04/4.84 tff(s155_type, type, (
% 7.04/4.84 s155: $i)).
% 7.04/4.84 tff(s154_type, type, (
% 7.04/4.84 s154: $i)).
% 7.04/4.84 tff(s153_type, type, (
% 7.04/4.84 s153: $i)).
% 7.04/4.84 tff(s152_type, type, (
% 7.04/4.84 s152: $i)).
% 7.04/4.84 tff(s151_type, type, (
% 7.04/4.84 s151: $i)).
% 7.04/4.84 tff(s150_type, type, (
% 7.04/4.84 s150: $i)).
% 7.04/4.84 tff(s149_type, type, (
% 7.04/4.84 s149: $i)).
% 7.04/4.84 tff(s148_type, type, (
% 7.04/4.84 s148: $i)).
% 7.04/4.84 tff(s147_type, type, (
% 7.04/4.84 s147: $i)).
% 7.04/4.84 tff(s146_type, type, (
% 7.04/4.84 s146: $i)).
% 7.04/4.84 tff(s145_type, type, (
% 7.04/4.84 s145: $i)).
% 7.04/4.84 tff(s144_type, type, (
% 7.04/4.84 s144: $i)).
% 7.04/4.84 tff(s143_type, type, (
% 7.04/4.84 s143: $i)).
% 7.04/4.84 tff(s142_type, type, (
% 7.04/4.84 s142: $i)).
% 7.04/4.84 tff(s141_type, type, (
% 7.04/4.84 s141: $i)).
% 7.04/4.84 tff(s140_type, type, (
% 7.04/4.84 s140: $i)).
% 7.04/4.84 tff(s139_type, type, (
% 7.04/4.84 s139: $i)).
% 7.04/4.84 tff(s138_type, type, (
% 7.04/4.84 s138: $i)).
% 7.04/4.84 tff(s137_type, type, (
% 7.04/4.84 s137: $i)).
% 7.04/4.84 tff(s136_type, type, (
% 7.04/4.84 s136: $i)).
% 7.04/4.84 tff(s135_type, type, (
% 7.04/4.84 s135: $i)).
% 7.04/4.84 tff(s134_type, type, (
% 7.04/4.84 s134: $i)).
% 7.04/4.84 tff(s133_type, type, (
% 7.04/4.84 s133: $i)).
% 7.04/4.84 tff(s132_type, type, (
% 7.04/4.84 s132: $i)).
% 7.04/4.84 tff(s131_type, type, (
% 7.04/4.84 s131: $i)).
% 7.04/4.84 tff(s130_type, type, (
% 7.04/4.84 s130: $i)).
% 7.04/4.84 tff(s129_type, type, (
% 7.04/4.84 s129: $i)).
% 7.04/4.84 tff(s128_type, type, (
% 7.04/4.84 s128: $i)).
% 7.04/4.84 tff(s127_type, type, (
% 7.04/4.84 s127: $i)).
% 7.04/4.84 tff(s126_type, type, (
% 7.04/4.84 s126: $i)).
% 7.04/4.84 tff(s125_type, type, (
% 7.04/4.84 s125: $i)).
% 7.04/4.84 tff(s124_type, type, (
% 7.04/4.84 s124: $i)).
% 7.04/4.84 tff(s123_type, type, (
% 7.04/4.84 s123: $i)).
% 7.04/4.84 tff(s122_type, type, (
% 7.04/4.84 s122: $i)).
% 7.04/4.84 tff(s121_type, type, (
% 7.04/4.84 s121: $i)).
% 7.04/4.84 tff(s120_type, type, (
% 7.04/4.84 s120: $i)).
% 7.04/4.84 tff(s119_type, type, (
% 7.04/4.84 s119: $i)).
% 7.04/4.84 tff(s118_type, type, (
% 7.04/4.84 s118: $i)).
% 7.04/4.84 tff(s117_type, type, (
% 7.04/4.84 s117: $i)).
% 7.04/4.84 tff(s116_type, type, (
% 7.04/4.84 s116: $i)).
% 7.04/4.84 tff(s115_type, type, (
% 7.04/4.84 s115: $i)).
% 7.04/4.84 tff(s114_type, type, (
% 7.04/4.84 s114: $i)).
% 7.04/4.84 tff(s113_type, type, (
% 7.04/4.84 s113: $i)).
% 7.04/4.84 tff(s112_type, type, (
% 7.04/4.84 s112: $i)).
% 7.04/4.84 tff(s111_type, type, (
% 7.04/4.84 s111: $i)).
% 7.04/4.84 tff(s110_type, type, (
% 7.04/4.84 s110: $i)).
% 7.04/4.84 tff(s109_type, type, (
% 7.04/4.84 s109: $i)).
% 7.04/4.84 tff(s108_type, type, (
% 7.04/4.84 s108: $i)).
% 7.04/4.84 tff(s107_type, type, (
% 7.04/4.84 s107: $i)).
% 7.04/4.84 tff(s106_type, type, (
% 7.04/4.84 s106: $i)).
% 7.04/4.84 tff(s105_type, type, (
% 7.04/4.84 s105: $i)).
% 7.04/4.84 tff(s104_type, type, (
% 7.04/4.84 s104: $i)).
% 7.04/4.84 tff(s103_type, type, (
% 7.04/4.84 s103: $i)).
% 7.04/4.84 tff(s102_type, type, (
% 7.04/4.84 s102: $i)).
% 7.04/4.84 tff(s101_type, type, (
% 7.04/4.84 s101: $i)).
% 7.04/4.84 tff(s100_type, type, (
% 7.04/4.84 s100: $i)).
% 7.04/4.84 tff(s99_type, type, (
% 7.04/4.84 s99: $i)).
% 7.04/4.84 tff(s98_type, type, (
% 7.04/4.84 s98: $i)).
% 7.04/4.84 tff(s97_type, type, (
% 7.04/4.84 s97: $i)).
% 7.04/4.84 tff(s96_type, type, (
% 7.04/4.84 s96: $i)).
% 7.04/4.84 tff(s95_type, type, (
% 7.04/4.84 s95: $i)).
% 7.04/4.84 tff(s94_type, type, (
% 7.04/4.84 s94: $i)).
% 7.04/4.84 tff(s93_type, type, (
% 7.04/4.84 s93: $i)).
% 7.04/4.84 tff(s92_type, type, (
% 7.04/4.84 s92: $i)).
% 7.04/4.84 tff(s90_type, type, (
% 7.04/4.84 s90: $i)).
% 7.04/4.84 tff(s89_type, type, (
% 7.04/4.84 s89: $i)).
% 7.04/4.84 tff(s88_type, type, (
% 7.04/4.84 s88: $i)).
% 7.04/4.84 tff(s85_type, type, (
% 7.04/4.84 s85: $i)).
% 7.04/4.84 tff(s84_type, type, (
% 7.04/4.84 s84: $i)).
% 7.04/4.84 tff(s83_type, type, (
% 7.04/4.84 s83: $i)).
% 7.04/4.84 tff(s82_type, type, (
% 7.04/4.84 s82: $i)).
% 7.04/4.84 tff(s81_type, type, (
% 7.04/4.84 s81: $i)).
% 7.04/4.84 tff(s80_type, type, (
% 7.04/4.84 s80: $i)).
% 7.04/4.84 tff(s79_type, type, (
% 7.04/4.84 s79: $i)).
% 7.04/4.84 tff(s78_type, type, (
% 7.04/4.84 s78: $i)).
% 7.04/4.84 tff(s77_type, type, (
% 7.04/4.84 s77: $i)).
% 7.04/4.84 tff(s76_type, type, (
% 7.04/4.84 s76: $i)).
% 7.04/4.84 tff(s75_type, type, (
% 7.04/4.84 s75: $i)).
% 7.04/4.84 tff(s74_type, type, (
% 7.04/4.84 s74: $i)).
% 7.04/4.84 tff(s73_type, type, (
% 7.04/4.84 s73: $i)).
% 7.04/4.84 tff(s72_type, type, (
% 7.04/4.84 s72: $i)).
% 7.04/4.84 tff(s71_type, type, (
% 7.04/4.84 s71: $i)).
% 7.04/4.84 tff(s70_type, type, (
% 7.04/4.84 s70: $i)).
% 7.04/4.84 tff(s69_type, type, (
% 7.04/4.84 s69: $i)).
% 7.04/4.84 tff(s68_type, type, (
% 7.04/4.84 s68: $i)).
% 7.04/4.84 tff(s67_type, type, (
% 7.04/4.84 s67: $i)).
% 7.04/4.84 tff(s66_type, type, (
% 7.04/4.84 s66: $i)).
% 7.04/4.84 tff(s65_type, type, (
% 7.04/4.84 s65: $i)).
% 7.04/4.84 tff(s64_type, type, (
% 7.04/4.84 s64: $i)).
% 7.04/4.84 tff(s63_type, type, (
% 7.04/4.84 s63: $i)).
% 7.04/4.84 tff(s62_type, type, (
% 7.04/4.84 s62: $i)).
% 7.04/4.84 tff(s61_type, type, (
% 7.04/4.84 s61: $i)).
% 7.04/4.84 tff(s60_type, type, (
% 7.04/4.84 s60: $i)).
% 7.04/4.84 tff(s59_type, type, (
% 7.04/4.84 s59: $i)).
% 7.04/4.84 tff(s58_type, type, (
% 7.04/4.84 s58: $i)).
% 7.04/4.84 tff(s57_type, type, (
% 7.04/4.84 s57: $i)).
% 7.04/4.84 tff(s56_type, type, (
% 7.04/4.84 s56: $i)).
% 7.04/4.84 tff(s55_type, type, (
% 7.04/4.84 s55: $i)).
% 7.04/4.84 tff(s54_type, type, (
% 7.04/4.84 s54: $i)).
% 7.04/4.84 tff(s53_type, type, (
% 7.04/4.84 s53: $i)).
% 7.04/4.84 tff(s52_type, type, (
% 7.04/4.84 s52: $i)).
% 7.04/4.84 tff(s51_type, type, (
% 7.04/4.84 s51: $i)).
% 7.04/4.84 tff(s50_type, type, (
% 7.04/4.84 s50: $i)).
% 7.04/4.84 tff(s49_type, type, (
% 7.04/4.84 s49: $i)).
% 7.04/4.84 tff(s48_type, type, (
% 7.04/4.84 s48: $i)).
% 7.04/4.84 tff(s47_type, type, (
% 7.04/4.84 s47: $i)).
% 7.04/4.84 tff(s46_type, type, (
% 7.04/4.84 s46: $i)).
% 7.04/4.84 tff(s45_type, type, (
% 7.04/4.84 s45: $i)).
% 7.04/4.84 tff(s44_type, type, (
% 7.04/4.84 s44: $i)).
% 7.04/4.84 tff(s43_type, type, (
% 7.04/4.84 s43: $i)).
% 7.04/4.84 tff(s42_type, type, (
% 7.04/4.84 s42: $i)).
% 7.04/4.84 tff(s41_type, type, (
% 7.04/4.84 s41: $i)).
% 7.04/4.84 tff(s40_type, type, (
% 7.04/4.84 s40: $i)).
% 7.04/4.84 tff(s39_type, type, (
% 7.04/4.84 s39: $i)).
% 7.04/4.84 tff(s38_type, type, (
% 7.04/4.84 s38: $i)).
% 7.04/4.84 tff(s37_type, type, (
% 7.04/4.84 s37: $i)).
% 7.04/4.84 tff(s36_type, type, (
% 7.04/4.84 s36: $i)).
% 7.04/4.84 tff(s35_type, type, (
% 7.04/4.84 s35: $i)).
% 7.04/4.84 tff(s34_type, type, (
% 7.04/4.84 s34: $i)).
% 7.04/4.84 tff(s33_type, type, (
% 7.04/4.84 s33: $i)).
% 7.04/4.84 tff(s21_type, type, (
% 7.04/4.84 s21: $i)).
% 7.04/4.84 tff(s22_type, type, (
% 7.04/4.84 s22: $i)).
% 7.04/4.84 tff(s18_type, type, (
% 7.04/4.84 s18: $i)).
% 7.04/4.84 tff(s19_type, type, (
% 7.04/4.84 s19: $i)).
% 7.04/4.84 tff(s24_type, type, (
% 7.04/4.84 s24: $i)).
% 7.04/4.84 tff(s25_type, type, (
% 7.04/4.84 s25: $i)).
% 7.04/4.84 tff(s26_type, type, (
% 7.04/4.84 s26: $i)).
% 7.04/4.84 tff(s27_type, type, (
% 7.04/4.84 s27: $i)).
% 7.04/4.84 tff(s28_type, type, (
% 7.04/4.84 s28: $i)).
% 7.04/4.84 tff(s29_type, type, (
% 7.04/4.84 s29: $i)).
% 7.04/4.84 tff(s32_type, type, (
% 7.04/4.84 s32: $i)).
% 7.04/4.84 tff(s17_type, type, (
% 7.04/4.84 s17: $i)).
% 7.04/4.84 tff(s16_type, type, (
% 7.04/4.84 s16: $i)).
% 7.04/4.84 tff(s14_type, type, (
% 7.04/4.84 s14: $i)).
% 7.04/4.84 tff(s13_type, type, (
% 7.04/4.84 s13: $i)).
% 7.04/4.84 tff(s9_type, type, (
% 7.04/4.84 s9: $i)).
% 7.04/4.84 tff(s6_type, type, (
% 7.04/4.84 s6: $i)).
% 7.04/4.84 tff(s5_type, type, (
% 7.04/4.84 s5: $i)).
% 7.04/4.84 tff(s4_type, type, (
% 7.04/4.84 s4: $i)).
% 7.04/4.84 tff(s3_type, type, (
% 7.04/4.84 s3: $i)).
% 7.04/4.84 tff(s2_type, type, (
% 7.04/4.84 s2: $i)).
% 7.04/4.84 tff(s1_type, type, (
% 7.04/4.84 s1: $i)).
% 7.04/4.84 tff(s0_type, type, (
% 7.04/4.84 s0: $i)).
% 7.04/4.84 tff(node1_type, type, (
% 7.04/4.84 node1: $i > $o)).
% 7.04/4.84 tff(s8_type, type, (
% 7.04/4.84 s8: $i)).
% 7.04/4.84 tff(s7_type, type, (
% 7.04/4.84 s7: $i)).
% 7.04/4.84 tff(s11_type, type, (
% 7.04/4.84 s11: $i)).
% 7.04/4.84 tff(s12_type, type, (
% 7.04/4.84 s12: $i)).
% 7.04/4.84 tff(s23_type, type, (
% 7.04/4.84 s23: $i)).
% 7.04/4.84 tff(s20_type, type, (
% 7.04/4.84 s20: $i)).
% 7.04/4.84 tff(s91_type, type, (
% 7.04/4.84 s91: $i)).
% 7.04/4.84 tff(s199_type, type, (
% 7.04/4.84 s199: $i)).
% 7.04/4.84 tff(s200_type, type, (
% 7.04/4.84 s200: $i)).
% 7.04/4.84 tff(s201_type, type, (
% 7.04/4.84 s201: $i)).
% 7.04/4.84 tff(s202_type, type, (
% 7.04/4.84 s202: $i)).
% 7.04/4.84 tff(s197_type, type, (
% 7.04/4.84 s197: $i)).
% 7.04/4.84 tff(s198_type, type, (
% 7.04/4.84 s198: $i)).
% 7.04/4.84 tff(s207_type, type, (
% 7.04/4.84 s207: $i)).
% 7.04/4.84 tff(s206_type, type, (
% 7.04/4.84 s206: $i)).
% 7.04/4.84 tff(s204_type, type, (
% 7.04/4.84 s204: $i)).
% 7.04/4.84 tff(s205_type, type, (
% 7.04/4.84 s205: $i)).
% 7.04/4.84 tff(s203_type, type, (
% 7.04/4.84 s203: $i)).
% 7.04/4.84 tff(s230_type, type, (
% 7.04/4.84 s230: $i)).
% 7.04/4.84 tff(s229_type, type, (
% 7.04/4.84 s229: $i)).
% 7.04/4.84 tff(s228_type, type, (
% 7.04/4.84 s228: $i)).
% 7.04/4.84 tff(s231_type, type, (
% 7.04/4.84 s231: $i)).
% 7.04/4.84 tff(s343_type, type, (
% 7.04/4.84 s343: $i)).
% 7.04/4.84 tff(s342_type, type, (
% 7.04/4.84 s342: $i)).
% 7.04/4.84 tff(s341_type, type, (
% 7.04/4.84 s341: $i)).
% 7.04/4.84 tff(s340_type, type, (
% 7.04/4.84 s340: $i)).
% 7.04/4.84 tff(s339_type, type, (
% 7.04/4.84 s339: $i)).
% 7.04/4.84 tff(s338_type, type, (
% 7.04/4.84 s338: $i)).
% 7.04/4.84 tff(s269_type, type, (
% 7.04/4.84 s269: $i)).
% 7.04/4.84 tff(s270_type, type, (
% 7.04/4.84 s270: $i)).
% 7.04/4.84 tff(s271_type, type, (
% 7.04/4.84 s271: $i)).
% 7.04/4.84 tff(s272_type, type, (
% 7.04/4.85 s272: $i)).
% 7.04/4.85 tff(s273_type, type, (
% 7.04/4.85 s273: $i)).
% 7.04/4.85 tff(s274_type, type, (
% 7.04/4.85 s274: $i)).
% 7.04/4.85 tff(s275_type, type, (
% 7.04/4.85 s275: $i)).
% 7.04/4.85 tff(s276_type, type, (
% 7.04/4.85 s276: $i)).
% 7.04/4.85 tff(s277_type, type, (
% 7.04/4.85 s277: $i)).
% 7.04/4.85 tff(s278_type, type, (
% 7.04/4.85 s278: $i)).
% 7.04/4.85 tff(s279_type, type, (
% 7.04/4.85 s279: $i)).
% 7.04/4.85 tff(s280_type, type, (
% 7.04/4.85 s280: $i)).
% 7.04/4.85 tff(s281_type, type, (
% 7.04/4.85 s281: $i)).
% 7.04/4.85 tff(s282_type, type, (
% 7.04/4.85 s282: $i)).
% 7.04/4.85 tff(s283_type, type, (
% 7.04/4.85 s283: $i)).
% 7.04/4.85 tff(s284_type, type, (
% 7.04/4.85 s284: $i)).
% 7.04/4.85 tff(s285_type, type, (
% 7.04/4.85 s285: $i)).
% 7.04/4.85 tff(s286_type, type, (
% 7.04/4.85 s286: $i)).
% 7.04/4.85 tff(s287_type, type, (
% 7.04/4.85 s287: $i)).
% 7.04/4.85 tff(s288_type, type, (
% 7.04/4.85 s288: $i)).
% 7.04/4.85 tff(s289_type, type, (
% 7.04/4.85 s289: $i)).
% 7.04/4.85 tff(s290_type, type, (
% 7.04/4.85 s290: $i)).
% 7.04/4.85 tff(s291_type, type, (
% 7.04/4.85 s291: $i)).
% 7.04/4.85 tff(s292_type, type, (
% 7.04/4.85 s292: $i)).
% 7.04/4.85 tff(s293_type, type, (
% 7.04/4.85 s293: $i)).
% 7.04/4.85 tff(s295_type, type, (
% 7.04/4.85 s295: $i)).
% 7.04/4.85 tff(s296_type, type, (
% 7.04/4.85 s296: $i)).
% 7.04/4.85 tff(s297_type, type, (
% 7.04/4.85 s297: $i)).
% 7.04/4.85 tff(s298_type, type, (
% 7.04/4.85 s298: $i)).
% 7.04/4.85 tff(s299_type, type, (
% 7.04/4.85 s299: $i)).
% 7.04/4.85 tff(s300_type, type, (
% 7.04/4.85 s300: $i)).
% 7.04/4.85 tff(s301_type, type, (
% 7.04/4.85 s301: $i)).
% 7.04/4.85 tff(s302_type, type, (
% 7.04/4.85 s302: $i)).
% 7.04/4.85 tff(s303_type, type, (
% 7.04/4.85 s303: $i)).
% 7.04/4.85 tff(s304_type, type, (
% 7.04/4.85 s304: $i)).
% 7.04/4.85 tff(s305_type, type, (
% 7.04/4.85 s305: $i)).
% 7.04/4.85 tff(s306_type, type, (
% 7.04/4.85 s306: $i)).
% 7.04/4.85 tff(s307_type, type, (
% 7.04/4.85 s307: $i)).
% 7.04/4.85 tff(s308_type, type, (
% 7.04/4.85 s308: $i)).
% 7.04/4.85 tff(s309_type, type, (
% 7.04/4.85 s309: $i)).
% 7.04/4.85 tff(s310_type, type, (
% 7.04/4.85 s310: $i)).
% 7.04/4.85 tff(s311_type, type, (
% 7.04/4.85 s311: $i)).
% 7.04/4.85 tff(s312_type, type, (
% 7.04/4.85 s312: $i)).
% 7.04/4.85 tff(s313_type, type, (
% 7.04/4.85 s313: $i)).
% 7.04/4.85 tff(s314_type, type, (
% 7.04/4.85 s314: $i)).
% 7.04/4.85 tff(s315_type, type, (
% 7.04/4.85 s315: $i)).
% 7.04/4.85 tff(s316_type, type, (
% 7.04/4.85 s316: $i)).
% 7.04/4.85 tff(s317_type, type, (
% 7.04/4.85 s317: $i)).
% 7.04/4.85 tff(s318_type, type, (
% 7.04/4.85 s318: $i)).
% 7.04/4.85 tff(s319_type, type, (
% 7.04/4.85 s319: $i)).
% 7.04/4.85 tff(s320_type, type, (
% 7.04/4.85 s320: $i)).
% 7.04/4.85 tff(s321_type, type, (
% 7.04/4.85 s321: $i)).
% 7.04/4.85 tff(s322_type, type, (
% 7.04/4.85 s322: $i)).
% 7.04/4.85 tff(s323_type, type, (
% 7.04/4.85 s323: $i)).
% 7.04/4.85 tff(s324_type, type, (
% 7.04/4.85 s324: $i)).
% 7.04/4.85 tff(s325_type, type, (
% 7.04/4.85 s325: $i)).
% 7.04/4.85 tff(s326_type, type, (
% 7.04/4.85 s326: $i)).
% 7.04/4.85 tff(s327_type, type, (
% 7.07/4.85 s327: $i)).
% 7.07/4.85 tff(s328_type, type, (
% 7.07/4.85 s328: $i)).
% 7.07/4.85 tff(s329_type, type, (
% 7.07/4.85 s329: $i)).
% 7.07/4.85 tff(s330_type, type, (
% 7.07/4.85 s330: $i)).
% 7.07/4.85 tff(s331_type, type, (
% 7.07/4.85 s331: $i)).
% 7.07/4.85 tff(s332_type, type, (
% 7.07/4.85 s332: $i)).
% 7.07/4.85 tff(s333_type, type, (
% 7.07/4.85 s333: $i)).
% 7.07/4.85 tff(s334_type, type, (
% 7.07/4.85 s334: $i)).
% 7.07/4.85 tff(s335_type, type, (
% 7.07/4.85 s335: $i)).
% 7.07/4.85 tff(s336_type, type, (
% 7.07/4.85 s336: $i)).
% 7.07/4.85 tff(s337_type, type, (
% 7.07/4.85 s337: $i)).
% 7.07/4.85 tff(s346_type, type, (
% 7.07/4.85 s346: $i)).
% 7.07/4.85 tff(until2p7_type, type, (
% 7.07/4.85 until2p7: $i > $o)).
% 7.07/4.85 tff(xuntil2p8_type, type, (
% 7.07/4.85 xuntil2p8: $i > $o)).
% 7.07/4.85 tff(last_type, type, (
% 7.07/4.85 last: $i > $o)).
% 7.07/4.85 tff(loop_type, type, (
% 7.07/4.85 loop: $o)).
% 7.07/4.85 tff(1,plain,
% 7.07/4.85 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node2(X, Y)) <=> ((~trans(X, Y)) | node2(X, Y)))),
% 7.07/4.85 inference(bind,[status(th)],[])).
% 7.07/4.85 tff(2,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 7.07/4.85 inference(quant_intro,[status(thm)],[1])).
% 7.07/4.85 tff(3,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(4,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_8')).
% 7.07/4.85 tff(5,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[4, 3])).
% 7.07/4.85 tff(6,plain,(
% 7.07/4.85 ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 7.07/4.85 inference(skolemize,[status(sab)],[5])).
% 7.07/4.85 tff(7,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[6, 2])).
% 7.07/4.85 tff(8,assumption,(node2(s349, s15)), introduced(assumption)).
% 7.07/4.85 tff(9,assumption,(node4(s30)), introduced(assumption)).
% 7.07/4.85 tff(10,plain,
% 7.07/4.85 (^[X: $i] : refl((always3(X) | (~node4(X))) <=> (always3(X) | (~node4(X))))),
% 7.07/4.85 inference(bind,[status(th)],[])).
% 7.07/4.85 tff(11,plain,
% 7.07/4.85 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 7.07/4.85 inference(quant_intro,[status(thm)],[10])).
% 7.07/4.85 tff(12,plain,
% 7.07/4.85 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(13,axiom,(![X: $i] : (always3(X) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty5')).
% 7.07/4.85 tff(14,plain,
% 7.07/4.85 (![X: $i] : (always3(X) | (~node4(X)))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[13, 12])).
% 7.07/4.85 tff(15,plain,(
% 7.07/4.85 ![X: $i] : (always3(X) | (~node4(X)))),
% 7.07/4.85 inference(skolemize,[status(sab)],[14])).
% 7.07/4.85 tff(16,plain,
% 7.07/4.85 (![X: $i] : (always3(X) | (~node4(X)))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[15, 11])).
% 7.07/4.85 tff(17,plain,
% 7.07/4.85 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(18,plain,
% 7.07/4.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(19,plain,
% 7.07/4.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[18, 17])).
% 7.07/4.85 tff(20,plain,
% 7.07/4.85 (always3(s30)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[19, 16, 9])).
% 7.07/4.85 tff(21,assumption,(~m_main_v_state(s31, c_busy)), introduced(assumption)).
% 7.07/4.85 tff(22,plain,
% 7.07/4.85 (^[X: $i] : refl((m_main_v_request(X) | (~node4(X))) <=> (m_main_v_request(X) | (~node4(X))))),
% 7.07/4.85 inference(bind,[status(th)],[])).
% 7.07/4.85 tff(23,plain,
% 7.07/4.85 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 7.07/4.85 inference(quant_intro,[status(thm)],[22])).
% 7.07/4.85 tff(24,plain,
% 7.07/4.85 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(25,axiom,(![X: $i] : (m_main_v_request(X) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty4')).
% 7.07/4.85 tff(26,plain,
% 7.07/4.85 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[25, 24])).
% 7.07/4.85 tff(27,plain,(
% 7.07/4.85 ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 7.07/4.85 inference(skolemize,[status(sab)],[26])).
% 7.07/4.85 tff(28,plain,
% 7.07/4.85 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[27, 23])).
% 7.07/4.85 tff(29,plain,
% 7.07/4.85 (((~![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)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(30,plain,
% 7.07/4.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s30) | (~node4(s30)))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(31,plain,
% 7.07/4.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s30) | (~node4(s30))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[30, 29])).
% 7.07/4.85 tff(32,plain,
% 7.07/4.85 (m_main_v_request(s30)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[31, 28, 9])).
% 7.07/4.85 tff(33,plain,
% 7.07/4.85 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 7.07/4.85 inference(bind,[status(th)],[])).
% 7.07/4.85 tff(34,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 7.07/4.85 inference(quant_intro,[status(thm)],[33])).
% 7.07/4.85 tff(35,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(36,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound351')).
% 7.07/4.85 tff(37,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[36, 35])).
% 7.07/4.85 tff(38,plain,(
% 7.07/4.85 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 7.07/4.85 inference(skolemize,[status(sab)],[37])).
% 7.07/4.85 tff(39,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[38, 34])).
% 7.07/4.85 tff(40,plain,
% 7.07/4.85 (succ(s30, s31) <=> succ(s30, s31)),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(41,axiom,(succ(s30, s31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound31')).
% 7.07/4.85 tff(42,plain,
% 7.07/4.85 (succ(s30, s31)),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[41, 40])).
% 7.07/4.85 tff(43,plain,
% 7.07/4.85 (((~![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))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(44,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(45,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[44, 43])).
% 7.07/4.85 tff(46,plain,
% 7.07/4.85 (trans(s30, s31)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[45, 42, 39])).
% 7.07/4.85 tff(47,plain,
% 7.07/4.85 (((~![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))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(48,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s30, s31)) | node2(s30, s31))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(49,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s30, s31)) | node2(s30, s31)),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[48, 47])).
% 7.07/4.85 tff(50,plain,
% 7.07/4.85 (node2(s30, s31)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[49, 7, 46])).
% 7.07/4.85 tff(51,plain,
% 7.07/4.85 (^[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))))),
% 7.07/4.85 inference(bind,[status(th)],[])).
% 7.07/4.85 tff(52,plain,
% 7.07/4.85 (![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))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 7.07/4.85 inference(quant_intro,[status(thm)],[51])).
% 7.07/4.85 tff(53,plain,
% 7.07/4.85 (![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))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(54,plain,
% 7.07/4.85 (^[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)))))),
% 7.07/4.85 inference(bind,[status(th)],[])).
% 7.07/4.85 tff(55,plain,
% 7.07/4.85 (![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)))),
% 7.07/4.85 inference(quant_intro,[status(thm)],[54])).
% 7.07/4.85 tff(56,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')).
% 7.07/4.85 tff(57,plain,
% 7.07/4.85 (![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)))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[56, 55])).
% 7.07/4.85 tff(58,plain,
% 7.07/4.85 (![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)))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[57, 53])).
% 7.07/4.85 tff(59,plain,(
% 7.07/4.85 ![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)))),
% 7.07/4.85 inference(skolemize,[status(sab)],[58])).
% 7.07/4.85 tff(60,plain,
% 7.07/4.85 (![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)))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[59, 52])).
% 7.07/4.85 tff(61,plain,
% 7.07/4.85 (((~![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(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)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(62,plain,
% 7.07/4.85 ((~![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(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30)))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(63,plain,
% 7.07/4.85 ((~![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(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[62, 61])).
% 7.07/4.85 tff(64,plain,
% 7.07/4.85 ((~m_main_v_state(s30, c_ready)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[63, 60, 50])).
% 7.07/4.85 tff(65,plain,
% 7.07/4.85 (~m_main_v_state(s30, c_ready)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[64, 32, 21])).
% 7.07/4.85 tff(66,plain,
% 7.07/4.85 (^[X: $i] : refl(((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ((~m_main_v_state(X, c_busy)) | (~always3(X))))),
% 7.07/4.85 inference(bind,[status(th)],[])).
% 7.07/4.85 tff(67,plain,
% 7.07/4.85 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 7.07/4.85 inference(quant_intro,[status(thm)],[66])).
% 7.07/4.85 tff(68,plain,
% 7.07/4.85 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(69,axiom,(![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty1')).
% 7.07/4.85 tff(70,plain,
% 7.07/4.85 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[69, 68])).
% 7.07/4.85 tff(71,plain,(
% 7.07/4.85 ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 7.07/4.85 inference(skolemize,[status(sab)],[70])).
% 7.07/4.85 tff(72,plain,
% 7.07/4.85 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[71, 67])).
% 7.07/4.85 tff(73,plain,
% 7.07/4.85 (((~![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)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(74,plain,
% 7.07/4.85 (((~m_main_v_state(s30, c_busy)) | (~always3(s30))) <=> ((~always3(s30)) | (~m_main_v_state(s30, c_busy)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(75,plain,
% 7.07/4.85 (((~![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))))),
% 7.07/4.85 inference(monotonicity,[status(thm)],[74])).
% 7.07/4.85 tff(76,plain,
% 7.07/4.85 (((~![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)))),
% 7.07/4.85 inference(transitivity,[status(thm)],[75, 73])).
% 7.07/4.85 tff(77,plain,
% 7.07/4.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s30, c_busy)) | (~always3(s30)))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(78,plain,
% 7.07/4.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s30)) | (~m_main_v_state(s30, c_busy))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[77, 76])).
% 7.07/4.85 tff(79,plain,
% 7.07/4.85 (~m_main_v_state(s30, c_busy)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[78, 72, 20])).
% 7.07/4.85 tff(80,plain,
% 7.07/4.85 (^[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)))),
% 7.07/4.85 inference(bind,[status(th)],[])).
% 7.07/4.85 tff(81,plain,
% 7.07/4.85 (![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))),
% 7.07/4.85 inference(quant_intro,[status(thm)],[80])).
% 7.07/4.85 tff(82,plain,
% 7.07/4.85 (![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))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(83,plain,
% 7.07/4.85 (^[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)))),
% 7.07/4.85 inference(bind,[status(th)],[])).
% 7.07/4.85 tff(84,plain,
% 7.07/4.85 (![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))),
% 7.07/4.85 inference(quant_intro,[status(thm)],[83])).
% 7.07/4.85 tff(85,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')).
% 7.07/4.85 tff(86,plain,
% 7.07/4.85 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[85, 84])).
% 7.07/4.85 tff(87,plain,
% 7.07/4.85 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[86, 82])).
% 7.07/4.85 tff(88,plain,(
% 7.07/4.85 ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 7.07/4.85 inference(skolemize,[status(sab)],[87])).
% 7.07/4.85 tff(89,plain,
% 7.07/4.85 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[88, 81])).
% 7.07/4.85 tff(90,plain,
% 7.07/4.85 (((~![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))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(91,plain,
% 7.07/4.85 ((~![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))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(92,plain,
% 7.07/4.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready)),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[91, 90])).
% 7.07/4.85 tff(93,plain,
% 7.07/4.85 ($false),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[92, 89, 79, 65])).
% 7.07/4.85 tff(94,plain,((~node4(s30)) | m_main_v_state(s31, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.85 tff(95,plain,
% 7.07/4.85 (m_main_v_state(s31, c_busy)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[94, 9])).
% 7.07/4.85 tff(96,plain,
% 7.07/4.85 (((~![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)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(97,plain,
% 7.07/4.85 (((~m_main_v_state(s31, c_busy)) | (~always3(s31))) <=> ((~always3(s31)) | (~m_main_v_state(s31, c_busy)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(98,plain,
% 7.07/4.85 (((~![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))))),
% 7.07/4.85 inference(monotonicity,[status(thm)],[97])).
% 7.07/4.85 tff(99,plain,
% 7.07/4.85 (((~![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)))),
% 7.07/4.85 inference(transitivity,[status(thm)],[98, 96])).
% 7.07/4.85 tff(100,plain,
% 7.07/4.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s31, c_busy)) | (~always3(s31)))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(101,plain,
% 7.07/4.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s31)) | (~m_main_v_state(s31, c_busy))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[100, 99])).
% 7.07/4.85 tff(102,plain,
% 7.07/4.85 (~always3(s31)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[101, 72, 95])).
% 7.07/4.85 tff(103,plain,
% 7.07/4.85 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 7.07/4.85 inference(bind,[status(th)],[])).
% 7.07/4.85 tff(104,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 7.07/4.85 inference(quant_intro,[status(thm)],[103])).
% 7.07/4.85 tff(105,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(106,plain,
% 7.07/4.85 (^[Y: $i, X: $i] : rewrite(((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 7.07/4.85 inference(bind,[status(th)],[])).
% 7.07/4.85 tff(107,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 7.07/4.85 inference(quant_intro,[status(thm)],[106])).
% 7.07/4.85 tff(108,axiom,(![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty2')).
% 7.07/4.85 tff(109,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[108, 107])).
% 7.07/4.85 tff(110,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[109, 105])).
% 7.07/4.85 tff(111,plain,(
% 7.07/4.85 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 7.07/4.85 inference(skolemize,[status(sab)],[110])).
% 7.07/4.85 tff(112,plain,
% 7.07/4.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[111, 104])).
% 7.07/4.85 tff(113,plain,
% 7.07/4.85 (((~![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))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(114,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s30, s31)) | (~always3(s30)) | always3(s31))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(115,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s30, s31)) | (~always3(s30)) | always3(s31)),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[114, 113])).
% 7.07/4.85 tff(116,plain,
% 7.07/4.85 ((~always3(s30)) | always3(s31)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[115, 112, 46])).
% 7.07/4.85 tff(117,plain,
% 7.07/4.85 ($false),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[116, 102, 20])).
% 7.07/4.85 tff(118,plain,(~node4(s30)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.85 tff(119,assumption,(node4(s86)), introduced(assumption)).
% 7.07/4.85 tff(120,plain,
% 7.07/4.85 (((~![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)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(121,plain,
% 7.07/4.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s86) | (~node4(s86)))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(122,plain,
% 7.07/4.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s86) | (~node4(s86))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[121, 120])).
% 7.07/4.85 tff(123,plain,
% 7.07/4.85 (m_main_v_request(s86)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[122, 28, 119])).
% 7.07/4.85 tff(124,plain,
% 7.07/4.85 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s86) | (~node4(s86)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s86) | (~node4(s86)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(125,plain,
% 7.07/4.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s86) | (~node4(s86)))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(126,plain,
% 7.07/4.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s86) | (~node4(s86))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[125, 124])).
% 7.07/4.85 tff(127,plain,
% 7.07/4.85 (always3(s86)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[126, 16, 119])).
% 7.07/4.85 tff(128,plain,
% 7.07/4.85 (succ(s86, s87) <=> succ(s86, s87)),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(129,axiom,(succ(s86, s87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound87')).
% 7.07/4.85 tff(130,plain,
% 7.07/4.85 (succ(s86, s87)),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[129, 128])).
% 7.07/4.85 tff(131,plain,
% 7.07/4.85 (((~![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))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(132,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(133,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[132, 131])).
% 7.07/4.85 tff(134,plain,
% 7.07/4.85 (trans(s86, s87)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[133, 130, 39])).
% 7.07/4.85 tff(135,plain,
% 7.07/4.85 (((~![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))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(136,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s86, s87)) | (~always3(s86)) | always3(s87))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(137,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s86, s87)) | (~always3(s86)) | always3(s87)),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[136, 135])).
% 7.07/4.85 tff(138,plain,
% 7.07/4.85 ((~always3(s86)) | always3(s87)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[137, 112, 134])).
% 7.07/4.85 tff(139,plain,
% 7.07/4.85 (always3(s87)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[138, 127])).
% 7.07/4.85 tff(140,plain,
% 7.07/4.85 (((~![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)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(141,plain,
% 7.07/4.85 (((~m_main_v_state(s87, c_busy)) | (~always3(s87))) <=> ((~always3(s87)) | (~m_main_v_state(s87, c_busy)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(142,plain,
% 7.07/4.85 (((~![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))))),
% 7.07/4.85 inference(monotonicity,[status(thm)],[141])).
% 7.07/4.85 tff(143,plain,
% 7.07/4.85 (((~![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)))),
% 7.07/4.85 inference(transitivity,[status(thm)],[142, 140])).
% 7.07/4.85 tff(144,plain,
% 7.07/4.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s87, c_busy)) | (~always3(s87)))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(145,plain,
% 7.07/4.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s87)) | (~m_main_v_state(s87, c_busy))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[144, 143])).
% 7.07/4.85 tff(146,plain,
% 7.07/4.85 (~m_main_v_state(s87, c_busy)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[145, 72, 139])).
% 7.07/4.85 tff(147,plain,
% 7.07/4.85 (((~![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))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(148,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s86, s87)) | node2(s86, s87))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(149,plain,
% 7.07/4.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s86, s87)) | node2(s86, s87)),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[148, 147])).
% 7.07/4.85 tff(150,plain,
% 7.07/4.85 (node2(s86, s87)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[149, 7, 134])).
% 7.07/4.85 tff(151,plain,
% 7.07/4.85 (((~![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(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)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(152,plain,
% 7.07/4.85 ((~![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(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86)))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(153,plain,
% 7.07/4.85 ((~![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(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[152, 151])).
% 7.07/4.85 tff(154,plain,
% 7.07/4.85 ((~m_main_v_state(s86, c_ready)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86))),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[153, 60, 150])).
% 7.07/4.85 tff(155,plain,
% 7.07/4.85 (~m_main_v_state(s86, c_ready)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[154, 146, 123])).
% 7.07/4.85 tff(156,plain,
% 7.07/4.85 (((~![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)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(157,plain,
% 7.07/4.85 (((~m_main_v_state(s86, c_busy)) | (~always3(s86))) <=> ((~always3(s86)) | (~m_main_v_state(s86, c_busy)))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(158,plain,
% 7.07/4.85 (((~![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))))),
% 7.07/4.85 inference(monotonicity,[status(thm)],[157])).
% 7.07/4.85 tff(159,plain,
% 7.07/4.85 (((~![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)))),
% 7.07/4.85 inference(transitivity,[status(thm)],[158, 156])).
% 7.07/4.85 tff(160,plain,
% 7.07/4.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s86, c_busy)) | (~always3(s86)))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(161,plain,
% 7.07/4.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s86)) | (~m_main_v_state(s86, c_busy))),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[160, 159])).
% 7.07/4.85 tff(162,plain,
% 7.07/4.85 (~m_main_v_state(s86, c_busy)),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[161, 72, 127])).
% 7.07/4.85 tff(163,plain,
% 7.07/4.85 (((~![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))),
% 7.07/4.85 inference(rewrite,[status(thm)],[])).
% 7.07/4.85 tff(164,plain,
% 7.07/4.85 ((~![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))),
% 7.07/4.85 inference(quant_inst,[status(thm)],[])).
% 7.07/4.85 tff(165,plain,
% 7.07/4.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready)),
% 7.07/4.85 inference(modus_ponens,[status(thm)],[164, 163])).
% 7.07/4.85 tff(166,plain,
% 7.07/4.85 ($false),
% 7.07/4.85 inference(unit_resolution,[status(thm)],[165, 89, 162, 155])).
% 7.07/4.85 tff(167,plain,(~node4(s86)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.85 tff(168,assumption,(node4(s150)), introduced(assumption)).
% 7.07/4.85 tff(169,assumption,(~m_main_v_state(s151, c_busy)), introduced(assumption)).
% 7.07/4.86 tff(170,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(171,plain,
% 7.07/4.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s150) | (~node4(s150)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(172,plain,
% 7.07/4.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s150) | (~node4(s150))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[171, 170])).
% 7.07/4.86 tff(173,plain,
% 7.07/4.86 (m_main_v_request(s150)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[172, 28, 168])).
% 7.07/4.86 tff(174,plain,
% 7.07/4.86 (succ(s150, s151) <=> succ(s150, s151)),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(175,axiom,(succ(s150, s151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound151')).
% 7.07/4.86 tff(176,plain,
% 7.07/4.86 (succ(s150, s151)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[175, 174])).
% 7.07/4.86 tff(177,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(178,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(179,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[178, 177])).
% 7.07/4.86 tff(180,plain,
% 7.07/4.86 (trans(s150, s151)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[179, 176, 39])).
% 7.07/4.86 tff(181,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(182,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s150, s151)) | node2(s150, s151))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(183,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s150, s151)) | node2(s150, s151)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[182, 181])).
% 7.07/4.86 tff(184,plain,
% 7.07/4.86 (node2(s150, s151)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[183, 7, 180])).
% 7.07/4.86 tff(185,plain,
% 7.07/4.86 (((~![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(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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(186,plain,
% 7.07/4.86 ((~![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(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(187,plain,
% 7.07/4.86 ((~![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(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[186, 185])).
% 7.07/4.86 tff(188,plain,
% 7.07/4.86 ((~m_main_v_state(s150, c_ready)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150))),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[187, 60, 184])).
% 7.07/4.86 tff(189,plain,
% 7.07/4.86 (~m_main_v_state(s150, c_ready)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[188, 173, 169])).
% 7.07/4.86 tff(190,plain,
% 7.07/4.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s150) | (~node4(s150)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s150) | (~node4(s150)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(191,plain,
% 7.07/4.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s150) | (~node4(s150)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(192,plain,
% 7.07/4.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s150) | (~node4(s150))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[191, 190])).
% 7.07/4.86 tff(193,plain,
% 7.07/4.86 (always3(s150)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[192, 16, 168])).
% 7.07/4.86 tff(194,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(195,plain,
% 7.07/4.86 (((~m_main_v_state(s150, c_busy)) | (~always3(s150))) <=> ((~always3(s150)) | (~m_main_v_state(s150, c_busy)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(196,plain,
% 7.07/4.86 (((~![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))))),
% 7.07/4.86 inference(monotonicity,[status(thm)],[195])).
% 7.07/4.86 tff(197,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(transitivity,[status(thm)],[196, 194])).
% 7.07/4.86 tff(198,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s150, c_busy)) | (~always3(s150)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(199,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s150)) | (~m_main_v_state(s150, c_busy))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[198, 197])).
% 7.07/4.86 tff(200,plain,
% 7.07/4.86 (~m_main_v_state(s150, c_busy)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[199, 72, 193])).
% 7.07/4.86 tff(201,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(202,plain,
% 7.07/4.86 ((~![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))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(203,plain,
% 7.07/4.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s150, c_busy) | m_main_v_state(s150, c_ready)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[202, 201])).
% 7.07/4.86 tff(204,plain,
% 7.07/4.86 ($false),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[203, 89, 200, 189])).
% 7.07/4.86 tff(205,plain,((~node4(s150)) | m_main_v_state(s151, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.86 tff(206,plain,
% 7.07/4.86 (m_main_v_state(s151, c_busy)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[205, 168])).
% 7.07/4.86 tff(207,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(208,plain,
% 7.07/4.86 (((~m_main_v_state(s151, c_busy)) | (~always3(s151))) <=> ((~always3(s151)) | (~m_main_v_state(s151, c_busy)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(209,plain,
% 7.07/4.86 (((~![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))))),
% 7.07/4.86 inference(monotonicity,[status(thm)],[208])).
% 7.07/4.86 tff(210,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(transitivity,[status(thm)],[209, 207])).
% 7.07/4.86 tff(211,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s151, c_busy)) | (~always3(s151)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(212,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s151)) | (~m_main_v_state(s151, c_busy))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[211, 210])).
% 7.07/4.86 tff(213,plain,
% 7.07/4.86 (~always3(s151)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[212, 72, 206])).
% 7.07/4.86 tff(214,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(215,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s150, s151)) | (~always3(s150)) | always3(s151))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(216,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s150, s151)) | (~always3(s150)) | always3(s151)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[215, 214])).
% 7.07/4.86 tff(217,plain,
% 7.07/4.86 ((~always3(s150)) | always3(s151)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[216, 112, 180])).
% 7.07/4.86 tff(218,plain,
% 7.07/4.86 (~always3(s150)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[217, 213])).
% 7.07/4.86 tff(219,plain,
% 7.07/4.86 ($false),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[192, 16, 218, 168])).
% 7.07/4.86 tff(220,plain,(~node4(s150)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.86 tff(221,assumption,(node4(s21)), introduced(assumption)).
% 7.07/4.86 tff(222,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(223,plain,
% 7.07/4.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s21) | (~node4(s21)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(224,plain,
% 7.07/4.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s21) | (~node4(s21))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[223, 222])).
% 7.07/4.86 tff(225,plain,
% 7.07/4.86 (m_main_v_request(s21)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[224, 28, 221])).
% 7.07/4.86 tff(226,plain,
% 7.07/4.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(227,plain,
% 7.07/4.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(228,plain,
% 7.07/4.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[227, 226])).
% 7.07/4.86 tff(229,plain,
% 7.07/4.86 (always3(s21)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[228, 16, 221])).
% 7.07/4.86 tff(230,plain,
% 7.07/4.86 (succ(s21, s22) <=> succ(s21, s22)),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(231,axiom,(succ(s21, s22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound22')).
% 7.07/4.86 tff(232,plain,
% 7.07/4.86 (succ(s21, s22)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[231, 230])).
% 7.07/4.86 tff(233,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(234,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(235,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[234, 233])).
% 7.07/4.86 tff(236,plain,
% 7.07/4.86 (trans(s21, s22)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[235, 232, 39])).
% 7.07/4.86 tff(237,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(238,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s21, s22)) | (~always3(s21)) | always3(s22))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(239,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s21, s22)) | (~always3(s21)) | always3(s22)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[238, 237])).
% 7.07/4.86 tff(240,plain,
% 7.07/4.86 ((~always3(s21)) | always3(s22)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[239, 112, 236])).
% 7.07/4.86 tff(241,plain,
% 7.07/4.86 (always3(s22)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[240, 229])).
% 7.07/4.86 tff(242,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(243,plain,
% 7.07/4.86 (((~m_main_v_state(s22, c_busy)) | (~always3(s22))) <=> ((~always3(s22)) | (~m_main_v_state(s22, c_busy)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(244,plain,
% 7.07/4.86 (((~![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))))),
% 7.07/4.86 inference(monotonicity,[status(thm)],[243])).
% 7.07/4.86 tff(245,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(transitivity,[status(thm)],[244, 242])).
% 7.07/4.86 tff(246,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s22, c_busy)) | (~always3(s22)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(247,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s22)) | (~m_main_v_state(s22, c_busy))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[246, 245])).
% 7.07/4.86 tff(248,plain,
% 7.07/4.86 (~m_main_v_state(s22, c_busy)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[247, 72, 241])).
% 7.07/4.86 tff(249,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(250,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s21, s22)) | node2(s21, s22))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(251,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s21, s22)) | node2(s21, s22)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[250, 249])).
% 7.07/4.86 tff(252,plain,
% 7.07/4.86 (node2(s21, s22)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[251, 7, 236])).
% 7.07/4.86 tff(253,plain,
% 7.07/4.86 (((~![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(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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(254,plain,
% 7.07/4.86 ((~![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(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(255,plain,
% 7.07/4.86 ((~![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(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[254, 253])).
% 7.07/4.86 tff(256,plain,
% 7.07/4.86 ((~m_main_v_state(s21, c_ready)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[255, 60, 252])).
% 7.07/4.86 tff(257,plain,
% 7.07/4.86 (~m_main_v_state(s21, c_ready)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[256, 248, 225])).
% 7.07/4.86 tff(258,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(259,plain,
% 7.07/4.86 (((~m_main_v_state(s21, c_busy)) | (~always3(s21))) <=> ((~always3(s21)) | (~m_main_v_state(s21, c_busy)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(260,plain,
% 7.07/4.86 (((~![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))))),
% 7.07/4.86 inference(monotonicity,[status(thm)],[259])).
% 7.07/4.86 tff(261,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(transitivity,[status(thm)],[260, 258])).
% 7.07/4.86 tff(262,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s21, c_busy)) | (~always3(s21)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(263,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s21)) | (~m_main_v_state(s21, c_busy))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[262, 261])).
% 7.07/4.86 tff(264,plain,
% 7.07/4.86 (~m_main_v_state(s21, c_busy)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[263, 72, 229])).
% 7.07/4.86 tff(265,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(266,plain,
% 7.07/4.86 ((~![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))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(267,plain,
% 7.07/4.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[266, 265])).
% 7.07/4.86 tff(268,plain,
% 7.07/4.86 ($false),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[267, 89, 264, 257])).
% 7.07/4.86 tff(269,plain,(~node4(s21)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.86 tff(270,assumption,(node4(s18)), introduced(assumption)).
% 7.07/4.86 tff(271,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(272,plain,
% 7.07/4.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s18) | (~node4(s18)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(273,plain,
% 7.07/4.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s18) | (~node4(s18))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[272, 271])).
% 7.07/4.86 tff(274,plain,
% 7.07/4.86 (m_main_v_request(s18)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[273, 28, 270])).
% 7.07/4.86 tff(275,plain,
% 7.07/4.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(276,plain,
% 7.07/4.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(277,plain,
% 7.07/4.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[276, 275])).
% 7.07/4.86 tff(278,plain,
% 7.07/4.86 (always3(s18)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[277, 16, 270])).
% 7.07/4.86 tff(279,plain,
% 7.07/4.86 (succ(s18, s19) <=> succ(s18, s19)),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(280,axiom,(succ(s18, s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound19')).
% 7.07/4.86 tff(281,plain,
% 7.07/4.86 (succ(s18, s19)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[280, 279])).
% 7.07/4.86 tff(282,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(283,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(284,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[283, 282])).
% 7.07/4.86 tff(285,plain,
% 7.07/4.86 (trans(s18, s19)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[284, 281, 39])).
% 7.07/4.86 tff(286,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(287,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s18, s19)) | (~always3(s18)) | always3(s19))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(288,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s18, s19)) | (~always3(s18)) | always3(s19)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[287, 286])).
% 7.07/4.86 tff(289,plain,
% 7.07/4.86 ((~always3(s18)) | always3(s19)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[288, 112, 285])).
% 7.07/4.86 tff(290,plain,
% 7.07/4.86 (always3(s19)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[289, 278])).
% 7.07/4.86 tff(291,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(292,plain,
% 7.07/4.86 (((~m_main_v_state(s19, c_busy)) | (~always3(s19))) <=> ((~always3(s19)) | (~m_main_v_state(s19, c_busy)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(293,plain,
% 7.07/4.86 (((~![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))))),
% 7.07/4.86 inference(monotonicity,[status(thm)],[292])).
% 7.07/4.86 tff(294,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(transitivity,[status(thm)],[293, 291])).
% 7.07/4.86 tff(295,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s19, c_busy)) | (~always3(s19)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(296,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s19)) | (~m_main_v_state(s19, c_busy))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[295, 294])).
% 7.07/4.86 tff(297,plain,
% 7.07/4.86 (~m_main_v_state(s19, c_busy)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[296, 72, 290])).
% 7.07/4.86 tff(298,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(299,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s18, s19)) | node2(s18, s19))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(300,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s18, s19)) | node2(s18, s19)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[299, 298])).
% 7.07/4.86 tff(301,plain,
% 7.07/4.86 (node2(s18, s19)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[300, 7, 285])).
% 7.07/4.86 tff(302,plain,
% 7.07/4.86 (((~![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(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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(303,plain,
% 7.07/4.86 ((~![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(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(304,plain,
% 7.07/4.86 ((~![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(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[303, 302])).
% 7.07/4.86 tff(305,plain,
% 7.07/4.86 ((~m_main_v_state(s18, c_ready)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[304, 60, 301])).
% 7.07/4.86 tff(306,plain,
% 7.07/4.86 (~m_main_v_state(s18, c_ready)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[305, 297, 274])).
% 7.07/4.86 tff(307,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(308,plain,
% 7.07/4.86 (((~m_main_v_state(s18, c_busy)) | (~always3(s18))) <=> ((~always3(s18)) | (~m_main_v_state(s18, c_busy)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(309,plain,
% 7.07/4.86 (((~![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))))),
% 7.07/4.86 inference(monotonicity,[status(thm)],[308])).
% 7.07/4.86 tff(310,plain,
% 7.07/4.86 (((~![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)))),
% 7.07/4.86 inference(transitivity,[status(thm)],[309, 307])).
% 7.07/4.86 tff(311,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s18, c_busy)) | (~always3(s18)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(312,plain,
% 7.07/4.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s18)) | (~m_main_v_state(s18, c_busy))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[311, 310])).
% 7.07/4.86 tff(313,plain,
% 7.07/4.86 (~m_main_v_state(s18, c_busy)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[312, 72, 278])).
% 7.07/4.86 tff(314,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(315,plain,
% 7.07/4.86 ((~![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))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(316,plain,
% 7.07/4.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[315, 314])).
% 7.07/4.86 tff(317,plain,
% 7.07/4.86 ($false),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[316, 89, 313, 306])).
% 7.07/4.86 tff(318,plain,(~node4(s18)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.86 tff(319,assumption,(~node4(s30)), introduced(assumption)).
% 7.07/4.86 tff(320,assumption,(~xuntil6(s33)), introduced(assumption)).
% 7.07/4.86 tff(321,assumption,(~xuntil6(s4)), introduced(assumption)).
% 7.07/4.86 tff(322,assumption,(~always3(s4)), introduced(assumption)).
% 7.07/4.86 tff(323,plain,
% 7.07/4.86 (succ(s3, s4) <=> succ(s3, s4)),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(324,axiom,(succ(s3, s4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound4')).
% 7.07/4.86 tff(325,plain,
% 7.07/4.86 (succ(s3, s4)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[324, 323])).
% 7.07/4.86 tff(326,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(327,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(328,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[327, 326])).
% 7.07/4.86 tff(329,plain,
% 7.07/4.86 (trans(s3, s4)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[328, 325, 39])).
% 7.07/4.86 tff(330,plain,
% 7.07/4.86 (((~![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))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(331,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s3, s4)) | (~always3(s3)) | always3(s4))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(332,plain,
% 7.07/4.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s3, s4)) | (~always3(s3)) | always3(s4)),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[331, 330])).
% 7.07/4.86 tff(333,plain,
% 7.07/4.86 ((~always3(s3)) | always3(s4)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[332, 112, 329])).
% 7.07/4.86 tff(334,plain,
% 7.07/4.86 (~always3(s3)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[333, 322])).
% 7.07/4.86 tff(335,plain,
% 7.07/4.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s3) | (~node4(s3)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s3) | (~node4(s3)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(336,plain,
% 7.07/4.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s3) | (~node4(s3)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(337,plain,
% 7.07/4.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s3) | (~node4(s3))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[336, 335])).
% 7.07/4.86 tff(338,plain,
% 7.07/4.86 (~node4(s3)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[337, 16, 334])).
% 7.07/4.86 tff(339,plain,
% 7.07/4.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s4) | (~node4(s4)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s4) | (~node4(s4)))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(340,plain,
% 7.07/4.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s4) | (~node4(s4)))),
% 7.07/4.86 inference(quant_inst,[status(thm)],[])).
% 7.07/4.86 tff(341,plain,
% 7.07/4.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s4) | (~node4(s4))),
% 7.07/4.86 inference(modus_ponens,[status(thm)],[340, 339])).
% 7.07/4.86 tff(342,plain,
% 7.07/4.86 (~node4(s4)),
% 7.07/4.86 inference(unit_resolution,[status(thm)],[341, 16, 322])).
% 7.07/4.86 tff(343,plain,
% 7.07/4.86 (^[X: $i] : refl((node4(X) | (~until5(X)) | xuntil6(X)) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 7.07/4.86 inference(bind,[status(th)],[])).
% 7.07/4.86 tff(344,plain,
% 7.07/4.86 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 7.07/4.86 inference(quant_intro,[status(thm)],[343])).
% 7.07/4.86 tff(345,plain,
% 7.07/4.86 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 7.07/4.86 inference(rewrite,[status(thm)],[])).
% 7.07/4.86 tff(346,plain,
% 7.07/4.86 (^[X: $i] : rewrite(((node4(X) | xuntil6(X)) | (~until5(X))) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 7.07/4.86 inference(bind,[status(th)],[])).
% 7.07/4.86 tff(347,plain,
% 7.07/4.86 (![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X))) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 7.07/4.86 inference(quant_intro,[status(thm)],[346])).
% 7.07/4.86 tff(348,axiom,(![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty6')).
% 7.07/4.87 tff(349,plain,
% 7.07/4.87 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[348, 347])).
% 7.07/4.87 tff(350,plain,
% 7.07/4.87 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[349, 345])).
% 7.07/4.87 tff(351,plain,(
% 7.07/4.87 ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 7.07/4.87 inference(skolemize,[status(sab)],[350])).
% 7.07/4.87 tff(352,plain,
% 7.07/4.87 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[351, 344])).
% 7.07/4.87 tff(353,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(354,plain,
% 7.07/4.87 ((node4(s4) | (~until5(s4)) | xuntil6(s4)) <=> (xuntil6(s4) | node4(s4) | (~until5(s4)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(355,plain,
% 7.07/4.87 (((~![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))))),
% 7.07/4.87 inference(monotonicity,[status(thm)],[354])).
% 7.07/4.87 tff(356,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(transitivity,[status(thm)],[355, 353])).
% 7.07/4.87 tff(357,plain,
% 7.07/4.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s4) | (~until5(s4)) | xuntil6(s4))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(358,plain,
% 7.07/4.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s4) | node4(s4) | (~until5(s4))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[357, 356])).
% 7.07/4.87 tff(359,plain,
% 7.07/4.87 (node4(s4) | (~until5(s4))),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[358, 352, 321])).
% 7.07/4.87 tff(360,plain,
% 7.07/4.87 (~until5(s4)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[359, 342])).
% 7.07/4.87 tff(361,plain,
% 7.07/4.87 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 7.07/4.87 inference(bind,[status(th)],[])).
% 7.07/4.87 tff(362,plain,
% 7.07/4.87 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 7.07/4.87 inference(quant_intro,[status(thm)],[361])).
% 7.07/4.87 tff(363,plain,
% 7.07/4.87 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(364,plain,
% 7.07/4.87 (^[Y: $i, X: $i] : rewrite(((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 7.07/4.87 inference(bind,[status(th)],[])).
% 7.07/4.87 tff(365,plain,
% 7.07/4.87 (![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 7.07/4.87 inference(quant_intro,[status(thm)],[364])).
% 7.07/4.87 tff(366,axiom,(![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty7')).
% 7.07/4.87 tff(367,plain,
% 7.07/4.87 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[366, 365])).
% 7.07/4.87 tff(368,plain,
% 7.07/4.87 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[367, 363])).
% 7.07/4.87 tff(369,plain,(
% 7.07/4.87 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 7.07/4.87 inference(skolemize,[status(sab)],[368])).
% 7.07/4.87 tff(370,plain,
% 7.07/4.87 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[369, 362])).
% 7.07/4.87 tff(371,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(372,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(373,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[372, 371])).
% 7.07/4.87 tff(374,plain,
% 7.07/4.87 ((~xuntil6(s3)) | until5(s4)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[373, 325, 370])).
% 7.07/4.87 tff(375,plain,
% 7.07/4.87 (~xuntil6(s3)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[374, 360])).
% 7.07/4.87 tff(376,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(377,plain,
% 7.07/4.87 ((node4(s3) | (~until5(s3)) | xuntil6(s3)) <=> (xuntil6(s3) | node4(s3) | (~until5(s3)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(378,plain,
% 7.07/4.87 (((~![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))))),
% 7.07/4.87 inference(monotonicity,[status(thm)],[377])).
% 7.07/4.87 tff(379,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(transitivity,[status(thm)],[378, 376])).
% 7.07/4.87 tff(380,plain,
% 7.07/4.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s3) | (~until5(s3)) | xuntil6(s3))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(381,plain,
% 7.07/4.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s3) | node4(s3) | (~until5(s3))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[380, 379])).
% 7.07/4.87 tff(382,plain,
% 7.07/4.87 (~until5(s3)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[381, 352, 375, 338])).
% 7.07/4.87 tff(383,plain,
% 7.07/4.87 (succ(s2, s3) <=> succ(s2, s3)),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(384,axiom,(succ(s2, s3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound3')).
% 7.07/4.87 tff(385,plain,
% 7.07/4.87 (succ(s2, s3)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[384, 383])).
% 7.07/4.87 tff(386,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(387,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(388,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[387, 386])).
% 7.07/4.87 tff(389,plain,
% 7.07/4.87 ((~xuntil6(s2)) | until5(s3)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[388, 385, 370])).
% 7.07/4.87 tff(390,plain,
% 7.07/4.87 (~xuntil6(s2)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[389, 382])).
% 7.07/4.87 tff(391,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(392,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(393,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[392, 391])).
% 7.07/4.87 tff(394,plain,
% 7.07/4.87 (trans(s2, s3)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[393, 385, 39])).
% 7.07/4.87 tff(395,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(396,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s2, s3)) | (~always3(s2)) | always3(s3))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(397,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s2, s3)) | (~always3(s2)) | always3(s3)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[396, 395])).
% 7.07/4.87 tff(398,plain,
% 7.07/4.87 ((~always3(s2)) | always3(s3)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[397, 112, 394])).
% 7.07/4.87 tff(399,plain,
% 7.07/4.87 (~always3(s2)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[398, 334])).
% 7.07/4.87 tff(400,plain,
% 7.07/4.87 (succ(s1, s2) <=> succ(s1, s2)),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(401,axiom,(succ(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound2')).
% 7.07/4.87 tff(402,plain,
% 7.07/4.87 (succ(s1, s2)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[401, 400])).
% 7.07/4.87 tff(403,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(404,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(405,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[404, 403])).
% 7.07/4.87 tff(406,plain,
% 7.07/4.87 (trans(s1, s2)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[405, 402, 39])).
% 7.07/4.87 tff(407,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(408,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s1, s2)) | (~always3(s1)) | always3(s2))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(409,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s1, s2)) | (~always3(s1)) | always3(s2)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[408, 407])).
% 7.07/4.87 tff(410,plain,
% 7.07/4.87 ((~always3(s1)) | always3(s2)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[409, 112, 406])).
% 7.07/4.87 tff(411,plain,
% 7.07/4.87 (~always3(s1)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[410, 399])).
% 7.07/4.87 tff(412,plain,
% 7.07/4.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(413,plain,
% 7.07/4.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(414,plain,
% 7.07/4.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[413, 412])).
% 7.07/4.87 tff(415,plain,
% 7.07/4.87 (~node4(s1)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[414, 16, 411])).
% 7.07/4.87 tff(416,plain,
% 7.07/4.87 (succ(s0, s1) <=> succ(s0, s1)),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(417,axiom,(succ(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound1')).
% 7.07/4.87 tff(418,plain,
% 7.07/4.87 (succ(s0, s1)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[417, 416])).
% 7.07/4.87 tff(419,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(420,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(421,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[420, 419])).
% 7.07/4.87 tff(422,plain,
% 7.07/4.87 (trans(s0, s1)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[421, 418, 39])).
% 7.07/4.87 tff(423,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(424,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s0, s1)) | (~always3(s0)) | always3(s1))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(425,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s0, s1)) | (~always3(s0)) | always3(s1)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[424, 423])).
% 7.07/4.87 tff(426,plain,
% 7.07/4.87 ((~always3(s0)) | always3(s1)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[425, 112, 422])).
% 7.07/4.87 tff(427,plain,
% 7.07/4.87 (~always3(s0)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[426, 411])).
% 7.07/4.87 tff(428,plain,
% 7.07/4.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(429,plain,
% 7.07/4.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(430,plain,
% 7.07/4.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[429, 428])).
% 7.07/4.87 tff(431,plain,
% 7.07/4.87 (~node4(s0)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[430, 16, 427])).
% 7.07/4.87 tff(432,plain,
% 7.07/4.87 (until5(s0) <=> until5(s0)),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(433,axiom,(until5(s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty13')).
% 7.07/4.87 tff(434,plain,
% 7.07/4.87 (until5(s0)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[433, 432])).
% 7.07/4.87 tff(435,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(436,plain,
% 7.07/4.87 ((node4(s0) | (~until5(s0)) | xuntil6(s0)) <=> (xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(437,plain,
% 7.07/4.87 (((~![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))))),
% 7.07/4.87 inference(monotonicity,[status(thm)],[436])).
% 7.07/4.87 tff(438,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(transitivity,[status(thm)],[437, 435])).
% 7.07/4.87 tff(439,plain,
% 7.07/4.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(440,plain,
% 7.07/4.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[439, 438])).
% 7.07/4.87 tff(441,plain,
% 7.07/4.87 (xuntil6(s0) | node4(s0)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[440, 352, 434])).
% 7.07/4.87 tff(442,plain,
% 7.07/4.87 (xuntil6(s0)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[441, 431])).
% 7.07/4.87 tff(443,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(444,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(445,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[444, 443])).
% 7.07/4.87 tff(446,plain,
% 7.07/4.87 ((~xuntil6(s0)) | until5(s1)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[445, 418, 370])).
% 7.07/4.87 tff(447,plain,
% 7.07/4.87 (until5(s1)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[446, 442])).
% 7.07/4.87 tff(448,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(449,plain,
% 7.07/4.87 ((node4(s1) | (~until5(s1)) | xuntil6(s1)) <=> (xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(450,plain,
% 7.07/4.87 (((~![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))))),
% 7.07/4.87 inference(monotonicity,[status(thm)],[449])).
% 7.07/4.87 tff(451,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(transitivity,[status(thm)],[450, 448])).
% 7.07/4.87 tff(452,plain,
% 7.07/4.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(453,plain,
% 7.07/4.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[452, 451])).
% 7.07/4.87 tff(454,plain,
% 7.07/4.87 (xuntil6(s1)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[453, 352, 447, 415])).
% 7.07/4.87 tff(455,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(456,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(457,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[456, 455])).
% 7.07/4.87 tff(458,plain,
% 7.07/4.87 ((~xuntil6(s1)) | until5(s2)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[457, 402, 370])).
% 7.07/4.87 tff(459,plain,
% 7.07/4.87 (until5(s2)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[458, 454])).
% 7.07/4.87 tff(460,plain,
% 7.07/4.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s2) | (~node4(s2)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(461,plain,
% 7.07/4.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(462,plain,
% 7.07/4.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s2) | (~node4(s2))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[461, 460])).
% 7.07/4.87 tff(463,plain,
% 7.07/4.87 (~node4(s2)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[462, 16, 399])).
% 7.07/4.87 tff(464,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(465,plain,
% 7.07/4.87 ((node4(s2) | (~until5(s2)) | xuntil6(s2)) <=> (xuntil6(s2) | node4(s2) | (~until5(s2)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(466,plain,
% 7.07/4.87 (((~![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))))),
% 7.07/4.87 inference(monotonicity,[status(thm)],[465])).
% 7.07/4.87 tff(467,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(transitivity,[status(thm)],[466, 464])).
% 7.07/4.87 tff(468,plain,
% 7.07/4.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s2) | (~until5(s2)) | xuntil6(s2))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(469,plain,
% 7.07/4.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s2) | node4(s2) | (~until5(s2))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[468, 467])).
% 7.07/4.87 tff(470,plain,
% 7.07/4.87 (xuntil6(s2) | (~until5(s2))),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[469, 352, 463])).
% 7.07/4.87 tff(471,plain,
% 7.07/4.87 ($false),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[470, 459, 390])).
% 7.07/4.87 tff(472,plain,(always3(s4) | xuntil6(s4)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.87 tff(473,plain,
% 7.07/4.87 (always3(s4)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[472, 321])).
% 7.07/4.87 tff(474,plain,
% 7.07/4.87 (succ(s4, s5) <=> succ(s4, s5)),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(475,axiom,(succ(s4, s5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound5')).
% 7.07/4.87 tff(476,plain,
% 7.07/4.87 (succ(s4, s5)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[475, 474])).
% 7.07/4.87 tff(477,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(478,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(479,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[478, 477])).
% 7.07/4.87 tff(480,plain,
% 7.07/4.87 (trans(s4, s5)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[479, 476, 39])).
% 7.07/4.87 tff(481,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(482,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s4, s5)) | (~always3(s4)) | always3(s5))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(483,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s4, s5)) | (~always3(s4)) | always3(s5)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[482, 481])).
% 7.07/4.87 tff(484,plain,
% 7.07/4.87 ((~always3(s4)) | always3(s5)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[483, 112, 480])).
% 7.07/4.87 tff(485,plain,
% 7.07/4.87 (always3(s5)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[484, 473])).
% 7.07/4.87 tff(486,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(487,plain,
% 7.07/4.87 (((~m_main_v_state(s5, c_busy)) | (~always3(s5))) <=> ((~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(488,plain,
% 7.07/4.87 (((~![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))))),
% 7.07/4.87 inference(monotonicity,[status(thm)],[487])).
% 7.07/4.87 tff(489,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(transitivity,[status(thm)],[488, 486])).
% 7.07/4.87 tff(490,plain,
% 7.07/4.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(491,plain,
% 7.07/4.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[490, 489])).
% 7.07/4.87 tff(492,plain,
% 7.07/4.87 (~m_main_v_state(s5, c_busy)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[491, 72, 485])).
% 7.07/4.87 tff(493,assumption,(until5(s4)), introduced(assumption)).
% 7.07/4.87 tff(494,plain,
% 7.07/4.87 (xuntil6(s4) | node4(s4)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[358, 352, 493])).
% 7.07/4.87 tff(495,plain,
% 7.07/4.87 (node4(s4)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[494, 321])).
% 7.07/4.87 tff(496,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(497,plain,
% 7.07/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s4) | (~node4(s4)))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(498,plain,
% 7.07/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s4) | (~node4(s4))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[497, 496])).
% 7.07/4.87 tff(499,plain,
% 7.07/4.87 (m_main_v_request(s4)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[498, 28, 495])).
% 7.07/4.87 tff(500,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(501,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s4, s5)) | node2(s4, s5))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(502,plain,
% 7.07/4.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s4, s5)) | node2(s4, s5)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[501, 500])).
% 7.07/4.87 tff(503,plain,
% 7.07/4.87 (node2(s4, s5)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[502, 7, 480])).
% 7.07/4.87 tff(504,plain,
% 7.07/4.87 (((~![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(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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(505,plain,
% 7.07/4.87 ((~![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(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4)))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(506,plain,
% 7.07/4.87 ((~![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(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[505, 504])).
% 7.07/4.87 tff(507,plain,
% 7.07/4.87 ((~m_main_v_state(s4, c_ready)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[506, 60, 503])).
% 7.07/4.87 tff(508,plain,
% 7.07/4.87 (~m_main_v_state(s4, c_ready)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[507, 499, 492])).
% 7.07/4.87 tff(509,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(510,plain,
% 7.07/4.87 (((~m_main_v_state(s4, c_busy)) | (~always3(s4))) <=> ((~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(511,plain,
% 7.07/4.87 (((~![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))))),
% 7.07/4.87 inference(monotonicity,[status(thm)],[510])).
% 7.07/4.87 tff(512,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(transitivity,[status(thm)],[511, 509])).
% 7.07/4.87 tff(513,plain,
% 7.07/4.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(514,plain,
% 7.07/4.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[513, 512])).
% 7.07/4.87 tff(515,plain,
% 7.07/4.87 (~m_main_v_state(s4, c_busy)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[514, 72, 473])).
% 7.07/4.87 tff(516,plain,
% 7.07/4.87 (((~![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))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(517,plain,
% 7.07/4.87 ((~![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))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(518,plain,
% 7.07/4.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready)),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[517, 516])).
% 7.07/4.87 tff(519,plain,
% 7.07/4.87 ($false),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[518, 89, 515, 508])).
% 7.07/4.87 tff(520,plain,(xuntil6(s4) | (~until5(s4))), inference(lemma,lemma(discharge,[]))).
% 7.07/4.87 tff(521,plain,
% 7.07/4.87 (~until5(s4)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[520, 321])).
% 7.07/4.87 tff(522,plain,
% 7.07/4.87 (~xuntil6(s3)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[374, 521])).
% 7.07/4.87 tff(523,assumption,(node4(s1)), introduced(assumption)).
% 7.07/4.87 tff(524,plain,
% 7.07/4.87 (always3(s1)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[414, 16, 523])).
% 7.07/4.87 tff(525,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(526,plain,
% 7.07/4.87 (((~m_main_v_state(s1, c_busy)) | (~always3(s1))) <=> ((~always3(s1)) | (~m_main_v_state(s1, c_busy)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(527,plain,
% 7.07/4.87 (((~![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))))),
% 7.07/4.87 inference(monotonicity,[status(thm)],[526])).
% 7.07/4.87 tff(528,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(transitivity,[status(thm)],[527, 525])).
% 7.07/4.87 tff(529,plain,
% 7.07/4.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s1, c_busy)) | (~always3(s1)))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(530,plain,
% 7.07/4.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s1)) | (~m_main_v_state(s1, c_busy))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[529, 528])).
% 7.07/4.87 tff(531,plain,
% 7.07/4.87 (~m_main_v_state(s1, c_busy)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[530, 72, 524])).
% 7.07/4.87 tff(532,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(533,plain,
% 7.07/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s1) | (~node4(s1)))),
% 7.07/4.87 inference(quant_inst,[status(thm)],[])).
% 7.07/4.87 tff(534,plain,
% 7.07/4.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s1) | (~node4(s1))),
% 7.07/4.87 inference(modus_ponens,[status(thm)],[533, 532])).
% 7.07/4.87 tff(535,plain,
% 7.07/4.87 (m_main_v_request(s1)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[534, 28, 523])).
% 7.07/4.87 tff(536,plain,
% 7.07/4.87 (always3(s2)),
% 7.07/4.87 inference(unit_resolution,[status(thm)],[410, 524])).
% 7.07/4.87 tff(537,plain,
% 7.07/4.87 (((~![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)))),
% 7.07/4.87 inference(rewrite,[status(thm)],[])).
% 7.07/4.87 tff(538,plain,
% 7.07/4.87 (((~m_main_v_state(s2, c_busy)) | (~always3(s2))) <=> ((~always3(s2)) | (~m_main_v_state(s2, c_busy)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(539,plain,
% 7.07/4.88 (((~![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))))),
% 7.07/4.88 inference(monotonicity,[status(thm)],[538])).
% 7.07/4.88 tff(540,plain,
% 7.07/4.88 (((~![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)))),
% 7.07/4.88 inference(transitivity,[status(thm)],[539, 537])).
% 7.07/4.88 tff(541,plain,
% 7.07/4.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s2, c_busy)) | (~always3(s2)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(542,plain,
% 7.07/4.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s2)) | (~m_main_v_state(s2, c_busy))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[541, 540])).
% 7.07/4.88 tff(543,plain,
% 7.07/4.88 (~m_main_v_state(s2, c_busy)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[542, 72, 536])).
% 7.07/4.88 tff(544,plain,
% 7.07/4.88 (((~![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))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(545,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s1, s2)) | node2(s1, s2))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(546,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s1, s2)) | node2(s1, s2)),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[545, 544])).
% 7.07/4.88 tff(547,plain,
% 7.07/4.88 (node2(s1, s2)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[546, 7, 406])).
% 7.07/4.88 tff(548,plain,
% 7.07/4.88 (((~![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(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)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(549,plain,
% 7.07/4.88 ((~![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(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(550,plain,
% 7.07/4.88 ((~![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(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[549, 548])).
% 7.07/4.88 tff(551,plain,
% 7.07/4.88 ((~m_main_v_state(s1, c_ready)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[550, 60, 547])).
% 7.07/4.88 tff(552,plain,
% 7.07/4.88 (~m_main_v_state(s1, c_ready)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[551, 543, 535])).
% 7.07/4.88 tff(553,plain,
% 7.07/4.88 (((~![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))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(554,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s0, s1)) | node2(s0, s1))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(555,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s0, s1)) | node2(s0, s1)),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[554, 553])).
% 7.07/4.88 tff(556,plain,
% 7.07/4.88 (node2(s0, s1)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[555, 7, 422])).
% 7.07/4.88 tff(557,plain,
% 7.07/4.88 (^[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)))),
% 7.07/4.88 inference(bind,[status(th)],[])).
% 7.07/4.88 tff(558,plain,
% 7.07/4.88 (![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))),
% 7.07/4.88 inference(quant_intro,[status(thm)],[557])).
% 7.07/4.88 tff(559,plain,
% 7.07/4.88 (![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))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(560,plain,
% 7.07/4.88 (^[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))))),
% 7.07/4.88 inference(bind,[status(th)],[])).
% 7.07/4.88 tff(561,plain,
% 7.07/4.88 (![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))),
% 7.07/4.88 inference(quant_intro,[status(thm)],[560])).
% 7.07/4.88 tff(562,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')).
% 7.07/4.88 tff(563,plain,
% 7.07/4.88 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[562, 561])).
% 7.07/4.88 tff(564,plain,
% 7.07/4.88 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[563, 559])).
% 7.07/4.88 tff(565,plain,(
% 7.07/4.88 ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 7.07/4.88 inference(skolemize,[status(sab)],[564])).
% 7.07/4.88 tff(566,plain,
% 7.07/4.88 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[565, 558])).
% 7.07/4.88 tff(567,plain,
% 7.07/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s0, s1)) | m_main_v_state(s1, c_busy) | node1(s0) | m_main_v_state(s1, 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(s0, s1)) | m_main_v_state(s1, c_busy) | node1(s0) | m_main_v_state(s1, c_ready))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(568,plain,
% 7.07/4.88 ((node1(s0) | m_main_v_state(s1, c_ready) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy)) <=> ((~node2(s0, s1)) | m_main_v_state(s1, c_busy) | node1(s0) | m_main_v_state(s1, c_ready))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(569,plain,
% 7.07/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s0) | m_main_v_state(s1, c_ready) | (~node2(s0, s1)) | m_main_v_state(s1, 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(s0, s1)) | m_main_v_state(s1, c_busy) | node1(s0) | m_main_v_state(s1, c_ready)))),
% 7.07/4.88 inference(monotonicity,[status(thm)],[568])).
% 7.07/4.88 tff(570,plain,
% 7.07/4.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s0) | m_main_v_state(s1, c_ready) | (~node2(s0, s1)) | m_main_v_state(s1, 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(s0, s1)) | m_main_v_state(s1, c_busy) | node1(s0) | m_main_v_state(s1, c_ready))),
% 7.07/4.88 inference(transitivity,[status(thm)],[569, 567])).
% 7.07/4.88 tff(571,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s0) | m_main_v_state(s1, c_ready) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(572,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | node1(s0) | m_main_v_state(s1, c_ready)),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[571, 570])).
% 7.07/4.88 tff(573,plain,
% 7.07/4.88 (m_main_v_state(s1, c_busy) | node1(s0) | m_main_v_state(s1, c_ready)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[572, 566, 556])).
% 7.07/4.88 tff(574,plain,
% 7.07/4.88 (node1(s0)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[573, 552, 531])).
% 7.07/4.88 tff(575,plain,
% 7.07/4.88 (m_main_v_state(s0, c_ready) <=> m_main_v_state(s0, c_ready)),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(576,axiom,(m_main_v_state(s0, c_ready)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_3')).
% 7.07/4.88 tff(577,plain,
% 7.07/4.88 (m_main_v_state(s0, c_ready)),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[576, 575])).
% 7.07/4.88 tff(578,plain,
% 7.07/4.88 (((~![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(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)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(579,plain,
% 7.07/4.88 ((~![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(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(580,plain,
% 7.07/4.88 ((~![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(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[579, 578])).
% 7.07/4.88 tff(581,plain,
% 7.07/4.88 (m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[580, 577, 60, 556])).
% 7.07/4.88 tff(582,plain,
% 7.07/4.88 (~m_main_v_request(s0)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[581, 531])).
% 7.07/4.88 tff(583,plain,
% 7.07/4.88 (^[X: $i] : refl((m_main_v_request(X) | (~node1(X))) <=> (m_main_v_request(X) | (~node1(X))))),
% 7.07/4.88 inference(bind,[status(th)],[])).
% 7.07/4.88 tff(584,plain,
% 7.07/4.88 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 7.07/4.88 inference(quant_intro,[status(thm)],[583])).
% 7.07/4.88 tff(585,plain,
% 7.07/4.88 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(586,axiom,(![X: $i] : (m_main_v_request(X) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_5')).
% 7.07/4.88 tff(587,plain,
% 7.07/4.88 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[586, 585])).
% 7.07/4.88 tff(588,plain,(
% 7.07/4.88 ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 7.07/4.88 inference(skolemize,[status(sab)],[587])).
% 7.07/4.88 tff(589,plain,
% 7.07/4.88 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[588, 584])).
% 7.07/4.88 tff(590,plain,
% 7.07/4.88 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s0) | (~node1(s0)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s0) | (~node1(s0)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(591,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s0) | (~node1(s0)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(592,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s0) | (~node1(s0))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[591, 590])).
% 7.07/4.88 tff(593,plain,
% 7.07/4.88 ($false),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[592, 589, 582, 574])).
% 7.07/4.88 tff(594,plain,(~node4(s1)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.88 tff(595,assumption,(node4(s0)), introduced(assumption)).
% 7.07/4.88 tff(596,plain,
% 7.07/4.88 (((~![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)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(597,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s0) | (~node4(s0)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(598,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s0) | (~node4(s0))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[597, 596])).
% 7.07/4.88 tff(599,plain,
% 7.07/4.88 (m_main_v_request(s0)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[598, 28, 595])).
% 7.07/4.88 tff(600,plain,
% 7.07/4.88 (m_main_v_state(s1, c_busy)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[581, 599])).
% 7.07/4.88 tff(601,plain,
% 7.07/4.88 (always3(s0)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[430, 16, 595])).
% 7.07/4.88 tff(602,plain,
% 7.07/4.88 (always3(s1)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[426, 601])).
% 7.07/4.88 tff(603,plain,
% 7.07/4.88 ($false),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[530, 72, 602, 600])).
% 7.07/4.88 tff(604,plain,(~node4(s0)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.88 tff(605,plain,
% 7.07/4.88 (xuntil6(s0)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[441, 604])).
% 7.07/4.88 tff(606,plain,
% 7.07/4.88 (until5(s1)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[446, 605])).
% 7.07/4.88 tff(607,plain,
% 7.07/4.88 (xuntil6(s1) | node4(s1)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[453, 352, 606])).
% 7.07/4.88 tff(608,plain,
% 7.07/4.88 (xuntil6(s1)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[607, 594])).
% 7.07/4.88 tff(609,plain,
% 7.07/4.88 (until5(s2)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[458, 608])).
% 7.07/4.88 tff(610,assumption,(node4(s2)), introduced(assumption)).
% 7.07/4.88 tff(611,plain,
% 7.07/4.88 (((~![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)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(612,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s2) | (~node4(s2)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(613,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s2) | (~node4(s2))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[612, 611])).
% 7.07/4.88 tff(614,plain,
% 7.07/4.88 (m_main_v_request(s2)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[613, 28, 610])).
% 7.07/4.88 tff(615,plain,
% 7.07/4.88 (always3(s2)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[462, 16, 610])).
% 7.07/4.88 tff(616,plain,
% 7.07/4.88 (always3(s3)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[398, 615])).
% 7.07/4.88 tff(617,plain,
% 7.07/4.88 (((~![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)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(618,plain,
% 7.07/4.88 (((~m_main_v_state(s3, c_busy)) | (~always3(s3))) <=> ((~always3(s3)) | (~m_main_v_state(s3, c_busy)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(619,plain,
% 7.07/4.88 (((~![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))))),
% 7.07/4.88 inference(monotonicity,[status(thm)],[618])).
% 7.07/4.88 tff(620,plain,
% 7.07/4.88 (((~![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)))),
% 7.07/4.88 inference(transitivity,[status(thm)],[619, 617])).
% 7.07/4.88 tff(621,plain,
% 7.07/4.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s3, c_busy)) | (~always3(s3)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(622,plain,
% 7.07/4.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s3)) | (~m_main_v_state(s3, c_busy))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[621, 620])).
% 7.07/4.88 tff(623,plain,
% 7.07/4.88 (~m_main_v_state(s3, c_busy)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[622, 72, 616])).
% 7.07/4.88 tff(624,plain,
% 7.07/4.88 (((~![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))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(625,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s2, s3)) | node2(s2, s3))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(626,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s2, s3)) | node2(s2, s3)),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[625, 624])).
% 7.07/4.88 tff(627,plain,
% 7.07/4.88 (node2(s2, s3)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[626, 7, 394])).
% 7.07/4.88 tff(628,plain,
% 7.07/4.88 (((~![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(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)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(629,plain,
% 7.07/4.88 ((~![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(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(630,plain,
% 7.07/4.88 ((~![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(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[629, 628])).
% 7.07/4.88 tff(631,plain,
% 7.07/4.88 ((~m_main_v_state(s2, c_ready)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[630, 60, 627])).
% 7.07/4.88 tff(632,plain,
% 7.07/4.88 (~m_main_v_state(s2, c_ready)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[631, 623, 614])).
% 7.07/4.88 tff(633,plain,
% 7.07/4.88 (~m_main_v_state(s2, c_busy)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[542, 72, 615])).
% 7.07/4.88 tff(634,plain,
% 7.07/4.88 (((~![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))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(635,plain,
% 7.07/4.88 ((~![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))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(636,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s2, c_busy) | m_main_v_state(s2, c_ready)),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[635, 634])).
% 7.07/4.88 tff(637,plain,
% 7.07/4.88 ($false),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[636, 89, 633, 632])).
% 7.07/4.88 tff(638,plain,(~node4(s2)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.88 tff(639,plain,
% 7.07/4.88 (xuntil6(s2) | (~until5(s2))),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[469, 352, 638])).
% 7.07/4.88 tff(640,plain,
% 7.07/4.88 (xuntil6(s2)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[639, 609])).
% 7.07/4.88 tff(641,plain,
% 7.07/4.88 (until5(s3)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[389, 640])).
% 7.07/4.88 tff(642,plain,
% 7.07/4.88 (xuntil6(s3) | node4(s3)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[381, 352, 641])).
% 7.07/4.88 tff(643,plain,
% 7.07/4.88 (node4(s3)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[642, 522])).
% 7.07/4.88 tff(644,assumption,(~m_main_v_state(s4, c_busy)), introduced(assumption)).
% 7.07/4.88 tff(645,assumption,(node4(s3)), introduced(assumption)).
% 7.07/4.88 tff(646,plain,
% 7.07/4.88 (((~![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)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(647,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s3) | (~node4(s3)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(648,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s3) | (~node4(s3))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[647, 646])).
% 7.07/4.88 tff(649,plain,
% 7.07/4.88 (m_main_v_request(s3)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[648, 28, 645])).
% 7.07/4.88 tff(650,plain,
% 7.07/4.88 (((~![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))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(651,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s3, s4)) | node2(s3, s4))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(652,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s3, s4)) | node2(s3, s4)),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[651, 650])).
% 7.07/4.88 tff(653,plain,
% 7.07/4.88 (node2(s3, s4)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[652, 7, 329])).
% 7.07/4.88 tff(654,plain,
% 7.07/4.88 (((~![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(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)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(655,plain,
% 7.07/4.88 ((~![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(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(656,plain,
% 7.07/4.88 ((~![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(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[655, 654])).
% 7.07/4.88 tff(657,plain,
% 7.07/4.88 ((~m_main_v_state(s3, c_ready)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[656, 60, 653])).
% 7.07/4.88 tff(658,plain,
% 7.07/4.88 (~m_main_v_state(s3, c_ready)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[657, 649, 644])).
% 7.07/4.88 tff(659,plain,
% 7.07/4.88 (always3(s3)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[337, 16, 645])).
% 7.07/4.88 tff(660,plain,
% 7.07/4.88 (~m_main_v_state(s3, c_busy)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[622, 72, 659])).
% 7.07/4.88 tff(661,plain,
% 7.07/4.88 (((~![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))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(662,plain,
% 7.07/4.88 ((~![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))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(663,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready)),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[662, 661])).
% 7.07/4.88 tff(664,plain,
% 7.07/4.88 ($false),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[663, 89, 660, 658])).
% 7.07/4.88 tff(665,plain,((~node4(s3)) | m_main_v_state(s4, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.88 tff(666,plain,
% 7.07/4.88 (m_main_v_state(s4, c_busy)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[665, 643])).
% 7.07/4.88 tff(667,plain,
% 7.07/4.88 ($false),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[514, 72, 473, 666])).
% 7.07/4.88 tff(668,plain,(xuntil6(s4)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.88 tff(669,plain,
% 7.07/4.88 (((~![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))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(670,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(671,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5)),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[670, 669])).
% 7.07/4.88 tff(672,plain,
% 7.07/4.88 ((~xuntil6(s4)) | until5(s5)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[671, 476, 370])).
% 7.07/4.88 tff(673,plain,
% 7.07/4.88 (until5(s5)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[672, 668])).
% 7.07/4.88 tff(674,assumption,(node4(s5)), introduced(assumption)).
% 7.07/4.88 tff(675,plain,
% 7.07/4.88 (((~![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)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(676,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s5) | (~node4(s5)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(677,plain,
% 7.07/4.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s5) | (~node4(s5))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[676, 675])).
% 7.07/4.88 tff(678,plain,
% 7.07/4.88 (m_main_v_request(s5)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[677, 28, 674])).
% 7.07/4.88 tff(679,plain,
% 7.07/4.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s5) | (~node4(s5)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s5) | (~node4(s5)))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(680,plain,
% 7.07/4.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s5) | (~node4(s5)))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(681,plain,
% 7.07/4.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s5) | (~node4(s5))),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[680, 679])).
% 7.07/4.88 tff(682,plain,
% 7.07/4.88 (always3(s5)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[681, 16, 674])).
% 7.07/4.88 tff(683,plain,
% 7.07/4.88 (succ(s5, s6) <=> succ(s5, s6)),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(684,axiom,(succ(s5, s6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound6')).
% 7.07/4.88 tff(685,plain,
% 7.07/4.88 (succ(s5, s6)),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[684, 683])).
% 7.07/4.88 tff(686,plain,
% 7.07/4.88 (((~![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))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(687,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 7.07/4.88 inference(quant_inst,[status(thm)],[])).
% 7.07/4.88 tff(688,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 7.07/4.88 inference(modus_ponens,[status(thm)],[687, 686])).
% 7.07/4.88 tff(689,plain,
% 7.07/4.88 (trans(s5, s6)),
% 7.07/4.88 inference(unit_resolution,[status(thm)],[688, 685, 39])).
% 7.07/4.88 tff(690,plain,
% 7.07/4.88 (((~![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))),
% 7.07/4.88 inference(rewrite,[status(thm)],[])).
% 7.07/4.88 tff(691,plain,
% 7.07/4.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s5, s6)) | (~always3(s5)) | always3(s6))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(692,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s5, s6)) | (~always3(s5)) | always3(s6)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[691, 690])).
% 7.07/4.89 tff(693,plain,
% 7.07/4.89 ((~always3(s5)) | always3(s6)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[692, 112, 689])).
% 7.07/4.89 tff(694,plain,
% 7.07/4.89 (always3(s6)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[693, 682])).
% 7.07/4.89 tff(695,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(696,plain,
% 7.07/4.89 (((~m_main_v_state(s6, c_busy)) | (~always3(s6))) <=> ((~always3(s6)) | (~m_main_v_state(s6, c_busy)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(697,plain,
% 7.07/4.89 (((~![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))))),
% 7.07/4.89 inference(monotonicity,[status(thm)],[696])).
% 7.07/4.89 tff(698,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(transitivity,[status(thm)],[697, 695])).
% 7.07/4.89 tff(699,plain,
% 7.07/4.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s6, c_busy)) | (~always3(s6)))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(700,plain,
% 7.07/4.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s6)) | (~m_main_v_state(s6, c_busy))),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[699, 698])).
% 7.07/4.89 tff(701,plain,
% 7.07/4.89 (~m_main_v_state(s6, c_busy)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[700, 72, 694])).
% 7.07/4.89 tff(702,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(703,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s5, s6)) | node2(s5, s6))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(704,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s5, s6)) | node2(s5, s6)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[703, 702])).
% 7.07/4.89 tff(705,plain,
% 7.07/4.89 (node2(s5, s6)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[704, 7, 689])).
% 7.07/4.89 tff(706,plain,
% 7.07/4.89 (((~![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(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)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(707,plain,
% 7.07/4.89 ((~![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(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(708,plain,
% 7.07/4.89 ((~![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(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[707, 706])).
% 7.07/4.89 tff(709,plain,
% 7.07/4.89 ((~m_main_v_state(s5, c_ready)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[708, 60, 705])).
% 7.07/4.89 tff(710,plain,
% 7.07/4.89 (~m_main_v_state(s5, c_ready)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[709, 701, 678])).
% 7.07/4.89 tff(711,plain,
% 7.07/4.89 (~m_main_v_state(s5, c_busy)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[491, 72, 682])).
% 7.07/4.89 tff(712,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(713,plain,
% 7.07/4.89 ((~![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))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(714,plain,
% 7.07/4.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[713, 712])).
% 7.07/4.89 tff(715,plain,
% 7.07/4.89 ($false),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[714, 89, 711, 710])).
% 7.07/4.89 tff(716,plain,(~node4(s5)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.89 tff(717,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(718,plain,
% 7.07/4.89 ((node4(s5) | (~until5(s5)) | xuntil6(s5)) <=> (xuntil6(s5) | node4(s5) | (~until5(s5)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(719,plain,
% 7.07/4.89 (((~![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))))),
% 7.07/4.89 inference(monotonicity,[status(thm)],[718])).
% 7.07/4.89 tff(720,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(transitivity,[status(thm)],[719, 717])).
% 7.07/4.89 tff(721,plain,
% 7.07/4.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s5) | (~until5(s5)) | xuntil6(s5))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(722,plain,
% 7.07/4.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s5) | node4(s5) | (~until5(s5))),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[721, 720])).
% 7.07/4.89 tff(723,plain,
% 7.07/4.89 (xuntil6(s5) | (~until5(s5))),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[722, 352, 716])).
% 7.07/4.89 tff(724,plain,
% 7.07/4.89 (xuntil6(s5)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[723, 673])).
% 7.07/4.89 tff(725,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(726,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(727,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[726, 725])).
% 7.07/4.89 tff(728,plain,
% 7.07/4.89 ((~xuntil6(s5)) | until5(s6)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[727, 685, 370])).
% 7.07/4.89 tff(729,plain,
% 7.07/4.89 (until5(s6)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[728, 724])).
% 7.07/4.89 tff(730,assumption,(until5(s6)), introduced(assumption)).
% 7.07/4.89 tff(731,assumption,(~xuntil6(s9)), introduced(assumption)).
% 7.07/4.89 tff(732,assumption,(~always3(s9)), introduced(assumption)).
% 7.07/4.89 tff(733,plain,
% 7.07/4.89 (succ(s8, s9) <=> succ(s8, s9)),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(734,axiom,(succ(s8, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound9')).
% 7.07/4.89 tff(735,plain,
% 7.07/4.89 (succ(s8, s9)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[734, 733])).
% 7.07/4.89 tff(736,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(737,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(738,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[737, 736])).
% 7.07/4.89 tff(739,plain,
% 7.07/4.89 (trans(s8, s9)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[738, 735, 39])).
% 7.07/4.89 tff(740,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(741,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s8, s9)) | (~always3(s8)) | always3(s9))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(742,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s8, s9)) | (~always3(s8)) | always3(s9)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[741, 740])).
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% 7.07/4.89 inference(unit_resolution,[status(thm)],[742, 112, 739])).
% 7.07/4.89 tff(744,plain,
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% 7.07/4.89 inference(unit_resolution,[status(thm)],[743, 732])).
% 7.07/4.89 tff(745,plain,
% 7.07/4.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s8) | (~node4(s8)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s8) | (~node4(s8)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
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% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(747,plain,
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% 7.07/4.89 inference(modus_ponens,[status(thm)],[746, 745])).
% 7.07/4.89 tff(748,plain,
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% 7.07/4.89 inference(unit_resolution,[status(thm)],[747, 16, 744])).
% 7.07/4.89 tff(749,plain,
% 7.07/4.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s9) | (~node4(s9)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(750,plain,
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% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(751,plain,
% 7.07/4.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9))),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[750, 749])).
% 7.07/4.89 tff(752,plain,
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% 7.07/4.89 inference(unit_resolution,[status(thm)],[751, 16, 732])).
% 7.07/4.89 tff(753,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(754,plain,
% 7.07/4.89 ((node4(s9) | (~until5(s9)) | xuntil6(s9)) <=> (xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(755,plain,
% 7.07/4.89 (((~![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))))),
% 7.07/4.89 inference(monotonicity,[status(thm)],[754])).
% 7.07/4.89 tff(756,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(transitivity,[status(thm)],[755, 753])).
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% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(758,plain,
% 7.07/4.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s9) | node4(s9) | (~until5(s9))),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[757, 756])).
% 7.07/4.89 tff(759,plain,
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% 7.07/4.89 inference(unit_resolution,[status(thm)],[758, 352, 731])).
% 7.07/4.89 tff(760,plain,
% 7.07/4.89 (~until5(s9)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[759, 752])).
% 7.07/4.89 tff(761,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(762,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(763,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[762, 761])).
% 7.07/4.89 tff(764,plain,
% 7.07/4.89 ((~xuntil6(s8)) | until5(s9)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[763, 735, 370])).
% 7.07/4.89 tff(765,plain,
% 7.07/4.89 (~xuntil6(s8)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[764, 760])).
% 7.07/4.89 tff(766,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(767,plain,
% 7.07/4.89 ((node4(s8) | (~until5(s8)) | xuntil6(s8)) <=> (xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(768,plain,
% 7.07/4.89 (((~![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))))),
% 7.07/4.89 inference(monotonicity,[status(thm)],[767])).
% 7.07/4.89 tff(769,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(transitivity,[status(thm)],[768, 766])).
% 7.07/4.89 tff(770,plain,
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% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(771,plain,
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% 7.07/4.89 inference(modus_ponens,[status(thm)],[770, 769])).
% 7.07/4.89 tff(772,plain,
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% 7.07/4.89 inference(unit_resolution,[status(thm)],[771, 352, 765, 748])).
% 7.07/4.89 tff(773,plain,
% 7.07/4.89 (succ(s7, s8) <=> succ(s7, s8)),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(774,axiom,(succ(s7, s8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound8')).
% 7.07/4.89 tff(775,plain,
% 7.07/4.89 (succ(s7, s8)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[774, 773])).
% 7.07/4.89 tff(776,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(777,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(778,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[777, 776])).
% 7.07/4.89 tff(779,plain,
% 7.07/4.89 ((~xuntil6(s7)) | until5(s8)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[778, 775, 370])).
% 7.07/4.89 tff(780,plain,
% 7.07/4.89 (~xuntil6(s7)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[779, 772])).
% 7.07/4.89 tff(781,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(782,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(783,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[782, 781])).
% 7.07/4.89 tff(784,plain,
% 7.07/4.89 (trans(s7, s8)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[783, 775, 39])).
% 7.07/4.89 tff(785,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(786,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s7, s8)) | (~always3(s7)) | always3(s8))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(787,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s7, s8)) | (~always3(s7)) | always3(s8)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[786, 785])).
% 7.07/4.89 tff(788,plain,
% 7.07/4.89 ((~always3(s7)) | always3(s8)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[787, 112, 784])).
% 7.07/4.89 tff(789,plain,
% 7.07/4.89 (~always3(s7)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[788, 744])).
% 7.07/4.89 tff(790,plain,
% 7.07/4.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s7) | (~node4(s7)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(791,plain,
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% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(792,plain,
% 7.07/4.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7))),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[791, 790])).
% 7.07/4.89 tff(793,plain,
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% 7.07/4.89 inference(unit_resolution,[status(thm)],[792, 16, 789])).
% 7.07/4.89 tff(794,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(795,plain,
% 7.07/4.89 ((node4(s7) | (~until5(s7)) | xuntil6(s7)) <=> (xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(796,plain,
% 7.07/4.89 (((~![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))))),
% 7.07/4.89 inference(monotonicity,[status(thm)],[795])).
% 7.07/4.89 tff(797,plain,
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% 7.07/4.89 inference(transitivity,[status(thm)],[796, 794])).
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% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(799,plain,
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% 7.07/4.89 inference(modus_ponens,[status(thm)],[798, 797])).
% 7.07/4.89 tff(800,plain,
% 7.07/4.89 (xuntil6(s7) | (~until5(s7))),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[799, 352, 793])).
% 7.07/4.89 tff(801,plain,
% 7.07/4.89 (~until5(s7)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[800, 780])).
% 7.07/4.89 tff(802,plain,
% 7.07/4.89 (succ(s6, s7) <=> succ(s6, s7)),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(803,axiom,(succ(s6, s7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound7')).
% 7.07/4.89 tff(804,plain,
% 7.07/4.89 (succ(s6, s7)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[803, 802])).
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% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(806,plain,
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% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(807,plain,
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% 7.07/4.89 inference(modus_ponens,[status(thm)],[806, 805])).
% 7.07/4.89 tff(808,plain,
% 7.07/4.89 ((~xuntil6(s6)) | until5(s7)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[807, 804, 370])).
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% 7.07/4.89 (~xuntil6(s6)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[808, 801])).
% 7.07/4.89 tff(810,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(811,plain,
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% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(812,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[811, 810])).
% 7.07/4.89 tff(813,plain,
% 7.07/4.89 (trans(s6, s7)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[812, 804, 39])).
% 7.07/4.89 tff(814,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(815,plain,
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% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(816,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s6, s7)) | (~always3(s6)) | always3(s7)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[815, 814])).
% 7.07/4.89 tff(817,plain,
% 7.07/4.89 ((~always3(s6)) | always3(s7)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[816, 112, 813])).
% 7.07/4.89 tff(818,plain,
% 7.07/4.89 (~always3(s6)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[817, 789])).
% 7.07/4.89 tff(819,plain,
% 7.07/4.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s6) | (~node4(s6)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s6) | (~node4(s6)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(820,plain,
% 7.07/4.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s6) | (~node4(s6)))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(821,plain,
% 7.07/4.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s6) | (~node4(s6))),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[820, 819])).
% 7.07/4.89 tff(822,plain,
% 7.07/4.89 (~node4(s6)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[821, 16, 818])).
% 7.07/4.89 tff(823,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(824,plain,
% 7.07/4.89 ((node4(s6) | (~until5(s6)) | xuntil6(s6)) <=> (xuntil6(s6) | node4(s6) | (~until5(s6)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(825,plain,
% 7.07/4.89 (((~![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))))),
% 7.07/4.89 inference(monotonicity,[status(thm)],[824])).
% 7.07/4.89 tff(826,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(transitivity,[status(thm)],[825, 823])).
% 7.07/4.89 tff(827,plain,
% 7.07/4.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s6) | (~until5(s6)) | xuntil6(s6))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(828,plain,
% 7.07/4.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s6) | node4(s6) | (~until5(s6))),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[827, 826])).
% 7.07/4.89 tff(829,plain,
% 7.07/4.89 (xuntil6(s6) | (~until5(s6))),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[828, 352, 822])).
% 7.07/4.89 tff(830,plain,
% 7.07/4.89 (~until5(s6)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[829, 809])).
% 7.07/4.89 tff(831,plain,
% 7.07/4.89 (~xuntil6(s5)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[728, 830])).
% 7.07/4.89 tff(832,plain,
% 7.07/4.89 (~always3(s5)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[693, 818])).
% 7.07/4.89 tff(833,plain,
% 7.07/4.89 (~node4(s5)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[681, 16, 832])).
% 7.07/4.89 tff(834,plain,
% 7.07/4.89 (xuntil6(s5) | (~until5(s5))),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[722, 352, 833])).
% 7.07/4.89 tff(835,plain,
% 7.07/4.89 (~until5(s5)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[834, 831])).
% 7.07/4.89 tff(836,plain,
% 7.07/4.89 (~always3(s4)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[484, 832])).
% 7.07/4.89 tff(837,plain,
% 7.07/4.89 (~always3(s3)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[333, 836])).
% 7.07/4.89 tff(838,plain,
% 7.07/4.89 (~always3(s2)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[398, 837])).
% 7.07/4.89 tff(839,plain,
% 7.07/4.89 (~always3(s1)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[410, 838])).
% 7.07/4.89 tff(840,plain,
% 7.07/4.89 (~node4(s1)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[414, 16, 839])).
% 7.07/4.89 tff(841,plain,
% 7.07/4.89 (~always3(s0)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[426, 839])).
% 7.07/4.89 tff(842,plain,
% 7.07/4.89 (~node4(s0)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[430, 16, 841])).
% 7.07/4.89 tff(843,plain,
% 7.07/4.89 (xuntil6(s0)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[441, 842])).
% 7.07/4.89 tff(844,plain,
% 7.07/4.89 (until5(s1)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[446, 843])).
% 7.07/4.89 tff(845,plain,
% 7.07/4.89 (xuntil6(s1)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[453, 352, 844, 840])).
% 7.07/4.89 tff(846,plain,
% 7.07/4.89 (until5(s2)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[458, 845])).
% 7.07/4.89 tff(847,plain,
% 7.07/4.89 (~node4(s2)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[462, 16, 838])).
% 7.07/4.89 tff(848,plain,
% 7.07/4.89 (xuntil6(s2) | (~until5(s2))),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[469, 352, 847])).
% 7.07/4.89 tff(849,plain,
% 7.07/4.89 (xuntil6(s2)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[848, 846])).
% 7.07/4.89 tff(850,plain,
% 7.07/4.89 (until5(s3)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[389, 849])).
% 7.07/4.89 tff(851,plain,
% 7.07/4.89 (~node4(s3)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[337, 16, 837])).
% 7.07/4.89 tff(852,plain,
% 7.07/4.89 (xuntil6(s3) | (~until5(s3))),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[381, 352, 851])).
% 7.07/4.89 tff(853,plain,
% 7.07/4.89 (xuntil6(s3)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[852, 850])).
% 7.07/4.89 tff(854,plain,
% 7.07/4.89 (until5(s4)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[374, 853])).
% 7.07/4.89 tff(855,plain,
% 7.07/4.89 (~node4(s4)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[341, 16, 836])).
% 7.07/4.89 tff(856,plain,
% 7.07/4.89 (xuntil6(s4) | (~until5(s4))),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[358, 352, 855])).
% 7.07/4.89 tff(857,plain,
% 7.07/4.89 (xuntil6(s4)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[856, 854])).
% 7.07/4.89 tff(858,plain,
% 7.07/4.89 ($false),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[672, 857, 835])).
% 7.07/4.89 tff(859,plain,(always3(s9) | xuntil6(s9)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.89 tff(860,plain,
% 7.07/4.89 (always3(s9)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[859, 731])).
% 7.07/4.89 tff(861,plain,
% 7.07/4.89 (succ(s9, s10) <=> succ(s9, s10)),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(862,axiom,(succ(s9, s10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound10')).
% 7.07/4.89 tff(863,plain,
% 7.07/4.89 (succ(s9, s10)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[862, 861])).
% 7.07/4.89 tff(864,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(865,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(866,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[865, 864])).
% 7.07/4.89 tff(867,plain,
% 7.07/4.89 (trans(s9, s10)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[866, 863, 39])).
% 7.07/4.89 tff(868,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(869,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s9, s10)) | (~always3(s9)) | always3(s10))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(870,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s9, s10)) | (~always3(s9)) | always3(s10)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[869, 868])).
% 7.07/4.89 tff(871,plain,
% 7.07/4.89 ((~always3(s9)) | always3(s10)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[870, 112, 867])).
% 7.07/4.89 tff(872,plain,
% 7.07/4.89 (always3(s10)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[871, 860])).
% 7.07/4.89 tff(873,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(874,plain,
% 7.07/4.89 (((~m_main_v_state(s10, c_busy)) | (~always3(s10))) <=> ((~always3(s10)) | (~m_main_v_state(s10, c_busy)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(875,plain,
% 7.07/4.89 (((~![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))))),
% 7.07/4.89 inference(monotonicity,[status(thm)],[874])).
% 7.07/4.89 tff(876,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(transitivity,[status(thm)],[875, 873])).
% 7.07/4.89 tff(877,plain,
% 7.07/4.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s10, c_busy)) | (~always3(s10)))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(878,plain,
% 7.07/4.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s10)) | (~m_main_v_state(s10, c_busy))),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[877, 876])).
% 7.07/4.89 tff(879,plain,
% 7.07/4.89 (~m_main_v_state(s10, c_busy)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[878, 72, 872])).
% 7.07/4.89 tff(880,assumption,(until5(s9)), introduced(assumption)).
% 7.07/4.89 tff(881,plain,
% 7.07/4.89 (xuntil6(s9) | node4(s9)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[758, 352, 880])).
% 7.07/4.89 tff(882,plain,
% 7.07/4.89 (node4(s9)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[881, 731])).
% 7.07/4.89 tff(883,plain,
% 7.07/4.89 (((~![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)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(884,plain,
% 7.07/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s9) | (~node4(s9)))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(885,plain,
% 7.07/4.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s9) | (~node4(s9))),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[884, 883])).
% 7.07/4.89 tff(886,plain,
% 7.07/4.89 (m_main_v_request(s9)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[885, 28, 882])).
% 7.07/4.89 tff(887,plain,
% 7.07/4.89 (((~![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))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(888,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s9, s10)) | node2(s9, s10))),
% 7.07/4.89 inference(quant_inst,[status(thm)],[])).
% 7.07/4.89 tff(889,plain,
% 7.07/4.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s9, s10)) | node2(s9, s10)),
% 7.07/4.89 inference(modus_ponens,[status(thm)],[888, 887])).
% 7.07/4.89 tff(890,plain,
% 7.07/4.89 (node2(s9, s10)),
% 7.07/4.89 inference(unit_resolution,[status(thm)],[889, 7, 867])).
% 7.07/4.89 tff(891,plain,
% 7.07/4.89 (((~![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(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)))),
% 7.07/4.89 inference(rewrite,[status(thm)],[])).
% 7.07/4.89 tff(892,plain,
% 7.07/4.89 ((~![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(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(893,plain,
% 7.07/4.90 ((~![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(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[892, 891])).
% 7.07/4.90 tff(894,plain,
% 7.07/4.90 ((~m_main_v_state(s9, c_ready)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[893, 60, 890])).
% 7.07/4.90 tff(895,plain,
% 7.07/4.90 (~m_main_v_state(s9, c_ready)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[894, 886, 879])).
% 7.07/4.90 tff(896,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(897,plain,
% 7.07/4.90 (((~m_main_v_state(s9, c_busy)) | (~always3(s9))) <=> ((~always3(s9)) | (~m_main_v_state(s9, c_busy)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(898,plain,
% 7.07/4.90 (((~![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))))),
% 7.07/4.90 inference(monotonicity,[status(thm)],[897])).
% 7.07/4.90 tff(899,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(transitivity,[status(thm)],[898, 896])).
% 7.07/4.90 tff(900,plain,
% 7.07/4.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s9, c_busy)) | (~always3(s9)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(901,plain,
% 7.07/4.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s9)) | (~m_main_v_state(s9, c_busy))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[900, 899])).
% 7.07/4.90 tff(902,plain,
% 7.07/4.90 (~m_main_v_state(s9, c_busy)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[901, 72, 860])).
% 7.07/4.90 tff(903,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(904,plain,
% 7.07/4.90 ((~![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))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(905,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s9, c_busy) | m_main_v_state(s9, c_ready)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[904, 903])).
% 7.07/4.90 tff(906,plain,
% 7.07/4.90 ($false),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[905, 89, 902, 895])).
% 7.07/4.90 tff(907,plain,(xuntil6(s9) | (~until5(s9))), inference(lemma,lemma(discharge,[]))).
% 7.07/4.90 tff(908,plain,
% 7.07/4.90 (~until5(s9)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[907, 731])).
% 7.07/4.90 tff(909,plain,
% 7.07/4.90 (~xuntil6(s8)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[764, 908])).
% 7.07/4.90 tff(910,assumption,(~m_main_v_state(s9, c_busy)), introduced(assumption)).
% 7.07/4.90 tff(911,assumption,(node4(s6)), introduced(assumption)).
% 7.07/4.90 tff(912,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(913,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s6) | (~node4(s6)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(914,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s6) | (~node4(s6))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[913, 912])).
% 7.07/4.90 tff(915,plain,
% 7.07/4.90 (m_main_v_request(s6)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[914, 28, 911])).
% 7.07/4.90 tff(916,plain,
% 7.07/4.90 (always3(s6)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[821, 16, 911])).
% 7.07/4.90 tff(917,plain,
% 7.07/4.90 (always3(s7)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[817, 916])).
% 7.07/4.90 tff(918,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(919,plain,
% 7.07/4.90 (((~m_main_v_state(s7, c_busy)) | (~always3(s7))) <=> ((~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(920,plain,
% 7.07/4.90 (((~![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))))),
% 7.07/4.90 inference(monotonicity,[status(thm)],[919])).
% 7.07/4.90 tff(921,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(transitivity,[status(thm)],[920, 918])).
% 7.07/4.90 tff(922,plain,
% 7.07/4.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(923,plain,
% 7.07/4.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[922, 921])).
% 7.07/4.90 tff(924,plain,
% 7.07/4.90 (~m_main_v_state(s7, c_busy)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[923, 72, 917])).
% 7.07/4.90 tff(925,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(926,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s6, s7)) | node2(s6, s7))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(927,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s6, s7)) | node2(s6, s7)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[926, 925])).
% 7.07/4.90 tff(928,plain,
% 7.07/4.90 (node2(s6, s7)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[927, 7, 813])).
% 7.07/4.90 tff(929,plain,
% 7.07/4.90 (((~![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(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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(930,plain,
% 7.07/4.90 ((~![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(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(931,plain,
% 7.07/4.90 ((~![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(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[930, 929])).
% 7.07/4.90 tff(932,plain,
% 7.07/4.90 ((~m_main_v_state(s6, c_ready)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[931, 60, 928])).
% 7.07/4.90 tff(933,plain,
% 7.07/4.90 (~m_main_v_state(s6, c_ready)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[932, 924, 915])).
% 7.07/4.90 tff(934,plain,
% 7.07/4.90 (~m_main_v_state(s6, c_busy)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[700, 72, 916])).
% 7.07/4.90 tff(935,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(936,plain,
% 7.07/4.90 ((~![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))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(937,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[936, 935])).
% 7.07/4.90 tff(938,plain,
% 7.07/4.90 ($false),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[937, 89, 934, 933])).
% 7.07/4.90 tff(939,plain,(~node4(s6)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.90 tff(940,plain,
% 7.07/4.90 (xuntil6(s6) | (~until5(s6))),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[828, 352, 939])).
% 7.07/4.90 tff(941,plain,
% 7.07/4.90 (xuntil6(s6)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[940, 730])).
% 7.07/4.90 tff(942,plain,
% 7.07/4.90 (until5(s7)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[808, 941])).
% 7.07/4.90 tff(943,assumption,(node4(s7)), introduced(assumption)).
% 7.07/4.90 tff(944,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(945,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s7) | (~node4(s7)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(946,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s7) | (~node4(s7))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[945, 944])).
% 7.07/4.90 tff(947,plain,
% 7.07/4.90 (m_main_v_request(s7)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[946, 28, 943])).
% 7.07/4.90 tff(948,plain,
% 7.07/4.90 (always3(s7)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[792, 16, 943])).
% 7.07/4.90 tff(949,plain,
% 7.07/4.90 (always3(s8)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[788, 948])).
% 7.07/4.90 tff(950,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(951,plain,
% 7.07/4.90 (((~m_main_v_state(s8, c_busy)) | (~always3(s8))) <=> ((~always3(s8)) | (~m_main_v_state(s8, c_busy)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(952,plain,
% 7.07/4.90 (((~![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))))),
% 7.07/4.90 inference(monotonicity,[status(thm)],[951])).
% 7.07/4.90 tff(953,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(transitivity,[status(thm)],[952, 950])).
% 7.07/4.90 tff(954,plain,
% 7.07/4.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s8, c_busy)) | (~always3(s8)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(955,plain,
% 7.07/4.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s8)) | (~m_main_v_state(s8, c_busy))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[954, 953])).
% 7.07/4.90 tff(956,plain,
% 7.07/4.90 (~m_main_v_state(s8, c_busy)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[955, 72, 949])).
% 7.07/4.90 tff(957,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(958,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s7, s8)) | node2(s7, s8))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(959,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s7, s8)) | node2(s7, s8)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[958, 957])).
% 7.07/4.90 tff(960,plain,
% 7.07/4.90 (node2(s7, s8)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[959, 7, 784])).
% 7.07/4.90 tff(961,plain,
% 7.07/4.90 (((~![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(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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(962,plain,
% 7.07/4.90 ((~![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(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(963,plain,
% 7.07/4.90 ((~![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(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[962, 961])).
% 7.07/4.90 tff(964,plain,
% 7.07/4.90 ((~m_main_v_state(s7, c_ready)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[963, 60, 960])).
% 7.07/4.90 tff(965,plain,
% 7.07/4.90 (~m_main_v_state(s7, c_ready)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[964, 956, 947])).
% 7.07/4.90 tff(966,plain,
% 7.07/4.90 (~m_main_v_state(s7, c_busy)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[923, 72, 948])).
% 7.07/4.90 tff(967,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(968,plain,
% 7.07/4.90 ((~![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))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(969,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[968, 967])).
% 7.07/4.90 tff(970,plain,
% 7.07/4.90 ($false),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[969, 89, 966, 965])).
% 7.07/4.90 tff(971,plain,(~node4(s7)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.90 tff(972,plain,
% 7.07/4.90 (xuntil6(s7) | (~until5(s7))),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[799, 352, 971])).
% 7.07/4.90 tff(973,plain,
% 7.07/4.90 (xuntil6(s7)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[972, 942])).
% 7.07/4.90 tff(974,plain,
% 7.07/4.90 (until5(s8)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[779, 973])).
% 7.07/4.90 tff(975,assumption,(~xuntil6(s8)), introduced(assumption)).
% 7.07/4.90 tff(976,plain,
% 7.07/4.90 (node4(s8) | (~until5(s8))),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[771, 352, 975])).
% 7.07/4.90 tff(977,plain,
% 7.07/4.90 (node4(s8)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[976, 974])).
% 7.07/4.90 tff(978,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(979,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s8) | (~node4(s8)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(980,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s8) | (~node4(s8))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[979, 978])).
% 7.07/4.90 tff(981,plain,
% 7.07/4.90 (m_main_v_request(s8)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[980, 28, 977])).
% 7.07/4.90 tff(982,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(983,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s8, s9)) | node2(s8, s9))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(984,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s8, s9)) | node2(s8, s9)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[983, 982])).
% 7.07/4.90 tff(985,plain,
% 7.07/4.90 (node2(s8, s9)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[984, 7, 739])).
% 7.07/4.90 tff(986,plain,
% 7.07/4.90 (((~![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(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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(987,plain,
% 7.07/4.90 ((~![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(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(988,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[987, 986])).
% 7.07/4.90 tff(989,plain,
% 7.07/4.90 ((~m_main_v_state(s8, c_ready)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[988, 60, 985])).
% 7.07/4.90 tff(990,plain,
% 7.07/4.90 (~m_main_v_state(s8, c_ready)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[989, 981, 910])).
% 7.07/4.90 tff(991,assumption,(~always3(s8)), introduced(assumption)).
% 7.07/4.90 tff(992,plain,
% 7.07/4.90 (~always3(s7)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[788, 991])).
% 7.07/4.90 tff(993,plain,
% 7.07/4.90 (~always3(s6)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[817, 992])).
% 7.07/4.90 tff(994,plain,
% 7.07/4.90 (~node4(s6)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[821, 16, 993])).
% 7.07/4.90 tff(995,plain,
% 7.07/4.90 (xuntil6(s6) | node4(s6)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[828, 352, 730])).
% 7.07/4.90 tff(996,plain,
% 7.07/4.90 (xuntil6(s6)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[995, 994])).
% 7.07/4.90 tff(997,plain,
% 7.07/4.90 (until5(s7)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[808, 996])).
% 7.07/4.90 tff(998,plain,
% 7.07/4.90 (xuntil6(s7)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[972, 997])).
% 7.07/4.90 tff(999,plain,
% 7.07/4.90 (until5(s8)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[779, 998])).
% 7.07/4.90 tff(1000,plain,
% 7.07/4.90 (node4(s8)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[976, 999])).
% 7.07/4.90 tff(1001,plain,
% 7.07/4.90 ($false),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[747, 16, 991, 1000])).
% 7.07/4.90 tff(1002,plain,(always3(s8) | xuntil6(s8) | (~until5(s6))), inference(lemma,lemma(discharge,[]))).
% 7.07/4.90 tff(1003,plain,
% 7.07/4.90 (always3(s8)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1002, 730, 975])).
% 7.07/4.90 tff(1004,plain,
% 7.07/4.90 (~m_main_v_state(s8, c_busy)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[955, 72, 1003])).
% 7.07/4.90 tff(1005,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1006,plain,
% 7.07/4.90 ((~![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))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1007,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s8, c_busy) | m_main_v_state(s8, c_ready)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 7.07/4.90 tff(1008,plain,
% 7.07/4.90 ($false),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1007, 89, 1004, 990])).
% 7.07/4.90 tff(1009,plain,((~until5(s6)) | m_main_v_state(s9, c_busy) | xuntil6(s8)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.90 tff(1010,plain,
% 7.07/4.90 (m_main_v_state(s9, c_busy)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1009, 909, 730])).
% 7.07/4.90 tff(1011,plain,
% 7.07/4.90 ($false),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[901, 72, 860, 1010])).
% 7.07/4.90 tff(1012,plain,(xuntil6(s9) | (~until5(s6))), inference(lemma,lemma(discharge,[]))).
% 7.07/4.90 tff(1013,plain,
% 7.07/4.90 (xuntil6(s9)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1012, 729])).
% 7.07/4.90 tff(1014,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1015,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1016,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1015, 1014])).
% 7.07/4.90 tff(1017,plain,
% 7.07/4.90 ((~xuntil6(s9)) | until5(s10)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1016, 863, 370])).
% 7.07/4.90 tff(1018,plain,
% 7.07/4.90 (until5(s10)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1017, 1013])).
% 7.07/4.90 tff(1019,assumption,(~xuntil6(s13)), introduced(assumption)).
% 7.07/4.90 tff(1020,assumption,(until5(s10)), introduced(assumption)).
% 7.07/4.90 tff(1021,assumption,(~always3(s13)), introduced(assumption)).
% 7.07/4.90 tff(1022,plain,
% 7.07/4.90 (succ(s12, s13) <=> succ(s12, s13)),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1023,axiom,(succ(s12, s13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound13')).
% 7.07/4.90 tff(1024,plain,
% 7.07/4.90 (succ(s12, s13)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1023, 1022])).
% 7.07/4.90 tff(1025,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1026,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1027,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1026, 1025])).
% 7.07/4.90 tff(1028,plain,
% 7.07/4.90 (trans(s12, s13)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1027, 1024, 39])).
% 7.07/4.90 tff(1029,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1030,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s12, s13)) | (~always3(s12)) | always3(s13))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1031,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s12, s13)) | (~always3(s12)) | always3(s13)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 7.07/4.90 tff(1032,plain,
% 7.07/4.90 ((~always3(s12)) | always3(s13)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1031, 112, 1028])).
% 7.07/4.90 tff(1033,plain,
% 7.07/4.90 (~always3(s12)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1032, 1021])).
% 7.07/4.90 tff(1034,plain,
% 7.07/4.90 (succ(s11, s12) <=> succ(s11, s12)),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1035,axiom,(succ(s11, s12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound12')).
% 7.07/4.90 tff(1036,plain,
% 7.07/4.90 (succ(s11, s12)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1035, 1034])).
% 7.07/4.90 tff(1037,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1038,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1039,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 7.07/4.90 tff(1040,plain,
% 7.07/4.90 (trans(s11, s12)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1039, 1036, 39])).
% 7.07/4.90 tff(1041,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1042,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s11, s12)) | (~always3(s11)) | always3(s12))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1043,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s11, s12)) | (~always3(s11)) | always3(s12)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 7.07/4.90 tff(1044,plain,
% 7.07/4.90 ((~always3(s11)) | always3(s12)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1043, 112, 1040])).
% 7.07/4.90 tff(1045,plain,
% 7.07/4.90 (~always3(s11)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1044, 1033])).
% 7.07/4.90 tff(1046,plain,
% 7.07/4.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1047,plain,
% 7.07/4.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1048,plain,
% 7.07/4.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1047, 1046])).
% 7.07/4.90 tff(1049,plain,
% 7.07/4.90 (~node4(s11)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1048, 16, 1045])).
% 7.07/4.90 tff(1050,plain,
% 7.07/4.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s13) | (~node4(s13)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s13) | (~node4(s13)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1051,plain,
% 7.07/4.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s13) | (~node4(s13)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1052,plain,
% 7.07/4.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s13) | (~node4(s13))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1051, 1050])).
% 7.07/4.90 tff(1053,plain,
% 7.07/4.90 (~node4(s13)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1052, 16, 1021])).
% 7.07/4.90 tff(1054,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1055,plain,
% 7.07/4.90 ((node4(s13) | (~until5(s13)) | xuntil6(s13)) <=> (xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1056,plain,
% 7.07/4.90 (((~![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))))),
% 7.07/4.90 inference(monotonicity,[status(thm)],[1055])).
% 7.07/4.90 tff(1057,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(transitivity,[status(thm)],[1056, 1054])).
% 7.07/4.90 tff(1058,plain,
% 7.07/4.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1059,plain,
% 7.07/4.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1058, 1057])).
% 7.07/4.90 tff(1060,plain,
% 7.07/4.90 (node4(s13) | (~until5(s13))),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1059, 352, 1019])).
% 7.07/4.90 tff(1061,plain,
% 7.07/4.90 (~until5(s13)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1060, 1053])).
% 7.07/4.90 tff(1062,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1063,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1064,plain,
% 7.07/4.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13)),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1063, 1062])).
% 7.07/4.90 tff(1065,plain,
% 7.07/4.90 ((~xuntil6(s12)) | until5(s13)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1064, 1024, 370])).
% 7.07/4.90 tff(1066,plain,
% 7.07/4.90 (~xuntil6(s12)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1065, 1061])).
% 7.07/4.90 tff(1067,assumption,(node4(s12)), introduced(assumption)).
% 7.07/4.90 tff(1068,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1069,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s12) | (~node4(s12)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1070,plain,
% 7.07/4.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s12) | (~node4(s12))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1069, 1068])).
% 7.07/4.90 tff(1071,plain,
% 7.07/4.90 (m_main_v_request(s12)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1070, 28, 1067])).
% 7.07/4.90 tff(1072,plain,
% 7.07/4.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s12) | (~node4(s12)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s12) | (~node4(s12)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1073,plain,
% 7.07/4.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s12) | (~node4(s12)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1074,plain,
% 7.07/4.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s12) | (~node4(s12))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1073, 1072])).
% 7.07/4.90 tff(1075,plain,
% 7.07/4.90 (always3(s12)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1074, 16, 1067])).
% 7.07/4.90 tff(1076,plain,
% 7.07/4.90 (always3(s13)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1032, 1075])).
% 7.07/4.90 tff(1077,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1078,plain,
% 7.07/4.90 (((~m_main_v_state(s13, c_busy)) | (~always3(s13))) <=> ((~always3(s13)) | (~m_main_v_state(s13, c_busy)))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1079,plain,
% 7.07/4.90 (((~![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))))),
% 7.07/4.90 inference(monotonicity,[status(thm)],[1078])).
% 7.07/4.90 tff(1080,plain,
% 7.07/4.90 (((~![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)))),
% 7.07/4.90 inference(transitivity,[status(thm)],[1079, 1077])).
% 7.07/4.90 tff(1081,plain,
% 7.07/4.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s13, c_busy)) | (~always3(s13)))),
% 7.07/4.90 inference(quant_inst,[status(thm)],[])).
% 7.07/4.90 tff(1082,plain,
% 7.07/4.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s13)) | (~m_main_v_state(s13, c_busy))),
% 7.07/4.90 inference(modus_ponens,[status(thm)],[1081, 1080])).
% 7.07/4.90 tff(1083,plain,
% 7.07/4.90 (~m_main_v_state(s13, c_busy)),
% 7.07/4.90 inference(unit_resolution,[status(thm)],[1082, 72, 1076])).
% 7.07/4.90 tff(1084,plain,
% 7.07/4.90 (((~![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))),
% 7.07/4.90 inference(rewrite,[status(thm)],[])).
% 7.07/4.90 tff(1085,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s12, s13)) | node2(s12, s13))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1086,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s12, s13)) | node2(s12, s13)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 7.07/4.91 tff(1087,plain,
% 7.07/4.91 (node2(s12, s13)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1086, 7, 1028])).
% 7.07/4.91 tff(1088,plain,
% 7.07/4.91 (((~![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(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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1089,plain,
% 7.07/4.91 ((~![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(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12)))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1090,plain,
% 7.07/4.91 ((~![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(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 7.07/4.91 tff(1091,plain,
% 7.07/4.91 ((~m_main_v_state(s12, c_ready)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1090, 60, 1087])).
% 7.07/4.91 tff(1092,plain,
% 7.07/4.91 (~m_main_v_state(s12, c_ready)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1091, 1083, 1071])).
% 7.07/4.91 tff(1093,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1094,plain,
% 7.07/4.91 (((~m_main_v_state(s12, c_busy)) | (~always3(s12))) <=> ((~always3(s12)) | (~m_main_v_state(s12, c_busy)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1095,plain,
% 7.07/4.91 (((~![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))))),
% 7.07/4.91 inference(monotonicity,[status(thm)],[1094])).
% 7.07/4.91 tff(1096,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(transitivity,[status(thm)],[1095, 1093])).
% 7.07/4.91 tff(1097,plain,
% 7.07/4.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s12, c_busy)) | (~always3(s12)))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1098,plain,
% 7.07/4.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s12)) | (~m_main_v_state(s12, c_busy))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1097, 1096])).
% 7.07/4.91 tff(1099,plain,
% 7.07/4.91 (~m_main_v_state(s12, c_busy)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1098, 72, 1075])).
% 7.07/4.91 tff(1100,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1101,plain,
% 7.07/4.91 ((~![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))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1102,plain,
% 7.07/4.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1101, 1100])).
% 7.07/4.91 tff(1103,plain,
% 7.07/4.91 ($false),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1102, 89, 1099, 1092])).
% 7.07/4.91 tff(1104,plain,(~node4(s12)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.91 tff(1105,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1106,plain,
% 7.07/4.91 ((node4(s12) | (~until5(s12)) | xuntil6(s12)) <=> (xuntil6(s12) | node4(s12) | (~until5(s12)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1107,plain,
% 7.07/4.91 (((~![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))))),
% 7.07/4.91 inference(monotonicity,[status(thm)],[1106])).
% 7.07/4.91 tff(1108,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(transitivity,[status(thm)],[1107, 1105])).
% 7.07/4.91 tff(1109,plain,
% 7.07/4.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1110,plain,
% 7.07/4.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s12) | node4(s12) | (~until5(s12))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1109, 1108])).
% 7.07/4.91 tff(1111,plain,
% 7.07/4.91 (xuntil6(s12) | (~until5(s12))),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1110, 352, 1104])).
% 7.07/4.91 tff(1112,plain,
% 7.07/4.91 (~until5(s12)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1111, 1066])).
% 7.07/4.91 tff(1113,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1114,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1115,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 7.07/4.91 tff(1116,plain,
% 7.07/4.91 ((~xuntil6(s11)) | until5(s12)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1115, 1036, 370])).
% 7.07/4.91 tff(1117,plain,
% 7.07/4.91 (~xuntil6(s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1116, 1112])).
% 7.07/4.91 tff(1118,plain,
% 7.07/4.91 (succ(s10, s11) <=> succ(s10, s11)),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1119,axiom,(succ(s10, s11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound11')).
% 7.07/4.91 tff(1120,plain,
% 7.07/4.91 (succ(s10, s11)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1119, 1118])).
% 7.07/4.91 tff(1121,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1122,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1123,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 7.07/4.91 tff(1124,plain,
% 7.07/4.91 (trans(s10, s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1123, 1120, 39])).
% 7.07/4.91 tff(1125,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1126,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s10, s11)) | (~always3(s10)) | always3(s11))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1127,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s10, s11)) | (~always3(s10)) | always3(s11)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1126, 1125])).
% 7.07/4.91 tff(1128,plain,
% 7.07/4.91 ((~always3(s10)) | always3(s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1127, 112, 1124])).
% 7.07/4.91 tff(1129,plain,
% 7.07/4.91 (~always3(s10)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1128, 1045])).
% 7.07/4.91 tff(1130,plain,
% 7.07/4.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1131,plain,
% 7.07/4.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1132,plain,
% 7.07/4.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 7.07/4.91 tff(1133,plain,
% 7.07/4.91 (~node4(s10)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1132, 16, 1129])).
% 7.07/4.91 tff(1134,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1135,plain,
% 7.07/4.91 ((node4(s10) | (~until5(s10)) | xuntil6(s10)) <=> (xuntil6(s10) | node4(s10) | (~until5(s10)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1136,plain,
% 7.07/4.91 (((~![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))))),
% 7.07/4.91 inference(monotonicity,[status(thm)],[1135])).
% 7.07/4.91 tff(1137,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(transitivity,[status(thm)],[1136, 1134])).
% 7.07/4.91 tff(1138,plain,
% 7.07/4.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s10) | (~until5(s10)) | xuntil6(s10))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1139,plain,
% 7.07/4.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s10) | node4(s10) | (~until5(s10))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 7.07/4.91 tff(1140,plain,
% 7.07/4.91 (xuntil6(s10) | node4(s10)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1139, 352, 1020])).
% 7.07/4.91 tff(1141,plain,
% 7.07/4.91 (xuntil6(s10)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1140, 1133])).
% 7.07/4.91 tff(1142,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1143,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1144,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1143, 1142])).
% 7.07/4.91 tff(1145,plain,
% 7.07/4.91 ((~xuntil6(s10)) | until5(s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1144, 1120, 370])).
% 7.07/4.91 tff(1146,plain,
% 7.07/4.91 (until5(s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1145, 1141])).
% 7.07/4.91 tff(1147,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1148,plain,
% 7.07/4.91 ((node4(s11) | (~until5(s11)) | xuntil6(s11)) <=> (xuntil6(s11) | node4(s11) | (~until5(s11)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1149,plain,
% 7.07/4.91 (((~![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))))),
% 7.07/4.91 inference(monotonicity,[status(thm)],[1148])).
% 7.07/4.91 tff(1150,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(transitivity,[status(thm)],[1149, 1147])).
% 7.07/4.91 tff(1151,plain,
% 7.07/4.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s11) | (~until5(s11)) | xuntil6(s11))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1152,plain,
% 7.07/4.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s11) | node4(s11) | (~until5(s11))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1151, 1150])).
% 7.07/4.91 tff(1153,plain,
% 7.07/4.91 ($false),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1152, 352, 1146, 1117, 1049])).
% 7.07/4.91 tff(1154,plain,(always3(s13) | (~until5(s10)) | xuntil6(s13)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.91 tff(1155,plain,
% 7.07/4.91 (always3(s13)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1154, 1020, 1019])).
% 7.07/4.91 tff(1156,plain,
% 7.07/4.91 (succ(s13, s14) <=> succ(s13, s14)),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1157,axiom,(succ(s13, s14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound14')).
% 7.07/4.91 tff(1158,plain,
% 7.07/4.91 (succ(s13, s14)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 7.07/4.91 tff(1159,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1160,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1161,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1160, 1159])).
% 7.07/4.91 tff(1162,plain,
% 7.07/4.91 (trans(s13, s14)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1161, 1158, 39])).
% 7.07/4.91 tff(1163,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1164,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s13, s14)) | (~always3(s13)) | always3(s14))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1165,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s13, s14)) | (~always3(s13)) | always3(s14)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1164, 1163])).
% 7.07/4.91 tff(1166,plain,
% 7.07/4.91 ((~always3(s13)) | always3(s14)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1165, 112, 1162])).
% 7.07/4.91 tff(1167,plain,
% 7.07/4.91 (always3(s14)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1166, 1155])).
% 7.07/4.91 tff(1168,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1169,plain,
% 7.07/4.91 (((~m_main_v_state(s14, c_busy)) | (~always3(s14))) <=> ((~always3(s14)) | (~m_main_v_state(s14, c_busy)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1170,plain,
% 7.07/4.91 (((~![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))))),
% 7.07/4.91 inference(monotonicity,[status(thm)],[1169])).
% 7.07/4.91 tff(1171,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(transitivity,[status(thm)],[1170, 1168])).
% 7.07/4.91 tff(1172,plain,
% 7.07/4.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s14, c_busy)) | (~always3(s14)))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1173,plain,
% 7.07/4.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s14)) | (~m_main_v_state(s14, c_busy))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1172, 1171])).
% 7.07/4.91 tff(1174,plain,
% 7.07/4.91 (~m_main_v_state(s14, c_busy)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1173, 72, 1167])).
% 7.07/4.91 tff(1175,plain,
% 7.07/4.91 (~m_main_v_state(s13, c_busy)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1082, 72, 1155])).
% 7.07/4.91 tff(1176,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1177,plain,
% 7.07/4.91 ((~![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))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1178,plain,
% 7.07/4.91 ((~![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)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1177, 1176])).
% 7.07/4.91 tff(1179,plain,
% 7.07/4.91 (m_main_v_state(s13, c_ready)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1178, 89, 1175])).
% 7.07/4.91 tff(1180,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1181,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s13, s14)) | node2(s13, s14))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1182,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s13, s14)) | node2(s13, s14)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1181, 1180])).
% 7.07/4.91 tff(1183,plain,
% 7.07/4.91 (node2(s13, s14)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1182, 7, 1162])).
% 7.07/4.91 tff(1184,plain,
% 7.07/4.91 (((~![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(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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1185,plain,
% 7.07/4.91 ((~![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(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13)))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1186,plain,
% 7.07/4.91 ((~![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(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1185, 1184])).
% 7.07/4.91 tff(1187,plain,
% 7.07/4.91 ((~m_main_v_state(s13, c_ready)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1186, 60, 1183])).
% 7.07/4.91 tff(1188,plain,
% 7.07/4.91 (~m_main_v_request(s13)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1187, 1179, 1174])).
% 7.07/4.91 tff(1189,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1190,plain,
% 7.07/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s13) | (~node4(s13)))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1191,plain,
% 7.07/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s13) | (~node4(s13))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1190, 1189])).
% 7.07/4.91 tff(1192,plain,
% 7.07/4.91 (~node4(s13)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1191, 28, 1188])).
% 7.07/4.91 tff(1193,plain,
% 7.07/4.91 (~until5(s13)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1060, 1192])).
% 7.07/4.91 tff(1194,plain,
% 7.07/4.91 (~xuntil6(s12)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1065, 1193])).
% 7.07/4.91 tff(1195,plain,
% 7.07/4.91 (~until5(s12)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1111, 1194])).
% 7.07/4.91 tff(1196,plain,
% 7.07/4.91 (~xuntil6(s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1116, 1195])).
% 7.07/4.91 tff(1197,assumption,(~always3(s11)), introduced(assumption)).
% 7.07/4.91 tff(1198,plain,
% 7.07/4.91 (~node4(s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1048, 16, 1197])).
% 7.07/4.91 tff(1199,assumption,(~xuntil6(s11)), introduced(assumption)).
% 7.07/4.91 tff(1200,plain,
% 7.07/4.91 (node4(s11) | (~until5(s11))),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1152, 352, 1199])).
% 7.07/4.91 tff(1201,plain,
% 7.07/4.91 (~until5(s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1200, 1198])).
% 7.07/4.91 tff(1202,plain,
% 7.07/4.91 (~always3(s10)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1128, 1197])).
% 7.07/4.91 tff(1203,plain,
% 7.07/4.91 (~node4(s10)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1132, 16, 1202])).
% 7.07/4.91 tff(1204,plain,
% 7.07/4.91 (xuntil6(s10)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1140, 1203])).
% 7.07/4.91 tff(1205,plain,
% 7.07/4.91 ($false),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1145, 1204, 1201])).
% 7.07/4.91 tff(1206,plain,(always3(s11) | (~until5(s10)) | xuntil6(s11)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.91 tff(1207,plain,
% 7.07/4.91 (always3(s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1206, 1020, 1196])).
% 7.07/4.91 tff(1208,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1209,plain,
% 7.07/4.91 (((~m_main_v_state(s11, c_busy)) | (~always3(s11))) <=> ((~always3(s11)) | (~m_main_v_state(s11, c_busy)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1210,plain,
% 7.07/4.91 (((~![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))))),
% 7.07/4.91 inference(monotonicity,[status(thm)],[1209])).
% 7.07/4.91 tff(1211,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(transitivity,[status(thm)],[1210, 1208])).
% 7.07/4.91 tff(1212,plain,
% 7.07/4.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s11, c_busy)) | (~always3(s11)))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1213,plain,
% 7.07/4.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s11)) | (~m_main_v_state(s11, c_busy))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1212, 1211])).
% 7.07/4.91 tff(1214,plain,
% 7.07/4.91 (~m_main_v_state(s11, c_busy)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1213, 72, 1207])).
% 7.07/4.91 tff(1215,plain,
% 7.07/4.91 (always3(s12)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1044, 1207])).
% 7.07/4.91 tff(1216,plain,
% 7.07/4.91 (~m_main_v_state(s12, c_busy)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1098, 72, 1215])).
% 7.07/4.91 tff(1217,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1218,plain,
% 7.07/4.91 ((~![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))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1219,plain,
% 7.07/4.91 ((~![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)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1218, 1217])).
% 7.07/4.91 tff(1220,plain,
% 7.07/4.91 (m_main_v_state(s11, c_ready)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1219, 89, 1214])).
% 7.07/4.91 tff(1221,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1222,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s11, s12)) | node2(s11, s12))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1223,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s11, s12)) | node2(s11, s12)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1222, 1221])).
% 7.07/4.91 tff(1224,plain,
% 7.07/4.91 (node2(s11, s12)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1223, 7, 1040])).
% 7.07/4.91 tff(1225,plain,
% 7.07/4.91 (((~![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(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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1226,plain,
% 7.07/4.91 ((~![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(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11)))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1227,plain,
% 7.07/4.91 ((~![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(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1226, 1225])).
% 7.07/4.91 tff(1228,plain,
% 7.07/4.91 ((~m_main_v_state(s11, c_ready)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1227, 60, 1224])).
% 7.07/4.91 tff(1229,plain,
% 7.07/4.91 (~m_main_v_request(s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1228, 1220, 1216])).
% 7.07/4.91 tff(1230,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1231,plain,
% 7.07/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s11) | (~node4(s11)))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1232,plain,
% 7.07/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s11) | (~node4(s11))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1231, 1230])).
% 7.07/4.91 tff(1233,plain,
% 7.07/4.91 (~node4(s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1232, 28, 1229])).
% 7.07/4.91 tff(1234,plain,
% 7.07/4.91 (node4(s11) | (~until5(s11))),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1152, 352, 1196])).
% 7.07/4.91 tff(1235,plain,
% 7.07/4.91 (~until5(s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1234, 1233])).
% 7.07/4.91 tff(1236,plain,
% 7.07/4.91 (~xuntil6(s10)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1145, 1235])).
% 7.07/4.91 tff(1237,plain,
% 7.07/4.91 (node4(s10)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1140, 1236])).
% 7.07/4.91 tff(1238,plain,
% 7.07/4.91 (((~![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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1239,plain,
% 7.07/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s10) | (~node4(s10)))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1240,plain,
% 7.07/4.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s10) | (~node4(s10))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1239, 1238])).
% 7.07/4.91 tff(1241,plain,
% 7.07/4.91 (m_main_v_request(s10)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1240, 28, 1237])).
% 7.07/4.91 tff(1242,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1243,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s10, s11)) | node2(s10, s11))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1244,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s10, s11)) | node2(s10, s11)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1243, 1242])).
% 7.07/4.91 tff(1245,plain,
% 7.07/4.91 (node2(s10, s11)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1244, 7, 1124])).
% 7.07/4.91 tff(1246,plain,
% 7.07/4.91 (((~![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(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)))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1247,plain,
% 7.07/4.91 ((~![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(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10)))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1248,plain,
% 7.07/4.91 ((~![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(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1247, 1246])).
% 7.07/4.91 tff(1249,plain,
% 7.07/4.91 ((~m_main_v_state(s10, c_ready)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1248, 60, 1245])).
% 7.07/4.91 tff(1250,plain,
% 7.07/4.91 (~m_main_v_state(s10, c_ready)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1249, 1241, 1214])).
% 7.07/4.91 tff(1251,plain,
% 7.07/4.91 (always3(s10)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1132, 16, 1237])).
% 7.07/4.91 tff(1252,plain,
% 7.07/4.91 (~m_main_v_state(s10, c_busy)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[878, 72, 1251])).
% 7.07/4.91 tff(1253,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1254,plain,
% 7.07/4.91 ((~![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))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1255,plain,
% 7.07/4.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready)),
% 7.07/4.91 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 7.07/4.91 tff(1256,plain,
% 7.07/4.91 ($false),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1255, 89, 1252, 1250])).
% 7.07/4.91 tff(1257,plain,((~until5(s10)) | xuntil6(s13)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.91 tff(1258,plain,
% 7.07/4.91 (xuntil6(s13)),
% 7.07/4.91 inference(unit_resolution,[status(thm)],[1257, 1018])).
% 7.07/4.91 tff(1259,plain,
% 7.07/4.91 (((~![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))),
% 7.07/4.91 inference(rewrite,[status(thm)],[])).
% 7.07/4.91 tff(1260,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))),
% 7.07/4.91 inference(quant_inst,[status(thm)],[])).
% 7.07/4.91 tff(1261,plain,
% 7.07/4.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1260, 1259])).
% 7.07/4.92 tff(1262,plain,
% 7.07/4.92 ((~xuntil6(s13)) | until5(s14)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1261, 1158, 370])).
% 7.07/4.92 tff(1263,plain,
% 7.07/4.92 (until5(s14)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1262, 1258])).
% 7.07/4.92 tff(1264,assumption,(node4(s14)), introduced(assumption)).
% 7.07/4.92 tff(1265,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1266,plain,
% 7.07/4.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s14) | (~node4(s14)))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1267,plain,
% 7.07/4.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s14) | (~node4(s14))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1266, 1265])).
% 7.07/4.92 tff(1268,plain,
% 7.07/4.92 (m_main_v_request(s14)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1267, 28, 1264])).
% 7.07/4.92 tff(1269,plain,
% 7.07/4.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s14) | (~node4(s14)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s14) | (~node4(s14)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1270,plain,
% 7.07/4.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s14) | (~node4(s14)))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1271,plain,
% 7.07/4.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s14) | (~node4(s14))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1270, 1269])).
% 7.07/4.92 tff(1272,plain,
% 7.07/4.92 (always3(s14)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1271, 16, 1264])).
% 7.07/4.92 tff(1273,plain,
% 7.07/4.92 (succ(s14, s15) <=> succ(s14, s15)),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1274,axiom,(succ(s14, s15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound15')).
% 7.07/4.92 tff(1275,plain,
% 7.07/4.92 (succ(s14, s15)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1274, 1273])).
% 7.07/4.92 tff(1276,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1277,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1278,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 7.07/4.92 tff(1279,plain,
% 7.07/4.92 (trans(s14, s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1278, 1275, 39])).
% 7.07/4.92 tff(1280,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1281,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s14, s15)) | (~always3(s14)) | always3(s15))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1282,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s14, s15)) | (~always3(s14)) | always3(s15)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 7.07/4.92 tff(1283,plain,
% 7.07/4.92 ((~always3(s14)) | always3(s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1282, 112, 1279])).
% 7.07/4.92 tff(1284,plain,
% 7.07/4.92 (always3(s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1283, 1272])).
% 7.07/4.92 tff(1285,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1286,plain,
% 7.07/4.92 (((~m_main_v_state(s15, c_busy)) | (~always3(s15))) <=> ((~always3(s15)) | (~m_main_v_state(s15, c_busy)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1287,plain,
% 7.07/4.92 (((~![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))))),
% 7.07/4.92 inference(monotonicity,[status(thm)],[1286])).
% 7.07/4.92 tff(1288,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(transitivity,[status(thm)],[1287, 1285])).
% 7.07/4.92 tff(1289,plain,
% 7.07/4.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s15, c_busy)) | (~always3(s15)))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1290,plain,
% 7.07/4.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s15)) | (~m_main_v_state(s15, c_busy))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 7.07/4.92 tff(1291,plain,
% 7.07/4.92 (~m_main_v_state(s15, c_busy)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1290, 72, 1284])).
% 7.07/4.92 tff(1292,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1293,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s14, s15)) | node2(s14, s15))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1294,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s14, s15)) | node2(s14, s15)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1293, 1292])).
% 7.07/4.92 tff(1295,plain,
% 7.07/4.92 (node2(s14, s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1294, 7, 1279])).
% 7.07/4.92 tff(1296,plain,
% 7.07/4.92 (((~![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(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)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1297,plain,
% 7.07/4.92 ((~![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(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14)))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1298,plain,
% 7.07/4.92 ((~![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(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 7.07/4.92 tff(1299,plain,
% 7.07/4.92 ((~m_main_v_state(s14, c_ready)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1298, 60, 1295])).
% 7.07/4.92 tff(1300,plain,
% 7.07/4.92 (~m_main_v_state(s14, c_ready)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1299, 1291, 1268])).
% 7.07/4.92 tff(1301,plain,
% 7.07/4.92 (~m_main_v_state(s14, c_busy)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1173, 72, 1272])).
% 7.07/4.92 tff(1302,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1303,plain,
% 7.07/4.92 ((~![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))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1304,plain,
% 7.07/4.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1303, 1302])).
% 7.07/4.92 tff(1305,plain,
% 7.07/4.92 ($false),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1304, 89, 1301, 1300])).
% 7.07/4.92 tff(1306,plain,(~node4(s14)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.92 tff(1307,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1308,plain,
% 7.07/4.92 ((node4(s14) | (~until5(s14)) | xuntil6(s14)) <=> (xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1309,plain,
% 7.07/4.92 (((~![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))))),
% 7.07/4.92 inference(monotonicity,[status(thm)],[1308])).
% 7.07/4.92 tff(1310,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(transitivity,[status(thm)],[1309, 1307])).
% 7.07/4.92 tff(1311,plain,
% 7.07/4.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1312,plain,
% 7.07/4.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1311, 1310])).
% 7.07/4.92 tff(1313,plain,
% 7.07/4.92 (xuntil6(s14) | (~until5(s14))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1312, 352, 1306])).
% 7.07/4.92 tff(1314,plain,
% 7.07/4.92 (xuntil6(s14)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1313, 1263])).
% 7.07/4.92 tff(1315,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1316,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1317,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 7.07/4.92 tff(1318,plain,
% 7.07/4.92 ((~xuntil6(s14)) | until5(s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1317, 1275, 370])).
% 7.07/4.92 tff(1319,plain,
% 7.07/4.92 (until5(s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1318, 1314])).
% 7.07/4.92 tff(1320,assumption,(~xuntil6(s15)), introduced(assumption)).
% 7.07/4.92 tff(1321,assumption,(~always3(s15)), introduced(assumption)).
% 7.07/4.92 tff(1322,plain,
% 7.07/4.92 (~always3(s14)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1283, 1321])).
% 7.07/4.92 tff(1323,plain,
% 7.07/4.92 (~node4(s14)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1271, 16, 1322])).
% 7.07/4.92 tff(1324,plain,
% 7.07/4.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s15) | (~node4(s15)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s15) | (~node4(s15)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1325,plain,
% 7.07/4.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s15) | (~node4(s15)))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1326,plain,
% 7.07/4.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s15) | (~node4(s15))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1325, 1324])).
% 7.07/4.92 tff(1327,plain,
% 7.07/4.92 (~node4(s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1326, 16, 1321])).
% 7.07/4.92 tff(1328,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1329,plain,
% 7.07/4.92 ((node4(s15) | (~until5(s15)) | xuntil6(s15)) <=> (xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1330,plain,
% 7.07/4.92 (((~![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))))),
% 7.07/4.92 inference(monotonicity,[status(thm)],[1329])).
% 7.07/4.92 tff(1331,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(transitivity,[status(thm)],[1330, 1328])).
% 7.07/4.92 tff(1332,plain,
% 7.07/4.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1333,plain,
% 7.07/4.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 7.07/4.92 tff(1334,plain,
% 7.07/4.92 (node4(s15) | (~until5(s15))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1333, 352, 1320])).
% 7.07/4.92 tff(1335,plain,
% 7.07/4.92 (~until5(s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1334, 1327])).
% 7.07/4.92 tff(1336,plain,
% 7.07/4.92 (~xuntil6(s14)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1318, 1335])).
% 7.07/4.92 tff(1337,plain,
% 7.07/4.92 (~until5(s14)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1312, 352, 1336, 1323])).
% 7.07/4.92 tff(1338,plain,
% 7.07/4.92 (~xuntil6(s13)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1262, 1337])).
% 7.07/4.92 tff(1339,plain,
% 7.07/4.92 (~always3(s13)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1166, 1322])).
% 7.07/4.92 tff(1340,plain,
% 7.07/4.92 (~node4(s13)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1052, 16, 1339])).
% 7.07/4.92 tff(1341,plain,
% 7.07/4.92 (xuntil6(s13) | (~until5(s13))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1059, 352, 1340])).
% 7.07/4.92 tff(1342,plain,
% 7.07/4.92 (~until5(s13)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1341, 1338])).
% 7.07/4.92 tff(1343,plain,
% 7.07/4.92 (~xuntil6(s12)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1065, 1342])).
% 7.07/4.92 tff(1344,plain,
% 7.07/4.92 (~always3(s12)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1032, 1339])).
% 7.07/4.92 tff(1345,plain,
% 7.07/4.92 (~node4(s12)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1074, 16, 1344])).
% 7.07/4.92 tff(1346,plain,
% 7.07/4.92 (xuntil6(s12) | (~until5(s12))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1110, 352, 1345])).
% 7.07/4.92 tff(1347,plain,
% 7.07/4.92 (~until5(s12)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1346, 1343])).
% 7.07/4.92 tff(1348,plain,
% 7.07/4.92 (~xuntil6(s11)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1116, 1347])).
% 7.07/4.92 tff(1349,plain,
% 7.07/4.92 (~always3(s11)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1044, 1344])).
% 7.07/4.92 tff(1350,plain,
% 7.07/4.92 (~node4(s11)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1048, 16, 1349])).
% 7.07/4.92 tff(1351,plain,
% 7.07/4.92 (xuntil6(s11) | (~until5(s11))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1152, 352, 1350])).
% 7.07/4.92 tff(1352,plain,
% 7.07/4.92 (~until5(s11)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1351, 1348])).
% 7.07/4.92 tff(1353,plain,
% 7.07/4.92 (~xuntil6(s10)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1145, 1352])).
% 7.07/4.92 tff(1354,plain,
% 7.07/4.92 (~always3(s10)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1128, 1349])).
% 7.07/4.92 tff(1355,plain,
% 7.07/4.92 (~node4(s10)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1132, 16, 1354])).
% 7.07/4.92 tff(1356,plain,
% 7.07/4.92 (xuntil6(s10) | (~until5(s10))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1139, 352, 1355])).
% 7.07/4.92 tff(1357,plain,
% 7.07/4.92 (~until5(s10)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1356, 1353])).
% 7.07/4.92 tff(1358,plain,
% 7.07/4.92 (~xuntil6(s9)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1017, 1357])).
% 7.07/4.92 tff(1359,plain,
% 7.07/4.92 (~always3(s9)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[871, 1354])).
% 7.07/4.92 tff(1360,plain,
% 7.07/4.92 (~node4(s9)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[751, 16, 1359])).
% 7.07/4.92 tff(1361,plain,
% 7.07/4.92 (xuntil6(s9) | (~until5(s9))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[758, 352, 1360])).
% 7.07/4.92 tff(1362,plain,
% 7.07/4.92 (~until5(s9)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1361, 1358])).
% 7.07/4.92 tff(1363,plain,
% 7.07/4.92 (~xuntil6(s8)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[764, 1362])).
% 7.07/4.92 tff(1364,plain,
% 7.07/4.92 (~always3(s8)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[743, 1359])).
% 7.07/4.92 tff(1365,plain,
% 7.07/4.92 (~node4(s8)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[747, 16, 1364])).
% 7.07/4.92 tff(1366,plain,
% 7.07/4.92 (xuntil6(s8) | (~until5(s8))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[771, 352, 1365])).
% 7.07/4.92 tff(1367,plain,
% 7.07/4.92 (~until5(s8)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1366, 1363])).
% 7.07/4.92 tff(1368,plain,
% 7.07/4.92 (~always3(s7)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[788, 1364])).
% 7.07/4.92 tff(1369,plain,
% 7.07/4.92 (~always3(s6)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[817, 1368])).
% 7.07/4.92 tff(1370,plain,
% 7.07/4.92 (~always3(s5)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[693, 1369])).
% 7.07/4.92 tff(1371,plain,
% 7.07/4.92 (~always3(s4)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[484, 1370])).
% 7.07/4.92 tff(1372,plain,
% 7.07/4.92 (~always3(s3)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[333, 1371])).
% 7.07/4.92 tff(1373,plain,
% 7.07/4.92 (~always3(s2)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[398, 1372])).
% 7.07/4.92 tff(1374,plain,
% 7.07/4.92 (~always3(s1)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[410, 1373])).
% 7.07/4.92 tff(1375,plain,
% 7.07/4.92 (~node4(s1)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[414, 16, 1374])).
% 7.07/4.92 tff(1376,plain,
% 7.07/4.92 (~always3(s0)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[426, 1374])).
% 7.07/4.92 tff(1377,plain,
% 7.07/4.92 (~node4(s0)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[430, 16, 1376])).
% 7.07/4.92 tff(1378,plain,
% 7.07/4.92 (xuntil6(s0)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[441, 1377])).
% 7.07/4.92 tff(1379,plain,
% 7.07/4.92 (until5(s1)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[446, 1378])).
% 7.07/4.92 tff(1380,plain,
% 7.07/4.92 (xuntil6(s1)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[453, 352, 1379, 1375])).
% 7.07/4.92 tff(1381,plain,
% 7.07/4.92 (until5(s2)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[458, 1380])).
% 7.07/4.92 tff(1382,plain,
% 7.07/4.92 (~node4(s2)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[462, 16, 1373])).
% 7.07/4.92 tff(1383,plain,
% 7.07/4.92 (xuntil6(s2) | (~until5(s2))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[469, 352, 1382])).
% 7.07/4.92 tff(1384,plain,
% 7.07/4.92 (xuntil6(s2)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1383, 1381])).
% 7.07/4.92 tff(1385,plain,
% 7.07/4.92 (until5(s3)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[389, 1384])).
% 7.07/4.92 tff(1386,plain,
% 7.07/4.92 (~node4(s3)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[337, 16, 1372])).
% 7.07/4.92 tff(1387,plain,
% 7.07/4.92 (xuntil6(s3) | (~until5(s3))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[381, 352, 1386])).
% 7.07/4.92 tff(1388,plain,
% 7.07/4.92 (xuntil6(s3)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1387, 1385])).
% 7.07/4.92 tff(1389,plain,
% 7.07/4.92 (until5(s4)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[374, 1388])).
% 7.07/4.92 tff(1390,plain,
% 7.07/4.92 (~node4(s4)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[341, 16, 1371])).
% 7.07/4.92 tff(1391,plain,
% 7.07/4.92 (xuntil6(s4) | (~until5(s4))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[358, 352, 1390])).
% 7.07/4.92 tff(1392,plain,
% 7.07/4.92 (xuntil6(s4)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1391, 1389])).
% 7.07/4.92 tff(1393,plain,
% 7.07/4.92 (until5(s5)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[672, 1392])).
% 7.07/4.92 tff(1394,plain,
% 7.07/4.92 (~node4(s5)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[681, 16, 1370])).
% 7.07/4.92 tff(1395,plain,
% 7.07/4.92 (xuntil6(s5) | (~until5(s5))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[722, 352, 1394])).
% 7.07/4.92 tff(1396,plain,
% 7.07/4.92 (xuntil6(s5)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1395, 1393])).
% 7.07/4.92 tff(1397,plain,
% 7.07/4.92 (until5(s6)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[728, 1396])).
% 7.07/4.92 tff(1398,plain,
% 7.07/4.92 (~node4(s6)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[821, 16, 1369])).
% 7.07/4.92 tff(1399,plain,
% 7.07/4.92 (xuntil6(s6) | (~until5(s6))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[828, 352, 1398])).
% 7.07/4.92 tff(1400,plain,
% 7.07/4.92 (xuntil6(s6)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1399, 1397])).
% 7.07/4.92 tff(1401,plain,
% 7.07/4.92 (until5(s7)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[808, 1400])).
% 7.07/4.92 tff(1402,plain,
% 7.07/4.92 (~node4(s7)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[792, 16, 1368])).
% 7.07/4.92 tff(1403,plain,
% 7.07/4.92 (xuntil6(s7) | (~until5(s7))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[799, 352, 1402])).
% 7.07/4.92 tff(1404,plain,
% 7.07/4.92 (xuntil6(s7)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1403, 1401])).
% 7.07/4.92 tff(1405,plain,
% 7.07/4.92 ($false),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[779, 1404, 1367])).
% 7.07/4.92 tff(1406,plain,(always3(s15) | xuntil6(s15)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.92 tff(1407,plain,
% 7.07/4.92 (always3(s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1406, 1320])).
% 7.07/4.92 tff(1408,plain,
% 7.07/4.92 (succ(s15, s16) <=> succ(s15, s16)),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1409,axiom,(succ(s15, s16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound16')).
% 7.07/4.92 tff(1410,plain,
% 7.07/4.92 (succ(s15, s16)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1409, 1408])).
% 7.07/4.92 tff(1411,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1412,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1413,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 7.07/4.92 tff(1414,plain,
% 7.07/4.92 (trans(s15, s16)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1413, 1410, 39])).
% 7.07/4.92 tff(1415,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1416,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s15, s16)) | (~always3(s15)) | always3(s16))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1417,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s15, s16)) | (~always3(s15)) | always3(s16)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 7.07/4.92 tff(1418,plain,
% 7.07/4.92 ((~always3(s15)) | always3(s16)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1417, 112, 1414])).
% 7.07/4.92 tff(1419,plain,
% 7.07/4.92 (always3(s16)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1418, 1407])).
% 7.07/4.92 tff(1420,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1421,plain,
% 7.07/4.92 (((~m_main_v_state(s16, c_busy)) | (~always3(s16))) <=> ((~always3(s16)) | (~m_main_v_state(s16, c_busy)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1422,plain,
% 7.07/4.92 (((~![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))))),
% 7.07/4.92 inference(monotonicity,[status(thm)],[1421])).
% 7.07/4.92 tff(1423,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(transitivity,[status(thm)],[1422, 1420])).
% 7.07/4.92 tff(1424,plain,
% 7.07/4.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s16, c_busy)) | (~always3(s16)))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1425,plain,
% 7.07/4.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s16)) | (~m_main_v_state(s16, c_busy))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 7.07/4.92 tff(1426,plain,
% 7.07/4.92 (~m_main_v_state(s16, c_busy)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1425, 72, 1419])).
% 7.07/4.92 tff(1427,assumption,(until5(s15)), introduced(assumption)).
% 7.07/4.92 tff(1428,plain,
% 7.07/4.92 (xuntil6(s15) | node4(s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1333, 352, 1427])).
% 7.07/4.92 tff(1429,plain,
% 7.07/4.92 (node4(s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1428, 1320])).
% 7.07/4.92 tff(1430,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1431,plain,
% 7.07/4.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s15) | (~node4(s15)))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1432,plain,
% 7.07/4.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s15) | (~node4(s15))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1431, 1430])).
% 7.07/4.92 tff(1433,plain,
% 7.07/4.92 (m_main_v_request(s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1432, 28, 1429])).
% 7.07/4.92 tff(1434,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1435,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s15, s16)) | node2(s15, s16))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1436,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s15, s16)) | node2(s15, s16)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1435, 1434])).
% 7.07/4.92 tff(1437,plain,
% 7.07/4.92 (node2(s15, s16)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1436, 7, 1414])).
% 7.07/4.92 tff(1438,plain,
% 7.07/4.92 (((~![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(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)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1439,plain,
% 7.07/4.92 ((~![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(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15)))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1440,plain,
% 7.07/4.92 ((~![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(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 7.07/4.92 tff(1441,plain,
% 7.07/4.92 ((~m_main_v_state(s15, c_ready)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1440, 60, 1437])).
% 7.07/4.92 tff(1442,plain,
% 7.07/4.92 (~m_main_v_state(s15, c_ready)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1441, 1433, 1426])).
% 7.07/4.92 tff(1443,plain,
% 7.07/4.92 (~m_main_v_state(s15, c_busy)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1290, 72, 1407])).
% 7.07/4.92 tff(1444,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1445,plain,
% 7.07/4.92 ((~![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))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1446,plain,
% 7.07/4.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s15, c_busy) | m_main_v_state(s15, c_ready)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1445, 1444])).
% 7.07/4.92 tff(1447,plain,
% 7.07/4.92 ($false),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1446, 89, 1443, 1442])).
% 7.07/4.92 tff(1448,plain,(xuntil6(s15) | (~until5(s15))), inference(lemma,lemma(discharge,[]))).
% 7.07/4.92 tff(1449,plain,
% 7.07/4.92 (xuntil6(s15)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1448, 1319])).
% 7.07/4.92 tff(1450,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1451,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1452,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1451, 1450])).
% 7.07/4.92 tff(1453,plain,
% 7.07/4.92 ((~xuntil6(s15)) | until5(s16)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1452, 1410, 370])).
% 7.07/4.92 tff(1454,plain,
% 7.07/4.92 (until5(s16)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1453, 1449])).
% 7.07/4.92 tff(1455,assumption,(until5(s16)), introduced(assumption)).
% 7.07/4.92 tff(1456,assumption,(~xuntil6(s17)), introduced(assumption)).
% 7.07/4.92 tff(1457,assumption,(~always3(s17)), introduced(assumption)).
% 7.07/4.92 tff(1458,plain,
% 7.07/4.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1459,plain,
% 7.07/4.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1460,plain,
% 7.07/4.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 7.07/4.92 tff(1461,plain,
% 7.07/4.92 (~node4(s17)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1460, 16, 1457])).
% 7.07/4.92 tff(1462,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1463,plain,
% 7.07/4.92 ((node4(s17) | (~until5(s17)) | xuntil6(s17)) <=> (xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1464,plain,
% 7.07/4.92 (((~![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))))),
% 7.07/4.92 inference(monotonicity,[status(thm)],[1463])).
% 7.07/4.92 tff(1465,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(transitivity,[status(thm)],[1464, 1462])).
% 7.07/4.92 tff(1466,plain,
% 7.07/4.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1467,plain,
% 7.07/4.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1466, 1465])).
% 7.07/4.92 tff(1468,plain,
% 7.07/4.92 (node4(s17) | (~until5(s17))),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1467, 352, 1456])).
% 7.07/4.92 tff(1469,plain,
% 7.07/4.92 (~until5(s17)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1468, 1461])).
% 7.07/4.92 tff(1470,plain,
% 7.07/4.92 (succ(s16, s17) <=> succ(s16, s17)),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1471,axiom,(succ(s16, s17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound17')).
% 7.07/4.92 tff(1472,plain,
% 7.07/4.92 (succ(s16, s17)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 7.07/4.92 tff(1473,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1474,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1475,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 7.07/4.92 tff(1476,plain,
% 7.07/4.92 (trans(s16, s17)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1475, 1472, 39])).
% 7.07/4.92 tff(1477,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1478,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s16, s17)) | (~always3(s16)) | always3(s17))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1479,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s16, s17)) | (~always3(s16)) | always3(s17)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1478, 1477])).
% 7.07/4.92 tff(1480,plain,
% 7.07/4.92 ((~always3(s16)) | always3(s17)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1479, 112, 1476])).
% 7.07/4.92 tff(1481,plain,
% 7.07/4.92 (~always3(s16)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1480, 1457])).
% 7.07/4.92 tff(1482,plain,
% 7.07/4.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s16) | (~node4(s16)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s16) | (~node4(s16)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1483,plain,
% 7.07/4.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s16) | (~node4(s16)))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1484,plain,
% 7.07/4.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s16) | (~node4(s16))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 7.07/4.92 tff(1485,plain,
% 7.07/4.92 (~node4(s16)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1484, 16, 1481])).
% 7.07/4.92 tff(1486,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1487,plain,
% 7.07/4.92 ((node4(s16) | (~until5(s16)) | xuntil6(s16)) <=> (xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1488,plain,
% 7.07/4.92 (((~![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))))),
% 7.07/4.92 inference(monotonicity,[status(thm)],[1487])).
% 7.07/4.92 tff(1489,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.92 inference(transitivity,[status(thm)],[1488, 1486])).
% 7.07/4.92 tff(1490,plain,
% 7.07/4.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1491,plain,
% 7.07/4.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16))),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1490, 1489])).
% 7.07/4.92 tff(1492,plain,
% 7.07/4.92 (xuntil6(s16) | node4(s16)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1491, 352, 1455])).
% 7.07/4.92 tff(1493,plain,
% 7.07/4.92 (xuntil6(s16)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1492, 1485])).
% 7.07/4.92 tff(1494,plain,
% 7.07/4.92 (((~![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))),
% 7.07/4.92 inference(rewrite,[status(thm)],[])).
% 7.07/4.92 tff(1495,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))),
% 7.07/4.92 inference(quant_inst,[status(thm)],[])).
% 7.07/4.92 tff(1496,plain,
% 7.07/4.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17)),
% 7.07/4.92 inference(modus_ponens,[status(thm)],[1495, 1494])).
% 7.07/4.92 tff(1497,plain,
% 7.07/4.92 ((~xuntil6(s16)) | until5(s17)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1496, 1472, 370])).
% 7.07/4.92 tff(1498,plain,
% 7.07/4.92 ($false),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1497, 1493, 1469])).
% 7.07/4.92 tff(1499,plain,(always3(s17) | (~until5(s16)) | xuntil6(s17)), inference(lemma,lemma(discharge,[]))).
% 7.07/4.92 tff(1500,plain,
% 7.07/4.92 (always3(s17)),
% 7.07/4.92 inference(unit_resolution,[status(thm)],[1499, 1456, 1455])).
% 7.07/4.92 tff(1501,plain,
% 7.07/4.92 (((~![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)))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1502,plain,
% 7.07/4.93 (((~m_main_v_state(s17, c_busy)) | (~always3(s17))) <=> ((~always3(s17)) | (~m_main_v_state(s17, c_busy)))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1503,plain,
% 7.07/4.93 (((~![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))))),
% 7.07/4.93 inference(monotonicity,[status(thm)],[1502])).
% 7.07/4.93 tff(1504,plain,
% 7.07/4.93 (((~![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)))),
% 7.07/4.93 inference(transitivity,[status(thm)],[1503, 1501])).
% 7.07/4.93 tff(1505,plain,
% 7.07/4.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s17, c_busy)) | (~always3(s17)))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1506,plain,
% 7.07/4.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s17)) | (~m_main_v_state(s17, c_busy))),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1505, 1504])).
% 7.07/4.93 tff(1507,plain,
% 7.07/4.93 (~m_main_v_state(s17, c_busy)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1506, 72, 1500])).
% 7.07/4.93 tff(1508,plain,
% 7.07/4.93 (succ(s17, s18) <=> succ(s17, s18)),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1509,axiom,(succ(s17, s18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound18')).
% 7.07/4.93 tff(1510,plain,
% 7.07/4.93 (succ(s17, s18)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 7.07/4.93 tff(1511,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1512,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1513,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 7.07/4.93 tff(1514,plain,
% 7.07/4.93 (trans(s17, s18)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1513, 1510, 39])).
% 7.07/4.93 tff(1515,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1516,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s17, s18)) | (~always3(s17)) | always3(s18))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1517,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s17, s18)) | (~always3(s17)) | always3(s18)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1516, 1515])).
% 7.07/4.93 tff(1518,plain,
% 7.07/4.93 ((~always3(s17)) | always3(s18)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1517, 112, 1514])).
% 7.07/4.93 tff(1519,plain,
% 7.07/4.93 (always3(s18)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1518, 1500])).
% 7.07/4.93 tff(1520,plain,
% 7.07/4.93 (~m_main_v_state(s18, c_busy)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[312, 72, 1519])).
% 7.07/4.93 tff(1521,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1522,plain,
% 7.07/4.93 ((~![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))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1523,plain,
% 7.07/4.93 ((~![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)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1522, 1521])).
% 7.07/4.93 tff(1524,plain,
% 7.07/4.93 (m_main_v_state(s17, c_ready)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1523, 89, 1507])).
% 7.07/4.93 tff(1525,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1526,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s17, s18)) | node2(s17, s18))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1527,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s17, s18)) | node2(s17, s18)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1526, 1525])).
% 7.07/4.93 tff(1528,plain,
% 7.07/4.93 (node2(s17, s18)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1527, 7, 1514])).
% 7.07/4.93 tff(1529,plain,
% 7.07/4.93 (((~![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(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)))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1530,plain,
% 7.07/4.93 ((~![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(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17)))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1531,plain,
% 7.07/4.93 ((~![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(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1530, 1529])).
% 7.07/4.93 tff(1532,plain,
% 7.07/4.93 ((~m_main_v_state(s17, c_ready)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1531, 60, 1528])).
% 7.07/4.93 tff(1533,plain,
% 7.07/4.93 (~m_main_v_request(s17)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1532, 1524, 1520])).
% 7.07/4.93 tff(1534,plain,
% 7.07/4.93 (((~![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)))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1535,plain,
% 7.07/4.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s17) | (~node4(s17)))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1536,plain,
% 7.07/4.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s17) | (~node4(s17))),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1535, 1534])).
% 7.07/4.93 tff(1537,plain,
% 7.07/4.93 (~node4(s17)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1536, 28, 1533])).
% 7.07/4.93 tff(1538,plain,
% 7.07/4.93 (~until5(s17)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1468, 1537])).
% 7.07/4.93 tff(1539,plain,
% 7.07/4.93 (~xuntil6(s16)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1497, 1538])).
% 7.07/4.93 tff(1540,plain,
% 7.07/4.93 (node4(s16)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1492, 1539])).
% 7.07/4.93 tff(1541,plain,
% 7.07/4.93 (((~![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)))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1542,plain,
% 7.07/4.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s16) | (~node4(s16)))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1543,plain,
% 7.07/4.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s16) | (~node4(s16))),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 7.07/4.93 tff(1544,plain,
% 7.07/4.93 (m_main_v_request(s16)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1543, 28, 1540])).
% 7.07/4.93 tff(1545,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1546,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s16, s17)) | node2(s16, s17))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1547,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s16, s17)) | node2(s16, s17)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1546, 1545])).
% 7.07/4.93 tff(1548,plain,
% 7.07/4.93 (node2(s16, s17)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1547, 7, 1476])).
% 7.07/4.93 tff(1549,plain,
% 7.07/4.93 (((~![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(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)))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1550,plain,
% 7.07/4.93 ((~![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(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16)))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1551,plain,
% 7.07/4.93 ((~![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(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 7.07/4.93 tff(1552,plain,
% 7.07/4.93 ((~m_main_v_state(s16, c_ready)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1551, 60, 1548])).
% 7.07/4.93 tff(1553,plain,
% 7.07/4.93 (~m_main_v_state(s16, c_ready)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1552, 1544, 1507])).
% 7.07/4.93 tff(1554,plain,
% 7.07/4.93 (always3(s16)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1484, 16, 1540])).
% 7.07/4.93 tff(1555,plain,
% 7.07/4.93 (~m_main_v_state(s16, c_busy)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1425, 72, 1554])).
% 7.07/4.93 tff(1556,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1557,plain,
% 7.07/4.93 ((~![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))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1558,plain,
% 7.07/4.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1557, 1556])).
% 7.07/4.93 tff(1559,plain,
% 7.07/4.93 ($false),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1558, 89, 1555, 1553])).
% 7.07/4.93 tff(1560,plain,(xuntil6(s17) | (~until5(s16))), inference(lemma,lemma(discharge,[]))).
% 7.07/4.93 tff(1561,plain,
% 7.07/4.93 (xuntil6(s17)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1560, 1454])).
% 7.07/4.93 tff(1562,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1563,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1564,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1563, 1562])).
% 7.07/4.93 tff(1565,plain,
% 7.07/4.93 ((~xuntil6(s17)) | until5(s18)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1564, 1510, 370])).
% 7.07/4.93 tff(1566,plain,
% 7.07/4.93 (until5(s18)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1565, 1561])).
% 7.07/4.93 tff(1567,assumption,(until5(s18)), introduced(assumption)).
% 7.07/4.93 tff(1568,assumption,(~always3(s33)), introduced(assumption)).
% 7.07/4.93 tff(1569,plain,
% 7.07/4.93 (succ(s32, s33) <=> succ(s32, s33)),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1570,axiom,(succ(s32, s33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound33')).
% 7.07/4.93 tff(1571,plain,
% 7.07/4.93 (succ(s32, s33)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 7.07/4.93 tff(1572,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1573,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1574,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1573, 1572])).
% 7.07/4.93 tff(1575,plain,
% 7.07/4.93 (trans(s32, s33)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1574, 1571, 39])).
% 7.07/4.93 tff(1576,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1577,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s32, s33)) | (~always3(s32)) | always3(s33))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1578,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s32, s33)) | (~always3(s32)) | always3(s33)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1577, 1576])).
% 7.07/4.93 tff(1579,plain,
% 7.07/4.93 ((~always3(s32)) | always3(s33)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1578, 112, 1575])).
% 7.07/4.93 tff(1580,plain,
% 7.07/4.93 (~always3(s32)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1579, 1568])).
% 7.07/4.93 tff(1581,plain,
% 7.07/4.93 (succ(s31, s32) <=> succ(s31, s32)),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1582,axiom,(succ(s31, s32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound32')).
% 7.07/4.93 tff(1583,plain,
% 7.07/4.93 (succ(s31, s32)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1582, 1581])).
% 7.07/4.93 tff(1584,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1585,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1586,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1585, 1584])).
% 7.07/4.93 tff(1587,plain,
% 7.07/4.93 (trans(s31, s32)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1586, 1583, 39])).
% 7.07/4.93 tff(1588,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1589,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s31, s32)) | (~always3(s31)) | always3(s32))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1590,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s31, s32)) | (~always3(s31)) | always3(s32)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1589, 1588])).
% 7.07/4.93 tff(1591,plain,
% 7.07/4.93 ((~always3(s31)) | always3(s32)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1590, 112, 1587])).
% 7.07/4.93 tff(1592,plain,
% 7.07/4.93 (~always3(s31)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1591, 1580])).
% 7.07/4.93 tff(1593,plain,
% 7.07/4.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31)))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1594,plain,
% 7.07/4.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1595,plain,
% 7.07/4.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31))),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1594, 1593])).
% 7.07/4.93 tff(1596,plain,
% 7.07/4.93 (~node4(s31)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1595, 16, 1592])).
% 7.07/4.93 tff(1597,plain,
% 7.07/4.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33)))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1598,plain,
% 7.07/4.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1599,plain,
% 7.07/4.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33))),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 7.07/4.93 tff(1600,plain,
% 7.07/4.93 (~node4(s33)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1599, 16, 1568])).
% 7.07/4.93 tff(1601,plain,
% 7.07/4.93 (((~![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)))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1602,plain,
% 7.07/4.93 ((node4(s33) | (~until5(s33)) | xuntil6(s33)) <=> (xuntil6(s33) | node4(s33) | (~until5(s33)))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1603,plain,
% 7.07/4.93 (((~![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))))),
% 7.07/4.93 inference(monotonicity,[status(thm)],[1602])).
% 7.07/4.93 tff(1604,plain,
% 7.07/4.93 (((~![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)))),
% 7.07/4.93 inference(transitivity,[status(thm)],[1603, 1601])).
% 7.07/4.93 tff(1605,plain,
% 7.07/4.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s33) | (~until5(s33)) | xuntil6(s33))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1606,plain,
% 7.07/4.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s33) | node4(s33) | (~until5(s33))),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1605, 1604])).
% 7.07/4.93 tff(1607,plain,
% 7.07/4.93 (node4(s33) | (~until5(s33))),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1606, 352, 320])).
% 7.07/4.93 tff(1608,plain,
% 7.07/4.93 (~until5(s33)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1607, 1600])).
% 7.07/4.93 tff(1609,plain,
% 7.07/4.93 (((~![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))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1610,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.07/4.93 tff(1611,plain,
% 7.07/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33)),
% 7.07/4.93 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 7.07/4.93 tff(1612,plain,
% 7.07/4.93 ((~xuntil6(s32)) | until5(s33)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1611, 1571, 370])).
% 7.07/4.93 tff(1613,plain,
% 7.07/4.93 (~xuntil6(s32)),
% 7.07/4.93 inference(unit_resolution,[status(thm)],[1612, 1608])).
% 7.07/4.93 tff(1614,assumption,(node4(s32)), introduced(assumption)).
% 7.07/4.93 tff(1615,plain,
% 7.07/4.93 (((~![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)))),
% 7.07/4.93 inference(rewrite,[status(thm)],[])).
% 7.07/4.93 tff(1616,plain,
% 7.07/4.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s32) | (~node4(s32)))),
% 7.07/4.93 inference(quant_inst,[status(thm)],[])).
% 7.16/4.93 tff(1617,plain,
% 7.16/4.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s32) | (~node4(s32))),
% 7.16/4.93 inference(modus_ponens,[status(thm)],[1616, 1615])).
% 7.16/4.93 tff(1618,plain,
% 7.16/4.93 (m_main_v_request(s32)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1617, 28, 1614])).
% 7.16/4.93 tff(1619,plain,
% 7.16/4.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32)))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1620,plain,
% 7.16/4.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))),
% 7.16/4.93 inference(quant_inst,[status(thm)],[])).
% 7.16/4.93 tff(1621,plain,
% 7.16/4.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32))),
% 7.16/4.93 inference(modus_ponens,[status(thm)],[1620, 1619])).
% 7.16/4.93 tff(1622,plain,
% 7.16/4.93 (always3(s32)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1621, 16, 1614])).
% 7.16/4.93 tff(1623,plain,
% 7.16/4.93 (always3(s33)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1579, 1622])).
% 7.16/4.93 tff(1624,plain,
% 7.16/4.93 (((~![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)))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1625,plain,
% 7.16/4.93 (((~m_main_v_state(s33, c_busy)) | (~always3(s33))) <=> ((~always3(s33)) | (~m_main_v_state(s33, c_busy)))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1626,plain,
% 7.16/4.93 (((~![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))))),
% 7.16/4.93 inference(monotonicity,[status(thm)],[1625])).
% 7.16/4.93 tff(1627,plain,
% 7.16/4.93 (((~![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)))),
% 7.16/4.93 inference(transitivity,[status(thm)],[1626, 1624])).
% 7.16/4.93 tff(1628,plain,
% 7.16/4.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s33, c_busy)) | (~always3(s33)))),
% 7.16/4.93 inference(quant_inst,[status(thm)],[])).
% 7.16/4.93 tff(1629,plain,
% 7.16/4.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s33)) | (~m_main_v_state(s33, c_busy))),
% 7.16/4.93 inference(modus_ponens,[status(thm)],[1628, 1627])).
% 7.16/4.93 tff(1630,plain,
% 7.16/4.93 (~m_main_v_state(s33, c_busy)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1629, 72, 1623])).
% 7.16/4.93 tff(1631,plain,
% 7.16/4.93 (((~![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))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1632,plain,
% 7.16/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s32, s33)) | node2(s32, s33))),
% 7.16/4.93 inference(quant_inst,[status(thm)],[])).
% 7.16/4.93 tff(1633,plain,
% 7.16/4.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s32, s33)) | node2(s32, s33)),
% 7.16/4.93 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 7.16/4.93 tff(1634,plain,
% 7.16/4.93 (node2(s32, s33)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1633, 7, 1575])).
% 7.16/4.93 tff(1635,plain,
% 7.16/4.93 (((~![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(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)))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1636,plain,
% 7.16/4.93 ((~![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(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32)))),
% 7.16/4.93 inference(quant_inst,[status(thm)],[])).
% 7.16/4.93 tff(1637,plain,
% 7.16/4.93 ((~![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(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 7.16/4.93 inference(modus_ponens,[status(thm)],[1636, 1635])).
% 7.16/4.93 tff(1638,plain,
% 7.16/4.93 ((~m_main_v_state(s32, c_ready)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1637, 60, 1634])).
% 7.16/4.93 tff(1639,plain,
% 7.16/4.93 (~m_main_v_state(s32, c_ready)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1638, 1630, 1618])).
% 7.16/4.93 tff(1640,plain,
% 7.16/4.93 (((~![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)))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1641,plain,
% 7.16/4.93 (((~m_main_v_state(s32, c_busy)) | (~always3(s32))) <=> ((~always3(s32)) | (~m_main_v_state(s32, c_busy)))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1642,plain,
% 7.16/4.93 (((~![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))))),
% 7.16/4.93 inference(monotonicity,[status(thm)],[1641])).
% 7.16/4.93 tff(1643,plain,
% 7.16/4.93 (((~![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)))),
% 7.16/4.93 inference(transitivity,[status(thm)],[1642, 1640])).
% 7.16/4.93 tff(1644,plain,
% 7.16/4.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s32, c_busy)) | (~always3(s32)))),
% 7.16/4.93 inference(quant_inst,[status(thm)],[])).
% 7.16/4.93 tff(1645,plain,
% 7.16/4.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s32)) | (~m_main_v_state(s32, c_busy))),
% 7.16/4.93 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 7.16/4.93 tff(1646,plain,
% 7.16/4.93 (~m_main_v_state(s32, c_busy)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1645, 72, 1622])).
% 7.16/4.93 tff(1647,plain,
% 7.16/4.93 (((~![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))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1648,plain,
% 7.16/4.93 ((~![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))),
% 7.16/4.93 inference(quant_inst,[status(thm)],[])).
% 7.16/4.93 tff(1649,plain,
% 7.16/4.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready)),
% 7.16/4.93 inference(modus_ponens,[status(thm)],[1648, 1647])).
% 7.16/4.93 tff(1650,plain,
% 7.16/4.93 ($false),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1649, 89, 1646, 1639])).
% 7.16/4.93 tff(1651,plain,(~node4(s32)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.93 tff(1652,plain,
% 7.16/4.93 (((~![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)))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1653,plain,
% 7.16/4.93 ((node4(s32) | (~until5(s32)) | xuntil6(s32)) <=> (xuntil6(s32) | node4(s32) | (~until5(s32)))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1654,plain,
% 7.16/4.93 (((~![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))))),
% 7.16/4.93 inference(monotonicity,[status(thm)],[1653])).
% 7.16/4.93 tff(1655,plain,
% 7.16/4.93 (((~![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)))),
% 7.16/4.93 inference(transitivity,[status(thm)],[1654, 1652])).
% 7.16/4.93 tff(1656,plain,
% 7.16/4.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s32) | (~until5(s32)) | xuntil6(s32))),
% 7.16/4.93 inference(quant_inst,[status(thm)],[])).
% 7.16/4.93 tff(1657,plain,
% 7.16/4.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s32) | node4(s32) | (~until5(s32))),
% 7.16/4.93 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 7.16/4.93 tff(1658,plain,
% 7.16/4.93 (xuntil6(s32) | (~until5(s32))),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1657, 352, 1651])).
% 7.16/4.93 tff(1659,plain,
% 7.16/4.93 (~until5(s32)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1658, 1613])).
% 7.16/4.93 tff(1660,plain,
% 7.16/4.93 (((~![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))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1661,plain,
% 7.16/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32))),
% 7.16/4.93 inference(quant_inst,[status(thm)],[])).
% 7.16/4.93 tff(1662,plain,
% 7.16/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32)),
% 7.16/4.93 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 7.16/4.93 tff(1663,plain,
% 7.16/4.93 ((~xuntil6(s31)) | until5(s32)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1662, 1583, 370])).
% 7.16/4.93 tff(1664,plain,
% 7.16/4.93 (~xuntil6(s31)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1663, 1659])).
% 7.16/4.93 tff(1665,plain,
% 7.16/4.93 (((~![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)))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1666,plain,
% 7.16/4.93 ((node4(s31) | (~until5(s31)) | xuntil6(s31)) <=> (xuntil6(s31) | node4(s31) | (~until5(s31)))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1667,plain,
% 7.16/4.93 (((~![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))))),
% 7.16/4.93 inference(monotonicity,[status(thm)],[1666])).
% 7.16/4.93 tff(1668,plain,
% 7.16/4.93 (((~![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)))),
% 7.16/4.93 inference(transitivity,[status(thm)],[1667, 1665])).
% 7.16/4.93 tff(1669,plain,
% 7.16/4.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s31) | (~until5(s31)) | xuntil6(s31))),
% 7.16/4.93 inference(quant_inst,[status(thm)],[])).
% 7.16/4.93 tff(1670,plain,
% 7.16/4.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s31) | node4(s31) | (~until5(s31))),
% 7.16/4.93 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 7.16/4.93 tff(1671,plain,
% 7.16/4.93 (~until5(s31)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1670, 352, 1664, 1596])).
% 7.16/4.93 tff(1672,plain,
% 7.16/4.93 (((~![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))),
% 7.16/4.93 inference(rewrite,[status(thm)],[])).
% 7.16/4.93 tff(1673,plain,
% 7.16/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))),
% 7.16/4.93 inference(quant_inst,[status(thm)],[])).
% 7.16/4.93 tff(1674,plain,
% 7.16/4.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31)),
% 7.16/4.93 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 7.16/4.93 tff(1675,plain,
% 7.16/4.93 ((~xuntil6(s30)) | until5(s31)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1674, 42, 370])).
% 7.16/4.93 tff(1676,plain,
% 7.16/4.93 (~xuntil6(s30)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[1675, 1671])).
% 7.16/4.93 tff(1677,plain,
% 7.16/4.93 (~always3(s30)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[116, 1592])).
% 7.16/4.93 tff(1678,plain,
% 7.16/4.93 (~node4(s30)),
% 7.16/4.93 inference(unit_resolution,[status(thm)],[19, 16, 1677])).
% 7.16/4.93 tff(1679,plain,
% 7.16/4.93 (((~![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)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1680,plain,
% 7.16/4.94 ((node4(s30) | (~until5(s30)) | xuntil6(s30)) <=> (xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1681,plain,
% 7.16/4.94 (((~![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))))),
% 7.16/4.94 inference(monotonicity,[status(thm)],[1680])).
% 7.16/4.94 tff(1682,plain,
% 7.16/4.94 (((~![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)))),
% 7.16/4.94 inference(transitivity,[status(thm)],[1681, 1679])).
% 7.16/4.94 tff(1683,plain,
% 7.16/4.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1684,plain,
% 7.16/4.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30))),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1683, 1682])).
% 7.16/4.94 tff(1685,plain,
% 7.16/4.94 (xuntil6(s30) | (~until5(s30))),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1684, 352, 1678])).
% 7.16/4.94 tff(1686,plain,
% 7.16/4.94 (~until5(s30)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1685, 1676])).
% 7.16/4.94 tff(1687,plain,
% 7.16/4.94 (succ(s29, s30) <=> succ(s29, s30)),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1688,axiom,(succ(s29, s30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound30')).
% 7.16/4.94 tff(1689,plain,
% 7.16/4.94 (succ(s29, s30)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1688, 1687])).
% 7.16/4.94 tff(1690,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1691,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1692,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 7.16/4.94 tff(1693,plain,
% 7.16/4.94 ((~xuntil6(s29)) | until5(s30)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1692, 1689, 370])).
% 7.16/4.94 tff(1694,plain,
% 7.16/4.94 (~xuntil6(s29)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1693, 1686])).
% 7.16/4.94 tff(1695,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1696,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1697,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1696, 1695])).
% 7.16/4.94 tff(1698,plain,
% 7.16/4.94 (trans(s29, s30)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1697, 1689, 39])).
% 7.16/4.94 tff(1699,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1700,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s29, s30)) | (~always3(s29)) | always3(s30))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1701,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s29, s30)) | (~always3(s29)) | always3(s30)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 7.16/4.94 tff(1702,plain,
% 7.16/4.94 ((~always3(s29)) | always3(s30)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1701, 112, 1698])).
% 7.16/4.94 tff(1703,plain,
% 7.16/4.94 (~always3(s29)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1702, 1677])).
% 7.16/4.94 tff(1704,plain,
% 7.16/4.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s29) | (~node4(s29)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1705,plain,
% 7.16/4.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s29) | (~node4(s29)))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1706,plain,
% 7.16/4.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29))),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1705, 1704])).
% 7.16/4.94 tff(1707,plain,
% 7.16/4.94 (~node4(s29)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1706, 16, 1703])).
% 7.16/4.94 tff(1708,plain,
% 7.16/4.94 (((~![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)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1709,plain,
% 7.16/4.94 ((node4(s29) | (~until5(s29)) | xuntil6(s29)) <=> (xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1710,plain,
% 7.16/4.94 (((~![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))))),
% 7.16/4.94 inference(monotonicity,[status(thm)],[1709])).
% 7.16/4.94 tff(1711,plain,
% 7.16/4.94 (((~![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)))),
% 7.16/4.94 inference(transitivity,[status(thm)],[1710, 1708])).
% 7.16/4.94 tff(1712,plain,
% 7.16/4.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1713,plain,
% 7.16/4.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29))),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1712, 1711])).
% 7.16/4.94 tff(1714,plain,
% 7.16/4.94 (xuntil6(s29) | (~until5(s29))),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1713, 352, 1707])).
% 7.16/4.94 tff(1715,plain,
% 7.16/4.94 (~until5(s29)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1714, 1694])).
% 7.16/4.94 tff(1716,plain,
% 7.16/4.94 (succ(s28, s29) <=> succ(s28, s29)),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1717,axiom,(succ(s28, s29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound29')).
% 7.16/4.94 tff(1718,plain,
% 7.16/4.94 (succ(s28, s29)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 7.16/4.94 tff(1719,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1720,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1721,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1720, 1719])).
% 7.16/4.94 tff(1722,plain,
% 7.16/4.94 ((~xuntil6(s28)) | until5(s29)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1721, 1718, 370])).
% 7.16/4.94 tff(1723,plain,
% 7.16/4.94 (~xuntil6(s28)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1722, 1715])).
% 7.16/4.94 tff(1724,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1725,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1726,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1725, 1724])).
% 7.16/4.94 tff(1727,plain,
% 7.16/4.94 (trans(s28, s29)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1726, 1718, 39])).
% 7.16/4.94 tff(1728,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1729,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s28, s29)) | (~always3(s28)) | always3(s29))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1730,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s28, s29)) | (~always3(s28)) | always3(s29)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1729, 1728])).
% 7.16/4.94 tff(1731,plain,
% 7.16/4.94 ((~always3(s28)) | always3(s29)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1730, 112, 1727])).
% 7.16/4.94 tff(1732,plain,
% 7.16/4.94 (~always3(s28)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1731, 1703])).
% 7.16/4.94 tff(1733,plain,
% 7.16/4.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1734,plain,
% 7.16/4.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1735,plain,
% 7.16/4.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28))),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 7.16/4.94 tff(1736,plain,
% 7.16/4.94 (~node4(s28)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1735, 16, 1732])).
% 7.16/4.94 tff(1737,plain,
% 7.16/4.94 (((~![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)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1738,plain,
% 7.16/4.94 ((node4(s28) | (~until5(s28)) | xuntil6(s28)) <=> (xuntil6(s28) | node4(s28) | (~until5(s28)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1739,plain,
% 7.16/4.94 (((~![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))))),
% 7.16/4.94 inference(monotonicity,[status(thm)],[1738])).
% 7.16/4.94 tff(1740,plain,
% 7.16/4.94 (((~![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)))),
% 7.16/4.94 inference(transitivity,[status(thm)],[1739, 1737])).
% 7.16/4.94 tff(1741,plain,
% 7.16/4.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s28) | (~until5(s28)) | xuntil6(s28))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1742,plain,
% 7.16/4.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s28) | node4(s28) | (~until5(s28))),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1741, 1740])).
% 7.16/4.94 tff(1743,plain,
% 7.16/4.94 (xuntil6(s28) | (~until5(s28))),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1742, 352, 1736])).
% 7.16/4.94 tff(1744,plain,
% 7.16/4.94 (~until5(s28)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1743, 1723])).
% 7.16/4.94 tff(1745,plain,
% 7.16/4.94 (succ(s27, s28) <=> succ(s27, s28)),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1746,axiom,(succ(s27, s28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound28')).
% 7.16/4.94 tff(1747,plain,
% 7.16/4.94 (succ(s27, s28)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 7.16/4.94 tff(1748,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1749,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1750,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1749, 1748])).
% 7.16/4.94 tff(1751,plain,
% 7.16/4.94 ((~xuntil6(s27)) | until5(s28)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1750, 1747, 370])).
% 7.16/4.94 tff(1752,plain,
% 7.16/4.94 (~xuntil6(s27)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1751, 1744])).
% 7.16/4.94 tff(1753,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1754,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1755,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 7.16/4.94 tff(1756,plain,
% 7.16/4.94 (trans(s27, s28)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1755, 1747, 39])).
% 7.16/4.94 tff(1757,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1758,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s27, s28)) | (~always3(s27)) | always3(s28))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1759,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s27, s28)) | (~always3(s27)) | always3(s28)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1758, 1757])).
% 7.16/4.94 tff(1760,plain,
% 7.16/4.94 ((~always3(s27)) | always3(s28)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1759, 112, 1756])).
% 7.16/4.94 tff(1761,plain,
% 7.16/4.94 (~always3(s27)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1760, 1732])).
% 7.16/4.94 tff(1762,plain,
% 7.16/4.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1763,plain,
% 7.16/4.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1764,plain,
% 7.16/4.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27))),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1763, 1762])).
% 7.16/4.94 tff(1765,plain,
% 7.16/4.94 (~node4(s27)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1764, 16, 1761])).
% 7.16/4.94 tff(1766,plain,
% 7.16/4.94 (((~![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)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1767,plain,
% 7.16/4.94 ((node4(s27) | (~until5(s27)) | xuntil6(s27)) <=> (xuntil6(s27) | node4(s27) | (~until5(s27)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1768,plain,
% 7.16/4.94 (((~![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))))),
% 7.16/4.94 inference(monotonicity,[status(thm)],[1767])).
% 7.16/4.94 tff(1769,plain,
% 7.16/4.94 (((~![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)))),
% 7.16/4.94 inference(transitivity,[status(thm)],[1768, 1766])).
% 7.16/4.94 tff(1770,plain,
% 7.16/4.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s27) | (~until5(s27)) | xuntil6(s27))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1771,plain,
% 7.16/4.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s27) | node4(s27) | (~until5(s27))),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 7.16/4.94 tff(1772,plain,
% 7.16/4.94 (xuntil6(s27) | (~until5(s27))),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1771, 352, 1765])).
% 7.16/4.94 tff(1773,plain,
% 7.16/4.94 (~until5(s27)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1772, 1752])).
% 7.16/4.94 tff(1774,plain,
% 7.16/4.94 (succ(s26, s27) <=> succ(s26, s27)),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1775,axiom,(succ(s26, s27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound27')).
% 7.16/4.94 tff(1776,plain,
% 7.16/4.94 (succ(s26, s27)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1775, 1774])).
% 7.16/4.94 tff(1777,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1778,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1779,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 7.16/4.94 tff(1780,plain,
% 7.16/4.94 ((~xuntil6(s26)) | until5(s27)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1779, 1776, 370])).
% 7.16/4.94 tff(1781,plain,
% 7.16/4.94 (~xuntil6(s26)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1780, 1773])).
% 7.16/4.94 tff(1782,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1783,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1784,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1783, 1782])).
% 7.16/4.94 tff(1785,plain,
% 7.16/4.94 (trans(s26, s27)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1784, 1776, 39])).
% 7.16/4.94 tff(1786,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1787,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s26, s27)) | (~always3(s26)) | always3(s27))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1788,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s26, s27)) | (~always3(s26)) | always3(s27)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1787, 1786])).
% 7.16/4.94 tff(1789,plain,
% 7.16/4.94 ((~always3(s26)) | always3(s27)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1788, 112, 1785])).
% 7.16/4.94 tff(1790,plain,
% 7.16/4.94 (~always3(s26)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1789, 1761])).
% 7.16/4.94 tff(1791,plain,
% 7.16/4.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s26) | (~node4(s26)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1792,plain,
% 7.16/4.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s26) | (~node4(s26)))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1793,plain,
% 7.16/4.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26))),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1792, 1791])).
% 7.16/4.94 tff(1794,plain,
% 7.16/4.94 (~node4(s26)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1793, 16, 1790])).
% 7.16/4.94 tff(1795,plain,
% 7.16/4.94 (((~![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)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1796,plain,
% 7.16/4.94 ((node4(s26) | (~until5(s26)) | xuntil6(s26)) <=> (xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1797,plain,
% 7.16/4.94 (((~![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))))),
% 7.16/4.94 inference(monotonicity,[status(thm)],[1796])).
% 7.16/4.94 tff(1798,plain,
% 7.16/4.94 (((~![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)))),
% 7.16/4.94 inference(transitivity,[status(thm)],[1797, 1795])).
% 7.16/4.94 tff(1799,plain,
% 7.16/4.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s26) | (~until5(s26)) | xuntil6(s26))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1800,plain,
% 7.16/4.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s26) | node4(s26) | (~until5(s26))),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1799, 1798])).
% 7.16/4.94 tff(1801,plain,
% 7.16/4.94 (xuntil6(s26) | (~until5(s26))),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1800, 352, 1794])).
% 7.16/4.94 tff(1802,plain,
% 7.16/4.94 (~until5(s26)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1801, 1781])).
% 7.16/4.94 tff(1803,plain,
% 7.16/4.94 (succ(s25, s26) <=> succ(s25, s26)),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1804,axiom,(succ(s25, s26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound26')).
% 7.16/4.94 tff(1805,plain,
% 7.16/4.94 (succ(s25, s26)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1804, 1803])).
% 7.16/4.94 tff(1806,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1807,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1808,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1807, 1806])).
% 7.16/4.94 tff(1809,plain,
% 7.16/4.94 ((~xuntil6(s25)) | until5(s26)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1808, 1805, 370])).
% 7.16/4.94 tff(1810,plain,
% 7.16/4.94 (~xuntil6(s25)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1809, 1802])).
% 7.16/4.94 tff(1811,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1812,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1813,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1812, 1811])).
% 7.16/4.94 tff(1814,plain,
% 7.16/4.94 (trans(s25, s26)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1813, 1805, 39])).
% 7.16/4.94 tff(1815,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1816,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s25, s26)) | (~always3(s25)) | always3(s26))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1817,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s25, s26)) | (~always3(s25)) | always3(s26)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1816, 1815])).
% 7.16/4.94 tff(1818,plain,
% 7.16/4.94 ((~always3(s25)) | always3(s26)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1817, 112, 1814])).
% 7.16/4.94 tff(1819,plain,
% 7.16/4.94 (~always3(s25)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1818, 1790])).
% 7.16/4.94 tff(1820,plain,
% 7.16/4.94 (succ(s24, s25) <=> succ(s24, s25)),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1821,axiom,(succ(s24, s25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound25')).
% 7.16/4.94 tff(1822,plain,
% 7.16/4.94 (succ(s24, s25)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1821, 1820])).
% 7.16/4.94 tff(1823,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1824,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1825,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1824, 1823])).
% 7.16/4.94 tff(1826,plain,
% 7.16/4.94 (trans(s24, s25)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1825, 1822, 39])).
% 7.16/4.94 tff(1827,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1828,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s24, s25)) | (~always3(s24)) | always3(s25))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1829,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s24, s25)) | (~always3(s24)) | always3(s25)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 7.16/4.94 tff(1830,plain,
% 7.16/4.94 ((~always3(s24)) | always3(s25)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1829, 112, 1826])).
% 7.16/4.94 tff(1831,plain,
% 7.16/4.94 (~always3(s24)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1830, 1819])).
% 7.16/4.94 tff(1832,plain,
% 7.16/4.94 (succ(s23, s24) <=> succ(s23, s24)),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1833,axiom,(succ(s23, s24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound24')).
% 7.16/4.94 tff(1834,plain,
% 7.16/4.94 (succ(s23, s24)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 7.16/4.94 tff(1835,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1836,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1837,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1836, 1835])).
% 7.16/4.94 tff(1838,plain,
% 7.16/4.94 (trans(s23, s24)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1837, 1834, 39])).
% 7.16/4.94 tff(1839,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1840,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s23, s24)) | (~always3(s23)) | always3(s24))),
% 7.16/4.94 inference(quant_inst,[status(thm)],[])).
% 7.16/4.94 tff(1841,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s23, s24)) | (~always3(s23)) | always3(s24)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 7.16/4.94 tff(1842,plain,
% 7.16/4.94 ((~always3(s23)) | always3(s24)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1841, 112, 1838])).
% 7.16/4.94 tff(1843,plain,
% 7.16/4.94 (~always3(s23)),
% 7.16/4.94 inference(unit_resolution,[status(thm)],[1842, 1831])).
% 7.16/4.94 tff(1844,plain,
% 7.16/4.94 (succ(s22, s23) <=> succ(s22, s23)),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1845,axiom,(succ(s22, s23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound23')).
% 7.16/4.94 tff(1846,plain,
% 7.16/4.94 (succ(s22, s23)),
% 7.16/4.94 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 7.16/4.94 tff(1847,plain,
% 7.16/4.94 (((~![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))),
% 7.16/4.94 inference(rewrite,[status(thm)],[])).
% 7.16/4.94 tff(1848,plain,
% 7.16/4.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1849,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 7.16/4.95 tff(1850,plain,
% 7.16/4.95 (trans(s22, s23)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1849, 1846, 39])).
% 7.16/4.95 tff(1851,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1852,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s22, s23)) | (~always3(s22)) | always3(s23))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1853,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s22, s23)) | (~always3(s22)) | always3(s23)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 7.16/4.95 tff(1854,plain,
% 7.16/4.95 ((~always3(s22)) | always3(s23)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1853, 112, 1850])).
% 7.16/4.95 tff(1855,plain,
% 7.16/4.95 (~always3(s22)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1854, 1843])).
% 7.16/4.95 tff(1856,plain,
% 7.16/4.95 (~always3(s21)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[240, 1855])).
% 7.16/4.95 tff(1857,plain,
% 7.16/4.95 (succ(s20, s21) <=> succ(s20, s21)),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1858,axiom,(succ(s20, s21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound21')).
% 7.16/4.95 tff(1859,plain,
% 7.16/4.95 (succ(s20, s21)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1858, 1857])).
% 7.16/4.95 tff(1860,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1861,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1862,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 7.16/4.95 tff(1863,plain,
% 7.16/4.95 (trans(s20, s21)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1862, 1859, 39])).
% 7.16/4.95 tff(1864,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1865,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s20, s21)) | (~always3(s20)) | always3(s21))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1866,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s20, s21)) | (~always3(s20)) | always3(s21)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1865, 1864])).
% 7.16/4.95 tff(1867,plain,
% 7.16/4.95 ((~always3(s20)) | always3(s21)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1866, 112, 1863])).
% 7.16/4.95 tff(1868,plain,
% 7.16/4.95 (~always3(s20)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1867, 1856])).
% 7.16/4.95 tff(1869,plain,
% 7.16/4.95 (succ(s19, s20) <=> succ(s19, s20)),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1870,axiom,(succ(s19, s20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound20')).
% 7.16/4.95 tff(1871,plain,
% 7.16/4.95 (succ(s19, s20)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 7.16/4.95 tff(1872,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1873,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1874,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1873, 1872])).
% 7.16/4.95 tff(1875,plain,
% 7.16/4.95 (trans(s19, s20)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1874, 1871, 39])).
% 7.16/4.95 tff(1876,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1877,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s19, s20)) | (~always3(s19)) | always3(s20))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1878,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s19, s20)) | (~always3(s19)) | always3(s20)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1877, 1876])).
% 7.16/4.95 tff(1879,plain,
% 7.16/4.95 ((~always3(s19)) | always3(s20)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1878, 112, 1875])).
% 7.16/4.95 tff(1880,plain,
% 7.16/4.95 (~always3(s19)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1879, 1868])).
% 7.16/4.95 tff(1881,plain,
% 7.16/4.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1882,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1883,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1882, 1881])).
% 7.16/4.95 tff(1884,plain,
% 7.16/4.95 (~node4(s19)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1883, 16, 1880])).
% 7.16/4.95 tff(1885,plain,
% 7.16/4.95 (~always3(s18)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[289, 1880])).
% 7.16/4.95 tff(1886,plain,
% 7.16/4.95 (~node4(s18)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[277, 16, 1885])).
% 7.16/4.95 tff(1887,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1888,plain,
% 7.16/4.95 ((node4(s18) | (~until5(s18)) | xuntil6(s18)) <=> (xuntil6(s18) | node4(s18) | (~until5(s18)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1889,plain,
% 7.16/4.95 (((~![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))))),
% 7.16/4.95 inference(monotonicity,[status(thm)],[1888])).
% 7.16/4.95 tff(1890,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(transitivity,[status(thm)],[1889, 1887])).
% 7.16/4.95 tff(1891,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s18) | (~until5(s18)) | xuntil6(s18))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1892,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s18) | node4(s18) | (~until5(s18))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1891, 1890])).
% 7.16/4.95 tff(1893,plain,
% 7.16/4.95 (xuntil6(s18) | node4(s18)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1892, 352, 1567])).
% 7.16/4.95 tff(1894,plain,
% 7.16/4.95 (xuntil6(s18)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1893, 1886])).
% 7.16/4.95 tff(1895,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1896,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1897,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 7.16/4.95 tff(1898,plain,
% 7.16/4.95 ((~xuntil6(s18)) | until5(s19)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1897, 281, 370])).
% 7.16/4.95 tff(1899,plain,
% 7.16/4.95 (until5(s19)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1898, 1894])).
% 7.16/4.95 tff(1900,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1901,plain,
% 7.16/4.95 ((node4(s19) | (~until5(s19)) | xuntil6(s19)) <=> (xuntil6(s19) | node4(s19) | (~until5(s19)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1902,plain,
% 7.16/4.95 (((~![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))))),
% 7.16/4.95 inference(monotonicity,[status(thm)],[1901])).
% 7.16/4.95 tff(1903,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(transitivity,[status(thm)],[1902, 1900])).
% 7.16/4.95 tff(1904,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s19) | (~until5(s19)) | xuntil6(s19))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1905,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s19) | node4(s19) | (~until5(s19))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1904, 1903])).
% 7.16/4.95 tff(1906,plain,
% 7.16/4.95 (xuntil6(s19)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1905, 352, 1899, 1884])).
% 7.16/4.95 tff(1907,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1908,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1909,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1908, 1907])).
% 7.16/4.95 tff(1910,plain,
% 7.16/4.95 ((~xuntil6(s19)) | until5(s20)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1909, 1871, 370])).
% 7.16/4.95 tff(1911,plain,
% 7.16/4.95 (until5(s20)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1910, 1906])).
% 7.16/4.95 tff(1912,plain,
% 7.16/4.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1913,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1914,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1913, 1912])).
% 7.16/4.95 tff(1915,plain,
% 7.16/4.95 (~node4(s20)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1914, 16, 1868])).
% 7.16/4.95 tff(1916,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1917,plain,
% 7.16/4.95 ((node4(s20) | (~until5(s20)) | xuntil6(s20)) <=> (xuntil6(s20) | node4(s20) | (~until5(s20)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1918,plain,
% 7.16/4.95 (((~![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))))),
% 7.16/4.95 inference(monotonicity,[status(thm)],[1917])).
% 7.16/4.95 tff(1919,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(transitivity,[status(thm)],[1918, 1916])).
% 7.16/4.95 tff(1920,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s20) | (~until5(s20)) | xuntil6(s20))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1921,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s20) | node4(s20) | (~until5(s20))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1920, 1919])).
% 7.16/4.95 tff(1922,plain,
% 7.16/4.95 (xuntil6(s20) | (~until5(s20))),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1921, 352, 1915])).
% 7.16/4.95 tff(1923,plain,
% 7.16/4.95 (xuntil6(s20)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1922, 1911])).
% 7.16/4.95 tff(1924,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1925,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1926,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 7.16/4.95 tff(1927,plain,
% 7.16/4.95 ((~xuntil6(s20)) | until5(s21)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1926, 1859, 370])).
% 7.16/4.95 tff(1928,plain,
% 7.16/4.95 (until5(s21)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1927, 1923])).
% 7.16/4.95 tff(1929,plain,
% 7.16/4.95 (~node4(s21)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[228, 16, 1856])).
% 7.16/4.95 tff(1930,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1931,plain,
% 7.16/4.95 ((node4(s21) | (~until5(s21)) | xuntil6(s21)) <=> (xuntil6(s21) | node4(s21) | (~until5(s21)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1932,plain,
% 7.16/4.95 (((~![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))))),
% 7.16/4.95 inference(monotonicity,[status(thm)],[1931])).
% 7.16/4.95 tff(1933,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(transitivity,[status(thm)],[1932, 1930])).
% 7.16/4.95 tff(1934,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s21) | (~until5(s21)) | xuntil6(s21))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1935,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s21) | node4(s21) | (~until5(s21))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1934, 1933])).
% 7.16/4.95 tff(1936,plain,
% 7.16/4.95 (xuntil6(s21) | (~until5(s21))),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1935, 352, 1929])).
% 7.16/4.95 tff(1937,plain,
% 7.16/4.95 (xuntil6(s21)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1936, 1928])).
% 7.16/4.95 tff(1938,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1939,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1940,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1939, 1938])).
% 7.16/4.95 tff(1941,plain,
% 7.16/4.95 ((~xuntil6(s21)) | until5(s22)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1940, 232, 370])).
% 7.16/4.95 tff(1942,plain,
% 7.16/4.95 (until5(s22)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1941, 1937])).
% 7.16/4.95 tff(1943,plain,
% 7.16/4.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1944,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1945,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 7.16/4.95 tff(1946,plain,
% 7.16/4.95 (~node4(s22)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1945, 16, 1855])).
% 7.16/4.95 tff(1947,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1948,plain,
% 7.16/4.95 ((node4(s22) | (~until5(s22)) | xuntil6(s22)) <=> (xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1949,plain,
% 7.16/4.95 (((~![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))))),
% 7.16/4.95 inference(monotonicity,[status(thm)],[1948])).
% 7.16/4.95 tff(1950,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(transitivity,[status(thm)],[1949, 1947])).
% 7.16/4.95 tff(1951,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1952,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1951, 1950])).
% 7.16/4.95 tff(1953,plain,
% 7.16/4.95 (xuntil6(s22) | (~until5(s22))),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1952, 352, 1946])).
% 7.16/4.95 tff(1954,plain,
% 7.16/4.95 (xuntil6(s22)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1953, 1942])).
% 7.16/4.95 tff(1955,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1956,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1957,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 7.16/4.95 tff(1958,plain,
% 7.16/4.95 ((~xuntil6(s22)) | until5(s23)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1957, 1846, 370])).
% 7.16/4.95 tff(1959,plain,
% 7.16/4.95 (until5(s23)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1958, 1954])).
% 7.16/4.95 tff(1960,plain,
% 7.16/4.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s23) | (~node4(s23)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s23) | (~node4(s23)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1961,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s23) | (~node4(s23)))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1962,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s23) | (~node4(s23))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1961, 1960])).
% 7.16/4.95 tff(1963,plain,
% 7.16/4.95 (~node4(s23)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1962, 16, 1843])).
% 7.16/4.95 tff(1964,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1965,plain,
% 7.16/4.95 ((node4(s23) | (~until5(s23)) | xuntil6(s23)) <=> (xuntil6(s23) | node4(s23) | (~until5(s23)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1966,plain,
% 7.16/4.95 (((~![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))))),
% 7.16/4.95 inference(monotonicity,[status(thm)],[1965])).
% 7.16/4.95 tff(1967,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(transitivity,[status(thm)],[1966, 1964])).
% 7.16/4.95 tff(1968,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s23) | (~until5(s23)) | xuntil6(s23))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1969,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s23) | node4(s23) | (~until5(s23))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 7.16/4.95 tff(1970,plain,
% 7.16/4.95 (xuntil6(s23) | (~until5(s23))),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1969, 352, 1963])).
% 7.16/4.95 tff(1971,plain,
% 7.16/4.95 (xuntil6(s23)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1970, 1959])).
% 7.16/4.95 tff(1972,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1973,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1974,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1973, 1972])).
% 7.16/4.95 tff(1975,plain,
% 7.16/4.95 ((~xuntil6(s23)) | until5(s24)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1974, 1834, 370])).
% 7.16/4.95 tff(1976,plain,
% 7.16/4.95 (until5(s24)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1975, 1971])).
% 7.16/4.95 tff(1977,plain,
% 7.16/4.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1978,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1979,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1978, 1977])).
% 7.16/4.95 tff(1980,plain,
% 7.16/4.95 (~node4(s24)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1979, 16, 1831])).
% 7.16/4.95 tff(1981,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1982,plain,
% 7.16/4.95 ((node4(s24) | (~until5(s24)) | xuntil6(s24)) <=> (xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1983,plain,
% 7.16/4.95 (((~![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))))),
% 7.16/4.95 inference(monotonicity,[status(thm)],[1982])).
% 7.16/4.95 tff(1984,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(transitivity,[status(thm)],[1983, 1981])).
% 7.16/4.95 tff(1985,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s24) | (~until5(s24)) | xuntil6(s24))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1986,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s24) | node4(s24) | (~until5(s24))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1985, 1984])).
% 7.16/4.95 tff(1987,plain,
% 7.16/4.95 (xuntil6(s24) | (~until5(s24))),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1986, 352, 1980])).
% 7.16/4.95 tff(1988,plain,
% 7.16/4.95 (xuntil6(s24)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1987, 1976])).
% 7.16/4.95 tff(1989,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1990,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1991,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1990, 1989])).
% 7.16/4.95 tff(1992,plain,
% 7.16/4.95 ((~xuntil6(s24)) | until5(s25)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1991, 1822, 370])).
% 7.16/4.95 tff(1993,plain,
% 7.16/4.95 (until5(s25)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1992, 1988])).
% 7.16/4.95 tff(1994,plain,
% 7.16/4.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s25) | (~node4(s25)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s25) | (~node4(s25)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1995,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s25) | (~node4(s25)))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(1996,plain,
% 7.16/4.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s25) | (~node4(s25))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[1995, 1994])).
% 7.16/4.95 tff(1997,plain,
% 7.16/4.95 (~node4(s25)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1996, 16, 1819])).
% 7.16/4.95 tff(1998,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(1999,plain,
% 7.16/4.95 ((node4(s25) | (~until5(s25)) | xuntil6(s25)) <=> (xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(2000,plain,
% 7.16/4.95 (((~![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))))),
% 7.16/4.95 inference(monotonicity,[status(thm)],[1999])).
% 7.16/4.95 tff(2001,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(transitivity,[status(thm)],[2000, 1998])).
% 7.16/4.95 tff(2002,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s25) | (~until5(s25)) | xuntil6(s25))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(2003,plain,
% 7.16/4.95 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[2002, 2001])).
% 7.16/4.95 tff(2004,plain,
% 7.16/4.95 (xuntil6(s25) | (~until5(s25))),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2003, 352, 1997])).
% 7.16/4.95 tff(2005,plain,
% 7.16/4.95 ($false),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2004, 1993, 1810])).
% 7.16/4.95 tff(2006,plain,(always3(s33) | (~until5(s18)) | xuntil6(s33)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.95 tff(2007,plain,
% 7.16/4.95 (always3(s33)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2006, 320, 1567])).
% 7.16/4.95 tff(2008,plain,
% 7.16/4.95 (succ(s33, s34) <=> succ(s33, s34)),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(2009,axiom,(succ(s33, s34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound34')).
% 7.16/4.95 tff(2010,plain,
% 7.16/4.95 (succ(s33, s34)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[2009, 2008])).
% 7.16/4.95 tff(2011,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(2012,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(2013,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 7.16/4.95 tff(2014,plain,
% 7.16/4.95 (trans(s33, s34)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2013, 2010, 39])).
% 7.16/4.95 tff(2015,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(2016,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s33, s34)) | (~always3(s33)) | always3(s34))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(2017,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s33, s34)) | (~always3(s33)) | always3(s34)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[2016, 2015])).
% 7.16/4.95 tff(2018,plain,
% 7.16/4.95 ((~always3(s33)) | always3(s34)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2017, 112, 2014])).
% 7.16/4.95 tff(2019,plain,
% 7.16/4.95 (always3(s34)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2018, 2007])).
% 7.16/4.95 tff(2020,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(2021,plain,
% 7.16/4.95 (((~m_main_v_state(s34, c_busy)) | (~always3(s34))) <=> ((~always3(s34)) | (~m_main_v_state(s34, c_busy)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(2022,plain,
% 7.16/4.95 (((~![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))))),
% 7.16/4.95 inference(monotonicity,[status(thm)],[2021])).
% 7.16/4.95 tff(2023,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(transitivity,[status(thm)],[2022, 2020])).
% 7.16/4.95 tff(2024,plain,
% 7.16/4.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s34, c_busy)) | (~always3(s34)))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(2025,plain,
% 7.16/4.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s34)) | (~m_main_v_state(s34, c_busy))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 7.16/4.95 tff(2026,plain,
% 7.16/4.95 (~m_main_v_state(s34, c_busy)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2025, 72, 2019])).
% 7.16/4.95 tff(2027,assumption,(until5(s33)), introduced(assumption)).
% 7.16/4.95 tff(2028,plain,
% 7.16/4.95 (xuntil6(s33) | node4(s33)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1606, 352, 2027])).
% 7.16/4.95 tff(2029,plain,
% 7.16/4.95 (node4(s33)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2028, 320])).
% 7.16/4.95 tff(2030,plain,
% 7.16/4.95 (((~![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)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(2031,plain,
% 7.16/4.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s33) | (~node4(s33)))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(2032,plain,
% 7.16/4.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s33) | (~node4(s33))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[2031, 2030])).
% 7.16/4.95 tff(2033,plain,
% 7.16/4.95 (m_main_v_request(s33)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2032, 28, 2029])).
% 7.16/4.95 tff(2034,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(2035,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s33, s34)) | node2(s33, s34))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(2036,plain,
% 7.16/4.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s33, s34)) | node2(s33, s34)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[2035, 2034])).
% 7.16/4.95 tff(2037,plain,
% 7.16/4.95 (node2(s33, s34)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2036, 7, 2014])).
% 7.16/4.95 tff(2038,plain,
% 7.16/4.95 (((~![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(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)))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(2039,plain,
% 7.16/4.95 ((~![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(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33)))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(2040,plain,
% 7.16/4.95 ((~![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(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[2039, 2038])).
% 7.16/4.95 tff(2041,plain,
% 7.16/4.95 ((~m_main_v_state(s33, c_ready)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2040, 60, 2037])).
% 7.16/4.95 tff(2042,plain,
% 7.16/4.95 (~m_main_v_state(s33, c_ready)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2041, 2033, 2026])).
% 7.16/4.95 tff(2043,plain,
% 7.16/4.95 (~m_main_v_state(s33, c_busy)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1629, 72, 2007])).
% 7.16/4.95 tff(2044,plain,
% 7.16/4.95 (((~![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))),
% 7.16/4.95 inference(rewrite,[status(thm)],[])).
% 7.16/4.95 tff(2045,plain,
% 7.16/4.95 ((~![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))),
% 7.16/4.95 inference(quant_inst,[status(thm)],[])).
% 7.16/4.95 tff(2046,plain,
% 7.16/4.95 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready)),
% 7.16/4.95 inference(modus_ponens,[status(thm)],[2045, 2044])).
% 7.16/4.95 tff(2047,plain,
% 7.16/4.95 ($false),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2046, 89, 2043, 2042])).
% 7.16/4.95 tff(2048,plain,(xuntil6(s33) | (~until5(s33)) | (~until5(s18))), inference(lemma,lemma(discharge,[]))).
% 7.16/4.95 tff(2049,plain,
% 7.16/4.95 (xuntil6(s33) | (~until5(s33))),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2048, 1566])).
% 7.16/4.95 tff(2050,plain,
% 7.16/4.95 (~until5(s33)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2049, 320])).
% 7.16/4.95 tff(2051,plain,
% 7.16/4.95 (~xuntil6(s32)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1612, 2050])).
% 7.16/4.95 tff(2052,plain,
% 7.16/4.95 (~until5(s32)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1658, 2051])).
% 7.16/4.95 tff(2053,plain,
% 7.16/4.95 (~xuntil6(s31)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1663, 2052])).
% 7.16/4.95 tff(2054,assumption,(~always3(s31)), introduced(assumption)).
% 7.16/4.95 tff(2055,plain,
% 7.16/4.95 (~always3(s30)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[116, 2054])).
% 7.16/4.95 tff(2056,plain,
% 7.16/4.95 (~node4(s30)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[19, 16, 2055])).
% 7.16/4.95 tff(2057,plain,
% 7.16/4.95 (~node4(s31)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1595, 16, 2054])).
% 7.16/4.95 tff(2058,assumption,(~xuntil6(s31)), introduced(assumption)).
% 7.16/4.95 tff(2059,plain,
% 7.16/4.95 (node4(s31) | (~until5(s31))),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[1670, 352, 2058])).
% 7.16/4.95 tff(2060,plain,
% 7.16/4.95 (~until5(s31)),
% 7.16/4.95 inference(unit_resolution,[status(thm)],[2059, 2057])).
% 7.16/4.96 tff(2061,plain,
% 7.16/4.96 (~xuntil6(s30)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1675, 2060])).
% 7.16/4.96 tff(2062,plain,
% 7.16/4.96 (~until5(s30)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1684, 352, 2061, 2056])).
% 7.16/4.96 tff(2063,plain,
% 7.16/4.96 (~xuntil6(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1693, 2062])).
% 7.16/4.96 tff(2064,plain,
% 7.16/4.96 (~always3(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1702, 2055])).
% 7.16/4.96 tff(2065,plain,
% 7.16/4.96 (~node4(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1706, 16, 2064])).
% 7.16/4.96 tff(2066,plain,
% 7.16/4.96 (xuntil6(s29) | (~until5(s29))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1713, 352, 2065])).
% 7.16/4.96 tff(2067,plain,
% 7.16/4.96 (~until5(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2066, 2063])).
% 7.16/4.96 tff(2068,plain,
% 7.16/4.96 (~xuntil6(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1722, 2067])).
% 7.16/4.96 tff(2069,plain,
% 7.16/4.96 (~always3(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1731, 2064])).
% 7.16/4.96 tff(2070,plain,
% 7.16/4.96 (~node4(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1735, 16, 2069])).
% 7.16/4.96 tff(2071,plain,
% 7.16/4.96 (xuntil6(s28) | (~until5(s28))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1742, 352, 2070])).
% 7.16/4.96 tff(2072,plain,
% 7.16/4.96 (~until5(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2071, 2068])).
% 7.16/4.96 tff(2073,plain,
% 7.16/4.96 (~xuntil6(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1751, 2072])).
% 7.16/4.96 tff(2074,plain,
% 7.16/4.96 (~always3(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1760, 2069])).
% 7.16/4.96 tff(2075,plain,
% 7.16/4.96 (~node4(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1764, 16, 2074])).
% 7.16/4.96 tff(2076,plain,
% 7.16/4.96 (xuntil6(s27) | (~until5(s27))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1771, 352, 2075])).
% 7.16/4.96 tff(2077,plain,
% 7.16/4.96 (~until5(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2076, 2073])).
% 7.16/4.96 tff(2078,plain,
% 7.16/4.96 (~xuntil6(s26)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1780, 2077])).
% 7.16/4.96 tff(2079,plain,
% 7.16/4.96 (~always3(s26)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1789, 2074])).
% 7.16/4.96 tff(2080,plain,
% 7.16/4.96 (~node4(s26)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1793, 16, 2079])).
% 7.16/4.96 tff(2081,plain,
% 7.16/4.96 (xuntil6(s26) | (~until5(s26))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1800, 352, 2080])).
% 7.16/4.96 tff(2082,plain,
% 7.16/4.96 (~until5(s26)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2081, 2078])).
% 7.16/4.96 tff(2083,plain,
% 7.16/4.96 (~xuntil6(s25)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1809, 2082])).
% 7.16/4.96 tff(2084,plain,
% 7.16/4.96 (~always3(s25)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1818, 2079])).
% 7.16/4.96 tff(2085,plain,
% 7.16/4.96 (~node4(s25)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1996, 16, 2084])).
% 7.16/4.96 tff(2086,plain,
% 7.16/4.96 (xuntil6(s25) | (~until5(s25))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2003, 352, 2085])).
% 7.16/4.96 tff(2087,plain,
% 7.16/4.96 (~until5(s25)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2086, 2083])).
% 7.16/4.96 tff(2088,plain,
% 7.16/4.96 (~always3(s24)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1830, 2084])).
% 7.16/4.96 tff(2089,plain,
% 7.16/4.96 (~always3(s23)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1842, 2088])).
% 7.16/4.96 tff(2090,plain,
% 7.16/4.96 (~always3(s22)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1854, 2089])).
% 7.16/4.96 tff(2091,plain,
% 7.16/4.96 (~always3(s21)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[240, 2090])).
% 7.16/4.96 tff(2092,plain,
% 7.16/4.96 (~always3(s20)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1867, 2091])).
% 7.16/4.96 tff(2093,plain,
% 7.16/4.96 (~always3(s19)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1879, 2092])).
% 7.16/4.96 tff(2094,plain,
% 7.16/4.96 (~node4(s19)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1883, 16, 2093])).
% 7.16/4.96 tff(2095,plain,
% 7.16/4.96 (~always3(s18)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[289, 2093])).
% 7.16/4.96 tff(2096,plain,
% 7.16/4.96 (~node4(s18)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[277, 16, 2095])).
% 7.16/4.96 tff(2097,plain,
% 7.16/4.96 (xuntil6(s18)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1893, 2096])).
% 7.16/4.96 tff(2098,plain,
% 7.16/4.96 (until5(s19)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1898, 2097])).
% 7.16/4.96 tff(2099,plain,
% 7.16/4.96 (xuntil6(s19)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1905, 352, 2098, 2094])).
% 7.16/4.96 tff(2100,plain,
% 7.16/4.96 (until5(s20)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1910, 2099])).
% 7.16/4.96 tff(2101,plain,
% 7.16/4.96 (~node4(s20)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1914, 16, 2092])).
% 7.16/4.96 tff(2102,plain,
% 7.16/4.96 (xuntil6(s20) | (~until5(s20))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1921, 352, 2101])).
% 7.16/4.96 tff(2103,plain,
% 7.16/4.96 (xuntil6(s20)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2102, 2100])).
% 7.16/4.96 tff(2104,plain,
% 7.16/4.96 (until5(s21)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1927, 2103])).
% 7.16/4.96 tff(2105,plain,
% 7.16/4.96 (~node4(s21)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[228, 16, 2091])).
% 7.16/4.96 tff(2106,plain,
% 7.16/4.96 (xuntil6(s21) | (~until5(s21))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1935, 352, 2105])).
% 7.16/4.96 tff(2107,plain,
% 7.16/4.96 (xuntil6(s21)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2106, 2104])).
% 7.16/4.96 tff(2108,plain,
% 7.16/4.96 (until5(s22)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1941, 2107])).
% 7.16/4.96 tff(2109,plain,
% 7.16/4.96 (~node4(s22)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1945, 16, 2090])).
% 7.16/4.96 tff(2110,plain,
% 7.16/4.96 (xuntil6(s22) | (~until5(s22))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1952, 352, 2109])).
% 7.16/4.96 tff(2111,plain,
% 7.16/4.96 (xuntil6(s22)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2110, 2108])).
% 7.16/4.96 tff(2112,plain,
% 7.16/4.96 (until5(s23)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1958, 2111])).
% 7.16/4.96 tff(2113,plain,
% 7.16/4.96 (~node4(s23)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1962, 16, 2089])).
% 7.16/4.96 tff(2114,plain,
% 7.16/4.96 (xuntil6(s23) | (~until5(s23))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1969, 352, 2113])).
% 7.16/4.96 tff(2115,plain,
% 7.16/4.96 (xuntil6(s23)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2114, 2112])).
% 7.16/4.96 tff(2116,plain,
% 7.16/4.96 (until5(s24)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1975, 2115])).
% 7.16/4.96 tff(2117,plain,
% 7.16/4.96 (~node4(s24)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1979, 16, 2088])).
% 7.16/4.96 tff(2118,plain,
% 7.16/4.96 (xuntil6(s24) | (~until5(s24))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1986, 352, 2117])).
% 7.16/4.96 tff(2119,plain,
% 7.16/4.96 (xuntil6(s24)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2118, 2116])).
% 7.16/4.96 tff(2120,plain,
% 7.16/4.96 ($false),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1992, 2119, 2087])).
% 7.16/4.96 tff(2121,plain,(always3(s31) | (~until5(s18)) | xuntil6(s31)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.96 tff(2122,plain,
% 7.16/4.96 (always3(s31) | xuntil6(s31)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2121, 1566])).
% 7.16/4.96 tff(2123,plain,
% 7.16/4.96 (always3(s31)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2122, 2053])).
% 7.16/4.96 tff(2124,plain,
% 7.16/4.96 (always3(s32)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1591, 2123])).
% 7.16/4.96 tff(2125,plain,
% 7.16/4.96 (~m_main_v_state(s32, c_busy)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1645, 72, 2124])).
% 7.16/4.96 tff(2126,plain,
% 7.16/4.96 (~m_main_v_state(s31, c_busy)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[101, 72, 2123])).
% 7.16/4.96 tff(2127,plain,
% 7.16/4.96 (((~![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))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2128,plain,
% 7.16/4.96 ((~![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))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2129,plain,
% 7.16/4.96 ((~![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)),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 7.16/4.96 tff(2130,plain,
% 7.16/4.96 (m_main_v_state(s31, c_ready)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2129, 89, 2126])).
% 7.16/4.96 tff(2131,plain,
% 7.16/4.96 (((~![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))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2132,plain,
% 7.16/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s31, s32)) | node2(s31, s32))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2133,plain,
% 7.16/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s31, s32)) | node2(s31, s32)),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2132, 2131])).
% 7.16/4.96 tff(2134,plain,
% 7.16/4.96 (node2(s31, s32)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2133, 7, 1587])).
% 7.16/4.96 tff(2135,plain,
% 7.16/4.96 (((~![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(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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2136,plain,
% 7.16/4.96 ((~![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(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2137,plain,
% 7.16/4.96 ((~![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(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 7.16/4.96 tff(2138,plain,
% 7.16/4.96 ((~m_main_v_state(s31, c_ready)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2137, 60, 2134])).
% 7.16/4.96 tff(2139,plain,
% 7.16/4.96 (~m_main_v_request(s31)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2138, 2130, 2125])).
% 7.16/4.96 tff(2140,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2141,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s31) | (~node4(s31)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2142,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s31) | (~node4(s31))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2141, 2140])).
% 7.16/4.96 tff(2143,plain,
% 7.16/4.96 (~node4(s31)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2142, 28, 2139])).
% 7.16/4.96 tff(2144,plain,
% 7.16/4.96 (node4(s31) | (~until5(s31))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1670, 352, 2053])).
% 7.16/4.96 tff(2145,plain,
% 7.16/4.96 (~until5(s31)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2144, 2143])).
% 7.16/4.96 tff(2146,plain,
% 7.16/4.96 (~xuntil6(s30)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1675, 2145])).
% 7.16/4.96 tff(2147,plain,
% 7.16/4.96 (node4(s30) | (~until5(s30))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1684, 352, 2146])).
% 7.16/4.96 tff(2148,plain,
% 7.16/4.96 (~until5(s30)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2147, 319])).
% 7.16/4.96 tff(2149,plain,
% 7.16/4.96 (~xuntil6(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1693, 2148])).
% 7.16/4.96 tff(2150,assumption,(~always3(s29)), introduced(assumption)).
% 7.16/4.96 tff(2151,plain,
% 7.16/4.96 (~always3(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1731, 2150])).
% 7.16/4.96 tff(2152,plain,
% 7.16/4.96 (~always3(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1760, 2151])).
% 7.16/4.96 tff(2153,plain,
% 7.16/4.96 (~always3(s26)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1789, 2152])).
% 7.16/4.96 tff(2154,plain,
% 7.16/4.96 (~always3(s25)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1818, 2153])).
% 7.16/4.96 tff(2155,plain,
% 7.16/4.96 (~node4(s25)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1996, 16, 2154])).
% 7.16/4.96 tff(2156,plain,
% 7.16/4.96 (~node4(s26)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1793, 16, 2153])).
% 7.16/4.96 tff(2157,assumption,(~xuntil6(s29)), introduced(assumption)).
% 7.16/4.96 tff(2158,plain,
% 7.16/4.96 (~node4(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1735, 16, 2151])).
% 7.16/4.96 tff(2159,plain,
% 7.16/4.96 (~node4(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1706, 16, 2150])).
% 7.16/4.96 tff(2160,plain,
% 7.16/4.96 (node4(s29) | (~until5(s29))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1713, 352, 2157])).
% 7.16/4.96 tff(2161,plain,
% 7.16/4.96 (~until5(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2160, 2159])).
% 7.16/4.96 tff(2162,plain,
% 7.16/4.96 (~xuntil6(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1722, 2161])).
% 7.16/4.96 tff(2163,plain,
% 7.16/4.96 (~node4(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1764, 16, 2152])).
% 7.16/4.96 tff(2164,assumption,(until5(s27)), introduced(assumption)).
% 7.16/4.96 tff(2165,plain,
% 7.16/4.96 (xuntil6(s27) | node4(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1771, 352, 2164])).
% 7.16/4.96 tff(2166,plain,
% 7.16/4.96 (xuntil6(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2165, 2163])).
% 7.16/4.96 tff(2167,plain,
% 7.16/4.96 (until5(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1751, 2166])).
% 7.16/4.96 tff(2168,plain,
% 7.16/4.96 ($false),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1742, 352, 2167, 2162, 2158])).
% 7.16/4.96 tff(2169,plain,(always3(s29) | (~until5(s27)) | xuntil6(s29)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.96 tff(2170,plain,
% 7.16/4.96 (~until5(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2169, 2150, 2157])).
% 7.16/4.96 tff(2171,plain,
% 7.16/4.96 (~xuntil6(s26)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1780, 2170])).
% 7.16/4.96 tff(2172,plain,
% 7.16/4.96 (node4(s26) | (~until5(s26))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1800, 352, 2171])).
% 7.16/4.96 tff(2173,plain,
% 7.16/4.96 (~until5(s26)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2172, 2156])).
% 7.16/4.96 tff(2174,plain,
% 7.16/4.96 (~xuntil6(s25)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1809, 2173])).
% 7.16/4.96 tff(2175,plain,
% 7.16/4.96 (~until5(s25)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2003, 352, 2174, 2155])).
% 7.16/4.96 tff(2176,plain,
% 7.16/4.96 (~xuntil6(s24)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1992, 2175])).
% 7.16/4.96 tff(2177,plain,
% 7.16/4.96 (~always3(s24)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1830, 2154])).
% 7.16/4.96 tff(2178,plain,
% 7.16/4.96 (~node4(s24)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1979, 16, 2177])).
% 7.16/4.96 tff(2179,plain,
% 7.16/4.96 (xuntil6(s24) | (~until5(s24))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1986, 352, 2178])).
% 7.16/4.96 tff(2180,plain,
% 7.16/4.96 (~until5(s24)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2179, 2176])).
% 7.16/4.96 tff(2181,plain,
% 7.16/4.96 (~xuntil6(s23)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1975, 2180])).
% 7.16/4.96 tff(2182,plain,
% 7.16/4.96 (~always3(s23)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1842, 2177])).
% 7.16/4.96 tff(2183,plain,
% 7.16/4.96 (~node4(s23)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1962, 16, 2182])).
% 7.16/4.96 tff(2184,plain,
% 7.16/4.96 (xuntil6(s23) | (~until5(s23))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1969, 352, 2183])).
% 7.16/4.96 tff(2185,plain,
% 7.16/4.96 (~until5(s23)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2184, 2181])).
% 7.16/4.96 tff(2186,plain,
% 7.16/4.96 (~xuntil6(s22)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1958, 2185])).
% 7.16/4.96 tff(2187,plain,
% 7.16/4.96 (~always3(s22)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1854, 2182])).
% 7.16/4.96 tff(2188,plain,
% 7.16/4.96 (~always3(s21)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[240, 2187])).
% 7.16/4.96 tff(2189,plain,
% 7.16/4.96 (~always3(s20)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1867, 2188])).
% 7.16/4.96 tff(2190,plain,
% 7.16/4.96 (~always3(s19)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1879, 2189])).
% 7.16/4.96 tff(2191,plain,
% 7.16/4.96 (~node4(s19)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1883, 16, 2190])).
% 7.16/4.96 tff(2192,plain,
% 7.16/4.96 (~always3(s18)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[289, 2190])).
% 7.16/4.96 tff(2193,plain,
% 7.16/4.96 (~node4(s18)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[277, 16, 2192])).
% 7.16/4.96 tff(2194,plain,
% 7.16/4.96 (~always3(s17)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1518, 2192])).
% 7.16/4.96 tff(2195,plain,
% 7.16/4.96 (~always3(s16)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1480, 2194])).
% 7.16/4.96 tff(2196,plain,
% 7.16/4.96 (~always3(s15)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1418, 2195])).
% 7.16/4.96 tff(2197,plain,
% 7.16/4.96 (xuntil6(s15)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1406, 2196])).
% 7.16/4.96 tff(2198,plain,
% 7.16/4.96 (until5(s16)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1453, 2197])).
% 7.16/4.96 tff(2199,plain,
% 7.16/4.96 (xuntil6(s17)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1560, 2198])).
% 7.16/4.96 tff(2200,plain,
% 7.16/4.96 (until5(s18)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1565, 2199])).
% 7.16/4.96 tff(2201,plain,
% 7.16/4.96 (xuntil6(s18) | node4(s18)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1892, 352, 2200])).
% 7.16/4.96 tff(2202,plain,
% 7.16/4.96 (xuntil6(s18)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2201, 2193])).
% 7.16/4.96 tff(2203,plain,
% 7.16/4.96 (until5(s19)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1898, 2202])).
% 7.16/4.96 tff(2204,plain,
% 7.16/4.96 (xuntil6(s19)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1905, 352, 2203, 2191])).
% 7.16/4.96 tff(2205,plain,
% 7.16/4.96 (until5(s20)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1910, 2204])).
% 7.16/4.96 tff(2206,plain,
% 7.16/4.96 (~node4(s20)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1914, 16, 2189])).
% 7.16/4.96 tff(2207,plain,
% 7.16/4.96 (xuntil6(s20) | (~until5(s20))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1921, 352, 2206])).
% 7.16/4.96 tff(2208,plain,
% 7.16/4.96 (xuntil6(s20)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2207, 2205])).
% 7.16/4.96 tff(2209,plain,
% 7.16/4.96 (until5(s21)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1927, 2208])).
% 7.16/4.96 tff(2210,plain,
% 7.16/4.96 (~node4(s21)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[228, 16, 2188])).
% 7.16/4.96 tff(2211,plain,
% 7.16/4.96 (xuntil6(s21) | (~until5(s21))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1935, 352, 2210])).
% 7.16/4.96 tff(2212,plain,
% 7.16/4.96 (xuntil6(s21)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2211, 2209])).
% 7.16/4.96 tff(2213,plain,
% 7.16/4.96 (until5(s22)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1941, 2212])).
% 7.16/4.96 tff(2214,plain,
% 7.16/4.96 (~node4(s22)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1945, 16, 2187])).
% 7.16/4.96 tff(2215,plain,
% 7.16/4.96 (xuntil6(s22) | (~until5(s22))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1952, 352, 2214])).
% 7.16/4.96 tff(2216,plain,
% 7.16/4.96 ($false),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2215, 2213, 2186])).
% 7.16/4.96 tff(2217,plain,(always3(s29) | xuntil6(s29)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.96 tff(2218,plain,
% 7.16/4.96 (always3(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2217, 2149])).
% 7.16/4.96 tff(2219,plain,
% 7.16/4.96 (always3(s30)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1702, 2218])).
% 7.16/4.96 tff(2220,plain,
% 7.16/4.96 (~m_main_v_state(s30, c_busy)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[78, 72, 2219])).
% 7.16/4.96 tff(2221,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2222,plain,
% 7.16/4.96 (((~m_main_v_state(s29, c_busy)) | (~always3(s29))) <=> ((~always3(s29)) | (~m_main_v_state(s29, c_busy)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2223,plain,
% 7.16/4.96 (((~![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))))),
% 7.16/4.96 inference(monotonicity,[status(thm)],[2222])).
% 7.16/4.96 tff(2224,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(transitivity,[status(thm)],[2223, 2221])).
% 7.16/4.96 tff(2225,plain,
% 7.16/4.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s29, c_busy)) | (~always3(s29)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2226,plain,
% 7.16/4.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s29)) | (~m_main_v_state(s29, c_busy))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2225, 2224])).
% 7.16/4.96 tff(2227,plain,
% 7.16/4.96 (~m_main_v_state(s29, c_busy)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2226, 72, 2218])).
% 7.16/4.96 tff(2228,plain,
% 7.16/4.96 (((~![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))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2229,plain,
% 7.16/4.96 ((~![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))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2230,plain,
% 7.16/4.96 ((~![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)),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 7.16/4.96 tff(2231,plain,
% 7.16/4.96 (m_main_v_state(s29, c_ready)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2230, 89, 2227])).
% 7.16/4.96 tff(2232,plain,
% 7.16/4.96 (((~![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))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2233,plain,
% 7.16/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s29, s30)) | node2(s29, s30))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2234,plain,
% 7.16/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s29, s30)) | node2(s29, s30)),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2233, 2232])).
% 7.16/4.96 tff(2235,plain,
% 7.16/4.96 (node2(s29, s30)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2234, 7, 1698])).
% 7.16/4.96 tff(2236,plain,
% 7.16/4.96 (((~![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(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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2237,plain,
% 7.16/4.96 ((~![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(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2238,plain,
% 7.16/4.96 ((~![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(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2237, 2236])).
% 7.16/4.96 tff(2239,plain,
% 7.16/4.96 ((~m_main_v_state(s29, c_ready)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2238, 60, 2235])).
% 7.16/4.96 tff(2240,plain,
% 7.16/4.96 (~m_main_v_request(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2239, 2231, 2220])).
% 7.16/4.96 tff(2241,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2242,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s29) | (~node4(s29)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2243,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s29) | (~node4(s29))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 7.16/4.96 tff(2244,plain,
% 7.16/4.96 (~node4(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2243, 28, 2240])).
% 7.16/4.96 tff(2245,plain,
% 7.16/4.96 (node4(s29) | (~until5(s29))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1713, 352, 2149])).
% 7.16/4.96 tff(2246,plain,
% 7.16/4.96 (~until5(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2245, 2244])).
% 7.16/4.96 tff(2247,plain,
% 7.16/4.96 (~xuntil6(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1722, 2246])).
% 7.16/4.96 tff(2248,assumption,(node4(s28)), introduced(assumption)).
% 7.16/4.96 tff(2249,plain,
% 7.16/4.96 (always3(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1735, 16, 2248])).
% 7.16/4.96 tff(2250,assumption,(~m_main_v_state(s29, c_busy)), introduced(assumption)).
% 7.16/4.96 tff(2251,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2252,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s28) | (~node4(s28)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2253,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s28) | (~node4(s28))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2252, 2251])).
% 7.16/4.96 tff(2254,plain,
% 7.16/4.96 (m_main_v_request(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2253, 28, 2248])).
% 7.16/4.96 tff(2255,plain,
% 7.16/4.96 (((~![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))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2256,plain,
% 7.16/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s28, s29)) | node2(s28, s29))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2257,plain,
% 7.16/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s28, s29)) | node2(s28, s29)),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2256, 2255])).
% 7.16/4.96 tff(2258,plain,
% 7.16/4.96 (node2(s28, s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2257, 7, 1727])).
% 7.16/4.96 tff(2259,plain,
% 7.16/4.96 (((~![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(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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2260,plain,
% 7.16/4.96 ((~![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(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2261,plain,
% 7.16/4.96 ((~![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(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2260, 2259])).
% 7.16/4.96 tff(2262,plain,
% 7.16/4.96 ((~m_main_v_state(s28, c_ready)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2261, 60, 2258])).
% 7.16/4.96 tff(2263,plain,
% 7.16/4.96 (~m_main_v_state(s28, c_ready)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2262, 2254, 2250])).
% 7.16/4.96 tff(2264,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2265,plain,
% 7.16/4.96 (((~m_main_v_state(s28, c_busy)) | (~always3(s28))) <=> ((~always3(s28)) | (~m_main_v_state(s28, c_busy)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2266,plain,
% 7.16/4.96 (((~![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))))),
% 7.16/4.96 inference(monotonicity,[status(thm)],[2265])).
% 7.16/4.96 tff(2267,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(transitivity,[status(thm)],[2266, 2264])).
% 7.16/4.96 tff(2268,plain,
% 7.16/4.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s28, c_busy)) | (~always3(s28)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2269,plain,
% 7.16/4.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s28)) | (~m_main_v_state(s28, c_busy))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2268, 2267])).
% 7.16/4.96 tff(2270,plain,
% 7.16/4.96 (~m_main_v_state(s28, c_busy)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2269, 72, 2249])).
% 7.16/4.96 tff(2271,plain,
% 7.16/4.96 (((~![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))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2272,plain,
% 7.16/4.96 ((~![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))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2273,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready)),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2272, 2271])).
% 7.16/4.96 tff(2274,plain,
% 7.16/4.96 ($false),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2273, 89, 2270, 2263])).
% 7.16/4.96 tff(2275,plain,((~node4(s28)) | m_main_v_state(s29, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.96 tff(2276,plain,
% 7.16/4.96 (m_main_v_state(s29, c_busy)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2275, 2248])).
% 7.16/4.96 tff(2277,plain,
% 7.16/4.96 (~always3(s29)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2226, 72, 2276])).
% 7.16/4.96 tff(2278,plain,
% 7.16/4.96 ($false),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1731, 2277, 2249])).
% 7.16/4.96 tff(2279,plain,(~node4(s28)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.96 tff(2280,plain,
% 7.16/4.96 (xuntil6(s28) | (~until5(s28))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1742, 352, 2279])).
% 7.16/4.96 tff(2281,plain,
% 7.16/4.96 (~until5(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2280, 2247])).
% 7.16/4.96 tff(2282,plain,
% 7.16/4.96 (~xuntil6(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1751, 2281])).
% 7.16/4.96 tff(2283,assumption,(node4(s27)), introduced(assumption)).
% 7.16/4.96 tff(2284,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2285,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s27) | (~node4(s27)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2286,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s27) | (~node4(s27))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 7.16/4.96 tff(2287,plain,
% 7.16/4.96 (m_main_v_request(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2286, 28, 2283])).
% 7.16/4.96 tff(2288,plain,
% 7.16/4.96 (always3(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1764, 16, 2283])).
% 7.16/4.96 tff(2289,plain,
% 7.16/4.96 (always3(s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1760, 2288])).
% 7.16/4.96 tff(2290,plain,
% 7.16/4.96 (~m_main_v_state(s28, c_busy)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2269, 72, 2289])).
% 7.16/4.96 tff(2291,plain,
% 7.16/4.96 (((~![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))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2292,plain,
% 7.16/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s27, s28)) | node2(s27, s28))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2293,plain,
% 7.16/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s27, s28)) | node2(s27, s28)),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2292, 2291])).
% 7.16/4.96 tff(2294,plain,
% 7.16/4.96 (node2(s27, s28)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2293, 7, 1756])).
% 7.16/4.96 tff(2295,plain,
% 7.16/4.96 (((~![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(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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2296,plain,
% 7.16/4.96 ((~![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(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2297,plain,
% 7.16/4.96 ((~![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(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2296, 2295])).
% 7.16/4.96 tff(2298,plain,
% 7.16/4.96 ((~m_main_v_state(s27, c_ready)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2297, 60, 2294])).
% 7.16/4.96 tff(2299,plain,
% 7.16/4.96 (~m_main_v_state(s27, c_ready)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2298, 2290, 2287])).
% 7.16/4.96 tff(2300,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2301,plain,
% 7.16/4.96 (((~m_main_v_state(s27, c_busy)) | (~always3(s27))) <=> ((~always3(s27)) | (~m_main_v_state(s27, c_busy)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2302,plain,
% 7.16/4.96 (((~![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))))),
% 7.16/4.96 inference(monotonicity,[status(thm)],[2301])).
% 7.16/4.96 tff(2303,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(transitivity,[status(thm)],[2302, 2300])).
% 7.16/4.96 tff(2304,plain,
% 7.16/4.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s27, c_busy)) | (~always3(s27)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2305,plain,
% 7.16/4.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s27)) | (~m_main_v_state(s27, c_busy))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2304, 2303])).
% 7.16/4.96 tff(2306,plain,
% 7.16/4.96 (~m_main_v_state(s27, c_busy)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2305, 72, 2288])).
% 7.16/4.96 tff(2307,plain,
% 7.16/4.96 (((~![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))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2308,plain,
% 7.16/4.96 ((~![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))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2309,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready)),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 7.16/4.96 tff(2310,plain,
% 7.16/4.96 ($false),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2309, 89, 2306, 2299])).
% 7.16/4.96 tff(2311,plain,(~node4(s27)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.96 tff(2312,plain,
% 7.16/4.96 (xuntil6(s27) | (~until5(s27))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1771, 352, 2311])).
% 7.16/4.96 tff(2313,plain,
% 7.16/4.96 (~until5(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2312, 2282])).
% 7.16/4.96 tff(2314,plain,
% 7.16/4.96 (~xuntil6(s26)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1780, 2313])).
% 7.16/4.96 tff(2315,assumption,(node4(s26)), introduced(assumption)).
% 7.16/4.96 tff(2316,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2317,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s26) | (~node4(s26)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2318,plain,
% 7.16/4.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s26) | (~node4(s26))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 7.16/4.96 tff(2319,plain,
% 7.16/4.96 (m_main_v_request(s26)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2318, 28, 2315])).
% 7.16/4.96 tff(2320,plain,
% 7.16/4.96 (always3(s26)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1793, 16, 2315])).
% 7.16/4.96 tff(2321,plain,
% 7.16/4.96 (always3(s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[1789, 2320])).
% 7.16/4.96 tff(2322,plain,
% 7.16/4.96 (~m_main_v_state(s27, c_busy)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2305, 72, 2321])).
% 7.16/4.96 tff(2323,plain,
% 7.16/4.96 (((~![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))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2324,plain,
% 7.16/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s26, s27)) | node2(s26, s27))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2325,plain,
% 7.16/4.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s26, s27)) | node2(s26, s27)),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2324, 2323])).
% 7.16/4.96 tff(2326,plain,
% 7.16/4.96 (node2(s26, s27)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2325, 7, 1785])).
% 7.16/4.96 tff(2327,plain,
% 7.16/4.96 (((~![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(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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2328,plain,
% 7.16/4.96 ((~![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(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2329,plain,
% 7.16/4.96 ((~![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(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 7.16/4.96 tff(2330,plain,
% 7.16/4.96 ((~m_main_v_state(s26, c_ready)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2329, 60, 2326])).
% 7.16/4.96 tff(2331,plain,
% 7.16/4.96 (~m_main_v_state(s26, c_ready)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2330, 2322, 2319])).
% 7.16/4.96 tff(2332,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2333,plain,
% 7.16/4.96 (((~m_main_v_state(s26, c_busy)) | (~always3(s26))) <=> ((~always3(s26)) | (~m_main_v_state(s26, c_busy)))),
% 7.16/4.96 inference(rewrite,[status(thm)],[])).
% 7.16/4.96 tff(2334,plain,
% 7.16/4.96 (((~![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))))),
% 7.16/4.96 inference(monotonicity,[status(thm)],[2333])).
% 7.16/4.96 tff(2335,plain,
% 7.16/4.96 (((~![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)))),
% 7.16/4.96 inference(transitivity,[status(thm)],[2334, 2332])).
% 7.16/4.96 tff(2336,plain,
% 7.16/4.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s26, c_busy)) | (~always3(s26)))),
% 7.16/4.96 inference(quant_inst,[status(thm)],[])).
% 7.16/4.96 tff(2337,plain,
% 7.16/4.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s26)) | (~m_main_v_state(s26, c_busy))),
% 7.16/4.96 inference(modus_ponens,[status(thm)],[2336, 2335])).
% 7.16/4.96 tff(2338,plain,
% 7.16/4.96 (~m_main_v_state(s26, c_busy)),
% 7.16/4.96 inference(unit_resolution,[status(thm)],[2337, 72, 2320])).
% 7.16/4.96 tff(2339,plain,
% 7.16/4.96 (((~![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))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2340,plain,
% 7.16/4.97 ((~![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))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2341,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready)),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2340, 2339])).
% 7.16/4.97 tff(2342,plain,
% 7.16/4.97 ($false),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2341, 89, 2338, 2331])).
% 7.16/4.97 tff(2343,plain,(~node4(s26)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.97 tff(2344,plain,
% 7.16/4.97 (xuntil6(s26) | (~until5(s26))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1800, 352, 2343])).
% 7.16/4.97 tff(2345,plain,
% 7.16/4.97 (~until5(s26)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2344, 2314])).
% 7.16/4.97 tff(2346,plain,
% 7.16/4.97 (~xuntil6(s25)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1809, 2345])).
% 7.16/4.97 tff(2347,assumption,(~always3(s25)), introduced(assumption)).
% 7.16/4.97 tff(2348,plain,
% 7.16/4.97 (~always3(s24)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1830, 2347])).
% 7.16/4.97 tff(2349,plain,
% 7.16/4.97 (~always3(s23)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1842, 2348])).
% 7.16/4.97 tff(2350,plain,
% 7.16/4.97 (~always3(s22)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1854, 2349])).
% 7.16/4.97 tff(2351,plain,
% 7.16/4.97 (~always3(s21)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[240, 2350])).
% 7.16/4.97 tff(2352,plain,
% 7.16/4.97 (~always3(s20)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1867, 2351])).
% 7.16/4.97 tff(2353,plain,
% 7.16/4.97 (~always3(s19)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1879, 2352])).
% 7.16/4.97 tff(2354,plain,
% 7.16/4.97 (~node4(s19)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1883, 16, 2353])).
% 7.16/4.97 tff(2355,plain,
% 7.16/4.97 (~always3(s18)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[289, 2353])).
% 7.16/4.97 tff(2356,plain,
% 7.16/4.97 (~node4(s18)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[277, 16, 2355])).
% 7.16/4.97 tff(2357,plain,
% 7.16/4.97 (~always3(s17)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1518, 2355])).
% 7.16/4.97 tff(2358,plain,
% 7.16/4.97 (~always3(s16)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1480, 2357])).
% 7.16/4.97 tff(2359,plain,
% 7.16/4.97 (~always3(s15)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1418, 2358])).
% 7.16/4.97 tff(2360,plain,
% 7.16/4.97 (xuntil6(s15)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1406, 2359])).
% 7.16/4.97 tff(2361,plain,
% 7.16/4.97 (until5(s16)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1453, 2360])).
% 7.16/4.97 tff(2362,plain,
% 7.16/4.97 (xuntil6(s17)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1560, 2361])).
% 7.16/4.97 tff(2363,plain,
% 7.16/4.97 (until5(s18)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1565, 2362])).
% 7.16/4.97 tff(2364,plain,
% 7.16/4.97 (xuntil6(s18) | node4(s18)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1892, 352, 2363])).
% 7.16/4.97 tff(2365,plain,
% 7.16/4.97 (xuntil6(s18)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2364, 2356])).
% 7.16/4.97 tff(2366,plain,
% 7.16/4.97 (until5(s19)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1898, 2365])).
% 7.16/4.97 tff(2367,plain,
% 7.16/4.97 (xuntil6(s19)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1905, 352, 2366, 2354])).
% 7.16/4.97 tff(2368,plain,
% 7.16/4.97 (until5(s20)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1910, 2367])).
% 7.16/4.97 tff(2369,plain,
% 7.16/4.97 (~node4(s20)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1914, 16, 2352])).
% 7.16/4.97 tff(2370,plain,
% 7.16/4.97 (xuntil6(s20) | (~until5(s20))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1921, 352, 2369])).
% 7.16/4.97 tff(2371,plain,
% 7.16/4.97 (xuntil6(s20)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2370, 2368])).
% 7.16/4.97 tff(2372,plain,
% 7.16/4.97 (until5(s21)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1927, 2371])).
% 7.16/4.97 tff(2373,plain,
% 7.16/4.97 (~node4(s21)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[228, 16, 2351])).
% 7.16/4.97 tff(2374,plain,
% 7.16/4.97 (xuntil6(s21) | (~until5(s21))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1935, 352, 2373])).
% 7.16/4.97 tff(2375,plain,
% 7.16/4.97 (xuntil6(s21)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2374, 2372])).
% 7.16/4.97 tff(2376,plain,
% 7.16/4.97 (until5(s22)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1941, 2375])).
% 7.16/4.97 tff(2377,plain,
% 7.16/4.97 (~node4(s22)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1945, 16, 2350])).
% 7.16/4.97 tff(2378,plain,
% 7.16/4.97 (xuntil6(s22) | (~until5(s22))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1952, 352, 2377])).
% 7.16/4.97 tff(2379,plain,
% 7.16/4.97 (xuntil6(s22)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2378, 2376])).
% 7.16/4.97 tff(2380,plain,
% 7.16/4.97 (until5(s23)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1958, 2379])).
% 7.16/4.97 tff(2381,plain,
% 7.16/4.97 (~node4(s23)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1962, 16, 2349])).
% 7.16/4.97 tff(2382,plain,
% 7.16/4.97 (xuntil6(s23) | (~until5(s23))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1969, 352, 2381])).
% 7.16/4.97 tff(2383,plain,
% 7.16/4.97 (xuntil6(s23)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2382, 2380])).
% 7.16/4.97 tff(2384,plain,
% 7.16/4.97 (until5(s24)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1975, 2383])).
% 7.16/4.97 tff(2385,plain,
% 7.16/4.97 (~node4(s24)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1979, 16, 2348])).
% 7.16/4.97 tff(2386,plain,
% 7.16/4.97 (xuntil6(s24) | (~until5(s24))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1986, 352, 2385])).
% 7.16/4.97 tff(2387,plain,
% 7.16/4.97 (xuntil6(s24)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2386, 2384])).
% 7.16/4.97 tff(2388,plain,
% 7.16/4.97 (until5(s25)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1992, 2387])).
% 7.16/4.97 tff(2389,assumption,(~xuntil6(s25)), introduced(assumption)).
% 7.16/4.97 tff(2390,plain,
% 7.16/4.97 (node4(s25) | (~until5(s25))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2003, 352, 2389])).
% 7.16/4.97 tff(2391,plain,
% 7.16/4.97 (node4(s25)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2390, 2388])).
% 7.16/4.97 tff(2392,plain,
% 7.16/4.97 ($false),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1996, 16, 2347, 2391])).
% 7.16/4.97 tff(2393,plain,(always3(s25) | xuntil6(s25)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.97 tff(2394,plain,
% 7.16/4.97 (always3(s25)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2393, 2346])).
% 7.16/4.97 tff(2395,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2396,plain,
% 7.16/4.97 (((~m_main_v_state(s25, c_busy)) | (~always3(s25))) <=> ((~always3(s25)) | (~m_main_v_state(s25, c_busy)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2397,plain,
% 7.16/4.97 (((~![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))))),
% 7.16/4.97 inference(monotonicity,[status(thm)],[2396])).
% 7.16/4.97 tff(2398,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(transitivity,[status(thm)],[2397, 2395])).
% 7.16/4.97 tff(2399,plain,
% 7.16/4.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s25, c_busy)) | (~always3(s25)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2400,plain,
% 7.16/4.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s25)) | (~m_main_v_state(s25, c_busy))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2399, 2398])).
% 7.16/4.97 tff(2401,plain,
% 7.16/4.97 (~m_main_v_state(s25, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2400, 72, 2394])).
% 7.16/4.97 tff(2402,assumption,(~node4(s18)), introduced(assumption)).
% 7.16/4.97 tff(2403,assumption,(~node4(s21)), introduced(assumption)).
% 7.16/4.97 tff(2404,assumption,(node4(s20)), introduced(assumption)).
% 7.16/4.97 tff(2405,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2406,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s20) | (~node4(s20)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2407,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s20) | (~node4(s20))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2406, 2405])).
% 7.16/4.97 tff(2408,plain,
% 7.16/4.97 (m_main_v_request(s20)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2407, 28, 2404])).
% 7.16/4.97 tff(2409,plain,
% 7.16/4.97 (always3(s20)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1914, 16, 2404])).
% 7.16/4.97 tff(2410,plain,
% 7.16/4.97 (always3(s21)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1867, 2409])).
% 7.16/4.97 tff(2411,plain,
% 7.16/4.97 (~m_main_v_state(s21, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[263, 72, 2410])).
% 7.16/4.97 tff(2412,plain,
% 7.16/4.97 (((~![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))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2413,plain,
% 7.16/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s20, s21)) | node2(s20, s21))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2414,plain,
% 7.16/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s20, s21)) | node2(s20, s21)),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 7.16/4.97 tff(2415,plain,
% 7.16/4.97 (node2(s20, s21)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2414, 7, 1863])).
% 7.16/4.97 tff(2416,plain,
% 7.16/4.97 (((~![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(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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2417,plain,
% 7.16/4.97 ((~![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(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2418,plain,
% 7.16/4.97 ((~![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(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2417, 2416])).
% 7.16/4.97 tff(2419,plain,
% 7.16/4.97 ((~m_main_v_state(s20, c_ready)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2418, 60, 2415])).
% 7.16/4.97 tff(2420,plain,
% 7.16/4.97 (~m_main_v_state(s20, c_ready)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2419, 2411, 2408])).
% 7.16/4.97 tff(2421,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2422,plain,
% 7.16/4.97 (((~m_main_v_state(s20, c_busy)) | (~always3(s20))) <=> ((~always3(s20)) | (~m_main_v_state(s20, c_busy)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2423,plain,
% 7.16/4.97 (((~![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))))),
% 7.16/4.97 inference(monotonicity,[status(thm)],[2422])).
% 7.16/4.97 tff(2424,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(transitivity,[status(thm)],[2423, 2421])).
% 7.16/4.97 tff(2425,plain,
% 7.16/4.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s20, c_busy)) | (~always3(s20)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2426,plain,
% 7.16/4.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s20)) | (~m_main_v_state(s20, c_busy))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2425, 2424])).
% 7.16/4.97 tff(2427,plain,
% 7.16/4.97 (~m_main_v_state(s20, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2426, 72, 2409])).
% 7.16/4.97 tff(2428,plain,
% 7.16/4.97 (((~![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))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2429,plain,
% 7.16/4.97 ((~![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))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2430,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s20, c_busy) | m_main_v_state(s20, c_ready)),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2429, 2428])).
% 7.16/4.97 tff(2431,plain,
% 7.16/4.97 ($false),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2430, 89, 2427, 2420])).
% 7.16/4.97 tff(2432,plain,(~node4(s20)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.97 tff(2433,assumption,(node4(s23)), introduced(assumption)).
% 7.16/4.97 tff(2434,plain,
% 7.16/4.97 (always3(s23)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1962, 16, 2433])).
% 7.16/4.97 tff(2435,assumption,(~m_main_v_state(s24, c_busy)), introduced(assumption)).
% 7.16/4.97 tff(2436,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2437,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s23) | (~node4(s23)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2438,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s23) | (~node4(s23))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2437, 2436])).
% 7.16/4.97 tff(2439,plain,
% 7.16/4.97 (m_main_v_request(s23)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2438, 28, 2433])).
% 7.16/4.97 tff(2440,plain,
% 7.16/4.97 (((~![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))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2441,plain,
% 7.16/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s23, s24)) | node2(s23, s24))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2442,plain,
% 7.16/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s23, s24)) | node2(s23, s24)),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2441, 2440])).
% 7.16/4.97 tff(2443,plain,
% 7.16/4.97 (node2(s23, s24)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2442, 7, 1838])).
% 7.16/4.97 tff(2444,plain,
% 7.16/4.97 (((~![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(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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2445,plain,
% 7.16/4.97 ((~![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(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2446,plain,
% 7.16/4.97 ((~![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(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2445, 2444])).
% 7.16/4.97 tff(2447,plain,
% 7.16/4.97 ((~m_main_v_state(s23, c_ready)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2446, 60, 2443])).
% 7.16/4.97 tff(2448,plain,
% 7.16/4.97 (~m_main_v_state(s23, c_ready)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2447, 2439, 2435])).
% 7.16/4.97 tff(2449,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2450,plain,
% 7.16/4.97 (((~m_main_v_state(s23, c_busy)) | (~always3(s23))) <=> ((~always3(s23)) | (~m_main_v_state(s23, c_busy)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2451,plain,
% 7.16/4.97 (((~![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))))),
% 7.16/4.97 inference(monotonicity,[status(thm)],[2450])).
% 7.16/4.97 tff(2452,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(transitivity,[status(thm)],[2451, 2449])).
% 7.16/4.97 tff(2453,plain,
% 7.16/4.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s23, c_busy)) | (~always3(s23)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2454,plain,
% 7.16/4.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s23)) | (~m_main_v_state(s23, c_busy))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2453, 2452])).
% 7.16/4.97 tff(2455,plain,
% 7.16/4.97 (~m_main_v_state(s23, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2454, 72, 2434])).
% 7.16/4.97 tff(2456,plain,
% 7.16/4.97 (((~![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))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2457,plain,
% 7.16/4.97 ((~![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))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2458,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready)),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 7.16/4.97 tff(2459,plain,
% 7.16/4.97 ($false),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2458, 89, 2455, 2448])).
% 7.16/4.97 tff(2460,plain,((~node4(s23)) | m_main_v_state(s24, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.97 tff(2461,plain,
% 7.16/4.97 (m_main_v_state(s24, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2460, 2433])).
% 7.16/4.97 tff(2462,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2463,plain,
% 7.16/4.97 (((~m_main_v_state(s24, c_busy)) | (~always3(s24))) <=> ((~always3(s24)) | (~m_main_v_state(s24, c_busy)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2464,plain,
% 7.16/4.97 (((~![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))))),
% 7.16/4.97 inference(monotonicity,[status(thm)],[2463])).
% 7.16/4.97 tff(2465,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(transitivity,[status(thm)],[2464, 2462])).
% 7.16/4.97 tff(2466,plain,
% 7.16/4.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s24, c_busy)) | (~always3(s24)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2467,plain,
% 7.16/4.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s24)) | (~m_main_v_state(s24, c_busy))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2466, 2465])).
% 7.16/4.97 tff(2468,plain,
% 7.16/4.97 (~always3(s24)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2467, 72, 2461])).
% 7.16/4.97 tff(2469,plain,
% 7.16/4.97 ($false),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1842, 2468, 2434])).
% 7.16/4.97 tff(2470,plain,(~node4(s23)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.97 tff(2471,assumption,(node4(s25)), introduced(assumption)).
% 7.16/4.97 tff(2472,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2473,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s25) | (~node4(s25)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2474,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s25) | (~node4(s25))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 7.16/4.97 tff(2475,plain,
% 7.16/4.97 (m_main_v_request(s25)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2474, 28, 2471])).
% 7.16/4.97 tff(2476,plain,
% 7.16/4.97 (always3(s25)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1996, 16, 2471])).
% 7.16/4.97 tff(2477,plain,
% 7.16/4.97 (always3(s26)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1818, 2476])).
% 7.16/4.97 tff(2478,plain,
% 7.16/4.97 (~m_main_v_state(s26, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2337, 72, 2477])).
% 7.16/4.97 tff(2479,plain,
% 7.16/4.97 (((~![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))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2480,plain,
% 7.16/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s25, s26)) | node2(s25, s26))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2481,plain,
% 7.16/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s25, s26)) | node2(s25, s26)),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 7.16/4.97 tff(2482,plain,
% 7.16/4.97 (node2(s25, s26)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2481, 7, 1814])).
% 7.16/4.97 tff(2483,plain,
% 7.16/4.97 (((~![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(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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2484,plain,
% 7.16/4.97 ((~![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(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2485,plain,
% 7.16/4.97 ((~![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(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2484, 2483])).
% 7.16/4.97 tff(2486,plain,
% 7.16/4.97 ((~m_main_v_state(s25, c_ready)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2485, 60, 2482])).
% 7.16/4.97 tff(2487,plain,
% 7.16/4.97 (~m_main_v_state(s25, c_ready)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2486, 2478, 2475])).
% 7.16/4.97 tff(2488,plain,
% 7.16/4.97 (~m_main_v_state(s25, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2400, 72, 2476])).
% 7.16/4.97 tff(2489,plain,
% 7.16/4.97 (((~![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))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2490,plain,
% 7.16/4.97 ((~![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))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2491,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready)),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 7.16/4.97 tff(2492,plain,
% 7.16/4.97 ($false),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2491, 89, 2488, 2487])).
% 7.16/4.97 tff(2493,plain,(~node4(s25)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.97 tff(2494,assumption,(node4(s22)), introduced(assumption)).
% 7.16/4.97 tff(2495,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2496,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s22) | (~node4(s22)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2497,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s22) | (~node4(s22))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2496, 2495])).
% 7.16/4.97 tff(2498,plain,
% 7.16/4.97 (m_main_v_request(s22)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2497, 28, 2494])).
% 7.16/4.97 tff(2499,plain,
% 7.16/4.97 (always3(s22)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1945, 16, 2494])).
% 7.16/4.97 tff(2500,plain,
% 7.16/4.97 (always3(s23)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1854, 2499])).
% 7.16/4.97 tff(2501,plain,
% 7.16/4.97 (~m_main_v_state(s23, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2454, 72, 2500])).
% 7.16/4.97 tff(2502,plain,
% 7.16/4.97 (((~![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))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2503,plain,
% 7.16/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s22, s23)) | node2(s22, s23))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2504,plain,
% 7.16/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s22, s23)) | node2(s22, s23)),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2503, 2502])).
% 7.16/4.97 tff(2505,plain,
% 7.16/4.97 (node2(s22, s23)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2504, 7, 1850])).
% 7.16/4.97 tff(2506,plain,
% 7.16/4.97 (((~![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(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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2507,plain,
% 7.16/4.97 ((~![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(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2508,plain,
% 7.16/4.97 ((~![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(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2507, 2506])).
% 7.16/4.97 tff(2509,plain,
% 7.16/4.97 ((~m_main_v_state(s22, c_ready)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2508, 60, 2505])).
% 7.16/4.97 tff(2510,plain,
% 7.16/4.97 (~m_main_v_state(s22, c_ready)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2509, 2501, 2498])).
% 7.16/4.97 tff(2511,plain,
% 7.16/4.97 (~m_main_v_state(s22, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[247, 72, 2499])).
% 7.16/4.97 tff(2512,plain,
% 7.16/4.97 (((~![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))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2513,plain,
% 7.16/4.97 ((~![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))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2514,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s22, c_busy) | m_main_v_state(s22, c_ready)),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2513, 2512])).
% 7.16/4.97 tff(2515,plain,
% 7.16/4.97 ($false),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2514, 89, 2511, 2510])).
% 7.16/4.97 tff(2516,plain,(~node4(s22)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.97 tff(2517,plain,
% 7.16/4.97 (~until5(s33)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2048, 1567, 320])).
% 7.16/4.97 tff(2518,plain,
% 7.16/4.97 (~xuntil6(s32)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1612, 2517])).
% 7.16/4.97 tff(2519,assumption,(~node4(s20)), introduced(assumption)).
% 7.16/4.97 tff(2520,assumption,(~node4(s26)), introduced(assumption)).
% 7.16/4.97 tff(2521,assumption,(~node4(s22)), introduced(assumption)).
% 7.16/4.97 tff(2522,assumption,(~node4(s23)), introduced(assumption)).
% 7.16/4.97 tff(2523,assumption,(~node4(s29)), introduced(assumption)).
% 7.16/4.97 tff(2524,assumption,(~node4(s28)), introduced(assumption)).
% 7.16/4.97 tff(2525,assumption,(~node4(s24)), introduced(assumption)).
% 7.16/4.97 tff(2526,assumption,(~node4(s25)), introduced(assumption)).
% 7.16/4.97 tff(2527,plain,
% 7.16/4.97 (xuntil6(s18)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1892, 352, 1567, 2402])).
% 7.16/4.97 tff(2528,plain,
% 7.16/4.97 (until5(s19)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1898, 2527])).
% 7.16/4.97 tff(2529,assumption,(node4(s19)), introduced(assumption)).
% 7.16/4.97 tff(2530,plain,
% 7.16/4.97 (((~![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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2531,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s19) | (~node4(s19)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2532,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s19) | (~node4(s19))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2531, 2530])).
% 7.16/4.97 tff(2533,plain,
% 7.16/4.97 (m_main_v_request(s19)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2532, 28, 2529])).
% 7.16/4.97 tff(2534,plain,
% 7.16/4.97 (always3(s19)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1883, 16, 2529])).
% 7.16/4.97 tff(2535,plain,
% 7.16/4.97 (always3(s20)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1879, 2534])).
% 7.16/4.97 tff(2536,plain,
% 7.16/4.97 (~m_main_v_state(s20, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2426, 72, 2535])).
% 7.16/4.97 tff(2537,plain,
% 7.16/4.97 (((~![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))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2538,plain,
% 7.16/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s19, s20)) | node2(s19, s20))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2539,plain,
% 7.16/4.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s19, s20)) | node2(s19, s20)),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 7.16/4.97 tff(2540,plain,
% 7.16/4.97 (node2(s19, s20)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2539, 7, 1875])).
% 7.16/4.97 tff(2541,plain,
% 7.16/4.97 (((~![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(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)))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2542,plain,
% 7.16/4.97 ((~![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(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19)))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2543,plain,
% 7.16/4.97 ((~![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(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2542, 2541])).
% 7.16/4.97 tff(2544,plain,
% 7.16/4.97 ((~m_main_v_state(s19, c_ready)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2543, 60, 2540])).
% 7.16/4.97 tff(2545,plain,
% 7.16/4.97 (~m_main_v_state(s19, c_ready)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2544, 2536, 2533])).
% 7.16/4.97 tff(2546,plain,
% 7.16/4.97 (~m_main_v_state(s19, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[296, 72, 2534])).
% 7.16/4.97 tff(2547,plain,
% 7.16/4.97 (((~![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))),
% 7.16/4.97 inference(rewrite,[status(thm)],[])).
% 7.16/4.97 tff(2548,plain,
% 7.16/4.97 ((~![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))),
% 7.16/4.97 inference(quant_inst,[status(thm)],[])).
% 7.16/4.97 tff(2549,plain,
% 7.16/4.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready)),
% 7.16/4.97 inference(modus_ponens,[status(thm)],[2548, 2547])).
% 7.16/4.97 tff(2550,plain,
% 7.16/4.97 ($false),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2549, 89, 2546, 2545])).
% 7.16/4.97 tff(2551,plain,(~node4(s19)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.97 tff(2552,plain,
% 7.16/4.97 (xuntil6(s19) | (~until5(s19))),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1905, 352, 2551])).
% 7.16/4.97 tff(2553,plain,
% 7.16/4.97 (xuntil6(s19)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2552, 2528])).
% 7.16/4.97 tff(2554,plain,
% 7.16/4.97 (until5(s20)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1910, 2553])).
% 7.16/4.97 tff(2555,plain,
% 7.16/4.97 (xuntil6(s20)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1921, 352, 2554, 2519])).
% 7.16/4.97 tff(2556,plain,
% 7.16/4.97 (until5(s21)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1927, 2555])).
% 7.16/4.97 tff(2557,plain,
% 7.16/4.97 (xuntil6(s21)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1935, 352, 2556, 2403])).
% 7.16/4.97 tff(2558,plain,
% 7.16/4.97 (until5(s22)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1941, 2557])).
% 7.16/4.97 tff(2559,plain,
% 7.16/4.97 (xuntil6(s22)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1952, 352, 2558, 2521])).
% 7.16/4.97 tff(2560,plain,
% 7.16/4.97 (until5(s23)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1958, 2559])).
% 7.16/4.97 tff(2561,plain,
% 7.16/4.97 (xuntil6(s23)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1969, 352, 2560, 2522])).
% 7.16/4.97 tff(2562,plain,
% 7.16/4.97 (until5(s24)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1975, 2561])).
% 7.16/4.97 tff(2563,plain,
% 7.16/4.97 (xuntil6(s24)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1986, 352, 2562, 2525])).
% 7.16/4.97 tff(2564,plain,
% 7.16/4.97 (until5(s25)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1992, 2563])).
% 7.16/4.97 tff(2565,plain,
% 7.16/4.97 (xuntil6(s25)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2003, 352, 2564, 2526])).
% 7.16/4.97 tff(2566,plain,
% 7.16/4.97 (always3(s31)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2121, 1567, 2058])).
% 7.16/4.97 tff(2567,plain,
% 7.16/4.97 (always3(s32)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1591, 2566])).
% 7.16/4.97 tff(2568,plain,
% 7.16/4.97 (~m_main_v_state(s32, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1645, 72, 2567])).
% 7.16/4.97 tff(2569,plain,
% 7.16/4.97 (~m_main_v_state(s31, c_busy)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[101, 72, 2566])).
% 7.16/4.97 tff(2570,plain,
% 7.16/4.97 (m_main_v_state(s31, c_ready)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2129, 89, 2569])).
% 7.16/4.97 tff(2571,plain,
% 7.16/4.97 (~m_main_v_request(s31)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2138, 2570, 2568])).
% 7.16/4.97 tff(2572,plain,
% 7.16/4.97 (~node4(s31)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2142, 28, 2571])).
% 7.16/4.97 tff(2573,plain,
% 7.16/4.97 (~until5(s31)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[2059, 2572])).
% 7.16/4.97 tff(2574,plain,
% 7.16/4.97 (~xuntil6(s30)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1675, 2573])).
% 7.16/4.97 tff(2575,plain,
% 7.16/4.97 (~until5(s30)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1684, 352, 2574, 319])).
% 7.16/4.97 tff(2576,plain,
% 7.16/4.97 (~xuntil6(s29)),
% 7.16/4.97 inference(unit_resolution,[status(thm)],[1693, 2575])).
% 7.16/4.97 tff(2577,plain,
% 7.16/4.97 (~until5(s29)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1713, 352, 2576, 2523])).
% 7.16/4.98 tff(2578,plain,
% 7.16/4.98 (~xuntil6(s28)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1722, 2577])).
% 7.16/4.98 tff(2579,plain,
% 7.16/4.98 (~until5(s28)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1742, 352, 2578, 2524])).
% 7.16/4.98 tff(2580,plain,
% 7.16/4.98 (~xuntil6(s27)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1751, 2579])).
% 7.16/4.98 tff(2581,plain,
% 7.16/4.98 (~until5(s27)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2312, 2580])).
% 7.16/4.98 tff(2582,plain,
% 7.16/4.98 (~xuntil6(s26)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1780, 2581])).
% 7.16/4.98 tff(2583,plain,
% 7.16/4.98 (~until5(s26)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1800, 352, 2582, 2520])).
% 7.16/4.98 tff(2584,plain,
% 7.16/4.98 ($false),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1809, 2583, 2565])).
% 7.16/4.98 tff(2585,plain,((~until5(s18)) | node4(s26) | node4(s25) | node4(s24) | node4(s28) | node4(s29) | node4(s23) | node4(s22) | node4(s30) | xuntil6(s31) | node4(s21) | node4(s20) | node4(s18)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.98 tff(2586,plain,
% 7.16/4.98 (xuntil6(s31)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2585, 1567, 2526, 2525, 2524, 2523, 2522, 2521, 2520, 319, 2403, 2519, 2402])).
% 7.16/4.98 tff(2587,plain,
% 7.16/4.98 (until5(s32)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1663, 2586])).
% 7.16/4.98 tff(2588,plain,
% 7.16/4.98 ($false),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1658, 2587, 2518])).
% 7.16/4.98 tff(2589,plain,((~until5(s18)) | node4(s25) | node4(s24) | node4(s28) | node4(s29) | node4(s23) | node4(s22) | node4(s26) | node4(s30) | node4(s21) | node4(s20) | node4(s18) | xuntil6(s33)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.98 tff(2590,plain,
% 7.16/4.98 (node4(s25) | node4(s24) | node4(s28) | node4(s29) | node4(s23) | node4(s22) | node4(s30) | node4(s21) | node4(s20) | node4(s18) | xuntil6(s33)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2589, 2343, 1566])).
% 7.16/4.98 tff(2591,plain,
% 7.16/4.98 (node4(s24) | node4(s29) | node4(s23) | node4(s30) | node4(s21) | node4(s20) | node4(s18) | xuntil6(s33)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2590, 2279, 2516, 2493])).
% 7.16/4.98 tff(2592,plain,
% 7.16/4.98 (node4(s24) | node4(s29) | node4(s30) | node4(s21) | node4(s18) | xuntil6(s33)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2591, 2470, 2432])).
% 7.16/4.98 tff(2593,plain,
% 7.16/4.98 (node4(s24)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2592, 2244, 320, 2403, 2402, 319])).
% 7.16/4.98 tff(2594,plain,
% 7.16/4.98 (((~![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)))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2595,plain,
% 7.16/4.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s24) | (~node4(s24)))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2596,plain,
% 7.16/4.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s24) | (~node4(s24))),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 7.16/4.98 tff(2597,plain,
% 7.16/4.98 (m_main_v_request(s24)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2596, 28, 2593])).
% 7.16/4.98 tff(2598,plain,
% 7.16/4.98 (((~![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))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2599,plain,
% 7.16/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s24, s25)) | node2(s24, s25))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2600,plain,
% 7.16/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s24, s25)) | node2(s24, s25)),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2599, 2598])).
% 7.16/4.98 tff(2601,plain,
% 7.16/4.98 (node2(s24, s25)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2600, 7, 1826])).
% 7.16/4.98 tff(2602,plain,
% 7.16/4.98 (((~![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(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)))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2603,plain,
% 7.16/4.98 ((~![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(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24)))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2604,plain,
% 7.16/4.98 ((~![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(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2603, 2602])).
% 7.16/4.98 tff(2605,plain,
% 7.16/4.98 ((~m_main_v_state(s24, c_ready)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2604, 60, 2601])).
% 7.16/4.98 tff(2606,plain,
% 7.16/4.98 (~m_main_v_state(s24, c_ready)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2605, 2597, 2401])).
% 7.16/4.98 tff(2607,plain,
% 7.16/4.98 (xuntil6(s18) | node4(s18)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1892, 352, 1566])).
% 7.16/4.98 tff(2608,plain,
% 7.16/4.98 (xuntil6(s18)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2607, 2402])).
% 7.16/4.98 tff(2609,plain,
% 7.16/4.98 (until5(s19)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1898, 2608])).
% 7.16/4.98 tff(2610,plain,
% 7.16/4.98 (xuntil6(s25) | (~until5(s25))),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2003, 352, 2493])).
% 7.16/4.98 tff(2611,plain,
% 7.16/4.98 (~until5(s25)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2610, 2346])).
% 7.16/4.98 tff(2612,plain,
% 7.16/4.98 (~xuntil6(s24)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1992, 2611])).
% 7.16/4.98 tff(2613,assumption,(~always3(s24)), introduced(assumption)).
% 7.16/4.98 tff(2614,plain,
% 7.16/4.98 (~always3(s23)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1842, 2613])).
% 7.16/4.98 tff(2615,plain,
% 7.16/4.98 (~always3(s22)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1854, 2614])).
% 7.16/4.98 tff(2616,plain,
% 7.16/4.98 (~always3(s21)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[240, 2615])).
% 7.16/4.98 tff(2617,plain,
% 7.16/4.98 (~always3(s20)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1867, 2616])).
% 7.16/4.98 tff(2618,plain,
% 7.16/4.98 (~node4(s20)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1914, 16, 2617])).
% 7.16/4.98 tff(2619,plain,
% 7.16/4.98 (~always3(s19)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1879, 2617])).
% 7.16/4.98 tff(2620,plain,
% 7.16/4.98 (~node4(s19)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1883, 16, 2619])).
% 7.16/4.98 tff(2621,assumption,(until5(s19)), introduced(assumption)).
% 7.16/4.98 tff(2622,plain,
% 7.16/4.98 (xuntil6(s19) | node4(s19)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1905, 352, 2621])).
% 7.16/4.98 tff(2623,plain,
% 7.16/4.98 (xuntil6(s19)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2622, 2620])).
% 7.16/4.98 tff(2624,plain,
% 7.16/4.98 (until5(s20)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1910, 2623])).
% 7.16/4.98 tff(2625,plain,
% 7.16/4.98 (xuntil6(s20)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1921, 352, 2624, 2618])).
% 7.16/4.98 tff(2626,plain,
% 7.16/4.98 (until5(s21)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1927, 2625])).
% 7.16/4.98 tff(2627,plain,
% 7.16/4.98 (~node4(s21)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[228, 16, 2616])).
% 7.16/4.98 tff(2628,plain,
% 7.16/4.98 (xuntil6(s21) | (~until5(s21))),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1935, 352, 2627])).
% 7.16/4.98 tff(2629,plain,
% 7.16/4.98 (xuntil6(s21)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2628, 2626])).
% 7.16/4.98 tff(2630,plain,
% 7.16/4.98 (until5(s22)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1941, 2629])).
% 7.16/4.98 tff(2631,plain,
% 7.16/4.98 (~node4(s22)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1945, 16, 2615])).
% 7.16/4.98 tff(2632,plain,
% 7.16/4.98 (xuntil6(s22) | (~until5(s22))),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1952, 352, 2631])).
% 7.16/4.98 tff(2633,plain,
% 7.16/4.98 (xuntil6(s22)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2632, 2630])).
% 7.16/4.98 tff(2634,plain,
% 7.16/4.98 (until5(s23)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1958, 2633])).
% 7.16/4.98 tff(2635,plain,
% 7.16/4.98 (~node4(s23)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1962, 16, 2614])).
% 7.16/4.98 tff(2636,plain,
% 7.16/4.98 (xuntil6(s23) | (~until5(s23))),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1969, 352, 2635])).
% 7.16/4.98 tff(2637,plain,
% 7.16/4.98 (xuntil6(s23)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2636, 2634])).
% 7.16/4.98 tff(2638,plain,
% 7.16/4.98 (until5(s24)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1975, 2637])).
% 7.16/4.98 tff(2639,assumption,(~xuntil6(s24)), introduced(assumption)).
% 7.16/4.98 tff(2640,plain,
% 7.16/4.98 (node4(s24) | (~until5(s24))),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1986, 352, 2639])).
% 7.16/4.98 tff(2641,plain,
% 7.16/4.98 (node4(s24)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2640, 2638])).
% 7.16/4.98 tff(2642,plain,
% 7.16/4.98 ($false),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[1979, 16, 2613, 2641])).
% 7.16/4.98 tff(2643,plain,(always3(s24) | xuntil6(s24) | (~until5(s19))), inference(lemma,lemma(discharge,[]))).
% 7.16/4.98 tff(2644,plain,
% 7.16/4.98 (always3(s24)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2643, 2612, 2609])).
% 7.16/4.98 tff(2645,plain,
% 7.16/4.98 (~m_main_v_state(s24, c_busy)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2467, 72, 2644])).
% 7.16/4.98 tff(2646,plain,
% 7.16/4.98 (((~![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))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2647,plain,
% 7.16/4.98 ((~![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))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2648,plain,
% 7.16/4.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready)),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 7.16/4.98 tff(2649,plain,
% 7.16/4.98 ($false),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2648, 89, 2645, 2606])).
% 7.16/4.98 tff(2650,plain,(node4(s30) | xuntil6(s33) | node4(s21) | node4(s18)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.98 tff(2651,plain,
% 7.16/4.98 (node4(s30) | xuntil6(s33) | node4(s21)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2650, 318])).
% 7.16/4.98 tff(2652,plain,
% 7.16/4.98 (xuntil6(s33)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2651, 118, 269])).
% 7.16/4.98 tff(2653,plain,
% 7.16/4.98 (((~![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))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2654,plain,
% 7.16/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2655,plain,
% 7.16/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34)),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2654, 2653])).
% 7.16/4.98 tff(2656,plain,
% 7.16/4.98 ((~xuntil6(s33)) | until5(s34)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2655, 2010, 370])).
% 7.16/4.98 tff(2657,plain,
% 7.16/4.98 (until5(s34)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2656, 2652])).
% 7.16/4.98 tff(2658,assumption,(until5(s34)), introduced(assumption)).
% 7.16/4.98 tff(2659,assumption,(~xuntil6(s35)), introduced(assumption)).
% 7.16/4.98 tff(2660,assumption,(~always3(s35)), introduced(assumption)).
% 7.16/4.98 tff(2661,plain,
% 7.16/4.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35)))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2662,plain,
% 7.16/4.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2663,plain,
% 7.16/4.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35))),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2662, 2661])).
% 7.16/4.98 tff(2664,plain,
% 7.16/4.98 (~node4(s35)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2663, 16, 2660])).
% 7.16/4.98 tff(2665,plain,
% 7.16/4.98 (((~![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)))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2666,plain,
% 7.16/4.98 ((node4(s35) | (~until5(s35)) | xuntil6(s35)) <=> (xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2667,plain,
% 7.16/4.98 (((~![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))))),
% 7.16/4.98 inference(monotonicity,[status(thm)],[2666])).
% 7.16/4.98 tff(2668,plain,
% 7.16/4.98 (((~![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)))),
% 7.16/4.98 inference(transitivity,[status(thm)],[2667, 2665])).
% 7.16/4.98 tff(2669,plain,
% 7.16/4.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s35) | (~until5(s35)) | xuntil6(s35))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2670,plain,
% 7.16/4.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s35) | node4(s35) | (~until5(s35))),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2669, 2668])).
% 7.16/4.98 tff(2671,plain,
% 7.16/4.98 (node4(s35) | (~until5(s35))),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2670, 352, 2659])).
% 7.16/4.98 tff(2672,plain,
% 7.16/4.98 (~until5(s35)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2671, 2664])).
% 7.16/4.98 tff(2673,plain,
% 7.16/4.98 (succ(s34, s35) <=> succ(s34, s35)),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2674,axiom,(succ(s34, s35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound35')).
% 7.16/4.98 tff(2675,plain,
% 7.16/4.98 (succ(s34, s35)),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2674, 2673])).
% 7.16/4.98 tff(2676,plain,
% 7.16/4.98 (((~![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))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2677,plain,
% 7.16/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2678,plain,
% 7.16/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2677, 2676])).
% 7.16/4.98 tff(2679,plain,
% 7.16/4.98 (trans(s34, s35)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2678, 2675, 39])).
% 7.16/4.98 tff(2680,plain,
% 7.16/4.98 (((~![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))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2681,plain,
% 7.16/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s34, s35)) | (~always3(s34)) | always3(s35))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2682,plain,
% 7.16/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s34, s35)) | (~always3(s34)) | always3(s35)),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2681, 2680])).
% 7.16/4.98 tff(2683,plain,
% 7.16/4.98 ((~always3(s34)) | always3(s35)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2682, 112, 2679])).
% 7.16/4.98 tff(2684,plain,
% 7.16/4.98 (~always3(s34)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2683, 2660])).
% 7.16/4.98 tff(2685,plain,
% 7.16/4.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34)))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2686,plain,
% 7.16/4.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2687,plain,
% 7.16/4.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34))),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2686, 2685])).
% 7.16/4.98 tff(2688,plain,
% 7.16/4.98 (~node4(s34)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2687, 16, 2684])).
% 7.16/4.98 tff(2689,plain,
% 7.16/4.98 (((~![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)))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2690,plain,
% 7.16/4.98 ((node4(s34) | (~until5(s34)) | xuntil6(s34)) <=> (xuntil6(s34) | node4(s34) | (~until5(s34)))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2691,plain,
% 7.16/4.98 (((~![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))))),
% 7.16/4.98 inference(monotonicity,[status(thm)],[2690])).
% 7.16/4.98 tff(2692,plain,
% 7.16/4.98 (((~![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)))),
% 7.16/4.98 inference(transitivity,[status(thm)],[2691, 2689])).
% 7.16/4.98 tff(2693,plain,
% 7.16/4.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s34) | (~until5(s34)) | xuntil6(s34))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2694,plain,
% 7.16/4.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s34) | node4(s34) | (~until5(s34))),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 7.16/4.98 tff(2695,plain,
% 7.16/4.98 (xuntil6(s34) | node4(s34)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2694, 352, 2658])).
% 7.16/4.98 tff(2696,plain,
% 7.16/4.98 (xuntil6(s34)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2695, 2688])).
% 7.16/4.98 tff(2697,plain,
% 7.16/4.98 (((~![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))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2698,plain,
% 7.16/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2699,plain,
% 7.16/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35)),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2698, 2697])).
% 7.16/4.98 tff(2700,plain,
% 7.16/4.98 ((~xuntil6(s34)) | until5(s35)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2699, 2675, 370])).
% 7.16/4.98 tff(2701,plain,
% 7.16/4.98 ($false),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2700, 2696, 2672])).
% 7.16/4.98 tff(2702,plain,(always3(s35) | (~until5(s34)) | xuntil6(s35)), inference(lemma,lemma(discharge,[]))).
% 7.16/4.98 tff(2703,plain,
% 7.16/4.98 (always3(s35)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2702, 2659, 2658])).
% 7.16/4.98 tff(2704,plain,
% 7.16/4.98 (((~![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)))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2705,plain,
% 7.16/4.98 (((~m_main_v_state(s35, c_busy)) | (~always3(s35))) <=> ((~always3(s35)) | (~m_main_v_state(s35, c_busy)))),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2706,plain,
% 7.16/4.98 (((~![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))))),
% 7.16/4.98 inference(monotonicity,[status(thm)],[2705])).
% 7.16/4.98 tff(2707,plain,
% 7.16/4.98 (((~![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)))),
% 7.16/4.98 inference(transitivity,[status(thm)],[2706, 2704])).
% 7.16/4.98 tff(2708,plain,
% 7.16/4.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s35, c_busy)) | (~always3(s35)))),
% 7.16/4.98 inference(quant_inst,[status(thm)],[])).
% 7.16/4.98 tff(2709,plain,
% 7.16/4.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s35)) | (~m_main_v_state(s35, c_busy))),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 7.16/4.98 tff(2710,plain,
% 7.16/4.98 (~m_main_v_state(s35, c_busy)),
% 7.16/4.98 inference(unit_resolution,[status(thm)],[2709, 72, 2703])).
% 7.16/4.98 tff(2711,plain,
% 7.16/4.98 (succ(s35, s36) <=> succ(s35, s36)),
% 7.16/4.98 inference(rewrite,[status(thm)],[])).
% 7.16/4.98 tff(2712,axiom,(succ(s35, s36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound36')).
% 7.16/4.98 tff(2713,plain,
% 7.16/4.98 (succ(s35, s36)),
% 7.16/4.98 inference(modus_ponens,[status(thm)],[2712, 2711])).
% 7.21/4.98 tff(2714,plain,
% 7.21/4.98 (((~![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))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2715,plain,
% 7.21/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2716,plain,
% 7.21/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2715, 2714])).
% 7.21/4.98 tff(2717,plain,
% 7.21/4.98 (trans(s35, s36)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2716, 2713, 39])).
% 7.21/4.98 tff(2718,plain,
% 7.21/4.98 (((~![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))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2719,plain,
% 7.21/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s35, s36)) | (~always3(s35)) | always3(s36))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2720,plain,
% 7.21/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s35, s36)) | (~always3(s35)) | always3(s36)),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2719, 2718])).
% 7.21/4.98 tff(2721,plain,
% 7.21/4.98 ((~always3(s35)) | always3(s36)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2720, 112, 2717])).
% 7.21/4.98 tff(2722,plain,
% 7.21/4.98 (always3(s36)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2721, 2703])).
% 7.21/4.98 tff(2723,plain,
% 7.21/4.98 (((~![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)))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2724,plain,
% 7.21/4.98 (((~m_main_v_state(s36, c_busy)) | (~always3(s36))) <=> ((~always3(s36)) | (~m_main_v_state(s36, c_busy)))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2725,plain,
% 7.21/4.98 (((~![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))))),
% 7.21/4.98 inference(monotonicity,[status(thm)],[2724])).
% 7.21/4.98 tff(2726,plain,
% 7.21/4.98 (((~![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)))),
% 7.21/4.98 inference(transitivity,[status(thm)],[2725, 2723])).
% 7.21/4.98 tff(2727,plain,
% 7.21/4.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s36, c_busy)) | (~always3(s36)))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2728,plain,
% 7.21/4.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s36)) | (~m_main_v_state(s36, c_busy))),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2727, 2726])).
% 7.21/4.98 tff(2729,plain,
% 7.21/4.98 (~m_main_v_state(s36, c_busy)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2728, 72, 2722])).
% 7.21/4.98 tff(2730,plain,
% 7.21/4.98 (((~![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))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2731,plain,
% 7.21/4.98 ((~![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))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2732,plain,
% 7.21/4.98 ((~![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)),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2731, 2730])).
% 7.21/4.98 tff(2733,plain,
% 7.21/4.98 (m_main_v_state(s35, c_ready)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2732, 89, 2710])).
% 7.21/4.98 tff(2734,plain,
% 7.21/4.98 (((~![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))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2735,plain,
% 7.21/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s35, s36)) | node2(s35, s36))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2736,plain,
% 7.21/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s35, s36)) | node2(s35, s36)),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2735, 2734])).
% 7.21/4.98 tff(2737,plain,
% 7.21/4.98 (node2(s35, s36)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2736, 7, 2717])).
% 7.21/4.98 tff(2738,plain,
% 7.21/4.98 (((~![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(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)))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2739,plain,
% 7.21/4.98 ((~![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(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35)))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2740,plain,
% 7.21/4.98 ((~![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(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2739, 2738])).
% 7.21/4.98 tff(2741,plain,
% 7.21/4.98 ((~m_main_v_state(s35, c_ready)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2740, 60, 2737])).
% 7.21/4.98 tff(2742,plain,
% 7.21/4.98 (~m_main_v_request(s35)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2741, 2733, 2729])).
% 7.21/4.98 tff(2743,plain,
% 7.21/4.98 (((~![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)))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2744,plain,
% 7.21/4.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s35) | (~node4(s35)))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2745,plain,
% 7.21/4.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s35) | (~node4(s35))),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 7.21/4.98 tff(2746,plain,
% 7.21/4.98 (~node4(s35)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2745, 28, 2742])).
% 7.21/4.98 tff(2747,plain,
% 7.21/4.98 (~until5(s35)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2671, 2746])).
% 7.21/4.98 tff(2748,plain,
% 7.21/4.98 (~xuntil6(s34)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2700, 2747])).
% 7.21/4.98 tff(2749,plain,
% 7.21/4.98 (node4(s34)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2695, 2748])).
% 7.21/4.98 tff(2750,plain,
% 7.21/4.98 (((~![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)))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2751,plain,
% 7.21/4.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s34) | (~node4(s34)))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2752,plain,
% 7.21/4.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s34) | (~node4(s34))),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2751, 2750])).
% 7.21/4.98 tff(2753,plain,
% 7.21/4.98 (m_main_v_request(s34)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2752, 28, 2749])).
% 7.21/4.98 tff(2754,plain,
% 7.21/4.98 (((~![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))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2755,plain,
% 7.21/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s34, s35)) | node2(s34, s35))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2756,plain,
% 7.21/4.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s34, s35)) | node2(s34, s35)),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 7.21/4.98 tff(2757,plain,
% 7.21/4.98 (node2(s34, s35)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2756, 7, 2679])).
% 7.21/4.98 tff(2758,plain,
% 7.21/4.98 (((~![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(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)))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2759,plain,
% 7.21/4.98 ((~![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(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34)))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2760,plain,
% 7.21/4.98 ((~![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(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2759, 2758])).
% 7.21/4.98 tff(2761,plain,
% 7.21/4.98 ((~m_main_v_state(s34, c_ready)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2760, 60, 2757])).
% 7.21/4.98 tff(2762,plain,
% 7.21/4.98 (~m_main_v_state(s34, c_ready)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2761, 2753, 2710])).
% 7.21/4.98 tff(2763,plain,
% 7.21/4.98 (always3(s34)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2687, 16, 2749])).
% 7.21/4.98 tff(2764,plain,
% 7.21/4.98 (~m_main_v_state(s34, c_busy)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2025, 72, 2763])).
% 7.21/4.98 tff(2765,plain,
% 7.21/4.98 (((~![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))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2766,plain,
% 7.21/4.98 ((~![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))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2767,plain,
% 7.21/4.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready)),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2766, 2765])).
% 7.21/4.98 tff(2768,plain,
% 7.21/4.98 ($false),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2767, 89, 2764, 2762])).
% 7.21/4.98 tff(2769,plain,(xuntil6(s35) | (~until5(s34))), inference(lemma,lemma(discharge,[]))).
% 7.21/4.98 tff(2770,plain,
% 7.21/4.98 (xuntil6(s35)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2769, 2657])).
% 7.21/4.98 tff(2771,plain,
% 7.21/4.98 (((~![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))),
% 7.21/4.98 inference(rewrite,[status(thm)],[])).
% 7.21/4.98 tff(2772,plain,
% 7.21/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))),
% 7.21/4.98 inference(quant_inst,[status(thm)],[])).
% 7.21/4.98 tff(2773,plain,
% 7.21/4.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36)),
% 7.21/4.98 inference(modus_ponens,[status(thm)],[2772, 2771])).
% 7.21/4.98 tff(2774,plain,
% 7.21/4.98 ((~xuntil6(s35)) | until5(s36)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2773, 2713, 370])).
% 7.21/4.98 tff(2775,plain,
% 7.21/4.98 (until5(s36)),
% 7.21/4.98 inference(unit_resolution,[status(thm)],[2774, 2770])).
% 7.21/4.98 tff(2776,assumption,(~xuntil6(s37)), introduced(assumption)).
% 7.21/4.98 tff(2777,assumption,(until5(s37)), introduced(assumption)).
% 7.21/4.99 tff(2778,assumption,(m_main_v_state(s37, c_ready)), introduced(assumption)).
% 7.21/4.99 tff(2779,plain,
% 7.21/4.99 (((~![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)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(2780,plain,
% 7.21/4.99 ((node4(s37) | (~until5(s37)) | xuntil6(s37)) <=> (xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(2781,plain,
% 7.21/4.99 (((~![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))))),
% 7.21/4.99 inference(monotonicity,[status(thm)],[2780])).
% 7.21/4.99 tff(2782,plain,
% 7.21/4.99 (((~![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)))),
% 7.21/4.99 inference(transitivity,[status(thm)],[2781, 2779])).
% 7.21/4.99 tff(2783,plain,
% 7.21/4.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(2784,plain,
% 7.21/4.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37))),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[2783, 2782])).
% 7.21/4.99 tff(2785,plain,
% 7.21/4.99 (xuntil6(s37) | node4(s37)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2784, 352, 2777])).
% 7.21/4.99 tff(2786,plain,
% 7.21/4.99 (node4(s37)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2785, 2776])).
% 7.21/4.99 tff(2787,plain,
% 7.21/4.99 (((~![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)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(2788,plain,
% 7.21/4.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s37) | (~node4(s37)))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(2789,plain,
% 7.21/4.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s37) | (~node4(s37))),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[2788, 2787])).
% 7.21/4.99 tff(2790,plain,
% 7.21/4.99 (m_main_v_request(s37)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2789, 28, 2786])).
% 7.21/4.99 tff(2791,assumption,(~always3(s37)), introduced(assumption)).
% 7.21/4.99 tff(2792,plain,
% 7.21/4.99 (succ(s36, s37) <=> succ(s36, s37)),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(2793,axiom,(succ(s36, s37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound37')).
% 7.21/4.99 tff(2794,plain,
% 7.21/4.99 (succ(s36, s37)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[2793, 2792])).
% 7.21/4.99 tff(2795,plain,
% 7.21/4.99 (((~![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))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(2796,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(2797,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[2796, 2795])).
% 7.21/4.99 tff(2798,plain,
% 7.21/4.99 (trans(s36, s37)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2797, 2794, 39])).
% 7.21/4.99 tff(2799,plain,
% 7.21/4.99 (((~![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))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(2800,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s36, s37)) | (~always3(s36)) | always3(s37))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(2801,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s36, s37)) | (~always3(s36)) | always3(s37)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[2800, 2799])).
% 7.21/4.99 tff(2802,plain,
% 7.21/4.99 ((~always3(s36)) | always3(s37)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2801, 112, 2798])).
% 7.21/4.99 tff(2803,plain,
% 7.21/4.99 (~always3(s36)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2802, 2791])).
% 7.21/4.99 tff(2804,plain,
% 7.21/4.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(2805,plain,
% 7.21/4.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(2806,plain,
% 7.21/4.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36))),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[2805, 2804])).
% 7.21/4.99 tff(2807,plain,
% 7.21/4.99 (~node4(s36)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2806, 16, 2803])).
% 7.21/4.99 tff(2808,plain,
% 7.21/4.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s37) | (~node4(s37)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s37) | (~node4(s37)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(2809,plain,
% 7.21/4.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s37) | (~node4(s37)))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(2810,plain,
% 7.21/4.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s37) | (~node4(s37))),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[2809, 2808])).
% 7.21/4.99 tff(2811,plain,
% 7.21/4.99 (~node4(s37)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2810, 16, 2791])).
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% 7.21/4.99 tff(2924,plain,
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% 7.21/4.99 inference(unit_resolution,[status(thm)],[693, 2923])).
% 7.21/4.99 tff(2925,plain,
% 7.21/4.99 (~always3(s4)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[484, 2924])).
% 7.21/4.99 tff(2926,plain,
% 7.21/4.99 (~always3(s3)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[333, 2925])).
% 7.21/4.99 tff(2927,plain,
% 7.21/4.99 (~always3(s2)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[398, 2926])).
% 7.21/4.99 tff(2928,plain,
% 7.21/4.99 (~always3(s1)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[410, 2927])).
% 7.21/4.99 tff(2929,plain,
% 7.21/4.99 (~node4(s1)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[414, 16, 2928])).
% 7.21/4.99 tff(2930,plain,
% 7.21/4.99 (~always3(s0)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[426, 2928])).
% 7.21/4.99 tff(2931,plain,
% 7.21/4.99 (~node4(s0)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[430, 16, 2930])).
% 7.21/4.99 tff(2932,plain,
% 7.21/4.99 (xuntil6(s0)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[441, 2931])).
% 7.21/4.99 tff(2933,plain,
% 7.21/4.99 (until5(s1)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[446, 2932])).
% 7.21/4.99 tff(2934,plain,
% 7.21/4.99 (xuntil6(s1)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[453, 352, 2933, 2929])).
% 7.21/4.99 tff(2935,plain,
% 7.21/4.99 (until5(s2)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[458, 2934])).
% 7.21/4.99 tff(2936,plain,
% 7.21/4.99 (~node4(s2)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[462, 16, 2927])).
% 7.21/4.99 tff(2937,plain,
% 7.21/4.99 (xuntil6(s2) | (~until5(s2))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[469, 352, 2936])).
% 7.21/4.99 tff(2938,plain,
% 7.21/4.99 (xuntil6(s2)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2937, 2935])).
% 7.21/4.99 tff(2939,plain,
% 7.21/4.99 (until5(s3)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[389, 2938])).
% 7.21/4.99 tff(2940,plain,
% 7.21/4.99 (~node4(s3)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[337, 16, 2926])).
% 7.21/4.99 tff(2941,plain,
% 7.21/4.99 (xuntil6(s3) | (~until5(s3))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[381, 352, 2940])).
% 7.21/4.99 tff(2942,plain,
% 7.21/4.99 (xuntil6(s3)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2941, 2939])).
% 7.21/4.99 tff(2943,plain,
% 7.21/4.99 (until5(s4)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[374, 2942])).
% 7.21/4.99 tff(2944,plain,
% 7.21/4.99 (~node4(s4)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[341, 16, 2925])).
% 7.21/4.99 tff(2945,plain,
% 7.21/4.99 (xuntil6(s4) | (~until5(s4))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[358, 352, 2944])).
% 7.21/4.99 tff(2946,plain,
% 7.21/4.99 (xuntil6(s4)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2945, 2943])).
% 7.21/4.99 tff(2947,plain,
% 7.21/4.99 (until5(s5)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[672, 2946])).
% 7.21/4.99 tff(2948,plain,
% 7.21/4.99 (~node4(s5)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[681, 16, 2924])).
% 7.21/4.99 tff(2949,plain,
% 7.21/4.99 (xuntil6(s5) | (~until5(s5))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[722, 352, 2948])).
% 7.21/4.99 tff(2950,plain,
% 7.21/4.99 (xuntil6(s5)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2949, 2947])).
% 7.21/4.99 tff(2951,plain,
% 7.21/4.99 (until5(s6)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[728, 2950])).
% 7.21/4.99 tff(2952,plain,
% 7.21/4.99 (~node4(s6)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[821, 16, 2923])).
% 7.21/4.99 tff(2953,plain,
% 7.21/4.99 (xuntil6(s6) | (~until5(s6))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[828, 352, 2952])).
% 7.21/4.99 tff(2954,plain,
% 7.21/4.99 (xuntil6(s6)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2953, 2951])).
% 7.21/4.99 tff(2955,plain,
% 7.21/4.99 (until5(s7)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[808, 2954])).
% 7.21/4.99 tff(2956,plain,
% 7.21/4.99 (~node4(s7)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[792, 16, 2922])).
% 7.21/4.99 tff(2957,plain,
% 7.21/4.99 (xuntil6(s7) | (~until5(s7))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[799, 352, 2956])).
% 7.21/4.99 tff(2958,plain,
% 7.21/4.99 (xuntil6(s7)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2957, 2955])).
% 7.21/4.99 tff(2959,plain,
% 7.21/4.99 (until5(s8)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[779, 2958])).
% 7.21/4.99 tff(2960,plain,
% 7.21/4.99 (~node4(s8)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[747, 16, 2921])).
% 7.21/4.99 tff(2961,plain,
% 7.21/4.99 (xuntil6(s8) | (~until5(s8))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[771, 352, 2960])).
% 7.21/4.99 tff(2962,plain,
% 7.21/4.99 (xuntil6(s8)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2961, 2959])).
% 7.21/4.99 tff(2963,plain,
% 7.21/4.99 (until5(s9)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[764, 2962])).
% 7.21/4.99 tff(2964,plain,
% 7.21/4.99 (~node4(s9)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[751, 16, 2920])).
% 7.21/4.99 tff(2965,plain,
% 7.21/4.99 (xuntil6(s9) | (~until5(s9))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[758, 352, 2964])).
% 7.21/4.99 tff(2966,plain,
% 7.21/4.99 (xuntil6(s9)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2965, 2963])).
% 7.21/4.99 tff(2967,plain,
% 7.21/4.99 (until5(s10)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1017, 2966])).
% 7.21/4.99 tff(2968,plain,
% 7.21/4.99 (~node4(s10)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1132, 16, 2919])).
% 7.21/4.99 tff(2969,plain,
% 7.21/4.99 (xuntil6(s10) | (~until5(s10))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1139, 352, 2968])).
% 7.21/4.99 tff(2970,plain,
% 7.21/4.99 (xuntil6(s10)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2969, 2967])).
% 7.21/4.99 tff(2971,plain,
% 7.21/4.99 (until5(s11)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1145, 2970])).
% 7.21/4.99 tff(2972,plain,
% 7.21/4.99 (~node4(s11)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1048, 16, 2918])).
% 7.21/4.99 tff(2973,plain,
% 7.21/4.99 (xuntil6(s11) | (~until5(s11))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1152, 352, 2972])).
% 7.21/4.99 tff(2974,plain,
% 7.21/4.99 (xuntil6(s11)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2973, 2971])).
% 7.21/4.99 tff(2975,plain,
% 7.21/4.99 (until5(s12)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1116, 2974])).
% 7.21/4.99 tff(2976,plain,
% 7.21/4.99 (~node4(s12)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1074, 16, 2917])).
% 7.21/4.99 tff(2977,plain,
% 7.21/4.99 (xuntil6(s12) | (~until5(s12))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1110, 352, 2976])).
% 7.21/4.99 tff(2978,plain,
% 7.21/4.99 (xuntil6(s12)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2977, 2975])).
% 7.21/4.99 tff(2979,plain,
% 7.21/4.99 (until5(s13)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1065, 2978])).
% 7.21/4.99 tff(2980,plain,
% 7.21/4.99 (~node4(s13)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1052, 16, 2916])).
% 7.21/4.99 tff(2981,plain,
% 7.21/4.99 (xuntil6(s13) | (~until5(s13))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1059, 352, 2980])).
% 7.21/4.99 tff(2982,plain,
% 7.21/4.99 (xuntil6(s13)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2981, 2979])).
% 7.21/4.99 tff(2983,plain,
% 7.21/4.99 (until5(s14)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1262, 2982])).
% 7.21/4.99 tff(2984,plain,
% 7.21/4.99 (~node4(s14)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1271, 16, 2915])).
% 7.21/4.99 tff(2985,plain,
% 7.21/4.99 (xuntil6(s14) | (~until5(s14))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1312, 352, 2984])).
% 7.21/4.99 tff(2986,plain,
% 7.21/4.99 (xuntil6(s14)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2985, 2983])).
% 7.21/4.99 tff(2987,plain,
% 7.21/4.99 (until5(s15)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1318, 2986])).
% 7.21/4.99 tff(2988,plain,
% 7.21/4.99 (~node4(s15)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1326, 16, 2914])).
% 7.21/4.99 tff(2989,plain,
% 7.21/4.99 (xuntil6(s15) | (~until5(s15))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1333, 352, 2988])).
% 7.21/4.99 tff(2990,plain,
% 7.21/4.99 (xuntil6(s15)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2989, 2987])).
% 7.21/4.99 tff(2991,plain,
% 7.21/4.99 (until5(s16)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1453, 2990])).
% 7.21/4.99 tff(2992,plain,
% 7.21/4.99 (~node4(s16)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1484, 16, 2913])).
% 7.21/4.99 tff(2993,plain,
% 7.21/4.99 (xuntil6(s16) | (~until5(s16))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1491, 352, 2992])).
% 7.21/4.99 tff(2994,plain,
% 7.21/4.99 (xuntil6(s16)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2993, 2991])).
% 7.21/4.99 tff(2995,plain,
% 7.21/4.99 (until5(s17)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1497, 2994])).
% 7.21/4.99 tff(2996,plain,
% 7.21/4.99 (~node4(s17)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1460, 16, 2912])).
% 7.21/4.99 tff(2997,plain,
% 7.21/4.99 (xuntil6(s17) | (~until5(s17))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1467, 352, 2996])).
% 7.21/4.99 tff(2998,plain,
% 7.21/4.99 (xuntil6(s17)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2997, 2995])).
% 7.21/4.99 tff(2999,plain,
% 7.21/4.99 (until5(s18)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1565, 2998])).
% 7.21/4.99 tff(3000,plain,
% 7.21/4.99 (~node4(s18)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[277, 16, 2911])).
% 7.21/4.99 tff(3001,plain,
% 7.21/4.99 (xuntil6(s18) | (~until5(s18))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1892, 352, 3000])).
% 7.21/4.99 tff(3002,plain,
% 7.21/4.99 (xuntil6(s18)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3001, 2999])).
% 7.21/4.99 tff(3003,plain,
% 7.21/4.99 ($false),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[1898, 3002, 2910])).
% 7.21/4.99 tff(3004,plain,(always3(s37) | xuntil6(s37)), inference(lemma,lemma(discharge,[]))).
% 7.21/4.99 tff(3005,plain,
% 7.21/4.99 (always3(s37)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3004, 2776])).
% 7.21/4.99 tff(3006,plain,
% 7.21/4.99 (succ(s37, s38) <=> succ(s37, s38)),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3007,axiom,(succ(s37, s38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound38')).
% 7.21/4.99 tff(3008,plain,
% 7.21/4.99 (succ(s37, s38)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 7.21/4.99 tff(3009,plain,
% 7.21/4.99 (((~![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))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3010,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3011,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3010, 3009])).
% 7.21/4.99 tff(3012,plain,
% 7.21/4.99 (trans(s37, s38)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3011, 3008, 39])).
% 7.21/4.99 tff(3013,plain,
% 7.21/4.99 (((~![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))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3014,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s37, s38)) | (~always3(s37)) | always3(s38))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3015,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s37, s38)) | (~always3(s37)) | always3(s38)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3014, 3013])).
% 7.21/4.99 tff(3016,plain,
% 7.21/4.99 ((~always3(s37)) | always3(s38)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3015, 112, 3012])).
% 7.21/4.99 tff(3017,plain,
% 7.21/4.99 (always3(s38)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3016, 3005])).
% 7.21/4.99 tff(3018,plain,
% 7.21/4.99 (((~![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)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3019,plain,
% 7.21/4.99 (((~m_main_v_state(s38, c_busy)) | (~always3(s38))) <=> ((~always3(s38)) | (~m_main_v_state(s38, c_busy)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3020,plain,
% 7.21/4.99 (((~![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))))),
% 7.21/4.99 inference(monotonicity,[status(thm)],[3019])).
% 7.21/4.99 tff(3021,plain,
% 7.21/4.99 (((~![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)))),
% 7.21/4.99 inference(transitivity,[status(thm)],[3020, 3018])).
% 7.21/4.99 tff(3022,plain,
% 7.21/4.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s38, c_busy)) | (~always3(s38)))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3023,plain,
% 7.21/4.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s38)) | (~m_main_v_state(s38, c_busy))),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3022, 3021])).
% 7.21/4.99 tff(3024,plain,
% 7.21/4.99 (~m_main_v_state(s38, c_busy)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3023, 72, 3017])).
% 7.21/4.99 tff(3025,plain,
% 7.21/4.99 (((~![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))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3026,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s37, s38)) | node2(s37, s38))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3027,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s37, s38)) | node2(s37, s38)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3026, 3025])).
% 7.21/4.99 tff(3028,plain,
% 7.21/4.99 (node2(s37, s38)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3027, 7, 3012])).
% 7.21/4.99 tff(3029,plain,
% 7.21/4.99 (((~![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(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)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3030,plain,
% 7.21/4.99 ((~![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(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37)))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3031,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3030, 3029])).
% 7.21/4.99 tff(3032,plain,
% 7.21/4.99 ((~m_main_v_state(s37, c_ready)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3031, 60, 3028])).
% 7.21/4.99 tff(3033,plain,
% 7.21/4.99 ($false),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3032, 3024, 2790, 2778])).
% 7.21/4.99 tff(3034,plain,(xuntil6(s37) | (~m_main_v_state(s37, c_ready)) | (~until5(s37))), inference(lemma,lemma(discharge,[]))).
% 7.21/4.99 tff(3035,plain,
% 7.21/4.99 (~m_main_v_state(s37, c_ready)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3034, 2776, 2777])).
% 7.21/4.99 tff(3036,plain,
% 7.21/4.99 (((~![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))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3037,plain,
% 7.21/4.99 ((~![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))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3038,plain,
% 7.21/4.99 ((~![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)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3037, 3036])).
% 7.21/4.99 tff(3039,plain,
% 7.21/4.99 (m_main_v_state(s37, c_busy)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3038, 89, 3035])).
% 7.21/4.99 tff(3040,plain,
% 7.21/4.99 (((~![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)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3041,plain,
% 7.21/4.99 (((~m_main_v_state(s37, c_busy)) | (~always3(s37))) <=> ((~always3(s37)) | (~m_main_v_state(s37, c_busy)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3042,plain,
% 7.21/4.99 (((~![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))))),
% 7.21/4.99 inference(monotonicity,[status(thm)],[3041])).
% 7.21/4.99 tff(3043,plain,
% 7.21/4.99 (((~![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)))),
% 7.21/4.99 inference(transitivity,[status(thm)],[3042, 3040])).
% 7.21/4.99 tff(3044,plain,
% 7.21/4.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s37, c_busy)) | (~always3(s37)))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3045,plain,
% 7.21/4.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s37)) | (~m_main_v_state(s37, c_busy))),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3044, 3043])).
% 7.21/4.99 tff(3046,plain,
% 7.21/4.99 ($false),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3045, 72, 3005, 3039])).
% 7.21/4.99 tff(3047,plain,(xuntil6(s37) | (~until5(s37))), inference(lemma,lemma(discharge,[]))).
% 7.21/4.99 tff(3048,plain,
% 7.21/4.99 (~until5(s37)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3047, 2776])).
% 7.21/4.99 tff(3049,plain,
% 7.21/4.99 (~xuntil6(s36)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2817, 3048])).
% 7.21/4.99 tff(3050,assumption,(until5(s36)), introduced(assumption)).
% 7.21/4.99 tff(3051,plain,
% 7.21/4.99 (xuntil6(s36) | node4(s36)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2824, 352, 3050])).
% 7.21/4.99 tff(3052,plain,
% 7.21/4.99 (node4(s36)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3051, 3049])).
% 7.21/4.99 tff(3053,assumption,(~m_main_v_state(s37, c_busy)), introduced(assumption)).
% 7.21/4.99 tff(3054,assumption,(node4(s36)), introduced(assumption)).
% 7.21/4.99 tff(3055,plain,
% 7.21/4.99 (((~![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)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3056,plain,
% 7.21/4.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s36) | (~node4(s36)))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3057,plain,
% 7.21/4.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s36) | (~node4(s36))),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3056, 3055])).
% 7.21/4.99 tff(3058,plain,
% 7.21/4.99 (m_main_v_request(s36)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3057, 28, 3054])).
% 7.21/4.99 tff(3059,plain,
% 7.21/4.99 (((~![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))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3060,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s36, s37)) | node2(s36, s37))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3061,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s36, s37)) | node2(s36, s37)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3060, 3059])).
% 7.21/4.99 tff(3062,plain,
% 7.21/4.99 (node2(s36, s37)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3061, 7, 2798])).
% 7.21/4.99 tff(3063,plain,
% 7.21/4.99 (((~![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(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)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3064,plain,
% 7.21/4.99 ((~![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(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36)))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3065,plain,
% 7.21/4.99 ((~![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(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3064, 3063])).
% 7.21/4.99 tff(3066,plain,
% 7.21/4.99 ((~m_main_v_state(s36, c_ready)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3065, 60, 3062])).
% 7.21/4.99 tff(3067,plain,
% 7.21/4.99 (~m_main_v_state(s36, c_ready)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3066, 3058, 3053])).
% 7.21/4.99 tff(3068,plain,
% 7.21/4.99 (always3(s36)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2806, 16, 3054])).
% 7.21/4.99 tff(3069,plain,
% 7.21/4.99 (~m_main_v_state(s36, c_busy)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[2728, 72, 3068])).
% 7.21/4.99 tff(3070,plain,
% 7.21/4.99 (((~![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))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3071,plain,
% 7.21/4.99 ((~![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))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3072,plain,
% 7.21/4.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3071, 3070])).
% 7.21/4.99 tff(3073,plain,
% 7.21/4.99 ($false),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3072, 89, 3069, 3067])).
% 7.21/4.99 tff(3074,plain,((~node4(s36)) | m_main_v_state(s37, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.21/4.99 tff(3075,plain,
% 7.21/4.99 (m_main_v_state(s37, c_busy)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3074, 3052])).
% 7.21/4.99 tff(3076,plain,
% 7.21/4.99 ($false),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3045, 72, 3005, 3075])).
% 7.21/4.99 tff(3077,plain,(xuntil6(s37) | (~until5(s36))), inference(lemma,lemma(discharge,[]))).
% 7.21/4.99 tff(3078,plain,
% 7.21/4.99 (xuntil6(s37)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3077, 2775])).
% 7.21/4.99 tff(3079,plain,
% 7.21/4.99 (((~![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))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3080,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3081,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3080, 3079])).
% 7.21/4.99 tff(3082,plain,
% 7.21/4.99 ((~xuntil6(s37)) | until5(s38)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3081, 3008, 370])).
% 7.21/4.99 tff(3083,plain,
% 7.21/4.99 (until5(s38)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3082, 3078])).
% 7.21/4.99 tff(3084,assumption,(node4(s38)), introduced(assumption)).
% 7.21/4.99 tff(3085,plain,
% 7.21/4.99 (((~![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)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3086,plain,
% 7.21/4.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s38) | (~node4(s38)))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3087,plain,
% 7.21/4.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s38) | (~node4(s38))),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3086, 3085])).
% 7.21/4.99 tff(3088,plain,
% 7.21/4.99 (m_main_v_request(s38)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3087, 28, 3084])).
% 7.21/4.99 tff(3089,plain,
% 7.21/4.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3090,plain,
% 7.21/4.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3091,plain,
% 7.21/4.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38))),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3090, 3089])).
% 7.21/4.99 tff(3092,plain,
% 7.21/4.99 (always3(s38)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3091, 16, 3084])).
% 7.21/4.99 tff(3093,plain,
% 7.21/4.99 (succ(s38, s39) <=> succ(s38, s39)),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3094,axiom,(succ(s38, s39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound39')).
% 7.21/4.99 tff(3095,plain,
% 7.21/4.99 (succ(s38, s39)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3094, 3093])).
% 7.21/4.99 tff(3096,plain,
% 7.21/4.99 (((~![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))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3097,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3098,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 7.21/4.99 tff(3099,plain,
% 7.21/4.99 (trans(s38, s39)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3098, 3095, 39])).
% 7.21/4.99 tff(3100,plain,
% 7.21/4.99 (((~![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))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/4.99 tff(3101,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s38, s39)) | (~always3(s38)) | always3(s39))),
% 7.21/4.99 inference(quant_inst,[status(thm)],[])).
% 7.21/4.99 tff(3102,plain,
% 7.21/4.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s38, s39)) | (~always3(s38)) | always3(s39)),
% 7.21/4.99 inference(modus_ponens,[status(thm)],[3101, 3100])).
% 7.21/4.99 tff(3103,plain,
% 7.21/4.99 ((~always3(s38)) | always3(s39)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3102, 112, 3099])).
% 7.21/4.99 tff(3104,plain,
% 7.21/4.99 (always3(s39)),
% 7.21/4.99 inference(unit_resolution,[status(thm)],[3103, 3092])).
% 7.21/4.99 tff(3105,plain,
% 7.21/4.99 (((~![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)))),
% 7.21/4.99 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3106,plain,
% 7.21/5.00 (((~m_main_v_state(s39, c_busy)) | (~always3(s39))) <=> ((~always3(s39)) | (~m_main_v_state(s39, c_busy)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3107,plain,
% 7.21/5.00 (((~![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))))),
% 7.21/5.00 inference(monotonicity,[status(thm)],[3106])).
% 7.21/5.00 tff(3108,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(transitivity,[status(thm)],[3107, 3105])).
% 7.21/5.00 tff(3109,plain,
% 7.21/5.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s39, c_busy)) | (~always3(s39)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3110,plain,
% 7.21/5.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s39)) | (~m_main_v_state(s39, c_busy))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 7.21/5.00 tff(3111,plain,
% 7.21/5.00 (~m_main_v_state(s39, c_busy)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3110, 72, 3104])).
% 7.21/5.00 tff(3112,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3113,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s38, s39)) | node2(s38, s39))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3114,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s38, s39)) | node2(s38, s39)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3113, 3112])).
% 7.21/5.00 tff(3115,plain,
% 7.21/5.00 (node2(s38, s39)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3114, 7, 3099])).
% 7.21/5.00 tff(3116,plain,
% 7.21/5.00 (((~![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(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)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3117,plain,
% 7.21/5.00 ((~![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(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3118,plain,
% 7.21/5.00 ((~![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(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3117, 3116])).
% 7.21/5.00 tff(3119,plain,
% 7.21/5.00 ((~m_main_v_state(s38, c_ready)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3118, 60, 3115])).
% 7.21/5.00 tff(3120,plain,
% 7.21/5.00 (~m_main_v_state(s38, c_ready)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3119, 3111, 3088])).
% 7.21/5.00 tff(3121,plain,
% 7.21/5.00 (~m_main_v_state(s38, c_busy)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3023, 72, 3092])).
% 7.21/5.00 tff(3122,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3123,plain,
% 7.21/5.00 ((~![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))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3124,plain,
% 7.21/5.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s38, c_busy) | m_main_v_state(s38, c_ready)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3123, 3122])).
% 7.21/5.00 tff(3125,plain,
% 7.21/5.00 ($false),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3124, 89, 3121, 3120])).
% 7.21/5.00 tff(3126,plain,(~node4(s38)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.00 tff(3127,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3128,plain,
% 7.21/5.00 ((node4(s38) | (~until5(s38)) | xuntil6(s38)) <=> (xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3129,plain,
% 7.21/5.00 (((~![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))))),
% 7.21/5.00 inference(monotonicity,[status(thm)],[3128])).
% 7.21/5.00 tff(3130,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(transitivity,[status(thm)],[3129, 3127])).
% 7.21/5.00 tff(3131,plain,
% 7.21/5.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3132,plain,
% 7.21/5.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3131, 3130])).
% 7.21/5.00 tff(3133,plain,
% 7.21/5.00 (xuntil6(s38) | (~until5(s38))),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3132, 352, 3126])).
% 7.21/5.00 tff(3134,plain,
% 7.21/5.00 (xuntil6(s38)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3133, 3083])).
% 7.21/5.00 tff(3135,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3136,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3137,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3136, 3135])).
% 7.21/5.00 tff(3138,plain,
% 7.21/5.00 ((~xuntil6(s38)) | until5(s39)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3137, 3095, 370])).
% 7.21/5.00 tff(3139,plain,
% 7.21/5.00 (until5(s39)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3138, 3134])).
% 7.21/5.00 tff(3140,assumption,(node4(s39)), introduced(assumption)).
% 7.21/5.00 tff(3141,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3142,plain,
% 7.21/5.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s39) | (~node4(s39)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3143,plain,
% 7.21/5.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s39) | (~node4(s39))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 7.21/5.00 tff(3144,plain,
% 7.21/5.00 (m_main_v_request(s39)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3143, 28, 3140])).
% 7.21/5.00 tff(3145,plain,
% 7.21/5.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s39) | (~node4(s39)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s39) | (~node4(s39)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3146,plain,
% 7.21/5.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s39) | (~node4(s39)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3147,plain,
% 7.21/5.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s39) | (~node4(s39))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3146, 3145])).
% 7.21/5.00 tff(3148,plain,
% 7.21/5.00 (always3(s39)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3147, 16, 3140])).
% 7.21/5.00 tff(3149,plain,
% 7.21/5.00 (succ(s39, s40) <=> succ(s39, s40)),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3150,axiom,(succ(s39, s40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound40')).
% 7.21/5.00 tff(3151,plain,
% 7.21/5.00 (succ(s39, s40)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3150, 3149])).
% 7.21/5.00 tff(3152,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3153,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3154,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 7.21/5.00 tff(3155,plain,
% 7.21/5.00 (trans(s39, s40)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3154, 3151, 39])).
% 7.21/5.00 tff(3156,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3157,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s39, s40)) | (~always3(s39)) | always3(s40))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3158,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s39, s40)) | (~always3(s39)) | always3(s40)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 7.21/5.00 tff(3159,plain,
% 7.21/5.00 ((~always3(s39)) | always3(s40)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3158, 112, 3155])).
% 7.21/5.00 tff(3160,plain,
% 7.21/5.00 (always3(s40)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3159, 3148])).
% 7.21/5.00 tff(3161,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3162,plain,
% 7.21/5.00 (((~m_main_v_state(s40, c_busy)) | (~always3(s40))) <=> ((~always3(s40)) | (~m_main_v_state(s40, c_busy)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3163,plain,
% 7.21/5.00 (((~![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))))),
% 7.21/5.00 inference(monotonicity,[status(thm)],[3162])).
% 7.21/5.00 tff(3164,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(transitivity,[status(thm)],[3163, 3161])).
% 7.21/5.00 tff(3165,plain,
% 7.21/5.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s40, c_busy)) | (~always3(s40)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3166,plain,
% 7.21/5.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s40)) | (~m_main_v_state(s40, c_busy))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 7.21/5.00 tff(3167,plain,
% 7.21/5.00 (~m_main_v_state(s40, c_busy)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3166, 72, 3160])).
% 7.21/5.00 tff(3168,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3169,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s39, s40)) | node2(s39, s40))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3170,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s39, s40)) | node2(s39, s40)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3169, 3168])).
% 7.21/5.00 tff(3171,plain,
% 7.21/5.00 (node2(s39, s40)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3170, 7, 3155])).
% 7.21/5.00 tff(3172,plain,
% 7.21/5.00 (((~![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(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)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3173,plain,
% 7.21/5.00 ((~![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(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3174,plain,
% 7.21/5.00 ((~![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(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3173, 3172])).
% 7.21/5.00 tff(3175,plain,
% 7.21/5.00 ((~m_main_v_state(s39, c_ready)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3174, 60, 3171])).
% 7.21/5.00 tff(3176,plain,
% 7.21/5.00 (~m_main_v_state(s39, c_ready)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3175, 3167, 3144])).
% 7.21/5.00 tff(3177,plain,
% 7.21/5.00 (~m_main_v_state(s39, c_busy)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3110, 72, 3148])).
% 7.21/5.00 tff(3178,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3179,plain,
% 7.21/5.00 ((~![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))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3180,plain,
% 7.21/5.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3179, 3178])).
% 7.21/5.00 tff(3181,plain,
% 7.21/5.00 ($false),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3180, 89, 3177, 3176])).
% 7.21/5.00 tff(3182,plain,(~node4(s39)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.00 tff(3183,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3184,plain,
% 7.21/5.00 ((node4(s39) | (~until5(s39)) | xuntil6(s39)) <=> (xuntil6(s39) | node4(s39) | (~until5(s39)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3185,plain,
% 7.21/5.00 (((~![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))))),
% 7.21/5.00 inference(monotonicity,[status(thm)],[3184])).
% 7.21/5.00 tff(3186,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(transitivity,[status(thm)],[3185, 3183])).
% 7.21/5.00 tff(3187,plain,
% 7.21/5.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s39) | (~until5(s39)) | xuntil6(s39))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3188,plain,
% 7.21/5.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s39) | node4(s39) | (~until5(s39))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3187, 3186])).
% 7.21/5.00 tff(3189,plain,
% 7.21/5.00 (xuntil6(s39) | (~until5(s39))),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3188, 352, 3182])).
% 7.21/5.00 tff(3190,plain,
% 7.21/5.00 (xuntil6(s39)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3189, 3139])).
% 7.21/5.00 tff(3191,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3192,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3193,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 7.21/5.00 tff(3194,plain,
% 7.21/5.00 ((~xuntil6(s39)) | until5(s40)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3193, 3151, 370])).
% 7.21/5.00 tff(3195,plain,
% 7.21/5.00 (until5(s40)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3194, 3190])).
% 7.21/5.00 tff(3196,assumption,(node4(s40)), introduced(assumption)).
% 7.21/5.00 tff(3197,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3198,plain,
% 7.21/5.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s40) | (~node4(s40)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3199,plain,
% 7.21/5.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s40) | (~node4(s40))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3198, 3197])).
% 7.21/5.00 tff(3200,plain,
% 7.21/5.00 (m_main_v_request(s40)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3199, 28, 3196])).
% 7.21/5.00 tff(3201,plain,
% 7.21/5.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3202,plain,
% 7.21/5.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3203,plain,
% 7.21/5.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3202, 3201])).
% 7.21/5.00 tff(3204,plain,
% 7.21/5.00 (always3(s40)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3203, 16, 3196])).
% 7.21/5.00 tff(3205,plain,
% 7.21/5.00 (succ(s40, s41) <=> succ(s40, s41)),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3206,axiom,(succ(s40, s41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound41')).
% 7.21/5.00 tff(3207,plain,
% 7.21/5.00 (succ(s40, s41)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3206, 3205])).
% 7.21/5.00 tff(3208,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3209,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3210,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3209, 3208])).
% 7.21/5.00 tff(3211,plain,
% 7.21/5.00 (trans(s40, s41)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3210, 3207, 39])).
% 7.21/5.00 tff(3212,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3213,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s40, s41)) | (~always3(s40)) | always3(s41))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3214,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s40, s41)) | (~always3(s40)) | always3(s41)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3213, 3212])).
% 7.21/5.00 tff(3215,plain,
% 7.21/5.00 ((~always3(s40)) | always3(s41)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3214, 112, 3211])).
% 7.21/5.00 tff(3216,plain,
% 7.21/5.00 (always3(s41)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3215, 3204])).
% 7.21/5.00 tff(3217,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3218,plain,
% 7.21/5.00 (((~m_main_v_state(s41, c_busy)) | (~always3(s41))) <=> ((~always3(s41)) | (~m_main_v_state(s41, c_busy)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3219,plain,
% 7.21/5.00 (((~![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))))),
% 7.21/5.00 inference(monotonicity,[status(thm)],[3218])).
% 7.21/5.00 tff(3220,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(transitivity,[status(thm)],[3219, 3217])).
% 7.21/5.00 tff(3221,plain,
% 7.21/5.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s41, c_busy)) | (~always3(s41)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3222,plain,
% 7.21/5.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s41)) | (~m_main_v_state(s41, c_busy))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3221, 3220])).
% 7.21/5.00 tff(3223,plain,
% 7.21/5.00 (~m_main_v_state(s41, c_busy)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3222, 72, 3216])).
% 7.21/5.00 tff(3224,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3225,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s40, s41)) | node2(s40, s41))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3226,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s40, s41)) | node2(s40, s41)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3225, 3224])).
% 7.21/5.00 tff(3227,plain,
% 7.21/5.00 (node2(s40, s41)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3226, 7, 3211])).
% 7.21/5.00 tff(3228,plain,
% 7.21/5.00 (((~![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(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)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3229,plain,
% 7.21/5.00 ((~![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(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3230,plain,
% 7.21/5.00 ((~![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(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3229, 3228])).
% 7.21/5.00 tff(3231,plain,
% 7.21/5.00 ((~m_main_v_state(s40, c_ready)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3230, 60, 3227])).
% 7.21/5.00 tff(3232,plain,
% 7.21/5.00 (~m_main_v_state(s40, c_ready)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3231, 3223, 3200])).
% 7.21/5.00 tff(3233,plain,
% 7.21/5.00 (~m_main_v_state(s40, c_busy)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3166, 72, 3204])).
% 7.21/5.00 tff(3234,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3235,plain,
% 7.21/5.00 ((~![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))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3236,plain,
% 7.21/5.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 7.21/5.00 tff(3237,plain,
% 7.21/5.00 ($false),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3236, 89, 3233, 3232])).
% 7.21/5.00 tff(3238,plain,(~node4(s40)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.00 tff(3239,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3240,plain,
% 7.21/5.00 ((node4(s40) | (~until5(s40)) | xuntil6(s40)) <=> (xuntil6(s40) | node4(s40) | (~until5(s40)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3241,plain,
% 7.21/5.00 (((~![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))))),
% 7.21/5.00 inference(monotonicity,[status(thm)],[3240])).
% 7.21/5.00 tff(3242,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(transitivity,[status(thm)],[3241, 3239])).
% 7.21/5.00 tff(3243,plain,
% 7.21/5.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3244,plain,
% 7.21/5.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s40) | node4(s40) | (~until5(s40))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 7.21/5.00 tff(3245,plain,
% 7.21/5.00 (xuntil6(s40) | (~until5(s40))),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3244, 352, 3238])).
% 7.21/5.00 tff(3246,plain,
% 7.21/5.00 (xuntil6(s40)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3245, 3195])).
% 7.21/5.00 tff(3247,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3248,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3249,plain,
% 7.21/5.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3248, 3247])).
% 7.21/5.00 tff(3250,plain,
% 7.21/5.00 ((~xuntil6(s40)) | until5(s41)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3249, 3207, 370])).
% 7.21/5.00 tff(3251,plain,
% 7.21/5.00 (until5(s41)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3250, 3246])).
% 7.21/5.00 tff(3252,assumption,(node4(s41)), introduced(assumption)).
% 7.21/5.00 tff(3253,plain,
% 7.21/5.00 (((~![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)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3254,plain,
% 7.21/5.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s41) | (~node4(s41)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3255,plain,
% 7.21/5.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s41) | (~node4(s41))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3254, 3253])).
% 7.21/5.00 tff(3256,plain,
% 7.21/5.00 (m_main_v_request(s41)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3255, 28, 3252])).
% 7.21/5.00 tff(3257,plain,
% 7.21/5.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41)))),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3258,plain,
% 7.21/5.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))),
% 7.21/5.00 inference(quant_inst,[status(thm)],[])).
% 7.21/5.00 tff(3259,plain,
% 7.21/5.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41))),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3258, 3257])).
% 7.21/5.00 tff(3260,plain,
% 7.21/5.00 (always3(s41)),
% 7.21/5.00 inference(unit_resolution,[status(thm)],[3259, 16, 3252])).
% 7.21/5.00 tff(3261,plain,
% 7.21/5.00 (succ(s41, s42) <=> succ(s41, s42)),
% 7.21/5.00 inference(rewrite,[status(thm)],[])).
% 7.21/5.00 tff(3262,axiom,(succ(s41, s42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound42')).
% 7.21/5.00 tff(3263,plain,
% 7.21/5.00 (succ(s41, s42)),
% 7.21/5.00 inference(modus_ponens,[status(thm)],[3262, 3261])).
% 7.21/5.00 tff(3264,plain,
% 7.21/5.00 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3265,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3266,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 7.21/5.01 tff(3267,plain,
% 7.21/5.01 (trans(s41, s42)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3266, 3263, 39])).
% 7.21/5.01 tff(3268,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3269,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s41, s42)) | (~always3(s41)) | always3(s42))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3270,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s41, s42)) | (~always3(s41)) | always3(s42)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3269, 3268])).
% 7.21/5.01 tff(3271,plain,
% 7.21/5.01 ((~always3(s41)) | always3(s42)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3270, 112, 3267])).
% 7.21/5.01 tff(3272,plain,
% 7.21/5.01 (always3(s42)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3271, 3260])).
% 7.21/5.01 tff(3273,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3274,plain,
% 7.21/5.01 (((~m_main_v_state(s42, c_busy)) | (~always3(s42))) <=> ((~always3(s42)) | (~m_main_v_state(s42, c_busy)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3275,plain,
% 7.21/5.01 (((~![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))))),
% 7.21/5.01 inference(monotonicity,[status(thm)],[3274])).
% 7.21/5.01 tff(3276,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(transitivity,[status(thm)],[3275, 3273])).
% 7.21/5.01 tff(3277,plain,
% 7.21/5.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s42, c_busy)) | (~always3(s42)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3278,plain,
% 7.21/5.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s42)) | (~m_main_v_state(s42, c_busy))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 7.21/5.01 tff(3279,plain,
% 7.21/5.01 (~m_main_v_state(s42, c_busy)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3278, 72, 3272])).
% 7.21/5.01 tff(3280,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3281,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s41, s42)) | node2(s41, s42))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3282,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s41, s42)) | node2(s41, s42)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 7.21/5.01 tff(3283,plain,
% 7.21/5.01 (node2(s41, s42)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3282, 7, 3267])).
% 7.21/5.01 tff(3284,plain,
% 7.21/5.01 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3285,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3286,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 7.21/5.01 tff(3287,plain,
% 7.21/5.01 ((~m_main_v_state(s41, c_ready)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41))),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3286, 60, 3283])).
% 7.21/5.01 tff(3288,plain,
% 7.21/5.01 (~m_main_v_state(s41, c_ready)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3287, 3279, 3256])).
% 7.21/5.01 tff(3289,plain,
% 7.21/5.01 (~m_main_v_state(s41, c_busy)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3222, 72, 3260])).
% 7.21/5.01 tff(3290,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3291,plain,
% 7.21/5.01 ((~![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))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3292,plain,
% 7.21/5.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s41, c_busy) | m_main_v_state(s41, c_ready)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3291, 3290])).
% 7.21/5.01 tff(3293,plain,
% 7.21/5.01 ($false),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3292, 89, 3289, 3288])).
% 7.21/5.01 tff(3294,plain,(~node4(s41)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.01 tff(3295,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3296,plain,
% 7.21/5.01 ((node4(s41) | (~until5(s41)) | xuntil6(s41)) <=> (xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3297,plain,
% 7.21/5.01 (((~![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))))),
% 7.21/5.01 inference(monotonicity,[status(thm)],[3296])).
% 7.21/5.01 tff(3298,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(transitivity,[status(thm)],[3297, 3295])).
% 7.21/5.01 tff(3299,plain,
% 7.21/5.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3300,plain,
% 7.21/5.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3299, 3298])).
% 7.21/5.01 tff(3301,plain,
% 7.21/5.01 (xuntil6(s41) | (~until5(s41))),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3300, 352, 3294])).
% 7.21/5.01 tff(3302,plain,
% 7.21/5.01 (xuntil6(s41)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3301, 3251])).
% 7.21/5.01 tff(3303,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3304,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3305,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 7.21/5.01 tff(3306,plain,
% 7.21/5.01 ((~xuntil6(s41)) | until5(s42)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3305, 3263, 370])).
% 7.21/5.01 tff(3307,plain,
% 7.21/5.01 (until5(s42)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3306, 3302])).
% 7.21/5.01 tff(3308,assumption,(node4(s42)), introduced(assumption)).
% 7.21/5.01 tff(3309,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3310,plain,
% 7.21/5.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s42) | (~node4(s42)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3311,plain,
% 7.21/5.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s42) | (~node4(s42))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3310, 3309])).
% 7.21/5.01 tff(3312,plain,
% 7.21/5.01 (m_main_v_request(s42)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3311, 28, 3308])).
% 7.21/5.01 tff(3313,plain,
% 7.21/5.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3314,plain,
% 7.21/5.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3315,plain,
% 7.21/5.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3314, 3313])).
% 7.21/5.01 tff(3316,plain,
% 7.21/5.01 (always3(s42)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3315, 16, 3308])).
% 7.21/5.01 tff(3317,plain,
% 7.21/5.01 (succ(s42, s43) <=> succ(s42, s43)),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3318,axiom,(succ(s42, s43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound43')).
% 7.21/5.01 tff(3319,plain,
% 7.21/5.01 (succ(s42, s43)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3318, 3317])).
% 7.21/5.01 tff(3320,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3321,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3322,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3321, 3320])).
% 7.21/5.01 tff(3323,plain,
% 7.21/5.01 (trans(s42, s43)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3322, 3319, 39])).
% 7.21/5.01 tff(3324,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3325,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s42, s43)) | (~always3(s42)) | always3(s43))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3326,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s42, s43)) | (~always3(s42)) | always3(s43)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3325, 3324])).
% 7.21/5.01 tff(3327,plain,
% 7.21/5.01 ((~always3(s42)) | always3(s43)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3326, 112, 3323])).
% 7.21/5.01 tff(3328,plain,
% 7.21/5.01 (always3(s43)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3327, 3316])).
% 7.21/5.01 tff(3329,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3330,plain,
% 7.21/5.01 (((~m_main_v_state(s43, c_busy)) | (~always3(s43))) <=> ((~always3(s43)) | (~m_main_v_state(s43, c_busy)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3331,plain,
% 7.21/5.01 (((~![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))))),
% 7.21/5.01 inference(monotonicity,[status(thm)],[3330])).
% 7.21/5.01 tff(3332,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(transitivity,[status(thm)],[3331, 3329])).
% 7.21/5.01 tff(3333,plain,
% 7.21/5.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s43, c_busy)) | (~always3(s43)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3334,plain,
% 7.21/5.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s43)) | (~m_main_v_state(s43, c_busy))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3333, 3332])).
% 7.21/5.01 tff(3335,plain,
% 7.21/5.01 (~m_main_v_state(s43, c_busy)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3334, 72, 3328])).
% 7.21/5.01 tff(3336,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3337,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s42, s43)) | node2(s42, s43))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3338,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s42, s43)) | node2(s42, s43)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3337, 3336])).
% 7.21/5.01 tff(3339,plain,
% 7.21/5.01 (node2(s42, s43)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3338, 7, 3323])).
% 7.21/5.01 tff(3340,plain,
% 7.21/5.01 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3341,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3342,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3341, 3340])).
% 7.21/5.01 tff(3343,plain,
% 7.21/5.01 ((~m_main_v_state(s42, c_ready)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42))),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3342, 60, 3339])).
% 7.21/5.01 tff(3344,plain,
% 7.21/5.01 (~m_main_v_state(s42, c_ready)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3343, 3335, 3312])).
% 7.21/5.01 tff(3345,plain,
% 7.21/5.01 (~m_main_v_state(s42, c_busy)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3278, 72, 3316])).
% 7.21/5.01 tff(3346,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3347,plain,
% 7.21/5.01 ((~![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))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3348,plain,
% 7.21/5.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s42, c_busy) | m_main_v_state(s42, c_ready)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3347, 3346])).
% 7.21/5.01 tff(3349,plain,
% 7.21/5.01 ($false),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3348, 89, 3345, 3344])).
% 7.21/5.01 tff(3350,plain,(~node4(s42)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.01 tff(3351,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3352,plain,
% 7.21/5.01 ((node4(s42) | (~until5(s42)) | xuntil6(s42)) <=> (xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3353,plain,
% 7.21/5.01 (((~![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))))),
% 7.21/5.01 inference(monotonicity,[status(thm)],[3352])).
% 7.21/5.01 tff(3354,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(transitivity,[status(thm)],[3353, 3351])).
% 7.21/5.01 tff(3355,plain,
% 7.21/5.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3356,plain,
% 7.21/5.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3355, 3354])).
% 7.21/5.01 tff(3357,plain,
% 7.21/5.01 (xuntil6(s42) | (~until5(s42))),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3356, 352, 3350])).
% 7.21/5.01 tff(3358,plain,
% 7.21/5.01 (xuntil6(s42)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3357, 3307])).
% 7.21/5.01 tff(3359,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3360,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3361,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 7.21/5.01 tff(3362,plain,
% 7.21/5.01 ((~xuntil6(s42)) | until5(s43)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3361, 3319, 370])).
% 7.21/5.01 tff(3363,plain,
% 7.21/5.01 (until5(s43)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3362, 3358])).
% 7.21/5.01 tff(3364,assumption,(node4(s43)), introduced(assumption)).
% 7.21/5.01 tff(3365,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3366,plain,
% 7.21/5.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s43) | (~node4(s43)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3367,plain,
% 7.21/5.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s43) | (~node4(s43))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3366, 3365])).
% 7.21/5.01 tff(3368,plain,
% 7.21/5.01 (m_main_v_request(s43)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3367, 28, 3364])).
% 7.21/5.01 tff(3369,plain,
% 7.21/5.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3370,plain,
% 7.21/5.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3371,plain,
% 7.21/5.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3370, 3369])).
% 7.21/5.01 tff(3372,plain,
% 7.21/5.01 (always3(s43)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3371, 16, 3364])).
% 7.21/5.01 tff(3373,plain,
% 7.21/5.01 (succ(s43, s44) <=> succ(s43, s44)),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3374,axiom,(succ(s43, s44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound44')).
% 7.21/5.01 tff(3375,plain,
% 7.21/5.01 (succ(s43, s44)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3374, 3373])).
% 7.21/5.01 tff(3376,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3377,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3378,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3377, 3376])).
% 7.21/5.01 tff(3379,plain,
% 7.21/5.01 (trans(s43, s44)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3378, 3375, 39])).
% 7.21/5.01 tff(3380,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3381,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s43, s44)) | (~always3(s43)) | always3(s44))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3382,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s43, s44)) | (~always3(s43)) | always3(s44)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3381, 3380])).
% 7.21/5.01 tff(3383,plain,
% 7.21/5.01 ((~always3(s43)) | always3(s44)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3382, 112, 3379])).
% 7.21/5.01 tff(3384,plain,
% 7.21/5.01 (always3(s44)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3383, 3372])).
% 7.21/5.01 tff(3385,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3386,plain,
% 7.21/5.01 (((~m_main_v_state(s44, c_busy)) | (~always3(s44))) <=> ((~always3(s44)) | (~m_main_v_state(s44, c_busy)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3387,plain,
% 7.21/5.01 (((~![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))))),
% 7.21/5.01 inference(monotonicity,[status(thm)],[3386])).
% 7.21/5.01 tff(3388,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(transitivity,[status(thm)],[3387, 3385])).
% 7.21/5.01 tff(3389,plain,
% 7.21/5.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s44, c_busy)) | (~always3(s44)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3390,plain,
% 7.21/5.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s44)) | (~m_main_v_state(s44, c_busy))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3389, 3388])).
% 7.21/5.01 tff(3391,plain,
% 7.21/5.01 (~m_main_v_state(s44, c_busy)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3390, 72, 3384])).
% 7.21/5.01 tff(3392,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3393,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s43, s44)) | node2(s43, s44))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3394,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s43, s44)) | node2(s43, s44)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3393, 3392])).
% 7.21/5.01 tff(3395,plain,
% 7.21/5.01 (node2(s43, s44)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3394, 7, 3379])).
% 7.21/5.01 tff(3396,plain,
% 7.21/5.01 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3397,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3398,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3397, 3396])).
% 7.21/5.01 tff(3399,plain,
% 7.21/5.01 ((~m_main_v_state(s43, c_ready)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43))),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3398, 60, 3395])).
% 7.21/5.01 tff(3400,plain,
% 7.21/5.01 (~m_main_v_state(s43, c_ready)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3399, 3391, 3368])).
% 7.21/5.01 tff(3401,plain,
% 7.21/5.01 (~m_main_v_state(s43, c_busy)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3334, 72, 3372])).
% 7.21/5.01 tff(3402,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3403,plain,
% 7.21/5.01 ((~![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))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3404,plain,
% 7.21/5.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s43, c_busy) | m_main_v_state(s43, c_ready)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 7.21/5.01 tff(3405,plain,
% 7.21/5.01 ($false),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3404, 89, 3401, 3400])).
% 7.21/5.01 tff(3406,plain,(~node4(s43)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.01 tff(3407,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3408,plain,
% 7.21/5.01 ((node4(s43) | (~until5(s43)) | xuntil6(s43)) <=> (xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3409,plain,
% 7.21/5.01 (((~![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))))),
% 7.21/5.01 inference(monotonicity,[status(thm)],[3408])).
% 7.21/5.01 tff(3410,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(transitivity,[status(thm)],[3409, 3407])).
% 7.21/5.01 tff(3411,plain,
% 7.21/5.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3412,plain,
% 7.21/5.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 7.21/5.01 tff(3413,plain,
% 7.21/5.01 (xuntil6(s43) | (~until5(s43))),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3412, 352, 3406])).
% 7.21/5.01 tff(3414,plain,
% 7.21/5.01 (xuntil6(s43)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3413, 3363])).
% 7.21/5.01 tff(3415,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3416,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3417,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3416, 3415])).
% 7.21/5.01 tff(3418,plain,
% 7.21/5.01 ((~xuntil6(s43)) | until5(s44)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3417, 3375, 370])).
% 7.21/5.01 tff(3419,plain,
% 7.21/5.01 (until5(s44)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3418, 3414])).
% 7.21/5.01 tff(3420,assumption,(node4(s44)), introduced(assumption)).
% 7.21/5.01 tff(3421,plain,
% 7.21/5.01 (((~![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)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3422,plain,
% 7.21/5.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s44) | (~node4(s44)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3423,plain,
% 7.21/5.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s44) | (~node4(s44))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3422, 3421])).
% 7.21/5.01 tff(3424,plain,
% 7.21/5.01 (m_main_v_request(s44)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3423, 28, 3420])).
% 7.21/5.01 tff(3425,plain,
% 7.21/5.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44)))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3426,plain,
% 7.21/5.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3427,plain,
% 7.21/5.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44))),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3426, 3425])).
% 7.21/5.01 tff(3428,plain,
% 7.21/5.01 (always3(s44)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3427, 16, 3420])).
% 7.21/5.01 tff(3429,plain,
% 7.21/5.01 (succ(s44, s45) <=> succ(s44, s45)),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3430,axiom,(succ(s44, s45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound45')).
% 7.21/5.01 tff(3431,plain,
% 7.21/5.01 (succ(s44, s45)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3430, 3429])).
% 7.21/5.01 tff(3432,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3433,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3434,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 7.21/5.01 inference(modus_ponens,[status(thm)],[3433, 3432])).
% 7.21/5.01 tff(3435,plain,
% 7.21/5.01 (trans(s44, s45)),
% 7.21/5.01 inference(unit_resolution,[status(thm)],[3434, 3431, 39])).
% 7.21/5.01 tff(3436,plain,
% 7.21/5.01 (((~![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))),
% 7.21/5.01 inference(rewrite,[status(thm)],[])).
% 7.21/5.01 tff(3437,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s44, s45)) | (~always3(s44)) | always3(s45))),
% 7.21/5.01 inference(quant_inst,[status(thm)],[])).
% 7.21/5.01 tff(3438,plain,
% 7.21/5.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s44, s45)) | (~always3(s44)) | always3(s45)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3437, 3436])).
% 7.21/5.02 tff(3439,plain,
% 7.21/5.02 ((~always3(s44)) | always3(s45)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3438, 112, 3435])).
% 7.21/5.02 tff(3440,plain,
% 7.21/5.02 (always3(s45)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3439, 3428])).
% 7.21/5.02 tff(3441,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3442,plain,
% 7.21/5.02 (((~m_main_v_state(s45, c_busy)) | (~always3(s45))) <=> ((~always3(s45)) | (~m_main_v_state(s45, c_busy)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3443,plain,
% 7.21/5.02 (((~![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))))),
% 7.21/5.02 inference(monotonicity,[status(thm)],[3442])).
% 7.21/5.02 tff(3444,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(transitivity,[status(thm)],[3443, 3441])).
% 7.21/5.02 tff(3445,plain,
% 7.21/5.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s45, c_busy)) | (~always3(s45)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3446,plain,
% 7.21/5.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s45)) | (~m_main_v_state(s45, c_busy))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3445, 3444])).
% 7.21/5.02 tff(3447,plain,
% 7.21/5.02 (~m_main_v_state(s45, c_busy)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3446, 72, 3440])).
% 7.21/5.02 tff(3448,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3449,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s44, s45)) | node2(s44, s45))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3450,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s44, s45)) | node2(s44, s45)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3449, 3448])).
% 7.21/5.02 tff(3451,plain,
% 7.21/5.02 (node2(s44, s45)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3450, 7, 3435])).
% 7.21/5.02 tff(3452,plain,
% 7.21/5.02 (((~![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(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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3453,plain,
% 7.21/5.02 ((~![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(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3454,plain,
% 7.21/5.02 ((~![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(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3453, 3452])).
% 7.21/5.02 tff(3455,plain,
% 7.21/5.02 ((~m_main_v_state(s44, c_ready)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44))),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3454, 60, 3451])).
% 7.21/5.02 tff(3456,plain,
% 7.21/5.02 (~m_main_v_state(s44, c_ready)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3455, 3447, 3424])).
% 7.21/5.02 tff(3457,plain,
% 7.21/5.02 (~m_main_v_state(s44, c_busy)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3390, 72, 3428])).
% 7.21/5.02 tff(3458,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3459,plain,
% 7.21/5.02 ((~![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))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3460,plain,
% 7.21/5.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s44, c_busy) | m_main_v_state(s44, c_ready)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3459, 3458])).
% 7.21/5.02 tff(3461,plain,
% 7.21/5.02 ($false),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3460, 89, 3457, 3456])).
% 7.21/5.02 tff(3462,plain,(~node4(s44)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.02 tff(3463,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3464,plain,
% 7.21/5.02 ((node4(s44) | (~until5(s44)) | xuntil6(s44)) <=> (xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3465,plain,
% 7.21/5.02 (((~![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))))),
% 7.21/5.02 inference(monotonicity,[status(thm)],[3464])).
% 7.21/5.02 tff(3466,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(transitivity,[status(thm)],[3465, 3463])).
% 7.21/5.02 tff(3467,plain,
% 7.21/5.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3468,plain,
% 7.21/5.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 7.21/5.02 tff(3469,plain,
% 7.21/5.02 (xuntil6(s44) | (~until5(s44))),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3468, 352, 3462])).
% 7.21/5.02 tff(3470,plain,
% 7.21/5.02 (xuntil6(s44)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3469, 3419])).
% 7.21/5.02 tff(3471,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3472,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3473,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3472, 3471])).
% 7.21/5.02 tff(3474,plain,
% 7.21/5.02 ((~xuntil6(s44)) | until5(s45)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3473, 3431, 370])).
% 7.21/5.02 tff(3475,plain,
% 7.21/5.02 (until5(s45)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3474, 3470])).
% 7.21/5.02 tff(3476,assumption,(node4(s45)), introduced(assumption)).
% 7.21/5.02 tff(3477,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3478,plain,
% 7.21/5.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s45) | (~node4(s45)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3479,plain,
% 7.21/5.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s45) | (~node4(s45))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3478, 3477])).
% 7.21/5.02 tff(3480,plain,
% 7.21/5.02 (m_main_v_request(s45)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3479, 28, 3476])).
% 7.21/5.02 tff(3481,plain,
% 7.21/5.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3482,plain,
% 7.21/5.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3483,plain,
% 7.21/5.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 7.21/5.02 tff(3484,plain,
% 7.21/5.02 (always3(s45)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3483, 16, 3476])).
% 7.21/5.02 tff(3485,plain,
% 7.21/5.02 (succ(s45, s46) <=> succ(s45, s46)),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3486,axiom,(succ(s45, s46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound46')).
% 7.21/5.02 tff(3487,plain,
% 7.21/5.02 (succ(s45, s46)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 7.21/5.02 tff(3488,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3489,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3490,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3489, 3488])).
% 7.21/5.02 tff(3491,plain,
% 7.21/5.02 (trans(s45, s46)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3490, 3487, 39])).
% 7.21/5.02 tff(3492,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3493,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s45, s46)) | (~always3(s45)) | always3(s46))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3494,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s45, s46)) | (~always3(s45)) | always3(s46)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 7.21/5.02 tff(3495,plain,
% 7.21/5.02 ((~always3(s45)) | always3(s46)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3494, 112, 3491])).
% 7.21/5.02 tff(3496,plain,
% 7.21/5.02 (always3(s46)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3495, 3484])).
% 7.21/5.02 tff(3497,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3498,plain,
% 7.21/5.02 (((~m_main_v_state(s46, c_busy)) | (~always3(s46))) <=> ((~always3(s46)) | (~m_main_v_state(s46, c_busy)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3499,plain,
% 7.21/5.02 (((~![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))))),
% 7.21/5.02 inference(monotonicity,[status(thm)],[3498])).
% 7.21/5.02 tff(3500,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(transitivity,[status(thm)],[3499, 3497])).
% 7.21/5.02 tff(3501,plain,
% 7.21/5.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s46, c_busy)) | (~always3(s46)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3502,plain,
% 7.21/5.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s46)) | (~m_main_v_state(s46, c_busy))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3501, 3500])).
% 7.21/5.02 tff(3503,plain,
% 7.21/5.02 (~m_main_v_state(s46, c_busy)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3502, 72, 3496])).
% 7.21/5.02 tff(3504,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3505,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s45, s46)) | node2(s45, s46))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3506,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s45, s46)) | node2(s45, s46)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3505, 3504])).
% 7.21/5.02 tff(3507,plain,
% 7.21/5.02 (node2(s45, s46)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3506, 7, 3491])).
% 7.21/5.02 tff(3508,plain,
% 7.21/5.02 (((~![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(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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3509,plain,
% 7.21/5.02 ((~![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(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3510,plain,
% 7.21/5.02 ((~![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(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 7.21/5.02 tff(3511,plain,
% 7.21/5.02 ((~m_main_v_state(s45, c_ready)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45))),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3510, 60, 3507])).
% 7.21/5.02 tff(3512,plain,
% 7.21/5.02 (~m_main_v_state(s45, c_ready)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3511, 3503, 3480])).
% 7.21/5.02 tff(3513,plain,
% 7.21/5.02 (~m_main_v_state(s45, c_busy)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3446, 72, 3484])).
% 7.21/5.02 tff(3514,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3515,plain,
% 7.21/5.02 ((~![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))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3516,plain,
% 7.21/5.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s45, c_busy) | m_main_v_state(s45, c_ready)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3515, 3514])).
% 7.21/5.02 tff(3517,plain,
% 7.21/5.02 ($false),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3516, 89, 3513, 3512])).
% 7.21/5.02 tff(3518,plain,(~node4(s45)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.02 tff(3519,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3520,plain,
% 7.21/5.02 ((node4(s45) | (~until5(s45)) | xuntil6(s45)) <=> (xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3521,plain,
% 7.21/5.02 (((~![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))))),
% 7.21/5.02 inference(monotonicity,[status(thm)],[3520])).
% 7.21/5.02 tff(3522,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(transitivity,[status(thm)],[3521, 3519])).
% 7.21/5.02 tff(3523,plain,
% 7.21/5.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3524,plain,
% 7.21/5.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3523, 3522])).
% 7.21/5.02 tff(3525,plain,
% 7.21/5.02 (xuntil6(s45) | (~until5(s45))),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3524, 352, 3518])).
% 7.21/5.02 tff(3526,plain,
% 7.21/5.02 (xuntil6(s45)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3525, 3475])).
% 7.21/5.02 tff(3527,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3528,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3529,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 7.21/5.02 tff(3530,plain,
% 7.21/5.02 ((~xuntil6(s45)) | until5(s46)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3529, 3487, 370])).
% 7.21/5.02 tff(3531,plain,
% 7.21/5.02 (until5(s46)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3530, 3526])).
% 7.21/5.02 tff(3532,assumption,(node4(s46)), introduced(assumption)).
% 7.21/5.02 tff(3533,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3534,plain,
% 7.21/5.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s46) | (~node4(s46)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3535,plain,
% 7.21/5.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s46) | (~node4(s46))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 7.21/5.02 tff(3536,plain,
% 7.21/5.02 (m_main_v_request(s46)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3535, 28, 3532])).
% 7.21/5.02 tff(3537,plain,
% 7.21/5.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3538,plain,
% 7.21/5.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3539,plain,
% 7.21/5.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3538, 3537])).
% 7.21/5.02 tff(3540,plain,
% 7.21/5.02 (always3(s46)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3539, 16, 3532])).
% 7.21/5.02 tff(3541,plain,
% 7.21/5.02 (succ(s46, s47) <=> succ(s46, s47)),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3542,axiom,(succ(s46, s47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound47')).
% 7.21/5.02 tff(3543,plain,
% 7.21/5.02 (succ(s46, s47)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3542, 3541])).
% 7.21/5.02 tff(3544,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3545,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3546,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3545, 3544])).
% 7.21/5.02 tff(3547,plain,
% 7.21/5.02 (trans(s46, s47)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3546, 3543, 39])).
% 7.21/5.02 tff(3548,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3549,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s46, s47)) | (~always3(s46)) | always3(s47))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3550,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s46, s47)) | (~always3(s46)) | always3(s47)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 7.21/5.02 tff(3551,plain,
% 7.21/5.02 ((~always3(s46)) | always3(s47)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3550, 112, 3547])).
% 7.21/5.02 tff(3552,plain,
% 7.21/5.02 (always3(s47)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3551, 3540])).
% 7.21/5.02 tff(3553,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3554,plain,
% 7.21/5.02 (((~m_main_v_state(s47, c_busy)) | (~always3(s47))) <=> ((~always3(s47)) | (~m_main_v_state(s47, c_busy)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3555,plain,
% 7.21/5.02 (((~![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))))),
% 7.21/5.02 inference(monotonicity,[status(thm)],[3554])).
% 7.21/5.02 tff(3556,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(transitivity,[status(thm)],[3555, 3553])).
% 7.21/5.02 tff(3557,plain,
% 7.21/5.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s47, c_busy)) | (~always3(s47)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3558,plain,
% 7.21/5.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s47)) | (~m_main_v_state(s47, c_busy))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 7.21/5.02 tff(3559,plain,
% 7.21/5.02 (~m_main_v_state(s47, c_busy)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3558, 72, 3552])).
% 7.21/5.02 tff(3560,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3561,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s46, s47)) | node2(s46, s47))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3562,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s46, s47)) | node2(s46, s47)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3561, 3560])).
% 7.21/5.02 tff(3563,plain,
% 7.21/5.02 (node2(s46, s47)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3562, 7, 3547])).
% 7.21/5.02 tff(3564,plain,
% 7.21/5.02 (((~![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(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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3565,plain,
% 7.21/5.02 ((~![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(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3566,plain,
% 7.21/5.02 ((~![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(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3565, 3564])).
% 7.21/5.02 tff(3567,plain,
% 7.21/5.02 ((~m_main_v_state(s46, c_ready)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3566, 60, 3563])).
% 7.21/5.02 tff(3568,plain,
% 7.21/5.02 (~m_main_v_state(s46, c_ready)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3567, 3559, 3536])).
% 7.21/5.02 tff(3569,plain,
% 7.21/5.02 (~m_main_v_state(s46, c_busy)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3502, 72, 3540])).
% 7.21/5.02 tff(3570,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3571,plain,
% 7.21/5.02 ((~![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))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3572,plain,
% 7.21/5.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3571, 3570])).
% 7.21/5.02 tff(3573,plain,
% 7.21/5.02 ($false),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3572, 89, 3569, 3568])).
% 7.21/5.02 tff(3574,plain,(~node4(s46)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.02 tff(3575,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3576,plain,
% 7.21/5.02 ((node4(s46) | (~until5(s46)) | xuntil6(s46)) <=> (xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3577,plain,
% 7.21/5.02 (((~![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))))),
% 7.21/5.02 inference(monotonicity,[status(thm)],[3576])).
% 7.21/5.02 tff(3578,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(transitivity,[status(thm)],[3577, 3575])).
% 7.21/5.02 tff(3579,plain,
% 7.21/5.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3580,plain,
% 7.21/5.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3579, 3578])).
% 7.21/5.02 tff(3581,plain,
% 7.21/5.02 (xuntil6(s46) | (~until5(s46))),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3580, 352, 3574])).
% 7.21/5.02 tff(3582,plain,
% 7.21/5.02 (xuntil6(s46)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3581, 3531])).
% 7.21/5.02 tff(3583,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3584,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3585,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 7.21/5.02 tff(3586,plain,
% 7.21/5.02 ((~xuntil6(s46)) | until5(s47)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3585, 3543, 370])).
% 7.21/5.02 tff(3587,plain,
% 7.21/5.02 (until5(s47)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3586, 3582])).
% 7.21/5.02 tff(3588,assumption,(node4(s47)), introduced(assumption)).
% 7.21/5.02 tff(3589,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3590,plain,
% 7.21/5.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s47) | (~node4(s47)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3591,plain,
% 7.21/5.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s47) | (~node4(s47))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3590, 3589])).
% 7.21/5.02 tff(3592,plain,
% 7.21/5.02 (m_main_v_request(s47)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3591, 28, 3588])).
% 7.21/5.02 tff(3593,plain,
% 7.21/5.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3594,plain,
% 7.21/5.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3595,plain,
% 7.21/5.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47))),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3594, 3593])).
% 7.21/5.02 tff(3596,plain,
% 7.21/5.02 (always3(s47)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3595, 16, 3588])).
% 7.21/5.02 tff(3597,plain,
% 7.21/5.02 (succ(s47, s48) <=> succ(s47, s48)),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3598,axiom,(succ(s47, s48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound48')).
% 7.21/5.02 tff(3599,plain,
% 7.21/5.02 (succ(s47, s48)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3598, 3597])).
% 7.21/5.02 tff(3600,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3601,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3602,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 7.21/5.02 tff(3603,plain,
% 7.21/5.02 (trans(s47, s48)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3602, 3599, 39])).
% 7.21/5.02 tff(3604,plain,
% 7.21/5.02 (((~![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))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3605,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s47, s48)) | (~always3(s47)) | always3(s48))),
% 7.21/5.02 inference(quant_inst,[status(thm)],[])).
% 7.21/5.02 tff(3606,plain,
% 7.21/5.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s47, s48)) | (~always3(s47)) | always3(s48)),
% 7.21/5.02 inference(modus_ponens,[status(thm)],[3605, 3604])).
% 7.21/5.02 tff(3607,plain,
% 7.21/5.02 ((~always3(s47)) | always3(s48)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3606, 112, 3603])).
% 7.21/5.02 tff(3608,plain,
% 7.21/5.02 (always3(s48)),
% 7.21/5.02 inference(unit_resolution,[status(thm)],[3607, 3596])).
% 7.21/5.02 tff(3609,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3610,plain,
% 7.21/5.02 (((~m_main_v_state(s48, c_busy)) | (~always3(s48))) <=> ((~always3(s48)) | (~m_main_v_state(s48, c_busy)))),
% 7.21/5.02 inference(rewrite,[status(thm)],[])).
% 7.21/5.02 tff(3611,plain,
% 7.21/5.02 (((~![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))))),
% 7.21/5.02 inference(monotonicity,[status(thm)],[3610])).
% 7.21/5.02 tff(3612,plain,
% 7.21/5.02 (((~![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)))),
% 7.21/5.03 inference(transitivity,[status(thm)],[3611, 3609])).
% 7.21/5.03 tff(3613,plain,
% 7.21/5.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s48, c_busy)) | (~always3(s48)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3614,plain,
% 7.21/5.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s48)) | (~m_main_v_state(s48, c_busy))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3613, 3612])).
% 7.21/5.03 tff(3615,plain,
% 7.21/5.03 (~m_main_v_state(s48, c_busy)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3614, 72, 3608])).
% 7.21/5.03 tff(3616,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3617,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s47, s48)) | node2(s47, s48))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3618,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s47, s48)) | node2(s47, s48)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3617, 3616])).
% 7.21/5.03 tff(3619,plain,
% 7.21/5.03 (node2(s47, s48)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3618, 7, 3603])).
% 7.21/5.03 tff(3620,plain,
% 7.21/5.03 (((~![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(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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3621,plain,
% 7.21/5.03 ((~![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(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3622,plain,
% 7.21/5.03 ((~![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(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3621, 3620])).
% 7.21/5.03 tff(3623,plain,
% 7.21/5.03 ((~m_main_v_state(s47, c_ready)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47))),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3622, 60, 3619])).
% 7.21/5.03 tff(3624,plain,
% 7.21/5.03 (~m_main_v_state(s47, c_ready)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3623, 3615, 3592])).
% 7.21/5.03 tff(3625,plain,
% 7.21/5.03 (~m_main_v_state(s47, c_busy)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3558, 72, 3596])).
% 7.21/5.03 tff(3626,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3627,plain,
% 7.21/5.03 ((~![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))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3628,plain,
% 7.21/5.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s47, c_busy) | m_main_v_state(s47, c_ready)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3627, 3626])).
% 7.21/5.03 tff(3629,plain,
% 7.21/5.03 ($false),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3628, 89, 3625, 3624])).
% 7.21/5.03 tff(3630,plain,(~node4(s47)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.03 tff(3631,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3632,plain,
% 7.21/5.03 ((node4(s47) | (~until5(s47)) | xuntil6(s47)) <=> (xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3633,plain,
% 7.21/5.03 (((~![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))))),
% 7.21/5.03 inference(monotonicity,[status(thm)],[3632])).
% 7.21/5.03 tff(3634,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(transitivity,[status(thm)],[3633, 3631])).
% 7.21/5.03 tff(3635,plain,
% 7.21/5.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3636,plain,
% 7.21/5.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3635, 3634])).
% 7.21/5.03 tff(3637,plain,
% 7.21/5.03 (xuntil6(s47) | (~until5(s47))),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3636, 352, 3630])).
% 7.21/5.03 tff(3638,plain,
% 7.21/5.03 (xuntil6(s47)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3637, 3587])).
% 7.21/5.03 tff(3639,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3640,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3641,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3640, 3639])).
% 7.21/5.03 tff(3642,plain,
% 7.21/5.03 ((~xuntil6(s47)) | until5(s48)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3641, 3599, 370])).
% 7.21/5.03 tff(3643,plain,
% 7.21/5.03 (until5(s48)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3642, 3638])).
% 7.21/5.03 tff(3644,assumption,(node4(s48)), introduced(assumption)).
% 7.21/5.03 tff(3645,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3646,plain,
% 7.21/5.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s48) | (~node4(s48)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3647,plain,
% 7.21/5.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s48) | (~node4(s48))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3646, 3645])).
% 7.21/5.03 tff(3648,plain,
% 7.21/5.03 (m_main_v_request(s48)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3647, 28, 3644])).
% 7.21/5.03 tff(3649,plain,
% 7.21/5.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3650,plain,
% 7.21/5.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3651,plain,
% 7.21/5.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3650, 3649])).
% 7.21/5.03 tff(3652,plain,
% 7.21/5.03 (always3(s48)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3651, 16, 3644])).
% 7.21/5.03 tff(3653,plain,
% 7.21/5.03 (succ(s48, s49) <=> succ(s48, s49)),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3654,axiom,(succ(s48, s49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound49')).
% 7.21/5.03 tff(3655,plain,
% 7.21/5.03 (succ(s48, s49)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3654, 3653])).
% 7.21/5.03 tff(3656,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3657,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3658,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3657, 3656])).
% 7.21/5.03 tff(3659,plain,
% 7.21/5.03 (trans(s48, s49)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3658, 3655, 39])).
% 7.21/5.03 tff(3660,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3661,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s48, s49)) | (~always3(s48)) | always3(s49))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3662,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s48, s49)) | (~always3(s48)) | always3(s49)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3661, 3660])).
% 7.21/5.03 tff(3663,plain,
% 7.21/5.03 ((~always3(s48)) | always3(s49)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3662, 112, 3659])).
% 7.21/5.03 tff(3664,plain,
% 7.21/5.03 (always3(s49)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3663, 3652])).
% 7.21/5.03 tff(3665,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3666,plain,
% 7.21/5.03 (((~m_main_v_state(s49, c_busy)) | (~always3(s49))) <=> ((~always3(s49)) | (~m_main_v_state(s49, c_busy)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3667,plain,
% 7.21/5.03 (((~![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))))),
% 7.21/5.03 inference(monotonicity,[status(thm)],[3666])).
% 7.21/5.03 tff(3668,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(transitivity,[status(thm)],[3667, 3665])).
% 7.21/5.03 tff(3669,plain,
% 7.21/5.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s49, c_busy)) | (~always3(s49)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3670,plain,
% 7.21/5.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s49)) | (~m_main_v_state(s49, c_busy))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 7.21/5.03 tff(3671,plain,
% 7.21/5.03 (~m_main_v_state(s49, c_busy)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3670, 72, 3664])).
% 7.21/5.03 tff(3672,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3673,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s48, s49)) | node2(s48, s49))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3674,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s48, s49)) | node2(s48, s49)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 7.21/5.03 tff(3675,plain,
% 7.21/5.03 (node2(s48, s49)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3674, 7, 3659])).
% 7.21/5.03 tff(3676,plain,
% 7.21/5.03 (((~![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(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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3677,plain,
% 7.21/5.03 ((~![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(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3678,plain,
% 7.21/5.03 ((~![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(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3677, 3676])).
% 7.21/5.03 tff(3679,plain,
% 7.21/5.03 ((~m_main_v_state(s48, c_ready)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3678, 60, 3675])).
% 7.21/5.03 tff(3680,plain,
% 7.21/5.03 (~m_main_v_state(s48, c_ready)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3679, 3671, 3648])).
% 7.21/5.03 tff(3681,plain,
% 7.21/5.03 (~m_main_v_state(s48, c_busy)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3614, 72, 3652])).
% 7.21/5.03 tff(3682,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3683,plain,
% 7.21/5.03 ((~![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))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3684,plain,
% 7.21/5.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s48, c_busy) | m_main_v_state(s48, c_ready)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3683, 3682])).
% 7.21/5.03 tff(3685,plain,
% 7.21/5.03 ($false),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3684, 89, 3681, 3680])).
% 7.21/5.03 tff(3686,plain,(~node4(s48)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.03 tff(3687,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3688,plain,
% 7.21/5.03 ((node4(s48) | (~until5(s48)) | xuntil6(s48)) <=> (xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3689,plain,
% 7.21/5.03 (((~![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))))),
% 7.21/5.03 inference(monotonicity,[status(thm)],[3688])).
% 7.21/5.03 tff(3690,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(transitivity,[status(thm)],[3689, 3687])).
% 7.21/5.03 tff(3691,plain,
% 7.21/5.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3692,plain,
% 7.21/5.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3691, 3690])).
% 7.21/5.03 tff(3693,plain,
% 7.21/5.03 (xuntil6(s48) | (~until5(s48))),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3692, 352, 3686])).
% 7.21/5.03 tff(3694,plain,
% 7.21/5.03 (xuntil6(s48)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3693, 3643])).
% 7.21/5.03 tff(3695,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3696,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3697,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3696, 3695])).
% 7.21/5.03 tff(3698,plain,
% 7.21/5.03 ((~xuntil6(s48)) | until5(s49)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3697, 3655, 370])).
% 7.21/5.03 tff(3699,plain,
% 7.21/5.03 (until5(s49)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3698, 3694])).
% 7.21/5.03 tff(3700,assumption,(node4(s49)), introduced(assumption)).
% 7.21/5.03 tff(3701,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3702,plain,
% 7.21/5.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s49) | (~node4(s49)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3703,plain,
% 7.21/5.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s49) | (~node4(s49))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 7.21/5.03 tff(3704,plain,
% 7.21/5.03 (m_main_v_request(s49)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3703, 28, 3700])).
% 7.21/5.03 tff(3705,plain,
% 7.21/5.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3706,plain,
% 7.21/5.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3707,plain,
% 7.21/5.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 7.21/5.03 tff(3708,plain,
% 7.21/5.03 (always3(s49)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3707, 16, 3700])).
% 7.21/5.03 tff(3709,plain,
% 7.21/5.03 (succ(s49, s50) <=> succ(s49, s50)),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3710,axiom,(succ(s49, s50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound50')).
% 7.21/5.03 tff(3711,plain,
% 7.21/5.03 (succ(s49, s50)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 7.21/5.03 tff(3712,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3713,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3714,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 7.21/5.03 tff(3715,plain,
% 7.21/5.03 (trans(s49, s50)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3714, 3711, 39])).
% 7.21/5.03 tff(3716,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3717,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s50)) | (~always3(s49)) | always3(s50))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3718,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s49, s50)) | (~always3(s49)) | always3(s50)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 7.21/5.03 tff(3719,plain,
% 7.21/5.03 ((~always3(s49)) | always3(s50)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3718, 112, 3715])).
% 7.21/5.03 tff(3720,plain,
% 7.21/5.03 (always3(s50)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3719, 3708])).
% 7.21/5.03 tff(3721,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3722,plain,
% 7.21/5.03 (((~m_main_v_state(s50, c_busy)) | (~always3(s50))) <=> ((~always3(s50)) | (~m_main_v_state(s50, c_busy)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3723,plain,
% 7.21/5.03 (((~![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))))),
% 7.21/5.03 inference(monotonicity,[status(thm)],[3722])).
% 7.21/5.03 tff(3724,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(transitivity,[status(thm)],[3723, 3721])).
% 7.21/5.03 tff(3725,plain,
% 7.21/5.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s50, c_busy)) | (~always3(s50)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3726,plain,
% 7.21/5.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s50)) | (~m_main_v_state(s50, c_busy))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3725, 3724])).
% 7.21/5.03 tff(3727,plain,
% 7.21/5.03 (~m_main_v_state(s50, c_busy)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3726, 72, 3720])).
% 7.21/5.03 tff(3728,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3729,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s50)) | node2(s49, s50))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3730,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s50)) | node2(s49, s50)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 7.21/5.03 tff(3731,plain,
% 7.21/5.03 (node2(s49, s50)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3730, 7, 3715])).
% 7.21/5.03 tff(3732,plain,
% 7.21/5.03 (((~![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(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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3733,plain,
% 7.21/5.03 ((~![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(s49, c_ready)) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3734,plain,
% 7.21/5.03 ((~![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(s49, c_ready)) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3733, 3732])).
% 7.21/5.03 tff(3735,plain,
% 7.21/5.03 ((~m_main_v_state(s49, c_ready)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49))),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3734, 60, 3731])).
% 7.21/5.03 tff(3736,plain,
% 7.21/5.03 (~m_main_v_state(s49, c_ready)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3735, 3727, 3704])).
% 7.21/5.03 tff(3737,plain,
% 7.21/5.03 (~m_main_v_state(s49, c_busy)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3670, 72, 3708])).
% 7.21/5.03 tff(3738,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3739,plain,
% 7.21/5.03 ((~![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))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3740,plain,
% 7.21/5.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3739, 3738])).
% 7.21/5.03 tff(3741,plain,
% 7.21/5.03 ($false),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3740, 89, 3737, 3736])).
% 7.21/5.03 tff(3742,plain,(~node4(s49)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.03 tff(3743,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3744,plain,
% 7.21/5.03 ((node4(s49) | (~until5(s49)) | xuntil6(s49)) <=> (xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3745,plain,
% 7.21/5.03 (((~![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))))),
% 7.21/5.03 inference(monotonicity,[status(thm)],[3744])).
% 7.21/5.03 tff(3746,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(transitivity,[status(thm)],[3745, 3743])).
% 7.21/5.03 tff(3747,plain,
% 7.21/5.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3748,plain,
% 7.21/5.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3747, 3746])).
% 7.21/5.03 tff(3749,plain,
% 7.21/5.03 (xuntil6(s49) | (~until5(s49))),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3748, 352, 3742])).
% 7.21/5.03 tff(3750,plain,
% 7.21/5.03 (xuntil6(s49)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3749, 3699])).
% 7.21/5.03 tff(3751,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3752,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3753,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3752, 3751])).
% 7.21/5.03 tff(3754,plain,
% 7.21/5.03 ((~xuntil6(s49)) | until5(s50)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3753, 3711, 370])).
% 7.21/5.03 tff(3755,plain,
% 7.21/5.03 (until5(s50)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3754, 3750])).
% 7.21/5.03 tff(3756,assumption,(node4(s50)), introduced(assumption)).
% 7.21/5.03 tff(3757,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3758,plain,
% 7.21/5.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s50) | (~node4(s50)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3759,plain,
% 7.21/5.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s50) | (~node4(s50))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 7.21/5.03 tff(3760,plain,
% 7.21/5.03 (m_main_v_request(s50)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3759, 28, 3756])).
% 7.21/5.03 tff(3761,plain,
% 7.21/5.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s50) | (~node4(s50)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s50) | (~node4(s50)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3762,plain,
% 7.21/5.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s50) | (~node4(s50)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3763,plain,
% 7.21/5.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s50) | (~node4(s50))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 7.21/5.03 tff(3764,plain,
% 7.21/5.03 (always3(s50)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3763, 16, 3756])).
% 7.21/5.03 tff(3765,plain,
% 7.21/5.03 (succ(s50, s51) <=> succ(s50, s51)),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3766,axiom,(succ(s50, s51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound51')).
% 7.21/5.03 tff(3767,plain,
% 7.21/5.03 (succ(s50, s51)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 7.21/5.03 tff(3768,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3769,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3770,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 7.21/5.03 tff(3771,plain,
% 7.21/5.03 (trans(s50, s51)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3770, 3767, 39])).
% 7.21/5.03 tff(3772,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3773,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s50, s51)) | (~always3(s50)) | always3(s51))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3774,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s50, s51)) | (~always3(s50)) | always3(s51)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 7.21/5.03 tff(3775,plain,
% 7.21/5.03 ((~always3(s50)) | always3(s51)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3774, 112, 3771])).
% 7.21/5.03 tff(3776,plain,
% 7.21/5.03 (always3(s51)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3775, 3764])).
% 7.21/5.03 tff(3777,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3778,plain,
% 7.21/5.03 (((~m_main_v_state(s51, c_busy)) | (~always3(s51))) <=> ((~always3(s51)) | (~m_main_v_state(s51, c_busy)))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3779,plain,
% 7.21/5.03 (((~![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))))),
% 7.21/5.03 inference(monotonicity,[status(thm)],[3778])).
% 7.21/5.03 tff(3780,plain,
% 7.21/5.03 (((~![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)))),
% 7.21/5.03 inference(transitivity,[status(thm)],[3779, 3777])).
% 7.21/5.03 tff(3781,plain,
% 7.21/5.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s51, c_busy)) | (~always3(s51)))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3782,plain,
% 7.21/5.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s51)) | (~m_main_v_state(s51, c_busy))),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 7.21/5.03 tff(3783,plain,
% 7.21/5.03 (~m_main_v_state(s51, c_busy)),
% 7.21/5.03 inference(unit_resolution,[status(thm)],[3782, 72, 3776])).
% 7.21/5.03 tff(3784,plain,
% 7.21/5.03 (((~![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))),
% 7.21/5.03 inference(rewrite,[status(thm)],[])).
% 7.21/5.03 tff(3785,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s50, s51)) | node2(s50, s51))),
% 7.21/5.03 inference(quant_inst,[status(thm)],[])).
% 7.21/5.03 tff(3786,plain,
% 7.21/5.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s50, s51)) | node2(s50, s51)),
% 7.21/5.03 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 7.21/5.03 tff(3787,plain,
% 7.21/5.04 (node2(s50, s51)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3786, 7, 3771])).
% 7.21/5.04 tff(3788,plain,
% 7.21/5.04 (((~![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(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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3789,plain,
% 7.21/5.04 ((~![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(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3790,plain,
% 7.21/5.04 ((~![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(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 7.21/5.04 tff(3791,plain,
% 7.21/5.04 ((~m_main_v_state(s50, c_ready)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50))),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3790, 60, 3787])).
% 7.21/5.04 tff(3792,plain,
% 7.21/5.04 (~m_main_v_state(s50, c_ready)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3791, 3783, 3760])).
% 7.21/5.04 tff(3793,plain,
% 7.21/5.04 (~m_main_v_state(s50, c_busy)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3726, 72, 3764])).
% 7.21/5.04 tff(3794,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3795,plain,
% 7.21/5.04 ((~![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))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3796,plain,
% 7.21/5.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3795, 3794])).
% 7.21/5.04 tff(3797,plain,
% 7.21/5.04 ($false),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3796, 89, 3793, 3792])).
% 7.21/5.04 tff(3798,plain,(~node4(s50)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.04 tff(3799,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3800,plain,
% 7.21/5.04 ((node4(s50) | (~until5(s50)) | xuntil6(s50)) <=> (xuntil6(s50) | node4(s50) | (~until5(s50)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3801,plain,
% 7.21/5.04 (((~![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))))),
% 7.21/5.04 inference(monotonicity,[status(thm)],[3800])).
% 7.21/5.04 tff(3802,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(transitivity,[status(thm)],[3801, 3799])).
% 7.21/5.04 tff(3803,plain,
% 7.21/5.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s50) | (~until5(s50)) | xuntil6(s50))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3804,plain,
% 7.21/5.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s50) | node4(s50) | (~until5(s50))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3803, 3802])).
% 7.21/5.04 tff(3805,plain,
% 7.21/5.04 (xuntil6(s50) | (~until5(s50))),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3804, 352, 3798])).
% 7.21/5.04 tff(3806,plain,
% 7.21/5.04 (xuntil6(s50)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3805, 3755])).
% 7.21/5.04 tff(3807,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3808,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3809,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3808, 3807])).
% 7.21/5.04 tff(3810,plain,
% 7.21/5.04 ((~xuntil6(s50)) | until5(s51)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3809, 3767, 370])).
% 7.21/5.04 tff(3811,plain,
% 7.21/5.04 (until5(s51)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3810, 3806])).
% 7.21/5.04 tff(3812,assumption,(node4(s51)), introduced(assumption)).
% 7.21/5.04 tff(3813,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3814,plain,
% 7.21/5.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s51) | (~node4(s51)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3815,plain,
% 7.21/5.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s51) | (~node4(s51))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3814, 3813])).
% 7.21/5.04 tff(3816,plain,
% 7.21/5.04 (m_main_v_request(s51)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3815, 28, 3812])).
% 7.21/5.04 tff(3817,plain,
% 7.21/5.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s51) | (~node4(s51)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s51) | (~node4(s51)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3818,plain,
% 7.21/5.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s51) | (~node4(s51)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3819,plain,
% 7.21/5.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s51) | (~node4(s51))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3818, 3817])).
% 7.21/5.04 tff(3820,plain,
% 7.21/5.04 (always3(s51)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3819, 16, 3812])).
% 7.21/5.04 tff(3821,plain,
% 7.21/5.04 (succ(s51, s52) <=> succ(s51, s52)),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3822,axiom,(succ(s51, s52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound52')).
% 7.21/5.04 tff(3823,plain,
% 7.21/5.04 (succ(s51, s52)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3822, 3821])).
% 7.21/5.04 tff(3824,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3825,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3826,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3825, 3824])).
% 7.21/5.04 tff(3827,plain,
% 7.21/5.04 (trans(s51, s52)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3826, 3823, 39])).
% 7.21/5.04 tff(3828,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3829,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s51, s52)) | (~always3(s51)) | always3(s52))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3830,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s51, s52)) | (~always3(s51)) | always3(s52)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3829, 3828])).
% 7.21/5.04 tff(3831,plain,
% 7.21/5.04 ((~always3(s51)) | always3(s52)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3830, 112, 3827])).
% 7.21/5.04 tff(3832,plain,
% 7.21/5.04 (always3(s52)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3831, 3820])).
% 7.21/5.04 tff(3833,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3834,plain,
% 7.21/5.04 (((~m_main_v_state(s52, c_busy)) | (~always3(s52))) <=> ((~always3(s52)) | (~m_main_v_state(s52, c_busy)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3835,plain,
% 7.21/5.04 (((~![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))))),
% 7.21/5.04 inference(monotonicity,[status(thm)],[3834])).
% 7.21/5.04 tff(3836,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(transitivity,[status(thm)],[3835, 3833])).
% 7.21/5.04 tff(3837,plain,
% 7.21/5.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s52, c_busy)) | (~always3(s52)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3838,plain,
% 7.21/5.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s52)) | (~m_main_v_state(s52, c_busy))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3837, 3836])).
% 7.21/5.04 tff(3839,plain,
% 7.21/5.04 (~m_main_v_state(s52, c_busy)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3838, 72, 3832])).
% 7.21/5.04 tff(3840,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3841,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s51, s52)) | node2(s51, s52))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3842,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s51, s52)) | node2(s51, s52)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3841, 3840])).
% 7.21/5.04 tff(3843,plain,
% 7.21/5.04 (node2(s51, s52)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3842, 7, 3827])).
% 7.21/5.04 tff(3844,plain,
% 7.21/5.04 (((~![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(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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3845,plain,
% 7.21/5.04 ((~![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(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3846,plain,
% 7.21/5.04 ((~![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(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3845, 3844])).
% 7.21/5.04 tff(3847,plain,
% 7.21/5.04 ((~m_main_v_state(s51, c_ready)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51))),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3846, 60, 3843])).
% 7.21/5.04 tff(3848,plain,
% 7.21/5.04 (~m_main_v_state(s51, c_ready)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3847, 3839, 3816])).
% 7.21/5.04 tff(3849,plain,
% 7.21/5.04 (~m_main_v_state(s51, c_busy)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3782, 72, 3820])).
% 7.21/5.04 tff(3850,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3851,plain,
% 7.21/5.04 ((~![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))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3852,plain,
% 7.21/5.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s51, c_busy) | m_main_v_state(s51, c_ready)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 7.21/5.04 tff(3853,plain,
% 7.21/5.04 ($false),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3852, 89, 3849, 3848])).
% 7.21/5.04 tff(3854,plain,(~node4(s51)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.04 tff(3855,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3856,plain,
% 7.21/5.04 ((node4(s51) | (~until5(s51)) | xuntil6(s51)) <=> (xuntil6(s51) | node4(s51) | (~until5(s51)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3857,plain,
% 7.21/5.04 (((~![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))))),
% 7.21/5.04 inference(monotonicity,[status(thm)],[3856])).
% 7.21/5.04 tff(3858,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(transitivity,[status(thm)],[3857, 3855])).
% 7.21/5.04 tff(3859,plain,
% 7.21/5.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s51) | (~until5(s51)) | xuntil6(s51))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3860,plain,
% 7.21/5.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s51) | node4(s51) | (~until5(s51))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3859, 3858])).
% 7.21/5.04 tff(3861,plain,
% 7.21/5.04 (xuntil6(s51) | (~until5(s51))),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3860, 352, 3854])).
% 7.21/5.04 tff(3862,plain,
% 7.21/5.04 (xuntil6(s51)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3861, 3811])).
% 7.21/5.04 tff(3863,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3864,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3865,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3864, 3863])).
% 7.21/5.04 tff(3866,plain,
% 7.21/5.04 ((~xuntil6(s51)) | until5(s52)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3865, 3823, 370])).
% 7.21/5.04 tff(3867,plain,
% 7.21/5.04 (until5(s52)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3866, 3862])).
% 7.21/5.04 tff(3868,assumption,(node4(s52)), introduced(assumption)).
% 7.21/5.04 tff(3869,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3870,plain,
% 7.21/5.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s52) | (~node4(s52)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3871,plain,
% 7.21/5.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s52) | (~node4(s52))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3870, 3869])).
% 7.21/5.04 tff(3872,plain,
% 7.21/5.04 (m_main_v_request(s52)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3871, 28, 3868])).
% 7.21/5.04 tff(3873,plain,
% 7.21/5.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s52) | (~node4(s52)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s52) | (~node4(s52)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3874,plain,
% 7.21/5.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s52) | (~node4(s52)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3875,plain,
% 7.21/5.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s52) | (~node4(s52))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3874, 3873])).
% 7.21/5.04 tff(3876,plain,
% 7.21/5.04 (always3(s52)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3875, 16, 3868])).
% 7.21/5.04 tff(3877,plain,
% 7.21/5.04 (succ(s52, s53) <=> succ(s52, s53)),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3878,axiom,(succ(s52, s53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound53')).
% 7.21/5.04 tff(3879,plain,
% 7.21/5.04 (succ(s52, s53)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3878, 3877])).
% 7.21/5.04 tff(3880,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3881,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3882,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3881, 3880])).
% 7.21/5.04 tff(3883,plain,
% 7.21/5.04 (trans(s52, s53)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3882, 3879, 39])).
% 7.21/5.04 tff(3884,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3885,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s52, s53)) | (~always3(s52)) | always3(s53))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3886,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s52, s53)) | (~always3(s52)) | always3(s53)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3885, 3884])).
% 7.21/5.04 tff(3887,plain,
% 7.21/5.04 ((~always3(s52)) | always3(s53)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3886, 112, 3883])).
% 7.21/5.04 tff(3888,plain,
% 7.21/5.04 (always3(s53)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3887, 3876])).
% 7.21/5.04 tff(3889,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3890,plain,
% 7.21/5.04 (((~m_main_v_state(s53, c_busy)) | (~always3(s53))) <=> ((~always3(s53)) | (~m_main_v_state(s53, c_busy)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3891,plain,
% 7.21/5.04 (((~![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))))),
% 7.21/5.04 inference(monotonicity,[status(thm)],[3890])).
% 7.21/5.04 tff(3892,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(transitivity,[status(thm)],[3891, 3889])).
% 7.21/5.04 tff(3893,plain,
% 7.21/5.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s53, c_busy)) | (~always3(s53)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3894,plain,
% 7.21/5.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s53)) | (~m_main_v_state(s53, c_busy))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3893, 3892])).
% 7.21/5.04 tff(3895,plain,
% 7.21/5.04 (~m_main_v_state(s53, c_busy)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3894, 72, 3888])).
% 7.21/5.04 tff(3896,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3897,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s52, s53)) | node2(s52, s53))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3898,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s52, s53)) | node2(s52, s53)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3897, 3896])).
% 7.21/5.04 tff(3899,plain,
% 7.21/5.04 (node2(s52, s53)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3898, 7, 3883])).
% 7.21/5.04 tff(3900,plain,
% 7.21/5.04 (((~![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(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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3901,plain,
% 7.21/5.04 ((~![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(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3902,plain,
% 7.21/5.04 ((~![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(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3901, 3900])).
% 7.21/5.04 tff(3903,plain,
% 7.21/5.04 ((~m_main_v_state(s52, c_ready)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52))),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3902, 60, 3899])).
% 7.21/5.04 tff(3904,plain,
% 7.21/5.04 (~m_main_v_state(s52, c_ready)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3903, 3895, 3872])).
% 7.21/5.04 tff(3905,plain,
% 7.21/5.04 (~m_main_v_state(s52, c_busy)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3838, 72, 3876])).
% 7.21/5.04 tff(3906,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3907,plain,
% 7.21/5.04 ((~![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))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3908,plain,
% 7.21/5.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s52, c_busy) | m_main_v_state(s52, c_ready)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 7.21/5.04 tff(3909,plain,
% 7.21/5.04 ($false),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3908, 89, 3905, 3904])).
% 7.21/5.04 tff(3910,plain,(~node4(s52)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.04 tff(3911,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3912,plain,
% 7.21/5.04 ((node4(s52) | (~until5(s52)) | xuntil6(s52)) <=> (xuntil6(s52) | node4(s52) | (~until5(s52)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3913,plain,
% 7.21/5.04 (((~![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))))),
% 7.21/5.04 inference(monotonicity,[status(thm)],[3912])).
% 7.21/5.04 tff(3914,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(transitivity,[status(thm)],[3913, 3911])).
% 7.21/5.04 tff(3915,plain,
% 7.21/5.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s52) | (~until5(s52)) | xuntil6(s52))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3916,plain,
% 7.21/5.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s52) | node4(s52) | (~until5(s52))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 7.21/5.04 tff(3917,plain,
% 7.21/5.04 (xuntil6(s52) | (~until5(s52))),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3916, 352, 3910])).
% 7.21/5.04 tff(3918,plain,
% 7.21/5.04 (xuntil6(s52)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3917, 3867])).
% 7.21/5.04 tff(3919,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3920,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3921,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3920, 3919])).
% 7.21/5.04 tff(3922,plain,
% 7.21/5.04 ((~xuntil6(s52)) | until5(s53)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3921, 3879, 370])).
% 7.21/5.04 tff(3923,plain,
% 7.21/5.04 (until5(s53)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3922, 3918])).
% 7.21/5.04 tff(3924,assumption,(node4(s53)), introduced(assumption)).
% 7.21/5.04 tff(3925,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3926,plain,
% 7.21/5.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s53) | (~node4(s53)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3927,plain,
% 7.21/5.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s53) | (~node4(s53))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3926, 3925])).
% 7.21/5.04 tff(3928,plain,
% 7.21/5.04 (m_main_v_request(s53)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3927, 28, 3924])).
% 7.21/5.04 tff(3929,plain,
% 7.21/5.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s53) | (~node4(s53)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s53) | (~node4(s53)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3930,plain,
% 7.21/5.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s53) | (~node4(s53)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3931,plain,
% 7.21/5.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s53) | (~node4(s53))),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3930, 3929])).
% 7.21/5.04 tff(3932,plain,
% 7.21/5.04 (always3(s53)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3931, 16, 3924])).
% 7.21/5.04 tff(3933,plain,
% 7.21/5.04 (succ(s53, s54) <=> succ(s53, s54)),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3934,axiom,(succ(s53, s54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound54')).
% 7.21/5.04 tff(3935,plain,
% 7.21/5.04 (succ(s53, s54)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3934, 3933])).
% 7.21/5.04 tff(3936,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3937,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3938,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3937, 3936])).
% 7.21/5.04 tff(3939,plain,
% 7.21/5.04 (trans(s53, s54)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3938, 3935, 39])).
% 7.21/5.04 tff(3940,plain,
% 7.21/5.04 (((~![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))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3941,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s53, s54)) | (~always3(s53)) | always3(s54))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3942,plain,
% 7.21/5.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s53, s54)) | (~always3(s53)) | always3(s54)),
% 7.21/5.04 inference(modus_ponens,[status(thm)],[3941, 3940])).
% 7.21/5.04 tff(3943,plain,
% 7.21/5.04 ((~always3(s53)) | always3(s54)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3942, 112, 3939])).
% 7.21/5.04 tff(3944,plain,
% 7.21/5.04 (always3(s54)),
% 7.21/5.04 inference(unit_resolution,[status(thm)],[3943, 3932])).
% 7.21/5.04 tff(3945,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3946,plain,
% 7.21/5.04 (((~m_main_v_state(s54, c_busy)) | (~always3(s54))) <=> ((~always3(s54)) | (~m_main_v_state(s54, c_busy)))),
% 7.21/5.04 inference(rewrite,[status(thm)],[])).
% 7.21/5.04 tff(3947,plain,
% 7.21/5.04 (((~![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))))),
% 7.21/5.04 inference(monotonicity,[status(thm)],[3946])).
% 7.21/5.04 tff(3948,plain,
% 7.21/5.04 (((~![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)))),
% 7.21/5.04 inference(transitivity,[status(thm)],[3947, 3945])).
% 7.21/5.04 tff(3949,plain,
% 7.21/5.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s54, c_busy)) | (~always3(s54)))),
% 7.21/5.04 inference(quant_inst,[status(thm)],[])).
% 7.21/5.04 tff(3950,plain,
% 7.21/5.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s54)) | (~m_main_v_state(s54, c_busy))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 7.21/5.05 tff(3951,plain,
% 7.21/5.05 (~m_main_v_state(s54, c_busy)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3950, 72, 3944])).
% 7.21/5.05 tff(3952,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(3953,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s53, s54)) | node2(s53, s54))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(3954,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s53, s54)) | node2(s53, s54)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[3953, 3952])).
% 7.21/5.05 tff(3955,plain,
% 7.21/5.05 (node2(s53, s54)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3954, 7, 3939])).
% 7.21/5.05 tff(3956,plain,
% 7.21/5.05 (((~![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(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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(3957,plain,
% 7.21/5.05 ((~![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(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53)))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(3958,plain,
% 7.21/5.05 ((~![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(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[3957, 3956])).
% 7.21/5.05 tff(3959,plain,
% 7.21/5.05 ((~m_main_v_state(s53, c_ready)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53))),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3958, 60, 3955])).
% 7.21/5.05 tff(3960,plain,
% 7.21/5.05 (~m_main_v_state(s53, c_ready)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3959, 3951, 3928])).
% 7.21/5.05 tff(3961,plain,
% 7.21/5.05 (~m_main_v_state(s53, c_busy)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3894, 72, 3932])).
% 7.21/5.05 tff(3962,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(3963,plain,
% 7.21/5.05 ((~![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))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(3964,plain,
% 7.21/5.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[3963, 3962])).
% 7.21/5.05 tff(3965,plain,
% 7.21/5.05 ($false),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3964, 89, 3961, 3960])).
% 7.21/5.05 tff(3966,plain,(~node4(s53)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.05 tff(3967,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(3968,plain,
% 7.21/5.05 ((node4(s53) | (~until5(s53)) | xuntil6(s53)) <=> (xuntil6(s53) | node4(s53) | (~until5(s53)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(3969,plain,
% 7.21/5.05 (((~![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))))),
% 7.21/5.05 inference(monotonicity,[status(thm)],[3968])).
% 7.21/5.05 tff(3970,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(transitivity,[status(thm)],[3969, 3967])).
% 7.21/5.05 tff(3971,plain,
% 7.21/5.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s53) | (~until5(s53)) | xuntil6(s53))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(3972,plain,
% 7.21/5.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s53) | node4(s53) | (~until5(s53))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 7.21/5.05 tff(3973,plain,
% 7.21/5.05 (xuntil6(s53) | (~until5(s53))),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3972, 352, 3966])).
% 7.21/5.05 tff(3974,plain,
% 7.21/5.05 (xuntil6(s53)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3973, 3923])).
% 7.21/5.05 tff(3975,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(3976,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(3977,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 7.21/5.05 tff(3978,plain,
% 7.21/5.05 ((~xuntil6(s53)) | until5(s54)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3977, 3935, 370])).
% 7.21/5.05 tff(3979,plain,
% 7.21/5.05 (until5(s54)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3978, 3974])).
% 7.21/5.05 tff(3980,assumption,(node4(s54)), introduced(assumption)).
% 7.21/5.05 tff(3981,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(3982,plain,
% 7.21/5.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s54) | (~node4(s54)))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(3983,plain,
% 7.21/5.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s54) | (~node4(s54))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[3982, 3981])).
% 7.21/5.05 tff(3984,plain,
% 7.21/5.05 (m_main_v_request(s54)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3983, 28, 3980])).
% 7.21/5.05 tff(3985,plain,
% 7.21/5.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s54) | (~node4(s54)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s54) | (~node4(s54)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(3986,plain,
% 7.21/5.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s54) | (~node4(s54)))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(3987,plain,
% 7.21/5.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s54) | (~node4(s54))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[3986, 3985])).
% 7.21/5.05 tff(3988,plain,
% 7.21/5.05 (always3(s54)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3987, 16, 3980])).
% 7.21/5.05 tff(3989,plain,
% 7.21/5.05 (succ(s54, s55) <=> succ(s54, s55)),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(3990,axiom,(succ(s54, s55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound55')).
% 7.21/5.05 tff(3991,plain,
% 7.21/5.05 (succ(s54, s55)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[3990, 3989])).
% 7.21/5.05 tff(3992,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(3993,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(3994,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[3993, 3992])).
% 7.21/5.05 tff(3995,plain,
% 7.21/5.05 (trans(s54, s55)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3994, 3991, 39])).
% 7.21/5.05 tff(3996,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(3997,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s54, s55)) | (~always3(s54)) | always3(s55))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(3998,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s54, s55)) | (~always3(s54)) | always3(s55)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[3997, 3996])).
% 7.21/5.05 tff(3999,plain,
% 7.21/5.05 ((~always3(s54)) | always3(s55)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3998, 112, 3995])).
% 7.21/5.05 tff(4000,plain,
% 7.21/5.05 (always3(s55)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3999, 3988])).
% 7.21/5.05 tff(4001,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4002,plain,
% 7.21/5.05 (((~m_main_v_state(s55, c_busy)) | (~always3(s55))) <=> ((~always3(s55)) | (~m_main_v_state(s55, c_busy)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4003,plain,
% 7.21/5.05 (((~![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))))),
% 7.21/5.05 inference(monotonicity,[status(thm)],[4002])).
% 7.21/5.05 tff(4004,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(transitivity,[status(thm)],[4003, 4001])).
% 7.21/5.05 tff(4005,plain,
% 7.21/5.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s55, c_busy)) | (~always3(s55)))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4006,plain,
% 7.21/5.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s55)) | (~m_main_v_state(s55, c_busy))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4005, 4004])).
% 7.21/5.05 tff(4007,plain,
% 7.21/5.05 (~m_main_v_state(s55, c_busy)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4006, 72, 4000])).
% 7.21/5.05 tff(4008,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4009,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s54, s55)) | node2(s54, s55))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4010,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s54, s55)) | node2(s54, s55)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4009, 4008])).
% 7.21/5.05 tff(4011,plain,
% 7.21/5.05 (node2(s54, s55)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4010, 7, 3995])).
% 7.21/5.05 tff(4012,plain,
% 7.21/5.05 (((~![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(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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4013,plain,
% 7.21/5.05 ((~![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(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54)))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4014,plain,
% 7.21/5.05 ((~![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(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4013, 4012])).
% 7.21/5.05 tff(4015,plain,
% 7.21/5.05 ((~m_main_v_state(s54, c_ready)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54))),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4014, 60, 4011])).
% 7.21/5.05 tff(4016,plain,
% 7.21/5.05 (~m_main_v_state(s54, c_ready)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4015, 4007, 3984])).
% 7.21/5.05 tff(4017,plain,
% 7.21/5.05 (~m_main_v_state(s54, c_busy)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[3950, 72, 3988])).
% 7.21/5.05 tff(4018,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4019,plain,
% 7.21/5.05 ((~![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))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4020,plain,
% 7.21/5.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s54, c_busy) | m_main_v_state(s54, c_ready)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4019, 4018])).
% 7.21/5.05 tff(4021,plain,
% 7.21/5.05 ($false),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4020, 89, 4017, 4016])).
% 7.21/5.05 tff(4022,plain,(~node4(s54)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.05 tff(4023,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4024,plain,
% 7.21/5.05 ((node4(s54) | (~until5(s54)) | xuntil6(s54)) <=> (xuntil6(s54) | node4(s54) | (~until5(s54)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4025,plain,
% 7.21/5.05 (((~![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))))),
% 7.21/5.05 inference(monotonicity,[status(thm)],[4024])).
% 7.21/5.05 tff(4026,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(transitivity,[status(thm)],[4025, 4023])).
% 7.21/5.05 tff(4027,plain,
% 7.21/5.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s54) | (~until5(s54)) | xuntil6(s54))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4028,plain,
% 7.21/5.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s54) | node4(s54) | (~until5(s54))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4027, 4026])).
% 7.21/5.05 tff(4029,plain,
% 7.21/5.05 (xuntil6(s54) | (~until5(s54))),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4028, 352, 4022])).
% 7.21/5.05 tff(4030,plain,
% 7.21/5.05 (xuntil6(s54)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4029, 3979])).
% 7.21/5.05 tff(4031,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4032,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4033,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4032, 4031])).
% 7.21/5.05 tff(4034,plain,
% 7.21/5.05 ((~xuntil6(s54)) | until5(s55)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4033, 3991, 370])).
% 7.21/5.05 tff(4035,plain,
% 7.21/5.05 (until5(s55)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4034, 4030])).
% 7.21/5.05 tff(4036,assumption,(node4(s55)), introduced(assumption)).
% 7.21/5.05 tff(4037,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4038,plain,
% 7.21/5.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s55) | (~node4(s55)))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4039,plain,
% 7.21/5.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s55) | (~node4(s55))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4038, 4037])).
% 7.21/5.05 tff(4040,plain,
% 7.21/5.05 (m_main_v_request(s55)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4039, 28, 4036])).
% 7.21/5.05 tff(4041,plain,
% 7.21/5.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s55) | (~node4(s55)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s55) | (~node4(s55)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4042,plain,
% 7.21/5.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s55) | (~node4(s55)))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4043,plain,
% 7.21/5.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s55) | (~node4(s55))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4042, 4041])).
% 7.21/5.05 tff(4044,plain,
% 7.21/5.05 (always3(s55)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4043, 16, 4036])).
% 7.21/5.05 tff(4045,plain,
% 7.21/5.05 (succ(s55, s56) <=> succ(s55, s56)),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4046,axiom,(succ(s55, s56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound56')).
% 7.21/5.05 tff(4047,plain,
% 7.21/5.05 (succ(s55, s56)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4046, 4045])).
% 7.21/5.05 tff(4048,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4049,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4050,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4049, 4048])).
% 7.21/5.05 tff(4051,plain,
% 7.21/5.05 (trans(s55, s56)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4050, 4047, 39])).
% 7.21/5.05 tff(4052,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4053,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s55, s56)) | (~always3(s55)) | always3(s56))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4054,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s55, s56)) | (~always3(s55)) | always3(s56)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4053, 4052])).
% 7.21/5.05 tff(4055,plain,
% 7.21/5.05 ((~always3(s55)) | always3(s56)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4054, 112, 4051])).
% 7.21/5.05 tff(4056,plain,
% 7.21/5.05 (always3(s56)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4055, 4044])).
% 7.21/5.05 tff(4057,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4058,plain,
% 7.21/5.05 (((~m_main_v_state(s56, c_busy)) | (~always3(s56))) <=> ((~always3(s56)) | (~m_main_v_state(s56, c_busy)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4059,plain,
% 7.21/5.05 (((~![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))))),
% 7.21/5.05 inference(monotonicity,[status(thm)],[4058])).
% 7.21/5.05 tff(4060,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(transitivity,[status(thm)],[4059, 4057])).
% 7.21/5.05 tff(4061,plain,
% 7.21/5.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s56, c_busy)) | (~always3(s56)))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4062,plain,
% 7.21/5.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s56)) | (~m_main_v_state(s56, c_busy))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4061, 4060])).
% 7.21/5.05 tff(4063,plain,
% 7.21/5.05 (~m_main_v_state(s56, c_busy)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4062, 72, 4056])).
% 7.21/5.05 tff(4064,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4065,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s55, s56)) | node2(s55, s56))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4066,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s55, s56)) | node2(s55, s56)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4065, 4064])).
% 7.21/5.05 tff(4067,plain,
% 7.21/5.05 (node2(s55, s56)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4066, 7, 4051])).
% 7.21/5.05 tff(4068,plain,
% 7.21/5.05 (((~![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(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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4069,plain,
% 7.21/5.05 ((~![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(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55)))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4070,plain,
% 7.21/5.05 ((~![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(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4069, 4068])).
% 7.21/5.05 tff(4071,plain,
% 7.21/5.05 ((~m_main_v_state(s55, c_ready)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55))),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4070, 60, 4067])).
% 7.21/5.05 tff(4072,plain,
% 7.21/5.05 (~m_main_v_state(s55, c_ready)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4071, 4063, 4040])).
% 7.21/5.05 tff(4073,plain,
% 7.21/5.05 (~m_main_v_state(s55, c_busy)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4006, 72, 4044])).
% 7.21/5.05 tff(4074,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4075,plain,
% 7.21/5.05 ((~![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))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4076,plain,
% 7.21/5.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s55, c_busy) | m_main_v_state(s55, c_ready)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4075, 4074])).
% 7.21/5.05 tff(4077,plain,
% 7.21/5.05 ($false),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4076, 89, 4073, 4072])).
% 7.21/5.05 tff(4078,plain,(~node4(s55)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.05 tff(4079,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4080,plain,
% 7.21/5.05 ((node4(s55) | (~until5(s55)) | xuntil6(s55)) <=> (xuntil6(s55) | node4(s55) | (~until5(s55)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4081,plain,
% 7.21/5.05 (((~![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))))),
% 7.21/5.05 inference(monotonicity,[status(thm)],[4080])).
% 7.21/5.05 tff(4082,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(transitivity,[status(thm)],[4081, 4079])).
% 7.21/5.05 tff(4083,plain,
% 7.21/5.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s55) | (~until5(s55)) | xuntil6(s55))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4084,plain,
% 7.21/5.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s55) | node4(s55) | (~until5(s55))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 7.21/5.05 tff(4085,plain,
% 7.21/5.05 (xuntil6(s55) | (~until5(s55))),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4084, 352, 4078])).
% 7.21/5.05 tff(4086,plain,
% 7.21/5.05 (xuntil6(s55)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4085, 4035])).
% 7.21/5.05 tff(4087,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4088,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4089,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4088, 4087])).
% 7.21/5.05 tff(4090,plain,
% 7.21/5.05 ((~xuntil6(s55)) | until5(s56)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4089, 4047, 370])).
% 7.21/5.05 tff(4091,plain,
% 7.21/5.05 (until5(s56)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4090, 4086])).
% 7.21/5.05 tff(4092,assumption,(node4(s56)), introduced(assumption)).
% 7.21/5.05 tff(4093,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4094,plain,
% 7.21/5.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s56) | (~node4(s56)))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4095,plain,
% 7.21/5.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s56) | (~node4(s56))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4094, 4093])).
% 7.21/5.05 tff(4096,plain,
% 7.21/5.05 (m_main_v_request(s56)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4095, 28, 4092])).
% 7.21/5.05 tff(4097,plain,
% 7.21/5.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s56) | (~node4(s56)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s56) | (~node4(s56)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4098,plain,
% 7.21/5.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s56) | (~node4(s56)))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4099,plain,
% 7.21/5.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s56) | (~node4(s56))),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4098, 4097])).
% 7.21/5.05 tff(4100,plain,
% 7.21/5.05 (always3(s56)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4099, 16, 4092])).
% 7.21/5.05 tff(4101,plain,
% 7.21/5.05 (succ(s56, s57) <=> succ(s56, s57)),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4102,axiom,(succ(s56, s57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound57')).
% 7.21/5.05 tff(4103,plain,
% 7.21/5.05 (succ(s56, s57)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4102, 4101])).
% 7.21/5.05 tff(4104,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4105,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4106,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4105, 4104])).
% 7.21/5.05 tff(4107,plain,
% 7.21/5.05 (trans(s56, s57)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4106, 4103, 39])).
% 7.21/5.05 tff(4108,plain,
% 7.21/5.05 (((~![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))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4109,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s56, s57)) | (~always3(s56)) | always3(s57))),
% 7.21/5.05 inference(quant_inst,[status(thm)],[])).
% 7.21/5.05 tff(4110,plain,
% 7.21/5.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s56, s57)) | (~always3(s56)) | always3(s57)),
% 7.21/5.05 inference(modus_ponens,[status(thm)],[4109, 4108])).
% 7.21/5.05 tff(4111,plain,
% 7.21/5.05 ((~always3(s56)) | always3(s57)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4110, 112, 4107])).
% 7.21/5.05 tff(4112,plain,
% 7.21/5.05 (always3(s57)),
% 7.21/5.05 inference(unit_resolution,[status(thm)],[4111, 4100])).
% 7.21/5.05 tff(4113,plain,
% 7.21/5.05 (((~![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)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4114,plain,
% 7.21/5.05 (((~m_main_v_state(s57, c_busy)) | (~always3(s57))) <=> ((~always3(s57)) | (~m_main_v_state(s57, c_busy)))),
% 7.21/5.05 inference(rewrite,[status(thm)],[])).
% 7.21/5.05 tff(4115,plain,
% 7.21/5.05 (((~![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))))),
% 7.21/5.06 inference(monotonicity,[status(thm)],[4114])).
% 7.21/5.06 tff(4116,plain,
% 7.21/5.06 (((~![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)))),
% 7.21/5.06 inference(transitivity,[status(thm)],[4115, 4113])).
% 7.21/5.06 tff(4117,plain,
% 7.21/5.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s57, c_busy)) | (~always3(s57)))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4118,plain,
% 7.21/5.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s57)) | (~m_main_v_state(s57, c_busy))),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4117, 4116])).
% 7.21/5.06 tff(4119,plain,
% 7.21/5.06 (~m_main_v_state(s57, c_busy)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4118, 72, 4112])).
% 7.21/5.06 tff(4120,plain,
% 7.21/5.06 (((~![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))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4121,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s56, s57)) | node2(s56, s57))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4122,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s56, s57)) | node2(s56, s57)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 7.21/5.06 tff(4123,plain,
% 7.21/5.06 (node2(s56, s57)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4122, 7, 4107])).
% 7.21/5.06 tff(4124,plain,
% 7.21/5.06 (((~![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(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)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4125,plain,
% 7.21/5.06 ((~![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(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56)))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4126,plain,
% 7.21/5.06 ((~![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(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56))),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4125, 4124])).
% 7.21/5.06 tff(4127,plain,
% 7.21/5.06 ((~m_main_v_state(s56, c_ready)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56))),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4126, 60, 4123])).
% 7.21/5.06 tff(4128,plain,
% 7.21/5.06 (~m_main_v_state(s56, c_ready)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4127, 4119, 4096])).
% 7.21/5.06 tff(4129,plain,
% 7.21/5.06 (~m_main_v_state(s56, c_busy)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4062, 72, 4100])).
% 7.21/5.06 tff(4130,plain,
% 7.21/5.06 (((~![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))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4131,plain,
% 7.21/5.06 ((~![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))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4132,plain,
% 7.21/5.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s56, c_busy) | m_main_v_state(s56, c_ready)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4131, 4130])).
% 7.21/5.06 tff(4133,plain,
% 7.21/5.06 ($false),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4132, 89, 4129, 4128])).
% 7.21/5.06 tff(4134,plain,(~node4(s56)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.06 tff(4135,plain,
% 7.21/5.06 (((~![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)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4136,plain,
% 7.21/5.06 ((node4(s56) | (~until5(s56)) | xuntil6(s56)) <=> (xuntil6(s56) | node4(s56) | (~until5(s56)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4137,plain,
% 7.21/5.06 (((~![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))))),
% 7.21/5.06 inference(monotonicity,[status(thm)],[4136])).
% 7.21/5.06 tff(4138,plain,
% 7.21/5.06 (((~![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)))),
% 7.21/5.06 inference(transitivity,[status(thm)],[4137, 4135])).
% 7.21/5.06 tff(4139,plain,
% 7.21/5.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s56) | (~until5(s56)) | xuntil6(s56))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4140,plain,
% 7.21/5.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s56) | node4(s56) | (~until5(s56))),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4139, 4138])).
% 7.21/5.06 tff(4141,plain,
% 7.21/5.06 (xuntil6(s56) | (~until5(s56))),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4140, 352, 4134])).
% 7.21/5.06 tff(4142,plain,
% 7.21/5.06 (xuntil6(s56)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4141, 4091])).
% 7.21/5.06 tff(4143,plain,
% 7.21/5.06 (((~![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))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4144,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4145,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4144, 4143])).
% 7.21/5.06 tff(4146,plain,
% 7.21/5.06 ((~xuntil6(s56)) | until5(s57)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4145, 4103, 370])).
% 7.21/5.06 tff(4147,plain,
% 7.21/5.06 (until5(s57)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4146, 4142])).
% 7.21/5.06 tff(4148,assumption,(node4(s57)), introduced(assumption)).
% 7.21/5.06 tff(4149,plain,
% 7.21/5.06 (((~![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)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4150,plain,
% 7.21/5.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s57) | (~node4(s57)))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4151,plain,
% 7.21/5.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s57) | (~node4(s57))),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 7.21/5.06 tff(4152,plain,
% 7.21/5.06 (m_main_v_request(s57)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4151, 28, 4148])).
% 7.21/5.06 tff(4153,plain,
% 7.21/5.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s57) | (~node4(s57)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s57) | (~node4(s57)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4154,plain,
% 7.21/5.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s57) | (~node4(s57)))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4155,plain,
% 7.21/5.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s57) | (~node4(s57))),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 7.21/5.06 tff(4156,plain,
% 7.21/5.06 (always3(s57)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4155, 16, 4148])).
% 7.21/5.06 tff(4157,plain,
% 7.21/5.06 (succ(s57, s58) <=> succ(s57, s58)),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4158,axiom,(succ(s57, s58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound58')).
% 7.21/5.06 tff(4159,plain,
% 7.21/5.06 (succ(s57, s58)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4158, 4157])).
% 7.21/5.06 tff(4160,plain,
% 7.21/5.06 (((~![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))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4161,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4162,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4161, 4160])).
% 7.21/5.06 tff(4163,plain,
% 7.21/5.06 (trans(s57, s58)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4162, 4159, 39])).
% 7.21/5.06 tff(4164,plain,
% 7.21/5.06 (((~![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))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4165,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s57, s58)) | (~always3(s57)) | always3(s58))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4166,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s57, s58)) | (~always3(s57)) | always3(s58)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4165, 4164])).
% 7.21/5.06 tff(4167,plain,
% 7.21/5.06 ((~always3(s57)) | always3(s58)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4166, 112, 4163])).
% 7.21/5.06 tff(4168,plain,
% 7.21/5.06 (always3(s58)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4167, 4156])).
% 7.21/5.06 tff(4169,plain,
% 7.21/5.06 (((~![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)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4170,plain,
% 7.21/5.06 (((~m_main_v_state(s58, c_busy)) | (~always3(s58))) <=> ((~always3(s58)) | (~m_main_v_state(s58, c_busy)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4171,plain,
% 7.21/5.06 (((~![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))))),
% 7.21/5.06 inference(monotonicity,[status(thm)],[4170])).
% 7.21/5.06 tff(4172,plain,
% 7.21/5.06 (((~![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)))),
% 7.21/5.06 inference(transitivity,[status(thm)],[4171, 4169])).
% 7.21/5.06 tff(4173,plain,
% 7.21/5.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s58, c_busy)) | (~always3(s58)))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4174,plain,
% 7.21/5.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s58)) | (~m_main_v_state(s58, c_busy))),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4173, 4172])).
% 7.21/5.06 tff(4175,plain,
% 7.21/5.06 (~m_main_v_state(s58, c_busy)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4174, 72, 4168])).
% 7.21/5.06 tff(4176,plain,
% 7.21/5.06 (((~![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))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4177,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s57, s58)) | node2(s57, s58))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4178,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s57, s58)) | node2(s57, s58)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4177, 4176])).
% 7.21/5.06 tff(4179,plain,
% 7.21/5.06 (node2(s57, s58)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4178, 7, 4163])).
% 7.21/5.06 tff(4180,plain,
% 7.21/5.06 (((~![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(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)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4181,plain,
% 7.21/5.06 ((~![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(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57)))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4182,plain,
% 7.21/5.06 ((~![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(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57))),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 7.21/5.06 tff(4183,plain,
% 7.21/5.06 ((~m_main_v_state(s57, c_ready)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57))),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4182, 60, 4179])).
% 7.21/5.06 tff(4184,plain,
% 7.21/5.06 (~m_main_v_state(s57, c_ready)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4183, 4175, 4152])).
% 7.21/5.06 tff(4185,plain,
% 7.21/5.06 (~m_main_v_state(s57, c_busy)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4118, 72, 4156])).
% 7.21/5.06 tff(4186,plain,
% 7.21/5.06 (((~![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))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4187,plain,
% 7.21/5.06 ((~![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))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4188,plain,
% 7.21/5.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s57, c_busy) | m_main_v_state(s57, c_ready)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4187, 4186])).
% 7.21/5.06 tff(4189,plain,
% 7.21/5.06 ($false),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4188, 89, 4185, 4184])).
% 7.21/5.06 tff(4190,plain,(~node4(s57)), inference(lemma,lemma(discharge,[]))).
% 7.21/5.06 tff(4191,plain,
% 7.21/5.06 (((~![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)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4192,plain,
% 7.21/5.06 ((node4(s57) | (~until5(s57)) | xuntil6(s57)) <=> (xuntil6(s57) | node4(s57) | (~until5(s57)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4193,plain,
% 7.21/5.06 (((~![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))))),
% 7.21/5.06 inference(monotonicity,[status(thm)],[4192])).
% 7.21/5.06 tff(4194,plain,
% 7.21/5.06 (((~![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)))),
% 7.21/5.06 inference(transitivity,[status(thm)],[4193, 4191])).
% 7.21/5.06 tff(4195,plain,
% 7.21/5.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s57) | (~until5(s57)) | xuntil6(s57))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4196,plain,
% 7.21/5.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s57) | node4(s57) | (~until5(s57))),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4195, 4194])).
% 7.21/5.06 tff(4197,plain,
% 7.21/5.06 (xuntil6(s57) | (~until5(s57))),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4196, 352, 4190])).
% 7.21/5.06 tff(4198,plain,
% 7.21/5.06 (xuntil6(s57)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4197, 4147])).
% 7.21/5.06 tff(4199,plain,
% 7.21/5.06 (((~![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))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4200,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4201,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4200, 4199])).
% 7.21/5.06 tff(4202,plain,
% 7.21/5.06 ((~xuntil6(s57)) | until5(s58)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4201, 4159, 370])).
% 7.21/5.06 tff(4203,plain,
% 7.21/5.06 (until5(s58)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4202, 4198])).
% 7.21/5.06 tff(4204,assumption,(node4(s58)), introduced(assumption)).
% 7.21/5.06 tff(4205,plain,
% 7.21/5.06 (((~![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)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4206,plain,
% 7.21/5.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s58) | (~node4(s58)))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4207,plain,
% 7.21/5.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s58) | (~node4(s58))),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4206, 4205])).
% 7.21/5.06 tff(4208,plain,
% 7.21/5.06 (m_main_v_request(s58)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4207, 28, 4204])).
% 7.21/5.06 tff(4209,plain,
% 7.21/5.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s58) | (~node4(s58)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s58) | (~node4(s58)))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4210,plain,
% 7.21/5.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s58) | (~node4(s58)))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4211,plain,
% 7.21/5.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s58) | (~node4(s58))),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4210, 4209])).
% 7.21/5.06 tff(4212,plain,
% 7.21/5.06 (always3(s58)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4211, 16, 4204])).
% 7.21/5.06 tff(4213,plain,
% 7.21/5.06 (succ(s58, s59) <=> succ(s58, s59)),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4214,axiom,(succ(s58, s59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound59')).
% 7.21/5.06 tff(4215,plain,
% 7.21/5.06 (succ(s58, s59)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4214, 4213])).
% 7.21/5.06 tff(4216,plain,
% 7.21/5.06 (((~![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))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4217,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4218,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 7.21/5.06 tff(4219,plain,
% 7.21/5.06 (trans(s58, s59)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4218, 4215, 39])).
% 7.21/5.06 tff(4220,plain,
% 7.21/5.06 (((~![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))),
% 7.21/5.06 inference(rewrite,[status(thm)],[])).
% 7.21/5.06 tff(4221,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s58, s59)) | (~always3(s58)) | always3(s59))),
% 7.21/5.06 inference(quant_inst,[status(thm)],[])).
% 7.21/5.06 tff(4222,plain,
% 7.21/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s58, s59)) | (~always3(s58)) | always3(s59)),
% 7.21/5.06 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 7.21/5.06 tff(4223,plain,
% 7.21/5.06 ((~always3(s58)) | always3(s59)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4222, 112, 4219])).
% 7.21/5.06 tff(4224,plain,
% 7.21/5.06 (always3(s59)),
% 7.21/5.06 inference(unit_resolution,[status(thm)],[4223, 4212])).
% 7.21/5.06 tff(4225,plain,
% 7.21/5.06 (((~![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)))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4226,plain,
% 7.29/5.06 (((~m_main_v_state(s59, c_busy)) | (~always3(s59))) <=> ((~always3(s59)) | (~m_main_v_state(s59, c_busy)))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4227,plain,
% 7.29/5.06 (((~![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))))),
% 7.29/5.06 inference(monotonicity,[status(thm)],[4226])).
% 7.29/5.06 tff(4228,plain,
% 7.29/5.06 (((~![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)))),
% 7.29/5.06 inference(transitivity,[status(thm)],[4227, 4225])).
% 7.29/5.06 tff(4229,plain,
% 7.29/5.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s59, c_busy)) | (~always3(s59)))),
% 7.29/5.06 inference(quant_inst,[status(thm)],[])).
% 7.29/5.06 tff(4230,plain,
% 7.29/5.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s59)) | (~m_main_v_state(s59, c_busy))),
% 7.29/5.06 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 7.29/5.06 tff(4231,plain,
% 7.29/5.06 (~m_main_v_state(s59, c_busy)),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4230, 72, 4224])).
% 7.29/5.06 tff(4232,plain,
% 7.29/5.06 (((~![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))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4233,plain,
% 7.29/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s58, s59)) | node2(s58, s59))),
% 7.29/5.06 inference(quant_inst,[status(thm)],[])).
% 7.29/5.06 tff(4234,plain,
% 7.29/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s58, s59)) | node2(s58, s59)),
% 7.29/5.06 inference(modus_ponens,[status(thm)],[4233, 4232])).
% 7.29/5.06 tff(4235,plain,
% 7.29/5.06 (node2(s58, s59)),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4234, 7, 4219])).
% 7.29/5.06 tff(4236,plain,
% 7.29/5.06 (((~![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(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)))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4237,plain,
% 7.29/5.06 ((~![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(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58)))),
% 7.29/5.06 inference(quant_inst,[status(thm)],[])).
% 7.29/5.06 tff(4238,plain,
% 7.29/5.06 ((~![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(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58))),
% 7.29/5.06 inference(modus_ponens,[status(thm)],[4237, 4236])).
% 7.29/5.06 tff(4239,plain,
% 7.29/5.06 ((~m_main_v_state(s58, c_ready)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58))),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4238, 60, 4235])).
% 7.29/5.06 tff(4240,plain,
% 7.29/5.06 (~m_main_v_state(s58, c_ready)),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4239, 4231, 4208])).
% 7.29/5.06 tff(4241,plain,
% 7.29/5.06 (~m_main_v_state(s58, c_busy)),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4174, 72, 4212])).
% 7.29/5.06 tff(4242,plain,
% 7.29/5.06 (((~![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))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4243,plain,
% 7.29/5.06 ((~![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))),
% 7.29/5.06 inference(quant_inst,[status(thm)],[])).
% 7.29/5.06 tff(4244,plain,
% 7.29/5.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s58, c_busy) | m_main_v_state(s58, c_ready)),
% 7.29/5.06 inference(modus_ponens,[status(thm)],[4243, 4242])).
% 7.29/5.06 tff(4245,plain,
% 7.29/5.06 ($false),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4244, 89, 4241, 4240])).
% 7.29/5.06 tff(4246,plain,(~node4(s58)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.06 tff(4247,plain,
% 7.29/5.06 (((~![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)))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4248,plain,
% 7.29/5.06 ((node4(s58) | (~until5(s58)) | xuntil6(s58)) <=> (xuntil6(s58) | node4(s58) | (~until5(s58)))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4249,plain,
% 7.29/5.06 (((~![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))))),
% 7.29/5.06 inference(monotonicity,[status(thm)],[4248])).
% 7.29/5.06 tff(4250,plain,
% 7.29/5.06 (((~![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)))),
% 7.29/5.06 inference(transitivity,[status(thm)],[4249, 4247])).
% 7.29/5.06 tff(4251,plain,
% 7.29/5.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s58) | (~until5(s58)) | xuntil6(s58))),
% 7.29/5.06 inference(quant_inst,[status(thm)],[])).
% 7.29/5.06 tff(4252,plain,
% 7.29/5.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s58) | node4(s58) | (~until5(s58))),
% 7.29/5.06 inference(modus_ponens,[status(thm)],[4251, 4250])).
% 7.29/5.06 tff(4253,plain,
% 7.29/5.06 (xuntil6(s58) | (~until5(s58))),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4252, 352, 4246])).
% 7.29/5.06 tff(4254,plain,
% 7.29/5.06 (xuntil6(s58)),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4253, 4203])).
% 7.29/5.06 tff(4255,plain,
% 7.29/5.06 (((~![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))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4256,plain,
% 7.29/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59))),
% 7.29/5.06 inference(quant_inst,[status(thm)],[])).
% 7.29/5.06 tff(4257,plain,
% 7.29/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59)),
% 7.29/5.06 inference(modus_ponens,[status(thm)],[4256, 4255])).
% 7.29/5.06 tff(4258,plain,
% 7.29/5.06 ((~xuntil6(s58)) | until5(s59)),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4257, 4215, 370])).
% 7.29/5.06 tff(4259,plain,
% 7.29/5.06 (until5(s59)),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4258, 4254])).
% 7.29/5.06 tff(4260,assumption,(node4(s59)), introduced(assumption)).
% 7.29/5.06 tff(4261,plain,
% 7.29/5.06 (((~![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)))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4262,plain,
% 7.29/5.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s59) | (~node4(s59)))),
% 7.29/5.06 inference(quant_inst,[status(thm)],[])).
% 7.29/5.06 tff(4263,plain,
% 7.29/5.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s59) | (~node4(s59))),
% 7.29/5.06 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 7.29/5.06 tff(4264,plain,
% 7.29/5.06 (m_main_v_request(s59)),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4263, 28, 4260])).
% 7.29/5.06 tff(4265,plain,
% 7.29/5.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s59) | (~node4(s59)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s59) | (~node4(s59)))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4266,plain,
% 7.29/5.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s59) | (~node4(s59)))),
% 7.29/5.06 inference(quant_inst,[status(thm)],[])).
% 7.29/5.06 tff(4267,plain,
% 7.29/5.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s59) | (~node4(s59))),
% 7.29/5.06 inference(modus_ponens,[status(thm)],[4266, 4265])).
% 7.29/5.06 tff(4268,plain,
% 7.29/5.06 (always3(s59)),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4267, 16, 4260])).
% 7.29/5.06 tff(4269,plain,
% 7.29/5.06 (succ(s59, s60) <=> succ(s59, s60)),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4270,axiom,(succ(s59, s60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound60')).
% 7.29/5.06 tff(4271,plain,
% 7.29/5.06 (succ(s59, s60)),
% 7.29/5.06 inference(modus_ponens,[status(thm)],[4270, 4269])).
% 7.29/5.06 tff(4272,plain,
% 7.29/5.06 (((~![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))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4273,plain,
% 7.29/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 7.29/5.06 inference(quant_inst,[status(thm)],[])).
% 7.29/5.06 tff(4274,plain,
% 7.29/5.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 7.29/5.06 inference(modus_ponens,[status(thm)],[4273, 4272])).
% 7.29/5.06 tff(4275,plain,
% 7.29/5.06 (trans(s59, s60)),
% 7.29/5.06 inference(unit_resolution,[status(thm)],[4274, 4271, 39])).
% 7.29/5.06 tff(4276,plain,
% 7.29/5.06 (((~![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))),
% 7.29/5.06 inference(rewrite,[status(thm)],[])).
% 7.29/5.06 tff(4277,plain,
% 7.29/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s59, s60)) | (~always3(s59)) | always3(s60))),
% 7.29/5.06 inference(quant_inst,[status(thm)],[])).
% 7.29/5.06 tff(4278,plain,
% 7.29/5.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s59, s60)) | (~always3(s59)) | always3(s60)),
% 7.29/5.06 inference(modus_ponens,[status(thm)],[4277, 4276])).
% 7.29/5.07 tff(4279,plain,
% 7.29/5.07 ((~always3(s59)) | always3(s60)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4278, 112, 4275])).
% 7.29/5.07 tff(4280,plain,
% 7.29/5.07 (always3(s60)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4279, 4268])).
% 7.29/5.07 tff(4281,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4282,plain,
% 7.29/5.07 (((~m_main_v_state(s60, c_busy)) | (~always3(s60))) <=> ((~always3(s60)) | (~m_main_v_state(s60, c_busy)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4283,plain,
% 7.29/5.07 (((~![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))))),
% 7.29/5.07 inference(monotonicity,[status(thm)],[4282])).
% 7.29/5.07 tff(4284,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(transitivity,[status(thm)],[4283, 4281])).
% 7.29/5.07 tff(4285,plain,
% 7.29/5.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s60, c_busy)) | (~always3(s60)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4286,plain,
% 7.29/5.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s60)) | (~m_main_v_state(s60, c_busy))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 7.29/5.07 tff(4287,plain,
% 7.29/5.07 (~m_main_v_state(s60, c_busy)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4286, 72, 4280])).
% 7.29/5.07 tff(4288,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4289,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s59, s60)) | node2(s59, s60))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4290,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s59, s60)) | node2(s59, s60)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 7.29/5.07 tff(4291,plain,
% 7.29/5.07 (node2(s59, s60)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4290, 7, 4275])).
% 7.29/5.07 tff(4292,plain,
% 7.29/5.07 (((~![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(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)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4293,plain,
% 7.29/5.07 ((~![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(s59, c_ready)) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4294,plain,
% 7.29/5.07 ((~![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(s59, c_ready)) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 7.29/5.07 tff(4295,plain,
% 7.29/5.07 ((~m_main_v_state(s59, c_ready)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59))),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4294, 60, 4291])).
% 7.29/5.07 tff(4296,plain,
% 7.29/5.07 (~m_main_v_state(s59, c_ready)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4295, 4287, 4264])).
% 7.29/5.07 tff(4297,plain,
% 7.29/5.07 (~m_main_v_state(s59, c_busy)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4230, 72, 4268])).
% 7.29/5.07 tff(4298,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4299,plain,
% 7.29/5.07 ((~![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))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4300,plain,
% 7.29/5.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s59, c_busy) | m_main_v_state(s59, c_ready)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4299, 4298])).
% 7.29/5.07 tff(4301,plain,
% 7.29/5.07 ($false),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4300, 89, 4297, 4296])).
% 7.29/5.07 tff(4302,plain,(~node4(s59)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.07 tff(4303,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4304,plain,
% 7.29/5.07 ((node4(s59) | (~until5(s59)) | xuntil6(s59)) <=> (xuntil6(s59) | node4(s59) | (~until5(s59)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4305,plain,
% 7.29/5.07 (((~![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))))),
% 7.29/5.07 inference(monotonicity,[status(thm)],[4304])).
% 7.29/5.07 tff(4306,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(transitivity,[status(thm)],[4305, 4303])).
% 7.29/5.07 tff(4307,plain,
% 7.29/5.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s59) | (~until5(s59)) | xuntil6(s59))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4308,plain,
% 7.29/5.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s59) | node4(s59) | (~until5(s59))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4307, 4306])).
% 7.29/5.07 tff(4309,plain,
% 7.29/5.07 (xuntil6(s59) | (~until5(s59))),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4308, 352, 4302])).
% 7.29/5.07 tff(4310,plain,
% 7.29/5.07 (xuntil6(s59)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4309, 4259])).
% 7.29/5.07 tff(4311,plain,
% 7.29/5.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4312,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4313,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4312, 4311])).
% 7.29/5.07 tff(4314,plain,
% 7.29/5.07 ((~xuntil6(s59)) | until5(s60)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4313, 4271, 370])).
% 7.29/5.07 tff(4315,plain,
% 7.29/5.07 (until5(s60)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4314, 4310])).
% 7.29/5.07 tff(4316,assumption,(node4(s60)), introduced(assumption)).
% 7.29/5.07 tff(4317,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4318,plain,
% 7.29/5.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s60) | (~node4(s60)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4319,plain,
% 7.29/5.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s60) | (~node4(s60))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 7.29/5.07 tff(4320,plain,
% 7.29/5.07 (m_main_v_request(s60)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4319, 28, 4316])).
% 7.29/5.07 tff(4321,plain,
% 7.29/5.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s60) | (~node4(s60)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s60) | (~node4(s60)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4322,plain,
% 7.29/5.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s60) | (~node4(s60)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4323,plain,
% 7.29/5.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s60) | (~node4(s60))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4322, 4321])).
% 7.29/5.07 tff(4324,plain,
% 7.29/5.07 (always3(s60)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4323, 16, 4316])).
% 7.29/5.07 tff(4325,plain,
% 7.29/5.07 (succ(s60, s61) <=> succ(s60, s61)),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4326,axiom,(succ(s60, s61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound61')).
% 7.29/5.07 tff(4327,plain,
% 7.29/5.07 (succ(s60, s61)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 7.29/5.07 tff(4328,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4329,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4330,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4329, 4328])).
% 7.29/5.07 tff(4331,plain,
% 7.29/5.07 (trans(s60, s61)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4330, 4327, 39])).
% 7.29/5.07 tff(4332,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4333,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s60, s61)) | (~always3(s60)) | always3(s61))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4334,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s60, s61)) | (~always3(s60)) | always3(s61)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4333, 4332])).
% 7.29/5.07 tff(4335,plain,
% 7.29/5.07 ((~always3(s60)) | always3(s61)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4334, 112, 4331])).
% 7.29/5.07 tff(4336,plain,
% 7.29/5.07 (always3(s61)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4335, 4324])).
% 7.29/5.07 tff(4337,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4338,plain,
% 7.29/5.07 (((~m_main_v_state(s61, c_busy)) | (~always3(s61))) <=> ((~always3(s61)) | (~m_main_v_state(s61, c_busy)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4339,plain,
% 7.29/5.07 (((~![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))))),
% 7.29/5.07 inference(monotonicity,[status(thm)],[4338])).
% 7.29/5.07 tff(4340,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(transitivity,[status(thm)],[4339, 4337])).
% 7.29/5.07 tff(4341,plain,
% 7.29/5.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s61, c_busy)) | (~always3(s61)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4342,plain,
% 7.29/5.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s61)) | (~m_main_v_state(s61, c_busy))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 7.29/5.07 tff(4343,plain,
% 7.29/5.07 (~m_main_v_state(s61, c_busy)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4342, 72, 4336])).
% 7.29/5.07 tff(4344,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4345,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s60, s61)) | node2(s60, s61))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4346,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s60, s61)) | node2(s60, s61)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 7.29/5.07 tff(4347,plain,
% 7.29/5.07 (node2(s60, s61)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4346, 7, 4331])).
% 7.29/5.07 tff(4348,plain,
% 7.29/5.07 (((~![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(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)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4349,plain,
% 7.29/5.07 ((~![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(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4350,plain,
% 7.29/5.07 ((~![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(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 7.29/5.07 tff(4351,plain,
% 7.29/5.07 ((~m_main_v_state(s60, c_ready)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60))),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4350, 60, 4347])).
% 7.29/5.07 tff(4352,plain,
% 7.29/5.07 (~m_main_v_state(s60, c_ready)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4351, 4343, 4320])).
% 7.29/5.07 tff(4353,plain,
% 7.29/5.07 (~m_main_v_state(s60, c_busy)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4286, 72, 4324])).
% 7.29/5.07 tff(4354,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4355,plain,
% 7.29/5.07 ((~![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))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4356,plain,
% 7.29/5.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s60, c_busy) | m_main_v_state(s60, c_ready)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4355, 4354])).
% 7.29/5.07 tff(4357,plain,
% 7.29/5.07 ($false),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4356, 89, 4353, 4352])).
% 7.29/5.07 tff(4358,plain,(~node4(s60)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.07 tff(4359,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4360,plain,
% 7.29/5.07 ((node4(s60) | (~until5(s60)) | xuntil6(s60)) <=> (xuntil6(s60) | node4(s60) | (~until5(s60)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4361,plain,
% 7.29/5.07 (((~![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))))),
% 7.29/5.07 inference(monotonicity,[status(thm)],[4360])).
% 7.29/5.07 tff(4362,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(transitivity,[status(thm)],[4361, 4359])).
% 7.29/5.07 tff(4363,plain,
% 7.29/5.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s60) | (~until5(s60)) | xuntil6(s60))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4364,plain,
% 7.29/5.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s60) | node4(s60) | (~until5(s60))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4363, 4362])).
% 7.29/5.07 tff(4365,plain,
% 7.29/5.07 (xuntil6(s60) | (~until5(s60))),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4364, 352, 4358])).
% 7.29/5.07 tff(4366,plain,
% 7.29/5.07 (xuntil6(s60)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4365, 4315])).
% 7.29/5.07 tff(4367,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4368,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4369,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4368, 4367])).
% 7.29/5.07 tff(4370,plain,
% 7.29/5.07 ((~xuntil6(s60)) | until5(s61)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4369, 4327, 370])).
% 7.29/5.07 tff(4371,plain,
% 7.29/5.07 (until5(s61)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4370, 4366])).
% 7.29/5.07 tff(4372,assumption,(node4(s61)), introduced(assumption)).
% 7.29/5.07 tff(4373,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4374,plain,
% 7.29/5.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s61) | (~node4(s61)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4375,plain,
% 7.29/5.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s61) | (~node4(s61))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4374, 4373])).
% 7.29/5.07 tff(4376,plain,
% 7.29/5.07 (m_main_v_request(s61)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4375, 28, 4372])).
% 7.29/5.07 tff(4377,plain,
% 7.29/5.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s61) | (~node4(s61)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s61) | (~node4(s61)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4378,plain,
% 7.29/5.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s61) | (~node4(s61)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4379,plain,
% 7.29/5.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s61) | (~node4(s61))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4378, 4377])).
% 7.29/5.07 tff(4380,plain,
% 7.29/5.07 (always3(s61)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4379, 16, 4372])).
% 7.29/5.07 tff(4381,plain,
% 7.29/5.07 (succ(s61, s62) <=> succ(s61, s62)),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4382,axiom,(succ(s61, s62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound62')).
% 7.29/5.07 tff(4383,plain,
% 7.29/5.07 (succ(s61, s62)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4382, 4381])).
% 7.29/5.07 tff(4384,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4385,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4386,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4385, 4384])).
% 7.29/5.07 tff(4387,plain,
% 7.29/5.07 (trans(s61, s62)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4386, 4383, 39])).
% 7.29/5.07 tff(4388,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4389,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s61, s62)) | (~always3(s61)) | always3(s62))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4390,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s61, s62)) | (~always3(s61)) | always3(s62)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4389, 4388])).
% 7.29/5.07 tff(4391,plain,
% 7.29/5.07 ((~always3(s61)) | always3(s62)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4390, 112, 4387])).
% 7.29/5.07 tff(4392,plain,
% 7.29/5.07 (always3(s62)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4391, 4380])).
% 7.29/5.07 tff(4393,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4394,plain,
% 7.29/5.07 (((~m_main_v_state(s62, c_busy)) | (~always3(s62))) <=> ((~always3(s62)) | (~m_main_v_state(s62, c_busy)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4395,plain,
% 7.29/5.07 (((~![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))))),
% 7.29/5.07 inference(monotonicity,[status(thm)],[4394])).
% 7.29/5.07 tff(4396,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(transitivity,[status(thm)],[4395, 4393])).
% 7.29/5.07 tff(4397,plain,
% 7.29/5.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s62, c_busy)) | (~always3(s62)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4398,plain,
% 7.29/5.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s62)) | (~m_main_v_state(s62, c_busy))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 7.29/5.07 tff(4399,plain,
% 7.29/5.07 (~m_main_v_state(s62, c_busy)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4398, 72, 4392])).
% 7.29/5.07 tff(4400,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4401,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s61, s62)) | node2(s61, s62))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4402,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s61, s62)) | node2(s61, s62)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 7.29/5.07 tff(4403,plain,
% 7.29/5.07 (node2(s61, s62)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4402, 7, 4387])).
% 7.29/5.07 tff(4404,plain,
% 7.29/5.07 (((~![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(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)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4405,plain,
% 7.29/5.07 ((~![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(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4406,plain,
% 7.29/5.07 ((~![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(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 7.29/5.07 tff(4407,plain,
% 7.29/5.07 ((~m_main_v_state(s61, c_ready)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61))),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4406, 60, 4403])).
% 7.29/5.07 tff(4408,plain,
% 7.29/5.07 (~m_main_v_state(s61, c_ready)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4407, 4399, 4376])).
% 7.29/5.07 tff(4409,plain,
% 7.29/5.07 (~m_main_v_state(s61, c_busy)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4342, 72, 4380])).
% 7.29/5.07 tff(4410,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4411,plain,
% 7.29/5.07 ((~![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))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4412,plain,
% 7.29/5.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s61, c_busy) | m_main_v_state(s61, c_ready)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4411, 4410])).
% 7.29/5.07 tff(4413,plain,
% 7.29/5.07 ($false),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4412, 89, 4409, 4408])).
% 7.29/5.07 tff(4414,plain,(~node4(s61)), inference(lemma,lemma(discharge,[]))).
% 7.29/5.07 tff(4415,plain,
% 7.29/5.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s61) | node4(s61) | (~until5(s61)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s61) | node4(s61) | (~until5(s61)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4416,plain,
% 7.29/5.07 ((node4(s61) | (~until5(s61)) | xuntil6(s61)) <=> (xuntil6(s61) | node4(s61) | (~until5(s61)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4417,plain,
% 7.29/5.07 (((~![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))))),
% 7.29/5.07 inference(monotonicity,[status(thm)],[4416])).
% 7.29/5.07 tff(4418,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(transitivity,[status(thm)],[4417, 4415])).
% 7.29/5.07 tff(4419,plain,
% 7.29/5.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s61) | (~until5(s61)) | xuntil6(s61))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4420,plain,
% 7.29/5.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s61) | node4(s61) | (~until5(s61))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4419, 4418])).
% 7.29/5.07 tff(4421,plain,
% 7.29/5.07 (xuntil6(s61) | (~until5(s61))),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4420, 352, 4414])).
% 7.29/5.07 tff(4422,plain,
% 7.29/5.07 (xuntil6(s61)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4421, 4371])).
% 7.29/5.07 tff(4423,plain,
% 7.29/5.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4424,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4425,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 7.29/5.07 tff(4426,plain,
% 7.29/5.07 ((~xuntil6(s61)) | until5(s62)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4425, 4383, 370])).
% 7.29/5.07 tff(4427,plain,
% 7.29/5.07 (until5(s62)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4426, 4422])).
% 7.29/5.07 tff(4428,assumption,(node4(s62)), introduced(assumption)).
% 7.29/5.07 tff(4429,plain,
% 7.29/5.07 (((~![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)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4430,plain,
% 7.29/5.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s62) | (~node4(s62)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4431,plain,
% 7.29/5.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s62) | (~node4(s62))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4430, 4429])).
% 7.29/5.07 tff(4432,plain,
% 7.29/5.07 (m_main_v_request(s62)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4431, 28, 4428])).
% 7.29/5.07 tff(4433,plain,
% 7.29/5.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s62) | (~node4(s62)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s62) | (~node4(s62)))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4434,plain,
% 7.29/5.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s62) | (~node4(s62)))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4435,plain,
% 7.29/5.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s62) | (~node4(s62))),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4434, 4433])).
% 7.29/5.07 tff(4436,plain,
% 7.29/5.07 (always3(s62)),
% 7.29/5.07 inference(unit_resolution,[status(thm)],[4435, 16, 4428])).
% 7.29/5.07 tff(4437,plain,
% 7.29/5.07 (succ(s62, s63) <=> succ(s62, s63)),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4438,axiom,(succ(s62, s63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound63')).
% 7.29/5.07 tff(4439,plain,
% 7.29/5.07 (succ(s62, s63)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4438, 4437])).
% 7.29/5.07 tff(4440,plain,
% 7.29/5.07 (((~![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))),
% 7.29/5.07 inference(rewrite,[status(thm)],[])).
% 7.29/5.07 tff(4441,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 7.29/5.07 inference(quant_inst,[status(thm)],[])).
% 7.29/5.07 tff(4442,plain,
% 7.29/5.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 7.29/5.07 inference(modus_ponens,[status(thm)],[4441, 4440])).
% 7.29/5.08 tff(4443,plain,
% 7.29/5.08 (trans(s62, s63)),
% 7.29/5.08 inference(unit_resolution,[status(thm)],[4442, 4439, 39])).
% 7.29/5.08 tff(4444,plain,
% 7.29/5.08 (((~![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))),
% 7.29/5.08 inference(rewrite,[status(thm)],[])).
% 7.29/5.08 tff(4445,plain,
% 7.29/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s62, s63)) | (~always3(s62)) | always3(s63))),
% 7.29/5.08 inference(quant_inst,[status(thm)],[])).
% 7.29/5.08 tff(4446,plain,
% 7.29/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s62, s63)) | (~always3(s62)) | always3(s63)),
% 7.29/5.08 inference(modus_ponens,[status(thm)],[4445, 4444])).
% 7.29/5.08 tff(4447,plain,
% 7.29/5.08 ((~always3(s62)) | always3(s63)),
% 7.29/5.08 inference(unit_resolution,[status(thm)],[4446, 112, 4443])).
% 7.29/5.08 tff(4448,plain,
% 7.29/5.08 (always3(s63)),
% 7.29/5.08 inference(unit_resolution,[status(thm)],[4447, 4436])).
% 7.29/5.08 tff(4449,plain,
% 7.29/5.08 (((~![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)))),
% 7.29/5.08 inference(rewrite,[status(thm)],[])).
% 7.29/5.08 tff(4450,plain,
% 7.29/5.08 (((~m_main_v_state(s63, c_busy)) | (~always3(s63))) <=> ((~always3(s63)) | (~m_main_v_state(s63, c_busy)))),
% 7.29/5.08 inference(rewrite,[status(thm)],[])).
% 7.29/5.08 tff(4451,plain,
% 7.29/5.08 (((~![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))))),
% 7.29/5.08 inference(monotonicity,[status(thm)],[4450])).
% 7.29/5.08 tff(4452,plain,
% 7.29/5.08 (((~![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)))),
% 7.29/5.08 inference(transitivity,[status(thm)],[4451, 4449])).
% 7.29/5.08 tff(4453,plain,
% 7.29/5.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s63, c_busy)) | (~always3(s63)))),
% 7.29/5.08 inference(quant_inst,[status(thm)],[])).
% 7.29/5.08 tff(4454,plain,
% 7.29/5.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s63)) | (~m_main_v_state(s63, c_busy))),
% 7.29/5.08 inference(modus_ponens,[status(thm)],[4453, 4452])).
% 7.29/5.08 tff(4455,plain,
% 7.29/5.08 (~m_main_v_state(s63, c_busy)),
% 7.29/5.08 inference(unit_resolution,[status(thm)],[4454, 72, 4448])).
% 7.29/5.08 tff(4456,plain,
% 7.29/5.08 (((~![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))),
% 7.29/5.08 inference(rewrite,[status(thm)],[])).
% 7.29/5.08 tff(4457,plain,
% 7.29/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s62, s63)) | node2(s62, s63))),
% 7.29/5.08 inference(quant_inst,[status(thm)],[])).
% 7.29/5.08 tff(4458,plain,
% 7.29/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s62, s63)) | node2(s62, s63)),
% 7.29/5.08 inference(modus_ponens,[status(thm)],[4457, 4456])).
% 7.29/5.08 tff(4459,plain,
% 7.29/5.08 (node2(s62, s63)),
% 7.29/5.08 inference(unit_resolution,[status(thm)],[4458, 7, 4443])).
% 7.29/5.08 tff(4460,plain,
% 7.29/5.08 (((~![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(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)))),
% 7.29/5.08 inference(rewrite,[status(thm)],[])).
% 7.29/5.08 tff(4461,plain,
% 7.29/5.08 ((~![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(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62)))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4462,plain,
% 7.30/5.08 ((~![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(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4461, 4460])).
% 7.30/5.08 tff(4463,plain,
% 7.30/5.08 ((~m_main_v_state(s62, c_ready)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62))),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4462, 60, 4459])).
% 7.30/5.08 tff(4464,plain,
% 7.30/5.08 (~m_main_v_state(s62, c_ready)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4463, 4455, 4432])).
% 7.30/5.08 tff(4465,plain,
% 7.30/5.08 (~m_main_v_state(s62, c_busy)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4398, 72, 4436])).
% 7.30/5.08 tff(4466,plain,
% 7.30/5.08 (((~![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))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4467,plain,
% 7.30/5.08 ((~![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))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4468,plain,
% 7.30/5.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s62, c_busy) | m_main_v_state(s62, c_ready)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4467, 4466])).
% 7.30/5.08 tff(4469,plain,
% 7.30/5.08 ($false),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4468, 89, 4465, 4464])).
% 7.30/5.08 tff(4470,plain,(~node4(s62)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.08 tff(4471,plain,
% 7.30/5.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s62) | node4(s62) | (~until5(s62)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s62) | node4(s62) | (~until5(s62)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4472,plain,
% 7.30/5.08 ((node4(s62) | (~until5(s62)) | xuntil6(s62)) <=> (xuntil6(s62) | node4(s62) | (~until5(s62)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4473,plain,
% 7.30/5.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s62) | (~until5(s62)) | xuntil6(s62))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s62) | node4(s62) | (~until5(s62))))),
% 7.30/5.08 inference(monotonicity,[status(thm)],[4472])).
% 7.30/5.08 tff(4474,plain,
% 7.30/5.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s62) | (~until5(s62)) | xuntil6(s62))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s62) | node4(s62) | (~until5(s62)))),
% 7.30/5.08 inference(transitivity,[status(thm)],[4473, 4471])).
% 7.30/5.08 tff(4475,plain,
% 7.30/5.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s62) | (~until5(s62)) | xuntil6(s62))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4476,plain,
% 7.30/5.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s62) | node4(s62) | (~until5(s62))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 7.30/5.08 tff(4477,plain,
% 7.30/5.08 (xuntil6(s62) | (~until5(s62))),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4476, 352, 4470])).
% 7.30/5.08 tff(4478,plain,
% 7.30/5.08 (xuntil6(s62)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4477, 4427])).
% 7.30/5.08 tff(4479,plain,
% 7.30/5.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4480,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4481,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 7.30/5.08 tff(4482,plain,
% 7.30/5.08 ((~xuntil6(s62)) | until5(s63)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4481, 4439, 370])).
% 7.30/5.08 tff(4483,plain,
% 7.30/5.08 (until5(s63)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4482, 4478])).
% 7.30/5.08 tff(4484,assumption,(node4(s63)), introduced(assumption)).
% 7.30/5.08 tff(4485,plain,
% 7.30/5.08 (((~![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)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4486,plain,
% 7.30/5.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s63) | (~node4(s63)))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4487,plain,
% 7.30/5.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s63) | (~node4(s63))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4486, 4485])).
% 7.30/5.08 tff(4488,plain,
% 7.30/5.08 (m_main_v_request(s63)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4487, 28, 4484])).
% 7.30/5.08 tff(4489,plain,
% 7.30/5.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s63) | (~node4(s63)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s63) | (~node4(s63)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4490,plain,
% 7.30/5.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s63) | (~node4(s63)))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4491,plain,
% 7.30/5.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s63) | (~node4(s63))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4490, 4489])).
% 7.30/5.08 tff(4492,plain,
% 7.30/5.08 (always3(s63)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4491, 16, 4484])).
% 7.30/5.08 tff(4493,plain,
% 7.30/5.08 (succ(s63, s64) <=> succ(s63, s64)),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4494,axiom,(succ(s63, s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound64')).
% 7.30/5.08 tff(4495,plain,
% 7.30/5.08 (succ(s63, s64)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4494, 4493])).
% 7.30/5.08 tff(4496,plain,
% 7.30/5.08 (((~![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))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4497,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4498,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4497, 4496])).
% 7.30/5.08 tff(4499,plain,
% 7.30/5.08 (trans(s63, s64)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4498, 4495, 39])).
% 7.30/5.08 tff(4500,plain,
% 7.30/5.08 (((~![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))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4501,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s63, s64)) | (~always3(s63)) | always3(s64))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4502,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s63, s64)) | (~always3(s63)) | always3(s64)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4501, 4500])).
% 7.30/5.08 tff(4503,plain,
% 7.30/5.08 ((~always3(s63)) | always3(s64)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4502, 112, 4499])).
% 7.30/5.08 tff(4504,plain,
% 7.30/5.08 (always3(s64)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4503, 4492])).
% 7.30/5.08 tff(4505,plain,
% 7.30/5.08 (((~![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)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4506,plain,
% 7.30/5.08 (((~m_main_v_state(s64, c_busy)) | (~always3(s64))) <=> ((~always3(s64)) | (~m_main_v_state(s64, c_busy)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4507,plain,
% 7.30/5.08 (((~![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))))),
% 7.30/5.08 inference(monotonicity,[status(thm)],[4506])).
% 7.30/5.08 tff(4508,plain,
% 7.30/5.08 (((~![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)))),
% 7.30/5.08 inference(transitivity,[status(thm)],[4507, 4505])).
% 7.30/5.08 tff(4509,plain,
% 7.30/5.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s64, c_busy)) | (~always3(s64)))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4510,plain,
% 7.30/5.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s64)) | (~m_main_v_state(s64, c_busy))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4509, 4508])).
% 7.30/5.08 tff(4511,plain,
% 7.30/5.08 (~m_main_v_state(s64, c_busy)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4510, 72, 4504])).
% 7.30/5.08 tff(4512,plain,
% 7.30/5.08 (((~![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))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4513,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s63, s64)) | node2(s63, s64))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4514,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s63, s64)) | node2(s63, s64)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4513, 4512])).
% 7.30/5.08 tff(4515,plain,
% 7.30/5.08 (node2(s63, s64)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4514, 7, 4499])).
% 7.30/5.08 tff(4516,plain,
% 7.30/5.08 (((~![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(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)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4517,plain,
% 7.30/5.08 ((~![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(s63, c_ready)) | (~node2(s63, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63)))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4518,plain,
% 7.30/5.08 ((~![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(s63, c_ready)) | (~node2(s63, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4517, 4516])).
% 7.30/5.08 tff(4519,plain,
% 7.30/5.08 ((~m_main_v_state(s63, c_ready)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63))),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4518, 60, 4515])).
% 7.30/5.08 tff(4520,plain,
% 7.30/5.08 (~m_main_v_state(s63, c_ready)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4519, 4511, 4488])).
% 7.30/5.08 tff(4521,plain,
% 7.30/5.08 (~m_main_v_state(s63, c_busy)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4454, 72, 4492])).
% 7.30/5.08 tff(4522,plain,
% 7.30/5.08 (((~![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))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4523,plain,
% 7.30/5.08 ((~![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))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4524,plain,
% 7.30/5.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s63, c_busy) | m_main_v_state(s63, c_ready)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4523, 4522])).
% 7.30/5.08 tff(4525,plain,
% 7.30/5.08 ($false),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4524, 89, 4521, 4520])).
% 7.30/5.08 tff(4526,plain,(~node4(s63)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.08 tff(4527,plain,
% 7.30/5.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s63) | node4(s63) | (~until5(s63)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s63) | node4(s63) | (~until5(s63)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4528,plain,
% 7.30/5.08 ((node4(s63) | (~until5(s63)) | xuntil6(s63)) <=> (xuntil6(s63) | node4(s63) | (~until5(s63)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4529,plain,
% 7.30/5.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s63) | (~until5(s63)) | xuntil6(s63))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s63) | node4(s63) | (~until5(s63))))),
% 7.30/5.08 inference(monotonicity,[status(thm)],[4528])).
% 7.30/5.08 tff(4530,plain,
% 7.30/5.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s63) | (~until5(s63)) | xuntil6(s63))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s63) | node4(s63) | (~until5(s63)))),
% 7.30/5.08 inference(transitivity,[status(thm)],[4529, 4527])).
% 7.30/5.08 tff(4531,plain,
% 7.30/5.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s63) | (~until5(s63)) | xuntil6(s63))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4532,plain,
% 7.30/5.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s63) | node4(s63) | (~until5(s63))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4531, 4530])).
% 7.30/5.08 tff(4533,plain,
% 7.30/5.08 (xuntil6(s63) | (~until5(s63))),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4532, 352, 4526])).
% 7.30/5.08 tff(4534,plain,
% 7.30/5.08 (xuntil6(s63)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4533, 4483])).
% 7.30/5.08 tff(4535,plain,
% 7.30/5.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4536,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4537,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4536, 4535])).
% 7.30/5.08 tff(4538,plain,
% 7.30/5.08 ((~xuntil6(s63)) | until5(s64)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4537, 4495, 370])).
% 7.30/5.08 tff(4539,plain,
% 7.30/5.08 (until5(s64)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4538, 4534])).
% 7.30/5.08 tff(4540,assumption,(node4(s64)), introduced(assumption)).
% 7.30/5.08 tff(4541,plain,
% 7.30/5.08 (((~![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)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4542,plain,
% 7.30/5.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s64) | (~node4(s64)))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4543,plain,
% 7.30/5.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s64) | (~node4(s64))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4542, 4541])).
% 7.30/5.08 tff(4544,plain,
% 7.30/5.08 (m_main_v_request(s64)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4543, 28, 4540])).
% 7.30/5.08 tff(4545,plain,
% 7.30/5.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s64) | (~node4(s64)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s64) | (~node4(s64)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4546,plain,
% 7.30/5.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s64) | (~node4(s64)))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4547,plain,
% 7.30/5.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s64) | (~node4(s64))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 7.30/5.08 tff(4548,plain,
% 7.30/5.08 (always3(s64)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4547, 16, 4540])).
% 7.30/5.08 tff(4549,plain,
% 7.30/5.08 (succ(s64, s65) <=> succ(s64, s65)),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4550,axiom,(succ(s64, s65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound65')).
% 7.30/5.08 tff(4551,plain,
% 7.30/5.08 (succ(s64, s65)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4550, 4549])).
% 7.30/5.08 tff(4552,plain,
% 7.30/5.08 (((~![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))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4553,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4554,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4553, 4552])).
% 7.30/5.08 tff(4555,plain,
% 7.30/5.08 (trans(s64, s65)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4554, 4551, 39])).
% 7.30/5.08 tff(4556,plain,
% 7.30/5.08 (((~![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))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4557,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s64, s65)) | (~always3(s64)) | always3(s65))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4558,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s64, s65)) | (~always3(s64)) | always3(s65)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4557, 4556])).
% 7.30/5.08 tff(4559,plain,
% 7.30/5.08 ((~always3(s64)) | always3(s65)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4558, 112, 4555])).
% 7.30/5.08 tff(4560,plain,
% 7.30/5.08 (always3(s65)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4559, 4548])).
% 7.30/5.08 tff(4561,plain,
% 7.30/5.08 (((~![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)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4562,plain,
% 7.30/5.08 (((~m_main_v_state(s65, c_busy)) | (~always3(s65))) <=> ((~always3(s65)) | (~m_main_v_state(s65, c_busy)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4563,plain,
% 7.30/5.08 (((~![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))))),
% 7.30/5.08 inference(monotonicity,[status(thm)],[4562])).
% 7.30/5.08 tff(4564,plain,
% 7.30/5.08 (((~![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)))),
% 7.30/5.08 inference(transitivity,[status(thm)],[4563, 4561])).
% 7.30/5.08 tff(4565,plain,
% 7.30/5.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s65, c_busy)) | (~always3(s65)))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4566,plain,
% 7.30/5.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s65)) | (~m_main_v_state(s65, c_busy))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4565, 4564])).
% 7.30/5.08 tff(4567,plain,
% 7.30/5.08 (~m_main_v_state(s65, c_busy)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4566, 72, 4560])).
% 7.30/5.08 tff(4568,plain,
% 7.30/5.08 (((~![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))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4569,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s64, s65)) | node2(s64, s65))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4570,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s64, s65)) | node2(s64, s65)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4569, 4568])).
% 7.30/5.08 tff(4571,plain,
% 7.30/5.08 (node2(s64, s65)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4570, 7, 4555])).
% 7.30/5.08 tff(4572,plain,
% 7.30/5.08 (((~![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(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)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4573,plain,
% 7.30/5.08 ((~![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(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64)))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4574,plain,
% 7.30/5.08 ((~![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(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4573, 4572])).
% 7.30/5.08 tff(4575,plain,
% 7.30/5.08 ((~m_main_v_state(s64, c_ready)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64))),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4574, 60, 4571])).
% 7.30/5.08 tff(4576,plain,
% 7.30/5.08 (~m_main_v_state(s64, c_ready)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4575, 4567, 4544])).
% 7.30/5.08 tff(4577,plain,
% 7.30/5.08 (~m_main_v_state(s64, c_busy)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4510, 72, 4548])).
% 7.30/5.08 tff(4578,plain,
% 7.30/5.08 (((~![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))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4579,plain,
% 7.30/5.08 ((~![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))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4580,plain,
% 7.30/5.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s64, c_busy) | m_main_v_state(s64, c_ready)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4579, 4578])).
% 7.30/5.08 tff(4581,plain,
% 7.30/5.08 ($false),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4580, 89, 4577, 4576])).
% 7.30/5.08 tff(4582,plain,(~node4(s64)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.08 tff(4583,plain,
% 7.30/5.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s64) | node4(s64) | (~until5(s64)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s64) | node4(s64) | (~until5(s64)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4584,plain,
% 7.30/5.08 ((node4(s64) | (~until5(s64)) | xuntil6(s64)) <=> (xuntil6(s64) | node4(s64) | (~until5(s64)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4585,plain,
% 7.30/5.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s64) | (~until5(s64)) | xuntil6(s64))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s64) | node4(s64) | (~until5(s64))))),
% 7.30/5.08 inference(monotonicity,[status(thm)],[4584])).
% 7.30/5.08 tff(4586,plain,
% 7.30/5.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s64) | (~until5(s64)) | xuntil6(s64))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s64) | node4(s64) | (~until5(s64)))),
% 7.30/5.08 inference(transitivity,[status(thm)],[4585, 4583])).
% 7.30/5.08 tff(4587,plain,
% 7.30/5.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s64) | (~until5(s64)) | xuntil6(s64))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4588,plain,
% 7.30/5.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s64) | node4(s64) | (~until5(s64))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 7.30/5.08 tff(4589,plain,
% 7.30/5.08 (xuntil6(s64) | (~until5(s64))),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4588, 352, 4582])).
% 7.30/5.08 tff(4590,plain,
% 7.30/5.08 (xuntil6(s64)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4589, 4539])).
% 7.30/5.08 tff(4591,plain,
% 7.30/5.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4592,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4593,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 7.30/5.08 tff(4594,plain,
% 7.30/5.08 ((~xuntil6(s64)) | until5(s65)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4593, 4551, 370])).
% 7.30/5.08 tff(4595,plain,
% 7.30/5.08 (until5(s65)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4594, 4590])).
% 7.30/5.08 tff(4596,assumption,(node4(s65)), introduced(assumption)).
% 7.30/5.08 tff(4597,plain,
% 7.30/5.08 (((~![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)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4598,plain,
% 7.30/5.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s65) | (~node4(s65)))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4599,plain,
% 7.30/5.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s65) | (~node4(s65))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4598, 4597])).
% 7.30/5.08 tff(4600,plain,
% 7.30/5.08 (m_main_v_request(s65)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4599, 28, 4596])).
% 7.30/5.08 tff(4601,plain,
% 7.30/5.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s65) | (~node4(s65)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s65) | (~node4(s65)))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4602,plain,
% 7.30/5.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s65) | (~node4(s65)))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4603,plain,
% 7.30/5.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s65) | (~node4(s65))),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4602, 4601])).
% 7.30/5.08 tff(4604,plain,
% 7.30/5.08 (always3(s65)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4603, 16, 4596])).
% 7.30/5.08 tff(4605,plain,
% 7.30/5.08 (succ(s65, s66) <=> succ(s65, s66)),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4606,axiom,(succ(s65, s66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound66')).
% 7.30/5.08 tff(4607,plain,
% 7.30/5.08 (succ(s65, s66)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4606, 4605])).
% 7.30/5.08 tff(4608,plain,
% 7.30/5.08 (((~![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))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4609,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4610,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4609, 4608])).
% 7.30/5.08 tff(4611,plain,
% 7.30/5.08 (trans(s65, s66)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4610, 4607, 39])).
% 7.30/5.08 tff(4612,plain,
% 7.30/5.08 (((~![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))),
% 7.30/5.08 inference(rewrite,[status(thm)],[])).
% 7.30/5.08 tff(4613,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s65, s66)) | (~always3(s65)) | always3(s66))),
% 7.30/5.08 inference(quant_inst,[status(thm)],[])).
% 7.30/5.08 tff(4614,plain,
% 7.30/5.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s65, s66)) | (~always3(s65)) | always3(s66)),
% 7.30/5.08 inference(modus_ponens,[status(thm)],[4613, 4612])).
% 7.30/5.08 tff(4615,plain,
% 7.30/5.08 ((~always3(s65)) | always3(s66)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4614, 112, 4611])).
% 7.30/5.08 tff(4616,plain,
% 7.30/5.08 (always3(s66)),
% 7.30/5.08 inference(unit_resolution,[status(thm)],[4615, 4604])).
% 7.30/5.08 tff(4617,plain,
% 7.30/5.08 (((~![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)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4618,plain,
% 7.30/5.09 (((~m_main_v_state(s66, c_busy)) | (~always3(s66))) <=> ((~always3(s66)) | (~m_main_v_state(s66, c_busy)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4619,plain,
% 7.30/5.09 (((~![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))))),
% 7.30/5.09 inference(monotonicity,[status(thm)],[4618])).
% 7.30/5.09 tff(4620,plain,
% 7.30/5.09 (((~![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)))),
% 7.30/5.09 inference(transitivity,[status(thm)],[4619, 4617])).
% 7.30/5.09 tff(4621,plain,
% 7.30/5.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s66, c_busy)) | (~always3(s66)))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4622,plain,
% 7.30/5.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s66)) | (~m_main_v_state(s66, c_busy))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4621, 4620])).
% 7.30/5.09 tff(4623,plain,
% 7.30/5.09 (~m_main_v_state(s66, c_busy)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4622, 72, 4616])).
% 7.30/5.09 tff(4624,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4625,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s65, s66)) | node2(s65, s66))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4626,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s65, s66)) | node2(s65, s66)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4625, 4624])).
% 7.30/5.09 tff(4627,plain,
% 7.30/5.09 (node2(s65, s66)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4626, 7, 4611])).
% 7.30/5.09 tff(4628,plain,
% 7.30/5.09 (((~![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(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)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4629,plain,
% 7.30/5.09 ((~![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(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65)))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4630,plain,
% 7.30/5.09 ((~![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(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4629, 4628])).
% 7.30/5.09 tff(4631,plain,
% 7.30/5.09 ((~m_main_v_state(s65, c_ready)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65))),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4630, 60, 4627])).
% 7.30/5.09 tff(4632,plain,
% 7.30/5.09 (~m_main_v_state(s65, c_ready)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4631, 4623, 4600])).
% 7.30/5.09 tff(4633,plain,
% 7.30/5.09 (~m_main_v_state(s65, c_busy)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4566, 72, 4604])).
% 7.30/5.09 tff(4634,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4635,plain,
% 7.30/5.09 ((~![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))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4636,plain,
% 7.30/5.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s65, c_busy) | m_main_v_state(s65, c_ready)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4635, 4634])).
% 7.30/5.09 tff(4637,plain,
% 7.30/5.09 ($false),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4636, 89, 4633, 4632])).
% 7.30/5.09 tff(4638,plain,(~node4(s65)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.09 tff(4639,plain,
% 7.30/5.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s65) | node4(s65) | (~until5(s65)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s65) | node4(s65) | (~until5(s65)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4640,plain,
% 7.30/5.09 ((node4(s65) | (~until5(s65)) | xuntil6(s65)) <=> (xuntil6(s65) | node4(s65) | (~until5(s65)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4641,plain,
% 7.30/5.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s65) | (~until5(s65)) | xuntil6(s65))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s65) | node4(s65) | (~until5(s65))))),
% 7.30/5.09 inference(monotonicity,[status(thm)],[4640])).
% 7.30/5.09 tff(4642,plain,
% 7.30/5.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s65) | (~until5(s65)) | xuntil6(s65))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s65) | node4(s65) | (~until5(s65)))),
% 7.30/5.09 inference(transitivity,[status(thm)],[4641, 4639])).
% 7.30/5.09 tff(4643,plain,
% 7.30/5.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s65) | (~until5(s65)) | xuntil6(s65))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4644,plain,
% 7.30/5.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s65) | node4(s65) | (~until5(s65))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4643, 4642])).
% 7.30/5.09 tff(4645,plain,
% 7.30/5.09 (xuntil6(s65) | (~until5(s65))),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4644, 352, 4638])).
% 7.30/5.09 tff(4646,plain,
% 7.30/5.09 (xuntil6(s65)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4645, 4595])).
% 7.30/5.09 tff(4647,plain,
% 7.30/5.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4648,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4649,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 7.30/5.09 tff(4650,plain,
% 7.30/5.09 ((~xuntil6(s65)) | until5(s66)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4649, 4607, 370])).
% 7.30/5.09 tff(4651,plain,
% 7.30/5.09 (until5(s66)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4650, 4646])).
% 7.30/5.09 tff(4652,assumption,(node4(s66)), introduced(assumption)).
% 7.30/5.09 tff(4653,plain,
% 7.30/5.09 (((~![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)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4654,plain,
% 7.30/5.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s66) | (~node4(s66)))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4655,plain,
% 7.30/5.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s66) | (~node4(s66))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4654, 4653])).
% 7.30/5.09 tff(4656,plain,
% 7.30/5.09 (m_main_v_request(s66)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4655, 28, 4652])).
% 7.30/5.09 tff(4657,plain,
% 7.30/5.09 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s66) | (~node4(s66)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s66) | (~node4(s66)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4658,plain,
% 7.30/5.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s66) | (~node4(s66)))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4659,plain,
% 7.30/5.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s66) | (~node4(s66))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4658, 4657])).
% 7.30/5.09 tff(4660,plain,
% 7.30/5.09 (always3(s66)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4659, 16, 4652])).
% 7.30/5.09 tff(4661,plain,
% 7.30/5.09 (succ(s66, s67) <=> succ(s66, s67)),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4662,axiom,(succ(s66, s67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound67')).
% 7.30/5.09 tff(4663,plain,
% 7.30/5.09 (succ(s66, s67)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4662, 4661])).
% 7.30/5.09 tff(4664,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4665,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4666,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4665, 4664])).
% 7.30/5.09 tff(4667,plain,
% 7.30/5.09 (trans(s66, s67)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4666, 4663, 39])).
% 7.30/5.09 tff(4668,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4669,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s66, s67)) | (~always3(s66)) | always3(s67))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4670,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s66, s67)) | (~always3(s66)) | always3(s67)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4669, 4668])).
% 7.30/5.09 tff(4671,plain,
% 7.30/5.09 ((~always3(s66)) | always3(s67)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4670, 112, 4667])).
% 7.30/5.09 tff(4672,plain,
% 7.30/5.09 (always3(s67)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4671, 4660])).
% 7.30/5.09 tff(4673,plain,
% 7.30/5.09 (((~![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)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4674,plain,
% 7.30/5.09 (((~m_main_v_state(s67, c_busy)) | (~always3(s67))) <=> ((~always3(s67)) | (~m_main_v_state(s67, c_busy)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4675,plain,
% 7.30/5.09 (((~![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))))),
% 7.30/5.09 inference(monotonicity,[status(thm)],[4674])).
% 7.30/5.09 tff(4676,plain,
% 7.30/5.09 (((~![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)))),
% 7.30/5.09 inference(transitivity,[status(thm)],[4675, 4673])).
% 7.30/5.09 tff(4677,plain,
% 7.30/5.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s67, c_busy)) | (~always3(s67)))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4678,plain,
% 7.30/5.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s67)) | (~m_main_v_state(s67, c_busy))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4677, 4676])).
% 7.30/5.09 tff(4679,plain,
% 7.30/5.09 (~m_main_v_state(s67, c_busy)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4678, 72, 4672])).
% 7.30/5.09 tff(4680,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4681,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s66, s67)) | node2(s66, s67))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4682,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s66, s67)) | node2(s66, s67)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4681, 4680])).
% 7.30/5.09 tff(4683,plain,
% 7.30/5.09 (node2(s66, s67)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4682, 7, 4667])).
% 7.30/5.09 tff(4684,plain,
% 7.30/5.09 (((~![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(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)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4685,plain,
% 7.30/5.09 ((~![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(s66, c_ready)) | (~node2(s66, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66)))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4686,plain,
% 7.30/5.09 ((~![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(s66, c_ready)) | (~node2(s66, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4685, 4684])).
% 7.30/5.09 tff(4687,plain,
% 7.30/5.09 ((~m_main_v_state(s66, c_ready)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66))),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4686, 60, 4683])).
% 7.30/5.09 tff(4688,plain,
% 7.30/5.09 (~m_main_v_state(s66, c_ready)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4687, 4679, 4656])).
% 7.30/5.09 tff(4689,plain,
% 7.30/5.09 (~m_main_v_state(s66, c_busy)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4622, 72, 4660])).
% 7.30/5.09 tff(4690,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4691,plain,
% 7.30/5.09 ((~![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))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4692,plain,
% 7.30/5.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s66, c_busy) | m_main_v_state(s66, c_ready)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4691, 4690])).
% 7.30/5.09 tff(4693,plain,
% 7.30/5.09 ($false),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4692, 89, 4689, 4688])).
% 7.30/5.09 tff(4694,plain,(~node4(s66)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.09 tff(4695,plain,
% 7.30/5.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s66) | node4(s66) | (~until5(s66)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s66) | node4(s66) | (~until5(s66)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4696,plain,
% 7.30/5.09 ((node4(s66) | (~until5(s66)) | xuntil6(s66)) <=> (xuntil6(s66) | node4(s66) | (~until5(s66)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4697,plain,
% 7.30/5.09 (((~![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))))),
% 7.30/5.09 inference(monotonicity,[status(thm)],[4696])).
% 7.30/5.09 tff(4698,plain,
% 7.30/5.09 (((~![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)))),
% 7.30/5.09 inference(transitivity,[status(thm)],[4697, 4695])).
% 7.30/5.09 tff(4699,plain,
% 7.30/5.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s66) | (~until5(s66)) | xuntil6(s66))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4700,plain,
% 7.30/5.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s66) | node4(s66) | (~until5(s66))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4699, 4698])).
% 7.30/5.09 tff(4701,plain,
% 7.30/5.09 (xuntil6(s66) | (~until5(s66))),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4700, 352, 4694])).
% 7.30/5.09 tff(4702,plain,
% 7.30/5.09 (xuntil6(s66)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4701, 4651])).
% 7.30/5.09 tff(4703,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4704,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4705,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4704, 4703])).
% 7.30/5.09 tff(4706,plain,
% 7.30/5.09 ((~xuntil6(s66)) | until5(s67)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4705, 4663, 370])).
% 7.30/5.09 tff(4707,plain,
% 7.30/5.09 (until5(s67)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4706, 4702])).
% 7.30/5.09 tff(4708,assumption,(node4(s67)), introduced(assumption)).
% 7.30/5.09 tff(4709,plain,
% 7.30/5.09 (((~![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)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4710,plain,
% 7.30/5.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s67) | (~node4(s67)))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4711,plain,
% 7.30/5.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s67) | (~node4(s67))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4710, 4709])).
% 7.30/5.09 tff(4712,plain,
% 7.30/5.09 (m_main_v_request(s67)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4711, 28, 4708])).
% 7.30/5.09 tff(4713,plain,
% 7.30/5.09 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4714,plain,
% 7.30/5.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4715,plain,
% 7.30/5.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4714, 4713])).
% 7.30/5.09 tff(4716,plain,
% 7.30/5.09 (always3(s67)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4715, 16, 4708])).
% 7.30/5.09 tff(4717,plain,
% 7.30/5.09 (succ(s67, s68) <=> succ(s67, s68)),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4718,axiom,(succ(s67, s68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound68')).
% 7.30/5.09 tff(4719,plain,
% 7.30/5.09 (succ(s67, s68)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4718, 4717])).
% 7.30/5.09 tff(4720,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4721,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4722,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4721, 4720])).
% 7.30/5.09 tff(4723,plain,
% 7.30/5.09 (trans(s67, s68)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4722, 4719, 39])).
% 7.30/5.09 tff(4724,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4725,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s67, s68)) | (~always3(s67)) | always3(s68))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4726,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s67, s68)) | (~always3(s67)) | always3(s68)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4725, 4724])).
% 7.30/5.09 tff(4727,plain,
% 7.30/5.09 ((~always3(s67)) | always3(s68)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4726, 112, 4723])).
% 7.30/5.09 tff(4728,plain,
% 7.30/5.09 (always3(s68)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4727, 4716])).
% 7.30/5.09 tff(4729,plain,
% 7.30/5.09 (((~![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)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4730,plain,
% 7.30/5.09 (((~m_main_v_state(s68, c_busy)) | (~always3(s68))) <=> ((~always3(s68)) | (~m_main_v_state(s68, c_busy)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4731,plain,
% 7.30/5.09 (((~![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))))),
% 7.30/5.09 inference(monotonicity,[status(thm)],[4730])).
% 7.30/5.09 tff(4732,plain,
% 7.30/5.09 (((~![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)))),
% 7.30/5.09 inference(transitivity,[status(thm)],[4731, 4729])).
% 7.30/5.09 tff(4733,plain,
% 7.30/5.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s68, c_busy)) | (~always3(s68)))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4734,plain,
% 7.30/5.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s68)) | (~m_main_v_state(s68, c_busy))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4733, 4732])).
% 7.30/5.09 tff(4735,plain,
% 7.30/5.09 (~m_main_v_state(s68, c_busy)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4734, 72, 4728])).
% 7.30/5.09 tff(4736,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4737,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s67, s68)) | node2(s67, s68))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4738,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s67, s68)) | node2(s67, s68)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4737, 4736])).
% 7.30/5.09 tff(4739,plain,
% 7.30/5.09 (node2(s67, s68)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4738, 7, 4723])).
% 7.30/5.09 tff(4740,plain,
% 7.30/5.09 (((~![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(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)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4741,plain,
% 7.30/5.09 ((~![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(s67, c_ready)) | (~node2(s67, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67)))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4742,plain,
% 7.30/5.09 ((~![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(s67, c_ready)) | (~node2(s67, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4741, 4740])).
% 7.30/5.09 tff(4743,plain,
% 7.30/5.09 ((~m_main_v_state(s67, c_ready)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67))),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4742, 60, 4739])).
% 7.30/5.09 tff(4744,plain,
% 7.30/5.09 (~m_main_v_state(s67, c_ready)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4743, 4735, 4712])).
% 7.30/5.09 tff(4745,plain,
% 7.30/5.09 (~m_main_v_state(s67, c_busy)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4678, 72, 4716])).
% 7.30/5.09 tff(4746,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4747,plain,
% 7.30/5.09 ((~![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))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4748,plain,
% 7.30/5.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s67, c_busy) | m_main_v_state(s67, c_ready)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4747, 4746])).
% 7.30/5.09 tff(4749,plain,
% 7.30/5.09 ($false),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4748, 89, 4745, 4744])).
% 7.30/5.09 tff(4750,plain,(~node4(s67)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.09 tff(4751,plain,
% 7.30/5.09 (((~![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)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4752,plain,
% 7.30/5.09 ((node4(s67) | (~until5(s67)) | xuntil6(s67)) <=> (xuntil6(s67) | node4(s67) | (~until5(s67)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4753,plain,
% 7.30/5.09 (((~![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))))),
% 7.30/5.09 inference(monotonicity,[status(thm)],[4752])).
% 7.30/5.09 tff(4754,plain,
% 7.30/5.09 (((~![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)))),
% 7.30/5.09 inference(transitivity,[status(thm)],[4753, 4751])).
% 7.30/5.09 tff(4755,plain,
% 7.30/5.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s67) | (~until5(s67)) | xuntil6(s67))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4756,plain,
% 7.30/5.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s67) | node4(s67) | (~until5(s67))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4755, 4754])).
% 7.30/5.09 tff(4757,plain,
% 7.30/5.09 (xuntil6(s67) | (~until5(s67))),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4756, 352, 4750])).
% 7.30/5.09 tff(4758,plain,
% 7.30/5.09 (xuntil6(s67)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4757, 4707])).
% 7.30/5.09 tff(4759,plain,
% 7.30/5.09 (((~![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))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4760,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4761,plain,
% 7.30/5.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68)),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4760, 4759])).
% 7.30/5.09 tff(4762,plain,
% 7.30/5.09 ((~xuntil6(s67)) | until5(s68)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4761, 4719, 370])).
% 7.30/5.09 tff(4763,plain,
% 7.30/5.09 (until5(s68)),
% 7.30/5.09 inference(unit_resolution,[status(thm)],[4762, 4758])).
% 7.30/5.09 tff(4764,assumption,(node4(s68)), introduced(assumption)).
% 7.30/5.09 tff(4765,plain,
% 7.30/5.09 (((~![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)))),
% 7.30/5.09 inference(rewrite,[status(thm)],[])).
% 7.30/5.09 tff(4766,plain,
% 7.30/5.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s68) | (~node4(s68)))),
% 7.30/5.09 inference(quant_inst,[status(thm)],[])).
% 7.30/5.09 tff(4767,plain,
% 7.30/5.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s68) | (~node4(s68))),
% 7.30/5.09 inference(modus_ponens,[status(thm)],[4766, 4765])).
% 7.30/5.10 tff(4768,plain,
% 7.30/5.10 (m_main_v_request(s68)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4767, 28, 4764])).
% 7.30/5.10 tff(4769,plain,
% 7.30/5.10 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4770,plain,
% 7.30/5.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4771,plain,
% 7.30/5.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4770, 4769])).
% 7.30/5.10 tff(4772,plain,
% 7.30/5.10 (always3(s68)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4771, 16, 4764])).
% 7.30/5.10 tff(4773,plain,
% 7.30/5.10 (succ(s68, s69) <=> succ(s68, s69)),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4774,axiom,(succ(s68, s69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound69')).
% 7.30/5.10 tff(4775,plain,
% 7.30/5.10 (succ(s68, s69)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 7.30/5.10 tff(4776,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4777,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4778,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4777, 4776])).
% 7.30/5.10 tff(4779,plain,
% 7.30/5.10 (trans(s68, s69)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4778, 4775, 39])).
% 7.30/5.10 tff(4780,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4781,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s68, s69)) | (~always3(s68)) | always3(s69))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4782,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s68, s69)) | (~always3(s68)) | always3(s69)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4781, 4780])).
% 7.30/5.10 tff(4783,plain,
% 7.30/5.10 ((~always3(s68)) | always3(s69)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4782, 112, 4779])).
% 7.30/5.10 tff(4784,plain,
% 7.30/5.10 (always3(s69)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4783, 4772])).
% 7.30/5.10 tff(4785,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4786,plain,
% 7.30/5.10 (((~m_main_v_state(s69, c_busy)) | (~always3(s69))) <=> ((~always3(s69)) | (~m_main_v_state(s69, c_busy)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4787,plain,
% 7.30/5.10 (((~![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))))),
% 7.30/5.10 inference(monotonicity,[status(thm)],[4786])).
% 7.30/5.10 tff(4788,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(transitivity,[status(thm)],[4787, 4785])).
% 7.30/5.10 tff(4789,plain,
% 7.30/5.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s69, c_busy)) | (~always3(s69)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4790,plain,
% 7.30/5.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s69)) | (~m_main_v_state(s69, c_busy))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4789, 4788])).
% 7.30/5.10 tff(4791,plain,
% 7.30/5.10 (~m_main_v_state(s69, c_busy)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4790, 72, 4784])).
% 7.30/5.10 tff(4792,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4793,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s68, s69)) | node2(s68, s69))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4794,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s68, s69)) | node2(s68, s69)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 7.30/5.10 tff(4795,plain,
% 7.30/5.10 (node2(s68, s69)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4794, 7, 4779])).
% 7.30/5.10 tff(4796,plain,
% 7.30/5.10 (((~![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(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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4797,plain,
% 7.30/5.10 ((~![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(s68, c_ready)) | (~node2(s68, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4798,plain,
% 7.30/5.10 ((~![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(s68, c_ready)) | (~node2(s68, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 7.30/5.10 tff(4799,plain,
% 7.30/5.10 ((~m_main_v_state(s68, c_ready)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68))),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4798, 60, 4795])).
% 7.30/5.10 tff(4800,plain,
% 7.30/5.10 (~m_main_v_state(s68, c_ready)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4799, 4791, 4768])).
% 7.30/5.10 tff(4801,plain,
% 7.30/5.10 (~m_main_v_state(s68, c_busy)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4734, 72, 4772])).
% 7.30/5.10 tff(4802,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4803,plain,
% 7.30/5.10 ((~![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))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4804,plain,
% 7.30/5.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s68, c_busy) | m_main_v_state(s68, c_ready)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4803, 4802])).
% 7.30/5.10 tff(4805,plain,
% 7.30/5.10 ($false),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4804, 89, 4801, 4800])).
% 7.30/5.10 tff(4806,plain,(~node4(s68)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.10 tff(4807,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4808,plain,
% 7.30/5.10 ((node4(s68) | (~until5(s68)) | xuntil6(s68)) <=> (xuntil6(s68) | node4(s68) | (~until5(s68)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4809,plain,
% 7.30/5.10 (((~![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))))),
% 7.30/5.10 inference(monotonicity,[status(thm)],[4808])).
% 7.30/5.10 tff(4810,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(transitivity,[status(thm)],[4809, 4807])).
% 7.30/5.10 tff(4811,plain,
% 7.30/5.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s68) | (~until5(s68)) | xuntil6(s68))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4812,plain,
% 7.30/5.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s68) | node4(s68) | (~until5(s68))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4811, 4810])).
% 7.30/5.10 tff(4813,plain,
% 7.30/5.10 (xuntil6(s68) | (~until5(s68))),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4812, 352, 4806])).
% 7.30/5.10 tff(4814,plain,
% 7.30/5.10 (xuntil6(s68)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4813, 4763])).
% 7.30/5.10 tff(4815,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4816,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4817,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4816, 4815])).
% 7.30/5.10 tff(4818,plain,
% 7.30/5.10 ((~xuntil6(s68)) | until5(s69)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4817, 4775, 370])).
% 7.30/5.10 tff(4819,plain,
% 7.30/5.10 (until5(s69)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4818, 4814])).
% 7.30/5.10 tff(4820,assumption,(node4(s69)), introduced(assumption)).
% 7.30/5.10 tff(4821,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4822,plain,
% 7.30/5.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s69) | (~node4(s69)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4823,plain,
% 7.30/5.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s69) | (~node4(s69))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4822, 4821])).
% 7.30/5.10 tff(4824,plain,
% 7.30/5.10 (m_main_v_request(s69)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4823, 28, 4820])).
% 7.30/5.10 tff(4825,plain,
% 7.30/5.10 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s69) | (~node4(s69)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4826,plain,
% 7.30/5.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s69) | (~node4(s69)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4827,plain,
% 7.30/5.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4826, 4825])).
% 7.30/5.10 tff(4828,plain,
% 7.30/5.10 (always3(s69)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4827, 16, 4820])).
% 7.30/5.10 tff(4829,plain,
% 7.30/5.10 (succ(s69, s70) <=> succ(s69, s70)),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4830,axiom,(succ(s69, s70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound70')).
% 7.30/5.10 tff(4831,plain,
% 7.30/5.10 (succ(s69, s70)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4830, 4829])).
% 7.30/5.10 tff(4832,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4833,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4834,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4833, 4832])).
% 7.30/5.10 tff(4835,plain,
% 7.30/5.10 (trans(s69, s70)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4834, 4831, 39])).
% 7.30/5.10 tff(4836,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4837,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s69, s70)) | (~always3(s69)) | always3(s70))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4838,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s69, s70)) | (~always3(s69)) | always3(s70)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4837, 4836])).
% 7.30/5.10 tff(4839,plain,
% 7.30/5.10 ((~always3(s69)) | always3(s70)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4838, 112, 4835])).
% 7.30/5.10 tff(4840,plain,
% 7.30/5.10 (always3(s70)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4839, 4828])).
% 7.30/5.10 tff(4841,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4842,plain,
% 7.30/5.10 (((~m_main_v_state(s70, c_busy)) | (~always3(s70))) <=> ((~always3(s70)) | (~m_main_v_state(s70, c_busy)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4843,plain,
% 7.30/5.10 (((~![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))))),
% 7.30/5.10 inference(monotonicity,[status(thm)],[4842])).
% 7.30/5.10 tff(4844,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(transitivity,[status(thm)],[4843, 4841])).
% 7.30/5.10 tff(4845,plain,
% 7.30/5.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s70, c_busy)) | (~always3(s70)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4846,plain,
% 7.30/5.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s70)) | (~m_main_v_state(s70, c_busy))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4845, 4844])).
% 7.30/5.10 tff(4847,plain,
% 7.30/5.10 (~m_main_v_state(s70, c_busy)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4846, 72, 4840])).
% 7.30/5.10 tff(4848,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4849,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s69, s70)) | node2(s69, s70))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4850,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s69, s70)) | node2(s69, s70)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4849, 4848])).
% 7.30/5.10 tff(4851,plain,
% 7.30/5.10 (node2(s69, s70)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4850, 7, 4835])).
% 7.30/5.10 tff(4852,plain,
% 7.30/5.10 (((~![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(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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4853,plain,
% 7.30/5.10 ((~![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(s69, c_ready)) | (~node2(s69, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4854,plain,
% 7.30/5.10 ((~![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(s69, c_ready)) | (~node2(s69, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 7.30/5.10 tff(4855,plain,
% 7.30/5.10 ((~m_main_v_state(s69, c_ready)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69))),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4854, 60, 4851])).
% 7.30/5.10 tff(4856,plain,
% 7.30/5.10 (~m_main_v_state(s69, c_ready)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4855, 4847, 4824])).
% 7.30/5.10 tff(4857,plain,
% 7.30/5.10 (~m_main_v_state(s69, c_busy)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4790, 72, 4828])).
% 7.30/5.10 tff(4858,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4859,plain,
% 7.30/5.10 ((~![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))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4860,plain,
% 7.30/5.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s69, c_busy) | m_main_v_state(s69, c_ready)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4859, 4858])).
% 7.30/5.10 tff(4861,plain,
% 7.30/5.10 ($false),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4860, 89, 4857, 4856])).
% 7.30/5.10 tff(4862,plain,(~node4(s69)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.10 tff(4863,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4864,plain,
% 7.30/5.10 ((node4(s69) | (~until5(s69)) | xuntil6(s69)) <=> (xuntil6(s69) | node4(s69) | (~until5(s69)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4865,plain,
% 7.30/5.10 (((~![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))))),
% 7.30/5.10 inference(monotonicity,[status(thm)],[4864])).
% 7.30/5.10 tff(4866,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(transitivity,[status(thm)],[4865, 4863])).
% 7.30/5.10 tff(4867,plain,
% 7.30/5.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s69) | (~until5(s69)) | xuntil6(s69))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4868,plain,
% 7.30/5.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s69) | node4(s69) | (~until5(s69))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4867, 4866])).
% 7.30/5.10 tff(4869,plain,
% 7.30/5.10 (xuntil6(s69) | (~until5(s69))),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4868, 352, 4862])).
% 7.30/5.10 tff(4870,plain,
% 7.30/5.10 (xuntil6(s69)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4869, 4819])).
% 7.30/5.10 tff(4871,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4872,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4873,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4872, 4871])).
% 7.30/5.10 tff(4874,plain,
% 7.30/5.10 ((~xuntil6(s69)) | until5(s70)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4873, 4831, 370])).
% 7.30/5.10 tff(4875,plain,
% 7.30/5.10 (until5(s70)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4874, 4870])).
% 7.30/5.10 tff(4876,assumption,(node4(s70)), introduced(assumption)).
% 7.30/5.10 tff(4877,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4878,plain,
% 7.30/5.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s70) | (~node4(s70)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4879,plain,
% 7.30/5.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s70) | (~node4(s70))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 7.30/5.10 tff(4880,plain,
% 7.30/5.10 (m_main_v_request(s70)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4879, 28, 4876])).
% 7.30/5.10 tff(4881,plain,
% 7.30/5.10 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4882,plain,
% 7.30/5.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4883,plain,
% 7.30/5.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 7.30/5.10 tff(4884,plain,
% 7.30/5.10 (always3(s70)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4883, 16, 4876])).
% 7.30/5.10 tff(4885,plain,
% 7.30/5.10 (succ(s70, s71) <=> succ(s70, s71)),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4886,axiom,(succ(s70, s71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound71')).
% 7.30/5.10 tff(4887,plain,
% 7.30/5.10 (succ(s70, s71)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 7.30/5.10 tff(4888,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4889,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4890,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4889, 4888])).
% 7.30/5.10 tff(4891,plain,
% 7.30/5.10 (trans(s70, s71)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4890, 4887, 39])).
% 7.30/5.10 tff(4892,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4893,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s70, s71)) | (~always3(s70)) | always3(s71))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4894,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s70, s71)) | (~always3(s70)) | always3(s71)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 7.30/5.10 tff(4895,plain,
% 7.30/5.10 ((~always3(s70)) | always3(s71)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4894, 112, 4891])).
% 7.30/5.10 tff(4896,plain,
% 7.30/5.10 (always3(s71)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4895, 4884])).
% 7.30/5.10 tff(4897,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4898,plain,
% 7.30/5.10 (((~m_main_v_state(s71, c_busy)) | (~always3(s71))) <=> ((~always3(s71)) | (~m_main_v_state(s71, c_busy)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4899,plain,
% 7.30/5.10 (((~![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))))),
% 7.30/5.10 inference(monotonicity,[status(thm)],[4898])).
% 7.30/5.10 tff(4900,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(transitivity,[status(thm)],[4899, 4897])).
% 7.30/5.10 tff(4901,plain,
% 7.30/5.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s71, c_busy)) | (~always3(s71)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4902,plain,
% 7.30/5.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s71)) | (~m_main_v_state(s71, c_busy))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4901, 4900])).
% 7.30/5.10 tff(4903,plain,
% 7.30/5.10 (~m_main_v_state(s71, c_busy)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4902, 72, 4896])).
% 7.30/5.10 tff(4904,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4905,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s70, s71)) | node2(s70, s71))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4906,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s70, s71)) | node2(s70, s71)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4905, 4904])).
% 7.30/5.10 tff(4907,plain,
% 7.30/5.10 (node2(s70, s71)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4906, 7, 4891])).
% 7.30/5.10 tff(4908,plain,
% 7.30/5.10 (((~![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(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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4909,plain,
% 7.30/5.10 ((~![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(s70, c_ready)) | (~node2(s70, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4910,plain,
% 7.30/5.10 ((~![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(s70, c_ready)) | (~node2(s70, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4909, 4908])).
% 7.30/5.10 tff(4911,plain,
% 7.30/5.10 ((~m_main_v_state(s70, c_ready)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70))),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4910, 60, 4907])).
% 7.30/5.10 tff(4912,plain,
% 7.30/5.10 (~m_main_v_state(s70, c_ready)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4911, 4903, 4880])).
% 7.30/5.10 tff(4913,plain,
% 7.30/5.10 (~m_main_v_state(s70, c_busy)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4846, 72, 4884])).
% 7.30/5.10 tff(4914,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4915,plain,
% 7.30/5.10 ((~![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))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4916,plain,
% 7.30/5.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s70, c_busy) | m_main_v_state(s70, c_ready)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4915, 4914])).
% 7.30/5.10 tff(4917,plain,
% 7.30/5.10 ($false),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4916, 89, 4913, 4912])).
% 7.30/5.10 tff(4918,plain,(~node4(s70)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.10 tff(4919,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4920,plain,
% 7.30/5.10 ((node4(s70) | (~until5(s70)) | xuntil6(s70)) <=> (xuntil6(s70) | node4(s70) | (~until5(s70)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4921,plain,
% 7.30/5.10 (((~![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))))),
% 7.30/5.10 inference(monotonicity,[status(thm)],[4920])).
% 7.30/5.10 tff(4922,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(transitivity,[status(thm)],[4921, 4919])).
% 7.30/5.10 tff(4923,plain,
% 7.30/5.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s70) | (~until5(s70)) | xuntil6(s70))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4924,plain,
% 7.30/5.10 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s70) | node4(s70) | (~until5(s70))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4923, 4922])).
% 7.30/5.10 tff(4925,plain,
% 7.30/5.10 (xuntil6(s70) | (~until5(s70))),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4924, 352, 4918])).
% 7.30/5.10 tff(4926,plain,
% 7.30/5.10 (xuntil6(s70)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4925, 4875])).
% 7.30/5.10 tff(4927,plain,
% 7.30/5.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4928,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4929,plain,
% 7.30/5.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4928, 4927])).
% 7.30/5.10 tff(4930,plain,
% 7.30/5.10 ((~xuntil6(s70)) | until5(s71)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4929, 4887, 370])).
% 7.30/5.10 tff(4931,plain,
% 7.30/5.10 (until5(s71)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4930, 4926])).
% 7.30/5.10 tff(4932,assumption,(node4(s71)), introduced(assumption)).
% 7.30/5.10 tff(4933,plain,
% 7.30/5.10 (((~![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)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4934,plain,
% 7.30/5.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s71) | (~node4(s71)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4935,plain,
% 7.30/5.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s71) | (~node4(s71))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 7.30/5.10 tff(4936,plain,
% 7.30/5.10 (m_main_v_request(s71)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4935, 28, 4932])).
% 7.30/5.10 tff(4937,plain,
% 7.30/5.10 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s71) | (~node4(s71)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s71) | (~node4(s71)))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4938,plain,
% 7.30/5.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s71) | (~node4(s71)))),
% 7.30/5.10 inference(quant_inst,[status(thm)],[])).
% 7.30/5.10 tff(4939,plain,
% 7.30/5.10 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s71) | (~node4(s71))),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 7.30/5.10 tff(4940,plain,
% 7.30/5.10 (always3(s71)),
% 7.30/5.10 inference(unit_resolution,[status(thm)],[4939, 16, 4932])).
% 7.30/5.10 tff(4941,plain,
% 7.30/5.10 (succ(s71, s72) <=> succ(s71, s72)),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.10 tff(4942,axiom,(succ(s71, s72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound72')).
% 7.30/5.10 tff(4943,plain,
% 7.30/5.10 (succ(s71, s72)),
% 7.30/5.10 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 7.30/5.10 tff(4944,plain,
% 7.30/5.10 (((~![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))),
% 7.30/5.10 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4945,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(4946,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[4945, 4944])).
% 7.30/5.11 tff(4947,plain,
% 7.30/5.11 (trans(s71, s72)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4946, 4943, 39])).
% 7.30/5.11 tff(4948,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4949,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s71, s72)) | (~always3(s71)) | always3(s72))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(4950,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s71, s72)) | (~always3(s71)) | always3(s72)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[4949, 4948])).
% 7.30/5.11 tff(4951,plain,
% 7.30/5.11 ((~always3(s71)) | always3(s72)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4950, 112, 4947])).
% 7.30/5.11 tff(4952,plain,
% 7.30/5.11 (always3(s72)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4951, 4940])).
% 7.30/5.11 tff(4953,plain,
% 7.30/5.11 (((~![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)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4954,plain,
% 7.30/5.11 (((~m_main_v_state(s72, c_busy)) | (~always3(s72))) <=> ((~always3(s72)) | (~m_main_v_state(s72, c_busy)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4955,plain,
% 7.30/5.11 (((~![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))))),
% 7.30/5.11 inference(monotonicity,[status(thm)],[4954])).
% 7.30/5.11 tff(4956,plain,
% 7.30/5.11 (((~![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)))),
% 7.30/5.11 inference(transitivity,[status(thm)],[4955, 4953])).
% 7.30/5.11 tff(4957,plain,
% 7.30/5.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s72, c_busy)) | (~always3(s72)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(4958,plain,
% 7.30/5.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s72)) | (~m_main_v_state(s72, c_busy))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[4957, 4956])).
% 7.30/5.11 tff(4959,plain,
% 7.30/5.11 (~m_main_v_state(s72, c_busy)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4958, 72, 4952])).
% 7.30/5.11 tff(4960,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4961,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s71, s72)) | node2(s71, s72))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(4962,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s71, s72)) | node2(s71, s72)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 7.30/5.11 tff(4963,plain,
% 7.30/5.11 (node2(s71, s72)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4962, 7, 4947])).
% 7.30/5.11 tff(4964,plain,
% 7.30/5.11 (((~![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(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)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4965,plain,
% 7.30/5.11 ((~![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(s71, c_ready)) | (~node2(s71, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(4966,plain,
% 7.30/5.11 ((~![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(s71, c_ready)) | (~node2(s71, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[4965, 4964])).
% 7.30/5.11 tff(4967,plain,
% 7.30/5.11 ((~m_main_v_state(s71, c_ready)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71))),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4966, 60, 4963])).
% 7.30/5.11 tff(4968,plain,
% 7.30/5.11 (~m_main_v_state(s71, c_ready)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4967, 4959, 4936])).
% 7.30/5.11 tff(4969,plain,
% 7.30/5.11 (~m_main_v_state(s71, c_busy)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4902, 72, 4940])).
% 7.30/5.11 tff(4970,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4971,plain,
% 7.30/5.11 ((~![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))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(4972,plain,
% 7.30/5.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s71, c_busy) | m_main_v_state(s71, c_ready)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[4971, 4970])).
% 7.30/5.11 tff(4973,plain,
% 7.30/5.11 ($false),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4972, 89, 4969, 4968])).
% 7.30/5.11 tff(4974,plain,(~node4(s71)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.11 tff(4975,plain,
% 7.30/5.11 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s71) | node4(s71) | (~until5(s71)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s71) | node4(s71) | (~until5(s71)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4976,plain,
% 7.30/5.11 ((node4(s71) | (~until5(s71)) | xuntil6(s71)) <=> (xuntil6(s71) | node4(s71) | (~until5(s71)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4977,plain,
% 7.30/5.11 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s71) | (~until5(s71)) | xuntil6(s71))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s71) | node4(s71) | (~until5(s71))))),
% 7.30/5.11 inference(monotonicity,[status(thm)],[4976])).
% 7.30/5.11 tff(4978,plain,
% 7.30/5.11 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s71) | (~until5(s71)) | xuntil6(s71))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s71) | node4(s71) | (~until5(s71)))),
% 7.30/5.11 inference(transitivity,[status(thm)],[4977, 4975])).
% 7.30/5.11 tff(4979,plain,
% 7.30/5.11 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s71) | (~until5(s71)) | xuntil6(s71))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(4980,plain,
% 7.30/5.11 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s71) | node4(s71) | (~until5(s71))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[4979, 4978])).
% 7.30/5.11 tff(4981,plain,
% 7.30/5.11 (xuntil6(s71) | (~until5(s71))),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4980, 352, 4974])).
% 7.30/5.11 tff(4982,plain,
% 7.30/5.11 (xuntil6(s71)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4981, 4931])).
% 7.30/5.11 tff(4983,plain,
% 7.30/5.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4984,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(4985,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 7.30/5.11 tff(4986,plain,
% 7.30/5.11 ((~xuntil6(s71)) | until5(s72)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4985, 4943, 370])).
% 7.30/5.11 tff(4987,plain,
% 7.30/5.11 (until5(s72)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4986, 4982])).
% 7.30/5.11 tff(4988,assumption,(node4(s72)), introduced(assumption)).
% 7.30/5.11 tff(4989,plain,
% 7.30/5.11 (((~![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)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4990,plain,
% 7.30/5.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s72) | (~node4(s72)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(4991,plain,
% 7.30/5.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s72) | (~node4(s72))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[4990, 4989])).
% 7.30/5.11 tff(4992,plain,
% 7.30/5.11 (m_main_v_request(s72)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4991, 28, 4988])).
% 7.30/5.11 tff(4993,plain,
% 7.30/5.11 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s72) | (~node4(s72)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s72) | (~node4(s72)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4994,plain,
% 7.30/5.11 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s72) | (~node4(s72)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(4995,plain,
% 7.30/5.11 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s72) | (~node4(s72))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[4994, 4993])).
% 7.30/5.11 tff(4996,plain,
% 7.30/5.11 (always3(s72)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4995, 16, 4988])).
% 7.30/5.11 tff(4997,plain,
% 7.30/5.11 (succ(s72, s73) <=> succ(s72, s73)),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(4998,axiom,(succ(s72, s73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound73')).
% 7.30/5.11 tff(4999,plain,
% 7.30/5.11 (succ(s72, s73)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[4998, 4997])).
% 7.30/5.11 tff(5000,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5001,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5002,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5001, 5000])).
% 7.30/5.11 tff(5003,plain,
% 7.30/5.11 (trans(s72, s73)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5002, 4999, 39])).
% 7.30/5.11 tff(5004,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5005,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s72, s73)) | (~always3(s72)) | always3(s73))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5006,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s72, s73)) | (~always3(s72)) | always3(s73)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5005, 5004])).
% 7.30/5.11 tff(5007,plain,
% 7.30/5.11 ((~always3(s72)) | always3(s73)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5006, 112, 5003])).
% 7.30/5.11 tff(5008,plain,
% 7.30/5.11 (always3(s73)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5007, 4996])).
% 7.30/5.11 tff(5009,plain,
% 7.30/5.11 (((~![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)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5010,plain,
% 7.30/5.11 (((~m_main_v_state(s73, c_busy)) | (~always3(s73))) <=> ((~always3(s73)) | (~m_main_v_state(s73, c_busy)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5011,plain,
% 7.30/5.11 (((~![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))))),
% 7.30/5.11 inference(monotonicity,[status(thm)],[5010])).
% 7.30/5.11 tff(5012,plain,
% 7.30/5.11 (((~![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)))),
% 7.30/5.11 inference(transitivity,[status(thm)],[5011, 5009])).
% 7.30/5.11 tff(5013,plain,
% 7.30/5.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s73, c_busy)) | (~always3(s73)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5014,plain,
% 7.30/5.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s73)) | (~m_main_v_state(s73, c_busy))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5013, 5012])).
% 7.30/5.11 tff(5015,plain,
% 7.30/5.11 (~m_main_v_state(s73, c_busy)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5014, 72, 5008])).
% 7.30/5.11 tff(5016,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5017,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s72, s73)) | node2(s72, s73))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5018,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s72, s73)) | node2(s72, s73)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5017, 5016])).
% 7.30/5.11 tff(5019,plain,
% 7.30/5.11 (node2(s72, s73)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5018, 7, 5003])).
% 7.30/5.11 tff(5020,plain,
% 7.30/5.11 (((~![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(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)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5021,plain,
% 7.30/5.11 ((~![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(s72, c_ready)) | (~node2(s72, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5022,plain,
% 7.30/5.11 ((~![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(s72, c_ready)) | (~node2(s72, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 7.30/5.11 tff(5023,plain,
% 7.30/5.11 ((~m_main_v_state(s72, c_ready)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72))),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5022, 60, 5019])).
% 7.30/5.11 tff(5024,plain,
% 7.30/5.11 (~m_main_v_state(s72, c_ready)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5023, 5015, 4992])).
% 7.30/5.11 tff(5025,plain,
% 7.30/5.11 (~m_main_v_state(s72, c_busy)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[4958, 72, 4996])).
% 7.30/5.11 tff(5026,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5027,plain,
% 7.30/5.11 ((~![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))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5028,plain,
% 7.30/5.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s72, c_busy) | m_main_v_state(s72, c_ready)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5027, 5026])).
% 7.30/5.11 tff(5029,plain,
% 7.30/5.11 ($false),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5028, 89, 5025, 5024])).
% 7.30/5.11 tff(5030,plain,(~node4(s72)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.11 tff(5031,plain,
% 7.30/5.11 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s72) | node4(s72) | (~until5(s72)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s72) | node4(s72) | (~until5(s72)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5032,plain,
% 7.30/5.11 ((node4(s72) | (~until5(s72)) | xuntil6(s72)) <=> (xuntil6(s72) | node4(s72) | (~until5(s72)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5033,plain,
% 7.30/5.11 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s72) | (~until5(s72)) | xuntil6(s72))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s72) | node4(s72) | (~until5(s72))))),
% 7.30/5.11 inference(monotonicity,[status(thm)],[5032])).
% 7.30/5.11 tff(5034,plain,
% 7.30/5.11 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s72) | (~until5(s72)) | xuntil6(s72))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s72) | node4(s72) | (~until5(s72)))),
% 7.30/5.11 inference(transitivity,[status(thm)],[5033, 5031])).
% 7.30/5.11 tff(5035,plain,
% 7.30/5.11 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s72) | (~until5(s72)) | xuntil6(s72))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5036,plain,
% 7.30/5.11 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s72) | node4(s72) | (~until5(s72))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5035, 5034])).
% 7.30/5.11 tff(5037,plain,
% 7.30/5.11 (xuntil6(s72) | (~until5(s72))),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5036, 352, 5030])).
% 7.30/5.11 tff(5038,plain,
% 7.30/5.11 (xuntil6(s72)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5037, 4987])).
% 7.30/5.11 tff(5039,plain,
% 7.30/5.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5040,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5041,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5040, 5039])).
% 7.30/5.11 tff(5042,plain,
% 7.30/5.11 ((~xuntil6(s72)) | until5(s73)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5041, 4999, 370])).
% 7.30/5.11 tff(5043,plain,
% 7.30/5.11 (until5(s73)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5042, 5038])).
% 7.30/5.11 tff(5044,assumption,(node4(s73)), introduced(assumption)).
% 7.30/5.11 tff(5045,plain,
% 7.30/5.11 (((~![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)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5046,plain,
% 7.30/5.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s73) | (~node4(s73)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5047,plain,
% 7.30/5.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s73) | (~node4(s73))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5046, 5045])).
% 7.30/5.11 tff(5048,plain,
% 7.30/5.11 (m_main_v_request(s73)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5047, 28, 5044])).
% 7.30/5.11 tff(5049,plain,
% 7.30/5.11 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s73) | (~node4(s73)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s73) | (~node4(s73)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5050,plain,
% 7.30/5.11 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s73) | (~node4(s73)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5051,plain,
% 7.30/5.11 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s73) | (~node4(s73))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5050, 5049])).
% 7.30/5.11 tff(5052,plain,
% 7.30/5.11 (always3(s73)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5051, 16, 5044])).
% 7.30/5.11 tff(5053,plain,
% 7.30/5.11 (succ(s73, s74) <=> succ(s73, s74)),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5054,axiom,(succ(s73, s74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound74')).
% 7.30/5.11 tff(5055,plain,
% 7.30/5.11 (succ(s73, s74)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5054, 5053])).
% 7.30/5.11 tff(5056,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5057,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5058,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 7.30/5.11 tff(5059,plain,
% 7.30/5.11 (trans(s73, s74)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5058, 5055, 39])).
% 7.30/5.11 tff(5060,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5061,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s73, s74)) | (~always3(s73)) | always3(s74))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5062,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s73, s74)) | (~always3(s73)) | always3(s74)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 7.30/5.11 tff(5063,plain,
% 7.30/5.11 ((~always3(s73)) | always3(s74)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5062, 112, 5059])).
% 7.30/5.11 tff(5064,plain,
% 7.30/5.11 (always3(s74)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5063, 5052])).
% 7.30/5.11 tff(5065,plain,
% 7.30/5.11 (((~![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)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5066,plain,
% 7.30/5.11 (((~m_main_v_state(s74, c_busy)) | (~always3(s74))) <=> ((~always3(s74)) | (~m_main_v_state(s74, c_busy)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5067,plain,
% 7.30/5.11 (((~![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))))),
% 7.30/5.11 inference(monotonicity,[status(thm)],[5066])).
% 7.30/5.11 tff(5068,plain,
% 7.30/5.11 (((~![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)))),
% 7.30/5.11 inference(transitivity,[status(thm)],[5067, 5065])).
% 7.30/5.11 tff(5069,plain,
% 7.30/5.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s74, c_busy)) | (~always3(s74)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5070,plain,
% 7.30/5.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s74)) | (~m_main_v_state(s74, c_busy))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5069, 5068])).
% 7.30/5.11 tff(5071,plain,
% 7.30/5.11 (~m_main_v_state(s74, c_busy)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5070, 72, 5064])).
% 7.30/5.11 tff(5072,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5073,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s73, s74)) | node2(s73, s74))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5074,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s73, s74)) | node2(s73, s74)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5073, 5072])).
% 7.30/5.11 tff(5075,plain,
% 7.30/5.11 (node2(s73, s74)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5074, 7, 5059])).
% 7.30/5.11 tff(5076,plain,
% 7.30/5.11 (((~![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(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)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5077,plain,
% 7.30/5.11 ((~![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(s73, c_ready)) | (~node2(s73, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5078,plain,
% 7.30/5.11 ((~![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(s73, c_ready)) | (~node2(s73, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5077, 5076])).
% 7.30/5.11 tff(5079,plain,
% 7.30/5.11 ((~m_main_v_state(s73, c_ready)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73))),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5078, 60, 5075])).
% 7.30/5.11 tff(5080,plain,
% 7.30/5.11 (~m_main_v_state(s73, c_ready)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5079, 5071, 5048])).
% 7.30/5.11 tff(5081,plain,
% 7.30/5.11 (~m_main_v_state(s73, c_busy)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5014, 72, 5052])).
% 7.30/5.11 tff(5082,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5083,plain,
% 7.30/5.11 ((~![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))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5084,plain,
% 7.30/5.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s73, c_busy) | m_main_v_state(s73, c_ready)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5083, 5082])).
% 7.30/5.11 tff(5085,plain,
% 7.30/5.11 ($false),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5084, 89, 5081, 5080])).
% 7.30/5.11 tff(5086,plain,(~node4(s73)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.11 tff(5087,plain,
% 7.30/5.11 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s73) | node4(s73) | (~until5(s73)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s73) | node4(s73) | (~until5(s73)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5088,plain,
% 7.30/5.11 ((node4(s73) | (~until5(s73)) | xuntil6(s73)) <=> (xuntil6(s73) | node4(s73) | (~until5(s73)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5089,plain,
% 7.30/5.11 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s73) | (~until5(s73)) | xuntil6(s73))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s73) | node4(s73) | (~until5(s73))))),
% 7.30/5.11 inference(monotonicity,[status(thm)],[5088])).
% 7.30/5.11 tff(5090,plain,
% 7.30/5.11 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s73) | (~until5(s73)) | xuntil6(s73))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s73) | node4(s73) | (~until5(s73)))),
% 7.30/5.11 inference(transitivity,[status(thm)],[5089, 5087])).
% 7.30/5.11 tff(5091,plain,
% 7.30/5.11 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s73) | (~until5(s73)) | xuntil6(s73))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5092,plain,
% 7.30/5.11 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s73) | node4(s73) | (~until5(s73))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5091, 5090])).
% 7.30/5.11 tff(5093,plain,
% 7.30/5.11 (xuntil6(s73) | (~until5(s73))),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5092, 352, 5086])).
% 7.30/5.11 tff(5094,plain,
% 7.30/5.11 (xuntil6(s73)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5093, 5043])).
% 7.30/5.11 tff(5095,plain,
% 7.30/5.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5096,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5097,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 7.30/5.11 tff(5098,plain,
% 7.30/5.11 ((~xuntil6(s73)) | until5(s74)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5097, 5055, 370])).
% 7.30/5.11 tff(5099,plain,
% 7.30/5.11 (until5(s74)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5098, 5094])).
% 7.30/5.11 tff(5100,assumption,(node4(s74)), introduced(assumption)).
% 7.30/5.11 tff(5101,plain,
% 7.30/5.11 (((~![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)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5102,plain,
% 7.30/5.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s74) | (~node4(s74)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5103,plain,
% 7.30/5.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s74) | (~node4(s74))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5102, 5101])).
% 7.30/5.11 tff(5104,plain,
% 7.30/5.11 (m_main_v_request(s74)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5103, 28, 5100])).
% 7.30/5.11 tff(5105,plain,
% 7.30/5.11 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s74) | (~node4(s74)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s74) | (~node4(s74)))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5106,plain,
% 7.30/5.11 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s74) | (~node4(s74)))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5107,plain,
% 7.30/5.11 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s74) | (~node4(s74))),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5106, 5105])).
% 7.30/5.11 tff(5108,plain,
% 7.30/5.11 (always3(s74)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5107, 16, 5100])).
% 7.30/5.11 tff(5109,plain,
% 7.30/5.11 (succ(s74, s75) <=> succ(s74, s75)),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5110,axiom,(succ(s74, s75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound75')).
% 7.30/5.11 tff(5111,plain,
% 7.30/5.11 (succ(s74, s75)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5110, 5109])).
% 7.30/5.11 tff(5112,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5113,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5114,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5113, 5112])).
% 7.30/5.11 tff(5115,plain,
% 7.30/5.11 (trans(s74, s75)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5114, 5111, 39])).
% 7.30/5.11 tff(5116,plain,
% 7.30/5.11 (((~![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))),
% 7.30/5.11 inference(rewrite,[status(thm)],[])).
% 7.30/5.11 tff(5117,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s74, s75)) | (~always3(s74)) | always3(s75))),
% 7.30/5.11 inference(quant_inst,[status(thm)],[])).
% 7.30/5.11 tff(5118,plain,
% 7.30/5.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s74, s75)) | (~always3(s74)) | always3(s75)),
% 7.30/5.11 inference(modus_ponens,[status(thm)],[5117, 5116])).
% 7.30/5.11 tff(5119,plain,
% 7.30/5.11 ((~always3(s74)) | always3(s75)),
% 7.30/5.11 inference(unit_resolution,[status(thm)],[5118, 112, 5115])).
% 7.30/5.12 tff(5120,plain,
% 7.30/5.12 (always3(s75)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5119, 5108])).
% 7.30/5.12 tff(5121,plain,
% 7.30/5.12 (((~![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)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5122,plain,
% 7.30/5.12 (((~m_main_v_state(s75, c_busy)) | (~always3(s75))) <=> ((~always3(s75)) | (~m_main_v_state(s75, c_busy)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5123,plain,
% 7.30/5.12 (((~![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))))),
% 7.30/5.12 inference(monotonicity,[status(thm)],[5122])).
% 7.30/5.12 tff(5124,plain,
% 7.30/5.12 (((~![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)))),
% 7.30/5.12 inference(transitivity,[status(thm)],[5123, 5121])).
% 7.30/5.12 tff(5125,plain,
% 7.30/5.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s75, c_busy)) | (~always3(s75)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5126,plain,
% 7.30/5.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s75)) | (~m_main_v_state(s75, c_busy))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5125, 5124])).
% 7.30/5.12 tff(5127,plain,
% 7.30/5.12 (~m_main_v_state(s75, c_busy)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5126, 72, 5120])).
% 7.30/5.12 tff(5128,plain,
% 7.30/5.12 (((~![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))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5129,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s74, s75)) | node2(s74, s75))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5130,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s74, s75)) | node2(s74, s75)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5129, 5128])).
% 7.30/5.12 tff(5131,plain,
% 7.30/5.12 (node2(s74, s75)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5130, 7, 5115])).
% 7.30/5.12 tff(5132,plain,
% 7.30/5.12 (((~![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(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)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5133,plain,
% 7.30/5.12 ((~![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(s74, c_ready)) | (~node2(s74, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5134,plain,
% 7.30/5.12 ((~![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(s74, c_ready)) | (~node2(s74, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5133, 5132])).
% 7.30/5.12 tff(5135,plain,
% 7.30/5.12 ((~m_main_v_state(s74, c_ready)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74))),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5134, 60, 5131])).
% 7.30/5.12 tff(5136,plain,
% 7.30/5.12 (~m_main_v_state(s74, c_ready)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5135, 5127, 5104])).
% 7.30/5.12 tff(5137,plain,
% 7.30/5.12 (~m_main_v_state(s74, c_busy)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5070, 72, 5108])).
% 7.30/5.12 tff(5138,plain,
% 7.30/5.12 (((~![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))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5139,plain,
% 7.30/5.12 ((~![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))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5140,plain,
% 7.30/5.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s74, c_busy) | m_main_v_state(s74, c_ready)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5139, 5138])).
% 7.30/5.12 tff(5141,plain,
% 7.30/5.12 ($false),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5140, 89, 5137, 5136])).
% 7.30/5.12 tff(5142,plain,(~node4(s74)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.12 tff(5143,plain,
% 7.30/5.12 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s74) | node4(s74) | (~until5(s74)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s74) | node4(s74) | (~until5(s74)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5144,plain,
% 7.30/5.12 ((node4(s74) | (~until5(s74)) | xuntil6(s74)) <=> (xuntil6(s74) | node4(s74) | (~until5(s74)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5145,plain,
% 7.30/5.12 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s74) | (~until5(s74)) | xuntil6(s74))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s74) | node4(s74) | (~until5(s74))))),
% 7.30/5.12 inference(monotonicity,[status(thm)],[5144])).
% 7.30/5.12 tff(5146,plain,
% 7.30/5.12 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s74) | (~until5(s74)) | xuntil6(s74))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s74) | node4(s74) | (~until5(s74)))),
% 7.30/5.12 inference(transitivity,[status(thm)],[5145, 5143])).
% 7.30/5.12 tff(5147,plain,
% 7.30/5.12 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s74) | (~until5(s74)) | xuntil6(s74))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5148,plain,
% 7.30/5.12 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s74) | node4(s74) | (~until5(s74))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5147, 5146])).
% 7.30/5.12 tff(5149,plain,
% 7.30/5.12 (xuntil6(s74) | (~until5(s74))),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5148, 352, 5142])).
% 7.30/5.12 tff(5150,plain,
% 7.30/5.12 (xuntil6(s74)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5149, 5099])).
% 7.30/5.12 tff(5151,plain,
% 7.30/5.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5152,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5153,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5152, 5151])).
% 7.30/5.12 tff(5154,plain,
% 7.30/5.12 ((~xuntil6(s74)) | until5(s75)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5153, 5111, 370])).
% 7.30/5.12 tff(5155,plain,
% 7.30/5.12 (until5(s75)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5154, 5150])).
% 7.30/5.12 tff(5156,assumption,(node4(s75)), introduced(assumption)).
% 7.30/5.12 tff(5157,plain,
% 7.30/5.12 (((~![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)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5158,plain,
% 7.30/5.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s75) | (~node4(s75)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5159,plain,
% 7.30/5.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s75) | (~node4(s75))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5158, 5157])).
% 7.30/5.12 tff(5160,plain,
% 7.30/5.12 (m_main_v_request(s75)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5159, 28, 5156])).
% 7.30/5.12 tff(5161,plain,
% 7.30/5.12 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s75) | (~node4(s75)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s75) | (~node4(s75)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5162,plain,
% 7.30/5.12 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s75) | (~node4(s75)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5163,plain,
% 7.30/5.12 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s75) | (~node4(s75))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5162, 5161])).
% 7.30/5.12 tff(5164,plain,
% 7.30/5.12 (always3(s75)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5163, 16, 5156])).
% 7.30/5.12 tff(5165,plain,
% 7.30/5.12 (succ(s75, s76) <=> succ(s75, s76)),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5166,axiom,(succ(s75, s76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound76')).
% 7.30/5.12 tff(5167,plain,
% 7.30/5.12 (succ(s75, s76)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5166, 5165])).
% 7.30/5.12 tff(5168,plain,
% 7.30/5.12 (((~![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))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5169,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5170,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5169, 5168])).
% 7.30/5.12 tff(5171,plain,
% 7.30/5.12 (trans(s75, s76)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5170, 5167, 39])).
% 7.30/5.12 tff(5172,plain,
% 7.30/5.12 (((~![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))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5173,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s75, s76)) | (~always3(s75)) | always3(s76))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5174,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s75, s76)) | (~always3(s75)) | always3(s76)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 7.30/5.12 tff(5175,plain,
% 7.30/5.12 ((~always3(s75)) | always3(s76)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5174, 112, 5171])).
% 7.30/5.12 tff(5176,plain,
% 7.30/5.12 (always3(s76)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5175, 5164])).
% 7.30/5.12 tff(5177,plain,
% 7.30/5.12 (((~![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)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5178,plain,
% 7.30/5.12 (((~m_main_v_state(s76, c_busy)) | (~always3(s76))) <=> ((~always3(s76)) | (~m_main_v_state(s76, c_busy)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5179,plain,
% 7.30/5.12 (((~![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))))),
% 7.30/5.12 inference(monotonicity,[status(thm)],[5178])).
% 7.30/5.12 tff(5180,plain,
% 7.30/5.12 (((~![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)))),
% 7.30/5.12 inference(transitivity,[status(thm)],[5179, 5177])).
% 7.30/5.12 tff(5181,plain,
% 7.30/5.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s76, c_busy)) | (~always3(s76)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5182,plain,
% 7.30/5.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s76)) | (~m_main_v_state(s76, c_busy))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5181, 5180])).
% 7.30/5.12 tff(5183,plain,
% 7.30/5.12 (~m_main_v_state(s76, c_busy)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5182, 72, 5176])).
% 7.30/5.12 tff(5184,plain,
% 7.30/5.12 (((~![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))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5185,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s75, s76)) | node2(s75, s76))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5186,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s75, s76)) | node2(s75, s76)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5185, 5184])).
% 7.30/5.12 tff(5187,plain,
% 7.30/5.12 (node2(s75, s76)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5186, 7, 5171])).
% 7.30/5.12 tff(5188,plain,
% 7.30/5.12 (((~![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(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)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5189,plain,
% 7.30/5.12 ((~![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(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5190,plain,
% 7.30/5.12 ((~![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(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5189, 5188])).
% 7.30/5.12 tff(5191,plain,
% 7.30/5.12 ((~m_main_v_state(s75, c_ready)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75))),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5190, 60, 5187])).
% 7.30/5.12 tff(5192,plain,
% 7.30/5.12 (~m_main_v_state(s75, c_ready)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5191, 5183, 5160])).
% 7.30/5.12 tff(5193,plain,
% 7.30/5.12 (~m_main_v_state(s75, c_busy)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5126, 72, 5164])).
% 7.30/5.12 tff(5194,plain,
% 7.30/5.12 (((~![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))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5195,plain,
% 7.30/5.12 ((~![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))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5196,plain,
% 7.30/5.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s75, c_busy) | m_main_v_state(s75, c_ready)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5195, 5194])).
% 7.30/5.12 tff(5197,plain,
% 7.30/5.12 ($false),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5196, 89, 5193, 5192])).
% 7.30/5.12 tff(5198,plain,(~node4(s75)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.12 tff(5199,plain,
% 7.30/5.12 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s75) | node4(s75) | (~until5(s75)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s75) | node4(s75) | (~until5(s75)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5200,plain,
% 7.30/5.12 ((node4(s75) | (~until5(s75)) | xuntil6(s75)) <=> (xuntil6(s75) | node4(s75) | (~until5(s75)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5201,plain,
% 7.30/5.12 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s75) | (~until5(s75)) | xuntil6(s75))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s75) | node4(s75) | (~until5(s75))))),
% 7.30/5.12 inference(monotonicity,[status(thm)],[5200])).
% 7.30/5.12 tff(5202,plain,
% 7.30/5.12 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s75) | (~until5(s75)) | xuntil6(s75))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s75) | node4(s75) | (~until5(s75)))),
% 7.30/5.12 inference(transitivity,[status(thm)],[5201, 5199])).
% 7.30/5.12 tff(5203,plain,
% 7.30/5.12 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s75) | (~until5(s75)) | xuntil6(s75))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5204,plain,
% 7.30/5.12 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s75) | node4(s75) | (~until5(s75))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5203, 5202])).
% 7.30/5.12 tff(5205,plain,
% 7.30/5.12 (xuntil6(s75) | (~until5(s75))),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5204, 352, 5198])).
% 7.30/5.12 tff(5206,plain,
% 7.30/5.12 (xuntil6(s75)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5205, 5155])).
% 7.30/5.12 tff(5207,plain,
% 7.30/5.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5208,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5209,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5208, 5207])).
% 7.30/5.12 tff(5210,plain,
% 7.30/5.12 ((~xuntil6(s75)) | until5(s76)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5209, 5167, 370])).
% 7.30/5.12 tff(5211,plain,
% 7.30/5.12 (until5(s76)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5210, 5206])).
% 7.30/5.12 tff(5212,assumption,(node4(s76)), introduced(assumption)).
% 7.30/5.12 tff(5213,plain,
% 7.30/5.12 (((~![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)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5214,plain,
% 7.30/5.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s76) | (~node4(s76)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5215,plain,
% 7.30/5.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s76) | (~node4(s76))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5214, 5213])).
% 7.30/5.12 tff(5216,plain,
% 7.30/5.12 (m_main_v_request(s76)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5215, 28, 5212])).
% 7.30/5.12 tff(5217,plain,
% 7.30/5.12 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s76) | (~node4(s76)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s76) | (~node4(s76)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5218,plain,
% 7.30/5.12 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s76) | (~node4(s76)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5219,plain,
% 7.30/5.12 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s76) | (~node4(s76))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5218, 5217])).
% 7.30/5.12 tff(5220,plain,
% 7.30/5.12 (always3(s76)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5219, 16, 5212])).
% 7.30/5.12 tff(5221,plain,
% 7.30/5.12 (succ(s76, s77) <=> succ(s76, s77)),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5222,axiom,(succ(s76, s77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound77')).
% 7.30/5.12 tff(5223,plain,
% 7.30/5.12 (succ(s76, s77)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5222, 5221])).
% 7.30/5.12 tff(5224,plain,
% 7.30/5.12 (((~![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))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5225,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5226,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5225, 5224])).
% 7.30/5.12 tff(5227,plain,
% 7.30/5.12 (trans(s76, s77)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5226, 5223, 39])).
% 7.30/5.12 tff(5228,plain,
% 7.30/5.12 (((~![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))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5229,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s76, s77)) | (~always3(s76)) | always3(s77))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5230,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s76, s77)) | (~always3(s76)) | always3(s77)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5229, 5228])).
% 7.30/5.12 tff(5231,plain,
% 7.30/5.12 ((~always3(s76)) | always3(s77)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5230, 112, 5227])).
% 7.30/5.12 tff(5232,plain,
% 7.30/5.12 (always3(s77)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5231, 5220])).
% 7.30/5.12 tff(5233,plain,
% 7.30/5.12 (((~![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)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5234,plain,
% 7.30/5.12 (((~m_main_v_state(s77, c_busy)) | (~always3(s77))) <=> ((~always3(s77)) | (~m_main_v_state(s77, c_busy)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5235,plain,
% 7.30/5.12 (((~![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))))),
% 7.30/5.12 inference(monotonicity,[status(thm)],[5234])).
% 7.30/5.12 tff(5236,plain,
% 7.30/5.12 (((~![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)))),
% 7.30/5.12 inference(transitivity,[status(thm)],[5235, 5233])).
% 7.30/5.12 tff(5237,plain,
% 7.30/5.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s77, c_busy)) | (~always3(s77)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5238,plain,
% 7.30/5.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s77)) | (~m_main_v_state(s77, c_busy))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5237, 5236])).
% 7.30/5.12 tff(5239,plain,
% 7.30/5.12 (~m_main_v_state(s77, c_busy)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5238, 72, 5232])).
% 7.30/5.12 tff(5240,plain,
% 7.30/5.12 (((~![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))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5241,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s76, s77)) | node2(s76, s77))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5242,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s76, s77)) | node2(s76, s77)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5241, 5240])).
% 7.30/5.12 tff(5243,plain,
% 7.30/5.12 (node2(s76, s77)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5242, 7, 5227])).
% 7.30/5.12 tff(5244,plain,
% 7.30/5.12 (((~![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(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)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5245,plain,
% 7.30/5.12 ((~![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(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5246,plain,
% 7.30/5.12 ((~![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(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5245, 5244])).
% 7.30/5.12 tff(5247,plain,
% 7.30/5.12 ((~m_main_v_state(s76, c_ready)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76))),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5246, 60, 5243])).
% 7.30/5.12 tff(5248,plain,
% 7.30/5.12 (~m_main_v_state(s76, c_ready)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5247, 5239, 5216])).
% 7.30/5.12 tff(5249,plain,
% 7.30/5.12 (~m_main_v_state(s76, c_busy)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5182, 72, 5220])).
% 7.30/5.12 tff(5250,plain,
% 7.30/5.12 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5251,plain,
% 7.30/5.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5252,plain,
% 7.30/5.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5251, 5250])).
% 7.30/5.12 tff(5253,plain,
% 7.30/5.12 ($false),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5252, 89, 5249, 5248])).
% 7.30/5.12 tff(5254,plain,(~node4(s76)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.12 tff(5255,plain,
% 7.30/5.12 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s76) | node4(s76) | (~until5(s76)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s76) | node4(s76) | (~until5(s76)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5256,plain,
% 7.30/5.12 ((node4(s76) | (~until5(s76)) | xuntil6(s76)) <=> (xuntil6(s76) | node4(s76) | (~until5(s76)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5257,plain,
% 7.30/5.12 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s76) | (~until5(s76)) | xuntil6(s76))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s76) | node4(s76) | (~until5(s76))))),
% 7.30/5.12 inference(monotonicity,[status(thm)],[5256])).
% 7.30/5.12 tff(5258,plain,
% 7.30/5.12 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s76) | (~until5(s76)) | xuntil6(s76))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s76) | node4(s76) | (~until5(s76)))),
% 7.30/5.12 inference(transitivity,[status(thm)],[5257, 5255])).
% 7.30/5.12 tff(5259,plain,
% 7.30/5.12 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s76) | (~until5(s76)) | xuntil6(s76))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5260,plain,
% 7.30/5.12 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s76) | node4(s76) | (~until5(s76))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5259, 5258])).
% 7.30/5.12 tff(5261,plain,
% 7.30/5.12 (xuntil6(s76) | (~until5(s76))),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5260, 352, 5254])).
% 7.30/5.12 tff(5262,plain,
% 7.30/5.12 (xuntil6(s76)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5261, 5211])).
% 7.30/5.12 tff(5263,plain,
% 7.30/5.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5264,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5265,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5264, 5263])).
% 7.30/5.12 tff(5266,plain,
% 7.30/5.12 ((~xuntil6(s76)) | until5(s77)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5265, 5223, 370])).
% 7.30/5.12 tff(5267,plain,
% 7.30/5.12 (until5(s77)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5266, 5262])).
% 7.30/5.12 tff(5268,assumption,(node4(s77)), introduced(assumption)).
% 7.30/5.12 tff(5269,plain,
% 7.30/5.12 (((~![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)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5270,plain,
% 7.30/5.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s77) | (~node4(s77)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5271,plain,
% 7.30/5.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s77) | (~node4(s77))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5270, 5269])).
% 7.30/5.12 tff(5272,plain,
% 7.30/5.12 (m_main_v_request(s77)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5271, 28, 5268])).
% 7.30/5.12 tff(5273,plain,
% 7.30/5.12 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s77) | (~node4(s77)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s77) | (~node4(s77)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5274,plain,
% 7.30/5.12 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s77) | (~node4(s77)))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5275,plain,
% 7.30/5.12 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s77) | (~node4(s77))),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5274, 5273])).
% 7.30/5.12 tff(5276,plain,
% 7.30/5.12 (always3(s77)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5275, 16, 5268])).
% 7.30/5.12 tff(5277,plain,
% 7.30/5.12 (succ(s77, s78) <=> succ(s77, s78)),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5278,axiom,(succ(s77, s78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound78')).
% 7.30/5.12 tff(5279,plain,
% 7.30/5.12 (succ(s77, s78)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5278, 5277])).
% 7.30/5.12 tff(5280,plain,
% 7.30/5.12 (((~![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))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5281,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5282,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5281, 5280])).
% 7.30/5.12 tff(5283,plain,
% 7.30/5.12 (trans(s77, s78)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5282, 5279, 39])).
% 7.30/5.12 tff(5284,plain,
% 7.30/5.12 (((~![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))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5285,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s77, s78)) | (~always3(s77)) | always3(s78))),
% 7.30/5.12 inference(quant_inst,[status(thm)],[])).
% 7.30/5.12 tff(5286,plain,
% 7.30/5.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s77, s78)) | (~always3(s77)) | always3(s78)),
% 7.30/5.12 inference(modus_ponens,[status(thm)],[5285, 5284])).
% 7.30/5.12 tff(5287,plain,
% 7.30/5.12 ((~always3(s77)) | always3(s78)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5286, 112, 5283])).
% 7.30/5.12 tff(5288,plain,
% 7.30/5.12 (always3(s78)),
% 7.30/5.12 inference(unit_resolution,[status(thm)],[5287, 5276])).
% 7.30/5.12 tff(5289,plain,
% 7.30/5.12 (((~![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)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5290,plain,
% 7.30/5.12 (((~m_main_v_state(s78, c_busy)) | (~always3(s78))) <=> ((~always3(s78)) | (~m_main_v_state(s78, c_busy)))),
% 7.30/5.12 inference(rewrite,[status(thm)],[])).
% 7.30/5.12 tff(5291,plain,
% 7.30/5.12 (((~![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))))),
% 7.30/5.12 inference(monotonicity,[status(thm)],[5290])).
% 7.30/5.12 tff(5292,plain,
% 7.30/5.12 (((~![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)))),
% 7.30/5.12 inference(transitivity,[status(thm)],[5291, 5289])).
% 7.30/5.13 tff(5293,plain,
% 7.30/5.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s78, c_busy)) | (~always3(s78)))),
% 7.30/5.13 inference(quant_inst,[status(thm)],[])).
% 7.30/5.13 tff(5294,plain,
% 7.30/5.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s78)) | (~m_main_v_state(s78, c_busy))),
% 7.30/5.13 inference(modus_ponens,[status(thm)],[5293, 5292])).
% 7.30/5.13 tff(5295,plain,
% 7.30/5.13 (~m_main_v_state(s78, c_busy)),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5294, 72, 5288])).
% 7.30/5.13 tff(5296,plain,
% 7.30/5.13 (((~![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))),
% 7.30/5.13 inference(rewrite,[status(thm)],[])).
% 7.30/5.13 tff(5297,plain,
% 7.30/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s77, s78)) | node2(s77, s78))),
% 7.30/5.13 inference(quant_inst,[status(thm)],[])).
% 7.30/5.13 tff(5298,plain,
% 7.30/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s77, s78)) | node2(s77, s78)),
% 7.30/5.13 inference(modus_ponens,[status(thm)],[5297, 5296])).
% 7.30/5.13 tff(5299,plain,
% 7.30/5.13 (node2(s77, s78)),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5298, 7, 5283])).
% 7.30/5.13 tff(5300,plain,
% 7.30/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.30/5.13 inference(rewrite,[status(thm)],[])).
% 7.30/5.13 tff(5301,plain,
% 7.30/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77)))),
% 7.30/5.13 inference(quant_inst,[status(thm)],[])).
% 7.30/5.13 tff(5302,plain,
% 7.30/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77))),
% 7.30/5.13 inference(modus_ponens,[status(thm)],[5301, 5300])).
% 7.30/5.13 tff(5303,plain,
% 7.30/5.13 ((~m_main_v_state(s77, c_ready)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77))),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5302, 60, 5299])).
% 7.30/5.13 tff(5304,plain,
% 7.30/5.13 (~m_main_v_state(s77, c_ready)),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5303, 5295, 5272])).
% 7.30/5.13 tff(5305,plain,
% 7.30/5.13 (~m_main_v_state(s77, c_busy)),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5238, 72, 5276])).
% 7.30/5.13 tff(5306,plain,
% 7.30/5.13 (((~![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))),
% 7.30/5.13 inference(rewrite,[status(thm)],[])).
% 7.30/5.13 tff(5307,plain,
% 7.30/5.13 ((~![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))),
% 7.30/5.13 inference(quant_inst,[status(thm)],[])).
% 7.30/5.13 tff(5308,plain,
% 7.30/5.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready)),
% 7.30/5.13 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 7.30/5.13 tff(5309,plain,
% 7.30/5.13 ($false),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5308, 89, 5305, 5304])).
% 7.30/5.13 tff(5310,plain,(~node4(s77)), inference(lemma,lemma(discharge,[]))).
% 7.30/5.13 tff(5311,plain,
% 7.30/5.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s77) | node4(s77) | (~until5(s77)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s77) | node4(s77) | (~until5(s77)))),
% 7.30/5.13 inference(rewrite,[status(thm)],[])).
% 7.30/5.13 tff(5312,plain,
% 7.30/5.13 ((node4(s77) | (~until5(s77)) | xuntil6(s77)) <=> (xuntil6(s77) | node4(s77) | (~until5(s77)))),
% 7.30/5.13 inference(rewrite,[status(thm)],[])).
% 7.30/5.13 tff(5313,plain,
% 7.30/5.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s77) | (~until5(s77)) | xuntil6(s77))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s77) | node4(s77) | (~until5(s77))))),
% 7.30/5.13 inference(monotonicity,[status(thm)],[5312])).
% 7.30/5.13 tff(5314,plain,
% 7.30/5.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s77) | (~until5(s77)) | xuntil6(s77))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s77) | node4(s77) | (~until5(s77)))),
% 7.30/5.13 inference(transitivity,[status(thm)],[5313, 5311])).
% 7.30/5.13 tff(5315,plain,
% 7.30/5.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s77) | (~until5(s77)) | xuntil6(s77))),
% 7.30/5.13 inference(quant_inst,[status(thm)],[])).
% 7.30/5.13 tff(5316,plain,
% 7.30/5.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s77) | node4(s77) | (~until5(s77))),
% 7.30/5.13 inference(modus_ponens,[status(thm)],[5315, 5314])).
% 7.30/5.13 tff(5317,plain,
% 7.30/5.13 (xuntil6(s77) | (~until5(s77))),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5316, 352, 5310])).
% 7.30/5.13 tff(5318,plain,
% 7.30/5.13 (xuntil6(s77)),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5317, 5267])).
% 7.30/5.13 tff(5319,plain,
% 7.30/5.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78))),
% 7.30/5.13 inference(rewrite,[status(thm)],[])).
% 7.30/5.13 tff(5320,plain,
% 7.30/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78))),
% 7.30/5.13 inference(quant_inst,[status(thm)],[])).
% 7.30/5.13 tff(5321,plain,
% 7.30/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78)),
% 7.30/5.13 inference(modus_ponens,[status(thm)],[5320, 5319])).
% 7.30/5.13 tff(5322,plain,
% 7.30/5.13 ((~xuntil6(s77)) | until5(s78)),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5321, 5279, 370])).
% 7.30/5.13 tff(5323,plain,
% 7.30/5.13 (until5(s78)),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5322, 5318])).
% 7.30/5.13 tff(5324,assumption,(node4(s78)), introduced(assumption)).
% 7.30/5.13 tff(5325,plain,
% 7.30/5.13 (((~![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)))),
% 7.30/5.13 inference(rewrite,[status(thm)],[])).
% 7.30/5.13 tff(5326,plain,
% 7.30/5.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s78) | (~node4(s78)))),
% 7.30/5.13 inference(quant_inst,[status(thm)],[])).
% 7.30/5.13 tff(5327,plain,
% 7.30/5.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s78) | (~node4(s78))),
% 7.30/5.13 inference(modus_ponens,[status(thm)],[5326, 5325])).
% 7.30/5.13 tff(5328,plain,
% 7.30/5.13 (m_main_v_request(s78)),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5327, 28, 5324])).
% 7.30/5.13 tff(5329,plain,
% 7.30/5.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s78) | (~node4(s78)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s78) | (~node4(s78)))),
% 7.30/5.13 inference(rewrite,[status(thm)],[])).
% 7.30/5.13 tff(5330,plain,
% 7.30/5.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s78) | (~node4(s78)))),
% 7.30/5.13 inference(quant_inst,[status(thm)],[])).
% 7.30/5.13 tff(5331,plain,
% 7.30/5.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s78) | (~node4(s78))),
% 7.30/5.13 inference(modus_ponens,[status(thm)],[5330, 5329])).
% 7.30/5.13 tff(5332,plain,
% 7.30/5.13 (always3(s78)),
% 7.30/5.13 inference(unit_resolution,[status(thm)],[5331, 16, 5324])).
% 7.30/5.13 tff(5333,plain,
% 7.30/5.13 (succ(s78, s79) <=> succ(s78, s79)),
% 7.30/5.13 inference(rewrite,[status(thm)],[])).
% 7.30/5.13 tff(5334,axiom,(succ(s78, s79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound79')).
% 7.30/5.13 tff(5335,plain,
% 7.30/5.13 (succ(s78, s79)),
% 7.30/5.13 inference(modus_ponens,[status(thm)],[5334, 5333])).
% 7.30/5.13 tff(5336,plain,
% 7.30/5.13 (((~![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))),
% 7.30/5.13 inference(rewrite,[status(thm)],[])).
% 7.30/5.13 tff(5337,plain,
% 7.30/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 7.30/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5338,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5337, 5336])).
% 7.35/5.13 tff(5339,plain,
% 7.35/5.13 (trans(s78, s79)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5338, 5335, 39])).
% 7.35/5.13 tff(5340,plain,
% 7.35/5.13 (((~![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))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5341,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s78, s79)) | (~always3(s78)) | always3(s79))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5342,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s78, s79)) | (~always3(s78)) | always3(s79)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5341, 5340])).
% 7.35/5.13 tff(5343,plain,
% 7.35/5.13 ((~always3(s78)) | always3(s79)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5342, 112, 5339])).
% 7.35/5.13 tff(5344,plain,
% 7.35/5.13 (always3(s79)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5343, 5332])).
% 7.35/5.13 tff(5345,plain,
% 7.35/5.13 (((~![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)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5346,plain,
% 7.35/5.13 (((~m_main_v_state(s79, c_busy)) | (~always3(s79))) <=> ((~always3(s79)) | (~m_main_v_state(s79, c_busy)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5347,plain,
% 7.35/5.13 (((~![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))))),
% 7.35/5.13 inference(monotonicity,[status(thm)],[5346])).
% 7.35/5.13 tff(5348,plain,
% 7.35/5.13 (((~![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)))),
% 7.35/5.13 inference(transitivity,[status(thm)],[5347, 5345])).
% 7.35/5.13 tff(5349,plain,
% 7.35/5.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s79, c_busy)) | (~always3(s79)))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5350,plain,
% 7.35/5.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s79)) | (~m_main_v_state(s79, c_busy))),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5349, 5348])).
% 7.35/5.13 tff(5351,plain,
% 7.35/5.13 (~m_main_v_state(s79, c_busy)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5350, 72, 5344])).
% 7.35/5.13 tff(5352,plain,
% 7.35/5.13 (((~![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))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5353,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s78, s79)) | node2(s78, s79))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5354,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s78, s79)) | node2(s78, s79)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5353, 5352])).
% 7.35/5.13 tff(5355,plain,
% 7.35/5.13 (node2(s78, s79)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5354, 7, 5339])).
% 7.35/5.13 tff(5356,plain,
% 7.35/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5357,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78)))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5358,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78))),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 7.35/5.13 tff(5359,plain,
% 7.35/5.13 ((~m_main_v_state(s78, c_ready)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78))),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5358, 60, 5355])).
% 7.35/5.13 tff(5360,plain,
% 7.35/5.13 (~m_main_v_state(s78, c_ready)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5359, 5351, 5328])).
% 7.35/5.13 tff(5361,plain,
% 7.35/5.13 (~m_main_v_state(s78, c_busy)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5294, 72, 5332])).
% 7.35/5.13 tff(5362,plain,
% 7.35/5.13 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5363,plain,
% 7.35/5.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5364,plain,
% 7.35/5.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5363, 5362])).
% 7.35/5.13 tff(5365,plain,
% 7.35/5.13 ($false),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5364, 89, 5361, 5360])).
% 7.35/5.13 tff(5366,plain,(~node4(s78)), inference(lemma,lemma(discharge,[]))).
% 7.35/5.13 tff(5367,plain,
% 7.35/5.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s78) | node4(s78) | (~until5(s78)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s78) | node4(s78) | (~until5(s78)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5368,plain,
% 7.35/5.13 ((node4(s78) | (~until5(s78)) | xuntil6(s78)) <=> (xuntil6(s78) | node4(s78) | (~until5(s78)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5369,plain,
% 7.35/5.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s78) | (~until5(s78)) | xuntil6(s78))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s78) | node4(s78) | (~until5(s78))))),
% 7.35/5.13 inference(monotonicity,[status(thm)],[5368])).
% 7.35/5.13 tff(5370,plain,
% 7.35/5.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s78) | (~until5(s78)) | xuntil6(s78))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s78) | node4(s78) | (~until5(s78)))),
% 7.35/5.13 inference(transitivity,[status(thm)],[5369, 5367])).
% 7.35/5.13 tff(5371,plain,
% 7.35/5.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s78) | (~until5(s78)) | xuntil6(s78))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5372,plain,
% 7.35/5.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s78) | node4(s78) | (~until5(s78))),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 7.35/5.13 tff(5373,plain,
% 7.35/5.13 (xuntil6(s78) | (~until5(s78))),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5372, 352, 5366])).
% 7.35/5.13 tff(5374,plain,
% 7.35/5.13 (xuntil6(s78)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5373, 5323])).
% 7.35/5.13 tff(5375,plain,
% 7.35/5.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5376,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5377,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5376, 5375])).
% 7.35/5.13 tff(5378,plain,
% 7.35/5.13 ((~xuntil6(s78)) | until5(s79)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5377, 5335, 370])).
% 7.35/5.13 tff(5379,plain,
% 7.35/5.13 (until5(s79)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5378, 5374])).
% 7.35/5.13 tff(5380,assumption,(node4(s79)), introduced(assumption)).
% 7.35/5.13 tff(5381,plain,
% 7.35/5.13 (((~![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)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5382,plain,
% 7.35/5.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s79) | (~node4(s79)))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5383,plain,
% 7.35/5.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s79) | (~node4(s79))),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 7.35/5.13 tff(5384,plain,
% 7.35/5.13 (m_main_v_request(s79)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5383, 28, 5380])).
% 7.35/5.13 tff(5385,plain,
% 7.35/5.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s79) | (~node4(s79)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s79) | (~node4(s79)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5386,plain,
% 7.35/5.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s79) | (~node4(s79)))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5387,plain,
% 7.35/5.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s79) | (~node4(s79))),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 7.35/5.13 tff(5388,plain,
% 7.35/5.13 (always3(s79)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5387, 16, 5380])).
% 7.35/5.13 tff(5389,plain,
% 7.35/5.13 (succ(s79, s80) <=> succ(s79, s80)),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5390,axiom,(succ(s79, s80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound80')).
% 7.35/5.13 tff(5391,plain,
% 7.35/5.13 (succ(s79, s80)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 7.35/5.13 tff(5392,plain,
% 7.35/5.13 (((~![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))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5393,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5394,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5393, 5392])).
% 7.35/5.13 tff(5395,plain,
% 7.35/5.13 (trans(s79, s80)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5394, 5391, 39])).
% 7.35/5.13 tff(5396,plain,
% 7.35/5.13 (((~![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))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5397,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s79, s80)) | (~always3(s79)) | always3(s80))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5398,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s79, s80)) | (~always3(s79)) | always3(s80)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5397, 5396])).
% 7.35/5.13 tff(5399,plain,
% 7.35/5.13 ((~always3(s79)) | always3(s80)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5398, 112, 5395])).
% 7.35/5.13 tff(5400,plain,
% 7.35/5.13 (always3(s80)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5399, 5388])).
% 7.35/5.13 tff(5401,plain,
% 7.35/5.13 (((~![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)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5402,plain,
% 7.35/5.13 (((~m_main_v_state(s80, c_busy)) | (~always3(s80))) <=> ((~always3(s80)) | (~m_main_v_state(s80, c_busy)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5403,plain,
% 7.35/5.13 (((~![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))))),
% 7.35/5.13 inference(monotonicity,[status(thm)],[5402])).
% 7.35/5.13 tff(5404,plain,
% 7.35/5.13 (((~![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)))),
% 7.35/5.13 inference(transitivity,[status(thm)],[5403, 5401])).
% 7.35/5.13 tff(5405,plain,
% 7.35/5.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s80, c_busy)) | (~always3(s80)))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5406,plain,
% 7.35/5.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s80)) | (~m_main_v_state(s80, c_busy))),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5405, 5404])).
% 7.35/5.13 tff(5407,plain,
% 7.35/5.13 (~m_main_v_state(s80, c_busy)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5406, 72, 5400])).
% 7.35/5.13 tff(5408,plain,
% 7.35/5.13 (((~![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))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5409,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s79, s80)) | node2(s79, s80))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5410,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s79, s80)) | node2(s79, s80)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5409, 5408])).
% 7.35/5.13 tff(5411,plain,
% 7.35/5.13 (node2(s79, s80)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5410, 7, 5395])).
% 7.35/5.13 tff(5412,plain,
% 7.35/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5413,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79)))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5414,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79))),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 7.35/5.13 tff(5415,plain,
% 7.35/5.13 ((~m_main_v_state(s79, c_ready)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79))),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5414, 60, 5411])).
% 7.35/5.13 tff(5416,plain,
% 7.35/5.13 (~m_main_v_state(s79, c_ready)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5415, 5407, 5384])).
% 7.35/5.13 tff(5417,plain,
% 7.35/5.13 (~m_main_v_state(s79, c_busy)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5350, 72, 5388])).
% 7.35/5.13 tff(5418,plain,
% 7.35/5.13 (((~![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))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5419,plain,
% 7.35/5.13 ((~![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))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5420,plain,
% 7.35/5.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s79, c_busy) | m_main_v_state(s79, c_ready)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5419, 5418])).
% 7.35/5.13 tff(5421,plain,
% 7.35/5.13 ($false),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5420, 89, 5417, 5416])).
% 7.35/5.13 tff(5422,plain,(~node4(s79)), inference(lemma,lemma(discharge,[]))).
% 7.35/5.13 tff(5423,plain,
% 7.35/5.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s79) | node4(s79) | (~until5(s79)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s79) | node4(s79) | (~until5(s79)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5424,plain,
% 7.35/5.13 ((node4(s79) | (~until5(s79)) | xuntil6(s79)) <=> (xuntil6(s79) | node4(s79) | (~until5(s79)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5425,plain,
% 7.35/5.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s79) | (~until5(s79)) | xuntil6(s79))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s79) | node4(s79) | (~until5(s79))))),
% 7.35/5.13 inference(monotonicity,[status(thm)],[5424])).
% 7.35/5.13 tff(5426,plain,
% 7.35/5.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s79) | (~until5(s79)) | xuntil6(s79))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s79) | node4(s79) | (~until5(s79)))),
% 7.35/5.13 inference(transitivity,[status(thm)],[5425, 5423])).
% 7.35/5.13 tff(5427,plain,
% 7.35/5.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s79) | (~until5(s79)) | xuntil6(s79))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5428,plain,
% 7.35/5.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s79) | node4(s79) | (~until5(s79))),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5427, 5426])).
% 7.35/5.13 tff(5429,plain,
% 7.35/5.13 (xuntil6(s79) | (~until5(s79))),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5428, 352, 5422])).
% 7.35/5.13 tff(5430,plain,
% 7.35/5.13 (xuntil6(s79)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5429, 5379])).
% 7.35/5.13 tff(5431,plain,
% 7.35/5.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5432,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5433,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5432, 5431])).
% 7.35/5.13 tff(5434,plain,
% 7.35/5.13 ((~xuntil6(s79)) | until5(s80)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5433, 5391, 370])).
% 7.35/5.13 tff(5435,plain,
% 7.35/5.13 (until5(s80)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5434, 5430])).
% 7.35/5.13 tff(5436,assumption,(node4(s80)), introduced(assumption)).
% 7.35/5.13 tff(5437,plain,
% 7.35/5.13 (((~![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)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5438,plain,
% 7.35/5.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s80) | (~node4(s80)))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5439,plain,
% 7.35/5.13 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s80) | (~node4(s80))),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5438, 5437])).
% 7.35/5.13 tff(5440,plain,
% 7.35/5.13 (m_main_v_request(s80)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5439, 28, 5436])).
% 7.35/5.13 tff(5441,plain,
% 7.35/5.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s80) | (~node4(s80)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s80) | (~node4(s80)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5442,plain,
% 7.35/5.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s80) | (~node4(s80)))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5443,plain,
% 7.35/5.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s80) | (~node4(s80))),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5442, 5441])).
% 7.35/5.13 tff(5444,plain,
% 7.35/5.13 (always3(s80)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5443, 16, 5436])).
% 7.35/5.13 tff(5445,plain,
% 7.35/5.13 (succ(s80, s81) <=> succ(s80, s81)),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5446,axiom,(succ(s80, s81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound81')).
% 7.35/5.13 tff(5447,plain,
% 7.35/5.13 (succ(s80, s81)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5446, 5445])).
% 7.35/5.13 tff(5448,plain,
% 7.35/5.13 (((~![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))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5449,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5450,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5449, 5448])).
% 7.35/5.13 tff(5451,plain,
% 7.35/5.13 (trans(s80, s81)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5450, 5447, 39])).
% 7.35/5.13 tff(5452,plain,
% 7.35/5.13 (((~![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))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5453,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s80, s81)) | (~always3(s80)) | always3(s81))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5454,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s80, s81)) | (~always3(s80)) | always3(s81)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5453, 5452])).
% 7.35/5.13 tff(5455,plain,
% 7.35/5.13 ((~always3(s80)) | always3(s81)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5454, 112, 5451])).
% 7.35/5.13 tff(5456,plain,
% 7.35/5.13 (always3(s81)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5455, 5444])).
% 7.35/5.13 tff(5457,plain,
% 7.35/5.13 (((~![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)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5458,plain,
% 7.35/5.13 (((~m_main_v_state(s81, c_busy)) | (~always3(s81))) <=> ((~always3(s81)) | (~m_main_v_state(s81, c_busy)))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5459,plain,
% 7.35/5.13 (((~![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))))),
% 7.35/5.13 inference(monotonicity,[status(thm)],[5458])).
% 7.35/5.13 tff(5460,plain,
% 7.35/5.13 (((~![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)))),
% 7.35/5.13 inference(transitivity,[status(thm)],[5459, 5457])).
% 7.35/5.13 tff(5461,plain,
% 7.35/5.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s81, c_busy)) | (~always3(s81)))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5462,plain,
% 7.35/5.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s81)) | (~m_main_v_state(s81, c_busy))),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5461, 5460])).
% 7.35/5.13 tff(5463,plain,
% 7.35/5.13 (~m_main_v_state(s81, c_busy)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5462, 72, 5456])).
% 7.35/5.13 tff(5464,plain,
% 7.35/5.13 (((~![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))),
% 7.35/5.13 inference(rewrite,[status(thm)],[])).
% 7.35/5.13 tff(5465,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s80, s81)) | node2(s80, s81))),
% 7.35/5.13 inference(quant_inst,[status(thm)],[])).
% 7.35/5.13 tff(5466,plain,
% 7.35/5.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s80, s81)) | node2(s80, s81)),
% 7.35/5.13 inference(modus_ponens,[status(thm)],[5465, 5464])).
% 7.35/5.13 tff(5467,plain,
% 7.35/5.13 (node2(s80, s81)),
% 7.35/5.13 inference(unit_resolution,[status(thm)],[5466, 7, 5451])).
% 7.35/5.13 tff(5468,plain,
% 7.35/5.13 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5469,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5470,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5469, 5468])).
% 7.35/5.14 tff(5471,plain,
% 7.35/5.14 ((~m_main_v_state(s80, c_ready)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80))),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5470, 60, 5467])).
% 7.35/5.14 tff(5472,plain,
% 7.35/5.14 (~m_main_v_state(s80, c_ready)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5471, 5463, 5440])).
% 7.35/5.14 tff(5473,plain,
% 7.35/5.14 (~m_main_v_state(s80, c_busy)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5406, 72, 5444])).
% 7.35/5.14 tff(5474,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5475,plain,
% 7.35/5.14 ((~![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))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5476,plain,
% 7.35/5.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s80, c_busy) | m_main_v_state(s80, c_ready)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5475, 5474])).
% 7.35/5.14 tff(5477,plain,
% 7.35/5.14 ($false),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5476, 89, 5473, 5472])).
% 7.35/5.14 tff(5478,plain,(~node4(s80)), inference(lemma,lemma(discharge,[]))).
% 7.35/5.14 tff(5479,plain,
% 7.35/5.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s80) | node4(s80) | (~until5(s80)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s80) | node4(s80) | (~until5(s80)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5480,plain,
% 7.35/5.14 ((node4(s80) | (~until5(s80)) | xuntil6(s80)) <=> (xuntil6(s80) | node4(s80) | (~until5(s80)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5481,plain,
% 7.35/5.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s80) | (~until5(s80)) | xuntil6(s80))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s80) | node4(s80) | (~until5(s80))))),
% 7.35/5.14 inference(monotonicity,[status(thm)],[5480])).
% 7.35/5.14 tff(5482,plain,
% 7.35/5.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s80) | (~until5(s80)) | xuntil6(s80))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s80) | node4(s80) | (~until5(s80)))),
% 7.35/5.14 inference(transitivity,[status(thm)],[5481, 5479])).
% 7.35/5.14 tff(5483,plain,
% 7.35/5.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s80) | (~until5(s80)) | xuntil6(s80))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5484,plain,
% 7.35/5.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s80) | node4(s80) | (~until5(s80))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5483, 5482])).
% 7.35/5.14 tff(5485,plain,
% 7.35/5.14 (xuntil6(s80) | (~until5(s80))),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5484, 352, 5478])).
% 7.35/5.14 tff(5486,plain,
% 7.35/5.14 (xuntil6(s80)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5485, 5435])).
% 7.35/5.14 tff(5487,plain,
% 7.35/5.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5488,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5489,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5488, 5487])).
% 7.35/5.14 tff(5490,plain,
% 7.35/5.14 ((~xuntil6(s80)) | until5(s81)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5489, 5447, 370])).
% 7.35/5.14 tff(5491,plain,
% 7.35/5.14 (until5(s81)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5490, 5486])).
% 7.35/5.14 tff(5492,assumption,(node4(s81)), introduced(assumption)).
% 7.35/5.14 tff(5493,plain,
% 7.35/5.14 (((~![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)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5494,plain,
% 7.35/5.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s81) | (~node4(s81)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5495,plain,
% 7.35/5.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s81) | (~node4(s81))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 7.35/5.14 tff(5496,plain,
% 7.35/5.14 (m_main_v_request(s81)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5495, 28, 5492])).
% 7.35/5.14 tff(5497,plain,
% 7.35/5.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s81) | (~node4(s81)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s81) | (~node4(s81)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5498,plain,
% 7.35/5.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s81) | (~node4(s81)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5499,plain,
% 7.35/5.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s81) | (~node4(s81))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 7.35/5.14 tff(5500,plain,
% 7.35/5.14 (always3(s81)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5499, 16, 5492])).
% 7.35/5.14 tff(5501,plain,
% 7.35/5.14 (succ(s81, s82) <=> succ(s81, s82)),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5502,axiom,(succ(s81, s82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound82')).
% 7.35/5.14 tff(5503,plain,
% 7.35/5.14 (succ(s81, s82)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5502, 5501])).
% 7.35/5.14 tff(5504,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5505,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5506,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5505, 5504])).
% 7.35/5.14 tff(5507,plain,
% 7.35/5.14 (trans(s81, s82)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5506, 5503, 39])).
% 7.35/5.14 tff(5508,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5509,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s81, s82)) | (~always3(s81)) | always3(s82))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5510,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s81, s82)) | (~always3(s81)) | always3(s82)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5509, 5508])).
% 7.35/5.14 tff(5511,plain,
% 7.35/5.14 ((~always3(s81)) | always3(s82)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5510, 112, 5507])).
% 7.35/5.14 tff(5512,plain,
% 7.35/5.14 (always3(s82)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5511, 5500])).
% 7.35/5.14 tff(5513,plain,
% 7.35/5.14 (((~![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)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5514,plain,
% 7.35/5.14 (((~m_main_v_state(s82, c_busy)) | (~always3(s82))) <=> ((~always3(s82)) | (~m_main_v_state(s82, c_busy)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5515,plain,
% 7.35/5.14 (((~![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))))),
% 7.35/5.14 inference(monotonicity,[status(thm)],[5514])).
% 7.35/5.14 tff(5516,plain,
% 7.35/5.14 (((~![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)))),
% 7.35/5.14 inference(transitivity,[status(thm)],[5515, 5513])).
% 7.35/5.14 tff(5517,plain,
% 7.35/5.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s82, c_busy)) | (~always3(s82)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5518,plain,
% 7.35/5.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s82)) | (~m_main_v_state(s82, c_busy))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5517, 5516])).
% 7.35/5.14 tff(5519,plain,
% 7.35/5.14 (~m_main_v_state(s82, c_busy)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5518, 72, 5512])).
% 7.35/5.14 tff(5520,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5521,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s81, s82)) | node2(s81, s82))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5522,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s81, s82)) | node2(s81, s82)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5521, 5520])).
% 7.35/5.14 tff(5523,plain,
% 7.35/5.14 (node2(s81, s82)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5522, 7, 5507])).
% 7.35/5.14 tff(5524,plain,
% 7.35/5.14 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5525,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5526,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5525, 5524])).
% 7.35/5.14 tff(5527,plain,
% 7.35/5.14 ((~m_main_v_state(s81, c_ready)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81))),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5526, 60, 5523])).
% 7.35/5.14 tff(5528,plain,
% 7.35/5.14 (~m_main_v_state(s81, c_ready)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5527, 5519, 5496])).
% 7.35/5.14 tff(5529,plain,
% 7.35/5.14 (~m_main_v_state(s81, c_busy)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5462, 72, 5500])).
% 7.35/5.14 tff(5530,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5531,plain,
% 7.35/5.14 ((~![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))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5532,plain,
% 7.35/5.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s81, c_busy) | m_main_v_state(s81, c_ready)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5531, 5530])).
% 7.35/5.14 tff(5533,plain,
% 7.35/5.14 ($false),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5532, 89, 5529, 5528])).
% 7.35/5.14 tff(5534,plain,(~node4(s81)), inference(lemma,lemma(discharge,[]))).
% 7.35/5.14 tff(5535,plain,
% 7.35/5.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s81) | node4(s81) | (~until5(s81)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s81) | node4(s81) | (~until5(s81)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5536,plain,
% 7.35/5.14 ((node4(s81) | (~until5(s81)) | xuntil6(s81)) <=> (xuntil6(s81) | node4(s81) | (~until5(s81)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5537,plain,
% 7.35/5.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s81) | (~until5(s81)) | xuntil6(s81))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s81) | node4(s81) | (~until5(s81))))),
% 7.35/5.14 inference(monotonicity,[status(thm)],[5536])).
% 7.35/5.14 tff(5538,plain,
% 7.35/5.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s81) | (~until5(s81)) | xuntil6(s81))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s81) | node4(s81) | (~until5(s81)))),
% 7.35/5.14 inference(transitivity,[status(thm)],[5537, 5535])).
% 7.35/5.14 tff(5539,plain,
% 7.35/5.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s81) | (~until5(s81)) | xuntil6(s81))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5540,plain,
% 7.35/5.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s81) | node4(s81) | (~until5(s81))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5539, 5538])).
% 7.35/5.14 tff(5541,plain,
% 7.35/5.14 (xuntil6(s81) | (~until5(s81))),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5540, 352, 5534])).
% 7.35/5.14 tff(5542,plain,
% 7.35/5.14 (xuntil6(s81)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5541, 5491])).
% 7.35/5.14 tff(5543,plain,
% 7.35/5.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5544,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5545,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5544, 5543])).
% 7.35/5.14 tff(5546,plain,
% 7.35/5.14 ((~xuntil6(s81)) | until5(s82)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5545, 5503, 370])).
% 7.35/5.14 tff(5547,plain,
% 7.35/5.14 (until5(s82)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5546, 5542])).
% 7.35/5.14 tff(5548,assumption,(node4(s82)), introduced(assumption)).
% 7.35/5.14 tff(5549,plain,
% 7.35/5.14 (((~![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)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5550,plain,
% 7.35/5.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s82) | (~node4(s82)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5551,plain,
% 7.35/5.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s82) | (~node4(s82))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5550, 5549])).
% 7.35/5.14 tff(5552,plain,
% 7.35/5.14 (m_main_v_request(s82)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5551, 28, 5548])).
% 7.35/5.14 tff(5553,plain,
% 7.35/5.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s82) | (~node4(s82)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s82) | (~node4(s82)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5554,plain,
% 7.35/5.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s82) | (~node4(s82)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5555,plain,
% 7.35/5.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s82) | (~node4(s82))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 7.35/5.14 tff(5556,plain,
% 7.35/5.14 (always3(s82)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5555, 16, 5548])).
% 7.35/5.14 tff(5557,plain,
% 7.35/5.14 (succ(s82, s83) <=> succ(s82, s83)),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5558,axiom,(succ(s82, s83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound83')).
% 7.35/5.14 tff(5559,plain,
% 7.35/5.14 (succ(s82, s83)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 7.35/5.14 tff(5560,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5561,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5562,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5561, 5560])).
% 7.35/5.14 tff(5563,plain,
% 7.35/5.14 (trans(s82, s83)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5562, 5559, 39])).
% 7.35/5.14 tff(5564,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5565,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s82, s83)) | (~always3(s82)) | always3(s83))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5566,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s82, s83)) | (~always3(s82)) | always3(s83)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5565, 5564])).
% 7.35/5.14 tff(5567,plain,
% 7.35/5.14 ((~always3(s82)) | always3(s83)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5566, 112, 5563])).
% 7.35/5.14 tff(5568,plain,
% 7.35/5.14 (always3(s83)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5567, 5556])).
% 7.35/5.14 tff(5569,plain,
% 7.35/5.14 (((~![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)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5570,plain,
% 7.35/5.14 (((~m_main_v_state(s83, c_busy)) | (~always3(s83))) <=> ((~always3(s83)) | (~m_main_v_state(s83, c_busy)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5571,plain,
% 7.35/5.14 (((~![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))))),
% 7.35/5.14 inference(monotonicity,[status(thm)],[5570])).
% 7.35/5.14 tff(5572,plain,
% 7.35/5.14 (((~![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)))),
% 7.35/5.14 inference(transitivity,[status(thm)],[5571, 5569])).
% 7.35/5.14 tff(5573,plain,
% 7.35/5.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s83, c_busy)) | (~always3(s83)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5574,plain,
% 7.35/5.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s83)) | (~m_main_v_state(s83, c_busy))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5573, 5572])).
% 7.35/5.14 tff(5575,plain,
% 7.35/5.14 (~m_main_v_state(s83, c_busy)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5574, 72, 5568])).
% 7.35/5.14 tff(5576,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5577,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s82, s83)) | node2(s82, s83))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5578,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s82, s83)) | node2(s82, s83)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5577, 5576])).
% 7.35/5.14 tff(5579,plain,
% 7.35/5.14 (node2(s82, s83)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5578, 7, 5563])).
% 7.35/5.14 tff(5580,plain,
% 7.35/5.14 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5581,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5582,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 7.35/5.14 tff(5583,plain,
% 7.35/5.14 ((~m_main_v_state(s82, c_ready)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82))),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5582, 60, 5579])).
% 7.35/5.14 tff(5584,plain,
% 7.35/5.14 (~m_main_v_state(s82, c_ready)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5583, 5575, 5552])).
% 7.35/5.14 tff(5585,plain,
% 7.35/5.14 (~m_main_v_state(s82, c_busy)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5518, 72, 5556])).
% 7.35/5.14 tff(5586,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5587,plain,
% 7.35/5.14 ((~![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))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5588,plain,
% 7.35/5.14 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s82, c_busy) | m_main_v_state(s82, c_ready)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5587, 5586])).
% 7.35/5.14 tff(5589,plain,
% 7.35/5.14 ($false),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5588, 89, 5585, 5584])).
% 7.35/5.14 tff(5590,plain,(~node4(s82)), inference(lemma,lemma(discharge,[]))).
% 7.35/5.14 tff(5591,plain,
% 7.35/5.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s82) | node4(s82) | (~until5(s82)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s82) | node4(s82) | (~until5(s82)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5592,plain,
% 7.35/5.14 ((node4(s82) | (~until5(s82)) | xuntil6(s82)) <=> (xuntil6(s82) | node4(s82) | (~until5(s82)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5593,plain,
% 7.35/5.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s82) | (~until5(s82)) | xuntil6(s82))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s82) | node4(s82) | (~until5(s82))))),
% 7.35/5.14 inference(monotonicity,[status(thm)],[5592])).
% 7.35/5.14 tff(5594,plain,
% 7.35/5.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s82) | (~until5(s82)) | xuntil6(s82))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s82) | node4(s82) | (~until5(s82)))),
% 7.35/5.14 inference(transitivity,[status(thm)],[5593, 5591])).
% 7.35/5.14 tff(5595,plain,
% 7.35/5.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s82) | (~until5(s82)) | xuntil6(s82))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5596,plain,
% 7.35/5.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s82) | node4(s82) | (~until5(s82))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5595, 5594])).
% 7.35/5.14 tff(5597,plain,
% 7.35/5.14 (xuntil6(s82) | (~until5(s82))),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5596, 352, 5590])).
% 7.35/5.14 tff(5598,plain,
% 7.35/5.14 (xuntil6(s82)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5597, 5547])).
% 7.35/5.14 tff(5599,plain,
% 7.35/5.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5600,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5601,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5600, 5599])).
% 7.35/5.14 tff(5602,plain,
% 7.35/5.14 ((~xuntil6(s82)) | until5(s83)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5601, 5559, 370])).
% 7.35/5.14 tff(5603,plain,
% 7.35/5.14 (until5(s83)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5602, 5598])).
% 7.35/5.14 tff(5604,assumption,(node4(s83)), introduced(assumption)).
% 7.35/5.14 tff(5605,plain,
% 7.35/5.14 (((~![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)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5606,plain,
% 7.35/5.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s83) | (~node4(s83)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5607,plain,
% 7.35/5.14 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s83) | (~node4(s83))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5606, 5605])).
% 7.35/5.14 tff(5608,plain,
% 7.35/5.14 (m_main_v_request(s83)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5607, 28, 5604])).
% 7.35/5.14 tff(5609,plain,
% 7.35/5.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s83) | (~node4(s83)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s83) | (~node4(s83)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5610,plain,
% 7.35/5.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s83) | (~node4(s83)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5611,plain,
% 7.35/5.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s83) | (~node4(s83))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5610, 5609])).
% 7.35/5.14 tff(5612,plain,
% 7.35/5.14 (always3(s83)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5611, 16, 5604])).
% 7.35/5.14 tff(5613,plain,
% 7.35/5.14 (succ(s83, s84) <=> succ(s83, s84)),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5614,axiom,(succ(s83, s84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound84')).
% 7.35/5.14 tff(5615,plain,
% 7.35/5.14 (succ(s83, s84)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5614, 5613])).
% 7.35/5.14 tff(5616,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5617,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5618,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5617, 5616])).
% 7.35/5.14 tff(5619,plain,
% 7.35/5.14 (trans(s83, s84)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5618, 5615, 39])).
% 7.35/5.14 tff(5620,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5621,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s83, s84)) | (~always3(s83)) | always3(s84))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5622,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s83, s84)) | (~always3(s83)) | always3(s84)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5621, 5620])).
% 7.35/5.14 tff(5623,plain,
% 7.35/5.14 ((~always3(s83)) | always3(s84)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5622, 112, 5619])).
% 7.35/5.14 tff(5624,plain,
% 7.35/5.14 (always3(s84)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5623, 5612])).
% 7.35/5.14 tff(5625,plain,
% 7.35/5.14 (((~![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)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5626,plain,
% 7.35/5.14 (((~m_main_v_state(s84, c_busy)) | (~always3(s84))) <=> ((~always3(s84)) | (~m_main_v_state(s84, c_busy)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5627,plain,
% 7.35/5.14 (((~![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))))),
% 7.35/5.14 inference(monotonicity,[status(thm)],[5626])).
% 7.35/5.14 tff(5628,plain,
% 7.35/5.14 (((~![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)))),
% 7.35/5.14 inference(transitivity,[status(thm)],[5627, 5625])).
% 7.35/5.14 tff(5629,plain,
% 7.35/5.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s84, c_busy)) | (~always3(s84)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5630,plain,
% 7.35/5.14 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s84)) | (~m_main_v_state(s84, c_busy))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5629, 5628])).
% 7.35/5.14 tff(5631,plain,
% 7.35/5.14 (~m_main_v_state(s84, c_busy)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5630, 72, 5624])).
% 7.35/5.14 tff(5632,plain,
% 7.35/5.14 (((~![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))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5633,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s83, s84)) | node2(s83, s84))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5634,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s83, s84)) | node2(s83, s84)),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5633, 5632])).
% 7.35/5.14 tff(5635,plain,
% 7.35/5.14 (node2(s83, s84)),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5634, 7, 5619])).
% 7.35/5.14 tff(5636,plain,
% 7.35/5.14 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.35/5.14 inference(rewrite,[status(thm)],[])).
% 7.35/5.14 tff(5637,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.35/5.14 inference(quant_inst,[status(thm)],[])).
% 7.35/5.14 tff(5638,plain,
% 7.35/5.14 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 7.35/5.14 inference(modus_ponens,[status(thm)],[5637, 5636])).
% 7.35/5.14 tff(5639,plain,
% 7.35/5.14 ((~m_main_v_state(s83, c_ready)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83))),
% 7.35/5.14 inference(unit_resolution,[status(thm)],[5638, 60, 5635])).
% 7.35/5.15 tff(5640,plain,
% 7.35/5.15 (~m_main_v_state(s83, c_ready)),
% 7.35/5.15 inference(unit_resolution,[status(thm)],[5639, 5631, 5608])).
% 7.35/5.15 tff(5641,plain,
% 7.35/5.15 (~m_main_v_state(s83, c_busy)),
% 7.35/5.15 inference(unit_resolution,[status(thm)],[5574, 72, 5612])).
% 7.35/5.15 tff(5642,plain,
% 7.35/5.15 (((~![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))),
% 7.35/5.15 inference(rewrite,[status(thm)],[])).
% 7.35/5.15 tff(5643,plain,
% 7.35/5.15 ((~![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))),
% 7.35/5.15 inference(quant_inst,[status(thm)],[])).
% 7.35/5.15 tff(5644,plain,
% 7.35/5.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s83, c_busy) | m_main_v_state(s83, c_ready)),
% 7.35/5.15 inference(modus_ponens,[status(thm)],[5643, 5642])).
% 7.35/5.15 tff(5645,plain,
% 7.35/5.15 ($false),
% 7.35/5.15 inference(unit_resolution,[status(thm)],[5644, 89, 5641, 5640])).
% 7.35/5.15 tff(5646,plain,(~node4(s83)), inference(lemma,lemma(discharge,[]))).
% 7.35/5.15 tff(5647,plain,
% 7.35/5.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s83) | node4(s83) | (~until5(s83)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s83) | node4(s83) | (~until5(s83)))),
% 7.35/5.15 inference(rewrite,[status(thm)],[])).
% 7.35/5.15 tff(5648,plain,
% 7.35/5.15 ((node4(s83) | (~until5(s83)) | xuntil6(s83)) <=> (xuntil6(s83) | node4(s83) | (~until5(s83)))),
% 7.35/5.15 inference(rewrite,[status(thm)],[])).
% 7.35/5.15 tff(5649,plain,
% 7.35/5.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s83) | (~until5(s83)) | xuntil6(s83))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s83) | node4(s83) | (~until5(s83))))),
% 7.35/5.15 inference(monotonicity,[status(thm)],[5648])).
% 7.35/5.15 tff(5650,plain,
% 7.35/5.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s83) | (~until5(s83)) | xuntil6(s83))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s83) | node4(s83) | (~until5(s83)))),
% 7.35/5.15 inference(transitivity,[status(thm)],[5649, 5647])).
% 7.35/5.15 tff(5651,plain,
% 7.35/5.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s83) | (~until5(s83)) | xuntil6(s83))),
% 7.35/5.15 inference(quant_inst,[status(thm)],[])).
% 7.35/5.15 tff(5652,plain,
% 7.35/5.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s83) | node4(s83) | (~until5(s83))),
% 7.35/5.15 inference(modus_ponens,[status(thm)],[5651, 5650])).
% 7.35/5.15 tff(5653,plain,
% 7.35/5.15 (xuntil6(s83) | (~until5(s83))),
% 7.35/5.15 inference(unit_resolution,[status(thm)],[5652, 352, 5646])).
% 7.35/5.15 tff(5654,plain,
% 7.35/5.15 (xuntil6(s83)),
% 7.35/5.15 inference(unit_resolution,[status(thm)],[5653, 5603])).
% 7.35/5.15 tff(5655,plain,
% 7.35/5.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84))),
% 7.35/5.15 inference(rewrite,[status(thm)],[])).
% 7.35/5.15 tff(5656,plain,
% 7.35/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84))),
% 7.35/5.15 inference(quant_inst,[status(thm)],[])).
% 7.35/5.15 tff(5657,plain,
% 7.35/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84)),
% 7.35/5.15 inference(modus_ponens,[status(thm)],[5656, 5655])).
% 7.35/5.15 tff(5658,plain,
% 7.35/5.15 ((~xuntil6(s83)) | until5(s84)),
% 7.35/5.15 inference(unit_resolution,[status(thm)],[5657, 5615, 370])).
% 7.35/5.15 tff(5659,plain,
% 7.35/5.15 (until5(s84)),
% 7.35/5.15 inference(unit_resolution,[status(thm)],[5658, 5654])).
% 7.35/5.15 tff(5660,assumption,(node4(s84)), introduced(assumption)).
% 7.35/5.15 tff(5661,plain,
% 7.35/5.15 (((~![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)))),
% 7.35/5.15 inference(rewrite,[status(thm)],[])).
% 7.35/5.15 tff(5662,plain,
% 7.35/5.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s84) | (~node4(s84)))),
% 7.35/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5663,plain,
% 7.37/5.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s84) | (~node4(s84))),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5662, 5661])).
% 7.37/5.15 tff(5664,plain,
% 7.37/5.15 (m_main_v_request(s84)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5663, 28, 5660])).
% 7.37/5.15 tff(5665,plain,
% 7.37/5.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s84) | (~node4(s84)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s84) | (~node4(s84)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5666,plain,
% 7.37/5.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s84) | (~node4(s84)))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5667,plain,
% 7.37/5.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s84) | (~node4(s84))),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5666, 5665])).
% 7.37/5.15 tff(5668,plain,
% 7.37/5.15 (always3(s84)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5667, 16, 5660])).
% 7.37/5.15 tff(5669,plain,
% 7.37/5.15 (succ(s84, s85) <=> succ(s84, s85)),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5670,axiom,(succ(s84, s85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound85')).
% 7.37/5.15 tff(5671,plain,
% 7.37/5.15 (succ(s84, s85)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5670, 5669])).
% 7.37/5.15 tff(5672,plain,
% 7.37/5.15 (((~![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))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5673,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5674,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 7.37/5.15 tff(5675,plain,
% 7.37/5.15 (trans(s84, s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5674, 5671, 39])).
% 7.37/5.15 tff(5676,plain,
% 7.37/5.15 (((~![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))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5677,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s84, s85)) | (~always3(s84)) | always3(s85))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5678,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s84, s85)) | (~always3(s84)) | always3(s85)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5677, 5676])).
% 7.37/5.15 tff(5679,plain,
% 7.37/5.15 ((~always3(s84)) | always3(s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5678, 112, 5675])).
% 7.37/5.15 tff(5680,plain,
% 7.37/5.15 (always3(s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5679, 5668])).
% 7.37/5.15 tff(5681,plain,
% 7.37/5.15 (((~![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)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5682,plain,
% 7.37/5.15 (((~m_main_v_state(s85, c_busy)) | (~always3(s85))) <=> ((~always3(s85)) | (~m_main_v_state(s85, c_busy)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5683,plain,
% 7.37/5.15 (((~![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))))),
% 7.37/5.15 inference(monotonicity,[status(thm)],[5682])).
% 7.37/5.15 tff(5684,plain,
% 7.37/5.15 (((~![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)))),
% 7.37/5.15 inference(transitivity,[status(thm)],[5683, 5681])).
% 7.37/5.15 tff(5685,plain,
% 7.37/5.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s85, c_busy)) | (~always3(s85)))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5686,plain,
% 7.37/5.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s85)) | (~m_main_v_state(s85, c_busy))),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5685, 5684])).
% 7.37/5.15 tff(5687,plain,
% 7.37/5.15 (~m_main_v_state(s85, c_busy)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5686, 72, 5680])).
% 7.37/5.15 tff(5688,plain,
% 7.37/5.15 (((~![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))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5689,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s84, s85)) | node2(s84, s85))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5690,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s84, s85)) | node2(s84, s85)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5689, 5688])).
% 7.37/5.15 tff(5691,plain,
% 7.37/5.15 (node2(s84, s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5690, 7, 5675])).
% 7.37/5.15 tff(5692,plain,
% 7.37/5.15 (((~![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(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)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5693,plain,
% 7.37/5.15 ((~![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(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84)))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5694,plain,
% 7.37/5.15 ((~![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(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84))),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 7.37/5.15 tff(5695,plain,
% 7.37/5.15 ((~m_main_v_state(s84, c_ready)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5694, 60, 5691])).
% 7.37/5.15 tff(5696,plain,
% 7.37/5.15 (~m_main_v_state(s84, c_ready)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5695, 5687, 5664])).
% 7.37/5.15 tff(5697,plain,
% 7.37/5.15 (~m_main_v_state(s84, c_busy)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5630, 72, 5668])).
% 7.37/5.15 tff(5698,plain,
% 7.37/5.15 (((~![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))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5699,plain,
% 7.37/5.15 ((~![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))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5700,plain,
% 7.37/5.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5699, 5698])).
% 7.37/5.15 tff(5701,plain,
% 7.37/5.15 ($false),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5700, 89, 5697, 5696])).
% 7.37/5.15 tff(5702,plain,(~node4(s84)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.15 tff(5703,plain,
% 7.37/5.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s84) | node4(s84) | (~until5(s84)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s84) | node4(s84) | (~until5(s84)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5704,plain,
% 7.37/5.15 ((node4(s84) | (~until5(s84)) | xuntil6(s84)) <=> (xuntil6(s84) | node4(s84) | (~until5(s84)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5705,plain,
% 7.37/5.15 (((~![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))))),
% 7.37/5.15 inference(monotonicity,[status(thm)],[5704])).
% 7.37/5.15 tff(5706,plain,
% 7.37/5.15 (((~![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)))),
% 7.37/5.15 inference(transitivity,[status(thm)],[5705, 5703])).
% 7.37/5.15 tff(5707,plain,
% 7.37/5.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s84) | (~until5(s84)) | xuntil6(s84))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5708,plain,
% 7.37/5.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s84) | node4(s84) | (~until5(s84))),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5707, 5706])).
% 7.37/5.15 tff(5709,plain,
% 7.37/5.15 (xuntil6(s84) | (~until5(s84))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5708, 352, 5702])).
% 7.37/5.15 tff(5710,plain,
% 7.37/5.15 (xuntil6(s84)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5709, 5659])).
% 7.37/5.15 tff(5711,plain,
% 7.37/5.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5712,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5713,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 7.37/5.15 tff(5714,plain,
% 7.37/5.15 ((~xuntil6(s84)) | until5(s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5713, 5671, 370])).
% 7.37/5.15 tff(5715,plain,
% 7.37/5.15 (until5(s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5714, 5710])).
% 7.37/5.15 tff(5716,assumption,(node4(s85)), introduced(assumption)).
% 7.37/5.15 tff(5717,plain,
% 7.37/5.15 (((~![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)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5718,plain,
% 7.37/5.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s85) | (~node4(s85)))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5719,plain,
% 7.37/5.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s85) | (~node4(s85))),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5718, 5717])).
% 7.37/5.15 tff(5720,plain,
% 7.37/5.15 (m_main_v_request(s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5719, 28, 5716])).
% 7.37/5.15 tff(5721,plain,
% 7.37/5.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s85) | (~node4(s85)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s85) | (~node4(s85)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5722,plain,
% 7.37/5.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s85) | (~node4(s85)))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5723,plain,
% 7.37/5.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s85) | (~node4(s85))),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5722, 5721])).
% 7.37/5.15 tff(5724,plain,
% 7.37/5.15 (always3(s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5723, 16, 5716])).
% 7.37/5.15 tff(5725,plain,
% 7.37/5.15 (succ(s85, s86) <=> succ(s85, s86)),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5726,axiom,(succ(s85, s86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound86')).
% 7.37/5.15 tff(5727,plain,
% 7.37/5.15 (succ(s85, s86)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5726, 5725])).
% 7.37/5.15 tff(5728,plain,
% 7.37/5.15 (((~![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))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5729,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5730,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5729, 5728])).
% 7.37/5.15 tff(5731,plain,
% 7.37/5.15 (trans(s85, s86)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5730, 5727, 39])).
% 7.37/5.15 tff(5732,plain,
% 7.37/5.15 (((~![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))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5733,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s85, s86)) | (~always3(s85)) | always3(s86))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5734,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s85, s86)) | (~always3(s85)) | always3(s86)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5733, 5732])).
% 7.37/5.15 tff(5735,plain,
% 7.37/5.15 ((~always3(s85)) | always3(s86)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5734, 112, 5731])).
% 7.37/5.15 tff(5736,plain,
% 7.37/5.15 (always3(s86)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5735, 5724])).
% 7.37/5.15 tff(5737,plain,
% 7.37/5.15 (~m_main_v_state(s86, c_busy)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[161, 72, 5736])).
% 7.37/5.15 tff(5738,plain,
% 7.37/5.15 (((~![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))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5739,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s85, s86)) | node2(s85, s86))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5740,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s85, s86)) | node2(s85, s86)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 7.37/5.15 tff(5741,plain,
% 7.37/5.15 (node2(s85, s86)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5740, 7, 5731])).
% 7.37/5.15 tff(5742,plain,
% 7.37/5.15 (((~![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(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)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5743,plain,
% 7.37/5.15 ((~![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(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85)))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5744,plain,
% 7.37/5.15 ((~![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(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85))),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5743, 5742])).
% 7.37/5.15 tff(5745,plain,
% 7.37/5.15 ((~m_main_v_state(s85, c_ready)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5744, 60, 5741])).
% 7.37/5.15 tff(5746,plain,
% 7.37/5.15 (~m_main_v_state(s85, c_ready)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5745, 5737, 5720])).
% 7.37/5.15 tff(5747,plain,
% 7.37/5.15 (~m_main_v_state(s85, c_busy)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5686, 72, 5724])).
% 7.37/5.15 tff(5748,plain,
% 7.37/5.15 (((~![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))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5749,plain,
% 7.37/5.15 ((~![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))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5750,plain,
% 7.37/5.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s85, c_busy) | m_main_v_state(s85, c_ready)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5749, 5748])).
% 7.37/5.15 tff(5751,plain,
% 7.37/5.15 ($false),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5750, 89, 5747, 5746])).
% 7.37/5.15 tff(5752,plain,(~node4(s85)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.15 tff(5753,plain,
% 7.37/5.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s85) | node4(s85) | (~until5(s85)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s85) | node4(s85) | (~until5(s85)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5754,plain,
% 7.37/5.15 ((node4(s85) | (~until5(s85)) | xuntil6(s85)) <=> (xuntil6(s85) | node4(s85) | (~until5(s85)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5755,plain,
% 7.37/5.15 (((~![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))))),
% 7.37/5.15 inference(monotonicity,[status(thm)],[5754])).
% 7.37/5.15 tff(5756,plain,
% 7.37/5.15 (((~![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)))),
% 7.37/5.15 inference(transitivity,[status(thm)],[5755, 5753])).
% 7.37/5.15 tff(5757,plain,
% 7.37/5.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s85) | (~until5(s85)) | xuntil6(s85))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5758,plain,
% 7.37/5.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s85) | node4(s85) | (~until5(s85))),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5757, 5756])).
% 7.37/5.15 tff(5759,plain,
% 7.37/5.15 (xuntil6(s85) | (~until5(s85))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5758, 352, 5752])).
% 7.37/5.15 tff(5760,plain,
% 7.37/5.15 (xuntil6(s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5759, 5715])).
% 7.37/5.15 tff(5761,plain,
% 7.37/5.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5762,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5763,plain,
% 7.37/5.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86)),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5762, 5761])).
% 7.37/5.15 tff(5764,plain,
% 7.37/5.15 ((~xuntil6(s85)) | until5(s86)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5763, 5727, 370])).
% 7.37/5.15 tff(5765,plain,
% 7.37/5.15 (until5(s86)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5764, 5760])).
% 7.37/5.15 tff(5766,assumption,(~xuntil6(s86)), introduced(assumption)).
% 7.37/5.15 tff(5767,assumption,(~always3(s86)), introduced(assumption)).
% 7.37/5.15 tff(5768,plain,
% 7.37/5.15 (~always3(s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5735, 5767])).
% 7.37/5.15 tff(5769,plain,
% 7.37/5.15 (~always3(s84)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5679, 5768])).
% 7.37/5.15 tff(5770,plain,
% 7.37/5.15 (~always3(s83)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5623, 5769])).
% 7.37/5.15 tff(5771,plain,
% 7.37/5.15 (~always3(s82)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5567, 5770])).
% 7.37/5.15 tff(5772,plain,
% 7.37/5.15 (~always3(s81)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5511, 5771])).
% 7.37/5.15 tff(5773,plain,
% 7.37/5.15 (~always3(s80)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5455, 5772])).
% 7.37/5.15 tff(5774,plain,
% 7.37/5.15 (~always3(s79)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5399, 5773])).
% 7.37/5.15 tff(5775,plain,
% 7.37/5.15 (~always3(s78)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5343, 5774])).
% 7.37/5.15 tff(5776,plain,
% 7.37/5.15 (~always3(s77)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5287, 5775])).
% 7.37/5.15 tff(5777,plain,
% 7.37/5.15 (~always3(s76)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5231, 5776])).
% 7.37/5.15 tff(5778,plain,
% 7.37/5.15 (~node4(s76)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5219, 16, 5777])).
% 7.37/5.15 tff(5779,plain,
% 7.37/5.15 (~node4(s86)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[126, 16, 5767])).
% 7.37/5.15 tff(5780,plain,
% 7.37/5.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s86) | node4(s86) | (~until5(s86)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s86) | node4(s86) | (~until5(s86)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5781,plain,
% 7.37/5.15 ((node4(s86) | (~until5(s86)) | xuntil6(s86)) <=> (xuntil6(s86) | node4(s86) | (~until5(s86)))),
% 7.37/5.15 inference(rewrite,[status(thm)],[])).
% 7.37/5.15 tff(5782,plain,
% 7.37/5.15 (((~![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))))),
% 7.37/5.15 inference(monotonicity,[status(thm)],[5781])).
% 7.37/5.15 tff(5783,plain,
% 7.37/5.15 (((~![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)))),
% 7.37/5.15 inference(transitivity,[status(thm)],[5782, 5780])).
% 7.37/5.15 tff(5784,plain,
% 7.37/5.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s86) | (~until5(s86)) | xuntil6(s86))),
% 7.37/5.15 inference(quant_inst,[status(thm)],[])).
% 7.37/5.15 tff(5785,plain,
% 7.37/5.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s86) | node4(s86) | (~until5(s86))),
% 7.37/5.15 inference(modus_ponens,[status(thm)],[5784, 5783])).
% 7.37/5.15 tff(5786,plain,
% 7.37/5.15 (node4(s86) | (~until5(s86))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5785, 352, 5766])).
% 7.37/5.15 tff(5787,plain,
% 7.37/5.15 (~until5(s86)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5786, 5779])).
% 7.37/5.15 tff(5788,plain,
% 7.37/5.15 (~xuntil6(s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5764, 5787])).
% 7.37/5.15 tff(5789,plain,
% 7.37/5.15 (~until5(s85)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5759, 5788])).
% 7.37/5.15 tff(5790,plain,
% 7.37/5.15 (~xuntil6(s84)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5714, 5789])).
% 7.37/5.15 tff(5791,plain,
% 7.37/5.15 (~until5(s84)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5709, 5790])).
% 7.37/5.15 tff(5792,plain,
% 7.37/5.15 (~xuntil6(s83)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5658, 5791])).
% 7.37/5.15 tff(5793,plain,
% 7.37/5.15 (~until5(s83)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5653, 5792])).
% 7.37/5.15 tff(5794,plain,
% 7.37/5.15 (~xuntil6(s82)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5602, 5793])).
% 7.37/5.15 tff(5795,plain,
% 7.37/5.15 (~until5(s82)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5597, 5794])).
% 7.37/5.15 tff(5796,plain,
% 7.37/5.15 (~xuntil6(s81)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5546, 5795])).
% 7.37/5.15 tff(5797,plain,
% 7.37/5.15 (~until5(s81)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5541, 5796])).
% 7.37/5.15 tff(5798,plain,
% 7.37/5.15 (~xuntil6(s80)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5490, 5797])).
% 7.37/5.15 tff(5799,plain,
% 7.37/5.15 (~until5(s80)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5485, 5798])).
% 7.37/5.15 tff(5800,plain,
% 7.37/5.15 (~xuntil6(s79)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5434, 5799])).
% 7.37/5.15 tff(5801,plain,
% 7.37/5.15 (~until5(s79)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5429, 5800])).
% 7.37/5.15 tff(5802,plain,
% 7.37/5.15 (~xuntil6(s78)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5378, 5801])).
% 7.37/5.15 tff(5803,plain,
% 7.37/5.15 (~until5(s78)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5373, 5802])).
% 7.37/5.15 tff(5804,plain,
% 7.37/5.15 (~xuntil6(s77)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5322, 5803])).
% 7.37/5.15 tff(5805,plain,
% 7.37/5.15 (~until5(s77)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5317, 5804])).
% 7.37/5.15 tff(5806,plain,
% 7.37/5.15 (~xuntil6(s76)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5266, 5805])).
% 7.37/5.15 tff(5807,plain,
% 7.37/5.15 (~until5(s76)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5260, 352, 5806, 5778])).
% 7.37/5.15 tff(5808,plain,
% 7.37/5.15 (~xuntil6(s75)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5210, 5807])).
% 7.37/5.15 tff(5809,plain,
% 7.37/5.15 (~always3(s75)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5175, 5777])).
% 7.37/5.15 tff(5810,plain,
% 7.37/5.15 (~node4(s75)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5163, 16, 5809])).
% 7.37/5.15 tff(5811,plain,
% 7.37/5.15 (xuntil6(s75) | (~until5(s75))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5204, 352, 5810])).
% 7.37/5.15 tff(5812,plain,
% 7.37/5.15 (~until5(s75)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5811, 5808])).
% 7.37/5.15 tff(5813,plain,
% 7.37/5.15 (~xuntil6(s74)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5154, 5812])).
% 7.37/5.15 tff(5814,plain,
% 7.37/5.15 (~always3(s74)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5119, 5809])).
% 7.37/5.15 tff(5815,plain,
% 7.37/5.15 (~node4(s74)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5107, 16, 5814])).
% 7.37/5.15 tff(5816,plain,
% 7.37/5.15 (xuntil6(s74) | (~until5(s74))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5148, 352, 5815])).
% 7.37/5.15 tff(5817,plain,
% 7.37/5.15 (~until5(s74)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5816, 5813])).
% 7.37/5.15 tff(5818,plain,
% 7.37/5.15 (~xuntil6(s73)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5098, 5817])).
% 7.37/5.15 tff(5819,plain,
% 7.37/5.15 (~always3(s73)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5063, 5814])).
% 7.37/5.15 tff(5820,plain,
% 7.37/5.15 (~node4(s73)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5051, 16, 5819])).
% 7.37/5.15 tff(5821,plain,
% 7.37/5.15 (xuntil6(s73) | (~until5(s73))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5092, 352, 5820])).
% 7.37/5.15 tff(5822,plain,
% 7.37/5.15 (~until5(s73)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5821, 5818])).
% 7.37/5.15 tff(5823,plain,
% 7.37/5.15 (~xuntil6(s72)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5042, 5822])).
% 7.37/5.15 tff(5824,plain,
% 7.37/5.15 (~until5(s72)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5037, 5823])).
% 7.37/5.15 tff(5825,plain,
% 7.37/5.15 (~xuntil6(s71)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4986, 5824])).
% 7.37/5.15 tff(5826,plain,
% 7.37/5.15 (~until5(s71)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4981, 5825])).
% 7.37/5.15 tff(5827,plain,
% 7.37/5.15 (~xuntil6(s70)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4930, 5826])).
% 7.37/5.15 tff(5828,plain,
% 7.37/5.15 (~always3(s72)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5007, 5819])).
% 7.37/5.15 tff(5829,plain,
% 7.37/5.15 (~always3(s71)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4951, 5828])).
% 7.37/5.15 tff(5830,plain,
% 7.37/5.15 (~always3(s70)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4895, 5829])).
% 7.37/5.15 tff(5831,plain,
% 7.37/5.15 (~node4(s70)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4883, 16, 5830])).
% 7.37/5.15 tff(5832,plain,
% 7.37/5.15 (xuntil6(s70) | (~until5(s70))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4924, 352, 5831])).
% 7.37/5.15 tff(5833,plain,
% 7.37/5.15 (~until5(s70)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5832, 5827])).
% 7.37/5.15 tff(5834,plain,
% 7.37/5.15 (~xuntil6(s69)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4874, 5833])).
% 7.37/5.15 tff(5835,plain,
% 7.37/5.15 (~until5(s69)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4869, 5834])).
% 7.37/5.15 tff(5836,plain,
% 7.37/5.15 (~xuntil6(s68)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4818, 5835])).
% 7.37/5.15 tff(5837,plain,
% 7.37/5.15 (~always3(s69)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4839, 5830])).
% 7.37/5.15 tff(5838,plain,
% 7.37/5.15 (~always3(s68)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4783, 5837])).
% 7.37/5.15 tff(5839,plain,
% 7.37/5.15 (~node4(s68)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4771, 16, 5838])).
% 7.37/5.15 tff(5840,plain,
% 7.37/5.15 (xuntil6(s68) | (~until5(s68))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4812, 352, 5839])).
% 7.37/5.15 tff(5841,plain,
% 7.37/5.15 (~until5(s68)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5840, 5836])).
% 7.37/5.15 tff(5842,plain,
% 7.37/5.15 (~xuntil6(s67)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4762, 5841])).
% 7.37/5.15 tff(5843,plain,
% 7.37/5.15 (~until5(s67)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4757, 5842])).
% 7.37/5.15 tff(5844,plain,
% 7.37/5.15 (~xuntil6(s66)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4706, 5843])).
% 7.37/5.15 tff(5845,plain,
% 7.37/5.15 (~always3(s67)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4727, 5838])).
% 7.37/5.15 tff(5846,plain,
% 7.37/5.15 (~always3(s66)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4671, 5845])).
% 7.37/5.15 tff(5847,plain,
% 7.37/5.15 (~node4(s66)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4659, 16, 5846])).
% 7.37/5.15 tff(5848,plain,
% 7.37/5.15 (xuntil6(s66) | (~until5(s66))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4700, 352, 5847])).
% 7.37/5.15 tff(5849,plain,
% 7.37/5.15 (~until5(s66)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5848, 5844])).
% 7.37/5.15 tff(5850,plain,
% 7.37/5.15 (~xuntil6(s65)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4650, 5849])).
% 7.37/5.15 tff(5851,plain,
% 7.37/5.15 (~always3(s65)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4615, 5846])).
% 7.37/5.15 tff(5852,plain,
% 7.37/5.15 (~node4(s65)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4603, 16, 5851])).
% 7.37/5.15 tff(5853,plain,
% 7.37/5.15 (xuntil6(s65) | (~until5(s65))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4644, 352, 5852])).
% 7.37/5.15 tff(5854,plain,
% 7.37/5.15 (~until5(s65)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5853, 5850])).
% 7.37/5.15 tff(5855,plain,
% 7.37/5.15 (~xuntil6(s64)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4594, 5854])).
% 7.37/5.15 tff(5856,plain,
% 7.37/5.15 (~always3(s64)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4559, 5851])).
% 7.37/5.15 tff(5857,plain,
% 7.37/5.15 (~node4(s64)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4547, 16, 5856])).
% 7.37/5.15 tff(5858,plain,
% 7.37/5.15 (xuntil6(s64) | (~until5(s64))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4588, 352, 5857])).
% 7.37/5.15 tff(5859,plain,
% 7.37/5.15 (~until5(s64)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5858, 5855])).
% 7.37/5.15 tff(5860,plain,
% 7.37/5.15 (~xuntil6(s63)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4538, 5859])).
% 7.37/5.15 tff(5861,plain,
% 7.37/5.15 (~until5(s63)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4533, 5860])).
% 7.37/5.15 tff(5862,plain,
% 7.37/5.15 (~xuntil6(s62)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4482, 5861])).
% 7.37/5.15 tff(5863,plain,
% 7.37/5.15 (~always3(s63)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4503, 5856])).
% 7.37/5.15 tff(5864,plain,
% 7.37/5.15 (~always3(s62)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4447, 5863])).
% 7.37/5.15 tff(5865,plain,
% 7.37/5.15 (~node4(s62)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4435, 16, 5864])).
% 7.37/5.15 tff(5866,plain,
% 7.37/5.15 (xuntil6(s62) | (~until5(s62))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4476, 352, 5865])).
% 7.37/5.15 tff(5867,plain,
% 7.37/5.15 (~until5(s62)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5866, 5862])).
% 7.37/5.15 tff(5868,plain,
% 7.37/5.15 (~xuntil6(s61)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4426, 5867])).
% 7.37/5.15 tff(5869,plain,
% 7.37/5.15 (~always3(s61)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4391, 5864])).
% 7.37/5.15 tff(5870,plain,
% 7.37/5.15 (~node4(s61)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4379, 16, 5869])).
% 7.37/5.15 tff(5871,plain,
% 7.37/5.15 (xuntil6(s61) | (~until5(s61))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4420, 352, 5870])).
% 7.37/5.15 tff(5872,plain,
% 7.37/5.15 (~until5(s61)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5871, 5868])).
% 7.37/5.15 tff(5873,plain,
% 7.37/5.15 (~xuntil6(s60)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4370, 5872])).
% 7.37/5.15 tff(5874,plain,
% 7.37/5.15 (~until5(s60)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4365, 5873])).
% 7.37/5.15 tff(5875,plain,
% 7.37/5.15 (~xuntil6(s59)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4314, 5874])).
% 7.37/5.15 tff(5876,plain,
% 7.37/5.15 (~always3(s60)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4335, 5869])).
% 7.37/5.15 tff(5877,plain,
% 7.37/5.15 (~always3(s59)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4279, 5876])).
% 7.37/5.15 tff(5878,plain,
% 7.37/5.15 (~always3(s58)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4223, 5877])).
% 7.37/5.15 tff(5879,plain,
% 7.37/5.15 (~always3(s57)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4167, 5878])).
% 7.37/5.15 tff(5880,plain,
% 7.37/5.15 (~always3(s56)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4111, 5879])).
% 7.37/5.15 tff(5881,plain,
% 7.37/5.15 (~always3(s55)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4055, 5880])).
% 7.37/5.15 tff(5882,plain,
% 7.37/5.15 (~always3(s54)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3999, 5881])).
% 7.37/5.15 tff(5883,plain,
% 7.37/5.15 (~always3(s53)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3943, 5882])).
% 7.37/5.15 tff(5884,plain,
% 7.37/5.15 (~always3(s52)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3887, 5883])).
% 7.37/5.15 tff(5885,plain,
% 7.37/5.15 (~always3(s51)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3831, 5884])).
% 7.37/5.15 tff(5886,plain,
% 7.37/5.15 (~always3(s50)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3775, 5885])).
% 7.37/5.15 tff(5887,plain,
% 7.37/5.15 (~always3(s49)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3719, 5886])).
% 7.37/5.15 tff(5888,plain,
% 7.37/5.15 (~always3(s48)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3663, 5887])).
% 7.37/5.15 tff(5889,plain,
% 7.37/5.15 (~always3(s47)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3607, 5888])).
% 7.37/5.15 tff(5890,plain,
% 7.37/5.15 (~always3(s46)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3551, 5889])).
% 7.37/5.15 tff(5891,plain,
% 7.37/5.15 (~always3(s45)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3495, 5890])).
% 7.37/5.15 tff(5892,plain,
% 7.37/5.15 (~always3(s44)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3439, 5891])).
% 7.37/5.15 tff(5893,plain,
% 7.37/5.15 (~always3(s43)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3383, 5892])).
% 7.37/5.15 tff(5894,plain,
% 7.37/5.15 (~always3(s42)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3327, 5893])).
% 7.37/5.15 tff(5895,plain,
% 7.37/5.15 (~node4(s42)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3315, 16, 5894])).
% 7.37/5.15 tff(5896,plain,
% 7.37/5.15 (~always3(s41)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3271, 5894])).
% 7.37/5.15 tff(5897,plain,
% 7.37/5.15 (~node4(s41)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3259, 16, 5896])).
% 7.37/5.15 tff(5898,plain,
% 7.37/5.15 (~always3(s40)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3215, 5896])).
% 7.37/5.15 tff(5899,plain,
% 7.37/5.15 (~always3(s39)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3159, 5898])).
% 7.37/5.15 tff(5900,plain,
% 7.37/5.15 (~always3(s38)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3103, 5899])).
% 7.37/5.15 tff(5901,plain,
% 7.37/5.15 (~always3(s37)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3016, 5900])).
% 7.37/5.15 tff(5902,plain,
% 7.37/5.15 (xuntil6(s37)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3004, 5901])).
% 7.37/5.15 tff(5903,plain,
% 7.37/5.15 (until5(s38)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3082, 5902])).
% 7.37/5.15 tff(5904,plain,
% 7.37/5.15 (xuntil6(s38)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3133, 5903])).
% 7.37/5.15 tff(5905,plain,
% 7.37/5.15 (until5(s39)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3138, 5904])).
% 7.37/5.15 tff(5906,plain,
% 7.37/5.15 (xuntil6(s39)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3189, 5905])).
% 7.37/5.15 tff(5907,plain,
% 7.37/5.15 (until5(s40)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3194, 5906])).
% 7.37/5.15 tff(5908,plain,
% 7.37/5.15 (xuntil6(s40)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3245, 5907])).
% 7.37/5.15 tff(5909,plain,
% 7.37/5.15 (until5(s41)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3250, 5908])).
% 7.37/5.15 tff(5910,plain,
% 7.37/5.15 (xuntil6(s41) | node4(s41)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3300, 352, 5909])).
% 7.37/5.15 tff(5911,plain,
% 7.37/5.15 (xuntil6(s41)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5910, 5897])).
% 7.37/5.15 tff(5912,plain,
% 7.37/5.15 (until5(s42)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3306, 5911])).
% 7.37/5.15 tff(5913,plain,
% 7.37/5.15 (xuntil6(s42)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3356, 352, 5912, 5895])).
% 7.37/5.15 tff(5914,plain,
% 7.37/5.15 (until5(s43)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3362, 5913])).
% 7.37/5.15 tff(5915,plain,
% 7.37/5.15 (xuntil6(s43)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3413, 5914])).
% 7.37/5.15 tff(5916,plain,
% 7.37/5.15 (until5(s44)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3418, 5915])).
% 7.37/5.15 tff(5917,plain,
% 7.37/5.15 (xuntil6(s44)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3469, 5916])).
% 7.37/5.15 tff(5918,plain,
% 7.37/5.15 (until5(s45)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3474, 5917])).
% 7.37/5.15 tff(5919,plain,
% 7.37/5.15 (xuntil6(s45)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3525, 5918])).
% 7.37/5.15 tff(5920,plain,
% 7.37/5.15 (until5(s46)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3530, 5919])).
% 7.37/5.15 tff(5921,plain,
% 7.37/5.15 (xuntil6(s46)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3581, 5920])).
% 7.37/5.15 tff(5922,plain,
% 7.37/5.15 (until5(s47)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3586, 5921])).
% 7.37/5.15 tff(5923,plain,
% 7.37/5.15 (xuntil6(s47)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3637, 5922])).
% 7.37/5.15 tff(5924,plain,
% 7.37/5.15 (until5(s48)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3642, 5923])).
% 7.37/5.15 tff(5925,plain,
% 7.37/5.15 (xuntil6(s48)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3693, 5924])).
% 7.37/5.15 tff(5926,plain,
% 7.37/5.15 (until5(s49)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3698, 5925])).
% 7.37/5.15 tff(5927,plain,
% 7.37/5.15 (xuntil6(s49)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3749, 5926])).
% 7.37/5.15 tff(5928,plain,
% 7.37/5.15 (until5(s50)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3754, 5927])).
% 7.37/5.15 tff(5929,plain,
% 7.37/5.15 (xuntil6(s50)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3805, 5928])).
% 7.37/5.15 tff(5930,plain,
% 7.37/5.15 (until5(s51)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3810, 5929])).
% 7.37/5.15 tff(5931,plain,
% 7.37/5.15 (xuntil6(s51)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3861, 5930])).
% 7.37/5.15 tff(5932,plain,
% 7.37/5.15 (until5(s52)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3866, 5931])).
% 7.37/5.15 tff(5933,plain,
% 7.37/5.15 (~node4(s52)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3875, 16, 5884])).
% 7.37/5.15 tff(5934,plain,
% 7.37/5.15 (xuntil6(s52) | (~until5(s52))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3916, 352, 5933])).
% 7.37/5.15 tff(5935,plain,
% 7.37/5.15 (xuntil6(s52)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5934, 5932])).
% 7.37/5.15 tff(5936,plain,
% 7.37/5.15 (until5(s53)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3922, 5935])).
% 7.37/5.15 tff(5937,plain,
% 7.37/5.15 (~node4(s53)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3931, 16, 5883])).
% 7.37/5.15 tff(5938,plain,
% 7.37/5.15 (xuntil6(s53) | (~until5(s53))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3972, 352, 5937])).
% 7.37/5.15 tff(5939,plain,
% 7.37/5.15 (xuntil6(s53)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5938, 5936])).
% 7.37/5.15 tff(5940,plain,
% 7.37/5.15 (until5(s54)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[3978, 5939])).
% 7.37/5.15 tff(5941,plain,
% 7.37/5.15 (xuntil6(s54)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4029, 5940])).
% 7.37/5.15 tff(5942,plain,
% 7.37/5.15 (until5(s55)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4034, 5941])).
% 7.37/5.15 tff(5943,plain,
% 7.37/5.15 (xuntil6(s55)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4085, 5942])).
% 7.37/5.15 tff(5944,plain,
% 7.37/5.15 (until5(s56)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4090, 5943])).
% 7.37/5.15 tff(5945,plain,
% 7.37/5.15 (xuntil6(s56)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4141, 5944])).
% 7.37/5.15 tff(5946,plain,
% 7.37/5.15 (until5(s57)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4146, 5945])).
% 7.37/5.15 tff(5947,plain,
% 7.37/5.15 (~node4(s57)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4155, 16, 5879])).
% 7.37/5.15 tff(5948,plain,
% 7.37/5.15 (xuntil6(s57) | (~until5(s57))),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[4196, 352, 5947])).
% 7.37/5.15 tff(5949,plain,
% 7.37/5.15 (xuntil6(s57)),
% 7.37/5.15 inference(unit_resolution,[status(thm)],[5948, 5946])).
% 7.37/5.16 tff(5950,plain,
% 7.37/5.16 (until5(s58)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[4202, 5949])).
% 7.37/5.16 tff(5951,plain,
% 7.37/5.16 (~node4(s58)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[4211, 16, 5878])).
% 7.37/5.16 tff(5952,plain,
% 7.37/5.16 (xuntil6(s58) | (~until5(s58))),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[4252, 352, 5951])).
% 7.37/5.16 tff(5953,plain,
% 7.37/5.16 (xuntil6(s58)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5952, 5950])).
% 7.37/5.16 tff(5954,plain,
% 7.37/5.16 (until5(s59)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[4258, 5953])).
% 7.37/5.16 tff(5955,plain,
% 7.37/5.16 ($false),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[4309, 5954, 5875])).
% 7.37/5.16 tff(5956,plain,(always3(s86) | xuntil6(s86)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.16 tff(5957,plain,
% 7.37/5.16 (always3(s86)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5956, 5766])).
% 7.37/5.16 tff(5958,plain,
% 7.37/5.16 (always3(s87)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[138, 5957])).
% 7.37/5.16 tff(5959,plain,
% 7.37/5.16 (~m_main_v_state(s87, c_busy)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[145, 72, 5958])).
% 7.37/5.16 tff(5960,assumption,(until5(s86)), introduced(assumption)).
% 7.37/5.16 tff(5961,plain,
% 7.37/5.16 (xuntil6(s86) | node4(s86)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5785, 352, 5960])).
% 7.37/5.16 tff(5962,plain,
% 7.37/5.16 (node4(s86)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5961, 5766])).
% 7.37/5.16 tff(5963,plain,
% 7.37/5.16 (m_main_v_request(s86)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[122, 28, 5962])).
% 7.37/5.16 tff(5964,plain,
% 7.37/5.16 (~m_main_v_state(s86, c_ready)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[154, 5963, 5959])).
% 7.37/5.16 tff(5965,plain,
% 7.37/5.16 (~m_main_v_state(s86, c_busy)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[161, 72, 5957])).
% 7.37/5.16 tff(5966,plain,
% 7.37/5.16 ($false),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[165, 89, 5965, 5964])).
% 7.37/5.16 tff(5967,plain,(xuntil6(s86) | (~until5(s86))), inference(lemma,lemma(discharge,[]))).
% 7.37/5.16 tff(5968,plain,
% 7.37/5.16 (xuntil6(s86)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5967, 5765])).
% 7.37/5.16 tff(5969,plain,
% 7.37/5.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(5970,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(5971,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[5970, 5969])).
% 7.37/5.16 tff(5972,plain,
% 7.37/5.16 ((~xuntil6(s86)) | until5(s87)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5971, 130, 370])).
% 7.37/5.16 tff(5973,plain,
% 7.37/5.16 (until5(s87)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5972, 5968])).
% 7.37/5.16 tff(5974,assumption,(node4(s87)), introduced(assumption)).
% 7.37/5.16 tff(5975,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(5976,plain,
% 7.37/5.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s87) | (~node4(s87)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(5977,plain,
% 7.37/5.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s87) | (~node4(s87))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[5976, 5975])).
% 7.37/5.16 tff(5978,plain,
% 7.37/5.16 (m_main_v_request(s87)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5977, 28, 5974])).
% 7.37/5.16 tff(5979,plain,
% 7.37/5.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s87) | (~node4(s87)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s87) | (~node4(s87)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(5980,plain,
% 7.37/5.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s87) | (~node4(s87)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(5981,plain,
% 7.37/5.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s87) | (~node4(s87))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[5980, 5979])).
% 7.37/5.16 tff(5982,plain,
% 7.37/5.16 (always3(s87)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5981, 16, 5974])).
% 7.37/5.16 tff(5983,plain,
% 7.37/5.16 (succ(s87, s88) <=> succ(s87, s88)),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(5984,axiom,(succ(s87, s88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound88')).
% 7.37/5.16 tff(5985,plain,
% 7.37/5.16 (succ(s87, s88)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[5984, 5983])).
% 7.37/5.16 tff(5986,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(5987,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(5988,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 7.37/5.16 tff(5989,plain,
% 7.37/5.16 (trans(s87, s88)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5988, 5985, 39])).
% 7.37/5.16 tff(5990,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(5991,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s87, s88)) | (~always3(s87)) | always3(s88))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(5992,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s87, s88)) | (~always3(s87)) | always3(s88)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[5991, 5990])).
% 7.37/5.16 tff(5993,plain,
% 7.37/5.16 ((~always3(s87)) | always3(s88)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5992, 112, 5989])).
% 7.37/5.16 tff(5994,plain,
% 7.37/5.16 (always3(s88)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[5993, 5982])).
% 7.37/5.16 tff(5995,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(5996,plain,
% 7.37/5.16 (((~m_main_v_state(s88, c_busy)) | (~always3(s88))) <=> ((~always3(s88)) | (~m_main_v_state(s88, c_busy)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(5997,plain,
% 7.37/5.16 (((~![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))))),
% 7.37/5.16 inference(monotonicity,[status(thm)],[5996])).
% 7.37/5.16 tff(5998,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(transitivity,[status(thm)],[5997, 5995])).
% 7.37/5.16 tff(5999,plain,
% 7.37/5.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s88, c_busy)) | (~always3(s88)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6000,plain,
% 7.37/5.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s88)) | (~m_main_v_state(s88, c_busy))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[5999, 5998])).
% 7.37/5.16 tff(6001,plain,
% 7.37/5.16 (~m_main_v_state(s88, c_busy)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6000, 72, 5994])).
% 7.37/5.16 tff(6002,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6003,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s87, s88)) | node2(s87, s88))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6004,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s87, s88)) | node2(s87, s88)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6003, 6002])).
% 7.37/5.16 tff(6005,plain,
% 7.37/5.16 (node2(s87, s88)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6004, 7, 5989])).
% 7.37/5.16 tff(6006,plain,
% 7.37/5.16 (((~![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(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)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6007,plain,
% 7.37/5.16 ((~![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(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6008,plain,
% 7.37/5.16 ((~![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(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6007, 6006])).
% 7.37/5.16 tff(6009,plain,
% 7.37/5.16 ((~m_main_v_state(s87, c_ready)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87))),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6008, 60, 6005])).
% 7.37/5.16 tff(6010,plain,
% 7.37/5.16 (~m_main_v_state(s87, c_ready)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6009, 6001, 5978])).
% 7.37/5.16 tff(6011,plain,
% 7.37/5.16 (~m_main_v_state(s87, c_busy)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[145, 72, 5982])).
% 7.37/5.16 tff(6012,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6013,plain,
% 7.37/5.16 ((~![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))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6014,plain,
% 7.37/5.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s87, c_busy) | m_main_v_state(s87, c_ready)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 7.37/5.16 tff(6015,plain,
% 7.37/5.16 ($false),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6014, 89, 6011, 6010])).
% 7.37/5.16 tff(6016,plain,(~node4(s87)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.16 tff(6017,plain,
% 7.37/5.16 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s87) | node4(s87) | (~until5(s87)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s87) | node4(s87) | (~until5(s87)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6018,plain,
% 7.37/5.16 ((node4(s87) | (~until5(s87)) | xuntil6(s87)) <=> (xuntil6(s87) | node4(s87) | (~until5(s87)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6019,plain,
% 7.37/5.16 (((~![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))))),
% 7.37/5.16 inference(monotonicity,[status(thm)],[6018])).
% 7.37/5.16 tff(6020,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(transitivity,[status(thm)],[6019, 6017])).
% 7.37/5.16 tff(6021,plain,
% 7.37/5.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s87) | (~until5(s87)) | xuntil6(s87))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6022,plain,
% 7.37/5.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s87) | node4(s87) | (~until5(s87))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6021, 6020])).
% 7.37/5.16 tff(6023,plain,
% 7.37/5.16 (xuntil6(s87) | (~until5(s87))),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6022, 352, 6016])).
% 7.37/5.16 tff(6024,plain,
% 7.37/5.16 (xuntil6(s87)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6023, 5973])).
% 7.37/5.16 tff(6025,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6026,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6027,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 7.37/5.16 tff(6028,plain,
% 7.37/5.16 ((~xuntil6(s87)) | until5(s88)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6027, 5985, 370])).
% 7.37/5.16 tff(6029,plain,
% 7.37/5.16 (until5(s88)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6028, 6024])).
% 7.37/5.16 tff(6030,assumption,(node4(s88)), introduced(assumption)).
% 7.37/5.16 tff(6031,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6032,plain,
% 7.37/5.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s88) | (~node4(s88)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6033,plain,
% 7.37/5.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s88) | (~node4(s88))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6032, 6031])).
% 7.37/5.16 tff(6034,plain,
% 7.37/5.16 (m_main_v_request(s88)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6033, 28, 6030])).
% 7.37/5.16 tff(6035,plain,
% 7.37/5.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6036,plain,
% 7.37/5.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6037,plain,
% 7.37/5.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6036, 6035])).
% 7.37/5.16 tff(6038,plain,
% 7.37/5.16 (always3(s88)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6037, 16, 6030])).
% 7.37/5.16 tff(6039,plain,
% 7.37/5.16 (succ(s88, s89) <=> succ(s88, s89)),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6040,axiom,(succ(s88, s89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound89')).
% 7.37/5.16 tff(6041,plain,
% 7.37/5.16 (succ(s88, s89)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6040, 6039])).
% 7.37/5.16 tff(6042,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6043,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6044,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6043, 6042])).
% 7.37/5.16 tff(6045,plain,
% 7.37/5.16 (trans(s88, s89)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6044, 6041, 39])).
% 7.37/5.16 tff(6046,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6047,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s88, s89)) | (~always3(s88)) | always3(s89))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6048,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s88, s89)) | (~always3(s88)) | always3(s89)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6047, 6046])).
% 7.37/5.16 tff(6049,plain,
% 7.37/5.16 ((~always3(s88)) | always3(s89)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6048, 112, 6045])).
% 7.37/5.16 tff(6050,plain,
% 7.37/5.16 (always3(s89)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6049, 6038])).
% 7.37/5.16 tff(6051,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6052,plain,
% 7.37/5.16 (((~m_main_v_state(s89, c_busy)) | (~always3(s89))) <=> ((~always3(s89)) | (~m_main_v_state(s89, c_busy)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6053,plain,
% 7.37/5.16 (((~![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))))),
% 7.37/5.16 inference(monotonicity,[status(thm)],[6052])).
% 7.37/5.16 tff(6054,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(transitivity,[status(thm)],[6053, 6051])).
% 7.37/5.16 tff(6055,plain,
% 7.37/5.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s89, c_busy)) | (~always3(s89)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6056,plain,
% 7.37/5.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s89)) | (~m_main_v_state(s89, c_busy))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6055, 6054])).
% 7.37/5.16 tff(6057,plain,
% 7.37/5.16 (~m_main_v_state(s89, c_busy)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6056, 72, 6050])).
% 7.37/5.16 tff(6058,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6059,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s88, s89)) | node2(s88, s89))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6060,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s88, s89)) | node2(s88, s89)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6059, 6058])).
% 7.37/5.16 tff(6061,plain,
% 7.37/5.16 (node2(s88, s89)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6060, 7, 6045])).
% 7.37/5.16 tff(6062,plain,
% 7.37/5.16 (((~![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(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)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6063,plain,
% 7.37/5.16 ((~![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(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6064,plain,
% 7.37/5.16 ((~![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(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6063, 6062])).
% 7.37/5.16 tff(6065,plain,
% 7.37/5.16 ((~m_main_v_state(s88, c_ready)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88))),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6064, 60, 6061])).
% 7.37/5.16 tff(6066,plain,
% 7.37/5.16 (~m_main_v_state(s88, c_ready)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6065, 6057, 6034])).
% 7.37/5.16 tff(6067,plain,
% 7.37/5.16 (~m_main_v_state(s88, c_busy)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6000, 72, 6038])).
% 7.37/5.16 tff(6068,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6069,plain,
% 7.37/5.16 ((~![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))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6070,plain,
% 7.37/5.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s88, c_busy) | m_main_v_state(s88, c_ready)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 7.37/5.16 tff(6071,plain,
% 7.37/5.16 ($false),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6070, 89, 6067, 6066])).
% 7.37/5.16 tff(6072,plain,(~node4(s88)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.16 tff(6073,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6074,plain,
% 7.37/5.16 ((node4(s88) | (~until5(s88)) | xuntil6(s88)) <=> (xuntil6(s88) | node4(s88) | (~until5(s88)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6075,plain,
% 7.37/5.16 (((~![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))))),
% 7.37/5.16 inference(monotonicity,[status(thm)],[6074])).
% 7.37/5.16 tff(6076,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(transitivity,[status(thm)],[6075, 6073])).
% 7.37/5.16 tff(6077,plain,
% 7.37/5.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s88) | (~until5(s88)) | xuntil6(s88))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6078,plain,
% 7.37/5.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s88) | node4(s88) | (~until5(s88))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6077, 6076])).
% 7.37/5.16 tff(6079,plain,
% 7.37/5.16 (xuntil6(s88) | (~until5(s88))),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6078, 352, 6072])).
% 7.37/5.16 tff(6080,plain,
% 7.37/5.16 (xuntil6(s88)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6079, 6029])).
% 7.37/5.16 tff(6081,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6082,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6083,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6082, 6081])).
% 7.37/5.16 tff(6084,plain,
% 7.37/5.16 ((~xuntil6(s88)) | until5(s89)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6083, 6041, 370])).
% 7.37/5.16 tff(6085,plain,
% 7.37/5.16 (until5(s89)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6084, 6080])).
% 7.37/5.16 tff(6086,assumption,(node4(s89)), introduced(assumption)).
% 7.37/5.16 tff(6087,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6088,plain,
% 7.37/5.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s89) | (~node4(s89)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6089,plain,
% 7.37/5.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s89) | (~node4(s89))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6088, 6087])).
% 7.37/5.16 tff(6090,plain,
% 7.37/5.16 (m_main_v_request(s89)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6089, 28, 6086])).
% 7.37/5.16 tff(6091,plain,
% 7.37/5.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6092,plain,
% 7.37/5.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6093,plain,
% 7.37/5.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 7.37/5.16 tff(6094,plain,
% 7.37/5.16 (always3(s89)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6093, 16, 6086])).
% 7.37/5.16 tff(6095,plain,
% 7.37/5.16 (succ(s89, s90) <=> succ(s89, s90)),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6096,axiom,(succ(s89, s90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound90')).
% 7.37/5.16 tff(6097,plain,
% 7.37/5.16 (succ(s89, s90)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6096, 6095])).
% 7.37/5.16 tff(6098,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6099,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6100,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6099, 6098])).
% 7.37/5.16 tff(6101,plain,
% 7.37/5.16 (trans(s89, s90)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6100, 6097, 39])).
% 7.37/5.16 tff(6102,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6103,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s89, s90)) | (~always3(s89)) | always3(s90))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6104,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s89, s90)) | (~always3(s89)) | always3(s90)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6103, 6102])).
% 7.37/5.16 tff(6105,plain,
% 7.37/5.16 ((~always3(s89)) | always3(s90)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6104, 112, 6101])).
% 7.37/5.16 tff(6106,plain,
% 7.37/5.16 (always3(s90)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6105, 6094])).
% 7.37/5.16 tff(6107,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6108,plain,
% 7.37/5.16 (((~m_main_v_state(s90, c_busy)) | (~always3(s90))) <=> ((~always3(s90)) | (~m_main_v_state(s90, c_busy)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6109,plain,
% 7.37/5.16 (((~![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))))),
% 7.37/5.16 inference(monotonicity,[status(thm)],[6108])).
% 7.37/5.16 tff(6110,plain,
% 7.37/5.16 (((~![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)))),
% 7.37/5.16 inference(transitivity,[status(thm)],[6109, 6107])).
% 7.37/5.16 tff(6111,plain,
% 7.37/5.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s90, c_busy)) | (~always3(s90)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6112,plain,
% 7.37/5.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s90)) | (~m_main_v_state(s90, c_busy))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6111, 6110])).
% 7.37/5.16 tff(6113,plain,
% 7.37/5.16 (~m_main_v_state(s90, c_busy)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6112, 72, 6106])).
% 7.37/5.16 tff(6114,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6115,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s89, s90)) | node2(s89, s90))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6116,plain,
% 7.37/5.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s89, s90)) | node2(s89, s90)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6115, 6114])).
% 7.37/5.16 tff(6117,plain,
% 7.37/5.16 (node2(s89, s90)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6116, 7, 6101])).
% 7.37/5.16 tff(6118,plain,
% 7.37/5.16 (((~![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(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)))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6119,plain,
% 7.37/5.16 ((~![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(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89)))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6120,plain,
% 7.37/5.16 ((~![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(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89))),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6119, 6118])).
% 7.37/5.16 tff(6121,plain,
% 7.37/5.16 ((~m_main_v_state(s89, c_ready)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89))),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6120, 60, 6117])).
% 7.37/5.16 tff(6122,plain,
% 7.37/5.16 (~m_main_v_state(s89, c_ready)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6121, 6113, 6090])).
% 7.37/5.16 tff(6123,plain,
% 7.37/5.16 (~m_main_v_state(s89, c_busy)),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6056, 72, 6094])).
% 7.37/5.16 tff(6124,plain,
% 7.37/5.16 (((~![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))),
% 7.37/5.16 inference(rewrite,[status(thm)],[])).
% 7.37/5.16 tff(6125,plain,
% 7.37/5.16 ((~![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))),
% 7.37/5.16 inference(quant_inst,[status(thm)],[])).
% 7.37/5.16 tff(6126,plain,
% 7.37/5.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready)),
% 7.37/5.16 inference(modus_ponens,[status(thm)],[6125, 6124])).
% 7.37/5.16 tff(6127,plain,
% 7.37/5.16 ($false),
% 7.37/5.16 inference(unit_resolution,[status(thm)],[6126, 89, 6123, 6122])).
% 7.37/5.17 tff(6128,plain,(~node4(s89)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.17 tff(6129,plain,
% 7.37/5.17 (((~![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)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6130,plain,
% 7.37/5.17 ((node4(s89) | (~until5(s89)) | xuntil6(s89)) <=> (xuntil6(s89) | node4(s89) | (~until5(s89)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6131,plain,
% 7.37/5.17 (((~![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))))),
% 7.37/5.17 inference(monotonicity,[status(thm)],[6130])).
% 7.37/5.17 tff(6132,plain,
% 7.37/5.17 (((~![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)))),
% 7.37/5.17 inference(transitivity,[status(thm)],[6131, 6129])).
% 7.37/5.17 tff(6133,plain,
% 7.37/5.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s89) | (~until5(s89)) | xuntil6(s89))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6134,plain,
% 7.37/5.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s89) | node4(s89) | (~until5(s89))),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6133, 6132])).
% 7.37/5.17 tff(6135,plain,
% 7.37/5.17 (xuntil6(s89) | (~until5(s89))),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6134, 352, 6128])).
% 7.37/5.17 tff(6136,plain,
% 7.37/5.17 (xuntil6(s89)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6135, 6085])).
% 7.37/5.17 tff(6137,plain,
% 7.37/5.17 (((~![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))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6138,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6139,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90)),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6138, 6137])).
% 7.37/5.17 tff(6140,plain,
% 7.37/5.17 ((~xuntil6(s89)) | until5(s90)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6139, 6097, 370])).
% 7.37/5.17 tff(6141,plain,
% 7.37/5.17 (until5(s90)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6140, 6136])).
% 7.37/5.17 tff(6142,assumption,(node4(s92)), introduced(assumption)).
% 7.37/5.17 tff(6143,assumption,(m_main_v_request(s92)), introduced(assumption)).
% 7.37/5.17 tff(6144,plain,
% 7.37/5.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s92) | (~node4(s92)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6145,plain,
% 7.37/5.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s92) | (~node4(s92)))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6146,plain,
% 7.37/5.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92))),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6145, 6144])).
% 7.37/5.17 tff(6147,plain,
% 7.37/5.17 (always3(s92)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6146, 16, 6142])).
% 7.37/5.17 tff(6148,plain,
% 7.37/5.17 (succ(s92, s93) <=> succ(s92, s93)),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6149,axiom,(succ(s92, s93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound93')).
% 7.37/5.17 tff(6150,plain,
% 7.37/5.17 (succ(s92, s93)),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 7.37/5.17 tff(6151,plain,
% 7.37/5.17 (((~![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))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6152,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6153,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6152, 6151])).
% 7.37/5.17 tff(6154,plain,
% 7.37/5.17 (trans(s92, s93)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6153, 6150, 39])).
% 7.37/5.17 tff(6155,plain,
% 7.37/5.17 (((~![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))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6156,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s92, s93)) | (~always3(s92)) | always3(s93))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6157,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s92, s93)) | (~always3(s92)) | always3(s93)),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6156, 6155])).
% 7.37/5.17 tff(6158,plain,
% 7.37/5.17 ((~always3(s92)) | always3(s93)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6157, 112, 6154])).
% 7.37/5.17 tff(6159,plain,
% 7.37/5.17 (always3(s93)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6158, 6147])).
% 7.37/5.17 tff(6160,plain,
% 7.37/5.17 (((~![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)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6161,plain,
% 7.37/5.17 (((~m_main_v_state(s93, c_busy)) | (~always3(s93))) <=> ((~always3(s93)) | (~m_main_v_state(s93, c_busy)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6162,plain,
% 7.37/5.17 (((~![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))))),
% 7.37/5.17 inference(monotonicity,[status(thm)],[6161])).
% 7.37/5.17 tff(6163,plain,
% 7.37/5.17 (((~![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)))),
% 7.37/5.17 inference(transitivity,[status(thm)],[6162, 6160])).
% 7.37/5.17 tff(6164,plain,
% 7.37/5.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s93, c_busy)) | (~always3(s93)))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6165,plain,
% 7.37/5.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s93)) | (~m_main_v_state(s93, c_busy))),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6164, 6163])).
% 7.37/5.17 tff(6166,plain,
% 7.37/5.17 (~m_main_v_state(s93, c_busy)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6165, 72, 6159])).
% 7.37/5.17 tff(6167,plain,
% 7.37/5.17 (((~![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))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6168,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s92, s93)) | node2(s92, s93))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6169,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s92, s93)) | node2(s92, s93)),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6168, 6167])).
% 7.37/5.17 tff(6170,plain,
% 7.37/5.17 (node2(s92, s93)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6169, 7, 6154])).
% 7.37/5.17 tff(6171,plain,
% 7.37/5.17 (((~![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(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)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6172,plain,
% 7.37/5.17 ((~![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(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92)))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6173,plain,
% 7.37/5.17 ((~![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(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92))),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6172, 6171])).
% 7.37/5.17 tff(6174,plain,
% 7.37/5.17 ((~m_main_v_state(s92, c_ready)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92))),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6173, 60, 6170])).
% 7.37/5.17 tff(6175,plain,
% 7.37/5.17 (~m_main_v_state(s92, c_ready)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6174, 6166, 6143])).
% 7.37/5.17 tff(6176,plain,
% 7.37/5.17 (((~![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)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6177,plain,
% 7.37/5.17 (((~m_main_v_state(s92, c_busy)) | (~always3(s92))) <=> ((~always3(s92)) | (~m_main_v_state(s92, c_busy)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6178,plain,
% 7.37/5.17 (((~![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))))),
% 7.37/5.17 inference(monotonicity,[status(thm)],[6177])).
% 7.37/5.17 tff(6179,plain,
% 7.37/5.17 (((~![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)))),
% 7.37/5.17 inference(transitivity,[status(thm)],[6178, 6176])).
% 7.37/5.17 tff(6180,plain,
% 7.37/5.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s92, c_busy)) | (~always3(s92)))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6181,plain,
% 7.37/5.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s92)) | (~m_main_v_state(s92, c_busy))),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6180, 6179])).
% 7.37/5.17 tff(6182,plain,
% 7.37/5.17 (~m_main_v_state(s92, c_busy)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6181, 72, 6147])).
% 7.37/5.17 tff(6183,plain,
% 7.37/5.17 (((~![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))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6184,plain,
% 7.37/5.17 ((~![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))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6185,plain,
% 7.37/5.17 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s92, c_busy) | m_main_v_state(s92, c_ready)),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6184, 6183])).
% 7.37/5.17 tff(6186,plain,
% 7.37/5.17 ($false),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6185, 89, 6182, 6175])).
% 7.37/5.17 tff(6187,plain,((~m_main_v_request(s92)) | (~node4(s92))), inference(lemma,lemma(discharge,[]))).
% 7.37/5.17 tff(6188,plain,
% 7.37/5.17 (~m_main_v_request(s92)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6187, 6142])).
% 7.37/5.17 tff(6189,plain,
% 7.37/5.17 (((~![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)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6190,plain,
% 7.37/5.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s92) | (~node4(s92)))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6191,plain,
% 7.37/5.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s92) | (~node4(s92))),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 7.37/5.17 tff(6192,plain,
% 7.37/5.17 ($false),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6191, 28, 6188, 6142])).
% 7.37/5.17 tff(6193,plain,(~node4(s92)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.17 tff(6194,assumption,(~node4(s92)), introduced(assumption)).
% 7.37/5.17 tff(6195,assumption,(~xuntil6(s92)), introduced(assumption)).
% 7.37/5.17 tff(6196,plain,
% 7.37/5.17 (((~![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)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6197,plain,
% 7.37/5.17 ((node4(s92) | (~until5(s92)) | xuntil6(s92)) <=> (xuntil6(s92) | node4(s92) | (~until5(s92)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6198,plain,
% 7.37/5.17 (((~![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))))),
% 7.37/5.17 inference(monotonicity,[status(thm)],[6197])).
% 7.37/5.17 tff(6199,plain,
% 7.37/5.17 (((~![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)))),
% 7.37/5.17 inference(transitivity,[status(thm)],[6198, 6196])).
% 7.37/5.17 tff(6200,plain,
% 7.37/5.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s92) | (~until5(s92)) | xuntil6(s92))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6201,plain,
% 7.37/5.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s92) | node4(s92) | (~until5(s92))),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6200, 6199])).
% 7.37/5.17 tff(6202,plain,
% 7.37/5.17 (~until5(s92)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6201, 352, 6195, 6194])).
% 7.37/5.17 tff(6203,plain,
% 7.37/5.17 (succ(s91, s92) <=> succ(s91, s92)),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6204,axiom,(succ(s91, s92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound92')).
% 7.37/5.17 tff(6205,plain,
% 7.37/5.17 (succ(s91, s92)),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6204, 6203])).
% 7.37/5.17 tff(6206,plain,
% 7.37/5.17 (((~![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))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6207,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6208,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92)),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6207, 6206])).
% 7.37/5.17 tff(6209,plain,
% 7.37/5.17 ((~xuntil6(s91)) | until5(s92)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6208, 6205, 370])).
% 7.37/5.17 tff(6210,plain,
% 7.37/5.17 (~xuntil6(s91)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6209, 6202])).
% 7.37/5.17 tff(6211,assumption,(~always3(s91)), introduced(assumption)).
% 7.37/5.17 tff(6212,plain,
% 7.37/5.17 (succ(s90, s91) <=> succ(s90, s91)),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6213,axiom,(succ(s90, s91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound91')).
% 7.37/5.17 tff(6214,plain,
% 7.37/5.17 (succ(s90, s91)),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6213, 6212])).
% 7.37/5.17 tff(6215,plain,
% 7.37/5.17 (((~![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))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6216,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6217,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6216, 6215])).
% 7.37/5.17 tff(6218,plain,
% 7.37/5.17 (trans(s90, s91)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6217, 6214, 39])).
% 7.37/5.17 tff(6219,plain,
% 7.37/5.17 (((~![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))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6220,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s90, s91)) | (~always3(s90)) | always3(s91))),
% 7.37/5.17 inference(quant_inst,[status(thm)],[])).
% 7.37/5.17 tff(6221,plain,
% 7.37/5.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s90, s91)) | (~always3(s90)) | always3(s91)),
% 7.37/5.17 inference(modus_ponens,[status(thm)],[6220, 6219])).
% 7.37/5.17 tff(6222,plain,
% 7.37/5.17 ((~always3(s90)) | always3(s91)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6221, 112, 6218])).
% 7.37/5.17 tff(6223,plain,
% 7.37/5.17 (~always3(s90)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6222, 6211])).
% 7.37/5.17 tff(6224,plain,
% 7.37/5.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s90) | (~node4(s90)))),
% 7.37/5.17 inference(rewrite,[status(thm)],[])).
% 7.37/5.17 tff(6225,plain,
% 7.37/5.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))),
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% 7.37/5.17 tff(6330,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[5063, 6325])).
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% 7.37/5.17 tff(6335,plain,
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% 7.37/5.17 tff(6338,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[6337, 6334])).
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% 7.37/5.17 tff(6340,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[4930, 6343])).
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% 7.37/5.17 tff(6348,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[6347, 6344])).
% 7.37/5.17 tff(6349,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[4874, 6348])).
% 7.37/5.17 tff(6350,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[4839, 6345])).
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% 7.37/5.17 tff(6353,plain,
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% 7.37/5.17 tff(6354,plain,
% 7.37/5.17 (~xuntil6(s68)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4818, 6353])).
% 7.37/5.17 tff(6355,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[4783, 6350])).
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[4812, 352, 6356])).
% 7.37/5.17 tff(6358,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[6357, 6354])).
% 7.37/5.17 tff(6359,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[4762, 6358])).
% 7.37/5.17 tff(6360,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[4727, 6355])).
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% 7.37/5.17 tff(6363,plain,
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% 7.37/5.17 tff(6364,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[4706, 6363])).
% 7.37/5.17 tff(6365,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[4671, 6360])).
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% 7.37/5.17 tff(6368,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[6367, 6364])).
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[4650, 6368])).
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% 7.37/5.17 tff(6405,plain,
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% 7.37/5.17 tff(6407,plain,
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% 7.37/5.17 tff(6408,plain,
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% 7.37/5.17 tff(6409,plain,
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% 7.37/5.17 tff(6410,plain,
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% 7.37/5.17 tff(6411,plain,
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% 7.37/5.17 tff(6412,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[6411, 6409])).
% 7.37/5.17 tff(6413,plain,
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% 7.37/5.17 tff(6414,plain,
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% 7.37/5.17 tff(6415,plain,
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% 7.37/5.17 tff(6416,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[6415, 6413])).
% 7.37/5.17 tff(6417,plain,
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% 7.37/5.17 tff(6418,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[3315, 16, 6396])).
% 7.37/5.17 tff(6419,plain,
% 7.37/5.17 (xuntil6(s42) | (~until5(s42))),
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% 7.37/5.17 tff(6420,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[6419, 6417])).
% 7.37/5.17 tff(6421,plain,
% 7.37/5.17 (until5(s43)),
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% 7.37/5.17 tff(6422,plain,
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% 7.37/5.17 tff(6423,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[3412, 352, 6422])).
% 7.37/5.17 tff(6424,plain,
% 7.37/5.17 (xuntil6(s43)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6423, 6421])).
% 7.37/5.17 tff(6425,plain,
% 7.37/5.17 (until5(s44)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[3418, 6424])).
% 7.37/5.17 tff(6426,plain,
% 7.37/5.17 (xuntil6(s44)),
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% 7.37/5.17 tff(6427,plain,
% 7.37/5.17 (until5(s45)),
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% 7.37/5.17 tff(6428,plain,
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% 7.37/5.17 tff(6429,plain,
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% 7.37/5.17 tff(6430,plain,
% 7.37/5.17 (xuntil6(s45)),
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% 7.37/5.17 tff(6431,plain,
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% 7.37/5.17 tff(6432,plain,
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% 7.37/5.17 tff(6434,plain,
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% 7.37/5.17 tff(6436,plain,
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% 7.37/5.17 tff(6437,plain,
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% 7.37/5.17 tff(6438,plain,
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% 7.37/5.17 tff(6442,plain,
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% 7.37/5.17 tff(6443,plain,
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% 7.37/5.17 tff(6444,plain,
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% 7.37/5.17 tff(6445,plain,
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% 7.37/5.17 tff(6447,plain,
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% 7.37/5.17 tff(6448,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[6447, 6445])).
% 7.37/5.17 tff(6449,plain,
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% 7.37/5.17 tff(6450,plain,
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% 7.37/5.17 tff(6451,plain,
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% 7.37/5.17 inference(unit_resolution,[status(thm)],[3916, 352, 6450])).
% 7.37/5.17 tff(6452,plain,
% 7.37/5.17 (xuntil6(s52)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6451, 6449])).
% 7.37/5.17 tff(6453,plain,
% 7.37/5.17 (until5(s53)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[3922, 6452])).
% 7.37/5.17 tff(6454,plain,
% 7.37/5.17 (~node4(s53)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[3931, 16, 6385])).
% 7.37/5.17 tff(6455,plain,
% 7.37/5.17 (xuntil6(s53) | (~until5(s53))),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[3972, 352, 6454])).
% 7.37/5.17 tff(6456,plain,
% 7.37/5.17 (xuntil6(s53)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6455, 6453])).
% 7.37/5.17 tff(6457,plain,
% 7.37/5.17 (until5(s54)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[3978, 6456])).
% 7.37/5.17 tff(6458,plain,
% 7.37/5.17 (~node4(s54)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[3987, 16, 6384])).
% 7.37/5.17 tff(6459,plain,
% 7.37/5.17 (xuntil6(s54) | (~until5(s54))),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4028, 352, 6458])).
% 7.37/5.17 tff(6460,plain,
% 7.37/5.17 (xuntil6(s54)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6459, 6457])).
% 7.37/5.17 tff(6461,plain,
% 7.37/5.17 (until5(s55)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4034, 6460])).
% 7.37/5.17 tff(6462,plain,
% 7.37/5.17 (~node4(s55)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4043, 16, 6383])).
% 7.37/5.17 tff(6463,plain,
% 7.37/5.17 (xuntil6(s55) | (~until5(s55))),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4084, 352, 6462])).
% 7.37/5.17 tff(6464,plain,
% 7.37/5.17 (xuntil6(s55)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6463, 6461])).
% 7.37/5.17 tff(6465,plain,
% 7.37/5.17 (until5(s56)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4090, 6464])).
% 7.37/5.17 tff(6466,plain,
% 7.37/5.17 (~node4(s56)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4099, 16, 6382])).
% 7.37/5.17 tff(6467,plain,
% 7.37/5.17 (xuntil6(s56) | (~until5(s56))),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4140, 352, 6466])).
% 7.37/5.17 tff(6468,plain,
% 7.37/5.17 (xuntil6(s56)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6467, 6465])).
% 7.37/5.17 tff(6469,plain,
% 7.37/5.17 (until5(s57)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4146, 6468])).
% 7.37/5.17 tff(6470,plain,
% 7.37/5.17 (~node4(s57)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4155, 16, 6381])).
% 7.37/5.17 tff(6471,plain,
% 7.37/5.17 (xuntil6(s57) | (~until5(s57))),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4196, 352, 6470])).
% 7.37/5.17 tff(6472,plain,
% 7.37/5.17 (xuntil6(s57)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6471, 6469])).
% 7.37/5.17 tff(6473,plain,
% 7.37/5.17 (until5(s58)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4202, 6472])).
% 7.37/5.17 tff(6474,plain,
% 7.37/5.17 (~node4(s58)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4211, 16, 6380])).
% 7.37/5.17 tff(6475,plain,
% 7.37/5.17 (xuntil6(s58) | (~until5(s58))),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4252, 352, 6474])).
% 7.37/5.17 tff(6476,plain,
% 7.37/5.17 (xuntil6(s58)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[6475, 6473])).
% 7.37/5.17 tff(6477,plain,
% 7.37/5.17 (until5(s59)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4258, 6476])).
% 7.37/5.17 tff(6478,plain,
% 7.37/5.17 (~node4(s59)),
% 7.37/5.17 inference(unit_resolution,[status(thm)],[4267, 16, 6379])).
% 7.37/5.17 tff(6479,plain,
% 7.37/5.18 (xuntil6(s59) | (~until5(s59))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4308, 352, 6478])).
% 7.37/5.18 tff(6480,plain,
% 7.37/5.18 (xuntil6(s59)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6479, 6477])).
% 7.37/5.18 tff(6481,plain,
% 7.37/5.18 (until5(s60)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4314, 6480])).
% 7.37/5.18 tff(6482,plain,
% 7.37/5.18 (~node4(s60)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4323, 16, 6378])).
% 7.37/5.18 tff(6483,plain,
% 7.37/5.18 (xuntil6(s60) | (~until5(s60))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4364, 352, 6482])).
% 7.37/5.18 tff(6484,plain,
% 7.37/5.18 (xuntil6(s60)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6483, 6481])).
% 7.37/5.18 tff(6485,plain,
% 7.37/5.18 (until5(s61)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4370, 6484])).
% 7.37/5.18 tff(6486,plain,
% 7.37/5.18 (~node4(s61)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4379, 16, 6377])).
% 7.37/5.18 tff(6487,plain,
% 7.37/5.18 (xuntil6(s61) | (~until5(s61))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4420, 352, 6486])).
% 7.37/5.18 tff(6488,plain,
% 7.37/5.18 (xuntil6(s61)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6487, 6485])).
% 7.37/5.18 tff(6489,plain,
% 7.37/5.18 (until5(s62)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4426, 6488])).
% 7.37/5.18 tff(6490,plain,
% 7.37/5.18 (~node4(s62)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4435, 16, 6376])).
% 7.37/5.18 tff(6491,plain,
% 7.37/5.18 (xuntil6(s62) | (~until5(s62))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4476, 352, 6490])).
% 7.37/5.18 tff(6492,plain,
% 7.37/5.18 (xuntil6(s62)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6491, 6489])).
% 7.37/5.18 tff(6493,plain,
% 7.37/5.18 (until5(s63)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4482, 6492])).
% 7.37/5.18 tff(6494,plain,
% 7.37/5.18 (~node4(s63)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4491, 16, 6375])).
% 7.37/5.18 tff(6495,plain,
% 7.37/5.18 (xuntil6(s63) | (~until5(s63))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4532, 352, 6494])).
% 7.37/5.18 tff(6496,plain,
% 7.37/5.18 (xuntil6(s63)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6495, 6493])).
% 7.37/5.18 tff(6497,plain,
% 7.37/5.18 (until5(s64)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4538, 6496])).
% 7.37/5.18 tff(6498,plain,
% 7.37/5.18 (~node4(s64)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4547, 16, 6374])).
% 7.37/5.18 tff(6499,plain,
% 7.37/5.18 (xuntil6(s64) | (~until5(s64))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4588, 352, 6498])).
% 7.37/5.18 tff(6500,plain,
% 7.37/5.18 (xuntil6(s64)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6499, 6497])).
% 7.37/5.18 tff(6501,plain,
% 7.37/5.18 ($false),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[4594, 6500, 6373])).
% 7.37/5.18 tff(6502,plain,(always3(s91) | xuntil6(s91)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.18 tff(6503,plain,
% 7.37/5.18 (always3(s91)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6502, 6210])).
% 7.37/5.18 tff(6504,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6505,plain,
% 7.37/5.18 (((~m_main_v_state(s91, c_busy)) | (~always3(s91))) <=> ((~always3(s91)) | (~m_main_v_state(s91, c_busy)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6506,plain,
% 7.37/5.18 (((~![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))))),
% 7.37/5.18 inference(monotonicity,[status(thm)],[6505])).
% 7.37/5.18 tff(6507,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(transitivity,[status(thm)],[6506, 6504])).
% 7.37/5.18 tff(6508,plain,
% 7.37/5.18 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s91, c_busy)) | (~always3(s91)))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6509,plain,
% 7.37/5.18 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s91)) | (~m_main_v_state(s91, c_busy))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 7.37/5.18 tff(6510,plain,
% 7.37/5.18 (~m_main_v_state(s91, c_busy)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6509, 72, 6503])).
% 7.37/5.18 tff(6511,assumption,(~always3(s92)), introduced(assumption)).
% 7.37/5.18 tff(6512,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6513,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6514,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6513, 6512])).
% 7.37/5.18 tff(6515,plain,
% 7.37/5.18 (trans(s91, s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6514, 6205, 39])).
% 7.37/5.18 tff(6516,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6517,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s91, s92)) | (~always3(s91)) | always3(s92))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6518,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s91, s92)) | (~always3(s91)) | always3(s92)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6517, 6516])).
% 7.37/5.18 tff(6519,plain,
% 7.37/5.18 ((~always3(s91)) | always3(s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6518, 112, 6515])).
% 7.37/5.18 tff(6520,plain,
% 7.37/5.18 (~always3(s91)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6519, 6511])).
% 7.37/5.18 tff(6521,plain,
% 7.37/5.18 (xuntil6(s91)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6502, 6520])).
% 7.37/5.18 tff(6522,plain,
% 7.37/5.18 (until5(s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6209, 6521])).
% 7.37/5.18 tff(6523,plain,
% 7.37/5.18 (node4(s92) | (~until5(s92))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6201, 352, 6195])).
% 7.37/5.18 tff(6524,plain,
% 7.37/5.18 (node4(s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6523, 6522])).
% 7.37/5.18 tff(6525,plain,
% 7.37/5.18 ($false),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6146, 16, 6511, 6524])).
% 7.37/5.18 tff(6526,plain,(always3(s92) | xuntil6(s92)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.18 tff(6527,plain,
% 7.37/5.18 (always3(s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6526, 6195])).
% 7.37/5.18 tff(6528,plain,
% 7.37/5.18 (~m_main_v_state(s92, c_busy)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6181, 72, 6527])).
% 7.37/5.18 tff(6529,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6530,plain,
% 7.37/5.18 ((~![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))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6531,plain,
% 7.37/5.18 ((~![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)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6530, 6529])).
% 7.37/5.18 tff(6532,plain,
% 7.37/5.18 (m_main_v_state(s91, c_ready)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6531, 89, 6510])).
% 7.37/5.18 tff(6533,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6534,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s91, s92)) | node2(s91, s92))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6535,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s91, s92)) | node2(s91, s92)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6534, 6533])).
% 7.37/5.18 tff(6536,plain,
% 7.37/5.18 (node2(s91, s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6535, 7, 6515])).
% 7.37/5.18 tff(6537,plain,
% 7.37/5.18 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6538,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6539,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 7.37/5.18 tff(6540,plain,
% 7.37/5.18 ((~m_main_v_state(s91, c_ready)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6539, 60, 6536])).
% 7.37/5.18 tff(6541,plain,
% 7.37/5.18 (~m_main_v_request(s91)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6540, 6532, 6528])).
% 7.37/5.18 tff(6542,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6543,plain,
% 7.37/5.18 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s91) | (~node4(s91)))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6544,plain,
% 7.37/5.18 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s91) | (~node4(s91))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 7.37/5.18 tff(6545,plain,
% 7.37/5.18 (~node4(s91)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6544, 28, 6541])).
% 7.37/5.18 tff(6546,plain,
% 7.37/5.18 (node4(s91) | (~until5(s91))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6238, 352, 6210])).
% 7.37/5.18 tff(6547,plain,
% 7.37/5.18 (~until5(s91)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6546, 6545])).
% 7.37/5.18 tff(6548,plain,
% 7.37/5.18 (~xuntil6(s90)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6244, 6547])).
% 7.37/5.18 tff(6549,assumption,(until5(s90)), introduced(assumption)).
% 7.37/5.18 tff(6550,plain,
% 7.37/5.18 (xuntil6(s90) | node4(s90)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6251, 352, 6549])).
% 7.37/5.18 tff(6551,plain,
% 7.37/5.18 (node4(s90)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6550, 6548])).
% 7.37/5.18 tff(6552,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6553,plain,
% 7.37/5.18 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s90) | (~node4(s90)))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6554,plain,
% 7.37/5.18 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s90) | (~node4(s90))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6553, 6552])).
% 7.37/5.18 tff(6555,plain,
% 7.37/5.18 (m_main_v_request(s90)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6554, 28, 6551])).
% 7.37/5.18 tff(6556,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6557,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s90, s91)) | node2(s90, s91))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6558,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s90, s91)) | node2(s90, s91)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6557, 6556])).
% 7.37/5.18 tff(6559,plain,
% 7.37/5.18 (node2(s90, s91)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6558, 7, 6218])).
% 7.37/5.18 tff(6560,plain,
% 7.37/5.18 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6561,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6562,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6561, 6560])).
% 7.37/5.18 tff(6563,plain,
% 7.37/5.18 ((~m_main_v_state(s90, c_ready)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6562, 60, 6559])).
% 7.37/5.18 tff(6564,plain,
% 7.37/5.18 (~m_main_v_state(s90, c_ready)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6563, 6555, 6510])).
% 7.37/5.18 tff(6565,plain,
% 7.37/5.18 (always3(s90)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6226, 16, 6551])).
% 7.37/5.18 tff(6566,plain,
% 7.37/5.18 (~m_main_v_state(s90, c_busy)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6112, 72, 6565])).
% 7.37/5.18 tff(6567,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6568,plain,
% 7.37/5.18 ((~![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))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6569,plain,
% 7.37/5.18 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s90, c_busy) | m_main_v_state(s90, c_ready)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6568, 6567])).
% 7.37/5.18 tff(6570,plain,
% 7.37/5.18 ($false),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6569, 89, 6566, 6564])).
% 7.37/5.18 tff(6571,plain,(xuntil6(s92) | (~until5(s90)) | node4(s92)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.18 tff(6572,plain,
% 7.37/5.18 (xuntil6(s92) | (~until5(s90))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6571, 6193])).
% 7.37/5.18 tff(6573,plain,
% 7.37/5.18 (xuntil6(s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6572, 6141])).
% 7.37/5.18 tff(6574,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6575,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6576,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6575, 6574])).
% 7.37/5.18 tff(6577,plain,
% 7.37/5.18 ((~xuntil6(s92)) | until5(s93)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6576, 6150, 370])).
% 7.37/5.18 tff(6578,plain,
% 7.37/5.18 (until5(s93)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6577, 6573])).
% 7.37/5.18 tff(6579,assumption,(node4(s93)), introduced(assumption)).
% 7.37/5.18 tff(6580,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6581,plain,
% 7.37/5.18 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s93) | (~node4(s93)))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6582,plain,
% 7.37/5.18 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s93) | (~node4(s93))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6581, 6580])).
% 7.37/5.18 tff(6583,plain,
% 7.37/5.18 (m_main_v_request(s93)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6582, 28, 6579])).
% 7.37/5.18 tff(6584,plain,
% 7.37/5.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s93) | (~node4(s93)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s93) | (~node4(s93)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6585,plain,
% 7.37/5.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s93) | (~node4(s93)))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6586,plain,
% 7.37/5.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s93) | (~node4(s93))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6585, 6584])).
% 7.37/5.18 tff(6587,plain,
% 7.37/5.18 (always3(s93)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6586, 16, 6579])).
% 7.37/5.18 tff(6588,plain,
% 7.37/5.18 (succ(s93, s94) <=> succ(s93, s94)),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6589,axiom,(succ(s93, s94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound94')).
% 7.37/5.18 tff(6590,plain,
% 7.37/5.18 (succ(s93, s94)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6589, 6588])).
% 7.37/5.18 tff(6591,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6592,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6593,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6592, 6591])).
% 7.37/5.18 tff(6594,plain,
% 7.37/5.18 (trans(s93, s94)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6593, 6590, 39])).
% 7.37/5.18 tff(6595,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6596,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s93, s94)) | (~always3(s93)) | always3(s94))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6597,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s93, s94)) | (~always3(s93)) | always3(s94)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6596, 6595])).
% 7.37/5.18 tff(6598,plain,
% 7.37/5.18 ((~always3(s93)) | always3(s94)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6597, 112, 6594])).
% 7.37/5.18 tff(6599,plain,
% 7.37/5.18 (always3(s94)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6598, 6587])).
% 7.37/5.18 tff(6600,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6601,plain,
% 7.37/5.18 (((~m_main_v_state(s94, c_busy)) | (~always3(s94))) <=> ((~always3(s94)) | (~m_main_v_state(s94, c_busy)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6602,plain,
% 7.37/5.18 (((~![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))))),
% 7.37/5.18 inference(monotonicity,[status(thm)],[6601])).
% 7.37/5.18 tff(6603,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(transitivity,[status(thm)],[6602, 6600])).
% 7.37/5.18 tff(6604,plain,
% 7.37/5.18 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s94, c_busy)) | (~always3(s94)))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6605,plain,
% 7.37/5.18 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s94)) | (~m_main_v_state(s94, c_busy))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6604, 6603])).
% 7.37/5.18 tff(6606,plain,
% 7.37/5.18 (~m_main_v_state(s94, c_busy)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6605, 72, 6599])).
% 7.37/5.18 tff(6607,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6608,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s93, s94)) | node2(s93, s94))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6609,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s93, s94)) | node2(s93, s94)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6608, 6607])).
% 7.37/5.18 tff(6610,plain,
% 7.37/5.18 (node2(s93, s94)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6609, 7, 6594])).
% 7.37/5.18 tff(6611,plain,
% 7.37/5.18 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6612,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6613,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6612, 6611])).
% 7.37/5.18 tff(6614,plain,
% 7.37/5.18 ((~m_main_v_state(s93, c_ready)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6613, 60, 6610])).
% 7.37/5.18 tff(6615,plain,
% 7.37/5.18 (~m_main_v_state(s93, c_ready)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6614, 6606, 6583])).
% 7.37/5.18 tff(6616,plain,
% 7.37/5.18 (~m_main_v_state(s93, c_busy)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6165, 72, 6587])).
% 7.37/5.18 tff(6617,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6618,plain,
% 7.37/5.18 ((~![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))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6619,plain,
% 7.37/5.18 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s93, c_busy) | m_main_v_state(s93, c_ready)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6618, 6617])).
% 7.37/5.18 tff(6620,plain,
% 7.37/5.18 ($false),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6619, 89, 6616, 6615])).
% 7.37/5.18 tff(6621,plain,(~node4(s93)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.18 tff(6622,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6623,plain,
% 7.37/5.18 ((node4(s93) | (~until5(s93)) | xuntil6(s93)) <=> (xuntil6(s93) | node4(s93) | (~until5(s93)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6624,plain,
% 7.37/5.18 (((~![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))))),
% 7.37/5.18 inference(monotonicity,[status(thm)],[6623])).
% 7.37/5.18 tff(6625,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(transitivity,[status(thm)],[6624, 6622])).
% 7.37/5.18 tff(6626,plain,
% 7.37/5.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s93) | (~until5(s93)) | xuntil6(s93))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6627,plain,
% 7.37/5.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s93) | node4(s93) | (~until5(s93))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6626, 6625])).
% 7.37/5.18 tff(6628,plain,
% 7.37/5.18 (xuntil6(s93) | (~until5(s93))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6627, 352, 6621])).
% 7.37/5.18 tff(6629,plain,
% 7.37/5.18 (xuntil6(s93)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6628, 6578])).
% 7.37/5.18 tff(6630,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6631,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6632,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6631, 6630])).
% 7.37/5.18 tff(6633,plain,
% 7.37/5.18 ((~xuntil6(s93)) | until5(s94)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6632, 6590, 370])).
% 7.37/5.18 tff(6634,plain,
% 7.37/5.18 (until5(s94)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6633, 6629])).
% 7.37/5.18 tff(6635,assumption,(~xuntil6(s94)), introduced(assumption)).
% 7.37/5.18 tff(6636,assumption,(~always3(s94)), introduced(assumption)).
% 7.37/5.18 tff(6637,plain,
% 7.37/5.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s94) | (~node4(s94)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s94) | (~node4(s94)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6638,plain,
% 7.37/5.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s94) | (~node4(s94)))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6639,plain,
% 7.37/5.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s94) | (~node4(s94))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6638, 6637])).
% 7.37/5.18 tff(6640,plain,
% 7.37/5.18 (~node4(s94)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6639, 16, 6636])).
% 7.37/5.18 tff(6641,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6642,plain,
% 7.37/5.18 ((node4(s94) | (~until5(s94)) | xuntil6(s94)) <=> (xuntil6(s94) | node4(s94) | (~until5(s94)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6643,plain,
% 7.37/5.18 (((~![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))))),
% 7.37/5.18 inference(monotonicity,[status(thm)],[6642])).
% 7.37/5.18 tff(6644,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(transitivity,[status(thm)],[6643, 6641])).
% 7.37/5.18 tff(6645,plain,
% 7.37/5.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s94) | (~until5(s94)) | xuntil6(s94))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6646,plain,
% 7.37/5.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s94) | node4(s94) | (~until5(s94))),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6645, 6644])).
% 7.37/5.18 tff(6647,plain,
% 7.37/5.18 (node4(s94) | (~until5(s94))),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6646, 352, 6635])).
% 7.37/5.18 tff(6648,plain,
% 7.37/5.18 (~until5(s94)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6647, 6640])).
% 7.37/5.18 tff(6649,plain,
% 7.37/5.18 (~xuntil6(s93)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6633, 6648])).
% 7.37/5.18 tff(6650,plain,
% 7.37/5.18 (~always3(s93)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6598, 6636])).
% 7.37/5.18 tff(6651,plain,
% 7.37/5.18 (~always3(s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6158, 6650])).
% 7.37/5.18 tff(6652,plain,
% 7.37/5.18 (~node4(s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6146, 16, 6651])).
% 7.37/5.18 tff(6653,plain,
% 7.37/5.18 (~always3(s91)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6519, 6651])).
% 7.37/5.18 tff(6654,plain,
% 7.37/5.18 (xuntil6(s91)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6502, 6653])).
% 7.37/5.18 tff(6655,plain,
% 7.37/5.18 (until5(s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6209, 6654])).
% 7.37/5.18 tff(6656,plain,
% 7.37/5.18 (xuntil6(s92) | node4(s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6201, 352, 6655])).
% 7.37/5.18 tff(6657,plain,
% 7.37/5.18 (xuntil6(s92)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6656, 6652])).
% 7.37/5.18 tff(6658,plain,
% 7.37/5.18 (until5(s93)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6577, 6657])).
% 7.37/5.18 tff(6659,plain,
% 7.37/5.18 ($false),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6628, 6658, 6649])).
% 7.37/5.18 tff(6660,plain,(always3(s94) | xuntil6(s94)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.18 tff(6661,plain,
% 7.37/5.18 (always3(s94)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6660, 6635])).
% 7.37/5.18 tff(6662,plain,
% 7.37/5.18 (succ(s94, s95) <=> succ(s94, s95)),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6663,axiom,(succ(s94, s95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound95')).
% 7.37/5.18 tff(6664,plain,
% 7.37/5.18 (succ(s94, s95)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6663, 6662])).
% 7.37/5.18 tff(6665,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6666,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6667,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6666, 6665])).
% 7.37/5.18 tff(6668,plain,
% 7.37/5.18 (trans(s94, s95)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6667, 6664, 39])).
% 7.37/5.18 tff(6669,plain,
% 7.37/5.18 (((~![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))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6670,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s94, s95)) | (~always3(s94)) | always3(s95))),
% 7.37/5.18 inference(quant_inst,[status(thm)],[])).
% 7.37/5.18 tff(6671,plain,
% 7.37/5.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s94, s95)) | (~always3(s94)) | always3(s95)),
% 7.37/5.18 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 7.37/5.18 tff(6672,plain,
% 7.37/5.18 ((~always3(s94)) | always3(s95)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6671, 112, 6668])).
% 7.37/5.18 tff(6673,plain,
% 7.37/5.18 (always3(s95)),
% 7.37/5.18 inference(unit_resolution,[status(thm)],[6672, 6661])).
% 7.37/5.18 tff(6674,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6675,plain,
% 7.37/5.18 (((~m_main_v_state(s95, c_busy)) | (~always3(s95))) <=> ((~always3(s95)) | (~m_main_v_state(s95, c_busy)))),
% 7.37/5.18 inference(rewrite,[status(thm)],[])).
% 7.37/5.18 tff(6676,plain,
% 7.37/5.18 (((~![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))))),
% 7.37/5.18 inference(monotonicity,[status(thm)],[6675])).
% 7.37/5.18 tff(6677,plain,
% 7.37/5.18 (((~![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)))),
% 7.37/5.19 inference(transitivity,[status(thm)],[6676, 6674])).
% 7.37/5.19 tff(6678,plain,
% 7.37/5.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s95, c_busy)) | (~always3(s95)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6679,plain,
% 7.37/5.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s95)) | (~m_main_v_state(s95, c_busy))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6678, 6677])).
% 7.37/5.19 tff(6680,plain,
% 7.37/5.19 (~m_main_v_state(s95, c_busy)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6679, 72, 6673])).
% 7.37/5.19 tff(6681,assumption,(until5(s94)), introduced(assumption)).
% 7.37/5.19 tff(6682,plain,
% 7.37/5.19 (xuntil6(s94) | node4(s94)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6646, 352, 6681])).
% 7.37/5.19 tff(6683,plain,
% 7.37/5.19 (node4(s94)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6682, 6635])).
% 7.37/5.19 tff(6684,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6685,plain,
% 7.37/5.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s94) | (~node4(s94)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6686,plain,
% 7.37/5.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s94) | (~node4(s94))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 7.37/5.19 tff(6687,plain,
% 7.37/5.19 (m_main_v_request(s94)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6686, 28, 6683])).
% 7.37/5.19 tff(6688,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6689,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s94, s95)) | node2(s94, s95))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6690,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s94, s95)) | node2(s94, s95)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6689, 6688])).
% 7.37/5.19 tff(6691,plain,
% 7.37/5.19 (node2(s94, s95)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6690, 7, 6668])).
% 7.37/5.19 tff(6692,plain,
% 7.37/5.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6693,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6694,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6693, 6692])).
% 7.37/5.19 tff(6695,plain,
% 7.37/5.19 ((~m_main_v_state(s94, c_ready)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94))),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6694, 60, 6691])).
% 7.37/5.19 tff(6696,plain,
% 7.37/5.19 (~m_main_v_state(s94, c_ready)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6695, 6687, 6680])).
% 7.37/5.19 tff(6697,plain,
% 7.37/5.19 (~m_main_v_state(s94, c_busy)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6605, 72, 6661])).
% 7.37/5.19 tff(6698,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6699,plain,
% 7.37/5.19 ((~![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))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6700,plain,
% 7.37/5.19 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6699, 6698])).
% 7.37/5.19 tff(6701,plain,
% 7.37/5.19 ($false),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6700, 89, 6697, 6696])).
% 7.37/5.19 tff(6702,plain,(xuntil6(s94) | (~until5(s94))), inference(lemma,lemma(discharge,[]))).
% 7.37/5.19 tff(6703,plain,
% 7.37/5.19 (xuntil6(s94)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6702, 6634])).
% 7.37/5.19 tff(6704,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6705,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6706,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 7.37/5.19 tff(6707,plain,
% 7.37/5.19 ((~xuntil6(s94)) | until5(s95)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6706, 6664, 370])).
% 7.37/5.19 tff(6708,plain,
% 7.37/5.19 (until5(s95)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6707, 6703])).
% 7.37/5.19 tff(6709,assumption,(node4(s95)), introduced(assumption)).
% 7.37/5.19 tff(6710,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6711,plain,
% 7.37/5.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s95) | (~node4(s95)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6712,plain,
% 7.37/5.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s95) | (~node4(s95))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6711, 6710])).
% 7.37/5.19 tff(6713,plain,
% 7.37/5.19 (m_main_v_request(s95)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6712, 28, 6709])).
% 7.37/5.19 tff(6714,plain,
% 7.37/5.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s95) | (~node4(s95)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s95) | (~node4(s95)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6715,plain,
% 7.37/5.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s95) | (~node4(s95)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6716,plain,
% 7.37/5.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s95) | (~node4(s95))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6715, 6714])).
% 7.37/5.19 tff(6717,plain,
% 7.37/5.19 (always3(s95)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6716, 16, 6709])).
% 7.37/5.19 tff(6718,plain,
% 7.37/5.19 (succ(s95, s96) <=> succ(s95, s96)),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6719,axiom,(succ(s95, s96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound96')).
% 7.37/5.19 tff(6720,plain,
% 7.37/5.19 (succ(s95, s96)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6719, 6718])).
% 7.37/5.19 tff(6721,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6722,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6723,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6722, 6721])).
% 7.37/5.19 tff(6724,plain,
% 7.37/5.19 (trans(s95, s96)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6723, 6720, 39])).
% 7.37/5.19 tff(6725,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6726,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s95, s96)) | (~always3(s95)) | always3(s96))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6727,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s95, s96)) | (~always3(s95)) | always3(s96)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6726, 6725])).
% 7.37/5.19 tff(6728,plain,
% 7.37/5.19 ((~always3(s95)) | always3(s96)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6727, 112, 6724])).
% 7.37/5.19 tff(6729,plain,
% 7.37/5.19 (always3(s96)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6728, 6717])).
% 7.37/5.19 tff(6730,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6731,plain,
% 7.37/5.19 (((~m_main_v_state(s96, c_busy)) | (~always3(s96))) <=> ((~always3(s96)) | (~m_main_v_state(s96, c_busy)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6732,plain,
% 7.37/5.19 (((~![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))))),
% 7.37/5.19 inference(monotonicity,[status(thm)],[6731])).
% 7.37/5.19 tff(6733,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(transitivity,[status(thm)],[6732, 6730])).
% 7.37/5.19 tff(6734,plain,
% 7.37/5.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s96, c_busy)) | (~always3(s96)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6735,plain,
% 7.37/5.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s96)) | (~m_main_v_state(s96, c_busy))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6734, 6733])).
% 7.37/5.19 tff(6736,plain,
% 7.37/5.19 (~m_main_v_state(s96, c_busy)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6735, 72, 6729])).
% 7.37/5.19 tff(6737,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6738,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s95, s96)) | node2(s95, s96))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6739,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s95, s96)) | node2(s95, s96)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6738, 6737])).
% 7.37/5.19 tff(6740,plain,
% 7.37/5.19 (node2(s95, s96)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6739, 7, 6724])).
% 7.37/5.19 tff(6741,plain,
% 7.37/5.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6742,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6743,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6742, 6741])).
% 7.37/5.19 tff(6744,plain,
% 7.37/5.19 ((~m_main_v_state(s95, c_ready)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95))),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6743, 60, 6740])).
% 7.37/5.19 tff(6745,plain,
% 7.37/5.19 (~m_main_v_state(s95, c_ready)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6744, 6736, 6713])).
% 7.37/5.19 tff(6746,plain,
% 7.37/5.19 (~m_main_v_state(s95, c_busy)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6679, 72, 6717])).
% 7.37/5.19 tff(6747,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6748,plain,
% 7.37/5.19 ((~![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))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6749,plain,
% 7.37/5.19 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6748, 6747])).
% 7.37/5.19 tff(6750,plain,
% 7.37/5.19 ($false),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6749, 89, 6746, 6745])).
% 7.37/5.19 tff(6751,plain,(~node4(s95)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.19 tff(6752,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6753,plain,
% 7.37/5.19 ((node4(s95) | (~until5(s95)) | xuntil6(s95)) <=> (xuntil6(s95) | node4(s95) | (~until5(s95)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6754,plain,
% 7.37/5.19 (((~![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))))),
% 7.37/5.19 inference(monotonicity,[status(thm)],[6753])).
% 7.37/5.19 tff(6755,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(transitivity,[status(thm)],[6754, 6752])).
% 7.37/5.19 tff(6756,plain,
% 7.37/5.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s95) | (~until5(s95)) | xuntil6(s95))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6757,plain,
% 7.37/5.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s95) | node4(s95) | (~until5(s95))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6756, 6755])).
% 7.37/5.19 tff(6758,plain,
% 7.37/5.19 (xuntil6(s95) | (~until5(s95))),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6757, 352, 6751])).
% 7.37/5.19 tff(6759,plain,
% 7.37/5.19 (xuntil6(s95)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6758, 6708])).
% 7.37/5.19 tff(6760,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6761,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6762,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 7.37/5.19 tff(6763,plain,
% 7.37/5.19 ((~xuntil6(s95)) | until5(s96)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6762, 6720, 370])).
% 7.37/5.19 tff(6764,plain,
% 7.37/5.19 (until5(s96)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6763, 6759])).
% 7.37/5.19 tff(6765,assumption,(node4(s96)), introduced(assumption)).
% 7.37/5.19 tff(6766,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6767,plain,
% 7.37/5.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s96) | (~node4(s96)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6768,plain,
% 7.37/5.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s96) | (~node4(s96))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6767, 6766])).
% 7.37/5.19 tff(6769,plain,
% 7.37/5.19 (m_main_v_request(s96)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6768, 28, 6765])).
% 7.37/5.19 tff(6770,plain,
% 7.37/5.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s96) | (~node4(s96)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s96) | (~node4(s96)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6771,plain,
% 7.37/5.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s96) | (~node4(s96)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6772,plain,
% 7.37/5.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s96) | (~node4(s96))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6771, 6770])).
% 7.37/5.19 tff(6773,plain,
% 7.37/5.19 (always3(s96)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6772, 16, 6765])).
% 7.37/5.19 tff(6774,plain,
% 7.37/5.19 (succ(s96, s97) <=> succ(s96, s97)),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6775,axiom,(succ(s96, s97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound97')).
% 7.37/5.19 tff(6776,plain,
% 7.37/5.19 (succ(s96, s97)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6775, 6774])).
% 7.37/5.19 tff(6777,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6778,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6779,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6778, 6777])).
% 7.37/5.19 tff(6780,plain,
% 7.37/5.19 (trans(s96, s97)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6779, 6776, 39])).
% 7.37/5.19 tff(6781,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6782,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s96, s97)) | (~always3(s96)) | always3(s97))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6783,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s96, s97)) | (~always3(s96)) | always3(s97)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6782, 6781])).
% 7.37/5.19 tff(6784,plain,
% 7.37/5.19 ((~always3(s96)) | always3(s97)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6783, 112, 6780])).
% 7.37/5.19 tff(6785,plain,
% 7.37/5.19 (always3(s97)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6784, 6773])).
% 7.37/5.19 tff(6786,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6787,plain,
% 7.37/5.19 (((~m_main_v_state(s97, c_busy)) | (~always3(s97))) <=> ((~always3(s97)) | (~m_main_v_state(s97, c_busy)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6788,plain,
% 7.37/5.19 (((~![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))))),
% 7.37/5.19 inference(monotonicity,[status(thm)],[6787])).
% 7.37/5.19 tff(6789,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(transitivity,[status(thm)],[6788, 6786])).
% 7.37/5.19 tff(6790,plain,
% 7.37/5.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s97, c_busy)) | (~always3(s97)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6791,plain,
% 7.37/5.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s97)) | (~m_main_v_state(s97, c_busy))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 7.37/5.19 tff(6792,plain,
% 7.37/5.19 (~m_main_v_state(s97, c_busy)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6791, 72, 6785])).
% 7.37/5.19 tff(6793,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6794,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s96, s97)) | node2(s96, s97))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6795,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s96, s97)) | node2(s96, s97)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 7.37/5.19 tff(6796,plain,
% 7.37/5.19 (node2(s96, s97)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6795, 7, 6780])).
% 7.37/5.19 tff(6797,plain,
% 7.37/5.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6798,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6799,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6798, 6797])).
% 7.37/5.19 tff(6800,plain,
% 7.37/5.19 ((~m_main_v_state(s96, c_ready)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96))),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6799, 60, 6796])).
% 7.37/5.19 tff(6801,plain,
% 7.37/5.19 (~m_main_v_state(s96, c_ready)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6800, 6792, 6769])).
% 7.37/5.19 tff(6802,plain,
% 7.37/5.19 (~m_main_v_state(s96, c_busy)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6735, 72, 6773])).
% 7.37/5.19 tff(6803,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6804,plain,
% 7.37/5.19 ((~![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))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6805,plain,
% 7.37/5.19 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6804, 6803])).
% 7.37/5.19 tff(6806,plain,
% 7.37/5.19 ($false),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6805, 89, 6802, 6801])).
% 7.37/5.19 tff(6807,plain,(~node4(s96)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.19 tff(6808,plain,
% 7.37/5.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s96) | node4(s96) | (~until5(s96)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s96) | node4(s96) | (~until5(s96)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6809,plain,
% 7.37/5.19 ((node4(s96) | (~until5(s96)) | xuntil6(s96)) <=> (xuntil6(s96) | node4(s96) | (~until5(s96)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6810,plain,
% 7.37/5.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s96) | (~until5(s96)) | xuntil6(s96))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s96) | node4(s96) | (~until5(s96))))),
% 7.37/5.19 inference(monotonicity,[status(thm)],[6809])).
% 7.37/5.19 tff(6811,plain,
% 7.37/5.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s96) | (~until5(s96)) | xuntil6(s96))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s96) | node4(s96) | (~until5(s96)))),
% 7.37/5.19 inference(transitivity,[status(thm)],[6810, 6808])).
% 7.37/5.19 tff(6812,plain,
% 7.37/5.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s96) | (~until5(s96)) | xuntil6(s96))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6813,plain,
% 7.37/5.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s96) | node4(s96) | (~until5(s96))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6812, 6811])).
% 7.37/5.19 tff(6814,plain,
% 7.37/5.19 (xuntil6(s96) | (~until5(s96))),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6813, 352, 6807])).
% 7.37/5.19 tff(6815,plain,
% 7.37/5.19 (xuntil6(s96)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6814, 6764])).
% 7.37/5.19 tff(6816,plain,
% 7.37/5.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6817,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6818,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6817, 6816])).
% 7.37/5.19 tff(6819,plain,
% 7.37/5.19 ((~xuntil6(s96)) | until5(s97)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6818, 6776, 370])).
% 7.37/5.19 tff(6820,plain,
% 7.37/5.19 (until5(s97)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6819, 6815])).
% 7.37/5.19 tff(6821,assumption,(node4(s97)), introduced(assumption)).
% 7.37/5.19 tff(6822,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6823,plain,
% 7.37/5.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s97) | (~node4(s97)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6824,plain,
% 7.37/5.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s97) | (~node4(s97))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6823, 6822])).
% 7.37/5.19 tff(6825,plain,
% 7.37/5.19 (m_main_v_request(s97)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6824, 28, 6821])).
% 7.37/5.19 tff(6826,plain,
% 7.37/5.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s97) | (~node4(s97)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s97) | (~node4(s97)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6827,plain,
% 7.37/5.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s97) | (~node4(s97)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6828,plain,
% 7.37/5.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s97) | (~node4(s97))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6827, 6826])).
% 7.37/5.19 tff(6829,plain,
% 7.37/5.19 (always3(s97)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6828, 16, 6821])).
% 7.37/5.19 tff(6830,plain,
% 7.37/5.19 (succ(s97, s98) <=> succ(s97, s98)),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6831,axiom,(succ(s97, s98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound98')).
% 7.37/5.19 tff(6832,plain,
% 7.37/5.19 (succ(s97, s98)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6831, 6830])).
% 7.37/5.19 tff(6833,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6834,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6835,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6834, 6833])).
% 7.37/5.19 tff(6836,plain,
% 7.37/5.19 (trans(s97, s98)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6835, 6832, 39])).
% 7.37/5.19 tff(6837,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6838,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s97, s98)) | (~always3(s97)) | always3(s98))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6839,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s97, s98)) | (~always3(s97)) | always3(s98)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6838, 6837])).
% 7.37/5.19 tff(6840,plain,
% 7.37/5.19 ((~always3(s97)) | always3(s98)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6839, 112, 6836])).
% 7.37/5.19 tff(6841,plain,
% 7.37/5.19 (always3(s98)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6840, 6829])).
% 7.37/5.19 tff(6842,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6843,plain,
% 7.37/5.19 (((~m_main_v_state(s98, c_busy)) | (~always3(s98))) <=> ((~always3(s98)) | (~m_main_v_state(s98, c_busy)))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6844,plain,
% 7.37/5.19 (((~![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))))),
% 7.37/5.19 inference(monotonicity,[status(thm)],[6843])).
% 7.37/5.19 tff(6845,plain,
% 7.37/5.19 (((~![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)))),
% 7.37/5.19 inference(transitivity,[status(thm)],[6844, 6842])).
% 7.37/5.19 tff(6846,plain,
% 7.37/5.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s98, c_busy)) | (~always3(s98)))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6847,plain,
% 7.37/5.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s98)) | (~m_main_v_state(s98, c_busy))),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6846, 6845])).
% 7.37/5.19 tff(6848,plain,
% 7.37/5.19 (~m_main_v_state(s98, c_busy)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6847, 72, 6841])).
% 7.37/5.19 tff(6849,plain,
% 7.37/5.19 (((~![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))),
% 7.37/5.19 inference(rewrite,[status(thm)],[])).
% 7.37/5.19 tff(6850,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s97, s98)) | node2(s97, s98))),
% 7.37/5.19 inference(quant_inst,[status(thm)],[])).
% 7.37/5.19 tff(6851,plain,
% 7.37/5.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s97, s98)) | node2(s97, s98)),
% 7.37/5.19 inference(modus_ponens,[status(thm)],[6850, 6849])).
% 7.37/5.19 tff(6852,plain,
% 7.37/5.19 (node2(s97, s98)),
% 7.37/5.19 inference(unit_resolution,[status(thm)],[6851, 7, 6836])).
% 7.37/5.19 tff(6853,plain,
% 7.37/5.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6854,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6855,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6854, 6853])).
% 7.37/5.20 tff(6856,plain,
% 7.37/5.20 ((~m_main_v_state(s97, c_ready)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97))),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6855, 60, 6852])).
% 7.37/5.20 tff(6857,plain,
% 7.37/5.20 (~m_main_v_state(s97, c_ready)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6856, 6848, 6825])).
% 7.37/5.20 tff(6858,plain,
% 7.37/5.20 (~m_main_v_state(s97, c_busy)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6791, 72, 6829])).
% 7.37/5.20 tff(6859,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6860,plain,
% 7.37/5.20 ((~![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))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6861,plain,
% 7.37/5.20 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s97, c_busy) | m_main_v_state(s97, c_ready)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6860, 6859])).
% 7.37/5.20 tff(6862,plain,
% 7.37/5.20 ($false),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6861, 89, 6858, 6857])).
% 7.37/5.20 tff(6863,plain,(~node4(s97)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.20 tff(6864,plain,
% 7.37/5.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s97) | node4(s97) | (~until5(s97)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6865,plain,
% 7.37/5.20 ((node4(s97) | (~until5(s97)) | xuntil6(s97)) <=> (xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6866,plain,
% 7.37/5.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s97) | node4(s97) | (~until5(s97))))),
% 7.37/5.20 inference(monotonicity,[status(thm)],[6865])).
% 7.37/5.20 tff(6867,plain,
% 7.37/5.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 7.37/5.20 inference(transitivity,[status(thm)],[6866, 6864])).
% 7.37/5.20 tff(6868,plain,
% 7.37/5.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6869,plain,
% 7.37/5.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6868, 6867])).
% 7.37/5.20 tff(6870,plain,
% 7.37/5.20 (xuntil6(s97) | (~until5(s97))),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6869, 352, 6863])).
% 7.37/5.20 tff(6871,plain,
% 7.37/5.20 (xuntil6(s97)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6870, 6820])).
% 7.37/5.20 tff(6872,plain,
% 7.37/5.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6873,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6874,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6873, 6872])).
% 7.37/5.20 tff(6875,plain,
% 7.37/5.20 ((~xuntil6(s97)) | until5(s98)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6874, 6832, 370])).
% 7.37/5.20 tff(6876,plain,
% 7.37/5.20 (until5(s98)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6875, 6871])).
% 7.37/5.20 tff(6877,assumption,(node4(s98)), introduced(assumption)).
% 7.37/5.20 tff(6878,plain,
% 7.37/5.20 (((~![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)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6879,plain,
% 7.37/5.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s98) | (~node4(s98)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6880,plain,
% 7.37/5.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s98) | (~node4(s98))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6879, 6878])).
% 7.37/5.20 tff(6881,plain,
% 7.37/5.20 (m_main_v_request(s98)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6880, 28, 6877])).
% 7.37/5.20 tff(6882,plain,
% 7.37/5.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s98) | (~node4(s98)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s98) | (~node4(s98)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6883,plain,
% 7.37/5.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s98) | (~node4(s98)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6884,plain,
% 7.37/5.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s98) | (~node4(s98))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6883, 6882])).
% 7.37/5.20 tff(6885,plain,
% 7.37/5.20 (always3(s98)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6884, 16, 6877])).
% 7.37/5.20 tff(6886,plain,
% 7.37/5.20 (succ(s98, s99) <=> succ(s98, s99)),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6887,axiom,(succ(s98, s99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound99')).
% 7.37/5.20 tff(6888,plain,
% 7.37/5.20 (succ(s98, s99)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6887, 6886])).
% 7.37/5.20 tff(6889,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6890,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6891,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6890, 6889])).
% 7.37/5.20 tff(6892,plain,
% 7.37/5.20 (trans(s98, s99)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6891, 6888, 39])).
% 7.37/5.20 tff(6893,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6894,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s98, s99)) | (~always3(s98)) | always3(s99))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6895,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s98, s99)) | (~always3(s98)) | always3(s99)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 7.37/5.20 tff(6896,plain,
% 7.37/5.20 ((~always3(s98)) | always3(s99)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6895, 112, 6892])).
% 7.37/5.20 tff(6897,plain,
% 7.37/5.20 (always3(s99)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6896, 6885])).
% 7.37/5.20 tff(6898,plain,
% 7.37/5.20 (((~![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)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6899,plain,
% 7.37/5.20 (((~m_main_v_state(s99, c_busy)) | (~always3(s99))) <=> ((~always3(s99)) | (~m_main_v_state(s99, c_busy)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6900,plain,
% 7.37/5.20 (((~![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))))),
% 7.37/5.20 inference(monotonicity,[status(thm)],[6899])).
% 7.37/5.20 tff(6901,plain,
% 7.37/5.20 (((~![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)))),
% 7.37/5.20 inference(transitivity,[status(thm)],[6900, 6898])).
% 7.37/5.20 tff(6902,plain,
% 7.37/5.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s99, c_busy)) | (~always3(s99)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6903,plain,
% 7.37/5.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s99)) | (~m_main_v_state(s99, c_busy))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6902, 6901])).
% 7.37/5.20 tff(6904,plain,
% 7.37/5.20 (~m_main_v_state(s99, c_busy)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6903, 72, 6897])).
% 7.37/5.20 tff(6905,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6906,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s98, s99)) | node2(s98, s99))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6907,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s98, s99)) | node2(s98, s99)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6906, 6905])).
% 7.37/5.20 tff(6908,plain,
% 7.37/5.20 (node2(s98, s99)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6907, 7, 6892])).
% 7.37/5.20 tff(6909,plain,
% 7.37/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6910,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6911,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6910, 6909])).
% 7.37/5.20 tff(6912,plain,
% 7.37/5.20 ((~m_main_v_state(s98, c_ready)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98))),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6911, 60, 6908])).
% 7.37/5.20 tff(6913,plain,
% 7.37/5.20 (~m_main_v_state(s98, c_ready)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6912, 6904, 6881])).
% 7.37/5.20 tff(6914,plain,
% 7.37/5.20 (~m_main_v_state(s98, c_busy)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6847, 72, 6885])).
% 7.37/5.20 tff(6915,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6916,plain,
% 7.37/5.20 ((~![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))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6917,plain,
% 7.37/5.20 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s98, c_busy) | m_main_v_state(s98, c_ready)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6916, 6915])).
% 7.37/5.20 tff(6918,plain,
% 7.37/5.20 ($false),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6917, 89, 6914, 6913])).
% 7.37/5.20 tff(6919,plain,(~node4(s98)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.20 tff(6920,plain,
% 7.37/5.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s98) | node4(s98) | (~until5(s98)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s98) | node4(s98) | (~until5(s98)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6921,plain,
% 7.37/5.20 ((node4(s98) | (~until5(s98)) | xuntil6(s98)) <=> (xuntil6(s98) | node4(s98) | (~until5(s98)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6922,plain,
% 7.37/5.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s98) | node4(s98) | (~until5(s98))))),
% 7.37/5.20 inference(monotonicity,[status(thm)],[6921])).
% 7.37/5.20 tff(6923,plain,
% 7.37/5.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s98) | node4(s98) | (~until5(s98)))),
% 7.37/5.20 inference(transitivity,[status(thm)],[6922, 6920])).
% 7.37/5.20 tff(6924,plain,
% 7.37/5.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6925,plain,
% 7.37/5.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s98) | node4(s98) | (~until5(s98))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6924, 6923])).
% 7.37/5.20 tff(6926,plain,
% 7.37/5.20 (xuntil6(s98) | (~until5(s98))),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6925, 352, 6919])).
% 7.37/5.20 tff(6927,plain,
% 7.37/5.20 (xuntil6(s98)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6926, 6876])).
% 7.37/5.20 tff(6928,plain,
% 7.37/5.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6929,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6930,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 7.37/5.20 tff(6931,plain,
% 7.37/5.20 ((~xuntil6(s98)) | until5(s99)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6930, 6888, 370])).
% 7.37/5.20 tff(6932,plain,
% 7.37/5.20 (until5(s99)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6931, 6927])).
% 7.37/5.20 tff(6933,assumption,(node4(s99)), introduced(assumption)).
% 7.37/5.20 tff(6934,plain,
% 7.37/5.20 (((~![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)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6935,plain,
% 7.37/5.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s99) | (~node4(s99)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6936,plain,
% 7.37/5.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s99) | (~node4(s99))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6935, 6934])).
% 7.37/5.20 tff(6937,plain,
% 7.37/5.20 (m_main_v_request(s99)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6936, 28, 6933])).
% 7.37/5.20 tff(6938,plain,
% 7.37/5.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s99) | (~node4(s99)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s99) | (~node4(s99)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6939,plain,
% 7.37/5.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s99) | (~node4(s99)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6940,plain,
% 7.37/5.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s99) | (~node4(s99))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6939, 6938])).
% 7.37/5.20 tff(6941,plain,
% 7.37/5.20 (always3(s99)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6940, 16, 6933])).
% 7.37/5.20 tff(6942,plain,
% 7.37/5.20 (succ(s99, s100) <=> succ(s99, s100)),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6943,axiom,(succ(s99, s100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound100')).
% 7.37/5.20 tff(6944,plain,
% 7.37/5.20 (succ(s99, s100)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6943, 6942])).
% 7.37/5.20 tff(6945,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6946,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6947,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6946, 6945])).
% 7.37/5.20 tff(6948,plain,
% 7.37/5.20 (trans(s99, s100)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6947, 6944, 39])).
% 7.37/5.20 tff(6949,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6950,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s100)) | (~always3(s99)) | always3(s100))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6951,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s99, s100)) | (~always3(s99)) | always3(s100)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6950, 6949])).
% 7.37/5.20 tff(6952,plain,
% 7.37/5.20 ((~always3(s99)) | always3(s100)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6951, 112, 6948])).
% 7.37/5.20 tff(6953,plain,
% 7.37/5.20 (always3(s100)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6952, 6941])).
% 7.37/5.20 tff(6954,plain,
% 7.37/5.20 (((~![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)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6955,plain,
% 7.37/5.20 (((~m_main_v_state(s100, c_busy)) | (~always3(s100))) <=> ((~always3(s100)) | (~m_main_v_state(s100, c_busy)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6956,plain,
% 7.37/5.20 (((~![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))))),
% 7.37/5.20 inference(monotonicity,[status(thm)],[6955])).
% 7.37/5.20 tff(6957,plain,
% 7.37/5.20 (((~![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)))),
% 7.37/5.20 inference(transitivity,[status(thm)],[6956, 6954])).
% 7.37/5.20 tff(6958,plain,
% 7.37/5.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s100, c_busy)) | (~always3(s100)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6959,plain,
% 7.37/5.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s100)) | (~m_main_v_state(s100, c_busy))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6958, 6957])).
% 7.37/5.20 tff(6960,plain,
% 7.37/5.20 (~m_main_v_state(s100, c_busy)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6959, 72, 6953])).
% 7.37/5.20 tff(6961,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6962,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s100)) | node2(s99, s100))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6963,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s100)) | node2(s99, s100)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6962, 6961])).
% 7.37/5.20 tff(6964,plain,
% 7.37/5.20 (node2(s99, s100)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6963, 7, 6948])).
% 7.37/5.20 tff(6965,plain,
% 7.37/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6966,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6967,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6966, 6965])).
% 7.37/5.20 tff(6968,plain,
% 7.37/5.20 ((~m_main_v_state(s99, c_ready)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99))),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6967, 60, 6964])).
% 7.37/5.20 tff(6969,plain,
% 7.37/5.20 (~m_main_v_state(s99, c_ready)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6968, 6960, 6937])).
% 7.37/5.20 tff(6970,plain,
% 7.37/5.20 (~m_main_v_state(s99, c_busy)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6903, 72, 6941])).
% 7.37/5.20 tff(6971,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6972,plain,
% 7.37/5.20 ((~![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))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6973,plain,
% 7.37/5.20 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6972, 6971])).
% 7.37/5.20 tff(6974,plain,
% 7.37/5.20 ($false),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6973, 89, 6970, 6969])).
% 7.37/5.20 tff(6975,plain,(~node4(s99)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.20 tff(6976,plain,
% 7.37/5.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s99) | node4(s99) | (~until5(s99)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s99) | node4(s99) | (~until5(s99)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6977,plain,
% 7.37/5.20 ((node4(s99) | (~until5(s99)) | xuntil6(s99)) <=> (xuntil6(s99) | node4(s99) | (~until5(s99)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6978,plain,
% 7.37/5.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s99) | (~until5(s99)) | xuntil6(s99))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s99) | node4(s99) | (~until5(s99))))),
% 7.37/5.20 inference(monotonicity,[status(thm)],[6977])).
% 7.37/5.20 tff(6979,plain,
% 7.37/5.20 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s99) | (~until5(s99)) | xuntil6(s99))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s99) | node4(s99) | (~until5(s99)))),
% 7.37/5.20 inference(transitivity,[status(thm)],[6978, 6976])).
% 7.37/5.20 tff(6980,plain,
% 7.37/5.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s99) | (~until5(s99)) | xuntil6(s99))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6981,plain,
% 7.37/5.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s99) | node4(s99) | (~until5(s99))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6980, 6979])).
% 7.37/5.20 tff(6982,plain,
% 7.37/5.20 (xuntil6(s99) | (~until5(s99))),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6981, 352, 6975])).
% 7.37/5.20 tff(6983,plain,
% 7.37/5.20 (xuntil6(s99)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6982, 6932])).
% 7.37/5.20 tff(6984,plain,
% 7.37/5.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6985,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6986,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6985, 6984])).
% 7.37/5.20 tff(6987,plain,
% 7.37/5.20 ((~xuntil6(s99)) | until5(s100)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6986, 6944, 370])).
% 7.37/5.20 tff(6988,plain,
% 7.37/5.20 (until5(s100)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6987, 6983])).
% 7.37/5.20 tff(6989,assumption,(node4(s100)), introduced(assumption)).
% 7.37/5.20 tff(6990,plain,
% 7.37/5.20 (((~![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)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6991,plain,
% 7.37/5.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s100) | (~node4(s100)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6992,plain,
% 7.37/5.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s100) | (~node4(s100))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6991, 6990])).
% 7.37/5.20 tff(6993,plain,
% 7.37/5.20 (m_main_v_request(s100)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6992, 28, 6989])).
% 7.37/5.20 tff(6994,plain,
% 7.37/5.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s100) | (~node4(s100)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s100) | (~node4(s100)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6995,plain,
% 7.37/5.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s100) | (~node4(s100)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(6996,plain,
% 7.37/5.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s100) | (~node4(s100))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 7.37/5.20 tff(6997,plain,
% 7.37/5.20 (always3(s100)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[6996, 16, 6989])).
% 7.37/5.20 tff(6998,plain,
% 7.37/5.20 (succ(s100, s101) <=> succ(s100, s101)),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(6999,axiom,(succ(s100, s101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound101')).
% 7.37/5.20 tff(7000,plain,
% 7.37/5.20 (succ(s100, s101)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 7.37/5.20 tff(7001,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(7002,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(7003,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[7002, 7001])).
% 7.37/5.20 tff(7004,plain,
% 7.37/5.20 (trans(s100, s101)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[7003, 7000, 39])).
% 7.37/5.20 tff(7005,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(7006,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s100, s101)) | (~always3(s100)) | always3(s101))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(7007,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s100, s101)) | (~always3(s100)) | always3(s101)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[7006, 7005])).
% 7.37/5.20 tff(7008,plain,
% 7.37/5.20 ((~always3(s100)) | always3(s101)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[7007, 112, 7004])).
% 7.37/5.20 tff(7009,plain,
% 7.37/5.20 (always3(s101)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[7008, 6997])).
% 7.37/5.20 tff(7010,plain,
% 7.37/5.20 (((~![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)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(7011,plain,
% 7.37/5.20 (((~m_main_v_state(s101, c_busy)) | (~always3(s101))) <=> ((~always3(s101)) | (~m_main_v_state(s101, c_busy)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(7012,plain,
% 7.37/5.20 (((~![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))))),
% 7.37/5.20 inference(monotonicity,[status(thm)],[7011])).
% 7.37/5.20 tff(7013,plain,
% 7.37/5.20 (((~![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)))),
% 7.37/5.20 inference(transitivity,[status(thm)],[7012, 7010])).
% 7.37/5.20 tff(7014,plain,
% 7.37/5.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s101, c_busy)) | (~always3(s101)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(7015,plain,
% 7.37/5.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s101)) | (~m_main_v_state(s101, c_busy))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[7014, 7013])).
% 7.37/5.20 tff(7016,plain,
% 7.37/5.20 (~m_main_v_state(s101, c_busy)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[7015, 72, 7009])).
% 7.37/5.20 tff(7017,plain,
% 7.37/5.20 (((~![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))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(7018,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s100, s101)) | node2(s100, s101))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(7019,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s100, s101)) | node2(s100, s101)),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[7018, 7017])).
% 7.37/5.20 tff(7020,plain,
% 7.37/5.20 (node2(s100, s101)),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[7019, 7, 7004])).
% 7.37/5.20 tff(7021,plain,
% 7.37/5.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.37/5.20 inference(rewrite,[status(thm)],[])).
% 7.37/5.20 tff(7022,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100)))),
% 7.37/5.20 inference(quant_inst,[status(thm)],[])).
% 7.37/5.20 tff(7023,plain,
% 7.37/5.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100))),
% 7.37/5.20 inference(modus_ponens,[status(thm)],[7022, 7021])).
% 7.37/5.20 tff(7024,plain,
% 7.37/5.20 ((~m_main_v_state(s100, c_ready)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100))),
% 7.37/5.20 inference(unit_resolution,[status(thm)],[7023, 60, 7020])).
% 7.37/5.21 tff(7025,plain,
% 7.37/5.21 (~m_main_v_state(s100, c_ready)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7024, 7016, 6993])).
% 7.37/5.21 tff(7026,plain,
% 7.37/5.21 (~m_main_v_state(s100, c_busy)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[6959, 72, 6997])).
% 7.37/5.21 tff(7027,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7028,plain,
% 7.37/5.21 ((~![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))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7029,plain,
% 7.37/5.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s100, c_busy) | m_main_v_state(s100, c_ready)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7028, 7027])).
% 7.37/5.21 tff(7030,plain,
% 7.37/5.21 ($false),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7029, 89, 7026, 7025])).
% 7.37/5.21 tff(7031,plain,(~node4(s100)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.21 tff(7032,plain,
% 7.37/5.21 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s100) | node4(s100) | (~until5(s100)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s100) | node4(s100) | (~until5(s100)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7033,plain,
% 7.37/5.21 ((node4(s100) | (~until5(s100)) | xuntil6(s100)) <=> (xuntil6(s100) | node4(s100) | (~until5(s100)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7034,plain,
% 7.37/5.21 (((~![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))))),
% 7.37/5.21 inference(monotonicity,[status(thm)],[7033])).
% 7.37/5.21 tff(7035,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(transitivity,[status(thm)],[7034, 7032])).
% 7.37/5.21 tff(7036,plain,
% 7.37/5.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s100) | (~until5(s100)) | xuntil6(s100))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7037,plain,
% 7.37/5.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s100) | node4(s100) | (~until5(s100))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7036, 7035])).
% 7.37/5.21 tff(7038,plain,
% 7.37/5.21 (xuntil6(s100) | (~until5(s100))),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7037, 352, 7031])).
% 7.37/5.21 tff(7039,plain,
% 7.37/5.21 (xuntil6(s100)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7038, 6988])).
% 7.37/5.21 tff(7040,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7041,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7042,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 7.37/5.21 tff(7043,plain,
% 7.37/5.21 ((~xuntil6(s100)) | until5(s101)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7042, 7000, 370])).
% 7.37/5.21 tff(7044,plain,
% 7.37/5.21 (until5(s101)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7043, 7039])).
% 7.37/5.21 tff(7045,assumption,(node4(s101)), introduced(assumption)).
% 7.37/5.21 tff(7046,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7047,plain,
% 7.37/5.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s101) | (~node4(s101)))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7048,plain,
% 7.37/5.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s101) | (~node4(s101))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7047, 7046])).
% 7.37/5.21 tff(7049,plain,
% 7.37/5.21 (m_main_v_request(s101)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7048, 28, 7045])).
% 7.37/5.21 tff(7050,plain,
% 7.37/5.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s101) | (~node4(s101)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s101) | (~node4(s101)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7051,plain,
% 7.37/5.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s101) | (~node4(s101)))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7052,plain,
% 7.37/5.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s101) | (~node4(s101))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7051, 7050])).
% 7.37/5.21 tff(7053,plain,
% 7.37/5.21 (always3(s101)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7052, 16, 7045])).
% 7.37/5.21 tff(7054,plain,
% 7.37/5.21 (succ(s101, s102) <=> succ(s101, s102)),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7055,axiom,(succ(s101, s102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound102')).
% 7.37/5.21 tff(7056,plain,
% 7.37/5.21 (succ(s101, s102)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7055, 7054])).
% 7.37/5.21 tff(7057,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7058,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7059,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7058, 7057])).
% 7.37/5.21 tff(7060,plain,
% 7.37/5.21 (trans(s101, s102)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7059, 7056, 39])).
% 7.37/5.21 tff(7061,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7062,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s101, s102)) | (~always3(s101)) | always3(s102))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7063,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s101, s102)) | (~always3(s101)) | always3(s102)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7062, 7061])).
% 7.37/5.21 tff(7064,plain,
% 7.37/5.21 ((~always3(s101)) | always3(s102)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7063, 112, 7060])).
% 7.37/5.21 tff(7065,plain,
% 7.37/5.21 (always3(s102)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7064, 7053])).
% 7.37/5.21 tff(7066,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7067,plain,
% 7.37/5.21 (((~m_main_v_state(s102, c_busy)) | (~always3(s102))) <=> ((~always3(s102)) | (~m_main_v_state(s102, c_busy)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7068,plain,
% 7.37/5.21 (((~![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))))),
% 7.37/5.21 inference(monotonicity,[status(thm)],[7067])).
% 7.37/5.21 tff(7069,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(transitivity,[status(thm)],[7068, 7066])).
% 7.37/5.21 tff(7070,plain,
% 7.37/5.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s102, c_busy)) | (~always3(s102)))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7071,plain,
% 7.37/5.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s102)) | (~m_main_v_state(s102, c_busy))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7070, 7069])).
% 7.37/5.21 tff(7072,plain,
% 7.37/5.21 (~m_main_v_state(s102, c_busy)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7071, 72, 7065])).
% 7.37/5.21 tff(7073,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7074,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s101, s102)) | node2(s101, s102))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7075,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s101, s102)) | node2(s101, s102)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7074, 7073])).
% 7.37/5.21 tff(7076,plain,
% 7.37/5.21 (node2(s101, s102)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7075, 7, 7060])).
% 7.37/5.21 tff(7077,plain,
% 7.37/5.21 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7078,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101)))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7079,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7078, 7077])).
% 7.37/5.21 tff(7080,plain,
% 7.37/5.21 ((~m_main_v_state(s101, c_ready)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101))),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7079, 60, 7076])).
% 7.37/5.21 tff(7081,plain,
% 7.37/5.21 (~m_main_v_state(s101, c_ready)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7080, 7072, 7049])).
% 7.37/5.21 tff(7082,plain,
% 7.37/5.21 (~m_main_v_state(s101, c_busy)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7015, 72, 7053])).
% 7.37/5.21 tff(7083,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7084,plain,
% 7.37/5.21 ((~![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))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7085,plain,
% 7.37/5.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s101, c_busy) | m_main_v_state(s101, c_ready)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 7.37/5.21 tff(7086,plain,
% 7.37/5.21 ($false),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7085, 89, 7082, 7081])).
% 7.37/5.21 tff(7087,plain,(~node4(s101)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.21 tff(7088,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7089,plain,
% 7.37/5.21 ((node4(s101) | (~until5(s101)) | xuntil6(s101)) <=> (xuntil6(s101) | node4(s101) | (~until5(s101)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7090,plain,
% 7.37/5.21 (((~![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))))),
% 7.37/5.21 inference(monotonicity,[status(thm)],[7089])).
% 7.37/5.21 tff(7091,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(transitivity,[status(thm)],[7090, 7088])).
% 7.37/5.21 tff(7092,plain,
% 7.37/5.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s101) | (~until5(s101)) | xuntil6(s101))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7093,plain,
% 7.37/5.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s101) | node4(s101) | (~until5(s101))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7092, 7091])).
% 7.37/5.21 tff(7094,plain,
% 7.37/5.21 (xuntil6(s101) | (~until5(s101))),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7093, 352, 7087])).
% 7.37/5.21 tff(7095,plain,
% 7.37/5.21 (xuntil6(s101)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7094, 7044])).
% 7.37/5.21 tff(7096,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7097,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7098,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7097, 7096])).
% 7.37/5.21 tff(7099,plain,
% 7.37/5.21 ((~xuntil6(s101)) | until5(s102)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7098, 7056, 370])).
% 7.37/5.21 tff(7100,plain,
% 7.37/5.21 (until5(s102)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7099, 7095])).
% 7.37/5.21 tff(7101,assumption,(node4(s102)), introduced(assumption)).
% 7.37/5.21 tff(7102,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7103,plain,
% 7.37/5.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s102) | (~node4(s102)))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7104,plain,
% 7.37/5.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s102) | (~node4(s102))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7103, 7102])).
% 7.37/5.21 tff(7105,plain,
% 7.37/5.21 (m_main_v_request(s102)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7104, 28, 7101])).
% 7.37/5.21 tff(7106,plain,
% 7.37/5.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s102) | (~node4(s102)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s102) | (~node4(s102)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7107,plain,
% 7.37/5.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s102) | (~node4(s102)))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7108,plain,
% 7.37/5.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s102) | (~node4(s102))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7107, 7106])).
% 7.37/5.21 tff(7109,plain,
% 7.37/5.21 (always3(s102)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7108, 16, 7101])).
% 7.37/5.21 tff(7110,plain,
% 7.37/5.21 (succ(s102, s103) <=> succ(s102, s103)),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7111,axiom,(succ(s102, s103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound103')).
% 7.37/5.21 tff(7112,plain,
% 7.37/5.21 (succ(s102, s103)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7111, 7110])).
% 7.37/5.21 tff(7113,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7114,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7115,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7114, 7113])).
% 7.37/5.21 tff(7116,plain,
% 7.37/5.21 (trans(s102, s103)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7115, 7112, 39])).
% 7.37/5.21 tff(7117,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7118,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s102, s103)) | (~always3(s102)) | always3(s103))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7119,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s102, s103)) | (~always3(s102)) | always3(s103)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7118, 7117])).
% 7.37/5.21 tff(7120,plain,
% 7.37/5.21 ((~always3(s102)) | always3(s103)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7119, 112, 7116])).
% 7.37/5.21 tff(7121,plain,
% 7.37/5.21 (always3(s103)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7120, 7109])).
% 7.37/5.21 tff(7122,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7123,plain,
% 7.37/5.21 (((~m_main_v_state(s103, c_busy)) | (~always3(s103))) <=> ((~always3(s103)) | (~m_main_v_state(s103, c_busy)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7124,plain,
% 7.37/5.21 (((~![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))))),
% 7.37/5.21 inference(monotonicity,[status(thm)],[7123])).
% 7.37/5.21 tff(7125,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(transitivity,[status(thm)],[7124, 7122])).
% 7.37/5.21 tff(7126,plain,
% 7.37/5.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s103, c_busy)) | (~always3(s103)))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7127,plain,
% 7.37/5.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s103)) | (~m_main_v_state(s103, c_busy))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7126, 7125])).
% 7.37/5.21 tff(7128,plain,
% 7.37/5.21 (~m_main_v_state(s103, c_busy)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7127, 72, 7121])).
% 7.37/5.21 tff(7129,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7130,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s102, s103)) | node2(s102, s103))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7131,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s102, s103)) | node2(s102, s103)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7130, 7129])).
% 7.37/5.21 tff(7132,plain,
% 7.37/5.21 (node2(s102, s103)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7131, 7, 7116])).
% 7.37/5.21 tff(7133,plain,
% 7.37/5.21 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7134,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102)))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7135,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7134, 7133])).
% 7.37/5.21 tff(7136,plain,
% 7.37/5.21 ((~m_main_v_state(s102, c_ready)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102))),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7135, 60, 7132])).
% 7.37/5.21 tff(7137,plain,
% 7.37/5.21 (~m_main_v_state(s102, c_ready)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7136, 7128, 7105])).
% 7.37/5.21 tff(7138,plain,
% 7.37/5.21 (~m_main_v_state(s102, c_busy)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7071, 72, 7109])).
% 7.37/5.21 tff(7139,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7140,plain,
% 7.37/5.21 ((~![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))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7141,plain,
% 7.37/5.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s102, c_busy) | m_main_v_state(s102, c_ready)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7140, 7139])).
% 7.37/5.21 tff(7142,plain,
% 7.37/5.21 ($false),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7141, 89, 7138, 7137])).
% 7.37/5.21 tff(7143,plain,(~node4(s102)), inference(lemma,lemma(discharge,[]))).
% 7.37/5.21 tff(7144,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7145,plain,
% 7.37/5.21 ((node4(s102) | (~until5(s102)) | xuntil6(s102)) <=> (xuntil6(s102) | node4(s102) | (~until5(s102)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7146,plain,
% 7.37/5.21 (((~![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))))),
% 7.37/5.21 inference(monotonicity,[status(thm)],[7145])).
% 7.37/5.21 tff(7147,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(transitivity,[status(thm)],[7146, 7144])).
% 7.37/5.21 tff(7148,plain,
% 7.37/5.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s102) | (~until5(s102)) | xuntil6(s102))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7149,plain,
% 7.37/5.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s102) | node4(s102) | (~until5(s102))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7148, 7147])).
% 7.37/5.21 tff(7150,plain,
% 7.37/5.21 (xuntil6(s102) | (~until5(s102))),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7149, 352, 7143])).
% 7.37/5.21 tff(7151,plain,
% 7.37/5.21 (xuntil6(s102)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7150, 7100])).
% 7.37/5.21 tff(7152,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7153,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7154,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7153, 7152])).
% 7.37/5.21 tff(7155,plain,
% 7.37/5.21 ((~xuntil6(s102)) | until5(s103)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7154, 7112, 370])).
% 7.37/5.21 tff(7156,plain,
% 7.37/5.21 (until5(s103)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7155, 7151])).
% 7.37/5.21 tff(7157,assumption,(~xuntil6(s104)), introduced(assumption)).
% 7.37/5.21 tff(7158,assumption,(~always3(s104)), introduced(assumption)).
% 7.37/5.21 tff(7159,plain,
% 7.37/5.21 (succ(s103, s104) <=> succ(s103, s104)),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7160,axiom,(succ(s103, s104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound104')).
% 7.37/5.21 tff(7161,plain,
% 7.37/5.21 (succ(s103, s104)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7160, 7159])).
% 7.37/5.21 tff(7162,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7163,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7164,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7163, 7162])).
% 7.37/5.21 tff(7165,plain,
% 7.37/5.21 (trans(s103, s104)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7164, 7161, 39])).
% 7.37/5.21 tff(7166,plain,
% 7.37/5.21 (((~![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))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7167,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s103, s104)) | (~always3(s103)) | always3(s104))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7168,plain,
% 7.37/5.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s103, s104)) | (~always3(s103)) | always3(s104)),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7167, 7166])).
% 7.37/5.21 tff(7169,plain,
% 7.37/5.21 ((~always3(s103)) | always3(s104)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7168, 112, 7165])).
% 7.37/5.21 tff(7170,plain,
% 7.37/5.21 (~always3(s103)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7169, 7158])).
% 7.37/5.21 tff(7171,plain,
% 7.37/5.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s103) | (~node4(s103)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s103) | (~node4(s103)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7172,plain,
% 7.37/5.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s103) | (~node4(s103)))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7173,plain,
% 7.37/5.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s103) | (~node4(s103))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7172, 7171])).
% 7.37/5.21 tff(7174,plain,
% 7.37/5.21 (~node4(s103)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7173, 16, 7170])).
% 7.37/5.21 tff(7175,plain,
% 7.37/5.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s104) | (~node4(s104)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s104) | (~node4(s104)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.37/5.21 tff(7176,plain,
% 7.37/5.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s104) | (~node4(s104)))),
% 7.37/5.21 inference(quant_inst,[status(thm)],[])).
% 7.37/5.21 tff(7177,plain,
% 7.37/5.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s104) | (~node4(s104))),
% 7.37/5.21 inference(modus_ponens,[status(thm)],[7176, 7175])).
% 7.37/5.21 tff(7178,plain,
% 7.37/5.21 (~node4(s104)),
% 7.37/5.21 inference(unit_resolution,[status(thm)],[7177, 16, 7158])).
% 7.37/5.21 tff(7179,plain,
% 7.37/5.21 (((~![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)))),
% 7.37/5.21 inference(rewrite,[status(thm)],[])).
% 7.44/5.21 tff(7180,plain,
% 7.44/5.21 ((node4(s104) | (~until5(s104)) | xuntil6(s104)) <=> (xuntil6(s104) | node4(s104) | (~until5(s104)))),
% 7.44/5.21 inference(rewrite,[status(thm)],[])).
% 7.44/5.21 tff(7181,plain,
% 7.44/5.21 (((~![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))))),
% 7.44/5.21 inference(monotonicity,[status(thm)],[7180])).
% 7.44/5.21 tff(7182,plain,
% 7.44/5.21 (((~![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)))),
% 7.44/5.21 inference(transitivity,[status(thm)],[7181, 7179])).
% 7.44/5.21 tff(7183,plain,
% 7.44/5.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s104) | (~until5(s104)) | xuntil6(s104))),
% 7.44/5.21 inference(quant_inst,[status(thm)],[])).
% 7.44/5.21 tff(7184,plain,
% 7.44/5.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s104) | node4(s104) | (~until5(s104))),
% 7.44/5.21 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 7.44/5.21 tff(7185,plain,
% 7.44/5.21 (node4(s104) | (~until5(s104))),
% 7.44/5.21 inference(unit_resolution,[status(thm)],[7184, 352, 7157])).
% 7.44/5.21 tff(7186,plain,
% 7.44/5.21 (~until5(s104)),
% 7.44/5.21 inference(unit_resolution,[status(thm)],[7185, 7178])).
% 7.44/5.21 tff(7187,plain,
% 7.44/5.21 (((~![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))),
% 7.44/5.21 inference(rewrite,[status(thm)],[])).
% 7.44/5.21 tff(7188,plain,
% 7.44/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104))),
% 7.44/5.21 inference(quant_inst,[status(thm)],[])).
% 7.44/5.21 tff(7189,plain,
% 7.44/5.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104)),
% 7.44/5.21 inference(modus_ponens,[status(thm)],[7188, 7187])).
% 7.44/5.21 tff(7190,plain,
% 7.44/5.21 ((~xuntil6(s103)) | until5(s104)),
% 7.44/5.21 inference(unit_resolution,[status(thm)],[7189, 7161, 370])).
% 7.44/5.21 tff(7191,plain,
% 7.44/5.21 (~xuntil6(s103)),
% 7.44/5.21 inference(unit_resolution,[status(thm)],[7190, 7186])).
% 7.44/5.21 tff(7192,plain,
% 7.44/5.21 (((~![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)))),
% 7.44/5.21 inference(rewrite,[status(thm)],[])).
% 7.44/5.21 tff(7193,plain,
% 7.44/5.21 ((node4(s103) | (~until5(s103)) | xuntil6(s103)) <=> (xuntil6(s103) | node4(s103) | (~until5(s103)))),
% 7.44/5.21 inference(rewrite,[status(thm)],[])).
% 7.44/5.21 tff(7194,plain,
% 7.44/5.21 (((~![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))))),
% 7.44/5.21 inference(monotonicity,[status(thm)],[7193])).
% 7.44/5.21 tff(7195,plain,
% 7.44/5.21 (((~![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)))),
% 7.44/5.21 inference(transitivity,[status(thm)],[7194, 7192])).
% 7.44/5.21 tff(7196,plain,
% 7.44/5.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s103) | (~until5(s103)) | xuntil6(s103))),
% 7.44/5.21 inference(quant_inst,[status(thm)],[])).
% 7.44/5.21 tff(7197,plain,
% 7.44/5.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s103) | node4(s103) | (~until5(s103))),
% 7.44/5.21 inference(modus_ponens,[status(thm)],[7196, 7195])).
% 7.44/5.21 tff(7198,plain,
% 7.44/5.21 (~until5(s103)),
% 7.44/5.21 inference(unit_resolution,[status(thm)],[7197, 352, 7191, 7174])).
% 7.44/5.21 tff(7199,plain,
% 7.44/5.21 (~xuntil6(s102)),
% 7.44/5.21 inference(unit_resolution,[status(thm)],[7155, 7198])).
% 7.44/5.21 tff(7200,plain,
% 7.44/5.21 (~until5(s102)),
% 7.44/5.21 inference(unit_resolution,[status(thm)],[7150, 7199])).
% 7.44/5.21 tff(7201,plain,
% 7.44/5.21 (~xuntil6(s101)),
% 7.44/5.21 inference(unit_resolution,[status(thm)],[7099, 7200])).
% 7.44/5.21 tff(7202,plain,
% 7.44/5.21 (~until5(s101)),
% 7.44/5.21 inference(unit_resolution,[status(thm)],[7094, 7201])).
% 7.44/5.22 tff(7203,plain,
% 7.44/5.22 (~xuntil6(s100)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7043, 7202])).
% 7.44/5.22 tff(7204,plain,
% 7.44/5.22 (~until5(s100)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7038, 7203])).
% 7.44/5.22 tff(7205,plain,
% 7.44/5.22 (~xuntil6(s99)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6987, 7204])).
% 7.44/5.22 tff(7206,plain,
% 7.44/5.22 (~until5(s99)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6982, 7205])).
% 7.44/5.22 tff(7207,plain,
% 7.44/5.22 (~always3(s102)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7120, 7170])).
% 7.44/5.22 tff(7208,plain,
% 7.44/5.22 (~always3(s101)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7064, 7207])).
% 7.44/5.22 tff(7209,plain,
% 7.44/5.22 (~always3(s100)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7008, 7208])).
% 7.44/5.22 tff(7210,plain,
% 7.44/5.22 (~always3(s99)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6952, 7209])).
% 7.44/5.22 tff(7211,plain,
% 7.44/5.22 (~always3(s98)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6896, 7210])).
% 7.44/5.22 tff(7212,plain,
% 7.44/5.22 (~always3(s97)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6840, 7211])).
% 7.44/5.22 tff(7213,plain,
% 7.44/5.22 (~always3(s96)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6784, 7212])).
% 7.44/5.22 tff(7214,plain,
% 7.44/5.22 (~always3(s95)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6728, 7213])).
% 7.44/5.22 tff(7215,plain,
% 7.44/5.22 (~always3(s94)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6672, 7214])).
% 7.44/5.22 tff(7216,plain,
% 7.44/5.22 (~node4(s94)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6639, 16, 7215])).
% 7.44/5.22 tff(7217,plain,
% 7.44/5.22 (~always3(s93)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6598, 7215])).
% 7.44/5.22 tff(7218,plain,
% 7.44/5.22 (~always3(s92)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6158, 7217])).
% 7.44/5.22 tff(7219,plain,
% 7.44/5.22 (~node4(s92)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6146, 16, 7218])).
% 7.44/5.22 tff(7220,plain,
% 7.44/5.22 (~always3(s91)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6519, 7218])).
% 7.44/5.22 tff(7221,plain,
% 7.44/5.22 (xuntil6(s91)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6502, 7220])).
% 7.44/5.22 tff(7222,plain,
% 7.44/5.22 (until5(s92)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6209, 7221])).
% 7.44/5.22 tff(7223,plain,
% 7.44/5.22 (xuntil6(s92) | node4(s92)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6201, 352, 7222])).
% 7.44/5.22 tff(7224,plain,
% 7.44/5.22 (xuntil6(s92)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7223, 7219])).
% 7.44/5.22 tff(7225,plain,
% 7.44/5.22 (until5(s93)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6577, 7224])).
% 7.44/5.22 tff(7226,plain,
% 7.44/5.22 (xuntil6(s93)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6628, 7225])).
% 7.44/5.22 tff(7227,plain,
% 7.44/5.22 (until5(s94)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6633, 7226])).
% 7.44/5.22 tff(7228,plain,
% 7.44/5.22 (xuntil6(s94)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6646, 352, 7227, 7216])).
% 7.44/5.22 tff(7229,plain,
% 7.44/5.22 (until5(s95)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6707, 7228])).
% 7.44/5.22 tff(7230,plain,
% 7.44/5.22 (xuntil6(s95)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6758, 7229])).
% 7.44/5.22 tff(7231,plain,
% 7.44/5.22 (until5(s96)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6763, 7230])).
% 7.44/5.22 tff(7232,plain,
% 7.44/5.22 (xuntil6(s96)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6814, 7231])).
% 7.44/5.22 tff(7233,plain,
% 7.44/5.22 (until5(s97)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6819, 7232])).
% 7.44/5.22 tff(7234,plain,
% 7.44/5.22 (xuntil6(s97)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6870, 7233])).
% 7.44/5.22 tff(7235,plain,
% 7.44/5.22 (until5(s98)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6875, 7234])).
% 7.44/5.22 tff(7236,plain,
% 7.44/5.22 (xuntil6(s98)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6926, 7235])).
% 7.44/5.22 tff(7237,plain,
% 7.44/5.22 ($false),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[6931, 7236, 7206])).
% 7.44/5.22 tff(7238,plain,(always3(s104) | xuntil6(s104)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.22 tff(7239,plain,
% 7.44/5.22 (always3(s104)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7238, 7157])).
% 7.44/5.22 tff(7240,plain,
% 7.44/5.22 (succ(s104, s105) <=> succ(s104, s105)),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7241,axiom,(succ(s104, s105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound105')).
% 7.44/5.22 tff(7242,plain,
% 7.44/5.22 (succ(s104, s105)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7241, 7240])).
% 7.44/5.22 tff(7243,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7244,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7245,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 7.44/5.22 tff(7246,plain,
% 7.44/5.22 (trans(s104, s105)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7245, 7242, 39])).
% 7.44/5.22 tff(7247,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7248,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s104, s105)) | (~always3(s104)) | always3(s105))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7249,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s104, s105)) | (~always3(s104)) | always3(s105)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7248, 7247])).
% 7.44/5.22 tff(7250,plain,
% 7.44/5.22 ((~always3(s104)) | always3(s105)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7249, 112, 7246])).
% 7.44/5.22 tff(7251,plain,
% 7.44/5.22 (always3(s105)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7250, 7239])).
% 7.44/5.22 tff(7252,plain,
% 7.44/5.22 (((~![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)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7253,plain,
% 7.44/5.22 (((~m_main_v_state(s105, c_busy)) | (~always3(s105))) <=> ((~always3(s105)) | (~m_main_v_state(s105, c_busy)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7254,plain,
% 7.44/5.22 (((~![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))))),
% 7.44/5.22 inference(monotonicity,[status(thm)],[7253])).
% 7.44/5.22 tff(7255,plain,
% 7.44/5.22 (((~![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)))),
% 7.44/5.22 inference(transitivity,[status(thm)],[7254, 7252])).
% 7.44/5.22 tff(7256,plain,
% 7.44/5.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s105, c_busy)) | (~always3(s105)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7257,plain,
% 7.44/5.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s105)) | (~m_main_v_state(s105, c_busy))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7256, 7255])).
% 7.44/5.22 tff(7258,plain,
% 7.44/5.22 (~m_main_v_state(s105, c_busy)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7257, 72, 7251])).
% 7.44/5.22 tff(7259,plain,
% 7.44/5.22 (((~![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)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7260,plain,
% 7.44/5.22 (((~m_main_v_state(s104, c_busy)) | (~always3(s104))) <=> ((~always3(s104)) | (~m_main_v_state(s104, c_busy)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7261,plain,
% 7.44/5.22 (((~![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))))),
% 7.44/5.22 inference(monotonicity,[status(thm)],[7260])).
% 7.44/5.22 tff(7262,plain,
% 7.44/5.22 (((~![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)))),
% 7.44/5.22 inference(transitivity,[status(thm)],[7261, 7259])).
% 7.44/5.22 tff(7263,plain,
% 7.44/5.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s104, c_busy)) | (~always3(s104)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7264,plain,
% 7.44/5.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s104)) | (~m_main_v_state(s104, c_busy))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7263, 7262])).
% 7.44/5.22 tff(7265,plain,
% 7.44/5.22 (~m_main_v_state(s104, c_busy)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7264, 72, 7239])).
% 7.44/5.22 tff(7266,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7267,plain,
% 7.44/5.22 ((~![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))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7268,plain,
% 7.44/5.22 ((~![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)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7267, 7266])).
% 7.44/5.22 tff(7269,plain,
% 7.44/5.22 (m_main_v_state(s104, c_ready)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7268, 89, 7265])).
% 7.44/5.22 tff(7270,assumption,(~m_main_v_state(s104, c_busy)), introduced(assumption)).
% 7.44/5.22 tff(7271,assumption,(node4(s103)), introduced(assumption)).
% 7.44/5.22 tff(7272,plain,
% 7.44/5.22 (((~![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)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7273,plain,
% 7.44/5.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s103) | (~node4(s103)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7274,plain,
% 7.44/5.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s103) | (~node4(s103))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7273, 7272])).
% 7.44/5.22 tff(7275,plain,
% 7.44/5.22 (m_main_v_request(s103)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7274, 28, 7271])).
% 7.44/5.22 tff(7276,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7277,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s103, s104)) | node2(s103, s104))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7278,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s103, s104)) | node2(s103, s104)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7277, 7276])).
% 7.44/5.22 tff(7279,plain,
% 7.44/5.22 (node2(s103, s104)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7278, 7, 7165])).
% 7.44/5.22 tff(7280,plain,
% 7.44/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7281,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7282,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7281, 7280])).
% 7.44/5.22 tff(7283,plain,
% 7.44/5.22 ((~m_main_v_state(s103, c_ready)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103))),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7282, 60, 7279])).
% 7.44/5.22 tff(7284,plain,
% 7.44/5.22 (~m_main_v_state(s103, c_ready)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7283, 7275, 7270])).
% 7.44/5.22 tff(7285,plain,
% 7.44/5.22 (always3(s103)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7173, 16, 7271])).
% 7.44/5.22 tff(7286,plain,
% 7.44/5.22 (~m_main_v_state(s103, c_busy)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7127, 72, 7285])).
% 7.44/5.22 tff(7287,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7288,plain,
% 7.44/5.22 ((~![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))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7289,plain,
% 7.44/5.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s103, c_busy) | m_main_v_state(s103, c_ready)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7288, 7287])).
% 7.44/5.22 tff(7290,plain,
% 7.44/5.22 ($false),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7289, 89, 7286, 7284])).
% 7.44/5.22 tff(7291,plain,((~node4(s103)) | m_main_v_state(s104, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.22 tff(7292,plain,
% 7.44/5.22 (~node4(s103)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7291, 7265])).
% 7.44/5.22 tff(7293,assumption,(until5(s103)), introduced(assumption)).
% 7.44/5.22 tff(7294,plain,
% 7.44/5.22 (xuntil6(s103) | node4(s103)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7197, 352, 7293])).
% 7.44/5.22 tff(7295,plain,
% 7.44/5.22 (xuntil6(s103)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7294, 7292])).
% 7.44/5.22 tff(7296,plain,
% 7.44/5.22 (until5(s104)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7190, 7295])).
% 7.44/5.22 tff(7297,plain,
% 7.44/5.22 (node4(s104)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7185, 7296])).
% 7.44/5.22 tff(7298,plain,
% 7.44/5.22 (((~![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)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7299,plain,
% 7.44/5.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s104) | (~node4(s104)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7300,plain,
% 7.44/5.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s104) | (~node4(s104))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7299, 7298])).
% 7.44/5.22 tff(7301,plain,
% 7.44/5.22 (m_main_v_request(s104)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7300, 28, 7297])).
% 7.44/5.22 tff(7302,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7303,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s104, s105)) | node2(s104, s105))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7304,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s104, s105)) | node2(s104, s105)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7303, 7302])).
% 7.44/5.22 tff(7305,plain,
% 7.44/5.22 (node2(s104, s105)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7304, 7, 7246])).
% 7.44/5.22 tff(7306,plain,
% 7.44/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7307,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7308,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7307, 7306])).
% 7.44/5.22 tff(7309,plain,
% 7.44/5.22 ((~m_main_v_state(s104, c_ready)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104))),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7308, 60, 7305])).
% 7.44/5.22 tff(7310,plain,
% 7.44/5.22 ($false),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7309, 7301, 7269, 7258])).
% 7.44/5.22 tff(7311,plain,(xuntil6(s104) | (~until5(s103))), inference(lemma,lemma(discharge,[]))).
% 7.44/5.22 tff(7312,plain,
% 7.44/5.22 (xuntil6(s104)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7311, 7156])).
% 7.44/5.22 tff(7313,plain,
% 7.44/5.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7314,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7315,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7314, 7313])).
% 7.44/5.22 tff(7316,plain,
% 7.44/5.22 ((~xuntil6(s104)) | until5(s105)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7315, 7242, 370])).
% 7.44/5.22 tff(7317,plain,
% 7.44/5.22 (until5(s105)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7316, 7312])).
% 7.44/5.22 tff(7318,assumption,(node4(s105)), introduced(assumption)).
% 7.44/5.22 tff(7319,plain,
% 7.44/5.22 (((~![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)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7320,plain,
% 7.44/5.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s105) | (~node4(s105)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7321,plain,
% 7.44/5.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s105) | (~node4(s105))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7320, 7319])).
% 7.44/5.22 tff(7322,plain,
% 7.44/5.22 (m_main_v_request(s105)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7321, 28, 7318])).
% 7.44/5.22 tff(7323,plain,
% 7.44/5.22 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s105) | (~node4(s105)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s105) | (~node4(s105)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7324,plain,
% 7.44/5.22 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s105) | (~node4(s105)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7325,plain,
% 7.44/5.22 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s105) | (~node4(s105))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7324, 7323])).
% 7.44/5.22 tff(7326,plain,
% 7.44/5.22 (always3(s105)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7325, 16, 7318])).
% 7.44/5.22 tff(7327,plain,
% 7.44/5.22 (succ(s105, s106) <=> succ(s105, s106)),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7328,axiom,(succ(s105, s106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound106')).
% 7.44/5.22 tff(7329,plain,
% 7.44/5.22 (succ(s105, s106)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7328, 7327])).
% 7.44/5.22 tff(7330,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7331,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7332,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7331, 7330])).
% 7.44/5.22 tff(7333,plain,
% 7.44/5.22 (trans(s105, s106)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7332, 7329, 39])).
% 7.44/5.22 tff(7334,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7335,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s105, s106)) | (~always3(s105)) | always3(s106))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7336,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s105, s106)) | (~always3(s105)) | always3(s106)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7335, 7334])).
% 7.44/5.22 tff(7337,plain,
% 7.44/5.22 ((~always3(s105)) | always3(s106)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7336, 112, 7333])).
% 7.44/5.22 tff(7338,plain,
% 7.44/5.22 (always3(s106)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7337, 7326])).
% 7.44/5.22 tff(7339,plain,
% 7.44/5.22 (((~![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)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7340,plain,
% 7.44/5.22 (((~m_main_v_state(s106, c_busy)) | (~always3(s106))) <=> ((~always3(s106)) | (~m_main_v_state(s106, c_busy)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7341,plain,
% 7.44/5.22 (((~![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))))),
% 7.44/5.22 inference(monotonicity,[status(thm)],[7340])).
% 7.44/5.22 tff(7342,plain,
% 7.44/5.22 (((~![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)))),
% 7.44/5.22 inference(transitivity,[status(thm)],[7341, 7339])).
% 7.44/5.22 tff(7343,plain,
% 7.44/5.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s106, c_busy)) | (~always3(s106)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7344,plain,
% 7.44/5.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s106)) | (~m_main_v_state(s106, c_busy))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7343, 7342])).
% 7.44/5.22 tff(7345,plain,
% 7.44/5.22 (~m_main_v_state(s106, c_busy)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7344, 72, 7338])).
% 7.44/5.22 tff(7346,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7347,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s105, s106)) | node2(s105, s106))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7348,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s105, s106)) | node2(s105, s106)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7347, 7346])).
% 7.44/5.22 tff(7349,plain,
% 7.44/5.22 (node2(s105, s106)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7348, 7, 7333])).
% 7.44/5.22 tff(7350,plain,
% 7.44/5.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7351,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7352,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7351, 7350])).
% 7.44/5.22 tff(7353,plain,
% 7.44/5.22 ((~m_main_v_state(s105, c_ready)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105))),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7352, 60, 7349])).
% 7.44/5.22 tff(7354,plain,
% 7.44/5.22 (~m_main_v_state(s105, c_ready)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7353, 7345, 7322])).
% 7.44/5.22 tff(7355,plain,
% 7.44/5.22 (~m_main_v_state(s105, c_busy)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7257, 72, 7326])).
% 7.44/5.22 tff(7356,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7357,plain,
% 7.44/5.22 ((~![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))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7358,plain,
% 7.44/5.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s105, c_busy) | m_main_v_state(s105, c_ready)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7357, 7356])).
% 7.44/5.22 tff(7359,plain,
% 7.44/5.22 ($false),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7358, 89, 7355, 7354])).
% 7.44/5.22 tff(7360,plain,(~node4(s105)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.22 tff(7361,plain,
% 7.44/5.22 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s105) | node4(s105) | (~until5(s105)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s105) | node4(s105) | (~until5(s105)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7362,plain,
% 7.44/5.22 ((node4(s105) | (~until5(s105)) | xuntil6(s105)) <=> (xuntil6(s105) | node4(s105) | (~until5(s105)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7363,plain,
% 7.44/5.22 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s105) | (~until5(s105)) | xuntil6(s105))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s105) | node4(s105) | (~until5(s105))))),
% 7.44/5.22 inference(monotonicity,[status(thm)],[7362])).
% 7.44/5.22 tff(7364,plain,
% 7.44/5.22 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s105) | (~until5(s105)) | xuntil6(s105))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s105) | node4(s105) | (~until5(s105)))),
% 7.44/5.22 inference(transitivity,[status(thm)],[7363, 7361])).
% 7.44/5.22 tff(7365,plain,
% 7.44/5.22 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s105) | (~until5(s105)) | xuntil6(s105))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7366,plain,
% 7.44/5.22 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s105) | node4(s105) | (~until5(s105))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7365, 7364])).
% 7.44/5.22 tff(7367,plain,
% 7.44/5.22 (xuntil6(s105) | (~until5(s105))),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7366, 352, 7360])).
% 7.44/5.22 tff(7368,plain,
% 7.44/5.22 (xuntil6(s105)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7367, 7317])).
% 7.44/5.22 tff(7369,plain,
% 7.44/5.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7370,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7371,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7370, 7369])).
% 7.44/5.22 tff(7372,plain,
% 7.44/5.22 ((~xuntil6(s105)) | until5(s106)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7371, 7329, 370])).
% 7.44/5.22 tff(7373,plain,
% 7.44/5.22 (until5(s106)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7372, 7368])).
% 7.44/5.22 tff(7374,assumption,(node4(s106)), introduced(assumption)).
% 7.44/5.22 tff(7375,plain,
% 7.44/5.22 (((~![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)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7376,plain,
% 7.44/5.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s106) | (~node4(s106)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7377,plain,
% 7.44/5.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s106) | (~node4(s106))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7376, 7375])).
% 7.44/5.22 tff(7378,plain,
% 7.44/5.22 (m_main_v_request(s106)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7377, 28, 7374])).
% 7.44/5.22 tff(7379,plain,
% 7.44/5.22 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s106) | (~node4(s106)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s106) | (~node4(s106)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7380,plain,
% 7.44/5.22 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s106) | (~node4(s106)))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7381,plain,
% 7.44/5.22 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s106) | (~node4(s106))),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7380, 7379])).
% 7.44/5.22 tff(7382,plain,
% 7.44/5.22 (always3(s106)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7381, 16, 7374])).
% 7.44/5.22 tff(7383,plain,
% 7.44/5.22 (succ(s106, s107) <=> succ(s106, s107)),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7384,axiom,(succ(s106, s107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound107')).
% 7.44/5.22 tff(7385,plain,
% 7.44/5.22 (succ(s106, s107)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7384, 7383])).
% 7.44/5.22 tff(7386,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7387,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7388,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7387, 7386])).
% 7.44/5.22 tff(7389,plain,
% 7.44/5.22 (trans(s106, s107)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7388, 7385, 39])).
% 7.44/5.22 tff(7390,plain,
% 7.44/5.22 (((~![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))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.22 tff(7391,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s106, s107)) | (~always3(s106)) | always3(s107))),
% 7.44/5.22 inference(quant_inst,[status(thm)],[])).
% 7.44/5.22 tff(7392,plain,
% 7.44/5.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s106, s107)) | (~always3(s106)) | always3(s107)),
% 7.44/5.22 inference(modus_ponens,[status(thm)],[7391, 7390])).
% 7.44/5.22 tff(7393,plain,
% 7.44/5.22 ((~always3(s106)) | always3(s107)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7392, 112, 7389])).
% 7.44/5.22 tff(7394,plain,
% 7.44/5.22 (always3(s107)),
% 7.44/5.22 inference(unit_resolution,[status(thm)],[7393, 7382])).
% 7.44/5.22 tff(7395,plain,
% 7.44/5.22 (((~![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)))),
% 7.44/5.22 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7396,plain,
% 7.44/5.23 (((~m_main_v_state(s107, c_busy)) | (~always3(s107))) <=> ((~always3(s107)) | (~m_main_v_state(s107, c_busy)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7397,plain,
% 7.44/5.23 (((~![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))))),
% 7.44/5.23 inference(monotonicity,[status(thm)],[7396])).
% 7.44/5.23 tff(7398,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.23 inference(transitivity,[status(thm)],[7397, 7395])).
% 7.44/5.23 tff(7399,plain,
% 7.44/5.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s107, c_busy)) | (~always3(s107)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7400,plain,
% 7.44/5.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s107)) | (~m_main_v_state(s107, c_busy))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7399, 7398])).
% 7.44/5.23 tff(7401,plain,
% 7.44/5.23 (~m_main_v_state(s107, c_busy)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7400, 72, 7394])).
% 7.44/5.23 tff(7402,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7403,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s106, s107)) | node2(s106, s107))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7404,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s106, s107)) | node2(s106, s107)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7403, 7402])).
% 7.44/5.23 tff(7405,plain,
% 7.44/5.23 (node2(s106, s107)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7404, 7, 7389])).
% 7.44/5.23 tff(7406,plain,
% 7.44/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7407,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7408,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7407, 7406])).
% 7.44/5.23 tff(7409,plain,
% 7.44/5.23 ((~m_main_v_state(s106, c_ready)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106))),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7408, 60, 7405])).
% 7.44/5.23 tff(7410,plain,
% 7.44/5.23 (~m_main_v_state(s106, c_ready)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7409, 7401, 7378])).
% 7.44/5.23 tff(7411,plain,
% 7.44/5.23 (~m_main_v_state(s106, c_busy)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7344, 72, 7382])).
% 7.44/5.23 tff(7412,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7413,plain,
% 7.44/5.23 ((~![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))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7414,plain,
% 7.44/5.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s106, c_busy) | m_main_v_state(s106, c_ready)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7413, 7412])).
% 7.44/5.23 tff(7415,plain,
% 7.44/5.23 ($false),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7414, 89, 7411, 7410])).
% 7.44/5.23 tff(7416,plain,(~node4(s106)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.23 tff(7417,plain,
% 7.44/5.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s106) | node4(s106) | (~until5(s106)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s106) | node4(s106) | (~until5(s106)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7418,plain,
% 7.44/5.23 ((node4(s106) | (~until5(s106)) | xuntil6(s106)) <=> (xuntil6(s106) | node4(s106) | (~until5(s106)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7419,plain,
% 7.44/5.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s106) | (~until5(s106)) | xuntil6(s106))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s106) | node4(s106) | (~until5(s106))))),
% 7.44/5.23 inference(monotonicity,[status(thm)],[7418])).
% 7.44/5.23 tff(7420,plain,
% 7.44/5.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s106) | (~until5(s106)) | xuntil6(s106))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s106) | node4(s106) | (~until5(s106)))),
% 7.44/5.23 inference(transitivity,[status(thm)],[7419, 7417])).
% 7.44/5.23 tff(7421,plain,
% 7.44/5.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s106) | (~until5(s106)) | xuntil6(s106))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7422,plain,
% 7.44/5.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s106) | node4(s106) | (~until5(s106))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 7.44/5.23 tff(7423,plain,
% 7.44/5.23 (xuntil6(s106) | (~until5(s106))),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7422, 352, 7416])).
% 7.44/5.23 tff(7424,plain,
% 7.44/5.23 (xuntil6(s106)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7423, 7373])).
% 7.44/5.23 tff(7425,plain,
% 7.44/5.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7426,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7427,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7426, 7425])).
% 7.44/5.23 tff(7428,plain,
% 7.44/5.23 ((~xuntil6(s106)) | until5(s107)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7427, 7385, 370])).
% 7.44/5.23 tff(7429,plain,
% 7.44/5.23 (until5(s107)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7428, 7424])).
% 7.44/5.23 tff(7430,assumption,(node4(s107)), introduced(assumption)).
% 7.44/5.23 tff(7431,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7432,plain,
% 7.44/5.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s107) | (~node4(s107)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7433,plain,
% 7.44/5.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s107) | (~node4(s107))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7432, 7431])).
% 7.44/5.23 tff(7434,plain,
% 7.44/5.23 (m_main_v_request(s107)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7433, 28, 7430])).
% 7.44/5.23 tff(7435,plain,
% 7.44/5.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s107) | (~node4(s107)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s107) | (~node4(s107)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7436,plain,
% 7.44/5.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s107) | (~node4(s107)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7437,plain,
% 7.44/5.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s107) | (~node4(s107))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7436, 7435])).
% 7.44/5.23 tff(7438,plain,
% 7.44/5.23 (always3(s107)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7437, 16, 7430])).
% 7.44/5.23 tff(7439,plain,
% 7.44/5.23 (succ(s107, s108) <=> succ(s107, s108)),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7440,axiom,(succ(s107, s108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound108')).
% 7.44/5.23 tff(7441,plain,
% 7.44/5.23 (succ(s107, s108)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7440, 7439])).
% 7.44/5.23 tff(7442,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7443,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7444,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7443, 7442])).
% 7.44/5.23 tff(7445,plain,
% 7.44/5.23 (trans(s107, s108)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7444, 7441, 39])).
% 7.44/5.23 tff(7446,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7447,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s107, s108)) | (~always3(s107)) | always3(s108))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7448,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s107, s108)) | (~always3(s107)) | always3(s108)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7447, 7446])).
% 7.44/5.23 tff(7449,plain,
% 7.44/5.23 ((~always3(s107)) | always3(s108)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7448, 112, 7445])).
% 7.44/5.23 tff(7450,plain,
% 7.44/5.23 (always3(s108)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7449, 7438])).
% 7.44/5.23 tff(7451,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7452,plain,
% 7.44/5.23 (((~m_main_v_state(s108, c_busy)) | (~always3(s108))) <=> ((~always3(s108)) | (~m_main_v_state(s108, c_busy)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7453,plain,
% 7.44/5.23 (((~![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))))),
% 7.44/5.23 inference(monotonicity,[status(thm)],[7452])).
% 7.44/5.23 tff(7454,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.23 inference(transitivity,[status(thm)],[7453, 7451])).
% 7.44/5.23 tff(7455,plain,
% 7.44/5.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s108, c_busy)) | (~always3(s108)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7456,plain,
% 7.44/5.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s108)) | (~m_main_v_state(s108, c_busy))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7455, 7454])).
% 7.44/5.23 tff(7457,plain,
% 7.44/5.23 (~m_main_v_state(s108, c_busy)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7456, 72, 7450])).
% 7.44/5.23 tff(7458,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7459,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s107, s108)) | node2(s107, s108))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7460,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s107, s108)) | node2(s107, s108)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7459, 7458])).
% 7.44/5.23 tff(7461,plain,
% 7.44/5.23 (node2(s107, s108)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7460, 7, 7445])).
% 7.44/5.23 tff(7462,plain,
% 7.44/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7463,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7464,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7463, 7462])).
% 7.44/5.23 tff(7465,plain,
% 7.44/5.23 ((~m_main_v_state(s107, c_ready)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107))),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7464, 60, 7461])).
% 7.44/5.23 tff(7466,plain,
% 7.44/5.23 (~m_main_v_state(s107, c_ready)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7465, 7457, 7434])).
% 7.44/5.23 tff(7467,plain,
% 7.44/5.23 (~m_main_v_state(s107, c_busy)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7400, 72, 7438])).
% 7.44/5.23 tff(7468,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7469,plain,
% 7.44/5.23 ((~![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))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7470,plain,
% 7.44/5.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s107, c_busy) | m_main_v_state(s107, c_ready)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7469, 7468])).
% 7.44/5.23 tff(7471,plain,
% 7.44/5.23 ($false),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7470, 89, 7467, 7466])).
% 7.44/5.23 tff(7472,plain,(~node4(s107)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.23 tff(7473,plain,
% 7.44/5.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s107) | node4(s107) | (~until5(s107)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s107) | node4(s107) | (~until5(s107)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7474,plain,
% 7.44/5.23 ((node4(s107) | (~until5(s107)) | xuntil6(s107)) <=> (xuntil6(s107) | node4(s107) | (~until5(s107)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7475,plain,
% 7.44/5.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s107) | (~until5(s107)) | xuntil6(s107))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s107) | node4(s107) | (~until5(s107))))),
% 7.44/5.23 inference(monotonicity,[status(thm)],[7474])).
% 7.44/5.23 tff(7476,plain,
% 7.44/5.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s107) | (~until5(s107)) | xuntil6(s107))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s107) | node4(s107) | (~until5(s107)))),
% 7.44/5.23 inference(transitivity,[status(thm)],[7475, 7473])).
% 7.44/5.23 tff(7477,plain,
% 7.44/5.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s107) | (~until5(s107)) | xuntil6(s107))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7478,plain,
% 7.44/5.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s107) | node4(s107) | (~until5(s107))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7477, 7476])).
% 7.44/5.23 tff(7479,plain,
% 7.44/5.23 (xuntil6(s107) | (~until5(s107))),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7478, 352, 7472])).
% 7.44/5.23 tff(7480,plain,
% 7.44/5.23 (xuntil6(s107)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7479, 7429])).
% 7.44/5.23 tff(7481,plain,
% 7.44/5.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7482,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7483,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7482, 7481])).
% 7.44/5.23 tff(7484,plain,
% 7.44/5.23 ((~xuntil6(s107)) | until5(s108)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7483, 7441, 370])).
% 7.44/5.23 tff(7485,plain,
% 7.44/5.23 (until5(s108)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7484, 7480])).
% 7.44/5.23 tff(7486,assumption,(node4(s108)), introduced(assumption)).
% 7.44/5.23 tff(7487,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7488,plain,
% 7.44/5.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s108) | (~node4(s108)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7489,plain,
% 7.44/5.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s108) | (~node4(s108))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7488, 7487])).
% 7.44/5.23 tff(7490,plain,
% 7.44/5.23 (m_main_v_request(s108)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7489, 28, 7486])).
% 7.44/5.23 tff(7491,plain,
% 7.44/5.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s108) | (~node4(s108)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s108) | (~node4(s108)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7492,plain,
% 7.44/5.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s108) | (~node4(s108)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7493,plain,
% 7.44/5.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s108) | (~node4(s108))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 7.44/5.23 tff(7494,plain,
% 7.44/5.23 (always3(s108)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7493, 16, 7486])).
% 7.44/5.23 tff(7495,plain,
% 7.44/5.23 (succ(s108, s109) <=> succ(s108, s109)),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7496,axiom,(succ(s108, s109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound109')).
% 7.44/5.23 tff(7497,plain,
% 7.44/5.23 (succ(s108, s109)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7496, 7495])).
% 7.44/5.23 tff(7498,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7499,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7500,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7499, 7498])).
% 7.44/5.23 tff(7501,plain,
% 7.44/5.23 (trans(s108, s109)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7500, 7497, 39])).
% 7.44/5.23 tff(7502,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7503,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s108, s109)) | (~always3(s108)) | always3(s109))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7504,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s108, s109)) | (~always3(s108)) | always3(s109)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7503, 7502])).
% 7.44/5.23 tff(7505,plain,
% 7.44/5.23 ((~always3(s108)) | always3(s109)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7504, 112, 7501])).
% 7.44/5.23 tff(7506,plain,
% 7.44/5.23 (always3(s109)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7505, 7494])).
% 7.44/5.23 tff(7507,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7508,plain,
% 7.44/5.23 (((~m_main_v_state(s109, c_busy)) | (~always3(s109))) <=> ((~always3(s109)) | (~m_main_v_state(s109, c_busy)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7509,plain,
% 7.44/5.23 (((~![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))))),
% 7.44/5.23 inference(monotonicity,[status(thm)],[7508])).
% 7.44/5.23 tff(7510,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.23 inference(transitivity,[status(thm)],[7509, 7507])).
% 7.44/5.23 tff(7511,plain,
% 7.44/5.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s109, c_busy)) | (~always3(s109)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7512,plain,
% 7.44/5.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s109)) | (~m_main_v_state(s109, c_busy))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7511, 7510])).
% 7.44/5.23 tff(7513,plain,
% 7.44/5.23 (~m_main_v_state(s109, c_busy)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7512, 72, 7506])).
% 7.44/5.23 tff(7514,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7515,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s108, s109)) | node2(s108, s109))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7516,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s108, s109)) | node2(s108, s109)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 7.44/5.23 tff(7517,plain,
% 7.44/5.23 (node2(s108, s109)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7516, 7, 7501])).
% 7.44/5.23 tff(7518,plain,
% 7.44/5.23 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7519,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7520,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7519, 7518])).
% 7.44/5.23 tff(7521,plain,
% 7.44/5.23 ((~m_main_v_state(s108, c_ready)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108))),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7520, 60, 7517])).
% 7.44/5.23 tff(7522,plain,
% 7.44/5.23 (~m_main_v_state(s108, c_ready)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7521, 7513, 7490])).
% 7.44/5.23 tff(7523,plain,
% 7.44/5.23 (~m_main_v_state(s108, c_busy)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7456, 72, 7494])).
% 7.44/5.23 tff(7524,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7525,plain,
% 7.44/5.23 ((~![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))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7526,plain,
% 7.44/5.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s108, c_busy) | m_main_v_state(s108, c_ready)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7525, 7524])).
% 7.44/5.23 tff(7527,plain,
% 7.44/5.23 ($false),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7526, 89, 7523, 7522])).
% 7.44/5.23 tff(7528,plain,(~node4(s108)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.23 tff(7529,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7530,plain,
% 7.44/5.23 ((node4(s108) | (~until5(s108)) | xuntil6(s108)) <=> (xuntil6(s108) | node4(s108) | (~until5(s108)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7531,plain,
% 7.44/5.23 (((~![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))))),
% 7.44/5.23 inference(monotonicity,[status(thm)],[7530])).
% 7.44/5.23 tff(7532,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.23 inference(transitivity,[status(thm)],[7531, 7529])).
% 7.44/5.23 tff(7533,plain,
% 7.44/5.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s108) | (~until5(s108)) | xuntil6(s108))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7534,plain,
% 7.44/5.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s108) | node4(s108) | (~until5(s108))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 7.44/5.23 tff(7535,plain,
% 7.44/5.23 (xuntil6(s108) | (~until5(s108))),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7534, 352, 7528])).
% 7.44/5.23 tff(7536,plain,
% 7.44/5.23 (xuntil6(s108)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7535, 7485])).
% 7.44/5.23 tff(7537,plain,
% 7.44/5.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7538,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7539,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 7.44/5.23 tff(7540,plain,
% 7.44/5.23 ((~xuntil6(s108)) | until5(s109)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7539, 7497, 370])).
% 7.44/5.23 tff(7541,plain,
% 7.44/5.23 (until5(s109)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7540, 7536])).
% 7.44/5.23 tff(7542,assumption,(node4(s109)), introduced(assumption)).
% 7.44/5.23 tff(7543,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7544,plain,
% 7.44/5.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s109) | (~node4(s109)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7545,plain,
% 7.44/5.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s109) | (~node4(s109))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7544, 7543])).
% 7.44/5.23 tff(7546,plain,
% 7.44/5.23 (m_main_v_request(s109)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7545, 28, 7542])).
% 7.44/5.23 tff(7547,plain,
% 7.44/5.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s109) | (~node4(s109)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s109) | (~node4(s109)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7548,plain,
% 7.44/5.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s109) | (~node4(s109)))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7549,plain,
% 7.44/5.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s109) | (~node4(s109))),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7548, 7547])).
% 7.44/5.23 tff(7550,plain,
% 7.44/5.23 (always3(s109)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7549, 16, 7542])).
% 7.44/5.23 tff(7551,plain,
% 7.44/5.23 (succ(s109, s110) <=> succ(s109, s110)),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7552,axiom,(succ(s109, s110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound110')).
% 7.44/5.23 tff(7553,plain,
% 7.44/5.23 (succ(s109, s110)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7552, 7551])).
% 7.44/5.23 tff(7554,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7555,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7556,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7555, 7554])).
% 7.44/5.23 tff(7557,plain,
% 7.44/5.23 (trans(s109, s110)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7556, 7553, 39])).
% 7.44/5.23 tff(7558,plain,
% 7.44/5.23 (((~![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))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7559,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s109, s110)) | (~always3(s109)) | always3(s110))),
% 7.44/5.23 inference(quant_inst,[status(thm)],[])).
% 7.44/5.23 tff(7560,plain,
% 7.44/5.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s109, s110)) | (~always3(s109)) | always3(s110)),
% 7.44/5.23 inference(modus_ponens,[status(thm)],[7559, 7558])).
% 7.44/5.23 tff(7561,plain,
% 7.44/5.23 ((~always3(s109)) | always3(s110)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7560, 112, 7557])).
% 7.44/5.23 tff(7562,plain,
% 7.44/5.23 (always3(s110)),
% 7.44/5.23 inference(unit_resolution,[status(thm)],[7561, 7550])).
% 7.44/5.23 tff(7563,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7564,plain,
% 7.44/5.23 (((~m_main_v_state(s110, c_busy)) | (~always3(s110))) <=> ((~always3(s110)) | (~m_main_v_state(s110, c_busy)))),
% 7.44/5.23 inference(rewrite,[status(thm)],[])).
% 7.44/5.23 tff(7565,plain,
% 7.44/5.23 (((~![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))))),
% 7.44/5.23 inference(monotonicity,[status(thm)],[7564])).
% 7.44/5.23 tff(7566,plain,
% 7.44/5.23 (((~![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)))),
% 7.44/5.24 inference(transitivity,[status(thm)],[7565, 7563])).
% 7.44/5.24 tff(7567,plain,
% 7.44/5.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s110, c_busy)) | (~always3(s110)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7568,plain,
% 7.44/5.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s110)) | (~m_main_v_state(s110, c_busy))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7567, 7566])).
% 7.44/5.24 tff(7569,plain,
% 7.44/5.24 (~m_main_v_state(s110, c_busy)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7568, 72, 7562])).
% 7.44/5.24 tff(7570,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7571,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s109, s110)) | node2(s109, s110))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7572,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s109, s110)) | node2(s109, s110)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7571, 7570])).
% 7.44/5.24 tff(7573,plain,
% 7.44/5.24 (node2(s109, s110)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7572, 7, 7557])).
% 7.44/5.24 tff(7574,plain,
% 7.44/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7575,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7576,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7575, 7574])).
% 7.44/5.24 tff(7577,plain,
% 7.44/5.24 ((~m_main_v_state(s109, c_ready)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109))),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7576, 60, 7573])).
% 7.44/5.24 tff(7578,plain,
% 7.44/5.24 (~m_main_v_state(s109, c_ready)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7577, 7569, 7546])).
% 7.44/5.24 tff(7579,plain,
% 7.44/5.24 (~m_main_v_state(s109, c_busy)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7512, 72, 7550])).
% 7.44/5.24 tff(7580,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7581,plain,
% 7.44/5.24 ((~![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))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7582,plain,
% 7.44/5.24 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s109, c_busy) | m_main_v_state(s109, c_ready)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7581, 7580])).
% 7.44/5.24 tff(7583,plain,
% 7.44/5.24 ($false),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7582, 89, 7579, 7578])).
% 7.44/5.24 tff(7584,plain,(~node4(s109)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.24 tff(7585,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7586,plain,
% 7.44/5.24 ((node4(s109) | (~until5(s109)) | xuntil6(s109)) <=> (xuntil6(s109) | node4(s109) | (~until5(s109)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7587,plain,
% 7.44/5.24 (((~![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))))),
% 7.44/5.24 inference(monotonicity,[status(thm)],[7586])).
% 7.44/5.24 tff(7588,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(transitivity,[status(thm)],[7587, 7585])).
% 7.44/5.24 tff(7589,plain,
% 7.44/5.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s109) | (~until5(s109)) | xuntil6(s109))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7590,plain,
% 7.44/5.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s109) | node4(s109) | (~until5(s109))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7589, 7588])).
% 7.44/5.24 tff(7591,plain,
% 7.44/5.24 (xuntil6(s109) | (~until5(s109))),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7590, 352, 7584])).
% 7.44/5.24 tff(7592,plain,
% 7.44/5.24 (xuntil6(s109)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7591, 7541])).
% 7.44/5.24 tff(7593,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7594,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7595,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7594, 7593])).
% 7.44/5.24 tff(7596,plain,
% 7.44/5.24 ((~xuntil6(s109)) | until5(s110)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7595, 7553, 370])).
% 7.44/5.24 tff(7597,plain,
% 7.44/5.24 (until5(s110)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7596, 7592])).
% 7.44/5.24 tff(7598,assumption,(node4(s110)), introduced(assumption)).
% 7.44/5.24 tff(7599,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7600,plain,
% 7.44/5.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s110) | (~node4(s110)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7601,plain,
% 7.44/5.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s110) | (~node4(s110))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7600, 7599])).
% 7.44/5.24 tff(7602,plain,
% 7.44/5.24 (m_main_v_request(s110)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7601, 28, 7598])).
% 7.44/5.24 tff(7603,plain,
% 7.44/5.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s110) | (~node4(s110)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s110) | (~node4(s110)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7604,plain,
% 7.44/5.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s110) | (~node4(s110)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7605,plain,
% 7.44/5.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s110) | (~node4(s110))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7604, 7603])).
% 7.44/5.24 tff(7606,plain,
% 7.44/5.24 (always3(s110)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7605, 16, 7598])).
% 7.44/5.24 tff(7607,plain,
% 7.44/5.24 (succ(s110, s111) <=> succ(s110, s111)),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7608,axiom,(succ(s110, s111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound111')).
% 7.44/5.24 tff(7609,plain,
% 7.44/5.24 (succ(s110, s111)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7608, 7607])).
% 7.44/5.24 tff(7610,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7611,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7612,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 7.44/5.24 tff(7613,plain,
% 7.44/5.24 (trans(s110, s111)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7612, 7609, 39])).
% 7.44/5.24 tff(7614,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7615,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s110, s111)) | (~always3(s110)) | always3(s111))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7616,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s110, s111)) | (~always3(s110)) | always3(s111)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 7.44/5.24 tff(7617,plain,
% 7.44/5.24 ((~always3(s110)) | always3(s111)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7616, 112, 7613])).
% 7.44/5.24 tff(7618,plain,
% 7.44/5.24 (always3(s111)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7617, 7606])).
% 7.44/5.24 tff(7619,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7620,plain,
% 7.44/5.24 (((~m_main_v_state(s111, c_busy)) | (~always3(s111))) <=> ((~always3(s111)) | (~m_main_v_state(s111, c_busy)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7621,plain,
% 7.44/5.24 (((~![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))))),
% 7.44/5.24 inference(monotonicity,[status(thm)],[7620])).
% 7.44/5.24 tff(7622,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(transitivity,[status(thm)],[7621, 7619])).
% 7.44/5.24 tff(7623,plain,
% 7.44/5.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s111, c_busy)) | (~always3(s111)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7624,plain,
% 7.44/5.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s111)) | (~m_main_v_state(s111, c_busy))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7623, 7622])).
% 7.44/5.24 tff(7625,plain,
% 7.44/5.24 (~m_main_v_state(s111, c_busy)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7624, 72, 7618])).
% 7.44/5.24 tff(7626,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7627,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s110, s111)) | node2(s110, s111))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7628,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s110, s111)) | node2(s110, s111)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7627, 7626])).
% 7.44/5.24 tff(7629,plain,
% 7.44/5.24 (node2(s110, s111)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7628, 7, 7613])).
% 7.44/5.24 tff(7630,plain,
% 7.44/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7631,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7632,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7631, 7630])).
% 7.44/5.24 tff(7633,plain,
% 7.44/5.24 ((~m_main_v_state(s110, c_ready)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110))),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7632, 60, 7629])).
% 7.44/5.24 tff(7634,plain,
% 7.44/5.24 (~m_main_v_state(s110, c_ready)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7633, 7625, 7602])).
% 7.44/5.24 tff(7635,plain,
% 7.44/5.24 (~m_main_v_state(s110, c_busy)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7568, 72, 7606])).
% 7.44/5.24 tff(7636,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7637,plain,
% 7.44/5.24 ((~![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))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7638,plain,
% 7.44/5.24 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s110, c_busy) | m_main_v_state(s110, c_ready)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7637, 7636])).
% 7.44/5.24 tff(7639,plain,
% 7.44/5.24 ($false),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7638, 89, 7635, 7634])).
% 7.44/5.24 tff(7640,plain,(~node4(s110)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.24 tff(7641,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7642,plain,
% 7.44/5.24 ((node4(s110) | (~until5(s110)) | xuntil6(s110)) <=> (xuntil6(s110) | node4(s110) | (~until5(s110)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7643,plain,
% 7.44/5.24 (((~![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))))),
% 7.44/5.24 inference(monotonicity,[status(thm)],[7642])).
% 7.44/5.24 tff(7644,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(transitivity,[status(thm)],[7643, 7641])).
% 7.44/5.24 tff(7645,plain,
% 7.44/5.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s110) | (~until5(s110)) | xuntil6(s110))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7646,plain,
% 7.44/5.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s110) | node4(s110) | (~until5(s110))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7645, 7644])).
% 7.44/5.24 tff(7647,plain,
% 7.44/5.24 (xuntil6(s110) | (~until5(s110))),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7646, 352, 7640])).
% 7.44/5.24 tff(7648,plain,
% 7.44/5.24 (xuntil6(s110)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7647, 7597])).
% 7.44/5.24 tff(7649,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7650,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7651,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7650, 7649])).
% 7.44/5.24 tff(7652,plain,
% 7.44/5.24 ((~xuntil6(s110)) | until5(s111)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7651, 7609, 370])).
% 7.44/5.24 tff(7653,plain,
% 7.44/5.24 (until5(s111)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7652, 7648])).
% 7.44/5.24 tff(7654,assumption,(node4(s111)), introduced(assumption)).
% 7.44/5.24 tff(7655,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7656,plain,
% 7.44/5.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s111) | (~node4(s111)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7657,plain,
% 7.44/5.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s111) | (~node4(s111))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7656, 7655])).
% 7.44/5.24 tff(7658,plain,
% 7.44/5.24 (m_main_v_request(s111)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7657, 28, 7654])).
% 7.44/5.24 tff(7659,plain,
% 7.44/5.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s111) | (~node4(s111)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s111) | (~node4(s111)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7660,plain,
% 7.44/5.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s111) | (~node4(s111)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7661,plain,
% 7.44/5.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s111) | (~node4(s111))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7660, 7659])).
% 7.44/5.24 tff(7662,plain,
% 7.44/5.24 (always3(s111)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7661, 16, 7654])).
% 7.44/5.24 tff(7663,plain,
% 7.44/5.24 (succ(s111, s112) <=> succ(s111, s112)),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7664,axiom,(succ(s111, s112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound112')).
% 7.44/5.24 tff(7665,plain,
% 7.44/5.24 (succ(s111, s112)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7664, 7663])).
% 7.44/5.24 tff(7666,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7667,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7668,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7667, 7666])).
% 7.44/5.24 tff(7669,plain,
% 7.44/5.24 (trans(s111, s112)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7668, 7665, 39])).
% 7.44/5.24 tff(7670,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7671,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s111, s112)) | (~always3(s111)) | always3(s112))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7672,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s111, s112)) | (~always3(s111)) | always3(s112)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7671, 7670])).
% 7.44/5.24 tff(7673,plain,
% 7.44/5.24 ((~always3(s111)) | always3(s112)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7672, 112, 7669])).
% 7.44/5.24 tff(7674,plain,
% 7.44/5.24 (always3(s112)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7673, 7662])).
% 7.44/5.24 tff(7675,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7676,plain,
% 7.44/5.24 (((~m_main_v_state(s112, c_busy)) | (~always3(s112))) <=> ((~always3(s112)) | (~m_main_v_state(s112, c_busy)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7677,plain,
% 7.44/5.24 (((~![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))))),
% 7.44/5.24 inference(monotonicity,[status(thm)],[7676])).
% 7.44/5.24 tff(7678,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(transitivity,[status(thm)],[7677, 7675])).
% 7.44/5.24 tff(7679,plain,
% 7.44/5.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s112, c_busy)) | (~always3(s112)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7680,plain,
% 7.44/5.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s112)) | (~m_main_v_state(s112, c_busy))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7679, 7678])).
% 7.44/5.24 tff(7681,plain,
% 7.44/5.24 (~m_main_v_state(s112, c_busy)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7680, 72, 7674])).
% 7.44/5.24 tff(7682,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7683,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s111, s112)) | node2(s111, s112))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7684,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s111, s112)) | node2(s111, s112)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7683, 7682])).
% 7.44/5.24 tff(7685,plain,
% 7.44/5.24 (node2(s111, s112)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7684, 7, 7669])).
% 7.44/5.24 tff(7686,plain,
% 7.44/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7687,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7688,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7687, 7686])).
% 7.44/5.24 tff(7689,plain,
% 7.44/5.24 ((~m_main_v_state(s111, c_ready)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111))),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7688, 60, 7685])).
% 7.44/5.24 tff(7690,plain,
% 7.44/5.24 (~m_main_v_state(s111, c_ready)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7689, 7681, 7658])).
% 7.44/5.24 tff(7691,plain,
% 7.44/5.24 (~m_main_v_state(s111, c_busy)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7624, 72, 7662])).
% 7.44/5.24 tff(7692,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7693,plain,
% 7.44/5.24 ((~![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))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7694,plain,
% 7.44/5.24 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s111, c_busy) | m_main_v_state(s111, c_ready)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7693, 7692])).
% 7.44/5.24 tff(7695,plain,
% 7.44/5.24 ($false),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7694, 89, 7691, 7690])).
% 7.44/5.24 tff(7696,plain,(~node4(s111)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.24 tff(7697,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7698,plain,
% 7.44/5.24 ((node4(s111) | (~until5(s111)) | xuntil6(s111)) <=> (xuntil6(s111) | node4(s111) | (~until5(s111)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7699,plain,
% 7.44/5.24 (((~![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))))),
% 7.44/5.24 inference(monotonicity,[status(thm)],[7698])).
% 7.44/5.24 tff(7700,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(transitivity,[status(thm)],[7699, 7697])).
% 7.44/5.24 tff(7701,plain,
% 7.44/5.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s111) | (~until5(s111)) | xuntil6(s111))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7702,plain,
% 7.44/5.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s111) | node4(s111) | (~until5(s111))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7701, 7700])).
% 7.44/5.24 tff(7703,plain,
% 7.44/5.24 (xuntil6(s111) | (~until5(s111))),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7702, 352, 7696])).
% 7.44/5.24 tff(7704,plain,
% 7.44/5.24 (xuntil6(s111)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7703, 7653])).
% 7.44/5.24 tff(7705,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7706,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7707,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7706, 7705])).
% 7.44/5.24 tff(7708,plain,
% 7.44/5.24 ((~xuntil6(s111)) | until5(s112)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7707, 7665, 370])).
% 7.44/5.24 tff(7709,plain,
% 7.44/5.24 (until5(s112)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7708, 7704])).
% 7.44/5.24 tff(7710,assumption,(node4(s112)), introduced(assumption)).
% 7.44/5.24 tff(7711,assumption,(m_main_v_state(s112, c_ready)), introduced(assumption)).
% 7.44/5.24 tff(7712,plain,
% 7.44/5.24 (((~![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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7713,plain,
% 7.44/5.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s112) | (~node4(s112)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7714,plain,
% 7.44/5.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s112) | (~node4(s112))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7713, 7712])).
% 7.44/5.24 tff(7715,plain,
% 7.44/5.24 (m_main_v_request(s112)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7714, 28, 7710])).
% 7.44/5.24 tff(7716,plain,
% 7.44/5.24 (succ(s112, s113) <=> succ(s112, s113)),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7717,axiom,(succ(s112, s113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound113')).
% 7.44/5.24 tff(7718,plain,
% 7.44/5.24 (succ(s112, s113)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7717, 7716])).
% 7.44/5.24 tff(7719,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7720,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7721,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7720, 7719])).
% 7.44/5.24 tff(7722,plain,
% 7.44/5.24 (trans(s112, s113)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7721, 7718, 39])).
% 7.44/5.24 tff(7723,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7724,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s112, s113)) | node2(s112, s113))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7725,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s112, s113)) | node2(s112, s113)),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7724, 7723])).
% 7.44/5.24 tff(7726,plain,
% 7.44/5.24 (node2(s112, s113)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7725, 7, 7722])).
% 7.44/5.24 tff(7727,plain,
% 7.44/5.24 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7728,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7729,plain,
% 7.44/5.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7728, 7727])).
% 7.44/5.24 tff(7730,plain,
% 7.44/5.24 ((~m_main_v_state(s112, c_ready)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112))),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7729, 60, 7726])).
% 7.44/5.24 tff(7731,plain,
% 7.44/5.24 (m_main_v_state(s113, c_busy)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7730, 7715, 7711])).
% 7.44/5.24 tff(7732,plain,
% 7.44/5.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s112) | (~node4(s112)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s112) | (~node4(s112)))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.24 tff(7733,plain,
% 7.44/5.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s112) | (~node4(s112)))),
% 7.44/5.24 inference(quant_inst,[status(thm)],[])).
% 7.44/5.24 tff(7734,plain,
% 7.44/5.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s112) | (~node4(s112))),
% 7.44/5.24 inference(modus_ponens,[status(thm)],[7733, 7732])).
% 7.44/5.24 tff(7735,plain,
% 7.44/5.24 (always3(s112)),
% 7.44/5.24 inference(unit_resolution,[status(thm)],[7734, 16, 7710])).
% 7.44/5.24 tff(7736,plain,
% 7.44/5.24 (((~![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))),
% 7.44/5.24 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7737,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s112, s113)) | (~always3(s112)) | always3(s113))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7738,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s112, s113)) | (~always3(s112)) | always3(s113)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7737, 7736])).
% 7.44/5.25 tff(7739,plain,
% 7.44/5.25 ((~always3(s112)) | always3(s113)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7738, 112, 7722])).
% 7.44/5.25 tff(7740,plain,
% 7.44/5.25 (always3(s113)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7739, 7735])).
% 7.44/5.25 tff(7741,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7742,plain,
% 7.44/5.25 (((~m_main_v_state(s113, c_busy)) | (~always3(s113))) <=> ((~always3(s113)) | (~m_main_v_state(s113, c_busy)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7743,plain,
% 7.44/5.25 (((~![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))))),
% 7.44/5.25 inference(monotonicity,[status(thm)],[7742])).
% 7.44/5.25 tff(7744,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(transitivity,[status(thm)],[7743, 7741])).
% 7.44/5.25 tff(7745,plain,
% 7.44/5.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s113, c_busy)) | (~always3(s113)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7746,plain,
% 7.44/5.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s113)) | (~m_main_v_state(s113, c_busy))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 7.44/5.25 tff(7747,plain,
% 7.44/5.25 ($false),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7746, 72, 7740, 7731])).
% 7.44/5.25 tff(7748,plain,((~node4(s112)) | (~m_main_v_state(s112, c_ready))), inference(lemma,lemma(discharge,[]))).
% 7.44/5.25 tff(7749,plain,
% 7.44/5.25 (~m_main_v_state(s112, c_ready)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7748, 7710])).
% 7.44/5.25 tff(7750,assumption,(~m_main_v_state(s112, c_busy)), introduced(assumption)).
% 7.44/5.25 tff(7751,assumption,(~m_main_v_state(s112, c_ready)), introduced(assumption)).
% 7.44/5.25 tff(7752,plain,
% 7.44/5.25 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s111, s112)) | m_main_v_state(s112, c_busy) | node1(s111) | m_main_v_state(s112, 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(s111, s112)) | m_main_v_state(s112, c_busy) | node1(s111) | m_main_v_state(s112, c_ready))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7753,plain,
% 7.44/5.25 ((node1(s111) | m_main_v_state(s112, c_ready) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy)) <=> ((~node2(s111, s112)) | m_main_v_state(s112, c_busy) | node1(s111) | m_main_v_state(s112, c_ready))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7754,plain,
% 7.44/5.25 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s111) | m_main_v_state(s112, c_ready) | (~node2(s111, s112)) | m_main_v_state(s112, 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(s111, s112)) | m_main_v_state(s112, c_busy) | node1(s111) | m_main_v_state(s112, c_ready)))),
% 7.44/5.25 inference(monotonicity,[status(thm)],[7753])).
% 7.44/5.25 tff(7755,plain,
% 7.44/5.25 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s111) | m_main_v_state(s112, c_ready) | (~node2(s111, s112)) | m_main_v_state(s112, 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(s111, s112)) | m_main_v_state(s112, c_busy) | node1(s111) | m_main_v_state(s112, c_ready))),
% 7.44/5.25 inference(transitivity,[status(thm)],[7754, 7752])).
% 7.44/5.25 tff(7756,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s111) | m_main_v_state(s112, c_ready) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7757,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | node1(s111) | m_main_v_state(s112, c_ready)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7756, 7755])).
% 7.44/5.25 tff(7758,plain,
% 7.44/5.25 (m_main_v_state(s112, c_busy) | node1(s111) | m_main_v_state(s112, c_ready)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7757, 566, 7685])).
% 7.44/5.25 tff(7759,plain,
% 7.44/5.25 (node1(s111)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7758, 7750, 7751])).
% 7.44/5.25 tff(7760,plain,
% 7.44/5.25 (^[X: $i] : refl((m_main_v_state(X, c_ready) | (~node1(X))) <=> (m_main_v_state(X, c_ready) | (~node1(X))))),
% 7.44/5.25 inference(bind,[status(th)],[])).
% 7.44/5.25 tff(7761,plain,
% 7.44/5.25 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 7.44/5.25 inference(quant_intro,[status(thm)],[7760])).
% 7.44/5.25 tff(7762,plain,
% 7.44/5.25 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7763,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_4')).
% 7.44/5.25 tff(7764,plain,
% 7.44/5.25 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7763, 7762])).
% 7.44/5.25 tff(7765,plain,(
% 7.44/5.25 ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 7.44/5.25 inference(skolemize,[status(sab)],[7764])).
% 7.44/5.25 tff(7766,plain,
% 7.44/5.25 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7765, 7761])).
% 7.44/5.25 tff(7767,plain,
% 7.44/5.25 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s111, c_ready) | (~node1(s111)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s111, c_ready) | (~node1(s111)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7768,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s111, c_ready) | (~node1(s111)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7769,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s111, c_ready) | (~node1(s111))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 7.44/5.25 tff(7770,plain,
% 7.44/5.25 (m_main_v_state(s111, c_ready)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7769, 7766, 7759])).
% 7.44/5.25 tff(7771,plain,
% 7.44/5.25 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s111) | (~node1(s111)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s111) | (~node1(s111)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7772,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s111) | (~node1(s111)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7773,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s111) | (~node1(s111))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 7.44/5.25 tff(7774,plain,
% 7.44/5.25 (m_main_v_request(s111)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7773, 589, 7759])).
% 7.44/5.25 tff(7775,plain,
% 7.44/5.25 ($false),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7689, 7774, 7770, 7750])).
% 7.44/5.25 tff(7776,plain,(m_main_v_state(s112, c_busy) | m_main_v_state(s112, c_ready)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.25 tff(7777,plain,
% 7.44/5.25 (m_main_v_state(s112, c_busy)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7776, 7749])).
% 7.44/5.25 tff(7778,plain,
% 7.44/5.25 ($false),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7680, 72, 7735, 7777])).
% 7.44/5.25 tff(7779,plain,(~node4(s112)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.25 tff(7780,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7781,plain,
% 7.44/5.25 ((node4(s112) | (~until5(s112)) | xuntil6(s112)) <=> (xuntil6(s112) | node4(s112) | (~until5(s112)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7782,plain,
% 7.44/5.25 (((~![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))))),
% 7.44/5.25 inference(monotonicity,[status(thm)],[7781])).
% 7.44/5.25 tff(7783,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(transitivity,[status(thm)],[7782, 7780])).
% 7.44/5.25 tff(7784,plain,
% 7.44/5.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s112) | (~until5(s112)) | xuntil6(s112))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7785,plain,
% 7.44/5.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s112) | node4(s112) | (~until5(s112))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7784, 7783])).
% 7.44/5.25 tff(7786,plain,
% 7.44/5.25 (xuntil6(s112) | (~until5(s112))),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7785, 352, 7779])).
% 7.44/5.25 tff(7787,plain,
% 7.44/5.25 (xuntil6(s112)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7786, 7709])).
% 7.44/5.25 tff(7788,plain,
% 7.44/5.25 (((~![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))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7789,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7790,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7789, 7788])).
% 7.44/5.25 tff(7791,plain,
% 7.44/5.25 ((~xuntil6(s112)) | until5(s113)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7790, 7718, 370])).
% 7.44/5.25 tff(7792,plain,
% 7.44/5.25 (until5(s113)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7791, 7787])).
% 7.44/5.25 tff(7793,assumption,(node4(s113)), introduced(assumption)).
% 7.44/5.25 tff(7794,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7795,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s113) | (~node4(s113)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7796,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s113) | (~node4(s113))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7795, 7794])).
% 7.44/5.25 tff(7797,plain,
% 7.44/5.25 (m_main_v_request(s113)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7796, 28, 7793])).
% 7.44/5.25 tff(7798,plain,
% 7.44/5.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s113) | (~node4(s113)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s113) | (~node4(s113)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7799,plain,
% 7.44/5.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s113) | (~node4(s113)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7800,plain,
% 7.44/5.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s113) | (~node4(s113))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 7.44/5.25 tff(7801,plain,
% 7.44/5.25 (always3(s113)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7800, 16, 7793])).
% 7.44/5.25 tff(7802,plain,
% 7.44/5.25 (succ(s113, s114) <=> succ(s113, s114)),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7803,axiom,(succ(s113, s114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound114')).
% 7.44/5.25 tff(7804,plain,
% 7.44/5.25 (succ(s113, s114)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 7.44/5.25 tff(7805,plain,
% 7.44/5.25 (((~![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))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7806,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7807,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7806, 7805])).
% 7.44/5.25 tff(7808,plain,
% 7.44/5.25 (trans(s113, s114)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7807, 7804, 39])).
% 7.44/5.25 tff(7809,plain,
% 7.44/5.25 (((~![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))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7810,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s113, s114)) | (~always3(s113)) | always3(s114))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7811,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s113, s114)) | (~always3(s113)) | always3(s114)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7810, 7809])).
% 7.44/5.25 tff(7812,plain,
% 7.44/5.25 ((~always3(s113)) | always3(s114)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7811, 112, 7808])).
% 7.44/5.25 tff(7813,plain,
% 7.44/5.25 (always3(s114)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7812, 7801])).
% 7.44/5.25 tff(7814,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7815,plain,
% 7.44/5.25 (((~m_main_v_state(s114, c_busy)) | (~always3(s114))) <=> ((~always3(s114)) | (~m_main_v_state(s114, c_busy)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7816,plain,
% 7.44/5.25 (((~![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))))),
% 7.44/5.25 inference(monotonicity,[status(thm)],[7815])).
% 7.44/5.25 tff(7817,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(transitivity,[status(thm)],[7816, 7814])).
% 7.44/5.25 tff(7818,plain,
% 7.44/5.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s114, c_busy)) | (~always3(s114)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7819,plain,
% 7.44/5.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s114)) | (~m_main_v_state(s114, c_busy))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7818, 7817])).
% 7.44/5.25 tff(7820,plain,
% 7.44/5.25 (~m_main_v_state(s114, c_busy)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7819, 72, 7813])).
% 7.44/5.25 tff(7821,plain,
% 7.44/5.25 (((~![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))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7822,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s113, s114)) | node2(s113, s114))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7823,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s113, s114)) | node2(s113, s114)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7822, 7821])).
% 7.44/5.25 tff(7824,plain,
% 7.44/5.25 (node2(s113, s114)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7823, 7, 7808])).
% 7.44/5.25 tff(7825,plain,
% 7.44/5.25 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7826,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7827,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7826, 7825])).
% 7.44/5.25 tff(7828,plain,
% 7.44/5.25 ((~m_main_v_state(s113, c_ready)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113))),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7827, 60, 7824])).
% 7.44/5.25 tff(7829,plain,
% 7.44/5.25 (~m_main_v_state(s113, c_ready)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7828, 7820, 7797])).
% 7.44/5.25 tff(7830,plain,
% 7.44/5.25 (~m_main_v_state(s113, c_busy)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7746, 72, 7801])).
% 7.44/5.25 tff(7831,plain,
% 7.44/5.25 (((~![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))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7832,plain,
% 7.44/5.25 ((~![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))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7833,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s113, c_busy) | m_main_v_state(s113, c_ready)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7832, 7831])).
% 7.44/5.25 tff(7834,plain,
% 7.44/5.25 ($false),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7833, 89, 7830, 7829])).
% 7.44/5.25 tff(7835,plain,(~node4(s113)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.25 tff(7836,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7837,plain,
% 7.44/5.25 ((node4(s113) | (~until5(s113)) | xuntil6(s113)) <=> (xuntil6(s113) | node4(s113) | (~until5(s113)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7838,plain,
% 7.44/5.25 (((~![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))))),
% 7.44/5.25 inference(monotonicity,[status(thm)],[7837])).
% 7.44/5.25 tff(7839,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(transitivity,[status(thm)],[7838, 7836])).
% 7.44/5.25 tff(7840,plain,
% 7.44/5.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s113) | (~until5(s113)) | xuntil6(s113))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7841,plain,
% 7.44/5.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s113) | node4(s113) | (~until5(s113))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7840, 7839])).
% 7.44/5.25 tff(7842,plain,
% 7.44/5.25 (xuntil6(s113) | (~until5(s113))),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7841, 352, 7835])).
% 7.44/5.25 tff(7843,plain,
% 7.44/5.25 (xuntil6(s113)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7842, 7792])).
% 7.44/5.25 tff(7844,plain,
% 7.44/5.25 (((~![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))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7845,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7846,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7845, 7844])).
% 7.44/5.25 tff(7847,plain,
% 7.44/5.25 ((~xuntil6(s113)) | until5(s114)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7846, 7804, 370])).
% 7.44/5.25 tff(7848,plain,
% 7.44/5.25 (until5(s114)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7847, 7843])).
% 7.44/5.25 tff(7849,assumption,(node4(s114)), introduced(assumption)).
% 7.44/5.25 tff(7850,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7851,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s114) | (~node4(s114)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7852,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s114) | (~node4(s114))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7851, 7850])).
% 7.44/5.25 tff(7853,plain,
% 7.44/5.25 (m_main_v_request(s114)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7852, 28, 7849])).
% 7.44/5.25 tff(7854,plain,
% 7.44/5.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s114) | (~node4(s114)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s114) | (~node4(s114)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7855,plain,
% 7.44/5.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s114) | (~node4(s114)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7856,plain,
% 7.44/5.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s114) | (~node4(s114))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7855, 7854])).
% 7.44/5.25 tff(7857,plain,
% 7.44/5.25 (always3(s114)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7856, 16, 7849])).
% 7.44/5.25 tff(7858,plain,
% 7.44/5.25 (succ(s114, s115) <=> succ(s114, s115)),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7859,axiom,(succ(s114, s115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound115')).
% 7.44/5.25 tff(7860,plain,
% 7.44/5.25 (succ(s114, s115)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 7.44/5.25 tff(7861,plain,
% 7.44/5.25 (((~![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))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7862,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7863,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7862, 7861])).
% 7.44/5.25 tff(7864,plain,
% 7.44/5.25 (trans(s114, s115)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7863, 7860, 39])).
% 7.44/5.25 tff(7865,plain,
% 7.44/5.25 (((~![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))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7866,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s114, s115)) | (~always3(s114)) | always3(s115))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7867,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s114, s115)) | (~always3(s114)) | always3(s115)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7866, 7865])).
% 7.44/5.25 tff(7868,plain,
% 7.44/5.25 ((~always3(s114)) | always3(s115)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7867, 112, 7864])).
% 7.44/5.25 tff(7869,plain,
% 7.44/5.25 (always3(s115)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7868, 7857])).
% 7.44/5.25 tff(7870,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7871,plain,
% 7.44/5.25 (((~m_main_v_state(s115, c_busy)) | (~always3(s115))) <=> ((~always3(s115)) | (~m_main_v_state(s115, c_busy)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7872,plain,
% 7.44/5.25 (((~![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))))),
% 7.44/5.25 inference(monotonicity,[status(thm)],[7871])).
% 7.44/5.25 tff(7873,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(transitivity,[status(thm)],[7872, 7870])).
% 7.44/5.25 tff(7874,plain,
% 7.44/5.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s115, c_busy)) | (~always3(s115)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7875,plain,
% 7.44/5.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s115)) | (~m_main_v_state(s115, c_busy))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7874, 7873])).
% 7.44/5.25 tff(7876,plain,
% 7.44/5.25 (~m_main_v_state(s115, c_busy)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7875, 72, 7869])).
% 7.44/5.25 tff(7877,plain,
% 7.44/5.25 (((~![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))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7878,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s114, s115)) | node2(s114, s115))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7879,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s114, s115)) | node2(s114, s115)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 7.44/5.25 tff(7880,plain,
% 7.44/5.25 (node2(s114, s115)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7879, 7, 7864])).
% 7.44/5.25 tff(7881,plain,
% 7.44/5.25 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7882,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7883,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7882, 7881])).
% 7.44/5.25 tff(7884,plain,
% 7.44/5.25 ((~m_main_v_state(s114, c_ready)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114))),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7883, 60, 7880])).
% 7.44/5.25 tff(7885,plain,
% 7.44/5.25 (~m_main_v_state(s114, c_ready)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7884, 7876, 7853])).
% 7.44/5.25 tff(7886,plain,
% 7.44/5.25 (~m_main_v_state(s114, c_busy)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7819, 72, 7857])).
% 7.44/5.25 tff(7887,plain,
% 7.44/5.25 (((~![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))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7888,plain,
% 7.44/5.25 ((~![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))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7889,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s114, c_busy) | m_main_v_state(s114, c_ready)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7888, 7887])).
% 7.44/5.25 tff(7890,plain,
% 7.44/5.25 ($false),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7889, 89, 7886, 7885])).
% 7.44/5.25 tff(7891,plain,(~node4(s114)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.25 tff(7892,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7893,plain,
% 7.44/5.25 ((node4(s114) | (~until5(s114)) | xuntil6(s114)) <=> (xuntil6(s114) | node4(s114) | (~until5(s114)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7894,plain,
% 7.44/5.25 (((~![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))))),
% 7.44/5.25 inference(monotonicity,[status(thm)],[7893])).
% 7.44/5.25 tff(7895,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(transitivity,[status(thm)],[7894, 7892])).
% 7.44/5.25 tff(7896,plain,
% 7.44/5.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s114) | (~until5(s114)) | xuntil6(s114))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7897,plain,
% 7.44/5.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s114) | node4(s114) | (~until5(s114))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7896, 7895])).
% 7.44/5.25 tff(7898,plain,
% 7.44/5.25 (xuntil6(s114) | (~until5(s114))),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7897, 352, 7891])).
% 7.44/5.25 tff(7899,plain,
% 7.44/5.25 (xuntil6(s114)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7898, 7848])).
% 7.44/5.25 tff(7900,plain,
% 7.44/5.25 (((~![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))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7901,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7902,plain,
% 7.44/5.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115)),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7901, 7900])).
% 7.44/5.25 tff(7903,plain,
% 7.44/5.25 ((~xuntil6(s114)) | until5(s115)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7902, 7860, 370])).
% 7.44/5.25 tff(7904,plain,
% 7.44/5.25 (until5(s115)),
% 7.44/5.25 inference(unit_resolution,[status(thm)],[7903, 7899])).
% 7.44/5.25 tff(7905,assumption,(node4(s115)), introduced(assumption)).
% 7.44/5.25 tff(7906,plain,
% 7.44/5.25 (((~![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)))),
% 7.44/5.25 inference(rewrite,[status(thm)],[])).
% 7.44/5.25 tff(7907,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s115) | (~node4(s115)))),
% 7.44/5.25 inference(quant_inst,[status(thm)],[])).
% 7.44/5.25 tff(7908,plain,
% 7.44/5.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s115) | (~node4(s115))),
% 7.44/5.25 inference(modus_ponens,[status(thm)],[7907, 7906])).
% 7.44/5.26 tff(7909,plain,
% 7.44/5.26 (m_main_v_request(s115)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7908, 28, 7905])).
% 7.44/5.26 tff(7910,plain,
% 7.44/5.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s115) | (~node4(s115)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s115) | (~node4(s115)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7911,plain,
% 7.44/5.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s115) | (~node4(s115)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7912,plain,
% 7.44/5.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s115) | (~node4(s115))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7911, 7910])).
% 7.44/5.26 tff(7913,plain,
% 7.44/5.26 (always3(s115)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7912, 16, 7905])).
% 7.44/5.26 tff(7914,plain,
% 7.44/5.26 (succ(s115, s116) <=> succ(s115, s116)),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7915,axiom,(succ(s115, s116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound116')).
% 7.44/5.26 tff(7916,plain,
% 7.44/5.26 (succ(s115, s116)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7915, 7914])).
% 7.44/5.26 tff(7917,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7918,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7919,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 7.44/5.26 tff(7920,plain,
% 7.44/5.26 (trans(s115, s116)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7919, 7916, 39])).
% 7.44/5.26 tff(7921,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7922,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s115, s116)) | (~always3(s115)) | always3(s116))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7923,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s115, s116)) | (~always3(s115)) | always3(s116)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7922, 7921])).
% 7.44/5.26 tff(7924,plain,
% 7.44/5.26 ((~always3(s115)) | always3(s116)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7923, 112, 7920])).
% 7.44/5.26 tff(7925,plain,
% 7.44/5.26 (always3(s116)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7924, 7913])).
% 7.44/5.26 tff(7926,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7927,plain,
% 7.44/5.26 (((~m_main_v_state(s116, c_busy)) | (~always3(s116))) <=> ((~always3(s116)) | (~m_main_v_state(s116, c_busy)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7928,plain,
% 7.44/5.26 (((~![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))))),
% 7.44/5.26 inference(monotonicity,[status(thm)],[7927])).
% 7.44/5.26 tff(7929,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(transitivity,[status(thm)],[7928, 7926])).
% 7.44/5.26 tff(7930,plain,
% 7.44/5.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s116, c_busy)) | (~always3(s116)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7931,plain,
% 7.44/5.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s116)) | (~m_main_v_state(s116, c_busy))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7930, 7929])).
% 7.44/5.26 tff(7932,plain,
% 7.44/5.26 (~m_main_v_state(s116, c_busy)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7931, 72, 7925])).
% 7.44/5.26 tff(7933,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7934,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s115, s116)) | node2(s115, s116))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7935,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s115, s116)) | node2(s115, s116)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7934, 7933])).
% 7.44/5.26 tff(7936,plain,
% 7.44/5.26 (node2(s115, s116)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7935, 7, 7920])).
% 7.44/5.26 tff(7937,plain,
% 7.44/5.26 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7938,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7939,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7938, 7937])).
% 7.44/5.26 tff(7940,plain,
% 7.44/5.26 ((~m_main_v_state(s115, c_ready)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115))),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7939, 60, 7936])).
% 7.44/5.26 tff(7941,plain,
% 7.44/5.26 (~m_main_v_state(s115, c_ready)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7940, 7932, 7909])).
% 7.44/5.26 tff(7942,plain,
% 7.44/5.26 (~m_main_v_state(s115, c_busy)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7875, 72, 7913])).
% 7.44/5.26 tff(7943,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7944,plain,
% 7.44/5.26 ((~![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))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7945,plain,
% 7.44/5.26 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s115, c_busy) | m_main_v_state(s115, c_ready)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7944, 7943])).
% 7.44/5.26 tff(7946,plain,
% 7.44/5.26 ($false),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7945, 89, 7942, 7941])).
% 7.44/5.26 tff(7947,plain,(~node4(s115)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.26 tff(7948,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7949,plain,
% 7.44/5.26 ((node4(s115) | (~until5(s115)) | xuntil6(s115)) <=> (xuntil6(s115) | node4(s115) | (~until5(s115)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7950,plain,
% 7.44/5.26 (((~![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))))),
% 7.44/5.26 inference(monotonicity,[status(thm)],[7949])).
% 7.44/5.26 tff(7951,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(transitivity,[status(thm)],[7950, 7948])).
% 7.44/5.26 tff(7952,plain,
% 7.44/5.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s115) | (~until5(s115)) | xuntil6(s115))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7953,plain,
% 7.44/5.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s115) | node4(s115) | (~until5(s115))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7952, 7951])).
% 7.44/5.26 tff(7954,plain,
% 7.44/5.26 (xuntil6(s115) | (~until5(s115))),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7953, 352, 7947])).
% 7.44/5.26 tff(7955,plain,
% 7.44/5.26 (xuntil6(s115)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7954, 7904])).
% 7.44/5.26 tff(7956,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7957,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7958,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7957, 7956])).
% 7.44/5.26 tff(7959,plain,
% 7.44/5.26 ((~xuntil6(s115)) | until5(s116)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7958, 7916, 370])).
% 7.44/5.26 tff(7960,plain,
% 7.44/5.26 (until5(s116)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7959, 7955])).
% 7.44/5.26 tff(7961,assumption,(node4(s116)), introduced(assumption)).
% 7.44/5.26 tff(7962,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7963,plain,
% 7.44/5.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s116) | (~node4(s116)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7964,plain,
% 7.44/5.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s116) | (~node4(s116))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7963, 7962])).
% 7.44/5.26 tff(7965,plain,
% 7.44/5.26 (m_main_v_request(s116)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7964, 28, 7961])).
% 7.44/5.26 tff(7966,plain,
% 7.44/5.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s116) | (~node4(s116)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s116) | (~node4(s116)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7967,plain,
% 7.44/5.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s116) | (~node4(s116)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7968,plain,
% 7.44/5.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s116) | (~node4(s116))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7967, 7966])).
% 7.44/5.26 tff(7969,plain,
% 7.44/5.26 (always3(s116)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7968, 16, 7961])).
% 7.44/5.26 tff(7970,plain,
% 7.44/5.26 (succ(s116, s117) <=> succ(s116, s117)),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7971,axiom,(succ(s116, s117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound117')).
% 7.44/5.26 tff(7972,plain,
% 7.44/5.26 (succ(s116, s117)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7971, 7970])).
% 7.44/5.26 tff(7973,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7974,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7975,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7974, 7973])).
% 7.44/5.26 tff(7976,plain,
% 7.44/5.26 (trans(s116, s117)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7975, 7972, 39])).
% 7.44/5.26 tff(7977,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7978,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s116, s117)) | (~always3(s116)) | always3(s117))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7979,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s116, s117)) | (~always3(s116)) | always3(s117)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7978, 7977])).
% 7.44/5.26 tff(7980,plain,
% 7.44/5.26 ((~always3(s116)) | always3(s117)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7979, 112, 7976])).
% 7.44/5.26 tff(7981,plain,
% 7.44/5.26 (always3(s117)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7980, 7969])).
% 7.44/5.26 tff(7982,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7983,plain,
% 7.44/5.26 (((~m_main_v_state(s117, c_busy)) | (~always3(s117))) <=> ((~always3(s117)) | (~m_main_v_state(s117, c_busy)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7984,plain,
% 7.44/5.26 (((~![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))))),
% 7.44/5.26 inference(monotonicity,[status(thm)],[7983])).
% 7.44/5.26 tff(7985,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(transitivity,[status(thm)],[7984, 7982])).
% 7.44/5.26 tff(7986,plain,
% 7.44/5.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s117, c_busy)) | (~always3(s117)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7987,plain,
% 7.44/5.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s117)) | (~m_main_v_state(s117, c_busy))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7986, 7985])).
% 7.44/5.26 tff(7988,plain,
% 7.44/5.26 (~m_main_v_state(s117, c_busy)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7987, 72, 7981])).
% 7.44/5.26 tff(7989,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7990,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s116, s117)) | node2(s116, s117))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7991,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s116, s117)) | node2(s116, s117)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7990, 7989])).
% 7.44/5.26 tff(7992,plain,
% 7.44/5.26 (node2(s116, s117)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7991, 7, 7976])).
% 7.44/5.26 tff(7993,plain,
% 7.44/5.26 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(7994,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(7995,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[7994, 7993])).
% 7.44/5.26 tff(7996,plain,
% 7.44/5.26 ((~m_main_v_state(s116, c_ready)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116))),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7995, 60, 7992])).
% 7.44/5.26 tff(7997,plain,
% 7.44/5.26 (~m_main_v_state(s116, c_ready)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7996, 7988, 7965])).
% 7.44/5.26 tff(7998,plain,
% 7.44/5.26 (~m_main_v_state(s116, c_busy)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7931, 72, 7969])).
% 7.44/5.26 tff(7999,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8000,plain,
% 7.44/5.26 ((~![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))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8001,plain,
% 7.44/5.26 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s116, c_busy) | m_main_v_state(s116, c_ready)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8000, 7999])).
% 7.44/5.26 tff(8002,plain,
% 7.44/5.26 ($false),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8001, 89, 7998, 7997])).
% 7.44/5.26 tff(8003,plain,(~node4(s116)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.26 tff(8004,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8005,plain,
% 7.44/5.26 ((node4(s116) | (~until5(s116)) | xuntil6(s116)) <=> (xuntil6(s116) | node4(s116) | (~until5(s116)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8006,plain,
% 7.44/5.26 (((~![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))))),
% 7.44/5.26 inference(monotonicity,[status(thm)],[8005])).
% 7.44/5.26 tff(8007,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(transitivity,[status(thm)],[8006, 8004])).
% 7.44/5.26 tff(8008,plain,
% 7.44/5.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s116) | (~until5(s116)) | xuntil6(s116))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8009,plain,
% 7.44/5.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s116) | node4(s116) | (~until5(s116))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8008, 8007])).
% 7.44/5.26 tff(8010,plain,
% 7.44/5.26 (xuntil6(s116) | (~until5(s116))),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8009, 352, 8003])).
% 7.44/5.26 tff(8011,plain,
% 7.44/5.26 (xuntil6(s116)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8010, 7960])).
% 7.44/5.26 tff(8012,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8013,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8014,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8013, 8012])).
% 7.44/5.26 tff(8015,plain,
% 7.44/5.26 ((~xuntil6(s116)) | until5(s117)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8014, 7972, 370])).
% 7.44/5.26 tff(8016,plain,
% 7.44/5.26 (until5(s117)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8015, 8011])).
% 7.44/5.26 tff(8017,assumption,(node4(s117)), introduced(assumption)).
% 7.44/5.26 tff(8018,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8019,plain,
% 7.44/5.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s117) | (~node4(s117)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8020,plain,
% 7.44/5.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s117) | (~node4(s117))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8019, 8018])).
% 7.44/5.26 tff(8021,plain,
% 7.44/5.26 (m_main_v_request(s117)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8020, 28, 8017])).
% 7.44/5.26 tff(8022,plain,
% 7.44/5.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s117) | (~node4(s117)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s117) | (~node4(s117)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8023,plain,
% 7.44/5.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s117) | (~node4(s117)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8024,plain,
% 7.44/5.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s117) | (~node4(s117))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8023, 8022])).
% 7.44/5.26 tff(8025,plain,
% 7.44/5.26 (always3(s117)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8024, 16, 8017])).
% 7.44/5.26 tff(8026,plain,
% 7.44/5.26 (succ(s117, s118) <=> succ(s117, s118)),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8027,axiom,(succ(s117, s118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound118')).
% 7.44/5.26 tff(8028,plain,
% 7.44/5.26 (succ(s117, s118)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8027, 8026])).
% 7.44/5.26 tff(8029,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8030,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8031,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8030, 8029])).
% 7.44/5.26 tff(8032,plain,
% 7.44/5.26 (trans(s117, s118)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8031, 8028, 39])).
% 7.44/5.26 tff(8033,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8034,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s117, s118)) | (~always3(s117)) | always3(s118))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8035,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s117, s118)) | (~always3(s117)) | always3(s118)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8034, 8033])).
% 7.44/5.26 tff(8036,plain,
% 7.44/5.26 ((~always3(s117)) | always3(s118)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8035, 112, 8032])).
% 7.44/5.26 tff(8037,plain,
% 7.44/5.26 (always3(s118)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8036, 8025])).
% 7.44/5.26 tff(8038,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8039,plain,
% 7.44/5.26 (((~m_main_v_state(s118, c_busy)) | (~always3(s118))) <=> ((~always3(s118)) | (~m_main_v_state(s118, c_busy)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8040,plain,
% 7.44/5.26 (((~![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))))),
% 7.44/5.26 inference(monotonicity,[status(thm)],[8039])).
% 7.44/5.26 tff(8041,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(transitivity,[status(thm)],[8040, 8038])).
% 7.44/5.26 tff(8042,plain,
% 7.44/5.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s118, c_busy)) | (~always3(s118)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8043,plain,
% 7.44/5.26 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s118)) | (~m_main_v_state(s118, c_busy))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8042, 8041])).
% 7.44/5.26 tff(8044,plain,
% 7.44/5.26 (~m_main_v_state(s118, c_busy)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8043, 72, 8037])).
% 7.44/5.26 tff(8045,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8046,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s117, s118)) | node2(s117, s118))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8047,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s117, s118)) | node2(s117, s118)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 7.44/5.26 tff(8048,plain,
% 7.44/5.26 (node2(s117, s118)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8047, 7, 8032])).
% 7.44/5.26 tff(8049,plain,
% 7.44/5.26 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8050,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8051,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8050, 8049])).
% 7.44/5.26 tff(8052,plain,
% 7.44/5.26 ((~m_main_v_state(s117, c_ready)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117))),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8051, 60, 8048])).
% 7.44/5.26 tff(8053,plain,
% 7.44/5.26 (~m_main_v_state(s117, c_ready)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8052, 8044, 8021])).
% 7.44/5.26 tff(8054,plain,
% 7.44/5.26 (~m_main_v_state(s117, c_busy)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[7987, 72, 8025])).
% 7.44/5.26 tff(8055,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8056,plain,
% 7.44/5.26 ((~![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))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8057,plain,
% 7.44/5.26 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s117, c_busy) | m_main_v_state(s117, c_ready)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8056, 8055])).
% 7.44/5.26 tff(8058,plain,
% 7.44/5.26 ($false),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8057, 89, 8054, 8053])).
% 7.44/5.26 tff(8059,plain,(~node4(s117)), inference(lemma,lemma(discharge,[]))).
% 7.44/5.26 tff(8060,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8061,plain,
% 7.44/5.26 ((node4(s117) | (~until5(s117)) | xuntil6(s117)) <=> (xuntil6(s117) | node4(s117) | (~until5(s117)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8062,plain,
% 7.44/5.26 (((~![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))))),
% 7.44/5.26 inference(monotonicity,[status(thm)],[8061])).
% 7.44/5.26 tff(8063,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(transitivity,[status(thm)],[8062, 8060])).
% 7.44/5.26 tff(8064,plain,
% 7.44/5.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s117) | (~until5(s117)) | xuntil6(s117))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8065,plain,
% 7.44/5.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s117) | node4(s117) | (~until5(s117))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8064, 8063])).
% 7.44/5.26 tff(8066,plain,
% 7.44/5.26 (xuntil6(s117) | (~until5(s117))),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8065, 352, 8059])).
% 7.44/5.26 tff(8067,plain,
% 7.44/5.26 (xuntil6(s117)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8066, 8016])).
% 7.44/5.26 tff(8068,plain,
% 7.44/5.26 (((~![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))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8069,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8070,plain,
% 7.44/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118)),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 7.44/5.26 tff(8071,plain,
% 7.44/5.26 ((~xuntil6(s117)) | until5(s118)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8070, 8028, 370])).
% 7.44/5.26 tff(8072,plain,
% 7.44/5.26 (until5(s118)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8071, 8067])).
% 7.44/5.26 tff(8073,assumption,(node4(s118)), introduced(assumption)).
% 7.44/5.26 tff(8074,plain,
% 7.44/5.26 (((~![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)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8075,plain,
% 7.44/5.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s118) | (~node4(s118)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8076,plain,
% 7.44/5.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s118) | (~node4(s118))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8075, 8074])).
% 7.44/5.26 tff(8077,plain,
% 7.44/5.26 (m_main_v_request(s118)),
% 7.44/5.26 inference(unit_resolution,[status(thm)],[8076, 28, 8073])).
% 7.44/5.26 tff(8078,plain,
% 7.44/5.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s118) | (~node4(s118)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s118) | (~node4(s118)))),
% 7.44/5.26 inference(rewrite,[status(thm)],[])).
% 7.44/5.26 tff(8079,plain,
% 7.44/5.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s118) | (~node4(s118)))),
% 7.44/5.26 inference(quant_inst,[status(thm)],[])).
% 7.44/5.26 tff(8080,plain,
% 7.44/5.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s118) | (~node4(s118))),
% 7.44/5.26 inference(modus_ponens,[status(thm)],[8079, 8078])).
% 7.44/5.26 tff(8081,plain,
% 7.44/5.26 (always3(s118)),
% 7.49/5.26 inference(unit_resolution,[status(thm)],[8080, 16, 8073])).
% 7.49/5.26 tff(8082,plain,
% 7.49/5.26 (succ(s118, s119) <=> succ(s118, s119)),
% 7.49/5.26 inference(rewrite,[status(thm)],[])).
% 7.49/5.26 tff(8083,axiom,(succ(s118, s119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound119')).
% 7.49/5.26 tff(8084,plain,
% 7.49/5.26 (succ(s118, s119)),
% 7.49/5.26 inference(modus_ponens,[status(thm)],[8083, 8082])).
% 7.49/5.26 tff(8085,plain,
% 7.49/5.26 (((~![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))),
% 7.49/5.26 inference(rewrite,[status(thm)],[])).
% 7.49/5.26 tff(8086,plain,
% 7.49/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))),
% 7.49/5.26 inference(quant_inst,[status(thm)],[])).
% 7.49/5.26 tff(8087,plain,
% 7.49/5.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119)),
% 7.49/5.26 inference(modus_ponens,[status(thm)],[8086, 8085])).
% 7.49/5.26 tff(8088,plain,
% 7.49/5.26 (trans(s118, s119)),
% 7.49/5.26 inference(unit_resolution,[status(thm)],[8087, 8084, 39])).
% 7.49/5.27 tff(8089,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8090,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s118, s119)) | (~always3(s118)) | always3(s119))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8091,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s118, s119)) | (~always3(s118)) | always3(s119)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 7.49/5.27 tff(8092,plain,
% 7.49/5.27 ((~always3(s118)) | always3(s119)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8091, 112, 8088])).
% 7.49/5.27 tff(8093,plain,
% 7.49/5.27 (always3(s119)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8092, 8081])).
% 7.49/5.27 tff(8094,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8095,plain,
% 7.49/5.27 (((~m_main_v_state(s119, c_busy)) | (~always3(s119))) <=> ((~always3(s119)) | (~m_main_v_state(s119, c_busy)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8096,plain,
% 7.49/5.27 (((~![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))))),
% 7.49/5.27 inference(monotonicity,[status(thm)],[8095])).
% 7.49/5.27 tff(8097,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(transitivity,[status(thm)],[8096, 8094])).
% 7.49/5.27 tff(8098,plain,
% 7.49/5.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s119, c_busy)) | (~always3(s119)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8099,plain,
% 7.49/5.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s119)) | (~m_main_v_state(s119, c_busy))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8098, 8097])).
% 7.49/5.27 tff(8100,plain,
% 7.49/5.27 (~m_main_v_state(s119, c_busy)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8099, 72, 8093])).
% 7.49/5.27 tff(8101,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8102,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s118, s119)) | node2(s118, s119))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8103,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s118, s119)) | node2(s118, s119)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8102, 8101])).
% 7.49/5.27 tff(8104,plain,
% 7.49/5.27 (node2(s118, s119)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8103, 7, 8088])).
% 7.49/5.27 tff(8105,plain,
% 7.49/5.27 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8106,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8107,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8106, 8105])).
% 7.49/5.27 tff(8108,plain,
% 7.49/5.27 ((~m_main_v_state(s118, c_ready)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118))),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8107, 60, 8104])).
% 7.49/5.27 tff(8109,plain,
% 7.49/5.27 (~m_main_v_state(s118, c_ready)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8108, 8100, 8077])).
% 7.49/5.27 tff(8110,plain,
% 7.49/5.27 (~m_main_v_state(s118, c_busy)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8043, 72, 8081])).
% 7.49/5.27 tff(8111,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8112,plain,
% 7.49/5.27 ((~![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))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8113,plain,
% 7.49/5.27 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s118, c_busy) | m_main_v_state(s118, c_ready)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8112, 8111])).
% 7.49/5.27 tff(8114,plain,
% 7.49/5.27 ($false),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8113, 89, 8110, 8109])).
% 7.49/5.27 tff(8115,plain,(~node4(s118)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.27 tff(8116,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8117,plain,
% 7.49/5.27 ((node4(s118) | (~until5(s118)) | xuntil6(s118)) <=> (xuntil6(s118) | node4(s118) | (~until5(s118)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8118,plain,
% 7.49/5.27 (((~![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))))),
% 7.49/5.27 inference(monotonicity,[status(thm)],[8117])).
% 7.49/5.27 tff(8119,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(transitivity,[status(thm)],[8118, 8116])).
% 7.49/5.27 tff(8120,plain,
% 7.49/5.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s118) | (~until5(s118)) | xuntil6(s118))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8121,plain,
% 7.49/5.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s118) | node4(s118) | (~until5(s118))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8120, 8119])).
% 7.49/5.27 tff(8122,plain,
% 7.49/5.27 (xuntil6(s118) | (~until5(s118))),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8121, 352, 8115])).
% 7.49/5.27 tff(8123,plain,
% 7.49/5.27 (xuntil6(s118)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8122, 8072])).
% 7.49/5.27 tff(8124,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8125,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8126,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8125, 8124])).
% 7.49/5.27 tff(8127,plain,
% 7.49/5.27 ((~xuntil6(s118)) | until5(s119)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8126, 8084, 370])).
% 7.49/5.27 tff(8128,plain,
% 7.49/5.27 (until5(s119)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8127, 8123])).
% 7.49/5.27 tff(8129,assumption,(node4(s119)), introduced(assumption)).
% 7.49/5.27 tff(8130,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8131,plain,
% 7.49/5.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s119) | (~node4(s119)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8132,plain,
% 7.49/5.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s119) | (~node4(s119))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8131, 8130])).
% 7.49/5.27 tff(8133,plain,
% 7.49/5.27 (m_main_v_request(s119)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8132, 28, 8129])).
% 7.49/5.27 tff(8134,plain,
% 7.49/5.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s119) | (~node4(s119)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s119) | (~node4(s119)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8135,plain,
% 7.49/5.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s119) | (~node4(s119)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8136,plain,
% 7.49/5.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s119) | (~node4(s119))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8135, 8134])).
% 7.49/5.27 tff(8137,plain,
% 7.49/5.27 (always3(s119)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8136, 16, 8129])).
% 7.49/5.27 tff(8138,plain,
% 7.49/5.27 (succ(s119, s120) <=> succ(s119, s120)),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8139,axiom,(succ(s119, s120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound120')).
% 7.49/5.27 tff(8140,plain,
% 7.49/5.27 (succ(s119, s120)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 7.49/5.27 tff(8141,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8142,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8143,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8142, 8141])).
% 7.49/5.27 tff(8144,plain,
% 7.49/5.27 (trans(s119, s120)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8143, 8140, 39])).
% 7.49/5.27 tff(8145,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8146,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s119, s120)) | (~always3(s119)) | always3(s120))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8147,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s119, s120)) | (~always3(s119)) | always3(s120)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8146, 8145])).
% 7.49/5.27 tff(8148,plain,
% 7.49/5.27 ((~always3(s119)) | always3(s120)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8147, 112, 8144])).
% 7.49/5.27 tff(8149,plain,
% 7.49/5.27 (always3(s120)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8148, 8137])).
% 7.49/5.27 tff(8150,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8151,plain,
% 7.49/5.27 (((~m_main_v_state(s120, c_busy)) | (~always3(s120))) <=> ((~always3(s120)) | (~m_main_v_state(s120, c_busy)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8152,plain,
% 7.49/5.27 (((~![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))))),
% 7.49/5.27 inference(monotonicity,[status(thm)],[8151])).
% 7.49/5.27 tff(8153,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(transitivity,[status(thm)],[8152, 8150])).
% 7.49/5.27 tff(8154,plain,
% 7.49/5.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s120, c_busy)) | (~always3(s120)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8155,plain,
% 7.49/5.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s120)) | (~m_main_v_state(s120, c_busy))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8154, 8153])).
% 7.49/5.27 tff(8156,plain,
% 7.49/5.27 (~m_main_v_state(s120, c_busy)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8155, 72, 8149])).
% 7.49/5.27 tff(8157,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8158,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s119, s120)) | node2(s119, s120))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8159,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s119, s120)) | node2(s119, s120)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8158, 8157])).
% 7.49/5.27 tff(8160,plain,
% 7.49/5.27 (node2(s119, s120)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8159, 7, 8144])).
% 7.49/5.27 tff(8161,plain,
% 7.49/5.27 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8162,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8163,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8162, 8161])).
% 7.49/5.27 tff(8164,plain,
% 7.49/5.27 ((~m_main_v_state(s119, c_ready)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119))),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8163, 60, 8160])).
% 7.49/5.27 tff(8165,plain,
% 7.49/5.27 (~m_main_v_state(s119, c_ready)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8164, 8156, 8133])).
% 7.49/5.27 tff(8166,plain,
% 7.49/5.27 (~m_main_v_state(s119, c_busy)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8099, 72, 8137])).
% 7.49/5.27 tff(8167,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8168,plain,
% 7.49/5.27 ((~![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))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8169,plain,
% 7.49/5.27 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s119, c_busy) | m_main_v_state(s119, c_ready)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8168, 8167])).
% 7.49/5.27 tff(8170,plain,
% 7.49/5.27 ($false),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8169, 89, 8166, 8165])).
% 7.49/5.27 tff(8171,plain,(~node4(s119)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.27 tff(8172,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8173,plain,
% 7.49/5.27 ((node4(s119) | (~until5(s119)) | xuntil6(s119)) <=> (xuntil6(s119) | node4(s119) | (~until5(s119)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8174,plain,
% 7.49/5.27 (((~![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))))),
% 7.49/5.27 inference(monotonicity,[status(thm)],[8173])).
% 7.49/5.27 tff(8175,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(transitivity,[status(thm)],[8174, 8172])).
% 7.49/5.27 tff(8176,plain,
% 7.49/5.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s119) | (~until5(s119)) | xuntil6(s119))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8177,plain,
% 7.49/5.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s119) | node4(s119) | (~until5(s119))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8176, 8175])).
% 7.49/5.27 tff(8178,plain,
% 7.49/5.27 (xuntil6(s119) | (~until5(s119))),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8177, 352, 8171])).
% 7.49/5.27 tff(8179,plain,
% 7.49/5.27 (xuntil6(s119)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8178, 8128])).
% 7.49/5.27 tff(8180,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8181,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8182,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8181, 8180])).
% 7.49/5.27 tff(8183,plain,
% 7.49/5.27 ((~xuntil6(s119)) | until5(s120)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8182, 8140, 370])).
% 7.49/5.27 tff(8184,plain,
% 7.49/5.27 (until5(s120)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8183, 8179])).
% 7.49/5.27 tff(8185,assumption,(node4(s120)), introduced(assumption)).
% 7.49/5.27 tff(8186,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8187,plain,
% 7.49/5.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s120) | (~node4(s120)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8188,plain,
% 7.49/5.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s120) | (~node4(s120))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8187, 8186])).
% 7.49/5.27 tff(8189,plain,
% 7.49/5.27 (m_main_v_request(s120)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8188, 28, 8185])).
% 7.49/5.27 tff(8190,plain,
% 7.49/5.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s120) | (~node4(s120)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s120) | (~node4(s120)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8191,plain,
% 7.49/5.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s120) | (~node4(s120)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8192,plain,
% 7.49/5.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s120) | (~node4(s120))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8191, 8190])).
% 7.49/5.27 tff(8193,plain,
% 7.49/5.27 (always3(s120)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8192, 16, 8185])).
% 7.49/5.27 tff(8194,plain,
% 7.49/5.27 (succ(s120, s121) <=> succ(s120, s121)),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8195,axiom,(succ(s120, s121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound121')).
% 7.49/5.27 tff(8196,plain,
% 7.49/5.27 (succ(s120, s121)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8195, 8194])).
% 7.49/5.27 tff(8197,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8198,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8199,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8198, 8197])).
% 7.49/5.27 tff(8200,plain,
% 7.49/5.27 (trans(s120, s121)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8199, 8196, 39])).
% 7.49/5.27 tff(8201,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8202,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s120, s121)) | (~always3(s120)) | always3(s121))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8203,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s120, s121)) | (~always3(s120)) | always3(s121)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8202, 8201])).
% 7.49/5.27 tff(8204,plain,
% 7.49/5.27 ((~always3(s120)) | always3(s121)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8203, 112, 8200])).
% 7.49/5.27 tff(8205,plain,
% 7.49/5.27 (always3(s121)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8204, 8193])).
% 7.49/5.27 tff(8206,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8207,plain,
% 7.49/5.27 (((~m_main_v_state(s121, c_busy)) | (~always3(s121))) <=> ((~always3(s121)) | (~m_main_v_state(s121, c_busy)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8208,plain,
% 7.49/5.27 (((~![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))))),
% 7.49/5.27 inference(monotonicity,[status(thm)],[8207])).
% 7.49/5.27 tff(8209,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(transitivity,[status(thm)],[8208, 8206])).
% 7.49/5.27 tff(8210,plain,
% 7.49/5.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s121, c_busy)) | (~always3(s121)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8211,plain,
% 7.49/5.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s121)) | (~m_main_v_state(s121, c_busy))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8210, 8209])).
% 7.49/5.27 tff(8212,plain,
% 7.49/5.27 (~m_main_v_state(s121, c_busy)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8211, 72, 8205])).
% 7.49/5.27 tff(8213,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8214,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s120, s121)) | node2(s120, s121))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8215,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s120, s121)) | node2(s120, s121)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8214, 8213])).
% 7.49/5.27 tff(8216,plain,
% 7.49/5.27 (node2(s120, s121)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8215, 7, 8200])).
% 7.49/5.27 tff(8217,plain,
% 7.49/5.27 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8218,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8219,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8218, 8217])).
% 7.49/5.27 tff(8220,plain,
% 7.49/5.27 ((~m_main_v_state(s120, c_ready)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120))),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8219, 60, 8216])).
% 7.49/5.27 tff(8221,plain,
% 7.49/5.27 (~m_main_v_state(s120, c_ready)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8220, 8212, 8189])).
% 7.49/5.27 tff(8222,plain,
% 7.49/5.27 (~m_main_v_state(s120, c_busy)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8155, 72, 8193])).
% 7.49/5.27 tff(8223,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8224,plain,
% 7.49/5.27 ((~![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))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8225,plain,
% 7.49/5.27 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s120, c_busy) | m_main_v_state(s120, c_ready)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 7.49/5.27 tff(8226,plain,
% 7.49/5.27 ($false),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8225, 89, 8222, 8221])).
% 7.49/5.27 tff(8227,plain,(~node4(s120)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.27 tff(8228,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8229,plain,
% 7.49/5.27 ((node4(s120) | (~until5(s120)) | xuntil6(s120)) <=> (xuntil6(s120) | node4(s120) | (~until5(s120)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8230,plain,
% 7.49/5.27 (((~![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))))),
% 7.49/5.27 inference(monotonicity,[status(thm)],[8229])).
% 7.49/5.27 tff(8231,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(transitivity,[status(thm)],[8230, 8228])).
% 7.49/5.27 tff(8232,plain,
% 7.49/5.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s120) | (~until5(s120)) | xuntil6(s120))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8233,plain,
% 7.49/5.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s120) | node4(s120) | (~until5(s120))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 7.49/5.27 tff(8234,plain,
% 7.49/5.27 (xuntil6(s120) | (~until5(s120))),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8233, 352, 8227])).
% 7.49/5.27 tff(8235,plain,
% 7.49/5.27 (xuntil6(s120)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8234, 8184])).
% 7.49/5.27 tff(8236,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8237,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8238,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8237, 8236])).
% 7.49/5.27 tff(8239,plain,
% 7.49/5.27 ((~xuntil6(s120)) | until5(s121)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8238, 8196, 370])).
% 7.49/5.27 tff(8240,plain,
% 7.49/5.27 (until5(s121)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8239, 8235])).
% 7.49/5.27 tff(8241,assumption,(node4(s121)), introduced(assumption)).
% 7.49/5.27 tff(8242,plain,
% 7.49/5.27 (((~![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)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8243,plain,
% 7.49/5.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s121) | (~node4(s121)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8244,plain,
% 7.49/5.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s121) | (~node4(s121))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8243, 8242])).
% 7.49/5.27 tff(8245,plain,
% 7.49/5.27 (m_main_v_request(s121)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8244, 28, 8241])).
% 7.49/5.27 tff(8246,plain,
% 7.49/5.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s121) | (~node4(s121)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s121) | (~node4(s121)))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8247,plain,
% 7.49/5.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s121) | (~node4(s121)))),
% 7.49/5.27 inference(quant_inst,[status(thm)],[])).
% 7.49/5.27 tff(8248,plain,
% 7.49/5.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s121) | (~node4(s121))),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8247, 8246])).
% 7.49/5.27 tff(8249,plain,
% 7.49/5.27 (always3(s121)),
% 7.49/5.27 inference(unit_resolution,[status(thm)],[8248, 16, 8241])).
% 7.49/5.27 tff(8250,plain,
% 7.49/5.27 (succ(s121, s122) <=> succ(s121, s122)),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8251,axiom,(succ(s121, s122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound122')).
% 7.49/5.27 tff(8252,plain,
% 7.49/5.27 (succ(s121, s122)),
% 7.49/5.27 inference(modus_ponens,[status(thm)],[8251, 8250])).
% 7.49/5.27 tff(8253,plain,
% 7.49/5.27 (((~![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))),
% 7.49/5.27 inference(rewrite,[status(thm)],[])).
% 7.49/5.27 tff(8254,plain,
% 7.49/5.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8255,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8254, 8253])).
% 7.49/5.28 tff(8256,plain,
% 7.49/5.28 (trans(s121, s122)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8255, 8252, 39])).
% 7.49/5.28 tff(8257,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8258,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s121, s122)) | (~always3(s121)) | always3(s122))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8259,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s121, s122)) | (~always3(s121)) | always3(s122)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8258, 8257])).
% 7.49/5.28 tff(8260,plain,
% 7.49/5.28 ((~always3(s121)) | always3(s122)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8259, 112, 8256])).
% 7.49/5.28 tff(8261,plain,
% 7.49/5.28 (always3(s122)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8260, 8249])).
% 7.49/5.28 tff(8262,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8263,plain,
% 7.49/5.28 (((~m_main_v_state(s122, c_busy)) | (~always3(s122))) <=> ((~always3(s122)) | (~m_main_v_state(s122, c_busy)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8264,plain,
% 7.49/5.28 (((~![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))))),
% 7.49/5.28 inference(monotonicity,[status(thm)],[8263])).
% 7.49/5.28 tff(8265,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(transitivity,[status(thm)],[8264, 8262])).
% 7.49/5.28 tff(8266,plain,
% 7.49/5.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s122, c_busy)) | (~always3(s122)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8267,plain,
% 7.49/5.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s122)) | (~m_main_v_state(s122, c_busy))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8266, 8265])).
% 7.49/5.28 tff(8268,plain,
% 7.49/5.28 (~m_main_v_state(s122, c_busy)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8267, 72, 8261])).
% 7.49/5.28 tff(8269,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8270,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s121, s122)) | node2(s121, s122))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8271,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s121, s122)) | node2(s121, s122)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8270, 8269])).
% 7.49/5.28 tff(8272,plain,
% 7.49/5.28 (node2(s121, s122)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8271, 7, 8256])).
% 7.49/5.28 tff(8273,plain,
% 7.49/5.28 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8274,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8275,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8274, 8273])).
% 7.49/5.28 tff(8276,plain,
% 7.49/5.28 ((~m_main_v_state(s121, c_ready)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121))),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8275, 60, 8272])).
% 7.49/5.28 tff(8277,plain,
% 7.49/5.28 (~m_main_v_state(s121, c_ready)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8276, 8268, 8245])).
% 7.49/5.28 tff(8278,plain,
% 7.49/5.28 (~m_main_v_state(s121, c_busy)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8211, 72, 8249])).
% 7.49/5.28 tff(8279,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8280,plain,
% 7.49/5.28 ((~![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))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8281,plain,
% 7.49/5.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s121, c_busy) | m_main_v_state(s121, c_ready)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8280, 8279])).
% 7.49/5.28 tff(8282,plain,
% 7.49/5.28 ($false),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8281, 89, 8278, 8277])).
% 7.49/5.28 tff(8283,plain,(~node4(s121)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.28 tff(8284,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8285,plain,
% 7.49/5.28 ((node4(s121) | (~until5(s121)) | xuntil6(s121)) <=> (xuntil6(s121) | node4(s121) | (~until5(s121)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8286,plain,
% 7.49/5.28 (((~![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))))),
% 7.49/5.28 inference(monotonicity,[status(thm)],[8285])).
% 7.49/5.28 tff(8287,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(transitivity,[status(thm)],[8286, 8284])).
% 7.49/5.28 tff(8288,plain,
% 7.49/5.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s121) | (~until5(s121)) | xuntil6(s121))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8289,plain,
% 7.49/5.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s121) | node4(s121) | (~until5(s121))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8288, 8287])).
% 7.49/5.28 tff(8290,plain,
% 7.49/5.28 (xuntil6(s121) | (~until5(s121))),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8289, 352, 8283])).
% 7.49/5.28 tff(8291,plain,
% 7.49/5.28 (xuntil6(s121)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8290, 8240])).
% 7.49/5.28 tff(8292,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8293,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8294,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8293, 8292])).
% 7.49/5.28 tff(8295,plain,
% 7.49/5.28 ((~xuntil6(s121)) | until5(s122)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8294, 8252, 370])).
% 7.49/5.28 tff(8296,plain,
% 7.49/5.28 (until5(s122)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8295, 8291])).
% 7.49/5.28 tff(8297,assumption,(node4(s122)), introduced(assumption)).
% 7.49/5.28 tff(8298,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8299,plain,
% 7.49/5.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s122) | (~node4(s122)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8300,plain,
% 7.49/5.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s122) | (~node4(s122))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8299, 8298])).
% 7.49/5.28 tff(8301,plain,
% 7.49/5.28 (m_main_v_request(s122)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8300, 28, 8297])).
% 7.49/5.28 tff(8302,plain,
% 7.49/5.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s122) | (~node4(s122)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s122) | (~node4(s122)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8303,plain,
% 7.49/5.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s122) | (~node4(s122)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8304,plain,
% 7.49/5.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s122) | (~node4(s122))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8303, 8302])).
% 7.49/5.28 tff(8305,plain,
% 7.49/5.28 (always3(s122)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8304, 16, 8297])).
% 7.49/5.28 tff(8306,plain,
% 7.49/5.28 (succ(s122, s123) <=> succ(s122, s123)),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8307,axiom,(succ(s122, s123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound123')).
% 7.49/5.28 tff(8308,plain,
% 7.49/5.28 (succ(s122, s123)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 7.49/5.28 tff(8309,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8310,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8311,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8310, 8309])).
% 7.49/5.28 tff(8312,plain,
% 7.49/5.28 (trans(s122, s123)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8311, 8308, 39])).
% 7.49/5.28 tff(8313,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8314,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s122, s123)) | (~always3(s122)) | always3(s123))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8315,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s122, s123)) | (~always3(s122)) | always3(s123)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8314, 8313])).
% 7.49/5.28 tff(8316,plain,
% 7.49/5.28 ((~always3(s122)) | always3(s123)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8315, 112, 8312])).
% 7.49/5.28 tff(8317,plain,
% 7.49/5.28 (always3(s123)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8316, 8305])).
% 7.49/5.28 tff(8318,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8319,plain,
% 7.49/5.28 (((~m_main_v_state(s123, c_busy)) | (~always3(s123))) <=> ((~always3(s123)) | (~m_main_v_state(s123, c_busy)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8320,plain,
% 7.49/5.28 (((~![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))))),
% 7.49/5.28 inference(monotonicity,[status(thm)],[8319])).
% 7.49/5.28 tff(8321,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(transitivity,[status(thm)],[8320, 8318])).
% 7.49/5.28 tff(8322,plain,
% 7.49/5.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s123, c_busy)) | (~always3(s123)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8323,plain,
% 7.49/5.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s123)) | (~m_main_v_state(s123, c_busy))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8322, 8321])).
% 7.49/5.28 tff(8324,plain,
% 7.49/5.28 (~m_main_v_state(s123, c_busy)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8323, 72, 8317])).
% 7.49/5.28 tff(8325,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8326,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s122, s123)) | node2(s122, s123))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8327,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s122, s123)) | node2(s122, s123)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8326, 8325])).
% 7.49/5.28 tff(8328,plain,
% 7.49/5.28 (node2(s122, s123)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8327, 7, 8312])).
% 7.49/5.28 tff(8329,plain,
% 7.49/5.28 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8330,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8331,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8330, 8329])).
% 7.49/5.28 tff(8332,plain,
% 7.49/5.28 ((~m_main_v_state(s122, c_ready)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122))),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8331, 60, 8328])).
% 7.49/5.28 tff(8333,plain,
% 7.49/5.28 (~m_main_v_state(s122, c_ready)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8332, 8324, 8301])).
% 7.49/5.28 tff(8334,plain,
% 7.49/5.28 (~m_main_v_state(s122, c_busy)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8267, 72, 8305])).
% 7.49/5.28 tff(8335,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8336,plain,
% 7.49/5.28 ((~![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))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8337,plain,
% 7.49/5.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s122, c_busy) | m_main_v_state(s122, c_ready)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8336, 8335])).
% 7.49/5.28 tff(8338,plain,
% 7.49/5.28 ($false),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8337, 89, 8334, 8333])).
% 7.49/5.28 tff(8339,plain,(~node4(s122)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.28 tff(8340,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8341,plain,
% 7.49/5.28 ((node4(s122) | (~until5(s122)) | xuntil6(s122)) <=> (xuntil6(s122) | node4(s122) | (~until5(s122)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8342,plain,
% 7.49/5.28 (((~![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))))),
% 7.49/5.28 inference(monotonicity,[status(thm)],[8341])).
% 7.49/5.28 tff(8343,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(transitivity,[status(thm)],[8342, 8340])).
% 7.49/5.28 tff(8344,plain,
% 7.49/5.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s122) | (~until5(s122)) | xuntil6(s122))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8345,plain,
% 7.49/5.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s122) | node4(s122) | (~until5(s122))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8344, 8343])).
% 7.49/5.28 tff(8346,plain,
% 7.49/5.28 (xuntil6(s122) | (~until5(s122))),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8345, 352, 8339])).
% 7.49/5.28 tff(8347,plain,
% 7.49/5.28 (xuntil6(s122)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8346, 8296])).
% 7.49/5.28 tff(8348,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8349,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8350,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8349, 8348])).
% 7.49/5.28 tff(8351,plain,
% 7.49/5.28 ((~xuntil6(s122)) | until5(s123)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8350, 8308, 370])).
% 7.49/5.28 tff(8352,plain,
% 7.49/5.28 (until5(s123)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8351, 8347])).
% 7.49/5.28 tff(8353,assumption,(node4(s123)), introduced(assumption)).
% 7.49/5.28 tff(8354,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8355,plain,
% 7.49/5.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s123) | (~node4(s123)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8356,plain,
% 7.49/5.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s123) | (~node4(s123))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8355, 8354])).
% 7.49/5.28 tff(8357,plain,
% 7.49/5.28 (m_main_v_request(s123)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8356, 28, 8353])).
% 7.49/5.28 tff(8358,plain,
% 7.49/5.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s123) | (~node4(s123)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s123) | (~node4(s123)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8359,plain,
% 7.49/5.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s123) | (~node4(s123)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8360,plain,
% 7.49/5.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s123) | (~node4(s123))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8359, 8358])).
% 7.49/5.28 tff(8361,plain,
% 7.49/5.28 (always3(s123)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8360, 16, 8353])).
% 7.49/5.28 tff(8362,plain,
% 7.49/5.28 (succ(s123, s124) <=> succ(s123, s124)),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8363,axiom,(succ(s123, s124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound124')).
% 7.49/5.28 tff(8364,plain,
% 7.49/5.28 (succ(s123, s124)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8363, 8362])).
% 7.49/5.28 tff(8365,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8366,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8367,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8366, 8365])).
% 7.49/5.28 tff(8368,plain,
% 7.49/5.28 (trans(s123, s124)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8367, 8364, 39])).
% 7.49/5.28 tff(8369,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8370,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s123, s124)) | (~always3(s123)) | always3(s124))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8371,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s123, s124)) | (~always3(s123)) | always3(s124)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 7.49/5.28 tff(8372,plain,
% 7.49/5.28 ((~always3(s123)) | always3(s124)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8371, 112, 8368])).
% 7.49/5.28 tff(8373,plain,
% 7.49/5.28 (always3(s124)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8372, 8361])).
% 7.49/5.28 tff(8374,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8375,plain,
% 7.49/5.28 (((~m_main_v_state(s124, c_busy)) | (~always3(s124))) <=> ((~always3(s124)) | (~m_main_v_state(s124, c_busy)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8376,plain,
% 7.49/5.28 (((~![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))))),
% 7.49/5.28 inference(monotonicity,[status(thm)],[8375])).
% 7.49/5.28 tff(8377,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(transitivity,[status(thm)],[8376, 8374])).
% 7.49/5.28 tff(8378,plain,
% 7.49/5.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s124, c_busy)) | (~always3(s124)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8379,plain,
% 7.49/5.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s124)) | (~m_main_v_state(s124, c_busy))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8378, 8377])).
% 7.49/5.28 tff(8380,plain,
% 7.49/5.28 (~m_main_v_state(s124, c_busy)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8379, 72, 8373])).
% 7.49/5.28 tff(8381,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8382,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s123, s124)) | node2(s123, s124))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8383,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s123, s124)) | node2(s123, s124)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8382, 8381])).
% 7.49/5.28 tff(8384,plain,
% 7.49/5.28 (node2(s123, s124)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8383, 7, 8368])).
% 7.49/5.28 tff(8385,plain,
% 7.49/5.28 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8386,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s123, c_ready)) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8387,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s123, c_ready)) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8386, 8385])).
% 7.49/5.28 tff(8388,plain,
% 7.49/5.28 ((~m_main_v_state(s123, c_ready)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123))),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8387, 60, 8384])).
% 7.49/5.28 tff(8389,plain,
% 7.49/5.28 (~m_main_v_state(s123, c_ready)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8388, 8380, 8357])).
% 7.49/5.28 tff(8390,plain,
% 7.49/5.28 (~m_main_v_state(s123, c_busy)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8323, 72, 8361])).
% 7.49/5.28 tff(8391,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8392,plain,
% 7.49/5.28 ((~![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))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8393,plain,
% 7.49/5.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s123, c_busy) | m_main_v_state(s123, c_ready)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8392, 8391])).
% 7.49/5.28 tff(8394,plain,
% 7.49/5.28 ($false),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8393, 89, 8390, 8389])).
% 7.49/5.28 tff(8395,plain,(~node4(s123)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.28 tff(8396,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8397,plain,
% 7.49/5.28 ((node4(s123) | (~until5(s123)) | xuntil6(s123)) <=> (xuntil6(s123) | node4(s123) | (~until5(s123)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8398,plain,
% 7.49/5.28 (((~![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))))),
% 7.49/5.28 inference(monotonicity,[status(thm)],[8397])).
% 7.49/5.28 tff(8399,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(transitivity,[status(thm)],[8398, 8396])).
% 7.49/5.28 tff(8400,plain,
% 7.49/5.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s123) | (~until5(s123)) | xuntil6(s123))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8401,plain,
% 7.49/5.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s123) | node4(s123) | (~until5(s123))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 7.49/5.28 tff(8402,plain,
% 7.49/5.28 (xuntil6(s123) | (~until5(s123))),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8401, 352, 8395])).
% 7.49/5.28 tff(8403,plain,
% 7.49/5.28 (xuntil6(s123)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8402, 8352])).
% 7.49/5.28 tff(8404,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8405,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8406,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8405, 8404])).
% 7.49/5.28 tff(8407,plain,
% 7.49/5.28 ((~xuntil6(s123)) | until5(s124)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8406, 8364, 370])).
% 7.49/5.28 tff(8408,plain,
% 7.49/5.28 (until5(s124)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8407, 8403])).
% 7.49/5.28 tff(8409,assumption,(node4(s124)), introduced(assumption)).
% 7.49/5.28 tff(8410,plain,
% 7.49/5.28 (((~![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)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8411,plain,
% 7.49/5.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s124) | (~node4(s124)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8412,plain,
% 7.49/5.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s124) | (~node4(s124))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8411, 8410])).
% 7.49/5.28 tff(8413,plain,
% 7.49/5.28 (m_main_v_request(s124)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8412, 28, 8409])).
% 7.49/5.28 tff(8414,plain,
% 7.49/5.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s124) | (~node4(s124)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s124) | (~node4(s124)))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8415,plain,
% 7.49/5.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s124) | (~node4(s124)))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8416,plain,
% 7.49/5.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s124) | (~node4(s124))),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8415, 8414])).
% 7.49/5.28 tff(8417,plain,
% 7.49/5.28 (always3(s124)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8416, 16, 8409])).
% 7.49/5.28 tff(8418,plain,
% 7.49/5.28 (succ(s124, s125) <=> succ(s124, s125)),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8419,axiom,(succ(s124, s125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound125')).
% 7.49/5.28 tff(8420,plain,
% 7.49/5.28 (succ(s124, s125)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8419, 8418])).
% 7.49/5.28 tff(8421,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.28 inference(rewrite,[status(thm)],[])).
% 7.49/5.28 tff(8422,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))),
% 7.49/5.28 inference(quant_inst,[status(thm)],[])).
% 7.49/5.28 tff(8423,plain,
% 7.49/5.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125)),
% 7.49/5.28 inference(modus_ponens,[status(thm)],[8422, 8421])).
% 7.49/5.28 tff(8424,plain,
% 7.49/5.28 (trans(s124, s125)),
% 7.49/5.28 inference(unit_resolution,[status(thm)],[8423, 8420, 39])).
% 7.49/5.28 tff(8425,plain,
% 7.49/5.28 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8426,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s124, s125)) | (~always3(s124)) | always3(s125))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8427,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s124, s125)) | (~always3(s124)) | always3(s125)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8426, 8425])).
% 7.49/5.29 tff(8428,plain,
% 7.49/5.29 ((~always3(s124)) | always3(s125)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8427, 112, 8424])).
% 7.49/5.29 tff(8429,plain,
% 7.49/5.29 (always3(s125)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8428, 8417])).
% 7.49/5.29 tff(8430,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8431,plain,
% 7.49/5.29 (((~m_main_v_state(s125, c_busy)) | (~always3(s125))) <=> ((~always3(s125)) | (~m_main_v_state(s125, c_busy)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8432,plain,
% 7.49/5.29 (((~![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))))),
% 7.49/5.29 inference(monotonicity,[status(thm)],[8431])).
% 7.49/5.29 tff(8433,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(transitivity,[status(thm)],[8432, 8430])).
% 7.49/5.29 tff(8434,plain,
% 7.49/5.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s125, c_busy)) | (~always3(s125)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8435,plain,
% 7.49/5.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s125)) | (~m_main_v_state(s125, c_busy))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8434, 8433])).
% 7.49/5.29 tff(8436,plain,
% 7.49/5.29 (~m_main_v_state(s125, c_busy)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8435, 72, 8429])).
% 7.49/5.29 tff(8437,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8438,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s124, s125)) | node2(s124, s125))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8439,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s124, s125)) | node2(s124, s125)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8438, 8437])).
% 7.49/5.29 tff(8440,plain,
% 7.49/5.29 (node2(s124, s125)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8439, 7, 8424])).
% 7.49/5.29 tff(8441,plain,
% 7.49/5.29 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8442,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8443,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8442, 8441])).
% 7.49/5.29 tff(8444,plain,
% 7.49/5.29 ((~m_main_v_state(s124, c_ready)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124))),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8443, 60, 8440])).
% 7.49/5.29 tff(8445,plain,
% 7.49/5.29 (~m_main_v_state(s124, c_ready)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8444, 8436, 8413])).
% 7.49/5.29 tff(8446,plain,
% 7.49/5.29 (~m_main_v_state(s124, c_busy)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8379, 72, 8417])).
% 7.49/5.29 tff(8447,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8448,plain,
% 7.49/5.29 ((~![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))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8449,plain,
% 7.49/5.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s124, c_busy) | m_main_v_state(s124, c_ready)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8448, 8447])).
% 7.49/5.29 tff(8450,plain,
% 7.49/5.29 ($false),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8449, 89, 8446, 8445])).
% 7.49/5.29 tff(8451,plain,(~node4(s124)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.29 tff(8452,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8453,plain,
% 7.49/5.29 ((node4(s124) | (~until5(s124)) | xuntil6(s124)) <=> (xuntil6(s124) | node4(s124) | (~until5(s124)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8454,plain,
% 7.49/5.29 (((~![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))))),
% 7.49/5.29 inference(monotonicity,[status(thm)],[8453])).
% 7.49/5.29 tff(8455,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(transitivity,[status(thm)],[8454, 8452])).
% 7.49/5.29 tff(8456,plain,
% 7.49/5.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s124) | (~until5(s124)) | xuntil6(s124))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8457,plain,
% 7.49/5.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s124) | node4(s124) | (~until5(s124))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8456, 8455])).
% 7.49/5.29 tff(8458,plain,
% 7.49/5.29 (xuntil6(s124) | (~until5(s124))),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8457, 352, 8451])).
% 7.49/5.29 tff(8459,plain,
% 7.49/5.29 (xuntil6(s124)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8458, 8408])).
% 7.49/5.29 tff(8460,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8461,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8462,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8461, 8460])).
% 7.49/5.29 tff(8463,plain,
% 7.49/5.29 ((~xuntil6(s124)) | until5(s125)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8462, 8420, 370])).
% 7.49/5.29 tff(8464,plain,
% 7.49/5.29 (until5(s125)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8463, 8459])).
% 7.49/5.29 tff(8465,assumption,(node4(s125)), introduced(assumption)).
% 7.49/5.29 tff(8466,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8467,plain,
% 7.49/5.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s125) | (~node4(s125)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8468,plain,
% 7.49/5.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s125) | (~node4(s125))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8467, 8466])).
% 7.49/5.29 tff(8469,plain,
% 7.49/5.29 (m_main_v_request(s125)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8468, 28, 8465])).
% 7.49/5.29 tff(8470,plain,
% 7.49/5.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s125) | (~node4(s125)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s125) | (~node4(s125)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8471,plain,
% 7.49/5.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s125) | (~node4(s125)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8472,plain,
% 7.49/5.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s125) | (~node4(s125))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8471, 8470])).
% 7.49/5.29 tff(8473,plain,
% 7.49/5.29 (always3(s125)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8472, 16, 8465])).
% 7.49/5.29 tff(8474,plain,
% 7.49/5.29 (succ(s125, s126) <=> succ(s125, s126)),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8475,axiom,(succ(s125, s126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound126')).
% 7.49/5.29 tff(8476,plain,
% 7.49/5.29 (succ(s125, s126)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8475, 8474])).
% 7.49/5.29 tff(8477,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8478,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8479,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8478, 8477])).
% 7.49/5.29 tff(8480,plain,
% 7.49/5.29 (trans(s125, s126)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8479, 8476, 39])).
% 7.49/5.29 tff(8481,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8482,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s125, s126)) | (~always3(s125)) | always3(s126))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8483,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s125, s126)) | (~always3(s125)) | always3(s126)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8482, 8481])).
% 7.49/5.29 tff(8484,plain,
% 7.49/5.29 ((~always3(s125)) | always3(s126)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8483, 112, 8480])).
% 7.49/5.29 tff(8485,plain,
% 7.49/5.29 (always3(s126)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8484, 8473])).
% 7.49/5.29 tff(8486,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8487,plain,
% 7.49/5.29 (((~m_main_v_state(s126, c_busy)) | (~always3(s126))) <=> ((~always3(s126)) | (~m_main_v_state(s126, c_busy)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8488,plain,
% 7.49/5.29 (((~![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))))),
% 7.49/5.29 inference(monotonicity,[status(thm)],[8487])).
% 7.49/5.29 tff(8489,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(transitivity,[status(thm)],[8488, 8486])).
% 7.49/5.29 tff(8490,plain,
% 7.49/5.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s126, c_busy)) | (~always3(s126)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8491,plain,
% 7.49/5.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s126)) | (~m_main_v_state(s126, c_busy))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8490, 8489])).
% 7.49/5.29 tff(8492,plain,
% 7.49/5.29 (~m_main_v_state(s126, c_busy)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8491, 72, 8485])).
% 7.49/5.29 tff(8493,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8494,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s125, s126)) | node2(s125, s126))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8495,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s125, s126)) | node2(s125, s126)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8494, 8493])).
% 7.49/5.29 tff(8496,plain,
% 7.49/5.29 (node2(s125, s126)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8495, 7, 8480])).
% 7.49/5.29 tff(8497,plain,
% 7.49/5.29 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8498,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8499,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8498, 8497])).
% 7.49/5.29 tff(8500,plain,
% 7.49/5.29 ((~m_main_v_state(s125, c_ready)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125))),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8499, 60, 8496])).
% 7.49/5.29 tff(8501,plain,
% 7.49/5.29 (~m_main_v_state(s125, c_ready)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8500, 8492, 8469])).
% 7.49/5.29 tff(8502,plain,
% 7.49/5.29 (~m_main_v_state(s125, c_busy)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8435, 72, 8473])).
% 7.49/5.29 tff(8503,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8504,plain,
% 7.49/5.29 ((~![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))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8505,plain,
% 7.49/5.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s125, c_busy) | m_main_v_state(s125, c_ready)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8504, 8503])).
% 7.49/5.29 tff(8506,plain,
% 7.49/5.29 ($false),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8505, 89, 8502, 8501])).
% 7.49/5.29 tff(8507,plain,(~node4(s125)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.29 tff(8508,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8509,plain,
% 7.49/5.29 ((node4(s125) | (~until5(s125)) | xuntil6(s125)) <=> (xuntil6(s125) | node4(s125) | (~until5(s125)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8510,plain,
% 7.49/5.29 (((~![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))))),
% 7.49/5.29 inference(monotonicity,[status(thm)],[8509])).
% 7.49/5.29 tff(8511,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(transitivity,[status(thm)],[8510, 8508])).
% 7.49/5.29 tff(8512,plain,
% 7.49/5.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s125) | (~until5(s125)) | xuntil6(s125))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8513,plain,
% 7.49/5.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s125) | node4(s125) | (~until5(s125))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8512, 8511])).
% 7.49/5.29 tff(8514,plain,
% 7.49/5.29 (xuntil6(s125) | (~until5(s125))),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8513, 352, 8507])).
% 7.49/5.29 tff(8515,plain,
% 7.49/5.29 (xuntil6(s125)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8514, 8464])).
% 7.49/5.29 tff(8516,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8517,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8518,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 7.49/5.29 tff(8519,plain,
% 7.49/5.29 ((~xuntil6(s125)) | until5(s126)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8518, 8476, 370])).
% 7.49/5.29 tff(8520,plain,
% 7.49/5.29 (until5(s126)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8519, 8515])).
% 7.49/5.29 tff(8521,assumption,(node4(s126)), introduced(assumption)).
% 7.49/5.29 tff(8522,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8523,plain,
% 7.49/5.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s126) | (~node4(s126)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8524,plain,
% 7.49/5.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s126) | (~node4(s126))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8523, 8522])).
% 7.49/5.29 tff(8525,plain,
% 7.49/5.29 (m_main_v_request(s126)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8524, 28, 8521])).
% 7.49/5.29 tff(8526,plain,
% 7.49/5.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s126) | (~node4(s126)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s126) | (~node4(s126)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8527,plain,
% 7.49/5.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s126) | (~node4(s126)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8528,plain,
% 7.49/5.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s126) | (~node4(s126))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8527, 8526])).
% 7.49/5.29 tff(8529,plain,
% 7.49/5.29 (always3(s126)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8528, 16, 8521])).
% 7.49/5.29 tff(8530,plain,
% 7.49/5.29 (succ(s126, s127) <=> succ(s126, s127)),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8531,axiom,(succ(s126, s127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound127')).
% 7.49/5.29 tff(8532,plain,
% 7.49/5.29 (succ(s126, s127)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8531, 8530])).
% 7.49/5.29 tff(8533,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8534,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8535,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8534, 8533])).
% 7.49/5.29 tff(8536,plain,
% 7.49/5.29 (trans(s126, s127)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8535, 8532, 39])).
% 7.49/5.29 tff(8537,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8538,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s126, s127)) | (~always3(s126)) | always3(s127))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8539,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s126, s127)) | (~always3(s126)) | always3(s127)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8538, 8537])).
% 7.49/5.29 tff(8540,plain,
% 7.49/5.29 ((~always3(s126)) | always3(s127)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8539, 112, 8536])).
% 7.49/5.29 tff(8541,plain,
% 7.49/5.29 (always3(s127)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8540, 8529])).
% 7.49/5.29 tff(8542,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8543,plain,
% 7.49/5.29 (((~m_main_v_state(s127, c_busy)) | (~always3(s127))) <=> ((~always3(s127)) | (~m_main_v_state(s127, c_busy)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8544,plain,
% 7.49/5.29 (((~![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))))),
% 7.49/5.29 inference(monotonicity,[status(thm)],[8543])).
% 7.49/5.29 tff(8545,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(transitivity,[status(thm)],[8544, 8542])).
% 7.49/5.29 tff(8546,plain,
% 7.49/5.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s127, c_busy)) | (~always3(s127)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8547,plain,
% 7.49/5.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s127)) | (~m_main_v_state(s127, c_busy))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 7.49/5.29 tff(8548,plain,
% 7.49/5.29 (~m_main_v_state(s127, c_busy)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8547, 72, 8541])).
% 7.49/5.29 tff(8549,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8550,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s126, s127)) | node2(s126, s127))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8551,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s126, s127)) | node2(s126, s127)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8550, 8549])).
% 7.49/5.29 tff(8552,plain,
% 7.49/5.29 (node2(s126, s127)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8551, 7, 8536])).
% 7.49/5.29 tff(8553,plain,
% 7.49/5.29 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8554,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8555,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8554, 8553])).
% 7.49/5.29 tff(8556,plain,
% 7.49/5.29 ((~m_main_v_state(s126, c_ready)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126))),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8555, 60, 8552])).
% 7.49/5.29 tff(8557,plain,
% 7.49/5.29 (~m_main_v_state(s126, c_ready)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8556, 8548, 8525])).
% 7.49/5.29 tff(8558,plain,
% 7.49/5.29 (~m_main_v_state(s126, c_busy)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8491, 72, 8529])).
% 7.49/5.29 tff(8559,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8560,plain,
% 7.49/5.29 ((~![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))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8561,plain,
% 7.49/5.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s126, c_busy) | m_main_v_state(s126, c_ready)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8560, 8559])).
% 7.49/5.29 tff(8562,plain,
% 7.49/5.29 ($false),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8561, 89, 8558, 8557])).
% 7.49/5.29 tff(8563,plain,(~node4(s126)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.29 tff(8564,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8565,plain,
% 7.49/5.29 ((node4(s126) | (~until5(s126)) | xuntil6(s126)) <=> (xuntil6(s126) | node4(s126) | (~until5(s126)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8566,plain,
% 7.49/5.29 (((~![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))))),
% 7.49/5.29 inference(monotonicity,[status(thm)],[8565])).
% 7.49/5.29 tff(8567,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(transitivity,[status(thm)],[8566, 8564])).
% 7.49/5.29 tff(8568,plain,
% 7.49/5.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s126) | (~until5(s126)) | xuntil6(s126))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8569,plain,
% 7.49/5.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s126) | node4(s126) | (~until5(s126))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8568, 8567])).
% 7.49/5.29 tff(8570,plain,
% 7.49/5.29 (xuntil6(s126) | (~until5(s126))),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8569, 352, 8563])).
% 7.49/5.29 tff(8571,plain,
% 7.49/5.29 (xuntil6(s126)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8570, 8520])).
% 7.49/5.29 tff(8572,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8573,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8574,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8573, 8572])).
% 7.49/5.29 tff(8575,plain,
% 7.49/5.29 ((~xuntil6(s126)) | until5(s127)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8574, 8532, 370])).
% 7.49/5.29 tff(8576,plain,
% 7.49/5.29 (until5(s127)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8575, 8571])).
% 7.49/5.29 tff(8577,assumption,(node4(s127)), introduced(assumption)).
% 7.49/5.29 tff(8578,plain,
% 7.49/5.29 (((~![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)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8579,plain,
% 7.49/5.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s127) | (~node4(s127)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8580,plain,
% 7.49/5.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s127) | (~node4(s127))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8579, 8578])).
% 7.49/5.29 tff(8581,plain,
% 7.49/5.29 (m_main_v_request(s127)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8580, 28, 8577])).
% 7.49/5.29 tff(8582,plain,
% 7.49/5.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s127) | (~node4(s127)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s127) | (~node4(s127)))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8583,plain,
% 7.49/5.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s127) | (~node4(s127)))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8584,plain,
% 7.49/5.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s127) | (~node4(s127))),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8583, 8582])).
% 7.49/5.29 tff(8585,plain,
% 7.49/5.29 (always3(s127)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8584, 16, 8577])).
% 7.49/5.29 tff(8586,plain,
% 7.49/5.29 (succ(s127, s128) <=> succ(s127, s128)),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8587,axiom,(succ(s127, s128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound128')).
% 7.49/5.29 tff(8588,plain,
% 7.49/5.29 (succ(s127, s128)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8587, 8586])).
% 7.49/5.29 tff(8589,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8590,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8591,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8590, 8589])).
% 7.49/5.29 tff(8592,plain,
% 7.49/5.29 (trans(s127, s128)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8591, 8588, 39])).
% 7.49/5.29 tff(8593,plain,
% 7.49/5.29 (((~![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))),
% 7.49/5.29 inference(rewrite,[status(thm)],[])).
% 7.49/5.29 tff(8594,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s127, s128)) | (~always3(s127)) | always3(s128))),
% 7.49/5.29 inference(quant_inst,[status(thm)],[])).
% 7.49/5.29 tff(8595,plain,
% 7.49/5.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s127, s128)) | (~always3(s127)) | always3(s128)),
% 7.49/5.29 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 7.49/5.29 tff(8596,plain,
% 7.49/5.29 ((~always3(s127)) | always3(s128)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8595, 112, 8592])).
% 7.49/5.29 tff(8597,plain,
% 7.49/5.29 (always3(s128)),
% 7.49/5.29 inference(unit_resolution,[status(thm)],[8596, 8585])).
% 7.49/5.30 tff(8598,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8599,plain,
% 7.49/5.30 (((~m_main_v_state(s128, c_busy)) | (~always3(s128))) <=> ((~always3(s128)) | (~m_main_v_state(s128, c_busy)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8600,plain,
% 7.49/5.30 (((~![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))))),
% 7.49/5.30 inference(monotonicity,[status(thm)],[8599])).
% 7.49/5.30 tff(8601,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(transitivity,[status(thm)],[8600, 8598])).
% 7.49/5.30 tff(8602,plain,
% 7.49/5.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s128, c_busy)) | (~always3(s128)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8603,plain,
% 7.49/5.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s128)) | (~m_main_v_state(s128, c_busy))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8602, 8601])).
% 7.49/5.30 tff(8604,plain,
% 7.49/5.30 (~m_main_v_state(s128, c_busy)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8603, 72, 8597])).
% 7.49/5.30 tff(8605,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8606,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s127, s128)) | node2(s127, s128))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8607,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s127, s128)) | node2(s127, s128)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8606, 8605])).
% 7.49/5.30 tff(8608,plain,
% 7.49/5.30 (node2(s127, s128)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8607, 7, 8592])).
% 7.49/5.30 tff(8609,plain,
% 7.49/5.30 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8610,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8611,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8610, 8609])).
% 7.49/5.30 tff(8612,plain,
% 7.49/5.30 ((~m_main_v_state(s127, c_ready)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127))),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8611, 60, 8608])).
% 7.49/5.30 tff(8613,plain,
% 7.49/5.30 (~m_main_v_state(s127, c_ready)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8612, 8604, 8581])).
% 7.49/5.30 tff(8614,plain,
% 7.49/5.30 (~m_main_v_state(s127, c_busy)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8547, 72, 8585])).
% 7.49/5.30 tff(8615,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8616,plain,
% 7.49/5.30 ((~![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))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8617,plain,
% 7.49/5.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s127, c_busy) | m_main_v_state(s127, c_ready)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8616, 8615])).
% 7.49/5.30 tff(8618,plain,
% 7.49/5.30 ($false),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8617, 89, 8614, 8613])).
% 7.49/5.30 tff(8619,plain,(~node4(s127)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.30 tff(8620,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8621,plain,
% 7.49/5.30 ((node4(s127) | (~until5(s127)) | xuntil6(s127)) <=> (xuntil6(s127) | node4(s127) | (~until5(s127)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8622,plain,
% 7.49/5.30 (((~![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))))),
% 7.49/5.30 inference(monotonicity,[status(thm)],[8621])).
% 7.49/5.30 tff(8623,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(transitivity,[status(thm)],[8622, 8620])).
% 7.49/5.30 tff(8624,plain,
% 7.49/5.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s127) | (~until5(s127)) | xuntil6(s127))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8625,plain,
% 7.49/5.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s127) | node4(s127) | (~until5(s127))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8624, 8623])).
% 7.49/5.30 tff(8626,plain,
% 7.49/5.30 (xuntil6(s127) | (~until5(s127))),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8625, 352, 8619])).
% 7.49/5.30 tff(8627,plain,
% 7.49/5.30 (xuntil6(s127)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8626, 8576])).
% 7.49/5.30 tff(8628,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8629,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8630,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8629, 8628])).
% 7.49/5.30 tff(8631,plain,
% 7.49/5.30 ((~xuntil6(s127)) | until5(s128)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8630, 8588, 370])).
% 7.49/5.30 tff(8632,plain,
% 7.49/5.30 (until5(s128)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8631, 8627])).
% 7.49/5.30 tff(8633,assumption,(node4(s128)), introduced(assumption)).
% 7.49/5.30 tff(8634,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8635,plain,
% 7.49/5.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s128) | (~node4(s128)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8636,plain,
% 7.49/5.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s128) | (~node4(s128))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8635, 8634])).
% 7.49/5.30 tff(8637,plain,
% 7.49/5.30 (m_main_v_request(s128)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8636, 28, 8633])).
% 7.49/5.30 tff(8638,plain,
% 7.49/5.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s128) | (~node4(s128)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s128) | (~node4(s128)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8639,plain,
% 7.49/5.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s128) | (~node4(s128)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8640,plain,
% 7.49/5.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s128) | (~node4(s128))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8639, 8638])).
% 7.49/5.30 tff(8641,plain,
% 7.49/5.30 (always3(s128)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8640, 16, 8633])).
% 7.49/5.30 tff(8642,plain,
% 7.49/5.30 (succ(s128, s129) <=> succ(s128, s129)),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8643,axiom,(succ(s128, s129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound129')).
% 7.49/5.30 tff(8644,plain,
% 7.49/5.30 (succ(s128, s129)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8643, 8642])).
% 7.49/5.30 tff(8645,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8646,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8647,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8646, 8645])).
% 7.49/5.30 tff(8648,plain,
% 7.49/5.30 (trans(s128, s129)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8647, 8644, 39])).
% 7.49/5.30 tff(8649,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8650,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s128, s129)) | (~always3(s128)) | always3(s129))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8651,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s128, s129)) | (~always3(s128)) | always3(s129)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8650, 8649])).
% 7.49/5.30 tff(8652,plain,
% 7.49/5.30 ((~always3(s128)) | always3(s129)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8651, 112, 8648])).
% 7.49/5.30 tff(8653,plain,
% 7.49/5.30 (always3(s129)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8652, 8641])).
% 7.49/5.30 tff(8654,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8655,plain,
% 7.49/5.30 (((~m_main_v_state(s129, c_busy)) | (~always3(s129))) <=> ((~always3(s129)) | (~m_main_v_state(s129, c_busy)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8656,plain,
% 7.49/5.30 (((~![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))))),
% 7.49/5.30 inference(monotonicity,[status(thm)],[8655])).
% 7.49/5.30 tff(8657,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(transitivity,[status(thm)],[8656, 8654])).
% 7.49/5.30 tff(8658,plain,
% 7.49/5.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s129, c_busy)) | (~always3(s129)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8659,plain,
% 7.49/5.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s129)) | (~m_main_v_state(s129, c_busy))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8658, 8657])).
% 7.49/5.30 tff(8660,plain,
% 7.49/5.30 (~m_main_v_state(s129, c_busy)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8659, 72, 8653])).
% 7.49/5.30 tff(8661,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8662,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s128, s129)) | node2(s128, s129))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8663,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s128, s129)) | node2(s128, s129)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8662, 8661])).
% 7.49/5.30 tff(8664,plain,
% 7.49/5.30 (node2(s128, s129)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8663, 7, 8648])).
% 7.49/5.30 tff(8665,plain,
% 7.49/5.30 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8666,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8667,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8666, 8665])).
% 7.49/5.30 tff(8668,plain,
% 7.49/5.30 ((~m_main_v_state(s128, c_ready)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128))),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8667, 60, 8664])).
% 7.49/5.30 tff(8669,plain,
% 7.49/5.30 (~m_main_v_state(s128, c_ready)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8668, 8660, 8637])).
% 7.49/5.30 tff(8670,plain,
% 7.49/5.30 (~m_main_v_state(s128, c_busy)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8603, 72, 8641])).
% 7.49/5.30 tff(8671,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8672,plain,
% 7.49/5.30 ((~![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))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8673,plain,
% 7.49/5.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s128, c_busy) | m_main_v_state(s128, c_ready)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8672, 8671])).
% 7.49/5.30 tff(8674,plain,
% 7.49/5.30 ($false),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8673, 89, 8670, 8669])).
% 7.49/5.30 tff(8675,plain,(~node4(s128)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.30 tff(8676,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8677,plain,
% 7.49/5.30 ((node4(s128) | (~until5(s128)) | xuntil6(s128)) <=> (xuntil6(s128) | node4(s128) | (~until5(s128)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8678,plain,
% 7.49/5.30 (((~![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))))),
% 7.49/5.30 inference(monotonicity,[status(thm)],[8677])).
% 7.49/5.30 tff(8679,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(transitivity,[status(thm)],[8678, 8676])).
% 7.49/5.30 tff(8680,plain,
% 7.49/5.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s128) | (~until5(s128)) | xuntil6(s128))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8681,plain,
% 7.49/5.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s128) | node4(s128) | (~until5(s128))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8680, 8679])).
% 7.49/5.30 tff(8682,plain,
% 7.49/5.30 (xuntil6(s128) | (~until5(s128))),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8681, 352, 8675])).
% 7.49/5.30 tff(8683,plain,
% 7.49/5.30 (xuntil6(s128)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8682, 8632])).
% 7.49/5.30 tff(8684,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8685,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8686,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 7.49/5.30 tff(8687,plain,
% 7.49/5.30 ((~xuntil6(s128)) | until5(s129)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8686, 8644, 370])).
% 7.49/5.30 tff(8688,plain,
% 7.49/5.30 (until5(s129)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8687, 8683])).
% 7.49/5.30 tff(8689,assumption,(node4(s129)), introduced(assumption)).
% 7.49/5.30 tff(8690,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8691,plain,
% 7.49/5.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s129) | (~node4(s129)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8692,plain,
% 7.49/5.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s129) | (~node4(s129))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8691, 8690])).
% 7.49/5.30 tff(8693,plain,
% 7.49/5.30 (m_main_v_request(s129)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8692, 28, 8689])).
% 7.49/5.30 tff(8694,plain,
% 7.49/5.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s129) | (~node4(s129)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s129) | (~node4(s129)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8695,plain,
% 7.49/5.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s129) | (~node4(s129)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8696,plain,
% 7.49/5.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s129) | (~node4(s129))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8695, 8694])).
% 7.49/5.30 tff(8697,plain,
% 7.49/5.30 (always3(s129)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8696, 16, 8689])).
% 7.49/5.30 tff(8698,plain,
% 7.49/5.30 (succ(s129, s130) <=> succ(s129, s130)),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8699,axiom,(succ(s129, s130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound130')).
% 7.49/5.30 tff(8700,plain,
% 7.49/5.30 (succ(s129, s130)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8699, 8698])).
% 7.49/5.30 tff(8701,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8702,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8703,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8702, 8701])).
% 7.49/5.30 tff(8704,plain,
% 7.49/5.30 (trans(s129, s130)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8703, 8700, 39])).
% 7.49/5.30 tff(8705,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8706,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s129, s130)) | (~always3(s129)) | always3(s130))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8707,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s129, s130)) | (~always3(s129)) | always3(s130)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8706, 8705])).
% 7.49/5.30 tff(8708,plain,
% 7.49/5.30 ((~always3(s129)) | always3(s130)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8707, 112, 8704])).
% 7.49/5.30 tff(8709,plain,
% 7.49/5.30 (always3(s130)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8708, 8697])).
% 7.49/5.30 tff(8710,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8711,plain,
% 7.49/5.30 (((~m_main_v_state(s130, c_busy)) | (~always3(s130))) <=> ((~always3(s130)) | (~m_main_v_state(s130, c_busy)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8712,plain,
% 7.49/5.30 (((~![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))))),
% 7.49/5.30 inference(monotonicity,[status(thm)],[8711])).
% 7.49/5.30 tff(8713,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(transitivity,[status(thm)],[8712, 8710])).
% 7.49/5.30 tff(8714,plain,
% 7.49/5.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s130, c_busy)) | (~always3(s130)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8715,plain,
% 7.49/5.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s130)) | (~m_main_v_state(s130, c_busy))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8714, 8713])).
% 7.49/5.30 tff(8716,plain,
% 7.49/5.30 (~m_main_v_state(s130, c_busy)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8715, 72, 8709])).
% 7.49/5.30 tff(8717,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8718,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s129, s130)) | node2(s129, s130))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8719,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s129, s130)) | node2(s129, s130)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8718, 8717])).
% 7.49/5.30 tff(8720,plain,
% 7.49/5.30 (node2(s129, s130)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8719, 7, 8704])).
% 7.49/5.30 tff(8721,plain,
% 7.49/5.30 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8722,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8723,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8722, 8721])).
% 7.49/5.30 tff(8724,plain,
% 7.49/5.30 ((~m_main_v_state(s129, c_ready)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129))),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8723, 60, 8720])).
% 7.49/5.30 tff(8725,plain,
% 7.49/5.30 (~m_main_v_state(s129, c_ready)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8724, 8716, 8693])).
% 7.49/5.30 tff(8726,plain,
% 7.49/5.30 (~m_main_v_state(s129, c_busy)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8659, 72, 8697])).
% 7.49/5.30 tff(8727,plain,
% 7.49/5.30 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s129, c_busy) | m_main_v_state(s129, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s129, c_busy) | m_main_v_state(s129, c_ready))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8728,plain,
% 7.49/5.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s129, c_busy) | m_main_v_state(s129, c_ready))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8729,plain,
% 7.49/5.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s129, c_busy) | m_main_v_state(s129, c_ready)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8728, 8727])).
% 7.49/5.30 tff(8730,plain,
% 7.49/5.30 ($false),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8729, 89, 8726, 8725])).
% 7.49/5.30 tff(8731,plain,(~node4(s129)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.30 tff(8732,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8733,plain,
% 7.49/5.30 ((node4(s129) | (~until5(s129)) | xuntil6(s129)) <=> (xuntil6(s129) | node4(s129) | (~until5(s129)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8734,plain,
% 7.49/5.30 (((~![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))))),
% 7.49/5.30 inference(monotonicity,[status(thm)],[8733])).
% 7.49/5.30 tff(8735,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(transitivity,[status(thm)],[8734, 8732])).
% 7.49/5.30 tff(8736,plain,
% 7.49/5.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s129) | (~until5(s129)) | xuntil6(s129))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8737,plain,
% 7.49/5.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s129) | node4(s129) | (~until5(s129))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8736, 8735])).
% 7.49/5.30 tff(8738,plain,
% 7.49/5.30 (xuntil6(s129) | (~until5(s129))),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8737, 352, 8731])).
% 7.49/5.30 tff(8739,plain,
% 7.49/5.30 (xuntil6(s129)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8738, 8688])).
% 7.49/5.30 tff(8740,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8741,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8742,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8741, 8740])).
% 7.49/5.30 tff(8743,plain,
% 7.49/5.30 ((~xuntil6(s129)) | until5(s130)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8742, 8700, 370])).
% 7.49/5.30 tff(8744,plain,
% 7.49/5.30 (until5(s130)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8743, 8739])).
% 7.49/5.30 tff(8745,assumption,(node4(s130)), introduced(assumption)).
% 7.49/5.30 tff(8746,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8747,plain,
% 7.49/5.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s130) | (~node4(s130)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8748,plain,
% 7.49/5.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s130) | (~node4(s130))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8747, 8746])).
% 7.49/5.30 tff(8749,plain,
% 7.49/5.30 (m_main_v_request(s130)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8748, 28, 8745])).
% 7.49/5.30 tff(8750,plain,
% 7.49/5.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s130) | (~node4(s130)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s130) | (~node4(s130)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8751,plain,
% 7.49/5.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s130) | (~node4(s130)))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8752,plain,
% 7.49/5.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s130) | (~node4(s130))),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8751, 8750])).
% 7.49/5.30 tff(8753,plain,
% 7.49/5.30 (always3(s130)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8752, 16, 8745])).
% 7.49/5.30 tff(8754,plain,
% 7.49/5.30 (succ(s130, s131) <=> succ(s130, s131)),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8755,axiom,(succ(s130, s131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound131')).
% 7.49/5.30 tff(8756,plain,
% 7.49/5.30 (succ(s130, s131)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8755, 8754])).
% 7.49/5.30 tff(8757,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8758,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8759,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8758, 8757])).
% 7.49/5.30 tff(8760,plain,
% 7.49/5.30 (trans(s130, s131)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8759, 8756, 39])).
% 7.49/5.30 tff(8761,plain,
% 7.49/5.30 (((~![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))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8762,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s130, s131)) | (~always3(s130)) | always3(s131))),
% 7.49/5.30 inference(quant_inst,[status(thm)],[])).
% 7.49/5.30 tff(8763,plain,
% 7.49/5.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s130, s131)) | (~always3(s130)) | always3(s131)),
% 7.49/5.30 inference(modus_ponens,[status(thm)],[8762, 8761])).
% 7.49/5.30 tff(8764,plain,
% 7.49/5.30 ((~always3(s130)) | always3(s131)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8763, 112, 8760])).
% 7.49/5.30 tff(8765,plain,
% 7.49/5.30 (always3(s131)),
% 7.49/5.30 inference(unit_resolution,[status(thm)],[8764, 8753])).
% 7.49/5.30 tff(8766,plain,
% 7.49/5.30 (((~![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)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8767,plain,
% 7.49/5.30 (((~m_main_v_state(s131, c_busy)) | (~always3(s131))) <=> ((~always3(s131)) | (~m_main_v_state(s131, c_busy)))),
% 7.49/5.30 inference(rewrite,[status(thm)],[])).
% 7.49/5.30 tff(8768,plain,
% 7.49/5.30 (((~![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))))),
% 7.49/5.31 inference(monotonicity,[status(thm)],[8767])).
% 7.49/5.31 tff(8769,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(transitivity,[status(thm)],[8768, 8766])).
% 7.49/5.31 tff(8770,plain,
% 7.49/5.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s131, c_busy)) | (~always3(s131)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8771,plain,
% 7.49/5.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s131)) | (~m_main_v_state(s131, c_busy))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8770, 8769])).
% 7.49/5.31 tff(8772,plain,
% 7.49/5.31 (~m_main_v_state(s131, c_busy)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8771, 72, 8765])).
% 7.49/5.31 tff(8773,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8774,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s130, s131)) | node2(s130, s131))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8775,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s130, s131)) | node2(s130, s131)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8774, 8773])).
% 7.49/5.31 tff(8776,plain,
% 7.49/5.31 (node2(s130, s131)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8775, 7, 8760])).
% 7.49/5.31 tff(8777,plain,
% 7.49/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8778,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8779,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8778, 8777])).
% 7.49/5.31 tff(8780,plain,
% 7.49/5.31 ((~m_main_v_state(s130, c_ready)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130))),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8779, 60, 8776])).
% 7.49/5.31 tff(8781,plain,
% 7.49/5.31 (~m_main_v_state(s130, c_ready)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8780, 8772, 8749])).
% 7.49/5.31 tff(8782,plain,
% 7.49/5.31 (~m_main_v_state(s130, c_busy)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8715, 72, 8753])).
% 7.49/5.31 tff(8783,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8784,plain,
% 7.49/5.31 ((~![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))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8785,plain,
% 7.49/5.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s130, c_busy) | m_main_v_state(s130, c_ready)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8784, 8783])).
% 7.49/5.31 tff(8786,plain,
% 7.49/5.31 ($false),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8785, 89, 8782, 8781])).
% 7.49/5.31 tff(8787,plain,(~node4(s130)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.31 tff(8788,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8789,plain,
% 7.49/5.31 ((node4(s130) | (~until5(s130)) | xuntil6(s130)) <=> (xuntil6(s130) | node4(s130) | (~until5(s130)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8790,plain,
% 7.49/5.31 (((~![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))))),
% 7.49/5.31 inference(monotonicity,[status(thm)],[8789])).
% 7.49/5.31 tff(8791,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(transitivity,[status(thm)],[8790, 8788])).
% 7.49/5.31 tff(8792,plain,
% 7.49/5.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s130) | (~until5(s130)) | xuntil6(s130))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8793,plain,
% 7.49/5.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s130) | node4(s130) | (~until5(s130))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8792, 8791])).
% 7.49/5.31 tff(8794,plain,
% 7.49/5.31 (xuntil6(s130) | (~until5(s130))),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8793, 352, 8787])).
% 7.49/5.31 tff(8795,plain,
% 7.49/5.31 (xuntil6(s130)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8794, 8744])).
% 7.49/5.31 tff(8796,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8797,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8798,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8797, 8796])).
% 7.49/5.31 tff(8799,plain,
% 7.49/5.31 ((~xuntil6(s130)) | until5(s131)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8798, 8756, 370])).
% 7.49/5.31 tff(8800,plain,
% 7.49/5.31 (until5(s131)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8799, 8795])).
% 7.49/5.31 tff(8801,assumption,(node4(s131)), introduced(assumption)).
% 7.49/5.31 tff(8802,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8803,plain,
% 7.49/5.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s131) | (~node4(s131)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8804,plain,
% 7.49/5.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s131) | (~node4(s131))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8803, 8802])).
% 7.49/5.31 tff(8805,plain,
% 7.49/5.31 (m_main_v_request(s131)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8804, 28, 8801])).
% 7.49/5.31 tff(8806,plain,
% 7.49/5.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s131) | (~node4(s131)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s131) | (~node4(s131)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8807,plain,
% 7.49/5.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s131) | (~node4(s131)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8808,plain,
% 7.49/5.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s131) | (~node4(s131))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8807, 8806])).
% 7.49/5.31 tff(8809,plain,
% 7.49/5.31 (always3(s131)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8808, 16, 8801])).
% 7.49/5.31 tff(8810,plain,
% 7.49/5.31 (succ(s131, s132) <=> succ(s131, s132)),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8811,axiom,(succ(s131, s132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound132')).
% 7.49/5.31 tff(8812,plain,
% 7.49/5.31 (succ(s131, s132)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8811, 8810])).
% 7.49/5.31 tff(8813,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8814,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8815,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8814, 8813])).
% 7.49/5.31 tff(8816,plain,
% 7.49/5.31 (trans(s131, s132)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8815, 8812, 39])).
% 7.49/5.31 tff(8817,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8818,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s131, s132)) | (~always3(s131)) | always3(s132))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8819,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s131, s132)) | (~always3(s131)) | always3(s132)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8818, 8817])).
% 7.49/5.31 tff(8820,plain,
% 7.49/5.31 ((~always3(s131)) | always3(s132)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8819, 112, 8816])).
% 7.49/5.31 tff(8821,plain,
% 7.49/5.31 (always3(s132)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8820, 8809])).
% 7.49/5.31 tff(8822,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8823,plain,
% 7.49/5.31 (((~m_main_v_state(s132, c_busy)) | (~always3(s132))) <=> ((~always3(s132)) | (~m_main_v_state(s132, c_busy)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8824,plain,
% 7.49/5.31 (((~![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))))),
% 7.49/5.31 inference(monotonicity,[status(thm)],[8823])).
% 7.49/5.31 tff(8825,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(transitivity,[status(thm)],[8824, 8822])).
% 7.49/5.31 tff(8826,plain,
% 7.49/5.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s132, c_busy)) | (~always3(s132)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8827,plain,
% 7.49/5.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s132)) | (~m_main_v_state(s132, c_busy))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8826, 8825])).
% 7.49/5.31 tff(8828,plain,
% 7.49/5.31 (~m_main_v_state(s132, c_busy)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8827, 72, 8821])).
% 7.49/5.31 tff(8829,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8830,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s131, s132)) | node2(s131, s132))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8831,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s131, s132)) | node2(s131, s132)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8830, 8829])).
% 7.49/5.31 tff(8832,plain,
% 7.49/5.31 (node2(s131, s132)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8831, 7, 8816])).
% 7.49/5.31 tff(8833,plain,
% 7.49/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8834,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8835,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8834, 8833])).
% 7.49/5.31 tff(8836,plain,
% 7.49/5.31 ((~m_main_v_state(s131, c_ready)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131))),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8835, 60, 8832])).
% 7.49/5.31 tff(8837,plain,
% 7.49/5.31 (~m_main_v_state(s131, c_ready)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8836, 8828, 8805])).
% 7.49/5.31 tff(8838,plain,
% 7.49/5.31 (~m_main_v_state(s131, c_busy)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8771, 72, 8809])).
% 7.49/5.31 tff(8839,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8840,plain,
% 7.49/5.31 ((~![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))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8841,plain,
% 7.49/5.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s131, c_busy) | m_main_v_state(s131, c_ready)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 7.49/5.31 tff(8842,plain,
% 7.49/5.31 ($false),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8841, 89, 8838, 8837])).
% 7.49/5.31 tff(8843,plain,(~node4(s131)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.31 tff(8844,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8845,plain,
% 7.49/5.31 ((node4(s131) | (~until5(s131)) | xuntil6(s131)) <=> (xuntil6(s131) | node4(s131) | (~until5(s131)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8846,plain,
% 7.49/5.31 (((~![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))))),
% 7.49/5.31 inference(monotonicity,[status(thm)],[8845])).
% 7.49/5.31 tff(8847,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(transitivity,[status(thm)],[8846, 8844])).
% 7.49/5.31 tff(8848,plain,
% 7.49/5.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s131) | (~until5(s131)) | xuntil6(s131))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8849,plain,
% 7.49/5.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s131) | node4(s131) | (~until5(s131))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8848, 8847])).
% 7.49/5.31 tff(8850,plain,
% 7.49/5.31 (xuntil6(s131) | (~until5(s131))),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8849, 352, 8843])).
% 7.49/5.31 tff(8851,plain,
% 7.49/5.31 (xuntil6(s131)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8850, 8800])).
% 7.49/5.31 tff(8852,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8853,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8854,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8853, 8852])).
% 7.49/5.31 tff(8855,plain,
% 7.49/5.31 ((~xuntil6(s131)) | until5(s132)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8854, 8812, 370])).
% 7.49/5.31 tff(8856,plain,
% 7.49/5.31 (until5(s132)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8855, 8851])).
% 7.49/5.31 tff(8857,assumption,(node4(s132)), introduced(assumption)).
% 7.49/5.31 tff(8858,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8859,plain,
% 7.49/5.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s132) | (~node4(s132)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8860,plain,
% 7.49/5.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s132) | (~node4(s132))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8859, 8858])).
% 7.49/5.31 tff(8861,plain,
% 7.49/5.31 (m_main_v_request(s132)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8860, 28, 8857])).
% 7.49/5.31 tff(8862,plain,
% 7.49/5.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s132) | (~node4(s132)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s132) | (~node4(s132)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8863,plain,
% 7.49/5.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s132) | (~node4(s132)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8864,plain,
% 7.49/5.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s132) | (~node4(s132))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8863, 8862])).
% 7.49/5.31 tff(8865,plain,
% 7.49/5.31 (always3(s132)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8864, 16, 8857])).
% 7.49/5.31 tff(8866,plain,
% 7.49/5.31 (succ(s132, s133) <=> succ(s132, s133)),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8867,axiom,(succ(s132, s133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound133')).
% 7.49/5.31 tff(8868,plain,
% 7.49/5.31 (succ(s132, s133)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8867, 8866])).
% 7.49/5.31 tff(8869,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8870,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8871,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8870, 8869])).
% 7.49/5.31 tff(8872,plain,
% 7.49/5.31 (trans(s132, s133)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8871, 8868, 39])).
% 7.49/5.31 tff(8873,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8874,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s132, s133)) | (~always3(s132)) | always3(s133))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8875,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s132, s133)) | (~always3(s132)) | always3(s133)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8874, 8873])).
% 7.49/5.31 tff(8876,plain,
% 7.49/5.31 ((~always3(s132)) | always3(s133)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8875, 112, 8872])).
% 7.49/5.31 tff(8877,plain,
% 7.49/5.31 (always3(s133)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8876, 8865])).
% 7.49/5.31 tff(8878,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8879,plain,
% 7.49/5.31 (((~m_main_v_state(s133, c_busy)) | (~always3(s133))) <=> ((~always3(s133)) | (~m_main_v_state(s133, c_busy)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8880,plain,
% 7.49/5.31 (((~![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))))),
% 7.49/5.31 inference(monotonicity,[status(thm)],[8879])).
% 7.49/5.31 tff(8881,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(transitivity,[status(thm)],[8880, 8878])).
% 7.49/5.31 tff(8882,plain,
% 7.49/5.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s133, c_busy)) | (~always3(s133)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8883,plain,
% 7.49/5.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s133)) | (~m_main_v_state(s133, c_busy))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8882, 8881])).
% 7.49/5.31 tff(8884,plain,
% 7.49/5.31 (~m_main_v_state(s133, c_busy)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8883, 72, 8877])).
% 7.49/5.31 tff(8885,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8886,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s132, s133)) | node2(s132, s133))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8887,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s132, s133)) | node2(s132, s133)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8886, 8885])).
% 7.49/5.31 tff(8888,plain,
% 7.49/5.31 (node2(s132, s133)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8887, 7, 8872])).
% 7.49/5.31 tff(8889,plain,
% 7.49/5.31 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8890,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8891,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8890, 8889])).
% 7.49/5.31 tff(8892,plain,
% 7.49/5.31 ((~m_main_v_state(s132, c_ready)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132))),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8891, 60, 8888])).
% 7.49/5.31 tff(8893,plain,
% 7.49/5.31 (~m_main_v_state(s132, c_ready)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8892, 8884, 8861])).
% 7.49/5.31 tff(8894,plain,
% 7.49/5.31 (~m_main_v_state(s132, c_busy)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8827, 72, 8865])).
% 7.49/5.31 tff(8895,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8896,plain,
% 7.49/5.31 ((~![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))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8897,plain,
% 7.49/5.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s132, c_busy) | m_main_v_state(s132, c_ready)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8896, 8895])).
% 7.49/5.31 tff(8898,plain,
% 7.49/5.31 ($false),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8897, 89, 8894, 8893])).
% 7.49/5.31 tff(8899,plain,(~node4(s132)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.31 tff(8900,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8901,plain,
% 7.49/5.31 ((node4(s132) | (~until5(s132)) | xuntil6(s132)) <=> (xuntil6(s132) | node4(s132) | (~until5(s132)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8902,plain,
% 7.49/5.31 (((~![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))))),
% 7.49/5.31 inference(monotonicity,[status(thm)],[8901])).
% 7.49/5.31 tff(8903,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(transitivity,[status(thm)],[8902, 8900])).
% 7.49/5.31 tff(8904,plain,
% 7.49/5.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s132) | (~until5(s132)) | xuntil6(s132))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8905,plain,
% 7.49/5.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s132) | node4(s132) | (~until5(s132))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8904, 8903])).
% 7.49/5.31 tff(8906,plain,
% 7.49/5.31 (xuntil6(s132) | (~until5(s132))),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8905, 352, 8899])).
% 7.49/5.31 tff(8907,plain,
% 7.49/5.31 (xuntil6(s132)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8906, 8856])).
% 7.49/5.31 tff(8908,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8909,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8910,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8909, 8908])).
% 7.49/5.31 tff(8911,plain,
% 7.49/5.31 ((~xuntil6(s132)) | until5(s133)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8910, 8868, 370])).
% 7.49/5.31 tff(8912,plain,
% 7.49/5.31 (until5(s133)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8911, 8907])).
% 7.49/5.31 tff(8913,assumption,(node4(s133)), introduced(assumption)).
% 7.49/5.31 tff(8914,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8915,plain,
% 7.49/5.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s133) | (~node4(s133)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8916,plain,
% 7.49/5.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s133) | (~node4(s133))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8915, 8914])).
% 7.49/5.31 tff(8917,plain,
% 7.49/5.31 (m_main_v_request(s133)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8916, 28, 8913])).
% 7.49/5.31 tff(8918,plain,
% 7.49/5.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s133) | (~node4(s133)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s133) | (~node4(s133)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8919,plain,
% 7.49/5.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s133) | (~node4(s133)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8920,plain,
% 7.49/5.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s133) | (~node4(s133))),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8919, 8918])).
% 7.49/5.31 tff(8921,plain,
% 7.49/5.31 (always3(s133)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8920, 16, 8913])).
% 7.49/5.31 tff(8922,plain,
% 7.49/5.31 (succ(s133, s134) <=> succ(s133, s134)),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8923,axiom,(succ(s133, s134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound134')).
% 7.49/5.31 tff(8924,plain,
% 7.49/5.31 (succ(s133, s134)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8923, 8922])).
% 7.49/5.31 tff(8925,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8926,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8927,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8926, 8925])).
% 7.49/5.31 tff(8928,plain,
% 7.49/5.31 (trans(s133, s134)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8927, 8924, 39])).
% 7.49/5.31 tff(8929,plain,
% 7.49/5.31 (((~![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))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8930,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s133, s134)) | (~always3(s133)) | always3(s134))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8931,plain,
% 7.49/5.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s133, s134)) | (~always3(s133)) | always3(s134)),
% 7.49/5.31 inference(modus_ponens,[status(thm)],[8930, 8929])).
% 7.49/5.31 tff(8932,plain,
% 7.49/5.31 ((~always3(s133)) | always3(s134)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8931, 112, 8928])).
% 7.49/5.31 tff(8933,plain,
% 7.49/5.31 (always3(s134)),
% 7.49/5.31 inference(unit_resolution,[status(thm)],[8932, 8921])).
% 7.49/5.31 tff(8934,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8935,plain,
% 7.49/5.31 (((~m_main_v_state(s134, c_busy)) | (~always3(s134))) <=> ((~always3(s134)) | (~m_main_v_state(s134, c_busy)))),
% 7.49/5.31 inference(rewrite,[status(thm)],[])).
% 7.49/5.31 tff(8936,plain,
% 7.49/5.31 (((~![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))))),
% 7.49/5.31 inference(monotonicity,[status(thm)],[8935])).
% 7.49/5.31 tff(8937,plain,
% 7.49/5.31 (((~![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)))),
% 7.49/5.31 inference(transitivity,[status(thm)],[8936, 8934])).
% 7.49/5.31 tff(8938,plain,
% 7.49/5.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s134, c_busy)) | (~always3(s134)))),
% 7.49/5.31 inference(quant_inst,[status(thm)],[])).
% 7.49/5.31 tff(8939,plain,
% 7.49/5.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s134)) | (~m_main_v_state(s134, c_busy))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8938, 8937])).
% 7.49/5.32 tff(8940,plain,
% 7.49/5.32 (~m_main_v_state(s134, c_busy)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8939, 72, 8933])).
% 7.49/5.32 tff(8941,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8942,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s133, s134)) | node2(s133, s134))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(8943,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s133, s134)) | node2(s133, s134)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8942, 8941])).
% 7.49/5.32 tff(8944,plain,
% 7.49/5.32 (node2(s133, s134)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8943, 7, 8928])).
% 7.49/5.32 tff(8945,plain,
% 7.49/5.32 (((~![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(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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8946,plain,
% 7.49/5.32 ((~![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(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(8947,plain,
% 7.49/5.32 ((~![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(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8946, 8945])).
% 7.49/5.32 tff(8948,plain,
% 7.49/5.32 ((~m_main_v_state(s133, c_ready)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133))),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8947, 60, 8944])).
% 7.49/5.32 tff(8949,plain,
% 7.49/5.32 (~m_main_v_state(s133, c_ready)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8948, 8940, 8917])).
% 7.49/5.32 tff(8950,plain,
% 7.49/5.32 (~m_main_v_state(s133, c_busy)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8883, 72, 8921])).
% 7.49/5.32 tff(8951,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8952,plain,
% 7.49/5.32 ((~![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))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(8953,plain,
% 7.49/5.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s133, c_busy) | m_main_v_state(s133, c_ready)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8952, 8951])).
% 7.49/5.32 tff(8954,plain,
% 7.49/5.32 ($false),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8953, 89, 8950, 8949])).
% 7.49/5.32 tff(8955,plain,(~node4(s133)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.32 tff(8956,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8957,plain,
% 7.49/5.32 ((node4(s133) | (~until5(s133)) | xuntil6(s133)) <=> (xuntil6(s133) | node4(s133) | (~until5(s133)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8958,plain,
% 7.49/5.32 (((~![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))))),
% 7.49/5.32 inference(monotonicity,[status(thm)],[8957])).
% 7.49/5.32 tff(8959,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(transitivity,[status(thm)],[8958, 8956])).
% 7.49/5.32 tff(8960,plain,
% 7.49/5.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s133) | (~until5(s133)) | xuntil6(s133))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(8961,plain,
% 7.49/5.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s133) | node4(s133) | (~until5(s133))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 7.49/5.32 tff(8962,plain,
% 7.49/5.32 (xuntil6(s133) | (~until5(s133))),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8961, 352, 8955])).
% 7.49/5.32 tff(8963,plain,
% 7.49/5.32 (xuntil6(s133)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8962, 8912])).
% 7.49/5.32 tff(8964,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8965,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(8966,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8965, 8964])).
% 7.49/5.32 tff(8967,plain,
% 7.49/5.32 ((~xuntil6(s133)) | until5(s134)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8966, 8924, 370])).
% 7.49/5.32 tff(8968,plain,
% 7.49/5.32 (until5(s134)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8967, 8963])).
% 7.49/5.32 tff(8969,assumption,(node4(s134)), introduced(assumption)).
% 7.49/5.32 tff(8970,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8971,plain,
% 7.49/5.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s134) | (~node4(s134)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(8972,plain,
% 7.49/5.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s134) | (~node4(s134))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8971, 8970])).
% 7.49/5.32 tff(8973,plain,
% 7.49/5.32 (m_main_v_request(s134)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8972, 28, 8969])).
% 7.49/5.32 tff(8974,plain,
% 7.49/5.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s134) | (~node4(s134)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s134) | (~node4(s134)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8975,plain,
% 7.49/5.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s134) | (~node4(s134)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(8976,plain,
% 7.49/5.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s134) | (~node4(s134))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8975, 8974])).
% 7.49/5.32 tff(8977,plain,
% 7.49/5.32 (always3(s134)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8976, 16, 8969])).
% 7.49/5.32 tff(8978,plain,
% 7.49/5.32 (succ(s134, s135) <=> succ(s134, s135)),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8979,axiom,(succ(s134, s135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound135')).
% 7.49/5.32 tff(8980,plain,
% 7.49/5.32 (succ(s134, s135)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8979, 8978])).
% 7.49/5.32 tff(8981,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8982,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(8983,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8982, 8981])).
% 7.49/5.32 tff(8984,plain,
% 7.49/5.32 (trans(s134, s135)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8983, 8980, 39])).
% 7.49/5.32 tff(8985,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8986,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s134, s135)) | (~always3(s134)) | always3(s135))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(8987,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s134, s135)) | (~always3(s134)) | always3(s135)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8986, 8985])).
% 7.49/5.32 tff(8988,plain,
% 7.49/5.32 ((~always3(s134)) | always3(s135)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8987, 112, 8984])).
% 7.49/5.32 tff(8989,plain,
% 7.49/5.32 (always3(s135)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8988, 8977])).
% 7.49/5.32 tff(8990,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8991,plain,
% 7.49/5.32 (((~m_main_v_state(s135, c_busy)) | (~always3(s135))) <=> ((~always3(s135)) | (~m_main_v_state(s135, c_busy)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8992,plain,
% 7.49/5.32 (((~![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))))),
% 7.49/5.32 inference(monotonicity,[status(thm)],[8991])).
% 7.49/5.32 tff(8993,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(transitivity,[status(thm)],[8992, 8990])).
% 7.49/5.32 tff(8994,plain,
% 7.49/5.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s135, c_busy)) | (~always3(s135)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(8995,plain,
% 7.49/5.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s135)) | (~m_main_v_state(s135, c_busy))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8994, 8993])).
% 7.49/5.32 tff(8996,plain,
% 7.49/5.32 (~m_main_v_state(s135, c_busy)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8995, 72, 8989])).
% 7.49/5.32 tff(8997,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(8998,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s134, s135)) | node2(s134, s135))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(8999,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s134, s135)) | node2(s134, s135)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[8998, 8997])).
% 7.49/5.32 tff(9000,plain,
% 7.49/5.32 (node2(s134, s135)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8999, 7, 8984])).
% 7.49/5.32 tff(9001,plain,
% 7.49/5.32 (((~![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(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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9002,plain,
% 7.49/5.32 ((~![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(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9003,plain,
% 7.49/5.32 ((~![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(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9002, 9001])).
% 7.49/5.32 tff(9004,plain,
% 7.49/5.32 ((~m_main_v_state(s134, c_ready)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134))),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9003, 60, 9000])).
% 7.49/5.32 tff(9005,plain,
% 7.49/5.32 (~m_main_v_state(s134, c_ready)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9004, 8996, 8973])).
% 7.49/5.32 tff(9006,plain,
% 7.49/5.32 (~m_main_v_state(s134, c_busy)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8939, 72, 8977])).
% 7.49/5.32 tff(9007,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9008,plain,
% 7.49/5.32 ((~![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))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9009,plain,
% 7.49/5.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s134, c_busy) | m_main_v_state(s134, c_ready)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9008, 9007])).
% 7.49/5.32 tff(9010,plain,
% 7.49/5.32 ($false),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9009, 89, 9006, 9005])).
% 7.49/5.32 tff(9011,plain,(~node4(s134)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.32 tff(9012,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9013,plain,
% 7.49/5.32 ((node4(s134) | (~until5(s134)) | xuntil6(s134)) <=> (xuntil6(s134) | node4(s134) | (~until5(s134)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9014,plain,
% 7.49/5.32 (((~![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))))),
% 7.49/5.32 inference(monotonicity,[status(thm)],[9013])).
% 7.49/5.32 tff(9015,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(transitivity,[status(thm)],[9014, 9012])).
% 7.49/5.32 tff(9016,plain,
% 7.49/5.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s134) | (~until5(s134)) | xuntil6(s134))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9017,plain,
% 7.49/5.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s134) | node4(s134) | (~until5(s134))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9016, 9015])).
% 7.49/5.32 tff(9018,plain,
% 7.49/5.32 (xuntil6(s134) | (~until5(s134))),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9017, 352, 9011])).
% 7.49/5.32 tff(9019,plain,
% 7.49/5.32 (xuntil6(s134)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9018, 8968])).
% 7.49/5.32 tff(9020,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9021,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9022,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9021, 9020])).
% 7.49/5.32 tff(9023,plain,
% 7.49/5.32 ((~xuntil6(s134)) | until5(s135)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9022, 8980, 370])).
% 7.49/5.32 tff(9024,plain,
% 7.49/5.32 (until5(s135)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9023, 9019])).
% 7.49/5.32 tff(9025,assumption,(node4(s135)), introduced(assumption)).
% 7.49/5.32 tff(9026,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9027,plain,
% 7.49/5.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s135) | (~node4(s135)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9028,plain,
% 7.49/5.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s135) | (~node4(s135))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9027, 9026])).
% 7.49/5.32 tff(9029,plain,
% 7.49/5.32 (m_main_v_request(s135)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9028, 28, 9025])).
% 7.49/5.32 tff(9030,plain,
% 7.49/5.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s135) | (~node4(s135)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s135) | (~node4(s135)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9031,plain,
% 7.49/5.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s135) | (~node4(s135)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9032,plain,
% 7.49/5.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s135) | (~node4(s135))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9031, 9030])).
% 7.49/5.32 tff(9033,plain,
% 7.49/5.32 (always3(s135)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9032, 16, 9025])).
% 7.49/5.32 tff(9034,plain,
% 7.49/5.32 (succ(s135, s136) <=> succ(s135, s136)),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9035,axiom,(succ(s135, s136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound136')).
% 7.49/5.32 tff(9036,plain,
% 7.49/5.32 (succ(s135, s136)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9035, 9034])).
% 7.49/5.32 tff(9037,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9038,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9039,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 7.49/5.32 tff(9040,plain,
% 7.49/5.32 (trans(s135, s136)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9039, 9036, 39])).
% 7.49/5.32 tff(9041,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9042,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s135, s136)) | (~always3(s135)) | always3(s136))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9043,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s135, s136)) | (~always3(s135)) | always3(s136)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9042, 9041])).
% 7.49/5.32 tff(9044,plain,
% 7.49/5.32 ((~always3(s135)) | always3(s136)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9043, 112, 9040])).
% 7.49/5.32 tff(9045,plain,
% 7.49/5.32 (always3(s136)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9044, 9033])).
% 7.49/5.32 tff(9046,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9047,plain,
% 7.49/5.32 (((~m_main_v_state(s136, c_busy)) | (~always3(s136))) <=> ((~always3(s136)) | (~m_main_v_state(s136, c_busy)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9048,plain,
% 7.49/5.32 (((~![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))))),
% 7.49/5.32 inference(monotonicity,[status(thm)],[9047])).
% 7.49/5.32 tff(9049,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(transitivity,[status(thm)],[9048, 9046])).
% 7.49/5.32 tff(9050,plain,
% 7.49/5.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s136, c_busy)) | (~always3(s136)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9051,plain,
% 7.49/5.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s136)) | (~m_main_v_state(s136, c_busy))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9050, 9049])).
% 7.49/5.32 tff(9052,plain,
% 7.49/5.32 (~m_main_v_state(s136, c_busy)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9051, 72, 9045])).
% 7.49/5.32 tff(9053,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9054,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s135, s136)) | node2(s135, s136))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9055,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s135, s136)) | node2(s135, s136)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9054, 9053])).
% 7.49/5.32 tff(9056,plain,
% 7.49/5.32 (node2(s135, s136)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9055, 7, 9040])).
% 7.49/5.32 tff(9057,plain,
% 7.49/5.32 (((~![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(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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9058,plain,
% 7.49/5.32 ((~![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(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9059,plain,
% 7.49/5.32 ((~![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(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9058, 9057])).
% 7.49/5.32 tff(9060,plain,
% 7.49/5.32 ((~m_main_v_state(s135, c_ready)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135))),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9059, 60, 9056])).
% 7.49/5.32 tff(9061,plain,
% 7.49/5.32 (~m_main_v_state(s135, c_ready)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9060, 9052, 9029])).
% 7.49/5.32 tff(9062,plain,
% 7.49/5.32 (~m_main_v_state(s135, c_busy)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[8995, 72, 9033])).
% 7.49/5.32 tff(9063,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9064,plain,
% 7.49/5.32 ((~![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))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9065,plain,
% 7.49/5.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s135, c_busy) | m_main_v_state(s135, c_ready)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9064, 9063])).
% 7.49/5.32 tff(9066,plain,
% 7.49/5.32 ($false),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9065, 89, 9062, 9061])).
% 7.49/5.32 tff(9067,plain,(~node4(s135)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.32 tff(9068,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9069,plain,
% 7.49/5.32 ((node4(s135) | (~until5(s135)) | xuntil6(s135)) <=> (xuntil6(s135) | node4(s135) | (~until5(s135)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9070,plain,
% 7.49/5.32 (((~![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))))),
% 7.49/5.32 inference(monotonicity,[status(thm)],[9069])).
% 7.49/5.32 tff(9071,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(transitivity,[status(thm)],[9070, 9068])).
% 7.49/5.32 tff(9072,plain,
% 7.49/5.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s135) | (~until5(s135)) | xuntil6(s135))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9073,plain,
% 7.49/5.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s135) | node4(s135) | (~until5(s135))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9072, 9071])).
% 7.49/5.32 tff(9074,plain,
% 7.49/5.32 (xuntil6(s135) | (~until5(s135))),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9073, 352, 9067])).
% 7.49/5.32 tff(9075,plain,
% 7.49/5.32 (xuntil6(s135)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9074, 9024])).
% 7.49/5.32 tff(9076,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9077,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9078,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9077, 9076])).
% 7.49/5.32 tff(9079,plain,
% 7.49/5.32 ((~xuntil6(s135)) | until5(s136)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9078, 9036, 370])).
% 7.49/5.32 tff(9080,plain,
% 7.49/5.32 (until5(s136)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9079, 9075])).
% 7.49/5.32 tff(9081,assumption,(node4(s136)), introduced(assumption)).
% 7.49/5.32 tff(9082,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9083,plain,
% 7.49/5.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s136) | (~node4(s136)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9084,plain,
% 7.49/5.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s136) | (~node4(s136))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9083, 9082])).
% 7.49/5.32 tff(9085,plain,
% 7.49/5.32 (m_main_v_request(s136)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9084, 28, 9081])).
% 7.49/5.32 tff(9086,plain,
% 7.49/5.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s136) | (~node4(s136)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s136) | (~node4(s136)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9087,plain,
% 7.49/5.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s136) | (~node4(s136)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9088,plain,
% 7.49/5.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s136) | (~node4(s136))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 7.49/5.32 tff(9089,plain,
% 7.49/5.32 (always3(s136)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9088, 16, 9081])).
% 7.49/5.32 tff(9090,plain,
% 7.49/5.32 (succ(s136, s137) <=> succ(s136, s137)),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9091,axiom,(succ(s136, s137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound137')).
% 7.49/5.32 tff(9092,plain,
% 7.49/5.32 (succ(s136, s137)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 7.49/5.32 tff(9093,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9094,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9095,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9094, 9093])).
% 7.49/5.32 tff(9096,plain,
% 7.49/5.32 (trans(s136, s137)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9095, 9092, 39])).
% 7.49/5.32 tff(9097,plain,
% 7.49/5.32 (((~![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))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9098,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s136, s137)) | (~always3(s136)) | always3(s137))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9099,plain,
% 7.49/5.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s136, s137)) | (~always3(s136)) | always3(s137)),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 7.49/5.32 tff(9100,plain,
% 7.49/5.32 ((~always3(s136)) | always3(s137)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9099, 112, 9096])).
% 7.49/5.32 tff(9101,plain,
% 7.49/5.32 (always3(s137)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9100, 9089])).
% 7.49/5.32 tff(9102,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9103,plain,
% 7.49/5.32 (((~m_main_v_state(s137, c_busy)) | (~always3(s137))) <=> ((~always3(s137)) | (~m_main_v_state(s137, c_busy)))),
% 7.49/5.32 inference(rewrite,[status(thm)],[])).
% 7.49/5.32 tff(9104,plain,
% 7.49/5.32 (((~![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))))),
% 7.49/5.32 inference(monotonicity,[status(thm)],[9103])).
% 7.49/5.32 tff(9105,plain,
% 7.49/5.32 (((~![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)))),
% 7.49/5.32 inference(transitivity,[status(thm)],[9104, 9102])).
% 7.49/5.32 tff(9106,plain,
% 7.49/5.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s137, c_busy)) | (~always3(s137)))),
% 7.49/5.32 inference(quant_inst,[status(thm)],[])).
% 7.49/5.32 tff(9107,plain,
% 7.49/5.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s137)) | (~m_main_v_state(s137, c_busy))),
% 7.49/5.32 inference(modus_ponens,[status(thm)],[9106, 9105])).
% 7.49/5.32 tff(9108,plain,
% 7.49/5.32 (~m_main_v_state(s137, c_busy)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9107, 72, 9101])).
% 7.49/5.32 tff(9109,assumption,(~node1(s135)), introduced(assumption)).
% 7.49/5.32 tff(9110,plain,
% 7.49/5.32 (~m_main_v_state(s136, c_busy)),
% 7.49/5.32 inference(unit_resolution,[status(thm)],[9051, 72, 9089])).
% 7.49/5.32 tff(9111,plain,
% 7.49/5.32 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, 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(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9112,plain,
% 7.49/5.33 ((node1(s135) | m_main_v_state(s136, c_ready) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy)) <=> ((~node2(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9113,plain,
% 7.49/5.33 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s135) | m_main_v_state(s136, c_ready) | (~node2(s135, s136)) | m_main_v_state(s136, 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(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready)))),
% 7.49/5.33 inference(monotonicity,[status(thm)],[9112])).
% 7.49/5.33 tff(9114,plain,
% 7.49/5.33 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s135) | m_main_v_state(s136, c_ready) | (~node2(s135, s136)) | m_main_v_state(s136, 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(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready))),
% 7.49/5.33 inference(transitivity,[status(thm)],[9113, 9111])).
% 7.49/5.33 tff(9115,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s135) | m_main_v_state(s136, c_ready) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9116,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9115, 9114])).
% 7.49/5.33 tff(9117,plain,
% 7.49/5.33 (m_main_v_state(s136, c_busy) | node1(s135) | m_main_v_state(s136, c_ready)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9116, 566, 9056])).
% 7.49/5.33 tff(9118,plain,
% 7.49/5.33 (m_main_v_state(s136, c_ready)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9117, 9110, 9109])).
% 7.49/5.33 tff(9119,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9120,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s136, s137)) | node2(s136, s137))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9121,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s136, s137)) | node2(s136, s137)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9120, 9119])).
% 7.49/5.33 tff(9122,plain,
% 7.49/5.33 (node2(s136, s137)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9121, 7, 9096])).
% 7.49/5.33 tff(9123,plain,
% 7.49/5.33 (((~![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(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)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9124,plain,
% 7.49/5.33 ((~![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(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9125,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9124, 9123])).
% 7.49/5.33 tff(9126,plain,
% 7.49/5.33 ((~m_main_v_state(s136, c_ready)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136))),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9125, 60, 9122])).
% 7.49/5.33 tff(9127,plain,
% 7.49/5.33 ($false),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9126, 9118, 9108, 9085])).
% 7.49/5.33 tff(9128,plain,((~node4(s136)) | node1(s135)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.33 tff(9129,plain,
% 7.49/5.33 (node1(s135)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9128, 9081])).
% 7.49/5.33 tff(9130,plain,
% 7.49/5.33 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s135, c_ready) | (~node1(s135)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s135, c_ready) | (~node1(s135)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9131,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s135, c_ready) | (~node1(s135)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9132,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s135, c_ready) | (~node1(s135))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9131, 9130])).
% 7.49/5.33 tff(9133,plain,
% 7.49/5.33 (m_main_v_state(s135, c_ready)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9132, 7766, 9129])).
% 7.49/5.33 tff(9134,plain,
% 7.49/5.33 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s135) | (~node1(s135)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s135) | (~node1(s135)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9135,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s135) | (~node1(s135)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9136,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s135) | (~node1(s135))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9135, 9134])).
% 7.49/5.33 tff(9137,plain,
% 7.49/5.33 (m_main_v_request(s135)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9136, 589, 9129])).
% 7.49/5.33 tff(9138,plain,
% 7.49/5.33 (m_main_v_state(s136, c_busy)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9060, 9137, 9133])).
% 7.49/5.33 tff(9139,plain,
% 7.49/5.33 ($false),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9051, 72, 9089, 9138])).
% 7.49/5.33 tff(9140,plain,(~node4(s136)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.33 tff(9141,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9142,plain,
% 7.49/5.33 ((node4(s136) | (~until5(s136)) | xuntil6(s136)) <=> (xuntil6(s136) | node4(s136) | (~until5(s136)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9143,plain,
% 7.49/5.33 (((~![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))))),
% 7.49/5.33 inference(monotonicity,[status(thm)],[9142])).
% 7.49/5.33 tff(9144,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(transitivity,[status(thm)],[9143, 9141])).
% 7.49/5.33 tff(9145,plain,
% 7.49/5.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s136) | (~until5(s136)) | xuntil6(s136))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9146,plain,
% 7.49/5.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s136) | node4(s136) | (~until5(s136))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9145, 9144])).
% 7.49/5.33 tff(9147,plain,
% 7.49/5.33 (xuntil6(s136) | (~until5(s136))),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9146, 352, 9140])).
% 7.49/5.33 tff(9148,plain,
% 7.49/5.33 (xuntil6(s136)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9147, 9080])).
% 7.49/5.33 tff(9149,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9150,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9151,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 7.49/5.33 tff(9152,plain,
% 7.49/5.33 ((~xuntil6(s136)) | until5(s137)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9151, 9092, 370])).
% 7.49/5.33 tff(9153,plain,
% 7.49/5.33 (until5(s137)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9152, 9148])).
% 7.49/5.33 tff(9154,assumption,(node4(s137)), introduced(assumption)).
% 7.49/5.33 tff(9155,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9156,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s137) | (~node4(s137)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9157,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s137) | (~node4(s137))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9156, 9155])).
% 7.49/5.33 tff(9158,plain,
% 7.49/5.33 (m_main_v_request(s137)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9157, 28, 9154])).
% 7.49/5.33 tff(9159,plain,
% 7.49/5.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s137) | (~node4(s137)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s137) | (~node4(s137)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9160,plain,
% 7.49/5.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s137) | (~node4(s137)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9161,plain,
% 7.49/5.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s137) | (~node4(s137))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9160, 9159])).
% 7.49/5.33 tff(9162,plain,
% 7.49/5.33 (always3(s137)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9161, 16, 9154])).
% 7.49/5.33 tff(9163,plain,
% 7.49/5.33 (succ(s137, s138) <=> succ(s137, s138)),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9164,axiom,(succ(s137, s138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound138')).
% 7.49/5.33 tff(9165,plain,
% 7.49/5.33 (succ(s137, s138)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9164, 9163])).
% 7.49/5.33 tff(9166,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9167,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9168,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9167, 9166])).
% 7.49/5.33 tff(9169,plain,
% 7.49/5.33 (trans(s137, s138)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9168, 9165, 39])).
% 7.49/5.33 tff(9170,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9171,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s137, s138)) | (~always3(s137)) | always3(s138))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9172,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s137, s138)) | (~always3(s137)) | always3(s138)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9171, 9170])).
% 7.49/5.33 tff(9173,plain,
% 7.49/5.33 ((~always3(s137)) | always3(s138)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9172, 112, 9169])).
% 7.49/5.33 tff(9174,plain,
% 7.49/5.33 (always3(s138)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9173, 9162])).
% 7.49/5.33 tff(9175,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9176,plain,
% 7.49/5.33 (((~m_main_v_state(s138, c_busy)) | (~always3(s138))) <=> ((~always3(s138)) | (~m_main_v_state(s138, c_busy)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9177,plain,
% 7.49/5.33 (((~![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))))),
% 7.49/5.33 inference(monotonicity,[status(thm)],[9176])).
% 7.49/5.33 tff(9178,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(transitivity,[status(thm)],[9177, 9175])).
% 7.49/5.33 tff(9179,plain,
% 7.49/5.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s138, c_busy)) | (~always3(s138)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9180,plain,
% 7.49/5.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s138)) | (~m_main_v_state(s138, c_busy))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9179, 9178])).
% 7.49/5.33 tff(9181,plain,
% 7.49/5.33 (~m_main_v_state(s138, c_busy)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9180, 72, 9174])).
% 7.49/5.33 tff(9182,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9183,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s137, s138)) | node2(s137, s138))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9184,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s137, s138)) | node2(s137, s138)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9183, 9182])).
% 7.49/5.33 tff(9185,plain,
% 7.49/5.33 (node2(s137, s138)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9184, 7, 9169])).
% 7.49/5.33 tff(9186,plain,
% 7.49/5.33 (((~![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(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)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9187,plain,
% 7.49/5.33 ((~![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(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9188,plain,
% 7.49/5.33 ((~![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(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9187, 9186])).
% 7.49/5.33 tff(9189,plain,
% 7.49/5.33 ((~m_main_v_state(s137, c_ready)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137))),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9188, 60, 9185])).
% 7.49/5.33 tff(9190,plain,
% 7.49/5.33 (~m_main_v_state(s137, c_ready)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9189, 9181, 9158])).
% 7.49/5.33 tff(9191,plain,
% 7.49/5.33 (~m_main_v_state(s137, c_busy)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9107, 72, 9162])).
% 7.49/5.33 tff(9192,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9193,plain,
% 7.49/5.33 ((~![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))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9194,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s137, c_busy) | m_main_v_state(s137, c_ready)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9193, 9192])).
% 7.49/5.33 tff(9195,plain,
% 7.49/5.33 ($false),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9194, 89, 9191, 9190])).
% 7.49/5.33 tff(9196,plain,(~node4(s137)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.33 tff(9197,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9198,plain,
% 7.49/5.33 ((node4(s137) | (~until5(s137)) | xuntil6(s137)) <=> (xuntil6(s137) | node4(s137) | (~until5(s137)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9199,plain,
% 7.49/5.33 (((~![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))))),
% 7.49/5.33 inference(monotonicity,[status(thm)],[9198])).
% 7.49/5.33 tff(9200,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(transitivity,[status(thm)],[9199, 9197])).
% 7.49/5.33 tff(9201,plain,
% 7.49/5.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s137) | (~until5(s137)) | xuntil6(s137))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9202,plain,
% 7.49/5.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s137) | node4(s137) | (~until5(s137))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9201, 9200])).
% 7.49/5.33 tff(9203,plain,
% 7.49/5.33 (xuntil6(s137) | (~until5(s137))),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9202, 352, 9196])).
% 7.49/5.33 tff(9204,plain,
% 7.49/5.33 (xuntil6(s137)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9203, 9153])).
% 7.49/5.33 tff(9205,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9206,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9207,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9206, 9205])).
% 7.49/5.33 tff(9208,plain,
% 7.49/5.33 ((~xuntil6(s137)) | until5(s138)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9207, 9165, 370])).
% 7.49/5.33 tff(9209,plain,
% 7.49/5.33 (until5(s138)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9208, 9204])).
% 7.49/5.33 tff(9210,assumption,(node4(s138)), introduced(assumption)).
% 7.49/5.33 tff(9211,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9212,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s138) | (~node4(s138)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9213,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s138) | (~node4(s138))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9212, 9211])).
% 7.49/5.33 tff(9214,plain,
% 7.49/5.33 (m_main_v_request(s138)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9213, 28, 9210])).
% 7.49/5.33 tff(9215,plain,
% 7.49/5.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s138) | (~node4(s138)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s138) | (~node4(s138)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9216,plain,
% 7.49/5.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s138) | (~node4(s138)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9217,plain,
% 7.49/5.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s138) | (~node4(s138))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9216, 9215])).
% 7.49/5.33 tff(9218,plain,
% 7.49/5.33 (always3(s138)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9217, 16, 9210])).
% 7.49/5.33 tff(9219,plain,
% 7.49/5.33 (succ(s138, s139) <=> succ(s138, s139)),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9220,axiom,(succ(s138, s139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound139')).
% 7.49/5.33 tff(9221,plain,
% 7.49/5.33 (succ(s138, s139)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9220, 9219])).
% 7.49/5.33 tff(9222,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9223,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9224,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9223, 9222])).
% 7.49/5.33 tff(9225,plain,
% 7.49/5.33 (trans(s138, s139)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9224, 9221, 39])).
% 7.49/5.33 tff(9226,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9227,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s138, s139)) | (~always3(s138)) | always3(s139))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9228,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s138, s139)) | (~always3(s138)) | always3(s139)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9227, 9226])).
% 7.49/5.33 tff(9229,plain,
% 7.49/5.33 ((~always3(s138)) | always3(s139)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9228, 112, 9225])).
% 7.49/5.33 tff(9230,plain,
% 7.49/5.33 (always3(s139)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9229, 9218])).
% 7.49/5.33 tff(9231,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9232,plain,
% 7.49/5.33 (((~m_main_v_state(s139, c_busy)) | (~always3(s139))) <=> ((~always3(s139)) | (~m_main_v_state(s139, c_busy)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9233,plain,
% 7.49/5.33 (((~![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))))),
% 7.49/5.33 inference(monotonicity,[status(thm)],[9232])).
% 7.49/5.33 tff(9234,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(transitivity,[status(thm)],[9233, 9231])).
% 7.49/5.33 tff(9235,plain,
% 7.49/5.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s139, c_busy)) | (~always3(s139)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9236,plain,
% 7.49/5.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s139)) | (~m_main_v_state(s139, c_busy))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9235, 9234])).
% 7.49/5.33 tff(9237,plain,
% 7.49/5.33 (~m_main_v_state(s139, c_busy)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9236, 72, 9230])).
% 7.49/5.33 tff(9238,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9239,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s138, s139)) | node2(s138, s139))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9240,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s138, s139)) | node2(s138, s139)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9239, 9238])).
% 7.49/5.33 tff(9241,plain,
% 7.49/5.33 (node2(s138, s139)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9240, 7, 9225])).
% 7.49/5.33 tff(9242,plain,
% 7.49/5.33 (((~![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(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)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9243,plain,
% 7.49/5.33 ((~![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(s138, c_ready)) | (~node2(s138, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9244,plain,
% 7.49/5.33 ((~![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(s138, c_ready)) | (~node2(s138, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9243, 9242])).
% 7.49/5.33 tff(9245,plain,
% 7.49/5.33 ((~m_main_v_state(s138, c_ready)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138))),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9244, 60, 9241])).
% 7.49/5.33 tff(9246,plain,
% 7.49/5.33 (~m_main_v_state(s138, c_ready)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9245, 9237, 9214])).
% 7.49/5.33 tff(9247,plain,
% 7.49/5.33 (~m_main_v_state(s138, c_busy)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9180, 72, 9218])).
% 7.49/5.33 tff(9248,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9249,plain,
% 7.49/5.33 ((~![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))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9250,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s138, c_busy) | m_main_v_state(s138, c_ready)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9249, 9248])).
% 7.49/5.33 tff(9251,plain,
% 7.49/5.33 ($false),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9250, 89, 9247, 9246])).
% 7.49/5.33 tff(9252,plain,(~node4(s138)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.33 tff(9253,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9254,plain,
% 7.49/5.33 ((node4(s138) | (~until5(s138)) | xuntil6(s138)) <=> (xuntil6(s138) | node4(s138) | (~until5(s138)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9255,plain,
% 7.49/5.33 (((~![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))))),
% 7.49/5.33 inference(monotonicity,[status(thm)],[9254])).
% 7.49/5.33 tff(9256,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(transitivity,[status(thm)],[9255, 9253])).
% 7.49/5.33 tff(9257,plain,
% 7.49/5.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s138) | (~until5(s138)) | xuntil6(s138))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9258,plain,
% 7.49/5.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s138) | node4(s138) | (~until5(s138))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9257, 9256])).
% 7.49/5.33 tff(9259,plain,
% 7.49/5.33 (xuntil6(s138) | (~until5(s138))),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9258, 352, 9252])).
% 7.49/5.33 tff(9260,plain,
% 7.49/5.33 (xuntil6(s138)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9259, 9209])).
% 7.49/5.33 tff(9261,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9262,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9263,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9262, 9261])).
% 7.49/5.33 tff(9264,plain,
% 7.49/5.33 ((~xuntil6(s138)) | until5(s139)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9263, 9221, 370])).
% 7.49/5.33 tff(9265,plain,
% 7.49/5.33 (until5(s139)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9264, 9260])).
% 7.49/5.33 tff(9266,assumption,(node4(s139)), introduced(assumption)).
% 7.49/5.33 tff(9267,plain,
% 7.49/5.33 (((~![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)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9268,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s139) | (~node4(s139)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9269,plain,
% 7.49/5.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s139) | (~node4(s139))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9268, 9267])).
% 7.49/5.33 tff(9270,plain,
% 7.49/5.33 (m_main_v_request(s139)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9269, 28, 9266])).
% 7.49/5.33 tff(9271,plain,
% 7.49/5.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s139) | (~node4(s139)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s139) | (~node4(s139)))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9272,plain,
% 7.49/5.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s139) | (~node4(s139)))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9273,plain,
% 7.49/5.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s139) | (~node4(s139))),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9272, 9271])).
% 7.49/5.33 tff(9274,plain,
% 7.49/5.33 (always3(s139)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9273, 16, 9266])).
% 7.49/5.33 tff(9275,plain,
% 7.49/5.33 (succ(s139, s140) <=> succ(s139, s140)),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9276,axiom,(succ(s139, s140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound140')).
% 7.49/5.33 tff(9277,plain,
% 7.49/5.33 (succ(s139, s140)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9276, 9275])).
% 7.49/5.33 tff(9278,plain,
% 7.49/5.33 (((~![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))),
% 7.49/5.33 inference(rewrite,[status(thm)],[])).
% 7.49/5.33 tff(9279,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))),
% 7.49/5.33 inference(quant_inst,[status(thm)],[])).
% 7.49/5.33 tff(9280,plain,
% 7.49/5.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140)),
% 7.49/5.33 inference(modus_ponens,[status(thm)],[9279, 9278])).
% 7.49/5.33 tff(9281,plain,
% 7.49/5.33 (trans(s139, s140)),
% 7.49/5.33 inference(unit_resolution,[status(thm)],[9280, 9277, 39])).
% 7.49/5.34 tff(9282,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9283,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s139, s140)) | (~always3(s139)) | always3(s140))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9284,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s139, s140)) | (~always3(s139)) | always3(s140)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9283, 9282])).
% 7.49/5.34 tff(9285,plain,
% 7.49/5.34 ((~always3(s139)) | always3(s140)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9284, 112, 9281])).
% 7.49/5.34 tff(9286,plain,
% 7.49/5.34 (always3(s140)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9285, 9274])).
% 7.49/5.34 tff(9287,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9288,plain,
% 7.49/5.34 (((~m_main_v_state(s140, c_busy)) | (~always3(s140))) <=> ((~always3(s140)) | (~m_main_v_state(s140, c_busy)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9289,plain,
% 7.49/5.34 (((~![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))))),
% 7.49/5.34 inference(monotonicity,[status(thm)],[9288])).
% 7.49/5.34 tff(9290,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(transitivity,[status(thm)],[9289, 9287])).
% 7.49/5.34 tff(9291,plain,
% 7.49/5.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s140, c_busy)) | (~always3(s140)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9292,plain,
% 7.49/5.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s140)) | (~m_main_v_state(s140, c_busy))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9291, 9290])).
% 7.49/5.34 tff(9293,plain,
% 7.49/5.34 (~m_main_v_state(s140, c_busy)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9292, 72, 9286])).
% 7.49/5.34 tff(9294,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9295,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s139, s140)) | node2(s139, s140))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9296,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s139, s140)) | node2(s139, s140)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9295, 9294])).
% 7.49/5.34 tff(9297,plain,
% 7.49/5.34 (node2(s139, s140)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9296, 7, 9281])).
% 7.49/5.34 tff(9298,plain,
% 7.49/5.34 (((~![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(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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9299,plain,
% 7.49/5.34 ((~![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(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9300,plain,
% 7.49/5.34 ((~![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(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9299, 9298])).
% 7.49/5.34 tff(9301,plain,
% 7.49/5.34 ((~m_main_v_state(s139, c_ready)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139))),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9300, 60, 9297])).
% 7.49/5.34 tff(9302,plain,
% 7.49/5.34 (~m_main_v_state(s139, c_ready)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9301, 9293, 9270])).
% 7.49/5.34 tff(9303,plain,
% 7.49/5.34 (~m_main_v_state(s139, c_busy)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9236, 72, 9274])).
% 7.49/5.34 tff(9304,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9305,plain,
% 7.49/5.34 ((~![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))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9306,plain,
% 7.49/5.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s139, c_busy) | m_main_v_state(s139, c_ready)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9305, 9304])).
% 7.49/5.34 tff(9307,plain,
% 7.49/5.34 ($false),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9306, 89, 9303, 9302])).
% 7.49/5.34 tff(9308,plain,(~node4(s139)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.34 tff(9309,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9310,plain,
% 7.49/5.34 ((node4(s139) | (~until5(s139)) | xuntil6(s139)) <=> (xuntil6(s139) | node4(s139) | (~until5(s139)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9311,plain,
% 7.49/5.34 (((~![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))))),
% 7.49/5.34 inference(monotonicity,[status(thm)],[9310])).
% 7.49/5.34 tff(9312,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(transitivity,[status(thm)],[9311, 9309])).
% 7.49/5.34 tff(9313,plain,
% 7.49/5.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s139) | (~until5(s139)) | xuntil6(s139))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9314,plain,
% 7.49/5.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s139) | node4(s139) | (~until5(s139))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 7.49/5.34 tff(9315,plain,
% 7.49/5.34 (xuntil6(s139) | (~until5(s139))),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9314, 352, 9308])).
% 7.49/5.34 tff(9316,plain,
% 7.49/5.34 (xuntil6(s139)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9315, 9265])).
% 7.49/5.34 tff(9317,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9318,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9319,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9318, 9317])).
% 7.49/5.34 tff(9320,plain,
% 7.49/5.34 ((~xuntil6(s139)) | until5(s140)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9319, 9277, 370])).
% 7.49/5.34 tff(9321,plain,
% 7.49/5.34 (until5(s140)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9320, 9316])).
% 7.49/5.34 tff(9322,assumption,(node4(s140)), introduced(assumption)).
% 7.49/5.34 tff(9323,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9324,plain,
% 7.49/5.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s140) | (~node4(s140)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9325,plain,
% 7.49/5.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s140) | (~node4(s140))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9324, 9323])).
% 7.49/5.34 tff(9326,plain,
% 7.49/5.34 (m_main_v_request(s140)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9325, 28, 9322])).
% 7.49/5.34 tff(9327,plain,
% 7.49/5.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s140) | (~node4(s140)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s140) | (~node4(s140)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9328,plain,
% 7.49/5.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s140) | (~node4(s140)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9329,plain,
% 7.49/5.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s140) | (~node4(s140))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9328, 9327])).
% 7.49/5.34 tff(9330,plain,
% 7.49/5.34 (always3(s140)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9329, 16, 9322])).
% 7.49/5.34 tff(9331,plain,
% 7.49/5.34 (succ(s140, s141) <=> succ(s140, s141)),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9332,axiom,(succ(s140, s141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound141')).
% 7.49/5.34 tff(9333,plain,
% 7.49/5.34 (succ(s140, s141)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9332, 9331])).
% 7.49/5.34 tff(9334,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9335,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9336,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9335, 9334])).
% 7.49/5.34 tff(9337,plain,
% 7.49/5.34 (trans(s140, s141)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9336, 9333, 39])).
% 7.49/5.34 tff(9338,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9339,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s140, s141)) | (~always3(s140)) | always3(s141))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9340,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s140, s141)) | (~always3(s140)) | always3(s141)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9339, 9338])).
% 7.49/5.34 tff(9341,plain,
% 7.49/5.34 ((~always3(s140)) | always3(s141)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9340, 112, 9337])).
% 7.49/5.34 tff(9342,plain,
% 7.49/5.34 (always3(s141)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9341, 9330])).
% 7.49/5.34 tff(9343,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9344,plain,
% 7.49/5.34 (((~m_main_v_state(s141, c_busy)) | (~always3(s141))) <=> ((~always3(s141)) | (~m_main_v_state(s141, c_busy)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9345,plain,
% 7.49/5.34 (((~![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))))),
% 7.49/5.34 inference(monotonicity,[status(thm)],[9344])).
% 7.49/5.34 tff(9346,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(transitivity,[status(thm)],[9345, 9343])).
% 7.49/5.34 tff(9347,plain,
% 7.49/5.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s141, c_busy)) | (~always3(s141)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9348,plain,
% 7.49/5.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s141)) | (~m_main_v_state(s141, c_busy))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9347, 9346])).
% 7.49/5.34 tff(9349,plain,
% 7.49/5.34 (~m_main_v_state(s141, c_busy)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9348, 72, 9342])).
% 7.49/5.34 tff(9350,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9351,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s140, s141)) | node2(s140, s141))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9352,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s140, s141)) | node2(s140, s141)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9351, 9350])).
% 7.49/5.34 tff(9353,plain,
% 7.49/5.34 (node2(s140, s141)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9352, 7, 9337])).
% 7.49/5.34 tff(9354,plain,
% 7.49/5.34 (((~![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(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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9355,plain,
% 7.49/5.34 ((~![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(s140, c_ready)) | (~node2(s140, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9356,plain,
% 7.49/5.34 ((~![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(s140, c_ready)) | (~node2(s140, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9355, 9354])).
% 7.49/5.34 tff(9357,plain,
% 7.49/5.34 ((~m_main_v_state(s140, c_ready)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140))),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9356, 60, 9353])).
% 7.49/5.34 tff(9358,plain,
% 7.49/5.34 (~m_main_v_state(s140, c_ready)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9357, 9349, 9326])).
% 7.49/5.34 tff(9359,plain,
% 7.49/5.34 (~m_main_v_state(s140, c_busy)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9292, 72, 9330])).
% 7.49/5.34 tff(9360,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9361,plain,
% 7.49/5.34 ((~![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))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9362,plain,
% 7.49/5.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s140, c_busy) | m_main_v_state(s140, c_ready)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 7.49/5.34 tff(9363,plain,
% 7.49/5.34 ($false),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9362, 89, 9359, 9358])).
% 7.49/5.34 tff(9364,plain,(~node4(s140)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.34 tff(9365,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9366,plain,
% 7.49/5.34 ((node4(s140) | (~until5(s140)) | xuntil6(s140)) <=> (xuntil6(s140) | node4(s140) | (~until5(s140)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9367,plain,
% 7.49/5.34 (((~![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))))),
% 7.49/5.34 inference(monotonicity,[status(thm)],[9366])).
% 7.49/5.34 tff(9368,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(transitivity,[status(thm)],[9367, 9365])).
% 7.49/5.34 tff(9369,plain,
% 7.49/5.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s140) | (~until5(s140)) | xuntil6(s140))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9370,plain,
% 7.49/5.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s140) | node4(s140) | (~until5(s140))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9369, 9368])).
% 7.49/5.34 tff(9371,plain,
% 7.49/5.34 (xuntil6(s140) | (~until5(s140))),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9370, 352, 9364])).
% 7.49/5.34 tff(9372,plain,
% 7.49/5.34 (xuntil6(s140)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9371, 9321])).
% 7.49/5.34 tff(9373,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9374,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9375,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9374, 9373])).
% 7.49/5.34 tff(9376,plain,
% 7.49/5.34 ((~xuntil6(s140)) | until5(s141)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9375, 9333, 370])).
% 7.49/5.34 tff(9377,plain,
% 7.49/5.34 (until5(s141)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9376, 9372])).
% 7.49/5.34 tff(9378,assumption,(node4(s141)), introduced(assumption)).
% 7.49/5.34 tff(9379,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9380,plain,
% 7.49/5.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s141) | (~node4(s141)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9381,plain,
% 7.49/5.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s141) | (~node4(s141))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9380, 9379])).
% 7.49/5.34 tff(9382,plain,
% 7.49/5.34 (m_main_v_request(s141)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9381, 28, 9378])).
% 7.49/5.34 tff(9383,plain,
% 7.49/5.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s141) | (~node4(s141)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s141) | (~node4(s141)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9384,plain,
% 7.49/5.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s141) | (~node4(s141)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9385,plain,
% 7.49/5.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s141) | (~node4(s141))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9384, 9383])).
% 7.49/5.34 tff(9386,plain,
% 7.49/5.34 (always3(s141)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9385, 16, 9378])).
% 7.49/5.34 tff(9387,plain,
% 7.49/5.34 (succ(s141, s142) <=> succ(s141, s142)),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9388,axiom,(succ(s141, s142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound142')).
% 7.49/5.34 tff(9389,plain,
% 7.49/5.34 (succ(s141, s142)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9388, 9387])).
% 7.49/5.34 tff(9390,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9391,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9392,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9391, 9390])).
% 7.49/5.34 tff(9393,plain,
% 7.49/5.34 (trans(s141, s142)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9392, 9389, 39])).
% 7.49/5.34 tff(9394,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9395,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s141, s142)) | (~always3(s141)) | always3(s142))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9396,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s141, s142)) | (~always3(s141)) | always3(s142)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9395, 9394])).
% 7.49/5.34 tff(9397,plain,
% 7.49/5.34 ((~always3(s141)) | always3(s142)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9396, 112, 9393])).
% 7.49/5.34 tff(9398,plain,
% 7.49/5.34 (always3(s142)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9397, 9386])).
% 7.49/5.34 tff(9399,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9400,plain,
% 7.49/5.34 (((~m_main_v_state(s142, c_busy)) | (~always3(s142))) <=> ((~always3(s142)) | (~m_main_v_state(s142, c_busy)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9401,plain,
% 7.49/5.34 (((~![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))))),
% 7.49/5.34 inference(monotonicity,[status(thm)],[9400])).
% 7.49/5.34 tff(9402,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(transitivity,[status(thm)],[9401, 9399])).
% 7.49/5.34 tff(9403,plain,
% 7.49/5.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s142, c_busy)) | (~always3(s142)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9404,plain,
% 7.49/5.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s142)) | (~m_main_v_state(s142, c_busy))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9403, 9402])).
% 7.49/5.34 tff(9405,plain,
% 7.49/5.34 (~m_main_v_state(s142, c_busy)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9404, 72, 9398])).
% 7.49/5.34 tff(9406,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9407,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s141, s142)) | node2(s141, s142))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9408,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s141, s142)) | node2(s141, s142)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9407, 9406])).
% 7.49/5.34 tff(9409,plain,
% 7.49/5.34 (node2(s141, s142)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9408, 7, 9393])).
% 7.49/5.34 tff(9410,plain,
% 7.49/5.34 (((~![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(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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9411,plain,
% 7.49/5.34 ((~![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(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9412,plain,
% 7.49/5.34 ((~![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(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9411, 9410])).
% 7.49/5.34 tff(9413,plain,
% 7.49/5.34 ((~m_main_v_state(s141, c_ready)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141))),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9412, 60, 9409])).
% 7.49/5.34 tff(9414,plain,
% 7.49/5.34 (~m_main_v_state(s141, c_ready)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9413, 9405, 9382])).
% 7.49/5.34 tff(9415,plain,
% 7.49/5.34 (~m_main_v_state(s141, c_busy)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9348, 72, 9386])).
% 7.49/5.34 tff(9416,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9417,plain,
% 7.49/5.34 ((~![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))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9418,plain,
% 7.49/5.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s141, c_busy) | m_main_v_state(s141, c_ready)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9417, 9416])).
% 7.49/5.34 tff(9419,plain,
% 7.49/5.34 ($false),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9418, 89, 9415, 9414])).
% 7.49/5.34 tff(9420,plain,(~node4(s141)), inference(lemma,lemma(discharge,[]))).
% 7.49/5.34 tff(9421,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9422,plain,
% 7.49/5.34 ((node4(s141) | (~until5(s141)) | xuntil6(s141)) <=> (xuntil6(s141) | node4(s141) | (~until5(s141)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9423,plain,
% 7.49/5.34 (((~![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))))),
% 7.49/5.34 inference(monotonicity,[status(thm)],[9422])).
% 7.49/5.34 tff(9424,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(transitivity,[status(thm)],[9423, 9421])).
% 7.49/5.34 tff(9425,plain,
% 7.49/5.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s141) | (~until5(s141)) | xuntil6(s141))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9426,plain,
% 7.49/5.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s141) | node4(s141) | (~until5(s141))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9425, 9424])).
% 7.49/5.34 tff(9427,plain,
% 7.49/5.34 (xuntil6(s141) | (~until5(s141))),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9426, 352, 9420])).
% 7.49/5.34 tff(9428,plain,
% 7.49/5.34 (xuntil6(s141)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9427, 9377])).
% 7.49/5.34 tff(9429,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9430,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9431,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9430, 9429])).
% 7.49/5.34 tff(9432,plain,
% 7.49/5.34 ((~xuntil6(s141)) | until5(s142)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9431, 9389, 370])).
% 7.49/5.34 tff(9433,plain,
% 7.49/5.34 (until5(s142)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9432, 9428])).
% 7.49/5.34 tff(9434,assumption,(node4(s142)), introduced(assumption)).
% 7.49/5.34 tff(9435,plain,
% 7.49/5.34 (((~![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)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9436,plain,
% 7.49/5.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s142) | (~node4(s142)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9437,plain,
% 7.49/5.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s142) | (~node4(s142))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9436, 9435])).
% 7.49/5.34 tff(9438,plain,
% 7.49/5.34 (m_main_v_request(s142)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9437, 28, 9434])).
% 7.49/5.34 tff(9439,plain,
% 7.49/5.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s142) | (~node4(s142)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s142) | (~node4(s142)))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9440,plain,
% 7.49/5.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s142) | (~node4(s142)))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9441,plain,
% 7.49/5.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s142) | (~node4(s142))),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9440, 9439])).
% 7.49/5.34 tff(9442,plain,
% 7.49/5.34 (always3(s142)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9441, 16, 9434])).
% 7.49/5.34 tff(9443,plain,
% 7.49/5.34 (succ(s142, s143) <=> succ(s142, s143)),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9444,axiom,(succ(s142, s143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound143')).
% 7.49/5.34 tff(9445,plain,
% 7.49/5.34 (succ(s142, s143)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9444, 9443])).
% 7.49/5.34 tff(9446,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9447,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9448,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143)),
% 7.49/5.34 inference(modus_ponens,[status(thm)],[9447, 9446])).
% 7.49/5.34 tff(9449,plain,
% 7.49/5.34 (trans(s142, s143)),
% 7.49/5.34 inference(unit_resolution,[status(thm)],[9448, 9445, 39])).
% 7.49/5.34 tff(9450,plain,
% 7.49/5.34 (((~![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))),
% 7.49/5.34 inference(rewrite,[status(thm)],[])).
% 7.49/5.34 tff(9451,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s142, s143)) | (~always3(s142)) | always3(s143))),
% 7.49/5.34 inference(quant_inst,[status(thm)],[])).
% 7.49/5.34 tff(9452,plain,
% 7.49/5.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s142, s143)) | (~always3(s142)) | always3(s143)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9451, 9450])).
% 7.57/5.35 tff(9453,plain,
% 7.57/5.35 ((~always3(s142)) | always3(s143)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9452, 112, 9449])).
% 7.57/5.35 tff(9454,plain,
% 7.57/5.35 (always3(s143)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9453, 9442])).
% 7.57/5.35 tff(9455,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9456,plain,
% 7.57/5.35 (((~m_main_v_state(s143, c_busy)) | (~always3(s143))) <=> ((~always3(s143)) | (~m_main_v_state(s143, c_busy)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9457,plain,
% 7.57/5.35 (((~![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))))),
% 7.57/5.35 inference(monotonicity,[status(thm)],[9456])).
% 7.57/5.35 tff(9458,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(transitivity,[status(thm)],[9457, 9455])).
% 7.57/5.35 tff(9459,plain,
% 7.57/5.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s143, c_busy)) | (~always3(s143)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9460,plain,
% 7.57/5.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s143)) | (~m_main_v_state(s143, c_busy))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9459, 9458])).
% 7.57/5.35 tff(9461,plain,
% 7.57/5.35 (~m_main_v_state(s143, c_busy)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9460, 72, 9454])).
% 7.57/5.35 tff(9462,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9463,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s142, s143)) | node2(s142, s143))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9464,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s142, s143)) | node2(s142, s143)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9463, 9462])).
% 7.57/5.35 tff(9465,plain,
% 7.57/5.35 (node2(s142, s143)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9464, 7, 9449])).
% 7.57/5.35 tff(9466,plain,
% 7.57/5.35 (((~![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(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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9467,plain,
% 7.57/5.35 ((~![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(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9468,plain,
% 7.57/5.35 ((~![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(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9467, 9466])).
% 7.57/5.35 tff(9469,plain,
% 7.57/5.35 ((~m_main_v_state(s142, c_ready)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142))),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9468, 60, 9465])).
% 7.57/5.35 tff(9470,plain,
% 7.57/5.35 (~m_main_v_state(s142, c_ready)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9469, 9461, 9438])).
% 7.57/5.35 tff(9471,plain,
% 7.57/5.35 (~m_main_v_state(s142, c_busy)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9404, 72, 9442])).
% 7.57/5.35 tff(9472,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9473,plain,
% 7.57/5.35 ((~![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))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9474,plain,
% 7.57/5.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s142, c_busy) | m_main_v_state(s142, c_ready)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9473, 9472])).
% 7.57/5.35 tff(9475,plain,
% 7.57/5.35 ($false),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9474, 89, 9471, 9470])).
% 7.57/5.35 tff(9476,plain,(~node4(s142)), inference(lemma,lemma(discharge,[]))).
% 7.57/5.35 tff(9477,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9478,plain,
% 7.57/5.35 ((node4(s142) | (~until5(s142)) | xuntil6(s142)) <=> (xuntil6(s142) | node4(s142) | (~until5(s142)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9479,plain,
% 7.57/5.35 (((~![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))))),
% 7.57/5.35 inference(monotonicity,[status(thm)],[9478])).
% 7.57/5.35 tff(9480,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(transitivity,[status(thm)],[9479, 9477])).
% 7.57/5.35 tff(9481,plain,
% 7.57/5.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s142) | (~until5(s142)) | xuntil6(s142))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9482,plain,
% 7.57/5.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s142) | node4(s142) | (~until5(s142))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9481, 9480])).
% 7.57/5.35 tff(9483,plain,
% 7.57/5.35 (xuntil6(s142) | (~until5(s142))),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9482, 352, 9476])).
% 7.57/5.35 tff(9484,plain,
% 7.57/5.35 (xuntil6(s142)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9483, 9433])).
% 7.57/5.35 tff(9485,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9486,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9487,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9486, 9485])).
% 7.57/5.35 tff(9488,plain,
% 7.57/5.35 ((~xuntil6(s142)) | until5(s143)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9487, 9445, 370])).
% 7.57/5.35 tff(9489,plain,
% 7.57/5.35 (until5(s143)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9488, 9484])).
% 7.57/5.35 tff(9490,assumption,(node4(s143)), introduced(assumption)).
% 7.57/5.35 tff(9491,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9492,plain,
% 7.57/5.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s143) | (~node4(s143)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9493,plain,
% 7.57/5.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s143) | (~node4(s143))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9492, 9491])).
% 7.57/5.35 tff(9494,plain,
% 7.57/5.35 (m_main_v_request(s143)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9493, 28, 9490])).
% 7.57/5.35 tff(9495,plain,
% 7.57/5.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s143) | (~node4(s143)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s143) | (~node4(s143)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9496,plain,
% 7.57/5.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s143) | (~node4(s143)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9497,plain,
% 7.57/5.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s143) | (~node4(s143))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9496, 9495])).
% 7.57/5.35 tff(9498,plain,
% 7.57/5.35 (always3(s143)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9497, 16, 9490])).
% 7.57/5.35 tff(9499,plain,
% 7.57/5.35 (succ(s143, s144) <=> succ(s143, s144)),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9500,axiom,(succ(s143, s144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound144')).
% 7.57/5.35 tff(9501,plain,
% 7.57/5.35 (succ(s143, s144)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9500, 9499])).
% 7.57/5.35 tff(9502,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9503,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9504,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9503, 9502])).
% 7.57/5.35 tff(9505,plain,
% 7.57/5.35 (trans(s143, s144)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9504, 9501, 39])).
% 7.57/5.35 tff(9506,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9507,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s143, s144)) | (~always3(s143)) | always3(s144))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9508,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s143, s144)) | (~always3(s143)) | always3(s144)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9507, 9506])).
% 7.57/5.35 tff(9509,plain,
% 7.57/5.35 ((~always3(s143)) | always3(s144)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9508, 112, 9505])).
% 7.57/5.35 tff(9510,plain,
% 7.57/5.35 (always3(s144)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9509, 9498])).
% 7.57/5.35 tff(9511,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9512,plain,
% 7.57/5.35 (((~m_main_v_state(s144, c_busy)) | (~always3(s144))) <=> ((~always3(s144)) | (~m_main_v_state(s144, c_busy)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9513,plain,
% 7.57/5.35 (((~![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))))),
% 7.57/5.35 inference(monotonicity,[status(thm)],[9512])).
% 7.57/5.35 tff(9514,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(transitivity,[status(thm)],[9513, 9511])).
% 7.57/5.35 tff(9515,plain,
% 7.57/5.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s144, c_busy)) | (~always3(s144)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9516,plain,
% 7.57/5.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s144)) | (~m_main_v_state(s144, c_busy))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9515, 9514])).
% 7.57/5.35 tff(9517,plain,
% 7.57/5.35 (~m_main_v_state(s144, c_busy)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9516, 72, 9510])).
% 7.57/5.35 tff(9518,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9519,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s143, s144)) | node2(s143, s144))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9520,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s143, s144)) | node2(s143, s144)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9519, 9518])).
% 7.57/5.35 tff(9521,plain,
% 7.57/5.35 (node2(s143, s144)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9520, 7, 9505])).
% 7.57/5.35 tff(9522,plain,
% 7.57/5.35 (((~![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(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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9523,plain,
% 7.57/5.35 ((~![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(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9524,plain,
% 7.57/5.35 ((~![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(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 7.57/5.35 tff(9525,plain,
% 7.57/5.35 ((~m_main_v_state(s143, c_ready)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143))),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9524, 60, 9521])).
% 7.57/5.35 tff(9526,plain,
% 7.57/5.35 (~m_main_v_state(s143, c_ready)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9525, 9517, 9494])).
% 7.57/5.35 tff(9527,plain,
% 7.57/5.35 (~m_main_v_state(s143, c_busy)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9460, 72, 9498])).
% 7.57/5.35 tff(9528,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9529,plain,
% 7.57/5.35 ((~![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))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9530,plain,
% 7.57/5.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s143, c_busy) | m_main_v_state(s143, c_ready)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9529, 9528])).
% 7.57/5.35 tff(9531,plain,
% 7.57/5.35 ($false),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9530, 89, 9527, 9526])).
% 7.57/5.35 tff(9532,plain,(~node4(s143)), inference(lemma,lemma(discharge,[]))).
% 7.57/5.35 tff(9533,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9534,plain,
% 7.57/5.35 ((node4(s143) | (~until5(s143)) | xuntil6(s143)) <=> (xuntil6(s143) | node4(s143) | (~until5(s143)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9535,plain,
% 7.57/5.35 (((~![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))))),
% 7.57/5.35 inference(monotonicity,[status(thm)],[9534])).
% 7.57/5.35 tff(9536,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(transitivity,[status(thm)],[9535, 9533])).
% 7.57/5.35 tff(9537,plain,
% 7.57/5.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s143) | (~until5(s143)) | xuntil6(s143))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9538,plain,
% 7.57/5.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s143) | node4(s143) | (~until5(s143))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9537, 9536])).
% 7.57/5.35 tff(9539,plain,
% 7.57/5.35 (xuntil6(s143) | (~until5(s143))),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9538, 352, 9532])).
% 7.57/5.35 tff(9540,plain,
% 7.57/5.35 (xuntil6(s143)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9539, 9489])).
% 7.57/5.35 tff(9541,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9542,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9543,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9542, 9541])).
% 7.57/5.35 tff(9544,plain,
% 7.57/5.35 ((~xuntil6(s143)) | until5(s144)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9543, 9501, 370])).
% 7.57/5.35 tff(9545,plain,
% 7.57/5.35 (until5(s144)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9544, 9540])).
% 7.57/5.35 tff(9546,assumption,(node4(s144)), introduced(assumption)).
% 7.57/5.35 tff(9547,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9548,plain,
% 7.57/5.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s144) | (~node4(s144)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9549,plain,
% 7.57/5.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s144) | (~node4(s144))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9548, 9547])).
% 7.57/5.35 tff(9550,plain,
% 7.57/5.35 (m_main_v_request(s144)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9549, 28, 9546])).
% 7.57/5.35 tff(9551,plain,
% 7.57/5.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s144) | (~node4(s144)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s144) | (~node4(s144)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9552,plain,
% 7.57/5.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s144) | (~node4(s144)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9553,plain,
% 7.57/5.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s144) | (~node4(s144))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9552, 9551])).
% 7.57/5.35 tff(9554,plain,
% 7.57/5.35 (always3(s144)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9553, 16, 9546])).
% 7.57/5.35 tff(9555,plain,
% 7.57/5.35 (succ(s144, s145) <=> succ(s144, s145)),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9556,axiom,(succ(s144, s145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound145')).
% 7.57/5.35 tff(9557,plain,
% 7.57/5.35 (succ(s144, s145)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9556, 9555])).
% 7.57/5.35 tff(9558,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9559,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9560,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9559, 9558])).
% 7.57/5.35 tff(9561,plain,
% 7.57/5.35 (trans(s144, s145)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9560, 9557, 39])).
% 7.57/5.35 tff(9562,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9563,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s144, s145)) | (~always3(s144)) | always3(s145))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9564,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s144, s145)) | (~always3(s144)) | always3(s145)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9563, 9562])).
% 7.57/5.35 tff(9565,plain,
% 7.57/5.35 ((~always3(s144)) | always3(s145)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9564, 112, 9561])).
% 7.57/5.35 tff(9566,plain,
% 7.57/5.35 (always3(s145)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9565, 9554])).
% 7.57/5.35 tff(9567,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9568,plain,
% 7.57/5.35 (((~m_main_v_state(s145, c_busy)) | (~always3(s145))) <=> ((~always3(s145)) | (~m_main_v_state(s145, c_busy)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9569,plain,
% 7.57/5.35 (((~![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))))),
% 7.57/5.35 inference(monotonicity,[status(thm)],[9568])).
% 7.57/5.35 tff(9570,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(transitivity,[status(thm)],[9569, 9567])).
% 7.57/5.35 tff(9571,plain,
% 7.57/5.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s145, c_busy)) | (~always3(s145)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9572,plain,
% 7.57/5.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s145)) | (~m_main_v_state(s145, c_busy))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9571, 9570])).
% 7.57/5.35 tff(9573,plain,
% 7.57/5.35 (~m_main_v_state(s145, c_busy)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9572, 72, 9566])).
% 7.57/5.35 tff(9574,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9575,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s144, s145)) | node2(s144, s145))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9576,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s144, s145)) | node2(s144, s145)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9575, 9574])).
% 7.57/5.35 tff(9577,plain,
% 7.57/5.35 (node2(s144, s145)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9576, 7, 9561])).
% 7.57/5.35 tff(9578,plain,
% 7.57/5.35 (((~![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(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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9579,plain,
% 7.57/5.35 ((~![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(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9580,plain,
% 7.57/5.35 ((~![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(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9579, 9578])).
% 7.57/5.35 tff(9581,plain,
% 7.57/5.35 ((~m_main_v_state(s144, c_ready)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144))),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9580, 60, 9577])).
% 7.57/5.35 tff(9582,plain,
% 7.57/5.35 (~m_main_v_state(s144, c_ready)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9581, 9573, 9550])).
% 7.57/5.35 tff(9583,plain,
% 7.57/5.35 (~m_main_v_state(s144, c_busy)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9516, 72, 9554])).
% 7.57/5.35 tff(9584,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9585,plain,
% 7.57/5.35 ((~![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))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9586,plain,
% 7.57/5.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s144, c_busy) | m_main_v_state(s144, c_ready)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9585, 9584])).
% 7.57/5.35 tff(9587,plain,
% 7.57/5.35 ($false),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9586, 89, 9583, 9582])).
% 7.57/5.35 tff(9588,plain,(~node4(s144)), inference(lemma,lemma(discharge,[]))).
% 7.57/5.35 tff(9589,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9590,plain,
% 7.57/5.35 ((node4(s144) | (~until5(s144)) | xuntil6(s144)) <=> (xuntil6(s144) | node4(s144) | (~until5(s144)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9591,plain,
% 7.57/5.35 (((~![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))))),
% 7.57/5.35 inference(monotonicity,[status(thm)],[9590])).
% 7.57/5.35 tff(9592,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(transitivity,[status(thm)],[9591, 9589])).
% 7.57/5.35 tff(9593,plain,
% 7.57/5.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s144) | (~until5(s144)) | xuntil6(s144))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9594,plain,
% 7.57/5.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s144) | node4(s144) | (~until5(s144))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9593, 9592])).
% 7.57/5.35 tff(9595,plain,
% 7.57/5.35 (xuntil6(s144) | (~until5(s144))),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9594, 352, 9588])).
% 7.57/5.35 tff(9596,plain,
% 7.57/5.35 (xuntil6(s144)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9595, 9545])).
% 7.57/5.35 tff(9597,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9598,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9599,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9598, 9597])).
% 7.57/5.35 tff(9600,plain,
% 7.57/5.35 ((~xuntil6(s144)) | until5(s145)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9599, 9557, 370])).
% 7.57/5.35 tff(9601,plain,
% 7.57/5.35 (until5(s145)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9600, 9596])).
% 7.57/5.35 tff(9602,assumption,(node4(s145)), introduced(assumption)).
% 7.57/5.35 tff(9603,plain,
% 7.57/5.35 (((~![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)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9604,plain,
% 7.57/5.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s145) | (~node4(s145)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9605,plain,
% 7.57/5.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s145) | (~node4(s145))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9604, 9603])).
% 7.57/5.35 tff(9606,plain,
% 7.57/5.35 (m_main_v_request(s145)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9605, 28, 9602])).
% 7.57/5.35 tff(9607,plain,
% 7.57/5.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s145) | (~node4(s145)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s145) | (~node4(s145)))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9608,plain,
% 7.57/5.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s145) | (~node4(s145)))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9609,plain,
% 7.57/5.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s145) | (~node4(s145))),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9608, 9607])).
% 7.57/5.35 tff(9610,plain,
% 7.57/5.35 (always3(s145)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9609, 16, 9602])).
% 7.57/5.35 tff(9611,plain,
% 7.57/5.35 (succ(s145, s146) <=> succ(s145, s146)),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9612,axiom,(succ(s145, s146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound146')).
% 7.57/5.35 tff(9613,plain,
% 7.57/5.35 (succ(s145, s146)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9612, 9611])).
% 7.57/5.35 tff(9614,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.35 tff(9615,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))),
% 7.57/5.35 inference(quant_inst,[status(thm)],[])).
% 7.57/5.35 tff(9616,plain,
% 7.57/5.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146)),
% 7.57/5.35 inference(modus_ponens,[status(thm)],[9615, 9614])).
% 7.57/5.35 tff(9617,plain,
% 7.57/5.35 (trans(s145, s146)),
% 7.57/5.35 inference(unit_resolution,[status(thm)],[9616, 9613, 39])).
% 7.57/5.35 tff(9618,plain,
% 7.57/5.35 (((~![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))),
% 7.57/5.35 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9619,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s145, s146)) | (~always3(s145)) | always3(s146))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9620,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s145, s146)) | (~always3(s145)) | always3(s146)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9619, 9618])).
% 7.57/5.36 tff(9621,plain,
% 7.57/5.36 ((~always3(s145)) | always3(s146)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9620, 112, 9617])).
% 7.57/5.36 tff(9622,plain,
% 7.57/5.36 (always3(s146)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9621, 9610])).
% 7.57/5.36 tff(9623,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9624,plain,
% 7.57/5.36 (((~m_main_v_state(s146, c_busy)) | (~always3(s146))) <=> ((~always3(s146)) | (~m_main_v_state(s146, c_busy)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9625,plain,
% 7.57/5.36 (((~![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))))),
% 7.57/5.36 inference(monotonicity,[status(thm)],[9624])).
% 7.57/5.36 tff(9626,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(transitivity,[status(thm)],[9625, 9623])).
% 7.57/5.36 tff(9627,plain,
% 7.57/5.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s146, c_busy)) | (~always3(s146)))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9628,plain,
% 7.57/5.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s146)) | (~m_main_v_state(s146, c_busy))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9627, 9626])).
% 7.57/5.36 tff(9629,plain,
% 7.57/5.36 (~m_main_v_state(s146, c_busy)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9628, 72, 9622])).
% 7.57/5.36 tff(9630,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9631,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s145, s146)) | node2(s145, s146))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9632,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s145, s146)) | node2(s145, s146)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9631, 9630])).
% 7.57/5.36 tff(9633,plain,
% 7.57/5.36 (node2(s145, s146)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9632, 7, 9617])).
% 7.57/5.36 tff(9634,plain,
% 7.57/5.36 (((~![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(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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9635,plain,
% 7.57/5.36 ((~![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(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145)))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9636,plain,
% 7.57/5.36 ((~![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(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 7.57/5.36 tff(9637,plain,
% 7.57/5.36 ((~m_main_v_state(s145, c_ready)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145))),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9636, 60, 9633])).
% 7.57/5.36 tff(9638,plain,
% 7.57/5.36 (~m_main_v_state(s145, c_ready)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9637, 9629, 9606])).
% 7.57/5.36 tff(9639,plain,
% 7.57/5.36 (~m_main_v_state(s145, c_busy)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9572, 72, 9610])).
% 7.57/5.36 tff(9640,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9641,plain,
% 7.57/5.36 ((~![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))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9642,plain,
% 7.57/5.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s145, c_busy) | m_main_v_state(s145, c_ready)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9641, 9640])).
% 7.57/5.36 tff(9643,plain,
% 7.57/5.36 ($false),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9642, 89, 9639, 9638])).
% 7.57/5.36 tff(9644,plain,(~node4(s145)), inference(lemma,lemma(discharge,[]))).
% 7.57/5.36 tff(9645,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9646,plain,
% 7.57/5.36 ((node4(s145) | (~until5(s145)) | xuntil6(s145)) <=> (xuntil6(s145) | node4(s145) | (~until5(s145)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9647,plain,
% 7.57/5.36 (((~![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))))),
% 7.57/5.36 inference(monotonicity,[status(thm)],[9646])).
% 7.57/5.36 tff(9648,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(transitivity,[status(thm)],[9647, 9645])).
% 7.57/5.36 tff(9649,plain,
% 7.57/5.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s145) | (~until5(s145)) | xuntil6(s145))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9650,plain,
% 7.57/5.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s145) | node4(s145) | (~until5(s145))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9649, 9648])).
% 7.57/5.36 tff(9651,plain,
% 7.57/5.36 (xuntil6(s145) | (~until5(s145))),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9650, 352, 9644])).
% 7.57/5.36 tff(9652,plain,
% 7.57/5.36 (xuntil6(s145)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9651, 9601])).
% 7.57/5.36 tff(9653,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9654,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9655,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9654, 9653])).
% 7.57/5.36 tff(9656,plain,
% 7.57/5.36 ((~xuntil6(s145)) | until5(s146)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9655, 9613, 370])).
% 7.57/5.36 tff(9657,plain,
% 7.57/5.36 (until5(s146)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9656, 9652])).
% 7.57/5.36 tff(9658,assumption,(node4(s146)), introduced(assumption)).
% 7.57/5.36 tff(9659,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9660,plain,
% 7.57/5.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s146) | (~node4(s146)))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9661,plain,
% 7.57/5.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s146) | (~node4(s146))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9660, 9659])).
% 7.57/5.36 tff(9662,plain,
% 7.57/5.36 (m_main_v_request(s146)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9661, 28, 9658])).
% 7.57/5.36 tff(9663,plain,
% 7.57/5.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s146) | (~node4(s146)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s146) | (~node4(s146)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9664,plain,
% 7.57/5.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s146) | (~node4(s146)))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9665,plain,
% 7.57/5.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s146) | (~node4(s146))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9664, 9663])).
% 7.57/5.36 tff(9666,plain,
% 7.57/5.36 (always3(s146)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9665, 16, 9658])).
% 7.57/5.36 tff(9667,plain,
% 7.57/5.36 (succ(s146, s147) <=> succ(s146, s147)),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9668,axiom,(succ(s146, s147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound147')).
% 7.57/5.36 tff(9669,plain,
% 7.57/5.36 (succ(s146, s147)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 7.57/5.36 tff(9670,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9671,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9672,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9671, 9670])).
% 7.57/5.36 tff(9673,plain,
% 7.57/5.36 (trans(s146, s147)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9672, 9669, 39])).
% 7.57/5.36 tff(9674,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9675,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s146, s147)) | (~always3(s146)) | always3(s147))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9676,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s146, s147)) | (~always3(s146)) | always3(s147)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9675, 9674])).
% 7.57/5.36 tff(9677,plain,
% 7.57/5.36 ((~always3(s146)) | always3(s147)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9676, 112, 9673])).
% 7.57/5.36 tff(9678,plain,
% 7.57/5.36 (always3(s147)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9677, 9666])).
% 7.57/5.36 tff(9679,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9680,plain,
% 7.57/5.36 (((~m_main_v_state(s147, c_busy)) | (~always3(s147))) <=> ((~always3(s147)) | (~m_main_v_state(s147, c_busy)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9681,plain,
% 7.57/5.36 (((~![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))))),
% 7.57/5.36 inference(monotonicity,[status(thm)],[9680])).
% 7.57/5.36 tff(9682,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(transitivity,[status(thm)],[9681, 9679])).
% 7.57/5.36 tff(9683,plain,
% 7.57/5.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s147, c_busy)) | (~always3(s147)))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9684,plain,
% 7.57/5.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s147)) | (~m_main_v_state(s147, c_busy))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9683, 9682])).
% 7.57/5.36 tff(9685,plain,
% 7.57/5.36 (~m_main_v_state(s147, c_busy)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9684, 72, 9678])).
% 7.57/5.36 tff(9686,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9687,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s146, s147)) | node2(s146, s147))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9688,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s146, s147)) | node2(s146, s147)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9687, 9686])).
% 7.57/5.36 tff(9689,plain,
% 7.57/5.36 (node2(s146, s147)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9688, 7, 9673])).
% 7.57/5.36 tff(9690,plain,
% 7.57/5.36 (((~![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(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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9691,plain,
% 7.57/5.36 ((~![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(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146)))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9692,plain,
% 7.57/5.36 ((~![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(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9691, 9690])).
% 7.57/5.36 tff(9693,plain,
% 7.57/5.36 ((~m_main_v_state(s146, c_ready)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146))),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9692, 60, 9689])).
% 7.57/5.36 tff(9694,plain,
% 7.57/5.36 (~m_main_v_state(s146, c_ready)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9693, 9685, 9662])).
% 7.57/5.36 tff(9695,plain,
% 7.57/5.36 (~m_main_v_state(s146, c_busy)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9628, 72, 9666])).
% 7.57/5.36 tff(9696,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9697,plain,
% 7.57/5.36 ((~![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))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9698,plain,
% 7.57/5.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s146, c_busy) | m_main_v_state(s146, c_ready)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9697, 9696])).
% 7.57/5.36 tff(9699,plain,
% 7.57/5.36 ($false),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9698, 89, 9695, 9694])).
% 7.57/5.36 tff(9700,plain,(~node4(s146)), inference(lemma,lemma(discharge,[]))).
% 7.57/5.36 tff(9701,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9702,plain,
% 7.57/5.36 ((node4(s146) | (~until5(s146)) | xuntil6(s146)) <=> (xuntil6(s146) | node4(s146) | (~until5(s146)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9703,plain,
% 7.57/5.36 (((~![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))))),
% 7.57/5.36 inference(monotonicity,[status(thm)],[9702])).
% 7.57/5.36 tff(9704,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(transitivity,[status(thm)],[9703, 9701])).
% 7.57/5.36 tff(9705,plain,
% 7.57/5.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s146) | (~until5(s146)) | xuntil6(s146))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9706,plain,
% 7.57/5.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s146) | node4(s146) | (~until5(s146))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9705, 9704])).
% 7.57/5.36 tff(9707,plain,
% 7.57/5.36 (xuntil6(s146) | (~until5(s146))),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9706, 352, 9700])).
% 7.57/5.36 tff(9708,plain,
% 7.57/5.36 (xuntil6(s146)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9707, 9657])).
% 7.57/5.36 tff(9709,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9710,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9711,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9710, 9709])).
% 7.57/5.36 tff(9712,plain,
% 7.57/5.36 ((~xuntil6(s146)) | until5(s147)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9711, 9669, 370])).
% 7.57/5.36 tff(9713,plain,
% 7.57/5.36 (until5(s147)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9712, 9708])).
% 7.57/5.36 tff(9714,assumption,(node4(s147)), introduced(assumption)).
% 7.57/5.36 tff(9715,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9716,plain,
% 7.57/5.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s147) | (~node4(s147)))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9717,plain,
% 7.57/5.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s147) | (~node4(s147))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9716, 9715])).
% 7.57/5.36 tff(9718,plain,
% 7.57/5.36 (m_main_v_request(s147)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9717, 28, 9714])).
% 7.57/5.36 tff(9719,plain,
% 7.57/5.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s147) | (~node4(s147)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s147) | (~node4(s147)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9720,plain,
% 7.57/5.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s147) | (~node4(s147)))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9721,plain,
% 7.57/5.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s147) | (~node4(s147))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9720, 9719])).
% 7.57/5.36 tff(9722,plain,
% 7.57/5.36 (always3(s147)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9721, 16, 9714])).
% 7.57/5.36 tff(9723,plain,
% 7.57/5.36 (succ(s147, s148) <=> succ(s147, s148)),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9724,axiom,(succ(s147, s148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound148')).
% 7.57/5.36 tff(9725,plain,
% 7.57/5.36 (succ(s147, s148)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9724, 9723])).
% 7.57/5.36 tff(9726,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9727,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9728,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9727, 9726])).
% 7.57/5.36 tff(9729,plain,
% 7.57/5.36 (trans(s147, s148)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9728, 9725, 39])).
% 7.57/5.36 tff(9730,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9731,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s147, s148)) | (~always3(s147)) | always3(s148))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9732,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s147, s148)) | (~always3(s147)) | always3(s148)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9731, 9730])).
% 7.57/5.36 tff(9733,plain,
% 7.57/5.36 ((~always3(s147)) | always3(s148)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9732, 112, 9729])).
% 7.57/5.36 tff(9734,plain,
% 7.57/5.36 (always3(s148)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9733, 9722])).
% 7.57/5.36 tff(9735,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9736,plain,
% 7.57/5.36 (((~m_main_v_state(s148, c_busy)) | (~always3(s148))) <=> ((~always3(s148)) | (~m_main_v_state(s148, c_busy)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9737,plain,
% 7.57/5.36 (((~![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))))),
% 7.57/5.36 inference(monotonicity,[status(thm)],[9736])).
% 7.57/5.36 tff(9738,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(transitivity,[status(thm)],[9737, 9735])).
% 7.57/5.36 tff(9739,plain,
% 7.57/5.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s148, c_busy)) | (~always3(s148)))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9740,plain,
% 7.57/5.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s148)) | (~m_main_v_state(s148, c_busy))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9739, 9738])).
% 7.57/5.36 tff(9741,plain,
% 7.57/5.36 (~m_main_v_state(s148, c_busy)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9740, 72, 9734])).
% 7.57/5.36 tff(9742,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9743,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s147, s148)) | node2(s147, s148))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9744,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s147, s148)) | node2(s147, s148)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 7.57/5.36 tff(9745,plain,
% 7.57/5.36 (node2(s147, s148)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9744, 7, 9729])).
% 7.57/5.36 tff(9746,plain,
% 7.57/5.36 (((~![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(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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9747,plain,
% 7.57/5.36 ((~![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(s147, c_ready)) | (~node2(s147, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147)))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9748,plain,
% 7.57/5.36 ((~![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(s147, c_ready)) | (~node2(s147, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 7.57/5.36 tff(9749,plain,
% 7.57/5.36 ((~m_main_v_state(s147, c_ready)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147))),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9748, 60, 9745])).
% 7.57/5.36 tff(9750,plain,
% 7.57/5.36 (~m_main_v_state(s147, c_ready)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9749, 9741, 9718])).
% 7.57/5.36 tff(9751,plain,
% 7.57/5.36 (~m_main_v_state(s147, c_busy)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9684, 72, 9722])).
% 7.57/5.36 tff(9752,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9753,plain,
% 7.57/5.36 ((~![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))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9754,plain,
% 7.57/5.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s147, c_busy) | m_main_v_state(s147, c_ready)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9753, 9752])).
% 7.57/5.36 tff(9755,plain,
% 7.57/5.36 ($false),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9754, 89, 9751, 9750])).
% 7.57/5.36 tff(9756,plain,(~node4(s147)), inference(lemma,lemma(discharge,[]))).
% 7.57/5.36 tff(9757,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9758,plain,
% 7.57/5.36 ((node4(s147) | (~until5(s147)) | xuntil6(s147)) <=> (xuntil6(s147) | node4(s147) | (~until5(s147)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9759,plain,
% 7.57/5.36 (((~![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))))),
% 7.57/5.36 inference(monotonicity,[status(thm)],[9758])).
% 7.57/5.36 tff(9760,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(transitivity,[status(thm)],[9759, 9757])).
% 7.57/5.36 tff(9761,plain,
% 7.57/5.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s147) | (~until5(s147)) | xuntil6(s147))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9762,plain,
% 7.57/5.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s147) | node4(s147) | (~until5(s147))),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9761, 9760])).
% 7.57/5.36 tff(9763,plain,
% 7.57/5.36 (xuntil6(s147) | (~until5(s147))),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9762, 352, 9756])).
% 7.57/5.36 tff(9764,plain,
% 7.57/5.36 (xuntil6(s147)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9763, 9713])).
% 7.57/5.36 tff(9765,plain,
% 7.57/5.36 (((~![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))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.36 tff(9766,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s147, s148)) | (~xuntil6(s147)) | until5(s148))),
% 7.57/5.36 inference(quant_inst,[status(thm)],[])).
% 7.57/5.36 tff(9767,plain,
% 7.57/5.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s147, s148)) | (~xuntil6(s147)) | until5(s148)),
% 7.57/5.36 inference(modus_ponens,[status(thm)],[9766, 9765])).
% 7.57/5.36 tff(9768,plain,
% 7.57/5.36 ((~xuntil6(s147)) | until5(s148)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9767, 9725, 370])).
% 7.57/5.36 tff(9769,plain,
% 7.57/5.36 (until5(s148)),
% 7.57/5.36 inference(unit_resolution,[status(thm)],[9768, 9764])).
% 7.57/5.36 tff(9770,assumption,(node4(s148)), introduced(assumption)).
% 7.57/5.36 tff(9771,plain,
% 7.57/5.36 (((~![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)))),
% 7.57/5.36 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9772,plain,
% 7.57/5.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s148) | (~node4(s148)))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9773,plain,
% 7.57/5.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s148) | (~node4(s148))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9772, 9771])).
% 7.57/5.37 tff(9774,plain,
% 7.57/5.37 (m_main_v_request(s148)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9773, 28, 9770])).
% 7.57/5.37 tff(9775,plain,
% 7.57/5.37 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s148) | (~node4(s148)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s148) | (~node4(s148)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9776,plain,
% 7.57/5.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s148) | (~node4(s148)))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9777,plain,
% 7.57/5.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s148) | (~node4(s148))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9776, 9775])).
% 7.57/5.37 tff(9778,plain,
% 7.57/5.37 (always3(s148)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9777, 16, 9770])).
% 7.57/5.37 tff(9779,plain,
% 7.57/5.37 (succ(s148, s149) <=> succ(s148, s149)),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9780,axiom,(succ(s148, s149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound149')).
% 7.57/5.37 tff(9781,plain,
% 7.57/5.37 (succ(s148, s149)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9780, 9779])).
% 7.57/5.37 tff(9782,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9783,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9784,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9783, 9782])).
% 7.57/5.37 tff(9785,plain,
% 7.57/5.37 (trans(s148, s149)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9784, 9781, 39])).
% 7.57/5.37 tff(9786,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9787,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s148, s149)) | (~always3(s148)) | always3(s149))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9788,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s148, s149)) | (~always3(s148)) | always3(s149)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 7.57/5.37 tff(9789,plain,
% 7.57/5.37 ((~always3(s148)) | always3(s149)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9788, 112, 9785])).
% 7.57/5.37 tff(9790,plain,
% 7.57/5.37 (always3(s149)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9789, 9778])).
% 7.57/5.37 tff(9791,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9792,plain,
% 7.57/5.37 (((~m_main_v_state(s149, c_busy)) | (~always3(s149))) <=> ((~always3(s149)) | (~m_main_v_state(s149, c_busy)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9793,plain,
% 7.57/5.37 (((~![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))))),
% 7.57/5.37 inference(monotonicity,[status(thm)],[9792])).
% 7.57/5.37 tff(9794,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(transitivity,[status(thm)],[9793, 9791])).
% 7.57/5.37 tff(9795,plain,
% 7.57/5.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s149, c_busy)) | (~always3(s149)))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9796,plain,
% 7.57/5.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s149)) | (~m_main_v_state(s149, c_busy))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9795, 9794])).
% 7.57/5.37 tff(9797,plain,
% 7.57/5.37 (~m_main_v_state(s149, c_busy)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9796, 72, 9790])).
% 7.57/5.37 tff(9798,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9799,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s148, s149)) | node2(s148, s149))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9800,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s148, s149)) | node2(s148, s149)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9799, 9798])).
% 7.57/5.37 tff(9801,plain,
% 7.57/5.37 (node2(s148, s149)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9800, 7, 9785])).
% 7.57/5.37 tff(9802,plain,
% 7.57/5.37 (((~![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(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)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9803,plain,
% 7.57/5.37 ((~![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(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148)))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9804,plain,
% 7.57/5.37 ((~![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(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9803, 9802])).
% 7.57/5.37 tff(9805,plain,
% 7.57/5.37 ((~m_main_v_state(s148, c_ready)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148))),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9804, 60, 9801])).
% 7.57/5.37 tff(9806,plain,
% 7.57/5.37 (~m_main_v_state(s148, c_ready)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9805, 9797, 9774])).
% 7.57/5.37 tff(9807,plain,
% 7.57/5.37 (~m_main_v_state(s148, c_busy)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9740, 72, 9778])).
% 7.57/5.37 tff(9808,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9809,plain,
% 7.57/5.37 ((~![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))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9810,plain,
% 7.57/5.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s148, c_busy) | m_main_v_state(s148, c_ready)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9809, 9808])).
% 7.57/5.37 tff(9811,plain,
% 7.57/5.37 ($false),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9810, 89, 9807, 9806])).
% 7.57/5.37 tff(9812,plain,(~node4(s148)), inference(lemma,lemma(discharge,[]))).
% 7.57/5.37 tff(9813,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9814,plain,
% 7.57/5.37 ((node4(s148) | (~until5(s148)) | xuntil6(s148)) <=> (xuntil6(s148) | node4(s148) | (~until5(s148)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9815,plain,
% 7.57/5.37 (((~![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))))),
% 7.57/5.37 inference(monotonicity,[status(thm)],[9814])).
% 7.57/5.37 tff(9816,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(transitivity,[status(thm)],[9815, 9813])).
% 7.57/5.37 tff(9817,plain,
% 7.57/5.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s148) | (~until5(s148)) | xuntil6(s148))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9818,plain,
% 7.57/5.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s148) | node4(s148) | (~until5(s148))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9817, 9816])).
% 7.57/5.37 tff(9819,plain,
% 7.57/5.37 (xuntil6(s148) | (~until5(s148))),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9818, 352, 9812])).
% 7.57/5.37 tff(9820,plain,
% 7.57/5.37 (xuntil6(s148)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9819, 9769])).
% 7.57/5.37 tff(9821,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9822,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9823,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9822, 9821])).
% 7.57/5.37 tff(9824,plain,
% 7.57/5.37 ((~xuntil6(s148)) | until5(s149)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9823, 9781, 370])).
% 7.57/5.37 tff(9825,plain,
% 7.57/5.37 (until5(s149)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9824, 9820])).
% 7.57/5.37 tff(9826,assumption,(node4(s149)), introduced(assumption)).
% 7.57/5.37 tff(9827,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9828,plain,
% 7.57/5.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s149) | (~node4(s149)))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9829,plain,
% 7.57/5.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s149) | (~node4(s149))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9828, 9827])).
% 7.57/5.37 tff(9830,plain,
% 7.57/5.37 (m_main_v_request(s149)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9829, 28, 9826])).
% 7.57/5.37 tff(9831,plain,
% 7.57/5.37 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s149) | (~node4(s149)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s149) | (~node4(s149)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9832,plain,
% 7.57/5.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s149) | (~node4(s149)))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9833,plain,
% 7.57/5.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s149) | (~node4(s149))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9832, 9831])).
% 7.57/5.37 tff(9834,plain,
% 7.57/5.37 (always3(s149)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9833, 16, 9826])).
% 7.57/5.37 tff(9835,plain,
% 7.57/5.37 (succ(s149, s150) <=> succ(s149, s150)),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9836,axiom,(succ(s149, s150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound150')).
% 7.57/5.37 tff(9837,plain,
% 7.57/5.37 (succ(s149, s150)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9836, 9835])).
% 7.57/5.37 tff(9838,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9839,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9840,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9839, 9838])).
% 7.57/5.37 tff(9841,plain,
% 7.57/5.37 (trans(s149, s150)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9840, 9837, 39])).
% 7.57/5.37 tff(9842,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9843,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s149, s150)) | (~always3(s149)) | always3(s150))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9844,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s149, s150)) | (~always3(s149)) | always3(s150)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9843, 9842])).
% 7.57/5.37 tff(9845,plain,
% 7.57/5.37 ((~always3(s149)) | always3(s150)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9844, 112, 9841])).
% 7.57/5.37 tff(9846,plain,
% 7.57/5.37 (always3(s150)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9845, 9834])).
% 7.57/5.37 tff(9847,plain,
% 7.57/5.37 (~m_main_v_state(s150, c_busy)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[199, 72, 9846])).
% 7.57/5.37 tff(9848,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9849,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s149, s150)) | node2(s149, s150))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9850,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s149, s150)) | node2(s149, s150)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9849, 9848])).
% 7.57/5.37 tff(9851,plain,
% 7.57/5.37 (node2(s149, s150)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9850, 7, 9841])).
% 7.57/5.37 tff(9852,plain,
% 7.57/5.37 (((~![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(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)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9853,plain,
% 7.57/5.37 ((~![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(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149)))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9854,plain,
% 7.57/5.37 ((~![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(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9853, 9852])).
% 7.57/5.37 tff(9855,plain,
% 7.57/5.37 ((~m_main_v_state(s149, c_ready)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149))),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9854, 60, 9851])).
% 7.57/5.37 tff(9856,plain,
% 7.57/5.37 (~m_main_v_state(s149, c_ready)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9855, 9847, 9830])).
% 7.57/5.37 tff(9857,plain,
% 7.57/5.37 (~m_main_v_state(s149, c_busy)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9796, 72, 9834])).
% 7.57/5.37 tff(9858,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9859,plain,
% 7.57/5.37 ((~![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))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9860,plain,
% 7.57/5.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s149, c_busy) | m_main_v_state(s149, c_ready)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9859, 9858])).
% 7.57/5.37 tff(9861,plain,
% 7.57/5.37 ($false),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9860, 89, 9857, 9856])).
% 7.57/5.37 tff(9862,plain,(~node4(s149)), inference(lemma,lemma(discharge,[]))).
% 7.57/5.37 tff(9863,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9864,plain,
% 7.57/5.37 ((node4(s149) | (~until5(s149)) | xuntil6(s149)) <=> (xuntil6(s149) | node4(s149) | (~until5(s149)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9865,plain,
% 7.57/5.37 (((~![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))))),
% 7.57/5.37 inference(monotonicity,[status(thm)],[9864])).
% 7.57/5.37 tff(9866,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(transitivity,[status(thm)],[9865, 9863])).
% 7.57/5.37 tff(9867,plain,
% 7.57/5.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s149) | (~until5(s149)) | xuntil6(s149))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9868,plain,
% 7.57/5.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s149) | node4(s149) | (~until5(s149))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9867, 9866])).
% 7.57/5.37 tff(9869,plain,
% 7.57/5.37 (xuntil6(s149) | (~until5(s149))),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9868, 352, 9862])).
% 7.57/5.37 tff(9870,plain,
% 7.57/5.37 (xuntil6(s149)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9869, 9825])).
% 7.57/5.37 tff(9871,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9872,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9873,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9872, 9871])).
% 7.57/5.37 tff(9874,plain,
% 7.57/5.37 ((~xuntil6(s149)) | until5(s150)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9873, 9837, 370])).
% 7.57/5.37 tff(9875,plain,
% 7.57/5.37 (until5(s150)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9874, 9870])).
% 7.57/5.37 tff(9876,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9877,plain,
% 7.57/5.37 ((node4(s150) | (~until5(s150)) | xuntil6(s150)) <=> (xuntil6(s150) | node4(s150) | (~until5(s150)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9878,plain,
% 7.57/5.37 (((~![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))))),
% 7.57/5.37 inference(monotonicity,[status(thm)],[9877])).
% 7.57/5.37 tff(9879,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(transitivity,[status(thm)],[9878, 9876])).
% 7.57/5.37 tff(9880,plain,
% 7.57/5.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s150) | (~until5(s150)) | xuntil6(s150))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9881,plain,
% 7.57/5.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s150) | node4(s150) | (~until5(s150))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9880, 9879])).
% 7.57/5.37 tff(9882,plain,
% 7.57/5.37 (xuntil6(s150)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9881, 352, 9875, 220])).
% 7.57/5.37 tff(9883,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9884,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9885,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9884, 9883])).
% 7.57/5.37 tff(9886,plain,
% 7.57/5.37 ((~xuntil6(s150)) | until5(s151)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9885, 176, 370])).
% 7.57/5.37 tff(9887,plain,
% 7.57/5.37 (until5(s151)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9886, 9882])).
% 7.57/5.37 tff(9888,assumption,(node4(s151)), introduced(assumption)).
% 7.57/5.37 tff(9889,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9890,plain,
% 7.57/5.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s151) | (~node4(s151)))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9891,plain,
% 7.57/5.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s151) | (~node4(s151))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9890, 9889])).
% 7.57/5.37 tff(9892,plain,
% 7.57/5.37 (m_main_v_request(s151)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9891, 28, 9888])).
% 7.57/5.37 tff(9893,plain,
% 7.57/5.37 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s151) | (~node4(s151)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s151) | (~node4(s151)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9894,plain,
% 7.57/5.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s151) | (~node4(s151)))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9895,plain,
% 7.57/5.37 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s151) | (~node4(s151))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9894, 9893])).
% 7.57/5.37 tff(9896,plain,
% 7.57/5.37 (always3(s151)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9895, 16, 9888])).
% 7.57/5.37 tff(9897,plain,
% 7.57/5.37 (succ(s151, s152) <=> succ(s151, s152)),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9898,axiom,(succ(s151, s152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound152')).
% 7.57/5.37 tff(9899,plain,
% 7.57/5.37 (succ(s151, s152)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 7.57/5.37 tff(9900,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9901,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9902,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9901, 9900])).
% 7.57/5.37 tff(9903,plain,
% 7.57/5.37 (trans(s151, s152)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9902, 9899, 39])).
% 7.57/5.37 tff(9904,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9905,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s151, s152)) | (~always3(s151)) | always3(s152))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9906,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s151, s152)) | (~always3(s151)) | always3(s152)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9905, 9904])).
% 7.57/5.37 tff(9907,plain,
% 7.57/5.37 ((~always3(s151)) | always3(s152)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9906, 112, 9903])).
% 7.57/5.37 tff(9908,plain,
% 7.57/5.37 (always3(s152)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9907, 9896])).
% 7.57/5.37 tff(9909,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9910,plain,
% 7.57/5.37 (((~m_main_v_state(s152, c_busy)) | (~always3(s152))) <=> ((~always3(s152)) | (~m_main_v_state(s152, c_busy)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9911,plain,
% 7.57/5.37 (((~![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))))),
% 7.57/5.37 inference(monotonicity,[status(thm)],[9910])).
% 7.57/5.37 tff(9912,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(transitivity,[status(thm)],[9911, 9909])).
% 7.57/5.37 tff(9913,plain,
% 7.57/5.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s152, c_busy)) | (~always3(s152)))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9914,plain,
% 7.57/5.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s152)) | (~m_main_v_state(s152, c_busy))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9913, 9912])).
% 7.57/5.37 tff(9915,plain,
% 7.57/5.37 (~m_main_v_state(s152, c_busy)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9914, 72, 9908])).
% 7.57/5.37 tff(9916,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9917,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s151, s152)) | node2(s151, s152))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9918,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s151, s152)) | node2(s151, s152)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9917, 9916])).
% 7.57/5.37 tff(9919,plain,
% 7.57/5.37 (node2(s151, s152)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9918, 7, 9903])).
% 7.57/5.37 tff(9920,plain,
% 7.57/5.37 (((~![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(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)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9921,plain,
% 7.57/5.37 ((~![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(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151)))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9922,plain,
% 7.57/5.37 ((~![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(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9921, 9920])).
% 7.57/5.37 tff(9923,plain,
% 7.57/5.37 ((~m_main_v_state(s151, c_ready)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151))),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9922, 60, 9919])).
% 7.57/5.37 tff(9924,plain,
% 7.57/5.37 (~m_main_v_state(s151, c_ready)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9923, 9915, 9892])).
% 7.57/5.37 tff(9925,plain,
% 7.57/5.37 (~m_main_v_state(s151, c_busy)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[212, 72, 9896])).
% 7.57/5.37 tff(9926,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9927,plain,
% 7.57/5.37 ((~![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))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9928,plain,
% 7.57/5.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s151, c_busy) | m_main_v_state(s151, c_ready)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9927, 9926])).
% 7.57/5.37 tff(9929,plain,
% 7.57/5.37 ($false),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9928, 89, 9925, 9924])).
% 7.57/5.37 tff(9930,plain,(~node4(s151)), inference(lemma,lemma(discharge,[]))).
% 7.57/5.37 tff(9931,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9932,plain,
% 7.57/5.37 ((node4(s151) | (~until5(s151)) | xuntil6(s151)) <=> (xuntil6(s151) | node4(s151) | (~until5(s151)))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9933,plain,
% 7.57/5.37 (((~![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))))),
% 7.57/5.37 inference(monotonicity,[status(thm)],[9932])).
% 7.57/5.37 tff(9934,plain,
% 7.57/5.37 (((~![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)))),
% 7.57/5.37 inference(transitivity,[status(thm)],[9933, 9931])).
% 7.57/5.37 tff(9935,plain,
% 7.57/5.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s151) | (~until5(s151)) | xuntil6(s151))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9936,plain,
% 7.57/5.37 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s151) | node4(s151) | (~until5(s151))),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9935, 9934])).
% 7.57/5.37 tff(9937,plain,
% 7.57/5.37 (xuntil6(s151) | (~until5(s151))),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9936, 352, 9930])).
% 7.57/5.37 tff(9938,plain,
% 7.57/5.37 (xuntil6(s151)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9937, 9887])).
% 7.57/5.37 tff(9939,plain,
% 7.57/5.37 (((~![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))),
% 7.57/5.37 inference(rewrite,[status(thm)],[])).
% 7.57/5.37 tff(9940,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152))),
% 7.57/5.37 inference(quant_inst,[status(thm)],[])).
% 7.57/5.37 tff(9941,plain,
% 7.57/5.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152)),
% 7.57/5.37 inference(modus_ponens,[status(thm)],[9940, 9939])).
% 7.57/5.37 tff(9942,plain,
% 7.57/5.37 ((~xuntil6(s151)) | until5(s152)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9941, 9899, 370])).
% 7.57/5.37 tff(9943,plain,
% 7.57/5.37 (until5(s152)),
% 7.57/5.37 inference(unit_resolution,[status(thm)],[9942, 9938])).
% 7.57/5.37 tff(9944,assumption,(node4(s152)), introduced(assumption)).
% 7.57/5.37 tff(9945,plain,
% 7.57/5.38 (((~![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)))),
% 7.57/5.38 inference(rewrite,[status(thm)],[])).
% 7.57/5.38 tff(9946,plain,
% 7.57/5.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s152) | (~node4(s152)))),
% 7.57/5.38 inference(quant_inst,[status(thm)],[])).
% 7.57/5.38 tff(9947,plain,
% 7.57/5.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s152) | (~node4(s152))),
% 7.57/5.38 inference(modus_ponens,[status(thm)],[9946, 9945])).
% 7.57/5.38 tff(9948,plain,
% 7.57/5.38 (m_main_v_request(s152)),
% 7.57/5.38 inference(unit_resolution,[status(thm)],[9947, 28, 9944])).
% 7.57/5.38 tff(9949,plain,
% 7.57/5.38 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s152) | (~node4(s152)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s152) | (~node4(s152)))),
% 7.57/5.38 inference(rewrite,[status(thm)],[])).
% 7.57/5.38 tff(9950,plain,
% 7.57/5.38 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s152) | (~node4(s152)))),
% 7.57/5.38 inference(quant_inst,[status(thm)],[])).
% 7.57/5.38 tff(9951,plain,
% 7.57/5.38 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s152) | (~node4(s152))),
% 7.57/5.38 inference(modus_ponens,[status(thm)],[9950, 9949])).
% 7.57/5.38 tff(9952,plain,
% 7.57/5.38 (always3(s152)),
% 7.57/5.38 inference(unit_resolution,[status(thm)],[9951, 16, 9944])).
% 7.57/5.38 tff(9953,plain,
% 7.57/5.38 (succ(s152, s153) <=> succ(s152, s153)),
% 7.57/5.38 inference(rewrite,[status(thm)],[])).
% 7.57/5.38 tff(9954,axiom,(succ(s152, s153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound153')).
% 7.57/5.38 tff(9955,plain,
% 7.57/5.38 (succ(s152, s153)),
% 7.57/5.38 inference(modus_ponens,[status(thm)],[9954, 9953])).
% 7.57/5.38 tff(9956,plain,
% 7.57/5.38 (((~![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))),
% 7.57/5.38 inference(rewrite,[status(thm)],[])).
% 7.57/5.38 tff(9957,plain,
% 7.57/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))),
% 7.57/5.38 inference(quant_inst,[status(thm)],[])).
% 7.57/5.38 tff(9958,plain,
% 7.57/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153)),
% 7.57/5.38 inference(modus_ponens,[status(thm)],[9957, 9956])).
% 7.57/5.38 tff(9959,plain,
% 7.57/5.38 (trans(s152, s153)),
% 7.57/5.38 inference(unit_resolution,[status(thm)],[9958, 9955, 39])).
% 7.57/5.38 tff(9960,plain,
% 7.57/5.38 (((~![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))),
% 7.57/5.38 inference(rewrite,[status(thm)],[])).
% 7.57/5.38 tff(9961,plain,
% 7.57/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s152, s153)) | (~always3(s152)) | always3(s153))),
% 7.57/5.38 inference(quant_inst,[status(thm)],[])).
% 7.57/5.38 tff(9962,plain,
% 7.57/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s152, s153)) | (~always3(s152)) | always3(s153)),
% 7.57/5.38 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 7.57/5.38 tff(9963,plain,
% 7.57/5.38 ((~always3(s152)) | always3(s153)),
% 7.57/5.38 inference(unit_resolution,[status(thm)],[9962, 112, 9959])).
% 7.57/5.38 tff(9964,plain,
% 7.57/5.38 (always3(s153)),
% 7.57/5.38 inference(unit_resolution,[status(thm)],[9963, 9952])).
% 7.57/5.38 tff(9965,plain,
% 7.57/5.38 (((~![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)))),
% 7.57/5.38 inference(rewrite,[status(thm)],[])).
% 7.57/5.38 tff(9966,plain,
% 7.57/5.38 (((~m_main_v_state(s153, c_busy)) | (~always3(s153))) <=> ((~always3(s153)) | (~m_main_v_state(s153, c_busy)))),
% 7.57/5.38 inference(rewrite,[status(thm)],[])).
% 7.57/5.38 tff(9967,plain,
% 7.57/5.38 (((~![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))))),
% 7.57/5.38 inference(monotonicity,[status(thm)],[9966])).
% 7.57/5.38 tff(9968,plain,
% 7.57/5.38 (((~![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)))),
% 7.57/5.38 inference(transitivity,[status(thm)],[9967, 9965])).
% 7.57/5.38 tff(9969,plain,
% 7.57/5.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s153, c_busy)) | (~always3(s153)))),
% 7.57/5.38 inference(quant_inst,[status(thm)],[])).
% 7.57/5.38 tff(9970,plain,
% 7.57/5.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s153)) | (~m_main_v_state(s153, c_busy))),
% 7.57/5.38 inference(modus_ponens,[status(thm)],[9969, 9968])).
% 7.57/5.38 tff(9971,plain,
% 7.57/5.38 (~m_main_v_state(s153, c_busy)),
% 7.57/5.38 inference(unit_resolution,[status(thm)],[9970, 72, 9964])).
% 7.57/5.38 tff(9972,plain,
% 7.57/5.38 (((~![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))),
% 7.57/5.38 inference(rewrite,[status(thm)],[])).
% 7.57/5.38 tff(9973,plain,
% 7.57/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s152, s153)) | node2(s152, s153))),
% 7.57/5.38 inference(quant_inst,[status(thm)],[])).
% 7.57/5.38 tff(9974,plain,
% 7.57/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s152, s153)) | node2(s152, s153)),
% 7.57/5.38 inference(modus_ponens,[status(thm)],[9973, 9972])).
% 7.57/5.38 tff(9975,plain,
% 7.57/5.38 (node2(s152, s153)),
% 7.57/5.38 inference(unit_resolution,[status(thm)],[9974, 7, 9959])).
% 7.57/5.38 tff(9976,plain,
% 7.57/5.38 (((~![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(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)))),
% 7.57/5.38 inference(rewrite,[status(thm)],[])).
% 7.57/5.38 tff(9977,plain,
% 7.57/5.38 ((~![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(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152)))),
% 7.57/5.38 inference(quant_inst,[status(thm)],[])).
% 7.57/5.38 tff(9978,plain,
% 7.57/5.38 ((~![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(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152))),
% 7.57/5.38 inference(modus_ponens,[status(thm)],[9977, 9976])).
% 7.57/5.38 tff(9979,plain,
% 7.57/5.38 ((~m_main_v_state(s152, c_ready)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152))),
% 7.57/5.38 inference(unit_resolution,[status(thm)],[9978, 60, 9975])).
% 7.57/5.38 tff(9980,plain,
% 7.57/5.38 (~m_main_v_state(s152, c_ready)),
% 7.57/5.38 inference(unit_resolution,[status(thm)],[9979, 9971, 9948])).
% 7.57/5.38 tff(9981,plain,
% 7.57/5.38 (~m_main_v_state(s152, c_busy)),
% 7.57/5.38 inference(unit_resolution,[status(thm)],[9914, 72, 9952])).
% 7.57/5.38 tff(9982,plain,
% 7.57/5.38 (((~![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))),
% 7.57/5.38 inference(rewrite,[status(thm)],[])).
% 7.57/5.38 tff(9983,plain,
% 7.57/5.38 ((~![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))),
% 7.57/5.38 inference(quant_inst,[status(thm)],[])).
% 7.57/5.38 tff(9984,plain,
% 7.57/5.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s152, c_busy) | m_main_v_state(s152, c_ready)),
% 7.57/5.38 inference(modus_ponens,[status(thm)],[9983, 9982])).
% 7.57/5.38 tff(9985,plain,
% 7.57/5.38 ($false),
% 7.57/5.38 inference(unit_resolution,[status(thm)],[9984, 89, 9981, 9980])).
% 7.57/5.38 tff(9986,plain,(~node4(s152)), inference(lemma,lemma(discharge,[]))).
% 7.57/5.38 tff(9987,plain,
% 7.57/5.38 (((~![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)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(9988,plain,
% 7.60/5.38 ((node4(s152) | (~until5(s152)) | xuntil6(s152)) <=> (xuntil6(s152) | node4(s152) | (~until5(s152)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(9989,plain,
% 7.60/5.38 (((~![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))))),
% 7.60/5.38 inference(monotonicity,[status(thm)],[9988])).
% 7.60/5.38 tff(9990,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(transitivity,[status(thm)],[9989, 9987])).
% 7.60/5.38 tff(9991,plain,
% 7.60/5.38 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s152) | (~until5(s152)) | xuntil6(s152))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(9992,plain,
% 7.60/5.38 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s152) | node4(s152) | (~until5(s152))),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[9991, 9990])).
% 7.60/5.38 tff(9993,plain,
% 7.60/5.38 (xuntil6(s152) | (~until5(s152))),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[9992, 352, 9986])).
% 7.60/5.38 tff(9994,plain,
% 7.60/5.38 (xuntil6(s152)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[9993, 9943])).
% 7.60/5.38 tff(9995,plain,
% 7.60/5.38 (((~![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))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(9996,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(9997,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[9996, 9995])).
% 7.60/5.38 tff(9998,plain,
% 7.60/5.38 ((~xuntil6(s152)) | until5(s153)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[9997, 9955, 370])).
% 7.60/5.38 tff(9999,plain,
% 7.60/5.38 (until5(s153)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[9998, 9994])).
% 7.60/5.38 tff(10000,assumption,(node4(s153)), introduced(assumption)).
% 7.60/5.38 tff(10001,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10002,plain,
% 7.60/5.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s153) | (~node4(s153)))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10003,plain,
% 7.60/5.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s153) | (~node4(s153))),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10002, 10001])).
% 7.60/5.38 tff(10004,plain,
% 7.60/5.38 (m_main_v_request(s153)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10003, 28, 10000])).
% 7.60/5.38 tff(10005,plain,
% 7.60/5.38 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s153) | (~node4(s153)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s153) | (~node4(s153)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10006,plain,
% 7.60/5.38 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s153) | (~node4(s153)))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10007,plain,
% 7.60/5.38 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s153) | (~node4(s153))),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10006, 10005])).
% 7.60/5.38 tff(10008,plain,
% 7.60/5.38 (always3(s153)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10007, 16, 10000])).
% 7.60/5.38 tff(10009,plain,
% 7.60/5.38 (succ(s153, s154) <=> succ(s153, s154)),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10010,axiom,(succ(s153, s154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound154')).
% 7.60/5.38 tff(10011,plain,
% 7.60/5.38 (succ(s153, s154)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10010, 10009])).
% 7.60/5.38 tff(10012,plain,
% 7.60/5.38 (((~![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))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10013,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10014,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 7.60/5.38 tff(10015,plain,
% 7.60/5.38 (trans(s153, s154)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10014, 10011, 39])).
% 7.60/5.38 tff(10016,plain,
% 7.60/5.38 (((~![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))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10017,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s153, s154)) | (~always3(s153)) | always3(s154))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10018,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s153, s154)) | (~always3(s153)) | always3(s154)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10017, 10016])).
% 7.60/5.38 tff(10019,plain,
% 7.60/5.38 ((~always3(s153)) | always3(s154)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10018, 112, 10015])).
% 7.60/5.38 tff(10020,plain,
% 7.60/5.38 (always3(s154)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10019, 10008])).
% 7.60/5.38 tff(10021,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10022,plain,
% 7.60/5.38 (((~m_main_v_state(s154, c_busy)) | (~always3(s154))) <=> ((~always3(s154)) | (~m_main_v_state(s154, c_busy)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10023,plain,
% 7.60/5.38 (((~![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))))),
% 7.60/5.38 inference(monotonicity,[status(thm)],[10022])).
% 7.60/5.38 tff(10024,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(transitivity,[status(thm)],[10023, 10021])).
% 7.60/5.38 tff(10025,plain,
% 7.60/5.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s154, c_busy)) | (~always3(s154)))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10026,plain,
% 7.60/5.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s154)) | (~m_main_v_state(s154, c_busy))),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10025, 10024])).
% 7.60/5.38 tff(10027,plain,
% 7.60/5.38 (~m_main_v_state(s154, c_busy)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10026, 72, 10020])).
% 7.60/5.38 tff(10028,plain,
% 7.60/5.38 (((~![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))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10029,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s153, s154)) | node2(s153, s154))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10030,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s153, s154)) | node2(s153, s154)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 7.60/5.38 tff(10031,plain,
% 7.60/5.38 (node2(s153, s154)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10030, 7, 10015])).
% 7.60/5.38 tff(10032,plain,
% 7.60/5.38 (((~![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(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)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10033,plain,
% 7.60/5.38 ((~![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(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153)))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10034,plain,
% 7.60/5.38 ((~![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(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153))),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10033, 10032])).
% 7.60/5.38 tff(10035,plain,
% 7.60/5.38 ((~m_main_v_state(s153, c_ready)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153))),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10034, 60, 10031])).
% 7.60/5.38 tff(10036,plain,
% 7.60/5.38 (~m_main_v_state(s153, c_ready)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10035, 10027, 10004])).
% 7.60/5.38 tff(10037,plain,
% 7.60/5.38 (~m_main_v_state(s153, c_busy)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[9970, 72, 10008])).
% 7.60/5.38 tff(10038,plain,
% 7.60/5.38 (((~![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))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10039,plain,
% 7.60/5.38 ((~![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))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10040,plain,
% 7.60/5.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s153, c_busy) | m_main_v_state(s153, c_ready)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10039, 10038])).
% 7.60/5.38 tff(10041,plain,
% 7.60/5.38 ($false),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10040, 89, 10037, 10036])).
% 7.60/5.38 tff(10042,plain,(~node4(s153)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.38 tff(10043,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10044,plain,
% 7.60/5.38 ((node4(s153) | (~until5(s153)) | xuntil6(s153)) <=> (xuntil6(s153) | node4(s153) | (~until5(s153)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10045,plain,
% 7.60/5.38 (((~![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))))),
% 7.60/5.38 inference(monotonicity,[status(thm)],[10044])).
% 7.60/5.38 tff(10046,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(transitivity,[status(thm)],[10045, 10043])).
% 7.60/5.38 tff(10047,plain,
% 7.60/5.38 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s153) | (~until5(s153)) | xuntil6(s153))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10048,plain,
% 7.60/5.38 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s153) | node4(s153) | (~until5(s153))),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10047, 10046])).
% 7.60/5.38 tff(10049,plain,
% 7.60/5.38 (xuntil6(s153) | (~until5(s153))),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10048, 352, 10042])).
% 7.60/5.38 tff(10050,plain,
% 7.60/5.38 (xuntil6(s153)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10049, 9999])).
% 7.60/5.38 tff(10051,plain,
% 7.60/5.38 (((~![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))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10052,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10053,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10052, 10051])).
% 7.60/5.38 tff(10054,plain,
% 7.60/5.38 ((~xuntil6(s153)) | until5(s154)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10053, 10011, 370])).
% 7.60/5.38 tff(10055,plain,
% 7.60/5.38 (until5(s154)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10054, 10050])).
% 7.60/5.38 tff(10056,assumption,(node4(s154)), introduced(assumption)).
% 7.60/5.38 tff(10057,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10058,plain,
% 7.60/5.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s154) | (~node4(s154)))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10059,plain,
% 7.60/5.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s154) | (~node4(s154))),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10058, 10057])).
% 7.60/5.38 tff(10060,plain,
% 7.60/5.38 (m_main_v_request(s154)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10059, 28, 10056])).
% 7.60/5.38 tff(10061,plain,
% 7.60/5.38 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s154) | (~node4(s154)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s154) | (~node4(s154)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10062,plain,
% 7.60/5.38 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s154) | (~node4(s154)))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10063,plain,
% 7.60/5.38 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s154) | (~node4(s154))),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10062, 10061])).
% 7.60/5.38 tff(10064,plain,
% 7.60/5.38 (always3(s154)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10063, 16, 10056])).
% 7.60/5.38 tff(10065,plain,
% 7.60/5.38 (succ(s154, s155) <=> succ(s154, s155)),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10066,axiom,(succ(s154, s155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound155')).
% 7.60/5.38 tff(10067,plain,
% 7.60/5.38 (succ(s154, s155)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10066, 10065])).
% 7.60/5.38 tff(10068,plain,
% 7.60/5.38 (((~![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))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10069,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10070,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10069, 10068])).
% 7.60/5.38 tff(10071,plain,
% 7.60/5.38 (trans(s154, s155)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10070, 10067, 39])).
% 7.60/5.38 tff(10072,plain,
% 7.60/5.38 (((~![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))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10073,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s154, s155)) | (~always3(s154)) | always3(s155))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10074,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s154, s155)) | (~always3(s154)) | always3(s155)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10073, 10072])).
% 7.60/5.38 tff(10075,plain,
% 7.60/5.38 ((~always3(s154)) | always3(s155)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10074, 112, 10071])).
% 7.60/5.38 tff(10076,plain,
% 7.60/5.38 (always3(s155)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10075, 10064])).
% 7.60/5.38 tff(10077,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10078,plain,
% 7.60/5.38 (((~m_main_v_state(s155, c_busy)) | (~always3(s155))) <=> ((~always3(s155)) | (~m_main_v_state(s155, c_busy)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10079,plain,
% 7.60/5.38 (((~![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))))),
% 7.60/5.38 inference(monotonicity,[status(thm)],[10078])).
% 7.60/5.38 tff(10080,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(transitivity,[status(thm)],[10079, 10077])).
% 7.60/5.38 tff(10081,plain,
% 7.60/5.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s155, c_busy)) | (~always3(s155)))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10082,plain,
% 7.60/5.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s155)) | (~m_main_v_state(s155, c_busy))),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10081, 10080])).
% 7.60/5.38 tff(10083,plain,
% 7.60/5.38 (~m_main_v_state(s155, c_busy)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10082, 72, 10076])).
% 7.60/5.38 tff(10084,plain,
% 7.60/5.38 (((~![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))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10085,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s154, s155)) | node2(s154, s155))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10086,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s154, s155)) | node2(s154, s155)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 7.60/5.38 tff(10087,plain,
% 7.60/5.38 (node2(s154, s155)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10086, 7, 10071])).
% 7.60/5.38 tff(10088,plain,
% 7.60/5.38 (((~![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(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)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10089,plain,
% 7.60/5.38 ((~![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(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154)))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10090,plain,
% 7.60/5.38 ((~![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(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154))),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10089, 10088])).
% 7.60/5.38 tff(10091,plain,
% 7.60/5.38 ((~m_main_v_state(s154, c_ready)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154))),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10090, 60, 10087])).
% 7.60/5.38 tff(10092,plain,
% 7.60/5.38 (~m_main_v_state(s154, c_ready)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10091, 10083, 10060])).
% 7.60/5.38 tff(10093,plain,
% 7.60/5.38 (~m_main_v_state(s154, c_busy)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10026, 72, 10064])).
% 7.60/5.38 tff(10094,plain,
% 7.60/5.38 (((~![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))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10095,plain,
% 7.60/5.38 ((~![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))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10096,plain,
% 7.60/5.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s154, c_busy) | m_main_v_state(s154, c_ready)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10095, 10094])).
% 7.60/5.38 tff(10097,plain,
% 7.60/5.38 ($false),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10096, 89, 10093, 10092])).
% 7.60/5.38 tff(10098,plain,(~node4(s154)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.38 tff(10099,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10100,plain,
% 7.60/5.38 ((node4(s154) | (~until5(s154)) | xuntil6(s154)) <=> (xuntil6(s154) | node4(s154) | (~until5(s154)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10101,plain,
% 7.60/5.38 (((~![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))))),
% 7.60/5.38 inference(monotonicity,[status(thm)],[10100])).
% 7.60/5.38 tff(10102,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(transitivity,[status(thm)],[10101, 10099])).
% 7.60/5.38 tff(10103,plain,
% 7.60/5.38 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s154) | (~until5(s154)) | xuntil6(s154))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10104,plain,
% 7.60/5.38 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s154) | node4(s154) | (~until5(s154))),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10103, 10102])).
% 7.60/5.38 tff(10105,plain,
% 7.60/5.38 (xuntil6(s154) | (~until5(s154))),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10104, 352, 10098])).
% 7.60/5.38 tff(10106,plain,
% 7.60/5.38 (xuntil6(s154)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10105, 10055])).
% 7.60/5.38 tff(10107,plain,
% 7.60/5.38 (((~![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))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10108,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10109,plain,
% 7.60/5.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155)),
% 7.60/5.38 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 7.60/5.38 tff(10110,plain,
% 7.60/5.38 ((~xuntil6(s154)) | until5(s155)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10109, 10067, 370])).
% 7.60/5.38 tff(10111,plain,
% 7.60/5.38 (until5(s155)),
% 7.60/5.38 inference(unit_resolution,[status(thm)],[10110, 10106])).
% 7.60/5.38 tff(10112,assumption,(node4(s155)), introduced(assumption)).
% 7.60/5.38 tff(10113,plain,
% 7.60/5.38 (((~![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)))),
% 7.60/5.38 inference(rewrite,[status(thm)],[])).
% 7.60/5.38 tff(10114,plain,
% 7.60/5.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s155) | (~node4(s155)))),
% 7.60/5.38 inference(quant_inst,[status(thm)],[])).
% 7.60/5.38 tff(10115,plain,
% 7.60/5.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s155) | (~node4(s155))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10114, 10113])).
% 7.60/5.39 tff(10116,plain,
% 7.60/5.39 (m_main_v_request(s155)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10115, 28, 10112])).
% 7.60/5.39 tff(10117,plain,
% 7.60/5.39 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s155) | (~node4(s155)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s155) | (~node4(s155)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10118,plain,
% 7.60/5.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s155) | (~node4(s155)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10119,plain,
% 7.60/5.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s155) | (~node4(s155))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10118, 10117])).
% 7.60/5.39 tff(10120,plain,
% 7.60/5.39 (always3(s155)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10119, 16, 10112])).
% 7.60/5.39 tff(10121,plain,
% 7.60/5.39 (succ(s155, s156) <=> succ(s155, s156)),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10122,axiom,(succ(s155, s156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound156')).
% 7.60/5.39 tff(10123,plain,
% 7.60/5.39 (succ(s155, s156)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10122, 10121])).
% 7.60/5.39 tff(10124,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10125,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10126,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10125, 10124])).
% 7.60/5.39 tff(10127,plain,
% 7.60/5.39 (trans(s155, s156)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10126, 10123, 39])).
% 7.60/5.39 tff(10128,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10129,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s155, s156)) | (~always3(s155)) | always3(s156))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10130,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s155, s156)) | (~always3(s155)) | always3(s156)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10129, 10128])).
% 7.60/5.39 tff(10131,plain,
% 7.60/5.39 ((~always3(s155)) | always3(s156)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10130, 112, 10127])).
% 7.60/5.39 tff(10132,plain,
% 7.60/5.39 (always3(s156)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10131, 10120])).
% 7.60/5.39 tff(10133,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10134,plain,
% 7.60/5.39 (((~m_main_v_state(s156, c_busy)) | (~always3(s156))) <=> ((~always3(s156)) | (~m_main_v_state(s156, c_busy)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10135,plain,
% 7.60/5.39 (((~![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))))),
% 7.60/5.39 inference(monotonicity,[status(thm)],[10134])).
% 7.60/5.39 tff(10136,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(transitivity,[status(thm)],[10135, 10133])).
% 7.60/5.39 tff(10137,plain,
% 7.60/5.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s156, c_busy)) | (~always3(s156)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10138,plain,
% 7.60/5.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s156)) | (~m_main_v_state(s156, c_busy))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10137, 10136])).
% 7.60/5.39 tff(10139,plain,
% 7.60/5.39 (~m_main_v_state(s156, c_busy)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10138, 72, 10132])).
% 7.60/5.39 tff(10140,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10141,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s155, s156)) | node2(s155, s156))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10142,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s155, s156)) | node2(s155, s156)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10141, 10140])).
% 7.60/5.39 tff(10143,plain,
% 7.60/5.39 (node2(s155, s156)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10142, 7, 10127])).
% 7.60/5.39 tff(10144,plain,
% 7.60/5.39 (((~![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(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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10145,plain,
% 7.60/5.39 ((~![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(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10146,plain,
% 7.60/5.39 ((~![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(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10145, 10144])).
% 7.60/5.39 tff(10147,plain,
% 7.60/5.39 ((~m_main_v_state(s155, c_ready)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155))),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10146, 60, 10143])).
% 7.60/5.39 tff(10148,plain,
% 7.60/5.39 (~m_main_v_state(s155, c_ready)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10147, 10139, 10116])).
% 7.60/5.39 tff(10149,plain,
% 7.60/5.39 (~m_main_v_state(s155, c_busy)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10082, 72, 10120])).
% 7.60/5.39 tff(10150,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10151,plain,
% 7.60/5.39 ((~![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))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10152,plain,
% 7.60/5.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s155, c_busy) | m_main_v_state(s155, c_ready)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 7.60/5.39 tff(10153,plain,
% 7.60/5.39 ($false),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10152, 89, 10149, 10148])).
% 7.60/5.39 tff(10154,plain,(~node4(s155)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.39 tff(10155,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10156,plain,
% 7.60/5.39 ((node4(s155) | (~until5(s155)) | xuntil6(s155)) <=> (xuntil6(s155) | node4(s155) | (~until5(s155)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10157,plain,
% 7.60/5.39 (((~![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))))),
% 7.60/5.39 inference(monotonicity,[status(thm)],[10156])).
% 7.60/5.39 tff(10158,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(transitivity,[status(thm)],[10157, 10155])).
% 7.60/5.39 tff(10159,plain,
% 7.60/5.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s155) | (~until5(s155)) | xuntil6(s155))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10160,plain,
% 7.60/5.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s155) | node4(s155) | (~until5(s155))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10159, 10158])).
% 7.60/5.39 tff(10161,plain,
% 7.60/5.39 (xuntil6(s155) | (~until5(s155))),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10160, 352, 10154])).
% 7.60/5.39 tff(10162,plain,
% 7.60/5.39 (xuntil6(s155)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10161, 10111])).
% 7.60/5.39 tff(10163,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10164,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10165,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10164, 10163])).
% 7.60/5.39 tff(10166,plain,
% 7.60/5.39 ((~xuntil6(s155)) | until5(s156)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10165, 10123, 370])).
% 7.60/5.39 tff(10167,plain,
% 7.60/5.39 (until5(s156)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10166, 10162])).
% 7.60/5.39 tff(10168,assumption,(node4(s156)), introduced(assumption)).
% 7.60/5.39 tff(10169,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10170,plain,
% 7.60/5.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s156) | (~node4(s156)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10171,plain,
% 7.60/5.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s156) | (~node4(s156))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10170, 10169])).
% 7.60/5.39 tff(10172,plain,
% 7.60/5.39 (m_main_v_request(s156)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10171, 28, 10168])).
% 7.60/5.39 tff(10173,plain,
% 7.60/5.39 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s156) | (~node4(s156)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s156) | (~node4(s156)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10174,plain,
% 7.60/5.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s156) | (~node4(s156)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10175,plain,
% 7.60/5.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s156) | (~node4(s156))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10174, 10173])).
% 7.60/5.39 tff(10176,plain,
% 7.60/5.39 (always3(s156)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10175, 16, 10168])).
% 7.60/5.39 tff(10177,plain,
% 7.60/5.39 (succ(s156, s157) <=> succ(s156, s157)),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10178,axiom,(succ(s156, s157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound157')).
% 7.60/5.39 tff(10179,plain,
% 7.60/5.39 (succ(s156, s157)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10178, 10177])).
% 7.60/5.39 tff(10180,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10181,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10182,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10181, 10180])).
% 7.60/5.39 tff(10183,plain,
% 7.60/5.39 (trans(s156, s157)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10182, 10179, 39])).
% 7.60/5.39 tff(10184,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10185,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s156, s157)) | (~always3(s156)) | always3(s157))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10186,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s156, s157)) | (~always3(s156)) | always3(s157)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10185, 10184])).
% 7.60/5.39 tff(10187,plain,
% 7.60/5.39 ((~always3(s156)) | always3(s157)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10186, 112, 10183])).
% 7.60/5.39 tff(10188,plain,
% 7.60/5.39 (always3(s157)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10187, 10176])).
% 7.60/5.39 tff(10189,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10190,plain,
% 7.60/5.39 (((~m_main_v_state(s157, c_busy)) | (~always3(s157))) <=> ((~always3(s157)) | (~m_main_v_state(s157, c_busy)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10191,plain,
% 7.60/5.39 (((~![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))))),
% 7.60/5.39 inference(monotonicity,[status(thm)],[10190])).
% 7.60/5.39 tff(10192,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(transitivity,[status(thm)],[10191, 10189])).
% 7.60/5.39 tff(10193,plain,
% 7.60/5.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s157, c_busy)) | (~always3(s157)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10194,plain,
% 7.60/5.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s157)) | (~m_main_v_state(s157, c_busy))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10193, 10192])).
% 7.60/5.39 tff(10195,plain,
% 7.60/5.39 (~m_main_v_state(s157, c_busy)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10194, 72, 10188])).
% 7.60/5.39 tff(10196,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10197,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s156, s157)) | node2(s156, s157))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10198,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s156, s157)) | node2(s156, s157)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10197, 10196])).
% 7.60/5.39 tff(10199,plain,
% 7.60/5.39 (node2(s156, s157)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10198, 7, 10183])).
% 7.60/5.39 tff(10200,plain,
% 7.60/5.39 (((~![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(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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10201,plain,
% 7.60/5.39 ((~![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(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10202,plain,
% 7.60/5.39 ((~![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(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10201, 10200])).
% 7.60/5.39 tff(10203,plain,
% 7.60/5.39 ((~m_main_v_state(s156, c_ready)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156))),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10202, 60, 10199])).
% 7.60/5.39 tff(10204,plain,
% 7.60/5.39 (~m_main_v_state(s156, c_ready)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10203, 10195, 10172])).
% 7.60/5.39 tff(10205,plain,
% 7.60/5.39 (~m_main_v_state(s156, c_busy)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10138, 72, 10176])).
% 7.60/5.39 tff(10206,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10207,plain,
% 7.60/5.39 ((~![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))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10208,plain,
% 7.60/5.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s156, c_busy) | m_main_v_state(s156, c_ready)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10207, 10206])).
% 7.60/5.39 tff(10209,plain,
% 7.60/5.39 ($false),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10208, 89, 10205, 10204])).
% 7.60/5.39 tff(10210,plain,(~node4(s156)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.39 tff(10211,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10212,plain,
% 7.60/5.39 ((node4(s156) | (~until5(s156)) | xuntil6(s156)) <=> (xuntil6(s156) | node4(s156) | (~until5(s156)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10213,plain,
% 7.60/5.39 (((~![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))))),
% 7.60/5.39 inference(monotonicity,[status(thm)],[10212])).
% 7.60/5.39 tff(10214,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(transitivity,[status(thm)],[10213, 10211])).
% 7.60/5.39 tff(10215,plain,
% 7.60/5.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s156) | (~until5(s156)) | xuntil6(s156))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10216,plain,
% 7.60/5.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s156) | node4(s156) | (~until5(s156))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10215, 10214])).
% 7.60/5.39 tff(10217,plain,
% 7.60/5.39 (xuntil6(s156) | (~until5(s156))),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10216, 352, 10210])).
% 7.60/5.39 tff(10218,plain,
% 7.60/5.39 (xuntil6(s156)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10217, 10167])).
% 7.60/5.39 tff(10219,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10220,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10221,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10220, 10219])).
% 7.60/5.39 tff(10222,plain,
% 7.60/5.39 ((~xuntil6(s156)) | until5(s157)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10221, 10179, 370])).
% 7.60/5.39 tff(10223,plain,
% 7.60/5.39 (until5(s157)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10222, 10218])).
% 7.60/5.39 tff(10224,assumption,(node4(s157)), introduced(assumption)).
% 7.60/5.39 tff(10225,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10226,plain,
% 7.60/5.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s157) | (~node4(s157)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10227,plain,
% 7.60/5.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s157) | (~node4(s157))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10226, 10225])).
% 7.60/5.39 tff(10228,plain,
% 7.60/5.39 (m_main_v_request(s157)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10227, 28, 10224])).
% 7.60/5.39 tff(10229,plain,
% 7.60/5.39 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s157) | (~node4(s157)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s157) | (~node4(s157)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10230,plain,
% 7.60/5.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s157) | (~node4(s157)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10231,plain,
% 7.60/5.39 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s157) | (~node4(s157))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10230, 10229])).
% 7.60/5.39 tff(10232,plain,
% 7.60/5.39 (always3(s157)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10231, 16, 10224])).
% 7.60/5.39 tff(10233,plain,
% 7.60/5.39 (succ(s157, s158) <=> succ(s157, s158)),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10234,axiom,(succ(s157, s158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound158')).
% 7.60/5.39 tff(10235,plain,
% 7.60/5.39 (succ(s157, s158)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10234, 10233])).
% 7.60/5.39 tff(10236,plain,
% 7.60/5.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10237,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10238,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10237, 10236])).
% 7.60/5.39 tff(10239,plain,
% 7.60/5.39 (trans(s157, s158)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10238, 10235, 39])).
% 7.60/5.39 tff(10240,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10241,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s157, s158)) | (~always3(s157)) | always3(s158))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10242,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s157, s158)) | (~always3(s157)) | always3(s158)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10241, 10240])).
% 7.60/5.39 tff(10243,plain,
% 7.60/5.39 ((~always3(s157)) | always3(s158)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10242, 112, 10239])).
% 7.60/5.39 tff(10244,plain,
% 7.60/5.39 (always3(s158)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10243, 10232])).
% 7.60/5.39 tff(10245,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10246,plain,
% 7.60/5.39 (((~m_main_v_state(s158, c_busy)) | (~always3(s158))) <=> ((~always3(s158)) | (~m_main_v_state(s158, c_busy)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10247,plain,
% 7.60/5.39 (((~![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))))),
% 7.60/5.39 inference(monotonicity,[status(thm)],[10246])).
% 7.60/5.39 tff(10248,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(transitivity,[status(thm)],[10247, 10245])).
% 7.60/5.39 tff(10249,plain,
% 7.60/5.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s158, c_busy)) | (~always3(s158)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10250,plain,
% 7.60/5.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s158)) | (~m_main_v_state(s158, c_busy))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10249, 10248])).
% 7.60/5.39 tff(10251,plain,
% 7.60/5.39 (~m_main_v_state(s158, c_busy)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10250, 72, 10244])).
% 7.60/5.39 tff(10252,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10253,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s157, s158)) | node2(s157, s158))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10254,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s157, s158)) | node2(s157, s158)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10253, 10252])).
% 7.60/5.39 tff(10255,plain,
% 7.60/5.39 (node2(s157, s158)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10254, 7, 10239])).
% 7.60/5.39 tff(10256,plain,
% 7.60/5.39 (((~![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(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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10257,plain,
% 7.60/5.39 ((~![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(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10258,plain,
% 7.60/5.39 ((~![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(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10257, 10256])).
% 7.60/5.39 tff(10259,plain,
% 7.60/5.39 ((~m_main_v_state(s157, c_ready)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157))),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10258, 60, 10255])).
% 7.60/5.39 tff(10260,plain,
% 7.60/5.39 (~m_main_v_state(s157, c_ready)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10259, 10251, 10228])).
% 7.60/5.39 tff(10261,plain,
% 7.60/5.39 (~m_main_v_state(s157, c_busy)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10194, 72, 10232])).
% 7.60/5.39 tff(10262,plain,
% 7.60/5.39 (((~![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))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10263,plain,
% 7.60/5.39 ((~![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))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10264,plain,
% 7.60/5.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s157, c_busy) | m_main_v_state(s157, c_ready)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 7.60/5.39 tff(10265,plain,
% 7.60/5.39 ($false),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10264, 89, 10261, 10260])).
% 7.60/5.39 tff(10266,plain,(~node4(s157)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.39 tff(10267,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10268,plain,
% 7.60/5.39 ((node4(s157) | (~until5(s157)) | xuntil6(s157)) <=> (xuntil6(s157) | node4(s157) | (~until5(s157)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10269,plain,
% 7.60/5.39 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s157) | (~until5(s157)) | xuntil6(s157))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s157) | node4(s157) | (~until5(s157))))),
% 7.60/5.39 inference(monotonicity,[status(thm)],[10268])).
% 7.60/5.39 tff(10270,plain,
% 7.60/5.39 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s157) | (~until5(s157)) | xuntil6(s157))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s157) | node4(s157) | (~until5(s157)))),
% 7.60/5.39 inference(transitivity,[status(thm)],[10269, 10267])).
% 7.60/5.39 tff(10271,plain,
% 7.60/5.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s157) | (~until5(s157)) | xuntil6(s157))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10272,plain,
% 7.60/5.39 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s157) | node4(s157) | (~until5(s157))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10271, 10270])).
% 7.60/5.39 tff(10273,plain,
% 7.60/5.39 (xuntil6(s157) | (~until5(s157))),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10272, 352, 10266])).
% 7.60/5.39 tff(10274,plain,
% 7.60/5.39 (xuntil6(s157)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10273, 10223])).
% 7.60/5.39 tff(10275,plain,
% 7.60/5.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10276,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10277,plain,
% 7.60/5.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158)),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10276, 10275])).
% 7.60/5.39 tff(10278,plain,
% 7.60/5.39 ((~xuntil6(s157)) | until5(s158)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10277, 10235, 370])).
% 7.60/5.39 tff(10279,plain,
% 7.60/5.39 (until5(s158)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10278, 10274])).
% 7.60/5.39 tff(10280,assumption,(node4(s158)), introduced(assumption)).
% 7.60/5.39 tff(10281,plain,
% 7.60/5.39 (((~![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)))),
% 7.60/5.39 inference(rewrite,[status(thm)],[])).
% 7.60/5.39 tff(10282,plain,
% 7.60/5.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s158) | (~node4(s158)))),
% 7.60/5.39 inference(quant_inst,[status(thm)],[])).
% 7.60/5.39 tff(10283,plain,
% 7.60/5.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s158) | (~node4(s158))),
% 7.60/5.39 inference(modus_ponens,[status(thm)],[10282, 10281])).
% 7.60/5.39 tff(10284,plain,
% 7.60/5.39 (m_main_v_request(s158)),
% 7.60/5.39 inference(unit_resolution,[status(thm)],[10283, 28, 10280])).
% 7.60/5.39 tff(10285,plain,
% 7.60/5.39 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s158) | (~node4(s158)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s158) | (~node4(s158)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10286,plain,
% 7.60/5.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s158) | (~node4(s158)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10287,plain,
% 7.60/5.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s158) | (~node4(s158))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10286, 10285])).
% 7.60/5.40 tff(10288,plain,
% 7.60/5.40 (always3(s158)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10287, 16, 10280])).
% 7.60/5.40 tff(10289,plain,
% 7.60/5.40 (succ(s158, s159) <=> succ(s158, s159)),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10290,axiom,(succ(s158, s159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound159')).
% 7.60/5.40 tff(10291,plain,
% 7.60/5.40 (succ(s158, s159)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10290, 10289])).
% 7.60/5.40 tff(10292,plain,
% 7.60/5.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10293,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10294,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10293, 10292])).
% 7.60/5.40 tff(10295,plain,
% 7.60/5.40 (trans(s158, s159)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10294, 10291, 39])).
% 7.60/5.40 tff(10296,plain,
% 7.60/5.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s158, s159)) | (~always3(s158)) | always3(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s158, s159)) | (~always3(s158)) | always3(s159))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10297,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s158, s159)) | (~always3(s158)) | always3(s159))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10298,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s158, s159)) | (~always3(s158)) | always3(s159)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10297, 10296])).
% 7.60/5.40 tff(10299,plain,
% 7.60/5.40 ((~always3(s158)) | always3(s159)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10298, 112, 10295])).
% 7.60/5.40 tff(10300,plain,
% 7.60/5.40 (always3(s159)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10299, 10288])).
% 7.60/5.40 tff(10301,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10302,plain,
% 7.60/5.40 (((~m_main_v_state(s159, c_busy)) | (~always3(s159))) <=> ((~always3(s159)) | (~m_main_v_state(s159, c_busy)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10303,plain,
% 7.60/5.40 (((~![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))))),
% 7.60/5.40 inference(monotonicity,[status(thm)],[10302])).
% 7.60/5.40 tff(10304,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(transitivity,[status(thm)],[10303, 10301])).
% 7.60/5.40 tff(10305,plain,
% 7.60/5.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s159, c_busy)) | (~always3(s159)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10306,plain,
% 7.60/5.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s159)) | (~m_main_v_state(s159, c_busy))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10305, 10304])).
% 7.60/5.40 tff(10307,plain,
% 7.60/5.40 (~m_main_v_state(s159, c_busy)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10306, 72, 10300])).
% 7.60/5.40 tff(10308,plain,
% 7.60/5.40 (((~![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))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10309,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s158, s159)) | node2(s158, s159))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10310,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s158, s159)) | node2(s158, s159)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10309, 10308])).
% 7.60/5.40 tff(10311,plain,
% 7.60/5.40 (node2(s158, s159)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10310, 7, 10295])).
% 7.60/5.40 tff(10312,plain,
% 7.60/5.40 (((~![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(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)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10313,plain,
% 7.60/5.40 ((~![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(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10314,plain,
% 7.60/5.40 ((~![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(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10313, 10312])).
% 7.60/5.40 tff(10315,plain,
% 7.60/5.40 ((~m_main_v_state(s158, c_ready)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158))),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10314, 60, 10311])).
% 7.60/5.40 tff(10316,plain,
% 7.60/5.40 (~m_main_v_state(s158, c_ready)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10315, 10307, 10284])).
% 7.60/5.40 tff(10317,plain,
% 7.60/5.40 (~m_main_v_state(s158, c_busy)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10250, 72, 10288])).
% 7.60/5.40 tff(10318,plain,
% 7.60/5.40 (((~![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))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10319,plain,
% 7.60/5.40 ((~![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))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10320,plain,
% 7.60/5.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s158, c_busy) | m_main_v_state(s158, c_ready)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10319, 10318])).
% 7.60/5.40 tff(10321,plain,
% 7.60/5.40 ($false),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10320, 89, 10317, 10316])).
% 7.60/5.40 tff(10322,plain,(~node4(s158)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.40 tff(10323,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10324,plain,
% 7.60/5.40 ((node4(s158) | (~until5(s158)) | xuntil6(s158)) <=> (xuntil6(s158) | node4(s158) | (~until5(s158)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10325,plain,
% 7.60/5.40 (((~![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))))),
% 7.60/5.40 inference(monotonicity,[status(thm)],[10324])).
% 7.60/5.40 tff(10326,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(transitivity,[status(thm)],[10325, 10323])).
% 7.60/5.40 tff(10327,plain,
% 7.60/5.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s158) | (~until5(s158)) | xuntil6(s158))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10328,plain,
% 7.60/5.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s158) | node4(s158) | (~until5(s158))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10327, 10326])).
% 7.60/5.40 tff(10329,plain,
% 7.60/5.40 (xuntil6(s158) | (~until5(s158))),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10328, 352, 10322])).
% 7.60/5.40 tff(10330,plain,
% 7.60/5.40 (xuntil6(s158)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10329, 10279])).
% 7.60/5.40 tff(10331,plain,
% 7.60/5.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10332,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10333,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10332, 10331])).
% 7.60/5.40 tff(10334,plain,
% 7.60/5.40 ((~xuntil6(s158)) | until5(s159)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10333, 10291, 370])).
% 7.60/5.40 tff(10335,plain,
% 7.60/5.40 (until5(s159)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10334, 10330])).
% 7.60/5.40 tff(10336,assumption,(node4(s159)), introduced(assumption)).
% 7.60/5.40 tff(10337,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10338,plain,
% 7.60/5.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s159) | (~node4(s159)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10339,plain,
% 7.60/5.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s159) | (~node4(s159))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10338, 10337])).
% 7.60/5.40 tff(10340,plain,
% 7.60/5.40 (m_main_v_request(s159)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10339, 28, 10336])).
% 7.60/5.40 tff(10341,plain,
% 7.60/5.40 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s159) | (~node4(s159)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s159) | (~node4(s159)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10342,plain,
% 7.60/5.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s159) | (~node4(s159)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10343,plain,
% 7.60/5.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s159) | (~node4(s159))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10342, 10341])).
% 7.60/5.40 tff(10344,plain,
% 7.60/5.40 (always3(s159)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10343, 16, 10336])).
% 7.60/5.40 tff(10345,plain,
% 7.60/5.40 (succ(s159, s160) <=> succ(s159, s160)),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10346,axiom,(succ(s159, s160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound160')).
% 7.60/5.40 tff(10347,plain,
% 7.60/5.40 (succ(s159, s160)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10346, 10345])).
% 7.60/5.40 tff(10348,plain,
% 7.60/5.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10349,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10350,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10349, 10348])).
% 7.60/5.40 tff(10351,plain,
% 7.60/5.40 (trans(s159, s160)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10350, 10347, 39])).
% 7.60/5.40 tff(10352,plain,
% 7.60/5.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s159, s160)) | (~always3(s159)) | always3(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s159, s160)) | (~always3(s159)) | always3(s160))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10353,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s159, s160)) | (~always3(s159)) | always3(s160))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10354,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s159, s160)) | (~always3(s159)) | always3(s160)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10353, 10352])).
% 7.60/5.40 tff(10355,plain,
% 7.60/5.40 ((~always3(s159)) | always3(s160)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10354, 112, 10351])).
% 7.60/5.40 tff(10356,plain,
% 7.60/5.40 (always3(s160)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10355, 10344])).
% 7.60/5.40 tff(10357,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10358,plain,
% 7.60/5.40 (((~m_main_v_state(s160, c_busy)) | (~always3(s160))) <=> ((~always3(s160)) | (~m_main_v_state(s160, c_busy)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10359,plain,
% 7.60/5.40 (((~![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))))),
% 7.60/5.40 inference(monotonicity,[status(thm)],[10358])).
% 7.60/5.40 tff(10360,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(transitivity,[status(thm)],[10359, 10357])).
% 7.60/5.40 tff(10361,plain,
% 7.60/5.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s160, c_busy)) | (~always3(s160)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10362,plain,
% 7.60/5.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s160)) | (~m_main_v_state(s160, c_busy))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10361, 10360])).
% 7.60/5.40 tff(10363,plain,
% 7.60/5.40 (~m_main_v_state(s160, c_busy)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10362, 72, 10356])).
% 7.60/5.40 tff(10364,plain,
% 7.60/5.40 (((~![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))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10365,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s159, s160)) | node2(s159, s160))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10366,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s159, s160)) | node2(s159, s160)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10365, 10364])).
% 7.60/5.40 tff(10367,plain,
% 7.60/5.40 (node2(s159, s160)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10366, 7, 10351])).
% 7.60/5.40 tff(10368,plain,
% 7.60/5.40 (((~![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(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)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10369,plain,
% 7.60/5.40 ((~![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(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10370,plain,
% 7.60/5.40 ((~![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(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10369, 10368])).
% 7.60/5.40 tff(10371,plain,
% 7.60/5.40 ((~m_main_v_state(s159, c_ready)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159))),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10370, 60, 10367])).
% 7.60/5.40 tff(10372,plain,
% 7.60/5.40 (~m_main_v_state(s159, c_ready)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10371, 10363, 10340])).
% 7.60/5.40 tff(10373,plain,
% 7.60/5.40 (~m_main_v_state(s159, c_busy)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10306, 72, 10344])).
% 7.60/5.40 tff(10374,plain,
% 7.60/5.40 (((~![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))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10375,plain,
% 7.60/5.40 ((~![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))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10376,plain,
% 7.60/5.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s159, c_busy) | m_main_v_state(s159, c_ready)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10375, 10374])).
% 7.60/5.40 tff(10377,plain,
% 7.60/5.40 ($false),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10376, 89, 10373, 10372])).
% 7.60/5.40 tff(10378,plain,(~node4(s159)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.40 tff(10379,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10380,plain,
% 7.60/5.40 ((node4(s159) | (~until5(s159)) | xuntil6(s159)) <=> (xuntil6(s159) | node4(s159) | (~until5(s159)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10381,plain,
% 7.60/5.40 (((~![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))))),
% 7.60/5.40 inference(monotonicity,[status(thm)],[10380])).
% 7.60/5.40 tff(10382,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(transitivity,[status(thm)],[10381, 10379])).
% 7.60/5.40 tff(10383,plain,
% 7.60/5.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s159) | (~until5(s159)) | xuntil6(s159))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10384,plain,
% 7.60/5.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s159) | node4(s159) | (~until5(s159))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10383, 10382])).
% 7.60/5.40 tff(10385,plain,
% 7.60/5.40 (xuntil6(s159) | (~until5(s159))),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10384, 352, 10378])).
% 7.60/5.40 tff(10386,plain,
% 7.60/5.40 (xuntil6(s159)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10385, 10335])).
% 7.60/5.40 tff(10387,plain,
% 7.60/5.40 (((~![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))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10388,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10389,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10388, 10387])).
% 7.60/5.40 tff(10390,plain,
% 7.60/5.40 ((~xuntil6(s159)) | until5(s160)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10389, 10347, 370])).
% 7.60/5.40 tff(10391,plain,
% 7.60/5.40 (until5(s160)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10390, 10386])).
% 7.60/5.40 tff(10392,assumption,(node4(s160)), introduced(assumption)).
% 7.60/5.40 tff(10393,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10394,plain,
% 7.60/5.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s160) | (~node4(s160)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10395,plain,
% 7.60/5.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s160) | (~node4(s160))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10394, 10393])).
% 7.60/5.40 tff(10396,plain,
% 7.60/5.40 (m_main_v_request(s160)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10395, 28, 10392])).
% 7.60/5.40 tff(10397,plain,
% 7.60/5.40 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s160) | (~node4(s160)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s160) | (~node4(s160)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10398,plain,
% 7.60/5.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s160) | (~node4(s160)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10399,plain,
% 7.60/5.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s160) | (~node4(s160))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10398, 10397])).
% 7.60/5.40 tff(10400,plain,
% 7.60/5.40 (always3(s160)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10399, 16, 10392])).
% 7.60/5.40 tff(10401,plain,
% 7.60/5.40 (succ(s160, s161) <=> succ(s160, s161)),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10402,axiom,(succ(s160, s161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound161')).
% 7.60/5.40 tff(10403,plain,
% 7.60/5.40 (succ(s160, s161)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10402, 10401])).
% 7.60/5.40 tff(10404,plain,
% 7.60/5.40 (((~![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))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10405,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10406,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10405, 10404])).
% 7.60/5.40 tff(10407,plain,
% 7.60/5.40 (trans(s160, s161)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10406, 10403, 39])).
% 7.60/5.40 tff(10408,plain,
% 7.60/5.40 (((~![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))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10409,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s160, s161)) | (~always3(s160)) | always3(s161))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10410,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s160, s161)) | (~always3(s160)) | always3(s161)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10409, 10408])).
% 7.60/5.40 tff(10411,plain,
% 7.60/5.40 ((~always3(s160)) | always3(s161)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10410, 112, 10407])).
% 7.60/5.40 tff(10412,plain,
% 7.60/5.40 (always3(s161)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10411, 10400])).
% 7.60/5.40 tff(10413,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10414,plain,
% 7.60/5.40 (((~m_main_v_state(s161, c_busy)) | (~always3(s161))) <=> ((~always3(s161)) | (~m_main_v_state(s161, c_busy)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10415,plain,
% 7.60/5.40 (((~![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))))),
% 7.60/5.40 inference(monotonicity,[status(thm)],[10414])).
% 7.60/5.40 tff(10416,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(transitivity,[status(thm)],[10415, 10413])).
% 7.60/5.40 tff(10417,plain,
% 7.60/5.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s161, c_busy)) | (~always3(s161)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10418,plain,
% 7.60/5.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s161)) | (~m_main_v_state(s161, c_busy))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10417, 10416])).
% 7.60/5.40 tff(10419,plain,
% 7.60/5.40 (~m_main_v_state(s161, c_busy)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10418, 72, 10412])).
% 7.60/5.40 tff(10420,plain,
% 7.60/5.40 (((~![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))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10421,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s160, s161)) | node2(s160, s161))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10422,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s160, s161)) | node2(s160, s161)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10421, 10420])).
% 7.60/5.40 tff(10423,plain,
% 7.60/5.40 (node2(s160, s161)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10422, 7, 10407])).
% 7.60/5.40 tff(10424,plain,
% 7.60/5.40 (((~![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(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)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10425,plain,
% 7.60/5.40 ((~![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(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10426,plain,
% 7.60/5.40 ((~![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(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10425, 10424])).
% 7.60/5.40 tff(10427,plain,
% 7.60/5.40 ((~m_main_v_state(s160, c_ready)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160))),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10426, 60, 10423])).
% 7.60/5.40 tff(10428,plain,
% 7.60/5.40 (~m_main_v_state(s160, c_ready)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10427, 10419, 10396])).
% 7.60/5.40 tff(10429,plain,
% 7.60/5.40 (~m_main_v_state(s160, c_busy)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10362, 72, 10400])).
% 7.60/5.40 tff(10430,plain,
% 7.60/5.40 (((~![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))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10431,plain,
% 7.60/5.40 ((~![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))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10432,plain,
% 7.60/5.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s160, c_busy) | m_main_v_state(s160, c_ready)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10431, 10430])).
% 7.60/5.40 tff(10433,plain,
% 7.60/5.40 ($false),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10432, 89, 10429, 10428])).
% 7.60/5.40 tff(10434,plain,(~node4(s160)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.40 tff(10435,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10436,plain,
% 7.60/5.40 ((node4(s160) | (~until5(s160)) | xuntil6(s160)) <=> (xuntil6(s160) | node4(s160) | (~until5(s160)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10437,plain,
% 7.60/5.40 (((~![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))))),
% 7.60/5.40 inference(monotonicity,[status(thm)],[10436])).
% 7.60/5.40 tff(10438,plain,
% 7.60/5.40 (((~![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)))),
% 7.60/5.40 inference(transitivity,[status(thm)],[10437, 10435])).
% 7.60/5.40 tff(10439,plain,
% 7.60/5.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s160) | (~until5(s160)) | xuntil6(s160))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10440,plain,
% 7.60/5.40 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s160) | node4(s160) | (~until5(s160))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10439, 10438])).
% 7.60/5.40 tff(10441,plain,
% 7.60/5.40 (xuntil6(s160) | (~until5(s160))),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10440, 352, 10434])).
% 7.60/5.40 tff(10442,plain,
% 7.60/5.40 (xuntil6(s160)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10441, 10391])).
% 7.60/5.40 tff(10443,plain,
% 7.60/5.40 (((~![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))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10444,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10445,plain,
% 7.60/5.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10444, 10443])).
% 7.60/5.40 tff(10446,plain,
% 7.60/5.40 ((~xuntil6(s160)) | until5(s161)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10445, 10403, 370])).
% 7.60/5.40 tff(10447,plain,
% 7.60/5.40 (until5(s161)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10446, 10442])).
% 7.60/5.40 tff(10448,assumption,(node4(s161)), introduced(assumption)).
% 7.60/5.40 tff(10449,assumption,(m_main_v_request(s161)), introduced(assumption)).
% 7.60/5.40 tff(10450,plain,
% 7.60/5.40 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s161) | (~node4(s161)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s161) | (~node4(s161)))),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10451,plain,
% 7.60/5.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s161) | (~node4(s161)))),
% 7.60/5.40 inference(quant_inst,[status(thm)],[])).
% 7.60/5.40 tff(10452,plain,
% 7.60/5.40 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s161) | (~node4(s161))),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10451, 10450])).
% 7.60/5.40 tff(10453,plain,
% 7.60/5.40 (always3(s161)),
% 7.60/5.40 inference(unit_resolution,[status(thm)],[10452, 16, 10448])).
% 7.60/5.40 tff(10454,plain,
% 7.60/5.40 (succ(s161, s162) <=> succ(s161, s162)),
% 7.60/5.40 inference(rewrite,[status(thm)],[])).
% 7.60/5.40 tff(10455,axiom,(succ(s161, s162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound162')).
% 7.60/5.40 tff(10456,plain,
% 7.60/5.40 (succ(s161, s162)),
% 7.60/5.40 inference(modus_ponens,[status(thm)],[10455, 10454])).
% 7.60/5.40 tff(10457,plain,
% 7.60/5.40 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10458,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10459,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 7.60/5.41 tff(10460,plain,
% 7.60/5.41 (trans(s161, s162)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10459, 10456, 39])).
% 7.60/5.41 tff(10461,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10462,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s161, s162)) | (~always3(s161)) | always3(s162))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10463,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s161, s162)) | (~always3(s161)) | always3(s162)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10462, 10461])).
% 7.60/5.41 tff(10464,plain,
% 7.60/5.41 ((~always3(s161)) | always3(s162)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10463, 112, 10460])).
% 7.60/5.41 tff(10465,plain,
% 7.60/5.41 (always3(s162)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10464, 10453])).
% 7.60/5.41 tff(10466,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10467,plain,
% 7.60/5.41 (((~m_main_v_state(s162, c_busy)) | (~always3(s162))) <=> ((~always3(s162)) | (~m_main_v_state(s162, c_busy)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10468,plain,
% 7.60/5.41 (((~![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))))),
% 7.60/5.41 inference(monotonicity,[status(thm)],[10467])).
% 7.60/5.41 tff(10469,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(transitivity,[status(thm)],[10468, 10466])).
% 7.60/5.41 tff(10470,plain,
% 7.60/5.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s162, c_busy)) | (~always3(s162)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10471,plain,
% 7.60/5.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s162)) | (~m_main_v_state(s162, c_busy))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10470, 10469])).
% 7.60/5.41 tff(10472,plain,
% 7.60/5.41 (~m_main_v_state(s162, c_busy)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10471, 72, 10465])).
% 7.60/5.41 tff(10473,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10474,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s161, s162)) | node2(s161, s162))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10475,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s161, s162)) | node2(s161, s162)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10474, 10473])).
% 7.60/5.41 tff(10476,plain,
% 7.60/5.41 (node2(s161, s162)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10475, 7, 10460])).
% 7.60/5.41 tff(10477,plain,
% 7.60/5.41 (((~![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(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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10478,plain,
% 7.60/5.41 ((~![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(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10479,plain,
% 7.60/5.41 ((~![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(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10478, 10477])).
% 7.60/5.41 tff(10480,plain,
% 7.60/5.41 ((~m_main_v_state(s161, c_ready)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161))),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10479, 60, 10476])).
% 7.60/5.41 tff(10481,plain,
% 7.60/5.41 (~m_main_v_state(s161, c_ready)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10480, 10472, 10449])).
% 7.60/5.41 tff(10482,plain,
% 7.60/5.41 (~m_main_v_state(s161, c_busy)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10418, 72, 10453])).
% 7.60/5.41 tff(10483,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10484,plain,
% 7.60/5.41 ((~![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))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10485,plain,
% 7.60/5.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s161, c_busy) | m_main_v_state(s161, c_ready)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10484, 10483])).
% 7.60/5.41 tff(10486,plain,
% 7.60/5.41 ($false),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10485, 89, 10482, 10481])).
% 7.60/5.41 tff(10487,plain,((~m_main_v_request(s161)) | (~node4(s161))), inference(lemma,lemma(discharge,[]))).
% 7.60/5.41 tff(10488,plain,
% 7.60/5.41 (~m_main_v_request(s161)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10487, 10448])).
% 7.60/5.41 tff(10489,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10490,plain,
% 7.60/5.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s161) | (~node4(s161)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10491,plain,
% 7.60/5.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s161) | (~node4(s161))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10490, 10489])).
% 7.60/5.41 tff(10492,plain,
% 7.60/5.41 ($false),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10491, 28, 10488, 10448])).
% 7.60/5.41 tff(10493,plain,(~node4(s161)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.41 tff(10494,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10495,plain,
% 7.60/5.41 ((node4(s161) | (~until5(s161)) | xuntil6(s161)) <=> (xuntil6(s161) | node4(s161) | (~until5(s161)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10496,plain,
% 7.60/5.41 (((~![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))))),
% 7.60/5.41 inference(monotonicity,[status(thm)],[10495])).
% 7.60/5.41 tff(10497,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(transitivity,[status(thm)],[10496, 10494])).
% 7.60/5.41 tff(10498,plain,
% 7.60/5.41 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s161) | (~until5(s161)) | xuntil6(s161))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10499,plain,
% 7.60/5.41 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s161) | node4(s161) | (~until5(s161))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10498, 10497])).
% 7.60/5.41 tff(10500,plain,
% 7.60/5.41 (xuntil6(s161) | (~until5(s161))),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10499, 352, 10493])).
% 7.60/5.41 tff(10501,plain,
% 7.60/5.41 (xuntil6(s161)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10500, 10447])).
% 7.60/5.41 tff(10502,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10503,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10504,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10503, 10502])).
% 7.60/5.41 tff(10505,plain,
% 7.60/5.41 ((~xuntil6(s161)) | until5(s162)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10504, 10456, 370])).
% 7.60/5.41 tff(10506,plain,
% 7.60/5.41 (until5(s162)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10505, 10501])).
% 7.60/5.41 tff(10507,assumption,(node4(s162)), introduced(assumption)).
% 7.60/5.41 tff(10508,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10509,plain,
% 7.60/5.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s162) | (~node4(s162)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10510,plain,
% 7.60/5.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s162) | (~node4(s162))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10509, 10508])).
% 7.60/5.41 tff(10511,plain,
% 7.60/5.41 (m_main_v_request(s162)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10510, 28, 10507])).
% 7.60/5.41 tff(10512,plain,
% 7.60/5.41 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s162) | (~node4(s162)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s162) | (~node4(s162)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10513,plain,
% 7.60/5.41 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s162) | (~node4(s162)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10514,plain,
% 7.60/5.41 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s162) | (~node4(s162))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 7.60/5.41 tff(10515,plain,
% 7.60/5.41 (always3(s162)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10514, 16, 10507])).
% 7.60/5.41 tff(10516,plain,
% 7.60/5.41 (succ(s162, s163) <=> succ(s162, s163)),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10517,axiom,(succ(s162, s163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound163')).
% 7.60/5.41 tff(10518,plain,
% 7.60/5.41 (succ(s162, s163)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10517, 10516])).
% 7.60/5.41 tff(10519,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10520,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10521,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10520, 10519])).
% 7.60/5.41 tff(10522,plain,
% 7.60/5.41 (trans(s162, s163)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10521, 10518, 39])).
% 7.60/5.41 tff(10523,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10524,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s162, s163)) | (~always3(s162)) | always3(s163))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10525,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s162, s163)) | (~always3(s162)) | always3(s163)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10524, 10523])).
% 7.60/5.41 tff(10526,plain,
% 7.60/5.41 ((~always3(s162)) | always3(s163)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10525, 112, 10522])).
% 7.60/5.41 tff(10527,plain,
% 7.60/5.41 (always3(s163)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10526, 10515])).
% 7.60/5.41 tff(10528,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10529,plain,
% 7.60/5.41 (((~m_main_v_state(s163, c_busy)) | (~always3(s163))) <=> ((~always3(s163)) | (~m_main_v_state(s163, c_busy)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10530,plain,
% 7.60/5.41 (((~![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))))),
% 7.60/5.41 inference(monotonicity,[status(thm)],[10529])).
% 7.60/5.41 tff(10531,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(transitivity,[status(thm)],[10530, 10528])).
% 7.60/5.41 tff(10532,plain,
% 7.60/5.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s163, c_busy)) | (~always3(s163)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10533,plain,
% 7.60/5.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s163)) | (~m_main_v_state(s163, c_busy))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10532, 10531])).
% 7.60/5.41 tff(10534,plain,
% 7.60/5.41 (~m_main_v_state(s163, c_busy)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10533, 72, 10527])).
% 7.60/5.41 tff(10535,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10536,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s162, s163)) | node2(s162, s163))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10537,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s162, s163)) | node2(s162, s163)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10536, 10535])).
% 7.60/5.41 tff(10538,plain,
% 7.60/5.41 (node2(s162, s163)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10537, 7, 10522])).
% 7.60/5.41 tff(10539,plain,
% 7.60/5.41 (((~![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(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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10540,plain,
% 7.60/5.41 ((~![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(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10541,plain,
% 7.60/5.41 ((~![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(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10540, 10539])).
% 7.60/5.41 tff(10542,plain,
% 7.60/5.41 ((~m_main_v_state(s162, c_ready)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162))),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10541, 60, 10538])).
% 7.60/5.41 tff(10543,plain,
% 7.60/5.41 (~m_main_v_state(s162, c_ready)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10542, 10534, 10511])).
% 7.60/5.41 tff(10544,plain,
% 7.60/5.41 (~m_main_v_state(s162, c_busy)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10471, 72, 10515])).
% 7.60/5.41 tff(10545,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10546,plain,
% 7.60/5.41 ((~![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))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10547,plain,
% 7.60/5.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s162, c_busy) | m_main_v_state(s162, c_ready)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10546, 10545])).
% 7.60/5.41 tff(10548,plain,
% 7.60/5.41 ($false),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10547, 89, 10544, 10543])).
% 7.60/5.41 tff(10549,plain,(~node4(s162)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.41 tff(10550,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10551,plain,
% 7.60/5.41 ((node4(s162) | (~until5(s162)) | xuntil6(s162)) <=> (xuntil6(s162) | node4(s162) | (~until5(s162)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10552,plain,
% 7.60/5.41 (((~![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))))),
% 7.60/5.41 inference(monotonicity,[status(thm)],[10551])).
% 7.60/5.41 tff(10553,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(transitivity,[status(thm)],[10552, 10550])).
% 7.60/5.41 tff(10554,plain,
% 7.60/5.41 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s162) | (~until5(s162)) | xuntil6(s162))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10555,plain,
% 7.60/5.41 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s162) | node4(s162) | (~until5(s162))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10554, 10553])).
% 7.60/5.41 tff(10556,plain,
% 7.60/5.41 (xuntil6(s162) | (~until5(s162))),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10555, 352, 10549])).
% 7.60/5.41 tff(10557,plain,
% 7.60/5.41 (xuntil6(s162)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10556, 10506])).
% 7.60/5.41 tff(10558,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10559,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10560,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10559, 10558])).
% 7.60/5.41 tff(10561,plain,
% 7.60/5.41 ((~xuntil6(s162)) | until5(s163)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10560, 10518, 370])).
% 7.60/5.41 tff(10562,plain,
% 7.60/5.41 (until5(s163)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10561, 10557])).
% 7.60/5.41 tff(10563,assumption,(node4(s163)), introduced(assumption)).
% 7.60/5.41 tff(10564,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10565,plain,
% 7.60/5.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s163) | (~node4(s163)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10566,plain,
% 7.60/5.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s163) | (~node4(s163))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10565, 10564])).
% 7.60/5.41 tff(10567,plain,
% 7.60/5.41 (m_main_v_request(s163)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10566, 28, 10563])).
% 7.60/5.41 tff(10568,plain,
% 7.60/5.41 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s163) | (~node4(s163)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s163) | (~node4(s163)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10569,plain,
% 7.60/5.41 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s163) | (~node4(s163)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10570,plain,
% 7.60/5.41 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s163) | (~node4(s163))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10569, 10568])).
% 7.60/5.41 tff(10571,plain,
% 7.60/5.41 (always3(s163)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10570, 16, 10563])).
% 7.60/5.41 tff(10572,plain,
% 7.60/5.41 (succ(s163, s164) <=> succ(s163, s164)),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10573,axiom,(succ(s163, s164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound164')).
% 7.60/5.41 tff(10574,plain,
% 7.60/5.41 (succ(s163, s164)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10573, 10572])).
% 7.60/5.41 tff(10575,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10576,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10577,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10576, 10575])).
% 7.60/5.41 tff(10578,plain,
% 7.60/5.41 (trans(s163, s164)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10577, 10574, 39])).
% 7.60/5.41 tff(10579,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10580,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s163, s164)) | (~always3(s163)) | always3(s164))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10581,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s163, s164)) | (~always3(s163)) | always3(s164)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10580, 10579])).
% 7.60/5.41 tff(10582,plain,
% 7.60/5.41 ((~always3(s163)) | always3(s164)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10581, 112, 10578])).
% 7.60/5.41 tff(10583,plain,
% 7.60/5.41 (always3(s164)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10582, 10571])).
% 7.60/5.41 tff(10584,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10585,plain,
% 7.60/5.41 (((~m_main_v_state(s164, c_busy)) | (~always3(s164))) <=> ((~always3(s164)) | (~m_main_v_state(s164, c_busy)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10586,plain,
% 7.60/5.41 (((~![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))))),
% 7.60/5.41 inference(monotonicity,[status(thm)],[10585])).
% 7.60/5.41 tff(10587,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(transitivity,[status(thm)],[10586, 10584])).
% 7.60/5.41 tff(10588,plain,
% 7.60/5.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s164, c_busy)) | (~always3(s164)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10589,plain,
% 7.60/5.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s164)) | (~m_main_v_state(s164, c_busy))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10588, 10587])).
% 7.60/5.41 tff(10590,plain,
% 7.60/5.41 (~m_main_v_state(s164, c_busy)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10589, 72, 10583])).
% 7.60/5.41 tff(10591,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10592,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s163, s164)) | node2(s163, s164))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10593,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s163, s164)) | node2(s163, s164)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10592, 10591])).
% 7.60/5.41 tff(10594,plain,
% 7.60/5.41 (node2(s163, s164)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10593, 7, 10578])).
% 7.60/5.41 tff(10595,plain,
% 7.60/5.41 (((~![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(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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10596,plain,
% 7.60/5.41 ((~![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(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10597,plain,
% 7.60/5.41 ((~![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(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10596, 10595])).
% 7.60/5.41 tff(10598,plain,
% 7.60/5.41 ((~m_main_v_state(s163, c_ready)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163))),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10597, 60, 10594])).
% 7.60/5.41 tff(10599,plain,
% 7.60/5.41 (~m_main_v_state(s163, c_ready)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10598, 10590, 10567])).
% 7.60/5.41 tff(10600,plain,
% 7.60/5.41 (~m_main_v_state(s163, c_busy)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10533, 72, 10571])).
% 7.60/5.41 tff(10601,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10602,plain,
% 7.60/5.41 ((~![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))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10603,plain,
% 7.60/5.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s163, c_busy) | m_main_v_state(s163, c_ready)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10602, 10601])).
% 7.60/5.41 tff(10604,plain,
% 7.60/5.41 ($false),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10603, 89, 10600, 10599])).
% 7.60/5.41 tff(10605,plain,(~node4(s163)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.41 tff(10606,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10607,plain,
% 7.60/5.41 ((node4(s163) | (~until5(s163)) | xuntil6(s163)) <=> (xuntil6(s163) | node4(s163) | (~until5(s163)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10608,plain,
% 7.60/5.41 (((~![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))))),
% 7.60/5.41 inference(monotonicity,[status(thm)],[10607])).
% 7.60/5.41 tff(10609,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(transitivity,[status(thm)],[10608, 10606])).
% 7.60/5.41 tff(10610,plain,
% 7.60/5.41 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s163) | (~until5(s163)) | xuntil6(s163))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10611,plain,
% 7.60/5.41 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s163) | node4(s163) | (~until5(s163))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10610, 10609])).
% 7.60/5.41 tff(10612,plain,
% 7.60/5.41 (xuntil6(s163) | (~until5(s163))),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10611, 352, 10605])).
% 7.60/5.41 tff(10613,plain,
% 7.60/5.41 (xuntil6(s163)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10612, 10562])).
% 7.60/5.41 tff(10614,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10615,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10616,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10615, 10614])).
% 7.60/5.41 tff(10617,plain,
% 7.60/5.41 ((~xuntil6(s163)) | until5(s164)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10616, 10574, 370])).
% 7.60/5.41 tff(10618,plain,
% 7.60/5.41 (until5(s164)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10617, 10613])).
% 7.60/5.41 tff(10619,assumption,(node4(s164)), introduced(assumption)).
% 7.60/5.41 tff(10620,assumption,(m_main_v_request(s164)), introduced(assumption)).
% 7.60/5.41 tff(10621,plain,
% 7.60/5.41 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s164) | (~node4(s164)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s164) | (~node4(s164)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10622,plain,
% 7.60/5.41 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s164) | (~node4(s164)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10623,plain,
% 7.60/5.41 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s164) | (~node4(s164))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10622, 10621])).
% 7.60/5.41 tff(10624,plain,
% 7.60/5.41 (always3(s164)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10623, 16, 10619])).
% 7.60/5.41 tff(10625,plain,
% 7.60/5.41 (succ(s164, s165) <=> succ(s164, s165)),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10626,axiom,(succ(s164, s165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound165')).
% 7.60/5.41 tff(10627,plain,
% 7.60/5.41 (succ(s164, s165)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10626, 10625])).
% 7.60/5.41 tff(10628,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10629,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10630,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10629, 10628])).
% 7.60/5.41 tff(10631,plain,
% 7.60/5.41 (trans(s164, s165)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10630, 10627, 39])).
% 7.60/5.41 tff(10632,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10633,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s164, s165)) | (~always3(s164)) | always3(s165))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10634,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s164, s165)) | (~always3(s164)) | always3(s165)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10633, 10632])).
% 7.60/5.41 tff(10635,plain,
% 7.60/5.41 ((~always3(s164)) | always3(s165)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10634, 112, 10631])).
% 7.60/5.41 tff(10636,plain,
% 7.60/5.41 (always3(s165)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10635, 10624])).
% 7.60/5.41 tff(10637,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10638,plain,
% 7.60/5.41 (((~m_main_v_state(s165, c_busy)) | (~always3(s165))) <=> ((~always3(s165)) | (~m_main_v_state(s165, c_busy)))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10639,plain,
% 7.60/5.41 (((~![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))))),
% 7.60/5.41 inference(monotonicity,[status(thm)],[10638])).
% 7.60/5.41 tff(10640,plain,
% 7.60/5.41 (((~![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)))),
% 7.60/5.41 inference(transitivity,[status(thm)],[10639, 10637])).
% 7.60/5.41 tff(10641,plain,
% 7.60/5.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s165, c_busy)) | (~always3(s165)))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10642,plain,
% 7.60/5.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s165)) | (~m_main_v_state(s165, c_busy))),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10641, 10640])).
% 7.60/5.41 tff(10643,plain,
% 7.60/5.41 (~m_main_v_state(s165, c_busy)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10642, 72, 10636])).
% 7.60/5.41 tff(10644,plain,
% 7.60/5.41 (((~![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))),
% 7.60/5.41 inference(rewrite,[status(thm)],[])).
% 7.60/5.41 tff(10645,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s164, s165)) | node2(s164, s165))),
% 7.60/5.41 inference(quant_inst,[status(thm)],[])).
% 7.60/5.41 tff(10646,plain,
% 7.60/5.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s164, s165)) | node2(s164, s165)),
% 7.60/5.41 inference(modus_ponens,[status(thm)],[10645, 10644])).
% 7.60/5.41 tff(10647,plain,
% 7.60/5.41 (node2(s164, s165)),
% 7.60/5.41 inference(unit_resolution,[status(thm)],[10646, 7, 10631])).
% 7.60/5.41 tff(10648,plain,
% 7.60/5.41 (((~![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(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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10649,plain,
% 7.60/5.42 ((~![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(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10650,plain,
% 7.60/5.42 ((~![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(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10649, 10648])).
% 7.60/5.42 tff(10651,plain,
% 7.60/5.42 ((~m_main_v_state(s164, c_ready)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164))),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10650, 60, 10647])).
% 7.60/5.42 tff(10652,plain,
% 7.60/5.42 (~m_main_v_state(s164, c_ready)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10651, 10643, 10620])).
% 7.60/5.42 tff(10653,plain,
% 7.60/5.42 (~m_main_v_state(s164, c_busy)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10589, 72, 10624])).
% 7.60/5.42 tff(10654,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10655,plain,
% 7.60/5.42 ((~![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))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10656,plain,
% 7.60/5.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s164, c_busy) | m_main_v_state(s164, c_ready)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10655, 10654])).
% 7.60/5.42 tff(10657,plain,
% 7.60/5.42 ($false),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10656, 89, 10653, 10652])).
% 7.60/5.42 tff(10658,plain,((~m_main_v_request(s164)) | (~node4(s164))), inference(lemma,lemma(discharge,[]))).
% 7.60/5.42 tff(10659,plain,
% 7.60/5.42 (~m_main_v_request(s164)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10658, 10619])).
% 7.60/5.42 tff(10660,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10661,plain,
% 7.60/5.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s164) | (~node4(s164)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10662,plain,
% 7.60/5.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s164) | (~node4(s164))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10661, 10660])).
% 7.60/5.42 tff(10663,plain,
% 7.60/5.42 ($false),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10662, 28, 10659, 10619])).
% 7.60/5.42 tff(10664,plain,(~node4(s164)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.42 tff(10665,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10666,plain,
% 7.60/5.42 ((node4(s164) | (~until5(s164)) | xuntil6(s164)) <=> (xuntil6(s164) | node4(s164) | (~until5(s164)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10667,plain,
% 7.60/5.42 (((~![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))))),
% 7.60/5.42 inference(monotonicity,[status(thm)],[10666])).
% 7.60/5.42 tff(10668,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(transitivity,[status(thm)],[10667, 10665])).
% 7.60/5.42 tff(10669,plain,
% 7.60/5.42 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s164) | (~until5(s164)) | xuntil6(s164))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10670,plain,
% 7.60/5.42 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s164) | node4(s164) | (~until5(s164))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10669, 10668])).
% 7.60/5.42 tff(10671,plain,
% 7.60/5.42 (xuntil6(s164) | (~until5(s164))),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10670, 352, 10664])).
% 7.60/5.42 tff(10672,plain,
% 7.60/5.42 (xuntil6(s164)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10671, 10618])).
% 7.60/5.42 tff(10673,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10674,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10675,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10674, 10673])).
% 7.60/5.42 tff(10676,plain,
% 7.60/5.42 ((~xuntil6(s164)) | until5(s165)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10675, 10627, 370])).
% 7.60/5.42 tff(10677,plain,
% 7.60/5.42 (until5(s165)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10676, 10672])).
% 7.60/5.42 tff(10678,assumption,(node4(s165)), introduced(assumption)).
% 7.60/5.42 tff(10679,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10680,plain,
% 7.60/5.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s165) | (~node4(s165)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10681,plain,
% 7.60/5.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s165) | (~node4(s165))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10680, 10679])).
% 7.60/5.42 tff(10682,plain,
% 7.60/5.42 (m_main_v_request(s165)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10681, 28, 10678])).
% 7.60/5.42 tff(10683,plain,
% 7.60/5.42 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s165) | (~node4(s165)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s165) | (~node4(s165)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10684,plain,
% 7.60/5.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s165) | (~node4(s165)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10685,plain,
% 7.60/5.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s165) | (~node4(s165))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10684, 10683])).
% 7.60/5.42 tff(10686,plain,
% 7.60/5.42 (always3(s165)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10685, 16, 10678])).
% 7.60/5.42 tff(10687,plain,
% 7.60/5.42 (succ(s165, s166) <=> succ(s165, s166)),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10688,axiom,(succ(s165, s166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound166')).
% 7.60/5.42 tff(10689,plain,
% 7.60/5.42 (succ(s165, s166)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10688, 10687])).
% 7.60/5.42 tff(10690,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10691,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10692,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10691, 10690])).
% 7.60/5.42 tff(10693,plain,
% 7.60/5.42 (trans(s165, s166)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10692, 10689, 39])).
% 7.60/5.42 tff(10694,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10695,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s165, s166)) | (~always3(s165)) | always3(s166))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10696,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s165, s166)) | (~always3(s165)) | always3(s166)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10695, 10694])).
% 7.60/5.42 tff(10697,plain,
% 7.60/5.42 ((~always3(s165)) | always3(s166)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10696, 112, 10693])).
% 7.60/5.42 tff(10698,plain,
% 7.60/5.42 (always3(s166)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10697, 10686])).
% 7.60/5.42 tff(10699,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10700,plain,
% 7.60/5.42 (((~m_main_v_state(s166, c_busy)) | (~always3(s166))) <=> ((~always3(s166)) | (~m_main_v_state(s166, c_busy)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10701,plain,
% 7.60/5.42 (((~![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))))),
% 7.60/5.42 inference(monotonicity,[status(thm)],[10700])).
% 7.60/5.42 tff(10702,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(transitivity,[status(thm)],[10701, 10699])).
% 7.60/5.42 tff(10703,plain,
% 7.60/5.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s166, c_busy)) | (~always3(s166)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10704,plain,
% 7.60/5.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s166)) | (~m_main_v_state(s166, c_busy))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10703, 10702])).
% 7.60/5.42 tff(10705,plain,
% 7.60/5.42 (~m_main_v_state(s166, c_busy)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10704, 72, 10698])).
% 7.60/5.42 tff(10706,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10707,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s165, s166)) | node2(s165, s166))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10708,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s165, s166)) | node2(s165, s166)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10707, 10706])).
% 7.60/5.42 tff(10709,plain,
% 7.60/5.42 (node2(s165, s166)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10708, 7, 10693])).
% 7.60/5.42 tff(10710,plain,
% 7.60/5.42 (((~![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(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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10711,plain,
% 7.60/5.42 ((~![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(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10712,plain,
% 7.60/5.42 ((~![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(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10711, 10710])).
% 7.60/5.42 tff(10713,plain,
% 7.60/5.42 ((~m_main_v_state(s165, c_ready)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165))),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10712, 60, 10709])).
% 7.60/5.42 tff(10714,plain,
% 7.60/5.42 (~m_main_v_state(s165, c_ready)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10713, 10705, 10682])).
% 7.60/5.42 tff(10715,plain,
% 7.60/5.42 (~m_main_v_state(s165, c_busy)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10642, 72, 10686])).
% 7.60/5.42 tff(10716,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10717,plain,
% 7.60/5.42 ((~![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))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10718,plain,
% 7.60/5.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s165, c_busy) | m_main_v_state(s165, c_ready)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 7.60/5.42 tff(10719,plain,
% 7.60/5.42 ($false),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10718, 89, 10715, 10714])).
% 7.60/5.42 tff(10720,plain,(~node4(s165)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.42 tff(10721,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10722,plain,
% 7.60/5.42 ((node4(s165) | (~until5(s165)) | xuntil6(s165)) <=> (xuntil6(s165) | node4(s165) | (~until5(s165)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10723,plain,
% 7.60/5.42 (((~![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))))),
% 7.60/5.42 inference(monotonicity,[status(thm)],[10722])).
% 7.60/5.42 tff(10724,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(transitivity,[status(thm)],[10723, 10721])).
% 7.60/5.42 tff(10725,plain,
% 7.60/5.42 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s165) | (~until5(s165)) | xuntil6(s165))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10726,plain,
% 7.60/5.42 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s165) | node4(s165) | (~until5(s165))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10725, 10724])).
% 7.60/5.42 tff(10727,plain,
% 7.60/5.42 (xuntil6(s165) | (~until5(s165))),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10726, 352, 10720])).
% 7.60/5.42 tff(10728,plain,
% 7.60/5.42 (xuntil6(s165)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10727, 10677])).
% 7.60/5.42 tff(10729,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10730,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10731,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10730, 10729])).
% 7.60/5.42 tff(10732,plain,
% 7.60/5.42 ((~xuntil6(s165)) | until5(s166)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10731, 10689, 370])).
% 7.60/5.42 tff(10733,plain,
% 7.60/5.42 (until5(s166)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10732, 10728])).
% 7.60/5.42 tff(10734,assumption,(node4(s166)), introduced(assumption)).
% 7.60/5.42 tff(10735,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10736,plain,
% 7.60/5.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s166) | (~node4(s166)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10737,plain,
% 7.60/5.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s166) | (~node4(s166))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10736, 10735])).
% 7.60/5.42 tff(10738,plain,
% 7.60/5.42 (m_main_v_request(s166)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10737, 28, 10734])).
% 7.60/5.42 tff(10739,plain,
% 7.60/5.42 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s166) | (~node4(s166)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s166) | (~node4(s166)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10740,plain,
% 7.60/5.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s166) | (~node4(s166)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10741,plain,
% 7.60/5.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s166) | (~node4(s166))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10740, 10739])).
% 7.60/5.42 tff(10742,plain,
% 7.60/5.42 (always3(s166)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10741, 16, 10734])).
% 7.60/5.42 tff(10743,plain,
% 7.60/5.42 (succ(s166, s167) <=> succ(s166, s167)),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10744,axiom,(succ(s166, s167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound167')).
% 7.60/5.42 tff(10745,plain,
% 7.60/5.42 (succ(s166, s167)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 7.60/5.42 tff(10746,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10747,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10748,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10747, 10746])).
% 7.60/5.42 tff(10749,plain,
% 7.60/5.42 (trans(s166, s167)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10748, 10745, 39])).
% 7.60/5.42 tff(10750,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10751,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s166, s167)) | (~always3(s166)) | always3(s167))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10752,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s166, s167)) | (~always3(s166)) | always3(s167)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10751, 10750])).
% 7.60/5.42 tff(10753,plain,
% 7.60/5.42 ((~always3(s166)) | always3(s167)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10752, 112, 10749])).
% 7.60/5.42 tff(10754,plain,
% 7.60/5.42 (always3(s167)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10753, 10742])).
% 7.60/5.42 tff(10755,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10756,plain,
% 7.60/5.42 (((~m_main_v_state(s167, c_busy)) | (~always3(s167))) <=> ((~always3(s167)) | (~m_main_v_state(s167, c_busy)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10757,plain,
% 7.60/5.42 (((~![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))))),
% 7.60/5.42 inference(monotonicity,[status(thm)],[10756])).
% 7.60/5.42 tff(10758,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(transitivity,[status(thm)],[10757, 10755])).
% 7.60/5.42 tff(10759,plain,
% 7.60/5.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s167, c_busy)) | (~always3(s167)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10760,plain,
% 7.60/5.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s167)) | (~m_main_v_state(s167, c_busy))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10759, 10758])).
% 7.60/5.42 tff(10761,plain,
% 7.60/5.42 (~m_main_v_state(s167, c_busy)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10760, 72, 10754])).
% 7.60/5.42 tff(10762,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10763,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s166, s167)) | node2(s166, s167))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10764,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s166, s167)) | node2(s166, s167)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10763, 10762])).
% 7.60/5.42 tff(10765,plain,
% 7.60/5.42 (node2(s166, s167)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10764, 7, 10749])).
% 7.60/5.42 tff(10766,plain,
% 7.60/5.42 (((~![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(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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10767,plain,
% 7.60/5.42 ((~![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(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10768,plain,
% 7.60/5.42 ((~![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(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10767, 10766])).
% 7.60/5.42 tff(10769,plain,
% 7.60/5.42 ((~m_main_v_state(s166, c_ready)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166))),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10768, 60, 10765])).
% 7.60/5.42 tff(10770,plain,
% 7.60/5.42 (~m_main_v_state(s166, c_ready)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10769, 10761, 10738])).
% 7.60/5.42 tff(10771,plain,
% 7.60/5.42 (~m_main_v_state(s166, c_busy)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10704, 72, 10742])).
% 7.60/5.42 tff(10772,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10773,plain,
% 7.60/5.42 ((~![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))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10774,plain,
% 7.60/5.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s166, c_busy) | m_main_v_state(s166, c_ready)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10773, 10772])).
% 7.60/5.42 tff(10775,plain,
% 7.60/5.42 ($false),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10774, 89, 10771, 10770])).
% 7.60/5.42 tff(10776,plain,(~node4(s166)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.42 tff(10777,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10778,plain,
% 7.60/5.42 ((node4(s166) | (~until5(s166)) | xuntil6(s166)) <=> (xuntil6(s166) | node4(s166) | (~until5(s166)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10779,plain,
% 7.60/5.42 (((~![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))))),
% 7.60/5.42 inference(monotonicity,[status(thm)],[10778])).
% 7.60/5.42 tff(10780,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(transitivity,[status(thm)],[10779, 10777])).
% 7.60/5.42 tff(10781,plain,
% 7.60/5.42 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s166) | (~until5(s166)) | xuntil6(s166))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10782,plain,
% 7.60/5.42 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s166) | node4(s166) | (~until5(s166))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10781, 10780])).
% 7.60/5.42 tff(10783,plain,
% 7.60/5.42 (xuntil6(s166) | (~until5(s166))),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10782, 352, 10776])).
% 7.60/5.42 tff(10784,plain,
% 7.60/5.42 (xuntil6(s166)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10783, 10733])).
% 7.60/5.42 tff(10785,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10786,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10787,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10786, 10785])).
% 7.60/5.42 tff(10788,plain,
% 7.60/5.42 ((~xuntil6(s166)) | until5(s167)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10787, 10745, 370])).
% 7.60/5.42 tff(10789,plain,
% 7.60/5.42 (until5(s167)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10788, 10784])).
% 7.60/5.42 tff(10790,assumption,(node4(s167)), introduced(assumption)).
% 7.60/5.42 tff(10791,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10792,plain,
% 7.60/5.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s167) | (~node4(s167)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10793,plain,
% 7.60/5.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s167) | (~node4(s167))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10792, 10791])).
% 7.60/5.42 tff(10794,plain,
% 7.60/5.42 (m_main_v_request(s167)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10793, 28, 10790])).
% 7.60/5.42 tff(10795,plain,
% 7.60/5.42 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s167) | (~node4(s167)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s167) | (~node4(s167)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10796,plain,
% 7.60/5.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s167) | (~node4(s167)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10797,plain,
% 7.60/5.42 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s167) | (~node4(s167))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10796, 10795])).
% 7.60/5.42 tff(10798,plain,
% 7.60/5.42 (always3(s167)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10797, 16, 10790])).
% 7.60/5.42 tff(10799,plain,
% 7.60/5.42 (succ(s167, s168) <=> succ(s167, s168)),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10800,axiom,(succ(s167, s168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound168')).
% 7.60/5.42 tff(10801,plain,
% 7.60/5.42 (succ(s167, s168)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10800, 10799])).
% 7.60/5.42 tff(10802,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10803,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10804,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10803, 10802])).
% 7.60/5.42 tff(10805,plain,
% 7.60/5.42 (trans(s167, s168)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10804, 10801, 39])).
% 7.60/5.42 tff(10806,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10807,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s167, s168)) | (~always3(s167)) | always3(s168))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10808,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s167, s168)) | (~always3(s167)) | always3(s168)),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10807, 10806])).
% 7.60/5.42 tff(10809,plain,
% 7.60/5.42 ((~always3(s167)) | always3(s168)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10808, 112, 10805])).
% 7.60/5.42 tff(10810,plain,
% 7.60/5.42 (always3(s168)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10809, 10798])).
% 7.60/5.42 tff(10811,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10812,plain,
% 7.60/5.42 (((~m_main_v_state(s168, c_busy)) | (~always3(s168))) <=> ((~always3(s168)) | (~m_main_v_state(s168, c_busy)))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10813,plain,
% 7.60/5.42 (((~![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))))),
% 7.60/5.42 inference(monotonicity,[status(thm)],[10812])).
% 7.60/5.42 tff(10814,plain,
% 7.60/5.42 (((~![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)))),
% 7.60/5.42 inference(transitivity,[status(thm)],[10813, 10811])).
% 7.60/5.42 tff(10815,plain,
% 7.60/5.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s168, c_busy)) | (~always3(s168)))),
% 7.60/5.42 inference(quant_inst,[status(thm)],[])).
% 7.60/5.42 tff(10816,plain,
% 7.60/5.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s168)) | (~m_main_v_state(s168, c_busy))),
% 7.60/5.42 inference(modus_ponens,[status(thm)],[10815, 10814])).
% 7.60/5.42 tff(10817,plain,
% 7.60/5.42 (~m_main_v_state(s168, c_busy)),
% 7.60/5.42 inference(unit_resolution,[status(thm)],[10816, 72, 10810])).
% 7.60/5.42 tff(10818,plain,
% 7.60/5.42 (((~![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))),
% 7.60/5.42 inference(rewrite,[status(thm)],[])).
% 7.60/5.42 tff(10819,plain,
% 7.60/5.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s167, s168)) | node2(s167, s168))),
% 7.60/5.43 inference(quant_inst,[status(thm)],[])).
% 7.60/5.43 tff(10820,plain,
% 7.60/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s167, s168)) | node2(s167, s168)),
% 7.60/5.43 inference(modus_ponens,[status(thm)],[10819, 10818])).
% 7.60/5.43 tff(10821,plain,
% 7.60/5.43 (node2(s167, s168)),
% 7.60/5.43 inference(unit_resolution,[status(thm)],[10820, 7, 10805])).
% 7.60/5.43 tff(10822,plain,
% 7.60/5.43 (((~![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(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)))),
% 7.60/5.43 inference(rewrite,[status(thm)],[])).
% 7.60/5.43 tff(10823,plain,
% 7.60/5.43 ((~![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(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167)))),
% 7.60/5.43 inference(quant_inst,[status(thm)],[])).
% 7.60/5.43 tff(10824,plain,
% 7.60/5.43 ((~![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(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167))),
% 7.60/5.43 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 7.60/5.43 tff(10825,plain,
% 7.60/5.43 ((~m_main_v_state(s167, c_ready)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167))),
% 7.60/5.43 inference(unit_resolution,[status(thm)],[10824, 60, 10821])).
% 7.60/5.43 tff(10826,plain,
% 7.60/5.43 (~m_main_v_state(s167, c_ready)),
% 7.60/5.43 inference(unit_resolution,[status(thm)],[10825, 10817, 10794])).
% 7.60/5.43 tff(10827,plain,
% 7.60/5.43 (~m_main_v_state(s167, c_busy)),
% 7.60/5.43 inference(unit_resolution,[status(thm)],[10760, 72, 10798])).
% 7.60/5.43 tff(10828,plain,
% 7.60/5.43 (((~![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))),
% 7.60/5.43 inference(rewrite,[status(thm)],[])).
% 7.60/5.43 tff(10829,plain,
% 7.60/5.43 ((~![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))),
% 7.60/5.43 inference(quant_inst,[status(thm)],[])).
% 7.60/5.43 tff(10830,plain,
% 7.60/5.43 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s167, c_busy) | m_main_v_state(s167, c_ready)),
% 7.60/5.43 inference(modus_ponens,[status(thm)],[10829, 10828])).
% 7.60/5.43 tff(10831,plain,
% 7.60/5.43 ($false),
% 7.60/5.43 inference(unit_resolution,[status(thm)],[10830, 89, 10827, 10826])).
% 7.60/5.43 tff(10832,plain,(~node4(s167)), inference(lemma,lemma(discharge,[]))).
% 7.60/5.43 tff(10833,plain,
% 7.60/5.43 (((~![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)))),
% 7.60/5.43 inference(rewrite,[status(thm)],[])).
% 7.60/5.43 tff(10834,plain,
% 7.60/5.43 ((node4(s167) | (~until5(s167)) | xuntil6(s167)) <=> (xuntil6(s167) | node4(s167) | (~until5(s167)))),
% 7.60/5.43 inference(rewrite,[status(thm)],[])).
% 7.60/5.43 tff(10835,plain,
% 7.60/5.43 (((~![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))))),
% 7.60/5.43 inference(monotonicity,[status(thm)],[10834])).
% 7.60/5.43 tff(10836,plain,
% 7.60/5.43 (((~![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)))),
% 7.60/5.43 inference(transitivity,[status(thm)],[10835, 10833])).
% 7.60/5.43 tff(10837,plain,
% 7.60/5.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s167) | (~until5(s167)) | xuntil6(s167))),
% 7.60/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10838,plain,
% 7.65/5.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s167) | node4(s167) | (~until5(s167))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10837, 10836])).
% 7.65/5.43 tff(10839,plain,
% 7.65/5.43 (xuntil6(s167) | (~until5(s167))),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10838, 352, 10832])).
% 7.65/5.43 tff(10840,plain,
% 7.65/5.43 (xuntil6(s167)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10839, 10789])).
% 7.65/5.43 tff(10841,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10842,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10843,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10842, 10841])).
% 7.65/5.43 tff(10844,plain,
% 7.65/5.43 ((~xuntil6(s167)) | until5(s168)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10843, 10801, 370])).
% 7.65/5.43 tff(10845,plain,
% 7.65/5.43 (until5(s168)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10844, 10840])).
% 7.65/5.43 tff(10846,assumption,(node4(s168)), introduced(assumption)).
% 7.65/5.43 tff(10847,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10848,plain,
% 7.65/5.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s168) | (~node4(s168)))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10849,plain,
% 7.65/5.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s168) | (~node4(s168))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10848, 10847])).
% 7.65/5.43 tff(10850,plain,
% 7.65/5.43 (m_main_v_request(s168)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10849, 28, 10846])).
% 7.65/5.43 tff(10851,plain,
% 7.65/5.43 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s168) | (~node4(s168)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s168) | (~node4(s168)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10852,plain,
% 7.65/5.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s168) | (~node4(s168)))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10853,plain,
% 7.65/5.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s168) | (~node4(s168))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10852, 10851])).
% 7.65/5.43 tff(10854,plain,
% 7.65/5.43 (always3(s168)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10853, 16, 10846])).
% 7.65/5.43 tff(10855,plain,
% 7.65/5.43 (succ(s168, s169) <=> succ(s168, s169)),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10856,axiom,(succ(s168, s169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound169')).
% 7.65/5.43 tff(10857,plain,
% 7.65/5.43 (succ(s168, s169)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10856, 10855])).
% 7.65/5.43 tff(10858,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10859,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10860,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10859, 10858])).
% 7.65/5.43 tff(10861,plain,
% 7.65/5.43 (trans(s168, s169)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10860, 10857, 39])).
% 7.65/5.43 tff(10862,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10863,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s168, s169)) | (~always3(s168)) | always3(s169))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10864,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s168, s169)) | (~always3(s168)) | always3(s169)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10863, 10862])).
% 7.65/5.43 tff(10865,plain,
% 7.65/5.43 ((~always3(s168)) | always3(s169)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10864, 112, 10861])).
% 7.65/5.43 tff(10866,plain,
% 7.65/5.43 (always3(s169)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10865, 10854])).
% 7.65/5.43 tff(10867,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10868,plain,
% 7.65/5.43 (((~m_main_v_state(s169, c_busy)) | (~always3(s169))) <=> ((~always3(s169)) | (~m_main_v_state(s169, c_busy)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10869,plain,
% 7.65/5.43 (((~![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))))),
% 7.65/5.43 inference(monotonicity,[status(thm)],[10868])).
% 7.65/5.43 tff(10870,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(transitivity,[status(thm)],[10869, 10867])).
% 7.65/5.43 tff(10871,plain,
% 7.65/5.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s169, c_busy)) | (~always3(s169)))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10872,plain,
% 7.65/5.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s169)) | (~m_main_v_state(s169, c_busy))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10871, 10870])).
% 7.65/5.43 tff(10873,plain,
% 7.65/5.43 (~m_main_v_state(s169, c_busy)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10872, 72, 10866])).
% 7.65/5.43 tff(10874,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10875,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s168, s169)) | node2(s168, s169))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10876,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s168, s169)) | node2(s168, s169)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10875, 10874])).
% 7.65/5.43 tff(10877,plain,
% 7.65/5.43 (node2(s168, s169)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10876, 7, 10861])).
% 7.65/5.43 tff(10878,plain,
% 7.65/5.43 (((~![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(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)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10879,plain,
% 7.65/5.43 ((~![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(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168)))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10880,plain,
% 7.65/5.43 ((~![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(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10879, 10878])).
% 7.65/5.43 tff(10881,plain,
% 7.65/5.43 ((~m_main_v_state(s168, c_ready)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168))),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10880, 60, 10877])).
% 7.65/5.43 tff(10882,plain,
% 7.65/5.43 (~m_main_v_state(s168, c_ready)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10881, 10873, 10850])).
% 7.65/5.43 tff(10883,plain,
% 7.65/5.43 (~m_main_v_state(s168, c_busy)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10816, 72, 10854])).
% 7.65/5.43 tff(10884,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10885,plain,
% 7.65/5.43 ((~![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))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10886,plain,
% 7.65/5.43 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s168, c_busy) | m_main_v_state(s168, c_ready)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10885, 10884])).
% 7.65/5.43 tff(10887,plain,
% 7.65/5.43 ($false),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10886, 89, 10883, 10882])).
% 7.65/5.43 tff(10888,plain,(~node4(s168)), inference(lemma,lemma(discharge,[]))).
% 7.65/5.43 tff(10889,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10890,plain,
% 7.65/5.43 ((node4(s168) | (~until5(s168)) | xuntil6(s168)) <=> (xuntil6(s168) | node4(s168) | (~until5(s168)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10891,plain,
% 7.65/5.43 (((~![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))))),
% 7.65/5.43 inference(monotonicity,[status(thm)],[10890])).
% 7.65/5.43 tff(10892,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(transitivity,[status(thm)],[10891, 10889])).
% 7.65/5.43 tff(10893,plain,
% 7.65/5.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s168) | (~until5(s168)) | xuntil6(s168))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10894,plain,
% 7.65/5.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s168) | node4(s168) | (~until5(s168))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10893, 10892])).
% 7.65/5.43 tff(10895,plain,
% 7.65/5.43 (xuntil6(s168) | (~until5(s168))),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10894, 352, 10888])).
% 7.65/5.43 tff(10896,plain,
% 7.65/5.43 (xuntil6(s168)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10895, 10845])).
% 7.65/5.43 tff(10897,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10898,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10899,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10898, 10897])).
% 7.65/5.43 tff(10900,plain,
% 7.65/5.43 ((~xuntil6(s168)) | until5(s169)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10899, 10857, 370])).
% 7.65/5.43 tff(10901,plain,
% 7.65/5.43 (until5(s169)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10900, 10896])).
% 7.65/5.43 tff(10902,assumption,(node4(s169)), introduced(assumption)).
% 7.65/5.43 tff(10903,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10904,plain,
% 7.65/5.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s169) | (~node4(s169)))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10905,plain,
% 7.65/5.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s169) | (~node4(s169))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10904, 10903])).
% 7.65/5.43 tff(10906,plain,
% 7.65/5.43 (m_main_v_request(s169)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10905, 28, 10902])).
% 7.65/5.43 tff(10907,plain,
% 7.65/5.43 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s169) | (~node4(s169)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s169) | (~node4(s169)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10908,plain,
% 7.65/5.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s169) | (~node4(s169)))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10909,plain,
% 7.65/5.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s169) | (~node4(s169))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10908, 10907])).
% 7.65/5.43 tff(10910,plain,
% 7.65/5.43 (always3(s169)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10909, 16, 10902])).
% 7.65/5.43 tff(10911,plain,
% 7.65/5.43 (succ(s169, s170) <=> succ(s169, s170)),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10912,axiom,(succ(s169, s170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound170')).
% 7.65/5.43 tff(10913,plain,
% 7.65/5.43 (succ(s169, s170)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10912, 10911])).
% 7.65/5.43 tff(10914,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10915,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10916,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10915, 10914])).
% 7.65/5.43 tff(10917,plain,
% 7.65/5.43 (trans(s169, s170)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10916, 10913, 39])).
% 7.65/5.43 tff(10918,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10919,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s169, s170)) | (~always3(s169)) | always3(s170))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10920,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s169, s170)) | (~always3(s169)) | always3(s170)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10919, 10918])).
% 7.65/5.43 tff(10921,plain,
% 7.65/5.43 ((~always3(s169)) | always3(s170)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10920, 112, 10917])).
% 7.65/5.43 tff(10922,plain,
% 7.65/5.43 (always3(s170)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10921, 10910])).
% 7.65/5.43 tff(10923,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10924,plain,
% 7.65/5.43 (((~m_main_v_state(s170, c_busy)) | (~always3(s170))) <=> ((~always3(s170)) | (~m_main_v_state(s170, c_busy)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10925,plain,
% 7.65/5.43 (((~![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))))),
% 7.65/5.43 inference(monotonicity,[status(thm)],[10924])).
% 7.65/5.43 tff(10926,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(transitivity,[status(thm)],[10925, 10923])).
% 7.65/5.43 tff(10927,plain,
% 7.65/5.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s170, c_busy)) | (~always3(s170)))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10928,plain,
% 7.65/5.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s170)) | (~m_main_v_state(s170, c_busy))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10927, 10926])).
% 7.65/5.43 tff(10929,plain,
% 7.65/5.43 (~m_main_v_state(s170, c_busy)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10928, 72, 10922])).
% 7.65/5.43 tff(10930,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10931,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s169, s170)) | node2(s169, s170))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10932,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s169, s170)) | node2(s169, s170)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10931, 10930])).
% 7.65/5.43 tff(10933,plain,
% 7.65/5.43 (node2(s169, s170)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10932, 7, 10917])).
% 7.65/5.43 tff(10934,plain,
% 7.65/5.43 (((~![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(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)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10935,plain,
% 7.65/5.43 ((~![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(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169)))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10936,plain,
% 7.65/5.43 ((~![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(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10935, 10934])).
% 7.65/5.43 tff(10937,plain,
% 7.65/5.43 ((~m_main_v_state(s169, c_ready)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169))),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10936, 60, 10933])).
% 7.65/5.43 tff(10938,plain,
% 7.65/5.43 (~m_main_v_state(s169, c_ready)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10937, 10929, 10906])).
% 7.65/5.43 tff(10939,plain,
% 7.65/5.43 (~m_main_v_state(s169, c_busy)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10872, 72, 10910])).
% 7.65/5.43 tff(10940,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10941,plain,
% 7.65/5.43 ((~![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))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10942,plain,
% 7.65/5.43 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s169, c_busy) | m_main_v_state(s169, c_ready)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10941, 10940])).
% 7.65/5.43 tff(10943,plain,
% 7.65/5.43 ($false),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10942, 89, 10939, 10938])).
% 7.65/5.43 tff(10944,plain,(~node4(s169)), inference(lemma,lemma(discharge,[]))).
% 7.65/5.43 tff(10945,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10946,plain,
% 7.65/5.43 ((node4(s169) | (~until5(s169)) | xuntil6(s169)) <=> (xuntil6(s169) | node4(s169) | (~until5(s169)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10947,plain,
% 7.65/5.43 (((~![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))))),
% 7.65/5.43 inference(monotonicity,[status(thm)],[10946])).
% 7.65/5.43 tff(10948,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(transitivity,[status(thm)],[10947, 10945])).
% 7.65/5.43 tff(10949,plain,
% 7.65/5.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s169) | (~until5(s169)) | xuntil6(s169))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10950,plain,
% 7.65/5.43 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s169) | node4(s169) | (~until5(s169))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10949, 10948])).
% 7.65/5.43 tff(10951,plain,
% 7.65/5.43 (xuntil6(s169) | (~until5(s169))),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10950, 352, 10944])).
% 7.65/5.43 tff(10952,plain,
% 7.65/5.43 (xuntil6(s169)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10951, 10901])).
% 7.65/5.43 tff(10953,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10954,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10955,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10954, 10953])).
% 7.65/5.43 tff(10956,plain,
% 7.65/5.43 ((~xuntil6(s169)) | until5(s170)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10955, 10913, 370])).
% 7.65/5.43 tff(10957,plain,
% 7.65/5.43 (until5(s170)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10956, 10952])).
% 7.65/5.43 tff(10958,assumption,(node4(s170)), introduced(assumption)).
% 7.65/5.43 tff(10959,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10960,plain,
% 7.65/5.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s170) | (~node4(s170)))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10961,plain,
% 7.65/5.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s170) | (~node4(s170))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10960, 10959])).
% 7.65/5.43 tff(10962,plain,
% 7.65/5.43 (m_main_v_request(s170)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10961, 28, 10958])).
% 7.65/5.43 tff(10963,plain,
% 7.65/5.43 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s170) | (~node4(s170)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s170) | (~node4(s170)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10964,plain,
% 7.65/5.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s170) | (~node4(s170)))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10965,plain,
% 7.65/5.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s170) | (~node4(s170))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10964, 10963])).
% 7.65/5.43 tff(10966,plain,
% 7.65/5.43 (always3(s170)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10965, 16, 10958])).
% 7.65/5.43 tff(10967,plain,
% 7.65/5.43 (succ(s170, s171) <=> succ(s170, s171)),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10968,axiom,(succ(s170, s171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound171')).
% 7.65/5.43 tff(10969,plain,
% 7.65/5.43 (succ(s170, s171)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10968, 10967])).
% 7.65/5.43 tff(10970,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10971,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10972,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10971, 10970])).
% 7.65/5.43 tff(10973,plain,
% 7.65/5.43 (trans(s170, s171)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10972, 10969, 39])).
% 7.65/5.43 tff(10974,plain,
% 7.65/5.43 (((~![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))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10975,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s170, s171)) | (~always3(s170)) | always3(s171))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10976,plain,
% 7.65/5.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s170, s171)) | (~always3(s170)) | always3(s171)),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10975, 10974])).
% 7.65/5.43 tff(10977,plain,
% 7.65/5.43 ((~always3(s170)) | always3(s171)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10976, 112, 10973])).
% 7.65/5.43 tff(10978,plain,
% 7.65/5.43 (always3(s171)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10977, 10966])).
% 7.65/5.43 tff(10979,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10980,plain,
% 7.65/5.43 (((~m_main_v_state(s171, c_busy)) | (~always3(s171))) <=> ((~always3(s171)) | (~m_main_v_state(s171, c_busy)))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10981,plain,
% 7.65/5.43 (((~![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))))),
% 7.65/5.43 inference(monotonicity,[status(thm)],[10980])).
% 7.65/5.43 tff(10982,plain,
% 7.65/5.43 (((~![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)))),
% 7.65/5.43 inference(transitivity,[status(thm)],[10981, 10979])).
% 7.65/5.43 tff(10983,plain,
% 7.65/5.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s171, c_busy)) | (~always3(s171)))),
% 7.65/5.43 inference(quant_inst,[status(thm)],[])).
% 7.65/5.43 tff(10984,plain,
% 7.65/5.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s171)) | (~m_main_v_state(s171, c_busy))),
% 7.65/5.43 inference(modus_ponens,[status(thm)],[10983, 10982])).
% 7.65/5.43 tff(10985,plain,
% 7.65/5.43 (~m_main_v_state(s171, c_busy)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10984, 72, 10978])).
% 7.65/5.43 tff(10986,assumption,(~node1(s169)), introduced(assumption)).
% 7.65/5.43 tff(10987,plain,
% 7.65/5.43 (~m_main_v_state(s170, c_busy)),
% 7.65/5.43 inference(unit_resolution,[status(thm)],[10928, 72, 10966])).
% 7.65/5.43 tff(10988,plain,
% 7.65/5.43 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, 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(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready))),
% 7.65/5.43 inference(rewrite,[status(thm)],[])).
% 7.65/5.43 tff(10989,plain,
% 7.65/5.44 ((node1(s169) | m_main_v_state(s170, c_ready) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy)) <=> ((~node2(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(10990,plain,
% 7.65/5.44 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s169) | m_main_v_state(s170, c_ready) | (~node2(s169, s170)) | m_main_v_state(s170, 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(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready)))),
% 7.65/5.44 inference(monotonicity,[status(thm)],[10989])).
% 7.65/5.44 tff(10991,plain,
% 7.65/5.44 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s169) | m_main_v_state(s170, c_ready) | (~node2(s169, s170)) | m_main_v_state(s170, 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(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready))),
% 7.65/5.44 inference(transitivity,[status(thm)],[10990, 10988])).
% 7.65/5.44 tff(10992,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s169) | m_main_v_state(s170, c_ready) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(10993,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[10992, 10991])).
% 7.65/5.44 tff(10994,plain,
% 7.65/5.44 (m_main_v_state(s170, c_busy) | node1(s169) | m_main_v_state(s170, c_ready)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[10993, 566, 10933])).
% 7.65/5.44 tff(10995,plain,
% 7.65/5.44 (m_main_v_state(s170, c_ready)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[10994, 10987, 10986])).
% 7.65/5.44 tff(10996,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(10997,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s170, s171)) | node2(s170, s171))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(10998,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s170, s171)) | node2(s170, s171)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[10997, 10996])).
% 7.65/5.44 tff(10999,plain,
% 7.65/5.44 (node2(s170, s171)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[10998, 7, 10973])).
% 7.65/5.44 tff(11000,plain,
% 7.65/5.44 (((~![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(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)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11001,plain,
% 7.65/5.44 ((~![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(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11002,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11001, 11000])).
% 7.65/5.44 tff(11003,plain,
% 7.65/5.44 ((~m_main_v_state(s170, c_ready)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170))),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11002, 60, 10999])).
% 7.65/5.44 tff(11004,plain,
% 7.65/5.44 ($false),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11003, 10995, 10985, 10962])).
% 7.65/5.44 tff(11005,plain,((~node4(s170)) | node1(s169)), inference(lemma,lemma(discharge,[]))).
% 7.65/5.44 tff(11006,plain,
% 7.65/5.44 (node1(s169)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11005, 10958])).
% 7.65/5.44 tff(11007,plain,
% 7.65/5.44 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s169, c_ready) | (~node1(s169)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s169, c_ready) | (~node1(s169)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11008,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s169, c_ready) | (~node1(s169)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11009,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s169, c_ready) | (~node1(s169))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11008, 11007])).
% 7.65/5.44 tff(11010,plain,
% 7.65/5.44 (m_main_v_state(s169, c_ready)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11009, 7766, 11006])).
% 7.65/5.44 tff(11011,plain,
% 7.65/5.44 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s169) | (~node1(s169)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s169) | (~node1(s169)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11012,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s169) | (~node1(s169)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11013,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s169) | (~node1(s169))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11012, 11011])).
% 7.65/5.44 tff(11014,plain,
% 7.65/5.44 (m_main_v_request(s169)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11013, 589, 11006])).
% 7.65/5.44 tff(11015,plain,
% 7.65/5.44 (m_main_v_state(s170, c_busy)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[10937, 11014, 11010])).
% 7.65/5.44 tff(11016,plain,
% 7.65/5.44 ($false),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[10928, 72, 10966, 11015])).
% 7.65/5.44 tff(11017,plain,(~node4(s170)), inference(lemma,lemma(discharge,[]))).
% 7.65/5.44 tff(11018,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11019,plain,
% 7.65/5.44 ((node4(s170) | (~until5(s170)) | xuntil6(s170)) <=> (xuntil6(s170) | node4(s170) | (~until5(s170)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11020,plain,
% 7.65/5.44 (((~![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))))),
% 7.65/5.44 inference(monotonicity,[status(thm)],[11019])).
% 7.65/5.44 tff(11021,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(transitivity,[status(thm)],[11020, 11018])).
% 7.65/5.44 tff(11022,plain,
% 7.65/5.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s170) | (~until5(s170)) | xuntil6(s170))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11023,plain,
% 7.65/5.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s170) | node4(s170) | (~until5(s170))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11022, 11021])).
% 7.65/5.44 tff(11024,plain,
% 7.65/5.44 (xuntil6(s170) | (~until5(s170))),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11023, 352, 11017])).
% 7.65/5.44 tff(11025,plain,
% 7.65/5.44 (xuntil6(s170)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11024, 10957])).
% 7.65/5.44 tff(11026,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11027,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11028,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11027, 11026])).
% 7.65/5.44 tff(11029,plain,
% 7.65/5.44 ((~xuntil6(s170)) | until5(s171)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11028, 10969, 370])).
% 7.65/5.44 tff(11030,plain,
% 7.65/5.44 (until5(s171)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11029, 11025])).
% 7.65/5.44 tff(11031,assumption,(node4(s171)), introduced(assumption)).
% 7.65/5.44 tff(11032,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11033,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s171) | (~node4(s171)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11034,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s171) | (~node4(s171))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11033, 11032])).
% 7.65/5.44 tff(11035,plain,
% 7.65/5.44 (m_main_v_request(s171)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11034, 28, 11031])).
% 7.65/5.44 tff(11036,plain,
% 7.65/5.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s171) | (~node4(s171)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s171) | (~node4(s171)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11037,plain,
% 7.65/5.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s171) | (~node4(s171)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11038,plain,
% 7.65/5.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s171) | (~node4(s171))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11037, 11036])).
% 7.65/5.44 tff(11039,plain,
% 7.65/5.44 (always3(s171)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11038, 16, 11031])).
% 7.65/5.44 tff(11040,plain,
% 7.65/5.44 (succ(s171, s172) <=> succ(s171, s172)),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11041,axiom,(succ(s171, s172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound172')).
% 7.65/5.44 tff(11042,plain,
% 7.65/5.44 (succ(s171, s172)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11041, 11040])).
% 7.65/5.44 tff(11043,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11044,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11045,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11044, 11043])).
% 7.65/5.44 tff(11046,plain,
% 7.65/5.44 (trans(s171, s172)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11045, 11042, 39])).
% 7.65/5.44 tff(11047,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11048,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s171, s172)) | (~always3(s171)) | always3(s172))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11049,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s171, s172)) | (~always3(s171)) | always3(s172)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11048, 11047])).
% 7.65/5.44 tff(11050,plain,
% 7.65/5.44 ((~always3(s171)) | always3(s172)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11049, 112, 11046])).
% 7.65/5.44 tff(11051,plain,
% 7.65/5.44 (always3(s172)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11050, 11039])).
% 7.65/5.44 tff(11052,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11053,plain,
% 7.65/5.44 (((~m_main_v_state(s172, c_busy)) | (~always3(s172))) <=> ((~always3(s172)) | (~m_main_v_state(s172, c_busy)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11054,plain,
% 7.65/5.44 (((~![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))))),
% 7.65/5.44 inference(monotonicity,[status(thm)],[11053])).
% 7.65/5.44 tff(11055,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(transitivity,[status(thm)],[11054, 11052])).
% 7.65/5.44 tff(11056,plain,
% 7.65/5.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s172, c_busy)) | (~always3(s172)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11057,plain,
% 7.65/5.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s172)) | (~m_main_v_state(s172, c_busy))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11056, 11055])).
% 7.65/5.44 tff(11058,plain,
% 7.65/5.44 (~m_main_v_state(s172, c_busy)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11057, 72, 11051])).
% 7.65/5.44 tff(11059,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11060,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s171, s172)) | node2(s171, s172))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11061,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s171, s172)) | node2(s171, s172)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11060, 11059])).
% 7.65/5.44 tff(11062,plain,
% 7.65/5.44 (node2(s171, s172)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11061, 7, 11046])).
% 7.65/5.44 tff(11063,plain,
% 7.65/5.44 (((~![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(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)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11064,plain,
% 7.65/5.44 ((~![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(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11065,plain,
% 7.65/5.44 ((~![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(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11064, 11063])).
% 7.65/5.44 tff(11066,plain,
% 7.65/5.44 ((~m_main_v_state(s171, c_ready)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171))),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11065, 60, 11062])).
% 7.65/5.44 tff(11067,plain,
% 7.65/5.44 (~m_main_v_state(s171, c_ready)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11066, 11058, 11035])).
% 7.65/5.44 tff(11068,plain,
% 7.65/5.44 (~m_main_v_state(s171, c_busy)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[10984, 72, 11039])).
% 7.65/5.44 tff(11069,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11070,plain,
% 7.65/5.44 ((~![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))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11071,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s171, c_busy) | m_main_v_state(s171, c_ready)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11070, 11069])).
% 7.65/5.44 tff(11072,plain,
% 7.65/5.44 ($false),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11071, 89, 11068, 11067])).
% 7.65/5.44 tff(11073,plain,(~node4(s171)), inference(lemma,lemma(discharge,[]))).
% 7.65/5.44 tff(11074,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11075,plain,
% 7.65/5.44 ((node4(s171) | (~until5(s171)) | xuntil6(s171)) <=> (xuntil6(s171) | node4(s171) | (~until5(s171)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11076,plain,
% 7.65/5.44 (((~![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))))),
% 7.65/5.44 inference(monotonicity,[status(thm)],[11075])).
% 7.65/5.44 tff(11077,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(transitivity,[status(thm)],[11076, 11074])).
% 7.65/5.44 tff(11078,plain,
% 7.65/5.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s171) | (~until5(s171)) | xuntil6(s171))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11079,plain,
% 7.65/5.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s171) | node4(s171) | (~until5(s171))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11078, 11077])).
% 7.65/5.44 tff(11080,plain,
% 7.65/5.44 (xuntil6(s171) | (~until5(s171))),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11079, 352, 11073])).
% 7.65/5.44 tff(11081,plain,
% 7.65/5.44 (xuntil6(s171)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11080, 11030])).
% 7.65/5.44 tff(11082,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11083,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11084,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11083, 11082])).
% 7.65/5.44 tff(11085,plain,
% 7.65/5.44 ((~xuntil6(s171)) | until5(s172)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11084, 11042, 370])).
% 7.65/5.44 tff(11086,plain,
% 7.65/5.44 (until5(s172)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11085, 11081])).
% 7.65/5.44 tff(11087,assumption,(node4(s172)), introduced(assumption)).
% 7.65/5.44 tff(11088,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11089,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s172) | (~node4(s172)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11090,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s172) | (~node4(s172))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11089, 11088])).
% 7.65/5.44 tff(11091,plain,
% 7.65/5.44 (m_main_v_request(s172)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11090, 28, 11087])).
% 7.65/5.44 tff(11092,plain,
% 7.65/5.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s172) | (~node4(s172)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s172) | (~node4(s172)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11093,plain,
% 7.65/5.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s172) | (~node4(s172)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11094,plain,
% 7.65/5.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s172) | (~node4(s172))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 7.65/5.44 tff(11095,plain,
% 7.65/5.44 (always3(s172)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11094, 16, 11087])).
% 7.65/5.44 tff(11096,plain,
% 7.65/5.44 (succ(s172, s173) <=> succ(s172, s173)),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11097,axiom,(succ(s172, s173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound173')).
% 7.65/5.44 tff(11098,plain,
% 7.65/5.44 (succ(s172, s173)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11097, 11096])).
% 7.65/5.44 tff(11099,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11100,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11101,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11100, 11099])).
% 7.65/5.44 tff(11102,plain,
% 7.65/5.44 (trans(s172, s173)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11101, 11098, 39])).
% 7.65/5.44 tff(11103,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11104,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s172, s173)) | (~always3(s172)) | always3(s173))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11105,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s172, s173)) | (~always3(s172)) | always3(s173)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11104, 11103])).
% 7.65/5.44 tff(11106,plain,
% 7.65/5.44 ((~always3(s172)) | always3(s173)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11105, 112, 11102])).
% 7.65/5.44 tff(11107,plain,
% 7.65/5.44 (always3(s173)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11106, 11095])).
% 7.65/5.44 tff(11108,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11109,plain,
% 7.65/5.44 (((~m_main_v_state(s173, c_busy)) | (~always3(s173))) <=> ((~always3(s173)) | (~m_main_v_state(s173, c_busy)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11110,plain,
% 7.65/5.44 (((~![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))))),
% 7.65/5.44 inference(monotonicity,[status(thm)],[11109])).
% 7.65/5.44 tff(11111,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(transitivity,[status(thm)],[11110, 11108])).
% 7.65/5.44 tff(11112,plain,
% 7.65/5.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s173, c_busy)) | (~always3(s173)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11113,plain,
% 7.65/5.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s173)) | (~m_main_v_state(s173, c_busy))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11112, 11111])).
% 7.65/5.44 tff(11114,plain,
% 7.65/5.44 (~m_main_v_state(s173, c_busy)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11113, 72, 11107])).
% 7.65/5.44 tff(11115,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11116,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s172, s173)) | node2(s172, s173))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11117,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s172, s173)) | node2(s172, s173)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11116, 11115])).
% 7.65/5.44 tff(11118,plain,
% 7.65/5.44 (node2(s172, s173)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11117, 7, 11102])).
% 7.65/5.44 tff(11119,plain,
% 7.65/5.44 (((~![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(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)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11120,plain,
% 7.65/5.44 ((~![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(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11121,plain,
% 7.65/5.44 ((~![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(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11120, 11119])).
% 7.65/5.44 tff(11122,plain,
% 7.65/5.44 ((~m_main_v_state(s172, c_ready)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172))),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11121, 60, 11118])).
% 7.65/5.44 tff(11123,plain,
% 7.65/5.44 (~m_main_v_state(s172, c_ready)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11122, 11114, 11091])).
% 7.65/5.44 tff(11124,plain,
% 7.65/5.44 (~m_main_v_state(s172, c_busy)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11057, 72, 11095])).
% 7.65/5.44 tff(11125,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11126,plain,
% 7.65/5.44 ((~![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))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11127,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s172, c_busy) | m_main_v_state(s172, c_ready)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11126, 11125])).
% 7.65/5.44 tff(11128,plain,
% 7.65/5.44 ($false),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11127, 89, 11124, 11123])).
% 7.65/5.44 tff(11129,plain,(~node4(s172)), inference(lemma,lemma(discharge,[]))).
% 7.65/5.44 tff(11130,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11131,plain,
% 7.65/5.44 ((node4(s172) | (~until5(s172)) | xuntil6(s172)) <=> (xuntil6(s172) | node4(s172) | (~until5(s172)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11132,plain,
% 7.65/5.44 (((~![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))))),
% 7.65/5.44 inference(monotonicity,[status(thm)],[11131])).
% 7.65/5.44 tff(11133,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(transitivity,[status(thm)],[11132, 11130])).
% 7.65/5.44 tff(11134,plain,
% 7.65/5.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s172) | (~until5(s172)) | xuntil6(s172))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11135,plain,
% 7.65/5.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s172) | node4(s172) | (~until5(s172))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11134, 11133])).
% 7.65/5.44 tff(11136,plain,
% 7.65/5.44 (xuntil6(s172) | (~until5(s172))),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11135, 352, 11129])).
% 7.65/5.44 tff(11137,plain,
% 7.65/5.44 (xuntil6(s172)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11136, 11086])).
% 7.65/5.44 tff(11138,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11139,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11140,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11139, 11138])).
% 7.65/5.44 tff(11141,plain,
% 7.65/5.44 ((~xuntil6(s172)) | until5(s173)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11140, 11098, 370])).
% 7.65/5.44 tff(11142,plain,
% 7.65/5.44 (until5(s173)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11141, 11137])).
% 7.65/5.44 tff(11143,assumption,(node4(s173)), introduced(assumption)).
% 7.65/5.44 tff(11144,plain,
% 7.65/5.44 (((~![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)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11145,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s173) | (~node4(s173)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11146,plain,
% 7.65/5.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s173) | (~node4(s173))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11145, 11144])).
% 7.65/5.44 tff(11147,plain,
% 7.65/5.44 (m_main_v_request(s173)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11146, 28, 11143])).
% 7.65/5.44 tff(11148,plain,
% 7.65/5.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s173) | (~node4(s173)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s173) | (~node4(s173)))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11149,plain,
% 7.65/5.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s173) | (~node4(s173)))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11150,plain,
% 7.65/5.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s173) | (~node4(s173))),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11149, 11148])).
% 7.65/5.44 tff(11151,plain,
% 7.65/5.44 (always3(s173)),
% 7.65/5.44 inference(unit_resolution,[status(thm)],[11150, 16, 11143])).
% 7.65/5.44 tff(11152,plain,
% 7.65/5.44 (succ(s173, s174) <=> succ(s173, s174)),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11153,axiom,(succ(s173, s174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound174')).
% 7.65/5.44 tff(11154,plain,
% 7.65/5.44 (succ(s173, s174)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11153, 11152])).
% 7.65/5.44 tff(11155,plain,
% 7.65/5.44 (((~![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))),
% 7.65/5.44 inference(rewrite,[status(thm)],[])).
% 7.65/5.44 tff(11156,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))),
% 7.65/5.44 inference(quant_inst,[status(thm)],[])).
% 7.65/5.44 tff(11157,plain,
% 7.65/5.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174)),
% 7.65/5.44 inference(modus_ponens,[status(thm)],[11156, 11155])).
% 7.65/5.44 tff(11158,plain,
% 7.67/5.45 (trans(s173, s174)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11157, 11154, 39])).
% 7.67/5.45 tff(11159,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11160,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s173, s174)) | (~always3(s173)) | always3(s174))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11161,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s173, s174)) | (~always3(s173)) | always3(s174)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11160, 11159])).
% 7.67/5.45 tff(11162,plain,
% 7.67/5.45 ((~always3(s173)) | always3(s174)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11161, 112, 11158])).
% 7.67/5.45 tff(11163,plain,
% 7.67/5.45 (always3(s174)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11162, 11151])).
% 7.67/5.45 tff(11164,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11165,plain,
% 7.67/5.45 (((~m_main_v_state(s174, c_busy)) | (~always3(s174))) <=> ((~always3(s174)) | (~m_main_v_state(s174, c_busy)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11166,plain,
% 7.67/5.45 (((~![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))))),
% 7.67/5.45 inference(monotonicity,[status(thm)],[11165])).
% 7.67/5.45 tff(11167,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(transitivity,[status(thm)],[11166, 11164])).
% 7.67/5.45 tff(11168,plain,
% 7.67/5.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s174, c_busy)) | (~always3(s174)))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11169,plain,
% 7.67/5.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s174)) | (~m_main_v_state(s174, c_busy))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11168, 11167])).
% 7.67/5.45 tff(11170,plain,
% 7.67/5.45 (~m_main_v_state(s174, c_busy)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11169, 72, 11163])).
% 7.67/5.45 tff(11171,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11172,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s173, s174)) | node2(s173, s174))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11173,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s173, s174)) | node2(s173, s174)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11172, 11171])).
% 7.67/5.45 tff(11174,plain,
% 7.67/5.45 (node2(s173, s174)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11173, 7, 11158])).
% 7.67/5.45 tff(11175,plain,
% 7.67/5.45 (((~![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(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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11176,plain,
% 7.67/5.45 ((~![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(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173)))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11177,plain,
% 7.67/5.45 ((~![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(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11176, 11175])).
% 7.67/5.45 tff(11178,plain,
% 7.67/5.45 ((~m_main_v_state(s173, c_ready)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173))),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11177, 60, 11174])).
% 7.67/5.45 tff(11179,plain,
% 7.67/5.45 (~m_main_v_state(s173, c_ready)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11178, 11170, 11147])).
% 7.67/5.45 tff(11180,plain,
% 7.67/5.45 (~m_main_v_state(s173, c_busy)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11113, 72, 11151])).
% 7.67/5.45 tff(11181,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11182,plain,
% 7.67/5.45 ((~![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))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11183,plain,
% 7.67/5.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s173, c_busy) | m_main_v_state(s173, c_ready)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11182, 11181])).
% 7.67/5.45 tff(11184,plain,
% 7.67/5.45 ($false),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11183, 89, 11180, 11179])).
% 7.67/5.45 tff(11185,plain,(~node4(s173)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.45 tff(11186,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11187,plain,
% 7.67/5.45 ((node4(s173) | (~until5(s173)) | xuntil6(s173)) <=> (xuntil6(s173) | node4(s173) | (~until5(s173)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11188,plain,
% 7.67/5.45 (((~![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))))),
% 7.67/5.45 inference(monotonicity,[status(thm)],[11187])).
% 7.67/5.45 tff(11189,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(transitivity,[status(thm)],[11188, 11186])).
% 7.67/5.45 tff(11190,plain,
% 7.67/5.45 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s173) | (~until5(s173)) | xuntil6(s173))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11191,plain,
% 7.67/5.45 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s173) | node4(s173) | (~until5(s173))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 7.67/5.45 tff(11192,plain,
% 7.67/5.45 (xuntil6(s173) | (~until5(s173))),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11191, 352, 11185])).
% 7.67/5.45 tff(11193,plain,
% 7.67/5.45 (xuntil6(s173)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11192, 11142])).
% 7.67/5.45 tff(11194,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11195,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11196,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11195, 11194])).
% 7.67/5.45 tff(11197,plain,
% 7.67/5.45 ((~xuntil6(s173)) | until5(s174)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11196, 11154, 370])).
% 7.67/5.45 tff(11198,plain,
% 7.67/5.45 (until5(s174)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11197, 11193])).
% 7.67/5.45 tff(11199,assumption,(node4(s174)), introduced(assumption)).
% 7.67/5.45 tff(11200,plain,
% 7.67/5.45 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s174) | (~node4(s174)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s174) | (~node4(s174)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11201,plain,
% 7.67/5.45 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s174) | (~node4(s174)))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11202,plain,
% 7.67/5.45 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s174) | (~node4(s174))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11201, 11200])).
% 7.67/5.45 tff(11203,plain,
% 7.67/5.45 (always3(s174)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11202, 16, 11199])).
% 7.67/5.45 tff(11204,assumption,(~m_main_v_state(s175, c_busy)), introduced(assumption)).
% 7.67/5.45 tff(11205,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11206,plain,
% 7.67/5.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s174) | (~node4(s174)))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11207,plain,
% 7.67/5.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s174) | (~node4(s174))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11206, 11205])).
% 7.67/5.45 tff(11208,plain,
% 7.67/5.45 (m_main_v_request(s174)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11207, 28, 11199])).
% 7.67/5.45 tff(11209,plain,
% 7.67/5.45 (succ(s174, s175) <=> succ(s174, s175)),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11210,axiom,(succ(s174, s175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound175')).
% 7.67/5.45 tff(11211,plain,
% 7.67/5.45 (succ(s174, s175)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 7.67/5.45 tff(11212,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11213,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11214,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11213, 11212])).
% 7.67/5.45 tff(11215,plain,
% 7.67/5.45 (trans(s174, s175)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11214, 11211, 39])).
% 7.67/5.45 tff(11216,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11217,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s174, s175)) | node2(s174, s175))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11218,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s174, s175)) | node2(s174, s175)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11217, 11216])).
% 7.67/5.45 tff(11219,plain,
% 7.67/5.45 (node2(s174, s175)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11218, 7, 11215])).
% 7.67/5.45 tff(11220,plain,
% 7.67/5.45 (((~![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(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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11221,plain,
% 7.67/5.45 ((~![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(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174)))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11222,plain,
% 7.67/5.45 ((~![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(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11221, 11220])).
% 7.67/5.45 tff(11223,plain,
% 7.67/5.45 ((~m_main_v_state(s174, c_ready)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174))),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11222, 60, 11219])).
% 7.67/5.45 tff(11224,plain,
% 7.67/5.45 (~m_main_v_state(s174, c_ready)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11223, 11208, 11204])).
% 7.67/5.45 tff(11225,plain,
% 7.67/5.45 (~m_main_v_state(s174, c_busy)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11169, 72, 11203])).
% 7.67/5.45 tff(11226,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11227,plain,
% 7.67/5.45 ((~![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))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11228,plain,
% 7.67/5.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s174, c_busy) | m_main_v_state(s174, c_ready)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11227, 11226])).
% 7.67/5.45 tff(11229,plain,
% 7.67/5.45 ($false),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11228, 89, 11225, 11224])).
% 7.67/5.45 tff(11230,plain,((~node4(s174)) | m_main_v_state(s175, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.45 tff(11231,plain,
% 7.67/5.45 (m_main_v_state(s175, c_busy)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11230, 11199])).
% 7.67/5.45 tff(11232,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11233,plain,
% 7.67/5.45 (((~m_main_v_state(s175, c_busy)) | (~always3(s175))) <=> ((~always3(s175)) | (~m_main_v_state(s175, c_busy)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11234,plain,
% 7.67/5.45 (((~![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))))),
% 7.67/5.45 inference(monotonicity,[status(thm)],[11233])).
% 7.67/5.45 tff(11235,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(transitivity,[status(thm)],[11234, 11232])).
% 7.67/5.45 tff(11236,plain,
% 7.67/5.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s175, c_busy)) | (~always3(s175)))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11237,plain,
% 7.67/5.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s175)) | (~m_main_v_state(s175, c_busy))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11236, 11235])).
% 7.67/5.45 tff(11238,plain,
% 7.67/5.45 (~always3(s175)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11237, 72, 11231])).
% 7.67/5.45 tff(11239,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11240,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s174, s175)) | (~always3(s174)) | always3(s175))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11241,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s174, s175)) | (~always3(s174)) | always3(s175)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11240, 11239])).
% 7.67/5.45 tff(11242,plain,
% 7.67/5.45 ((~always3(s174)) | always3(s175)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11241, 112, 11215])).
% 7.67/5.45 tff(11243,plain,
% 7.67/5.45 ($false),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11242, 11238, 11203])).
% 7.67/5.45 tff(11244,plain,(~node4(s174)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.45 tff(11245,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11246,plain,
% 7.67/5.45 ((node4(s174) | (~until5(s174)) | xuntil6(s174)) <=> (xuntil6(s174) | node4(s174) | (~until5(s174)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11247,plain,
% 7.67/5.45 (((~![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))))),
% 7.67/5.45 inference(monotonicity,[status(thm)],[11246])).
% 7.67/5.45 tff(11248,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(transitivity,[status(thm)],[11247, 11245])).
% 7.67/5.45 tff(11249,plain,
% 7.67/5.45 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s174) | (~until5(s174)) | xuntil6(s174))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11250,plain,
% 7.67/5.45 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s174) | node4(s174) | (~until5(s174))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11249, 11248])).
% 7.67/5.45 tff(11251,plain,
% 7.67/5.45 (xuntil6(s174) | (~until5(s174))),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11250, 352, 11244])).
% 7.67/5.45 tff(11252,plain,
% 7.67/5.45 (xuntil6(s174)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11251, 11198])).
% 7.67/5.45 tff(11253,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11254,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11255,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11254, 11253])).
% 7.67/5.45 tff(11256,plain,
% 7.67/5.45 ((~xuntil6(s174)) | until5(s175)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11255, 11211, 370])).
% 7.67/5.45 tff(11257,plain,
% 7.67/5.45 (until5(s175)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11256, 11252])).
% 7.67/5.45 tff(11258,assumption,(node4(s175)), introduced(assumption)).
% 7.67/5.45 tff(11259,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11260,plain,
% 7.67/5.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s175) | (~node4(s175)))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11261,plain,
% 7.67/5.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s175) | (~node4(s175))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11260, 11259])).
% 7.67/5.45 tff(11262,plain,
% 7.67/5.45 (m_main_v_request(s175)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11261, 28, 11258])).
% 7.67/5.45 tff(11263,plain,
% 7.67/5.45 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s175) | (~node4(s175)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s175) | (~node4(s175)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11264,plain,
% 7.67/5.45 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s175) | (~node4(s175)))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11265,plain,
% 7.67/5.45 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s175) | (~node4(s175))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11264, 11263])).
% 7.67/5.45 tff(11266,plain,
% 7.67/5.45 (always3(s175)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11265, 16, 11258])).
% 7.67/5.45 tff(11267,plain,
% 7.67/5.45 (succ(s175, s176) <=> succ(s175, s176)),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11268,axiom,(succ(s175, s176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound176')).
% 7.67/5.45 tff(11269,plain,
% 7.67/5.45 (succ(s175, s176)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11268, 11267])).
% 7.67/5.45 tff(11270,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11271,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11272,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11271, 11270])).
% 7.67/5.45 tff(11273,plain,
% 7.67/5.45 (trans(s175, s176)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11272, 11269, 39])).
% 7.67/5.45 tff(11274,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11275,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s175, s176)) | (~always3(s175)) | always3(s176))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11276,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s175, s176)) | (~always3(s175)) | always3(s176)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11275, 11274])).
% 7.67/5.45 tff(11277,plain,
% 7.67/5.45 ((~always3(s175)) | always3(s176)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11276, 112, 11273])).
% 7.67/5.45 tff(11278,plain,
% 7.67/5.45 (always3(s176)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11277, 11266])).
% 7.67/5.45 tff(11279,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11280,plain,
% 7.67/5.45 (((~m_main_v_state(s176, c_busy)) | (~always3(s176))) <=> ((~always3(s176)) | (~m_main_v_state(s176, c_busy)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11281,plain,
% 7.67/5.45 (((~![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))))),
% 7.67/5.45 inference(monotonicity,[status(thm)],[11280])).
% 7.67/5.45 tff(11282,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(transitivity,[status(thm)],[11281, 11279])).
% 7.67/5.45 tff(11283,plain,
% 7.67/5.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s176, c_busy)) | (~always3(s176)))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11284,plain,
% 7.67/5.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s176)) | (~m_main_v_state(s176, c_busy))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11283, 11282])).
% 7.67/5.45 tff(11285,plain,
% 7.67/5.45 (~m_main_v_state(s176, c_busy)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11284, 72, 11278])).
% 7.67/5.45 tff(11286,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11287,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s175, s176)) | node2(s175, s176))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11288,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s175, s176)) | node2(s175, s176)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11287, 11286])).
% 7.67/5.45 tff(11289,plain,
% 7.67/5.45 (node2(s175, s176)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11288, 7, 11273])).
% 7.67/5.45 tff(11290,plain,
% 7.67/5.45 (((~![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(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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11291,plain,
% 7.67/5.45 ((~![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(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175)))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11292,plain,
% 7.67/5.45 ((~![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(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11291, 11290])).
% 7.67/5.45 tff(11293,plain,
% 7.67/5.45 ((~m_main_v_state(s175, c_ready)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175))),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11292, 60, 11289])).
% 7.67/5.45 tff(11294,plain,
% 7.67/5.45 (~m_main_v_state(s175, c_ready)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11293, 11285, 11262])).
% 7.67/5.45 tff(11295,plain,
% 7.67/5.45 (~m_main_v_state(s175, c_busy)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11237, 72, 11266])).
% 7.67/5.45 tff(11296,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11297,plain,
% 7.67/5.45 ((~![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))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11298,plain,
% 7.67/5.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s175, c_busy) | m_main_v_state(s175, c_ready)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11297, 11296])).
% 7.67/5.45 tff(11299,plain,
% 7.67/5.45 ($false),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11298, 89, 11295, 11294])).
% 7.67/5.45 tff(11300,plain,(~node4(s175)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.45 tff(11301,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11302,plain,
% 7.67/5.45 ((node4(s175) | (~until5(s175)) | xuntil6(s175)) <=> (xuntil6(s175) | node4(s175) | (~until5(s175)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11303,plain,
% 7.67/5.45 (((~![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))))),
% 7.67/5.45 inference(monotonicity,[status(thm)],[11302])).
% 7.67/5.45 tff(11304,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(transitivity,[status(thm)],[11303, 11301])).
% 7.67/5.45 tff(11305,plain,
% 7.67/5.45 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s175) | (~until5(s175)) | xuntil6(s175))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11306,plain,
% 7.67/5.45 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s175) | node4(s175) | (~until5(s175))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11305, 11304])).
% 7.67/5.45 tff(11307,plain,
% 7.67/5.45 (xuntil6(s175) | (~until5(s175))),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11306, 352, 11300])).
% 7.67/5.45 tff(11308,plain,
% 7.67/5.45 (xuntil6(s175)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11307, 11257])).
% 7.67/5.45 tff(11309,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11310,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11311,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11310, 11309])).
% 7.67/5.45 tff(11312,plain,
% 7.67/5.45 ((~xuntil6(s175)) | until5(s176)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11311, 11269, 370])).
% 7.67/5.45 tff(11313,plain,
% 7.67/5.45 (until5(s176)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11312, 11308])).
% 7.67/5.45 tff(11314,assumption,(node4(s176)), introduced(assumption)).
% 7.67/5.45 tff(11315,assumption,(~m_main_v_state(s177, c_busy)), introduced(assumption)).
% 7.67/5.45 tff(11316,plain,
% 7.67/5.45 (((~![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)))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11317,plain,
% 7.67/5.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s176) | (~node4(s176)))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11318,plain,
% 7.67/5.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s176) | (~node4(s176))),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11317, 11316])).
% 7.67/5.45 tff(11319,plain,
% 7.67/5.45 (m_main_v_request(s176)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11318, 28, 11314])).
% 7.67/5.45 tff(11320,plain,
% 7.67/5.45 (succ(s176, s177) <=> succ(s176, s177)),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11321,axiom,(succ(s176, s177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound177')).
% 7.67/5.45 tff(11322,plain,
% 7.67/5.45 (succ(s176, s177)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11321, 11320])).
% 7.67/5.45 tff(11323,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11324,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11325,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177)),
% 7.67/5.45 inference(modus_ponens,[status(thm)],[11324, 11323])).
% 7.67/5.45 tff(11326,plain,
% 7.67/5.45 (trans(s176, s177)),
% 7.67/5.45 inference(unit_resolution,[status(thm)],[11325, 11322, 39])).
% 7.67/5.45 tff(11327,plain,
% 7.67/5.45 (((~![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))),
% 7.67/5.45 inference(rewrite,[status(thm)],[])).
% 7.67/5.45 tff(11328,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s176, s177)) | node2(s176, s177))),
% 7.67/5.45 inference(quant_inst,[status(thm)],[])).
% 7.67/5.45 tff(11329,plain,
% 7.67/5.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s176, s177)) | node2(s176, s177)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11328, 11327])).
% 7.67/5.46 tff(11330,plain,
% 7.67/5.46 (node2(s176, s177)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11329, 7, 11326])).
% 7.67/5.46 tff(11331,plain,
% 7.67/5.46 (((~![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(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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11332,plain,
% 7.67/5.46 ((~![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(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11333,plain,
% 7.67/5.46 ((~![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(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11332, 11331])).
% 7.67/5.46 tff(11334,plain,
% 7.67/5.46 ((~m_main_v_state(s176, c_ready)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176))),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11333, 60, 11330])).
% 7.67/5.46 tff(11335,plain,
% 7.67/5.46 (~m_main_v_state(s176, c_ready)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11334, 11319, 11315])).
% 7.67/5.46 tff(11336,plain,
% 7.67/5.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s176) | (~node4(s176)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s176) | (~node4(s176)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11337,plain,
% 7.67/5.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s176) | (~node4(s176)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11338,plain,
% 7.67/5.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s176) | (~node4(s176))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11337, 11336])).
% 7.67/5.46 tff(11339,plain,
% 7.67/5.46 (always3(s176)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11338, 16, 11314])).
% 7.67/5.46 tff(11340,plain,
% 7.67/5.46 (~m_main_v_state(s176, c_busy)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11284, 72, 11339])).
% 7.67/5.46 tff(11341,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11342,plain,
% 7.67/5.46 ((~![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))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11343,plain,
% 7.67/5.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s176, c_busy) | m_main_v_state(s176, c_ready)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11342, 11341])).
% 7.67/5.46 tff(11344,plain,
% 7.67/5.46 ($false),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11343, 89, 11340, 11335])).
% 7.67/5.46 tff(11345,plain,((~node4(s176)) | m_main_v_state(s177, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.46 tff(11346,plain,
% 7.67/5.46 (m_main_v_state(s177, c_busy)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11345, 11314])).
% 7.67/5.46 tff(11347,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11348,plain,
% 7.67/5.46 (((~m_main_v_state(s177, c_busy)) | (~always3(s177))) <=> ((~always3(s177)) | (~m_main_v_state(s177, c_busy)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11349,plain,
% 7.67/5.46 (((~![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))))),
% 7.67/5.46 inference(monotonicity,[status(thm)],[11348])).
% 7.67/5.46 tff(11350,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(transitivity,[status(thm)],[11349, 11347])).
% 7.67/5.46 tff(11351,plain,
% 7.67/5.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s177, c_busy)) | (~always3(s177)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11352,plain,
% 7.67/5.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s177)) | (~m_main_v_state(s177, c_busy))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11351, 11350])).
% 7.67/5.46 tff(11353,plain,
% 7.67/5.46 (~always3(s177)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11352, 72, 11346])).
% 7.67/5.46 tff(11354,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11355,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s176, s177)) | (~always3(s176)) | always3(s177))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11356,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s176, s177)) | (~always3(s176)) | always3(s177)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11355, 11354])).
% 7.67/5.46 tff(11357,plain,
% 7.67/5.46 ((~always3(s176)) | always3(s177)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11356, 112, 11326])).
% 7.67/5.46 tff(11358,plain,
% 7.67/5.46 (~always3(s176)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11357, 11353])).
% 7.67/5.46 tff(11359,plain,
% 7.67/5.46 ($false),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11338, 16, 11358, 11314])).
% 7.67/5.46 tff(11360,plain,(~node4(s176)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.46 tff(11361,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11362,plain,
% 7.67/5.46 ((node4(s176) | (~until5(s176)) | xuntil6(s176)) <=> (xuntil6(s176) | node4(s176) | (~until5(s176)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11363,plain,
% 7.67/5.46 (((~![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))))),
% 7.67/5.46 inference(monotonicity,[status(thm)],[11362])).
% 7.67/5.46 tff(11364,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(transitivity,[status(thm)],[11363, 11361])).
% 7.67/5.46 tff(11365,plain,
% 7.67/5.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s176) | (~until5(s176)) | xuntil6(s176))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11366,plain,
% 7.67/5.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s176) | node4(s176) | (~until5(s176))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11365, 11364])).
% 7.67/5.46 tff(11367,plain,
% 7.67/5.46 (xuntil6(s176) | (~until5(s176))),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11366, 352, 11360])).
% 7.67/5.46 tff(11368,plain,
% 7.67/5.46 (xuntil6(s176)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11367, 11313])).
% 7.67/5.46 tff(11369,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11370,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11371,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11370, 11369])).
% 7.67/5.46 tff(11372,plain,
% 7.67/5.46 ((~xuntil6(s176)) | until5(s177)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11371, 11322, 370])).
% 7.67/5.46 tff(11373,plain,
% 7.67/5.46 (until5(s177)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11372, 11368])).
% 7.67/5.46 tff(11374,assumption,(node4(s177)), introduced(assumption)).
% 7.67/5.46 tff(11375,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11376,plain,
% 7.67/5.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s177) | (~node4(s177)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11377,plain,
% 7.67/5.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s177) | (~node4(s177))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11376, 11375])).
% 7.67/5.46 tff(11378,plain,
% 7.67/5.46 (m_main_v_request(s177)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11377, 28, 11374])).
% 7.67/5.46 tff(11379,plain,
% 7.67/5.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s177) | (~node4(s177)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s177) | (~node4(s177)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11380,plain,
% 7.67/5.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s177) | (~node4(s177)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11381,plain,
% 7.67/5.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s177) | (~node4(s177))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 7.67/5.46 tff(11382,plain,
% 7.67/5.46 (always3(s177)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11381, 16, 11374])).
% 7.67/5.46 tff(11383,plain,
% 7.67/5.46 (succ(s177, s178) <=> succ(s177, s178)),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11384,axiom,(succ(s177, s178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound178')).
% 7.67/5.46 tff(11385,plain,
% 7.67/5.46 (succ(s177, s178)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11384, 11383])).
% 7.67/5.46 tff(11386,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11387,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11388,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11387, 11386])).
% 7.67/5.46 tff(11389,plain,
% 7.67/5.46 (trans(s177, s178)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11388, 11385, 39])).
% 7.67/5.46 tff(11390,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11391,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s177, s178)) | (~always3(s177)) | always3(s178))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11392,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s177, s178)) | (~always3(s177)) | always3(s178)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11391, 11390])).
% 7.67/5.46 tff(11393,plain,
% 7.67/5.46 ((~always3(s177)) | always3(s178)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11392, 112, 11389])).
% 7.67/5.46 tff(11394,plain,
% 7.67/5.46 (always3(s178)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11393, 11382])).
% 7.67/5.46 tff(11395,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11396,plain,
% 7.67/5.46 (((~m_main_v_state(s178, c_busy)) | (~always3(s178))) <=> ((~always3(s178)) | (~m_main_v_state(s178, c_busy)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11397,plain,
% 7.67/5.46 (((~![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))))),
% 7.67/5.46 inference(monotonicity,[status(thm)],[11396])).
% 7.67/5.46 tff(11398,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(transitivity,[status(thm)],[11397, 11395])).
% 7.67/5.46 tff(11399,plain,
% 7.67/5.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s178, c_busy)) | (~always3(s178)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11400,plain,
% 7.67/5.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s178)) | (~m_main_v_state(s178, c_busy))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 7.67/5.46 tff(11401,plain,
% 7.67/5.46 (~m_main_v_state(s178, c_busy)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11400, 72, 11394])).
% 7.67/5.46 tff(11402,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11403,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s177, s178)) | node2(s177, s178))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11404,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s177, s178)) | node2(s177, s178)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11403, 11402])).
% 7.67/5.46 tff(11405,plain,
% 7.67/5.46 (node2(s177, s178)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11404, 7, 11389])).
% 7.67/5.46 tff(11406,plain,
% 7.67/5.46 (((~![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(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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11407,plain,
% 7.67/5.46 ((~![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(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11408,plain,
% 7.67/5.46 ((~![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(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 7.67/5.46 tff(11409,plain,
% 7.67/5.46 ((~m_main_v_state(s177, c_ready)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177))),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11408, 60, 11405])).
% 7.67/5.46 tff(11410,plain,
% 7.67/5.46 (~m_main_v_state(s177, c_ready)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11409, 11401, 11378])).
% 7.67/5.46 tff(11411,plain,
% 7.67/5.46 (~m_main_v_state(s177, c_busy)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11352, 72, 11382])).
% 7.67/5.46 tff(11412,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11413,plain,
% 7.67/5.46 ((~![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))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11414,plain,
% 7.67/5.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s177, c_busy) | m_main_v_state(s177, c_ready)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11413, 11412])).
% 7.67/5.46 tff(11415,plain,
% 7.67/5.46 ($false),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11414, 89, 11411, 11410])).
% 7.67/5.46 tff(11416,plain,(~node4(s177)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.46 tff(11417,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11418,plain,
% 7.67/5.46 ((node4(s177) | (~until5(s177)) | xuntil6(s177)) <=> (xuntil6(s177) | node4(s177) | (~until5(s177)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11419,plain,
% 7.67/5.46 (((~![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))))),
% 7.67/5.46 inference(monotonicity,[status(thm)],[11418])).
% 7.67/5.46 tff(11420,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(transitivity,[status(thm)],[11419, 11417])).
% 7.67/5.46 tff(11421,plain,
% 7.67/5.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s177) | (~until5(s177)) | xuntil6(s177))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11422,plain,
% 7.67/5.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s177) | node4(s177) | (~until5(s177))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11421, 11420])).
% 7.67/5.46 tff(11423,plain,
% 7.67/5.46 (xuntil6(s177) | (~until5(s177))),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11422, 352, 11416])).
% 7.67/5.46 tff(11424,plain,
% 7.67/5.46 (xuntil6(s177)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11423, 11373])).
% 7.67/5.46 tff(11425,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11426,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11427,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11426, 11425])).
% 7.67/5.46 tff(11428,plain,
% 7.67/5.46 ((~xuntil6(s177)) | until5(s178)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11427, 11385, 370])).
% 7.67/5.46 tff(11429,plain,
% 7.67/5.46 (until5(s178)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11428, 11424])).
% 7.67/5.46 tff(11430,assumption,(node4(s178)), introduced(assumption)).
% 7.67/5.46 tff(11431,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11432,plain,
% 7.67/5.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s178) | (~node4(s178)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11433,plain,
% 7.67/5.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s178) | (~node4(s178))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11432, 11431])).
% 7.67/5.46 tff(11434,plain,
% 7.67/5.46 (m_main_v_request(s178)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11433, 28, 11430])).
% 7.67/5.46 tff(11435,plain,
% 7.67/5.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s178) | (~node4(s178)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s178) | (~node4(s178)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11436,plain,
% 7.67/5.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s178) | (~node4(s178)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11437,plain,
% 7.67/5.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s178) | (~node4(s178))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11436, 11435])).
% 7.67/5.46 tff(11438,plain,
% 7.67/5.46 (always3(s178)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11437, 16, 11430])).
% 7.67/5.46 tff(11439,plain,
% 7.67/5.46 (succ(s178, s179) <=> succ(s178, s179)),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11440,axiom,(succ(s178, s179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound179')).
% 7.67/5.46 tff(11441,plain,
% 7.67/5.46 (succ(s178, s179)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11440, 11439])).
% 7.67/5.46 tff(11442,plain,
% 7.67/5.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11443,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11444,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11443, 11442])).
% 7.67/5.46 tff(11445,plain,
% 7.67/5.46 (trans(s178, s179)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11444, 11441, 39])).
% 7.67/5.46 tff(11446,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11447,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s178, s179)) | (~always3(s178)) | always3(s179))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11448,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s178, s179)) | (~always3(s178)) | always3(s179)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11447, 11446])).
% 7.67/5.46 tff(11449,plain,
% 7.67/5.46 ((~always3(s178)) | always3(s179)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11448, 112, 11445])).
% 7.67/5.46 tff(11450,plain,
% 7.67/5.46 (always3(s179)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11449, 11438])).
% 7.67/5.46 tff(11451,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11452,plain,
% 7.67/5.46 (((~m_main_v_state(s179, c_busy)) | (~always3(s179))) <=> ((~always3(s179)) | (~m_main_v_state(s179, c_busy)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11453,plain,
% 7.67/5.46 (((~![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))))),
% 7.67/5.46 inference(monotonicity,[status(thm)],[11452])).
% 7.67/5.46 tff(11454,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(transitivity,[status(thm)],[11453, 11451])).
% 7.67/5.46 tff(11455,plain,
% 7.67/5.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s179, c_busy)) | (~always3(s179)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11456,plain,
% 7.67/5.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s179)) | (~m_main_v_state(s179, c_busy))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11455, 11454])).
% 7.67/5.46 tff(11457,plain,
% 7.67/5.46 (~m_main_v_state(s179, c_busy)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11456, 72, 11450])).
% 7.67/5.46 tff(11458,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11459,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s178, s179)) | node2(s178, s179))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11460,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s178, s179)) | node2(s178, s179)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11459, 11458])).
% 7.67/5.46 tff(11461,plain,
% 7.67/5.46 (node2(s178, s179)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11460, 7, 11445])).
% 7.67/5.46 tff(11462,plain,
% 7.67/5.46 (((~![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(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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11463,plain,
% 7.67/5.46 ((~![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(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11464,plain,
% 7.67/5.46 ((~![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(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11463, 11462])).
% 7.67/5.46 tff(11465,plain,
% 7.67/5.46 ((~m_main_v_state(s178, c_ready)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178))),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11464, 60, 11461])).
% 7.67/5.46 tff(11466,plain,
% 7.67/5.46 (~m_main_v_state(s178, c_ready)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11465, 11457, 11434])).
% 7.67/5.46 tff(11467,plain,
% 7.67/5.46 (~m_main_v_state(s178, c_busy)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11400, 72, 11438])).
% 7.67/5.46 tff(11468,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11469,plain,
% 7.67/5.46 ((~![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))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11470,plain,
% 7.67/5.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s178, c_busy) | m_main_v_state(s178, c_ready)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11469, 11468])).
% 7.67/5.46 tff(11471,plain,
% 7.67/5.46 ($false),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11470, 89, 11467, 11466])).
% 7.67/5.46 tff(11472,plain,(~node4(s178)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.46 tff(11473,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11474,plain,
% 7.67/5.46 ((node4(s178) | (~until5(s178)) | xuntil6(s178)) <=> (xuntil6(s178) | node4(s178) | (~until5(s178)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11475,plain,
% 7.67/5.46 (((~![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))))),
% 7.67/5.46 inference(monotonicity,[status(thm)],[11474])).
% 7.67/5.46 tff(11476,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(transitivity,[status(thm)],[11475, 11473])).
% 7.67/5.46 tff(11477,plain,
% 7.67/5.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s178) | (~until5(s178)) | xuntil6(s178))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11478,plain,
% 7.67/5.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s178) | node4(s178) | (~until5(s178))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11477, 11476])).
% 7.67/5.46 tff(11479,plain,
% 7.67/5.46 (xuntil6(s178) | (~until5(s178))),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11478, 352, 11472])).
% 7.67/5.46 tff(11480,plain,
% 7.67/5.46 (xuntil6(s178)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11479, 11429])).
% 7.67/5.46 tff(11481,plain,
% 7.67/5.46 (((~![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))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11482,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s178, s179)) | (~xuntil6(s178)) | until5(s179))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11483,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s178, s179)) | (~xuntil6(s178)) | until5(s179)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11482, 11481])).
% 7.67/5.46 tff(11484,plain,
% 7.67/5.46 ((~xuntil6(s178)) | until5(s179)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11483, 11441, 370])).
% 7.67/5.46 tff(11485,plain,
% 7.67/5.46 (until5(s179)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11484, 11480])).
% 7.67/5.46 tff(11486,assumption,(node4(s179)), introduced(assumption)).
% 7.67/5.46 tff(11487,plain,
% 7.67/5.46 (((~![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)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11488,plain,
% 7.67/5.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s179) | (~node4(s179)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11489,plain,
% 7.67/5.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s179) | (~node4(s179))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11488, 11487])).
% 7.67/5.46 tff(11490,plain,
% 7.67/5.46 (m_main_v_request(s179)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11489, 28, 11486])).
% 7.67/5.46 tff(11491,plain,
% 7.67/5.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s179) | (~node4(s179)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s179) | (~node4(s179)))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11492,plain,
% 7.67/5.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s179) | (~node4(s179)))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11493,plain,
% 7.67/5.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s179) | (~node4(s179))),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11492, 11491])).
% 7.67/5.46 tff(11494,plain,
% 7.67/5.46 (always3(s179)),
% 7.67/5.46 inference(unit_resolution,[status(thm)],[11493, 16, 11486])).
% 7.67/5.46 tff(11495,plain,
% 7.67/5.46 (succ(s179, s180) <=> succ(s179, s180)),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11496,axiom,(succ(s179, s180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound180')).
% 7.67/5.46 tff(11497,plain,
% 7.67/5.46 (succ(s179, s180)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11496, 11495])).
% 7.67/5.46 tff(11498,plain,
% 7.67/5.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180))),
% 7.67/5.46 inference(rewrite,[status(thm)],[])).
% 7.67/5.46 tff(11499,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))),
% 7.67/5.46 inference(quant_inst,[status(thm)],[])).
% 7.67/5.46 tff(11500,plain,
% 7.67/5.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180)),
% 7.67/5.46 inference(modus_ponens,[status(thm)],[11499, 11498])).
% 7.67/5.47 tff(11501,plain,
% 7.67/5.47 (trans(s179, s180)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11500, 11497, 39])).
% 7.67/5.47 tff(11502,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11503,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s179, s180)) | (~always3(s179)) | always3(s180))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11504,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s179, s180)) | (~always3(s179)) | always3(s180)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11503, 11502])).
% 7.67/5.47 tff(11505,plain,
% 7.67/5.47 ((~always3(s179)) | always3(s180)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11504, 112, 11501])).
% 7.67/5.47 tff(11506,plain,
% 7.67/5.47 (always3(s180)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11505, 11494])).
% 7.67/5.47 tff(11507,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11508,plain,
% 7.67/5.47 (((~m_main_v_state(s180, c_busy)) | (~always3(s180))) <=> ((~always3(s180)) | (~m_main_v_state(s180, c_busy)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11509,plain,
% 7.67/5.47 (((~![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))))),
% 7.67/5.47 inference(monotonicity,[status(thm)],[11508])).
% 7.67/5.47 tff(11510,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(transitivity,[status(thm)],[11509, 11507])).
% 7.67/5.47 tff(11511,plain,
% 7.67/5.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s180, c_busy)) | (~always3(s180)))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11512,plain,
% 7.67/5.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s180)) | (~m_main_v_state(s180, c_busy))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11511, 11510])).
% 7.67/5.47 tff(11513,plain,
% 7.67/5.47 (~m_main_v_state(s180, c_busy)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11512, 72, 11506])).
% 7.67/5.47 tff(11514,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11515,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s179, s180)) | node2(s179, s180))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11516,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s179, s180)) | node2(s179, s180)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11515, 11514])).
% 7.67/5.47 tff(11517,plain,
% 7.67/5.47 (node2(s179, s180)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11516, 7, 11501])).
% 7.67/5.47 tff(11518,plain,
% 7.67/5.47 (((~![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(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)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11519,plain,
% 7.67/5.47 ((~![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(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179)))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11520,plain,
% 7.67/5.47 ((~![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(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11519, 11518])).
% 7.67/5.47 tff(11521,plain,
% 7.67/5.47 ((~m_main_v_state(s179, c_ready)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179))),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11520, 60, 11517])).
% 7.67/5.47 tff(11522,plain,
% 7.67/5.47 (~m_main_v_state(s179, c_ready)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11521, 11513, 11490])).
% 7.67/5.47 tff(11523,plain,
% 7.67/5.47 (~m_main_v_state(s179, c_busy)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11456, 72, 11494])).
% 7.67/5.47 tff(11524,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11525,plain,
% 7.67/5.47 ((~![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))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11526,plain,
% 7.67/5.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s179, c_busy) | m_main_v_state(s179, c_ready)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11525, 11524])).
% 7.67/5.47 tff(11527,plain,
% 7.67/5.47 ($false),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11526, 89, 11523, 11522])).
% 7.67/5.47 tff(11528,plain,(~node4(s179)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.47 tff(11529,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11530,plain,
% 7.67/5.47 ((node4(s179) | (~until5(s179)) | xuntil6(s179)) <=> (xuntil6(s179) | node4(s179) | (~until5(s179)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11531,plain,
% 7.67/5.47 (((~![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))))),
% 7.67/5.47 inference(monotonicity,[status(thm)],[11530])).
% 7.67/5.47 tff(11532,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(transitivity,[status(thm)],[11531, 11529])).
% 7.67/5.47 tff(11533,plain,
% 7.67/5.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s179) | (~until5(s179)) | xuntil6(s179))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11534,plain,
% 7.67/5.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s179) | node4(s179) | (~until5(s179))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11533, 11532])).
% 7.67/5.47 tff(11535,plain,
% 7.67/5.47 (xuntil6(s179) | (~until5(s179))),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11534, 352, 11528])).
% 7.67/5.47 tff(11536,plain,
% 7.67/5.47 (xuntil6(s179)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11535, 11485])).
% 7.67/5.47 tff(11537,plain,
% 7.67/5.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11538,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11539,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11538, 11537])).
% 7.67/5.47 tff(11540,plain,
% 7.67/5.47 ((~xuntil6(s179)) | until5(s180)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11539, 11497, 370])).
% 7.67/5.47 tff(11541,plain,
% 7.67/5.47 (until5(s180)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11540, 11536])).
% 7.67/5.47 tff(11542,assumption,(node4(s180)), introduced(assumption)).
% 7.67/5.47 tff(11543,plain,
% 7.67/5.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s180) | (~node4(s180)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s180) | (~node4(s180)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11544,plain,
% 7.67/5.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s180) | (~node4(s180)))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11545,plain,
% 7.67/5.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s180) | (~node4(s180))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11544, 11543])).
% 7.67/5.47 tff(11546,plain,
% 7.67/5.47 (always3(s180)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11545, 16, 11542])).
% 7.67/5.47 tff(11547,assumption,(~m_main_v_state(s181, c_busy)), introduced(assumption)).
% 7.67/5.47 tff(11548,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11549,plain,
% 7.67/5.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s180) | (~node4(s180)))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11550,plain,
% 7.67/5.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s180) | (~node4(s180))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11549, 11548])).
% 7.67/5.47 tff(11551,plain,
% 7.67/5.47 (m_main_v_request(s180)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11550, 28, 11542])).
% 7.67/5.47 tff(11552,plain,
% 7.67/5.47 (succ(s180, s181) <=> succ(s180, s181)),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11553,axiom,(succ(s180, s181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound181')).
% 7.67/5.47 tff(11554,plain,
% 7.67/5.47 (succ(s180, s181)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11553, 11552])).
% 7.67/5.47 tff(11555,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11556,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11557,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11556, 11555])).
% 7.67/5.47 tff(11558,plain,
% 7.67/5.47 (trans(s180, s181)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11557, 11554, 39])).
% 7.67/5.47 tff(11559,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11560,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s180, s181)) | node2(s180, s181))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11561,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s180, s181)) | node2(s180, s181)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11560, 11559])).
% 7.67/5.47 tff(11562,plain,
% 7.67/5.47 (node2(s180, s181)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11561, 7, 11558])).
% 7.67/5.47 tff(11563,plain,
% 7.67/5.47 (((~![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(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)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11564,plain,
% 7.67/5.47 ((~![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(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180)))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11565,plain,
% 7.67/5.47 ((~![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(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11564, 11563])).
% 7.67/5.47 tff(11566,plain,
% 7.67/5.47 ((~m_main_v_state(s180, c_ready)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180))),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11565, 60, 11562])).
% 7.67/5.47 tff(11567,plain,
% 7.67/5.47 (~m_main_v_state(s180, c_ready)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11566, 11551, 11547])).
% 7.67/5.47 tff(11568,plain,
% 7.67/5.47 (~m_main_v_state(s180, c_busy)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11512, 72, 11546])).
% 7.67/5.47 tff(11569,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11570,plain,
% 7.67/5.47 ((~![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))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11571,plain,
% 7.67/5.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s180, c_busy) | m_main_v_state(s180, c_ready)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11570, 11569])).
% 7.67/5.47 tff(11572,plain,
% 7.67/5.47 ($false),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11571, 89, 11568, 11567])).
% 7.67/5.47 tff(11573,plain,((~node4(s180)) | m_main_v_state(s181, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.47 tff(11574,plain,
% 7.67/5.47 (m_main_v_state(s181, c_busy)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11573, 11542])).
% 7.67/5.47 tff(11575,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11576,plain,
% 7.67/5.47 (((~m_main_v_state(s181, c_busy)) | (~always3(s181))) <=> ((~always3(s181)) | (~m_main_v_state(s181, c_busy)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11577,plain,
% 7.67/5.47 (((~![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))))),
% 7.67/5.47 inference(monotonicity,[status(thm)],[11576])).
% 7.67/5.47 tff(11578,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(transitivity,[status(thm)],[11577, 11575])).
% 7.67/5.47 tff(11579,plain,
% 7.67/5.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s181, c_busy)) | (~always3(s181)))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11580,plain,
% 7.67/5.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s181)) | (~m_main_v_state(s181, c_busy))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11579, 11578])).
% 7.67/5.47 tff(11581,plain,
% 7.67/5.47 (~always3(s181)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11580, 72, 11574])).
% 7.67/5.47 tff(11582,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11583,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s180, s181)) | (~always3(s180)) | always3(s181))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11584,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s180, s181)) | (~always3(s180)) | always3(s181)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11583, 11582])).
% 7.67/5.47 tff(11585,plain,
% 7.67/5.47 ((~always3(s180)) | always3(s181)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11584, 112, 11558])).
% 7.67/5.47 tff(11586,plain,
% 7.67/5.47 ($false),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11585, 11581, 11546])).
% 7.67/5.47 tff(11587,plain,(~node4(s180)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.47 tff(11588,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11589,plain,
% 7.67/5.47 ((node4(s180) | (~until5(s180)) | xuntil6(s180)) <=> (xuntil6(s180) | node4(s180) | (~until5(s180)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11590,plain,
% 7.67/5.47 (((~![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))))),
% 7.67/5.47 inference(monotonicity,[status(thm)],[11589])).
% 7.67/5.47 tff(11591,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(transitivity,[status(thm)],[11590, 11588])).
% 7.67/5.47 tff(11592,plain,
% 7.67/5.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s180) | (~until5(s180)) | xuntil6(s180))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11593,plain,
% 7.67/5.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s180) | node4(s180) | (~until5(s180))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11592, 11591])).
% 7.67/5.47 tff(11594,plain,
% 7.67/5.47 (xuntil6(s180) | (~until5(s180))),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11593, 352, 11587])).
% 7.67/5.47 tff(11595,plain,
% 7.67/5.47 (xuntil6(s180)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11594, 11541])).
% 7.67/5.47 tff(11596,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11597,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11598,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11597, 11596])).
% 7.67/5.47 tff(11599,plain,
% 7.67/5.47 ((~xuntil6(s180)) | until5(s181)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11598, 11554, 370])).
% 7.67/5.47 tff(11600,plain,
% 7.67/5.47 (until5(s181)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11599, 11595])).
% 7.67/5.47 tff(11601,assumption,(node4(s181)), introduced(assumption)).
% 7.67/5.47 tff(11602,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11603,plain,
% 7.67/5.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s181) | (~node4(s181)))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11604,plain,
% 7.67/5.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s181) | (~node4(s181))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11603, 11602])).
% 7.67/5.47 tff(11605,plain,
% 7.67/5.47 (m_main_v_request(s181)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11604, 28, 11601])).
% 7.67/5.47 tff(11606,plain,
% 7.67/5.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s181) | (~node4(s181)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s181) | (~node4(s181)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11607,plain,
% 7.67/5.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s181) | (~node4(s181)))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11608,plain,
% 7.67/5.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s181) | (~node4(s181))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11607, 11606])).
% 7.67/5.47 tff(11609,plain,
% 7.67/5.47 (always3(s181)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11608, 16, 11601])).
% 7.67/5.47 tff(11610,plain,
% 7.67/5.47 (succ(s181, s182) <=> succ(s181, s182)),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11611,axiom,(succ(s181, s182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound182')).
% 7.67/5.47 tff(11612,plain,
% 7.67/5.47 (succ(s181, s182)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11611, 11610])).
% 7.67/5.47 tff(11613,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11614,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11615,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11614, 11613])).
% 7.67/5.47 tff(11616,plain,
% 7.67/5.47 (trans(s181, s182)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11615, 11612, 39])).
% 7.67/5.47 tff(11617,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11618,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s181, s182)) | (~always3(s181)) | always3(s182))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11619,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s181, s182)) | (~always3(s181)) | always3(s182)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11618, 11617])).
% 7.67/5.47 tff(11620,plain,
% 7.67/5.47 ((~always3(s181)) | always3(s182)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11619, 112, 11616])).
% 7.67/5.47 tff(11621,plain,
% 7.67/5.47 (always3(s182)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11620, 11609])).
% 7.67/5.47 tff(11622,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11623,plain,
% 7.67/5.47 (((~m_main_v_state(s182, c_busy)) | (~always3(s182))) <=> ((~always3(s182)) | (~m_main_v_state(s182, c_busy)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11624,plain,
% 7.67/5.47 (((~![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))))),
% 7.67/5.47 inference(monotonicity,[status(thm)],[11623])).
% 7.67/5.47 tff(11625,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(transitivity,[status(thm)],[11624, 11622])).
% 7.67/5.47 tff(11626,plain,
% 7.67/5.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s182, c_busy)) | (~always3(s182)))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11627,plain,
% 7.67/5.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s182)) | (~m_main_v_state(s182, c_busy))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11626, 11625])).
% 7.67/5.47 tff(11628,plain,
% 7.67/5.47 (~m_main_v_state(s182, c_busy)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11627, 72, 11621])).
% 7.67/5.47 tff(11629,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11630,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s181, s182)) | node2(s181, s182))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11631,plain,
% 7.67/5.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s181, s182)) | node2(s181, s182)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11630, 11629])).
% 7.67/5.47 tff(11632,plain,
% 7.67/5.47 (node2(s181, s182)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11631, 7, 11616])).
% 7.67/5.47 tff(11633,plain,
% 7.67/5.47 (((~![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(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)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11634,plain,
% 7.67/5.47 ((~![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(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181)))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11635,plain,
% 7.67/5.47 ((~![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(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11634, 11633])).
% 7.67/5.47 tff(11636,plain,
% 7.67/5.47 ((~m_main_v_state(s181, c_ready)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181))),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11635, 60, 11632])).
% 7.67/5.47 tff(11637,plain,
% 7.67/5.47 (~m_main_v_state(s181, c_ready)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11636, 11628, 11605])).
% 7.67/5.47 tff(11638,plain,
% 7.67/5.47 (~m_main_v_state(s181, c_busy)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11580, 72, 11609])).
% 7.67/5.47 tff(11639,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11640,plain,
% 7.67/5.47 ((~![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))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11641,plain,
% 7.67/5.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s181, c_busy) | m_main_v_state(s181, c_ready)),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11640, 11639])).
% 7.67/5.47 tff(11642,plain,
% 7.67/5.47 ($false),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11641, 89, 11638, 11637])).
% 7.67/5.47 tff(11643,plain,(~node4(s181)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.47 tff(11644,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11645,plain,
% 7.67/5.47 ((node4(s181) | (~until5(s181)) | xuntil6(s181)) <=> (xuntil6(s181) | node4(s181) | (~until5(s181)))),
% 7.67/5.47 inference(rewrite,[status(thm)],[])).
% 7.67/5.47 tff(11646,plain,
% 7.67/5.47 (((~![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))))),
% 7.67/5.47 inference(monotonicity,[status(thm)],[11645])).
% 7.67/5.47 tff(11647,plain,
% 7.67/5.47 (((~![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)))),
% 7.67/5.47 inference(transitivity,[status(thm)],[11646, 11644])).
% 7.67/5.47 tff(11648,plain,
% 7.67/5.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s181) | (~until5(s181)) | xuntil6(s181))),
% 7.67/5.47 inference(quant_inst,[status(thm)],[])).
% 7.67/5.47 tff(11649,plain,
% 7.67/5.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s181) | node4(s181) | (~until5(s181))),
% 7.67/5.47 inference(modus_ponens,[status(thm)],[11648, 11647])).
% 7.67/5.47 tff(11650,plain,
% 7.67/5.47 (xuntil6(s181) | (~until5(s181))),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11649, 352, 11643])).
% 7.67/5.47 tff(11651,plain,
% 7.67/5.47 (xuntil6(s181)),
% 7.67/5.47 inference(unit_resolution,[status(thm)],[11650, 11600])).
% 7.67/5.47 tff(11652,plain,
% 7.67/5.47 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11653,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11654,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11653, 11652])).
% 7.67/5.48 tff(11655,plain,
% 7.67/5.48 ((~xuntil6(s181)) | until5(s182)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11654, 11612, 370])).
% 7.67/5.48 tff(11656,plain,
% 7.67/5.48 (until5(s182)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11655, 11651])).
% 7.67/5.48 tff(11657,assumption,(node4(s182)), introduced(assumption)).
% 7.67/5.48 tff(11658,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11659,plain,
% 7.67/5.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s182) | (~node4(s182)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11660,plain,
% 7.67/5.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s182) | (~node4(s182))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11659, 11658])).
% 7.67/5.48 tff(11661,plain,
% 7.67/5.48 (m_main_v_request(s182)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11660, 28, 11657])).
% 7.67/5.48 tff(11662,plain,
% 7.67/5.48 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s182) | (~node4(s182)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s182) | (~node4(s182)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11663,plain,
% 7.67/5.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s182) | (~node4(s182)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11664,plain,
% 7.67/5.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s182) | (~node4(s182))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11663, 11662])).
% 7.67/5.48 tff(11665,plain,
% 7.67/5.48 (always3(s182)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11664, 16, 11657])).
% 7.67/5.48 tff(11666,plain,
% 7.67/5.48 (succ(s182, s183) <=> succ(s182, s183)),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11667,axiom,(succ(s182, s183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound183')).
% 7.67/5.48 tff(11668,plain,
% 7.67/5.48 (succ(s182, s183)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11667, 11666])).
% 7.67/5.48 tff(11669,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11670,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11671,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11670, 11669])).
% 7.67/5.48 tff(11672,plain,
% 7.67/5.48 (trans(s182, s183)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11671, 11668, 39])).
% 7.67/5.48 tff(11673,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11674,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s182, s183)) | (~always3(s182)) | always3(s183))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11675,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s182, s183)) | (~always3(s182)) | always3(s183)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11674, 11673])).
% 7.67/5.48 tff(11676,plain,
% 7.67/5.48 ((~always3(s182)) | always3(s183)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11675, 112, 11672])).
% 7.67/5.48 tff(11677,plain,
% 7.67/5.48 (always3(s183)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11676, 11665])).
% 7.67/5.48 tff(11678,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11679,plain,
% 7.67/5.48 (((~m_main_v_state(s183, c_busy)) | (~always3(s183))) <=> ((~always3(s183)) | (~m_main_v_state(s183, c_busy)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11680,plain,
% 7.67/5.48 (((~![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))))),
% 7.67/5.48 inference(monotonicity,[status(thm)],[11679])).
% 7.67/5.48 tff(11681,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(transitivity,[status(thm)],[11680, 11678])).
% 7.67/5.48 tff(11682,plain,
% 7.67/5.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s183, c_busy)) | (~always3(s183)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11683,plain,
% 7.67/5.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s183)) | (~m_main_v_state(s183, c_busy))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11682, 11681])).
% 7.67/5.48 tff(11684,plain,
% 7.67/5.48 (~m_main_v_state(s183, c_busy)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11683, 72, 11677])).
% 7.67/5.48 tff(11685,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11686,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s182, s183)) | node2(s182, s183))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11687,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s182, s183)) | node2(s182, s183)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11686, 11685])).
% 7.67/5.48 tff(11688,plain,
% 7.67/5.48 (node2(s182, s183)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11687, 7, 11672])).
% 7.67/5.48 tff(11689,plain,
% 7.67/5.48 (((~![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(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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11690,plain,
% 7.67/5.48 ((~![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(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11691,plain,
% 7.67/5.48 ((~![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(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11690, 11689])).
% 7.67/5.48 tff(11692,plain,
% 7.67/5.48 ((~m_main_v_state(s182, c_ready)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182))),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11691, 60, 11688])).
% 7.67/5.48 tff(11693,plain,
% 7.67/5.48 (~m_main_v_state(s182, c_ready)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11692, 11684, 11661])).
% 7.67/5.48 tff(11694,plain,
% 7.67/5.48 (~m_main_v_state(s182, c_busy)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11627, 72, 11665])).
% 7.67/5.48 tff(11695,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11696,plain,
% 7.67/5.48 ((~![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))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11697,plain,
% 7.67/5.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s182, c_busy) | m_main_v_state(s182, c_ready)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11696, 11695])).
% 7.67/5.48 tff(11698,plain,
% 7.67/5.48 ($false),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11697, 89, 11694, 11693])).
% 7.67/5.48 tff(11699,plain,(~node4(s182)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.48 tff(11700,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11701,plain,
% 7.67/5.48 ((node4(s182) | (~until5(s182)) | xuntil6(s182)) <=> (xuntil6(s182) | node4(s182) | (~until5(s182)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11702,plain,
% 7.67/5.48 (((~![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))))),
% 7.67/5.48 inference(monotonicity,[status(thm)],[11701])).
% 7.67/5.48 tff(11703,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(transitivity,[status(thm)],[11702, 11700])).
% 7.67/5.48 tff(11704,plain,
% 7.67/5.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s182) | (~until5(s182)) | xuntil6(s182))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11705,plain,
% 7.67/5.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s182) | node4(s182) | (~until5(s182))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11704, 11703])).
% 7.67/5.48 tff(11706,plain,
% 7.67/5.48 (xuntil6(s182) | (~until5(s182))),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11705, 352, 11699])).
% 7.67/5.48 tff(11707,plain,
% 7.67/5.48 (xuntil6(s182)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11706, 11656])).
% 7.67/5.48 tff(11708,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11709,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11710,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11709, 11708])).
% 7.67/5.48 tff(11711,plain,
% 7.67/5.48 ((~xuntil6(s182)) | until5(s183)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11710, 11668, 370])).
% 7.67/5.48 tff(11712,plain,
% 7.67/5.48 (until5(s183)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11711, 11707])).
% 7.67/5.48 tff(11713,assumption,(node4(s183)), introduced(assumption)).
% 7.67/5.48 tff(11714,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11715,plain,
% 7.67/5.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s183) | (~node4(s183)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11716,plain,
% 7.67/5.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s183) | (~node4(s183))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11715, 11714])).
% 7.67/5.48 tff(11717,plain,
% 7.67/5.48 (m_main_v_request(s183)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11716, 28, 11713])).
% 7.67/5.48 tff(11718,plain,
% 7.67/5.48 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s183) | (~node4(s183)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s183) | (~node4(s183)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11719,plain,
% 7.67/5.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s183) | (~node4(s183)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11720,plain,
% 7.67/5.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s183) | (~node4(s183))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11719, 11718])).
% 7.67/5.48 tff(11721,plain,
% 7.67/5.48 (always3(s183)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11720, 16, 11713])).
% 7.67/5.48 tff(11722,plain,
% 7.67/5.48 (succ(s183, s184) <=> succ(s183, s184)),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11723,axiom,(succ(s183, s184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound184')).
% 7.67/5.48 tff(11724,plain,
% 7.67/5.48 (succ(s183, s184)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11723, 11722])).
% 7.67/5.48 tff(11725,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11726,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11727,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11726, 11725])).
% 7.67/5.48 tff(11728,plain,
% 7.67/5.48 (trans(s183, s184)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11727, 11724, 39])).
% 7.67/5.48 tff(11729,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11730,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s183, s184)) | (~always3(s183)) | always3(s184))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11731,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s183, s184)) | (~always3(s183)) | always3(s184)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11730, 11729])).
% 7.67/5.48 tff(11732,plain,
% 7.67/5.48 ((~always3(s183)) | always3(s184)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11731, 112, 11728])).
% 7.67/5.48 tff(11733,plain,
% 7.67/5.48 (always3(s184)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11732, 11721])).
% 7.67/5.48 tff(11734,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11735,plain,
% 7.67/5.48 (((~m_main_v_state(s184, c_busy)) | (~always3(s184))) <=> ((~always3(s184)) | (~m_main_v_state(s184, c_busy)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11736,plain,
% 7.67/5.48 (((~![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))))),
% 7.67/5.48 inference(monotonicity,[status(thm)],[11735])).
% 7.67/5.48 tff(11737,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(transitivity,[status(thm)],[11736, 11734])).
% 7.67/5.48 tff(11738,plain,
% 7.67/5.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s184, c_busy)) | (~always3(s184)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11739,plain,
% 7.67/5.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s184)) | (~m_main_v_state(s184, c_busy))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11738, 11737])).
% 7.67/5.48 tff(11740,plain,
% 7.67/5.48 (~m_main_v_state(s184, c_busy)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11739, 72, 11733])).
% 7.67/5.48 tff(11741,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11742,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s183, s184)) | node2(s183, s184))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11743,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s183, s184)) | node2(s183, s184)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11742, 11741])).
% 7.67/5.48 tff(11744,plain,
% 7.67/5.48 (node2(s183, s184)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11743, 7, 11728])).
% 7.67/5.48 tff(11745,plain,
% 7.67/5.48 (((~![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(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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11746,plain,
% 7.67/5.48 ((~![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(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11747,plain,
% 7.67/5.48 ((~![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(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11746, 11745])).
% 7.67/5.48 tff(11748,plain,
% 7.67/5.48 ((~m_main_v_state(s183, c_ready)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183))),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11747, 60, 11744])).
% 7.67/5.48 tff(11749,plain,
% 7.67/5.48 (~m_main_v_state(s183, c_ready)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11748, 11740, 11717])).
% 7.67/5.48 tff(11750,plain,
% 7.67/5.48 (~m_main_v_state(s183, c_busy)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11683, 72, 11721])).
% 7.67/5.48 tff(11751,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11752,plain,
% 7.67/5.48 ((~![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))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11753,plain,
% 7.67/5.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s183, c_busy) | m_main_v_state(s183, c_ready)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11752, 11751])).
% 7.67/5.48 tff(11754,plain,
% 7.67/5.48 ($false),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11753, 89, 11750, 11749])).
% 7.67/5.48 tff(11755,plain,(~node4(s183)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.48 tff(11756,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11757,plain,
% 7.67/5.48 ((node4(s183) | (~until5(s183)) | xuntil6(s183)) <=> (xuntil6(s183) | node4(s183) | (~until5(s183)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11758,plain,
% 7.67/5.48 (((~![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))))),
% 7.67/5.48 inference(monotonicity,[status(thm)],[11757])).
% 7.67/5.48 tff(11759,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(transitivity,[status(thm)],[11758, 11756])).
% 7.67/5.48 tff(11760,plain,
% 7.67/5.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s183) | (~until5(s183)) | xuntil6(s183))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11761,plain,
% 7.67/5.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s183) | node4(s183) | (~until5(s183))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11760, 11759])).
% 7.67/5.48 tff(11762,plain,
% 7.67/5.48 (xuntil6(s183) | (~until5(s183))),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11761, 352, 11755])).
% 7.67/5.48 tff(11763,plain,
% 7.67/5.48 (xuntil6(s183)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11762, 11712])).
% 7.67/5.48 tff(11764,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11765,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11766,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11765, 11764])).
% 7.67/5.48 tff(11767,plain,
% 7.67/5.48 ((~xuntil6(s183)) | until5(s184)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11766, 11724, 370])).
% 7.67/5.48 tff(11768,plain,
% 7.67/5.48 (until5(s184)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11767, 11763])).
% 7.67/5.48 tff(11769,assumption,(node4(s184)), introduced(assumption)).
% 7.67/5.48 tff(11770,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11771,plain,
% 7.67/5.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s184) | (~node4(s184)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11772,plain,
% 7.67/5.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s184) | (~node4(s184))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11771, 11770])).
% 7.67/5.48 tff(11773,plain,
% 7.67/5.48 (m_main_v_request(s184)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11772, 28, 11769])).
% 7.67/5.48 tff(11774,plain,
% 7.67/5.48 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s184) | (~node4(s184)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s184) | (~node4(s184)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11775,plain,
% 7.67/5.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s184) | (~node4(s184)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11776,plain,
% 7.67/5.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s184) | (~node4(s184))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11775, 11774])).
% 7.67/5.48 tff(11777,plain,
% 7.67/5.48 (always3(s184)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11776, 16, 11769])).
% 7.67/5.48 tff(11778,plain,
% 7.67/5.48 (succ(s184, s185) <=> succ(s184, s185)),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11779,axiom,(succ(s184, s185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound185')).
% 7.67/5.48 tff(11780,plain,
% 7.67/5.48 (succ(s184, s185)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11779, 11778])).
% 7.67/5.48 tff(11781,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11782,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11783,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11782, 11781])).
% 7.67/5.48 tff(11784,plain,
% 7.67/5.48 (trans(s184, s185)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11783, 11780, 39])).
% 7.67/5.48 tff(11785,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11786,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s184, s185)) | (~always3(s184)) | always3(s185))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11787,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s184, s185)) | (~always3(s184)) | always3(s185)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11786, 11785])).
% 7.67/5.48 tff(11788,plain,
% 7.67/5.48 ((~always3(s184)) | always3(s185)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11787, 112, 11784])).
% 7.67/5.48 tff(11789,plain,
% 7.67/5.48 (always3(s185)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11788, 11777])).
% 7.67/5.48 tff(11790,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11791,plain,
% 7.67/5.48 (((~m_main_v_state(s185, c_busy)) | (~always3(s185))) <=> ((~always3(s185)) | (~m_main_v_state(s185, c_busy)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11792,plain,
% 7.67/5.48 (((~![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))))),
% 7.67/5.48 inference(monotonicity,[status(thm)],[11791])).
% 7.67/5.48 tff(11793,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(transitivity,[status(thm)],[11792, 11790])).
% 7.67/5.48 tff(11794,plain,
% 7.67/5.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s185, c_busy)) | (~always3(s185)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11795,plain,
% 7.67/5.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s185)) | (~m_main_v_state(s185, c_busy))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11794, 11793])).
% 7.67/5.48 tff(11796,plain,
% 7.67/5.48 (~m_main_v_state(s185, c_busy)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11795, 72, 11789])).
% 7.67/5.48 tff(11797,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11798,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s184, s185)) | node2(s184, s185))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11799,plain,
% 7.67/5.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s184, s185)) | node2(s184, s185)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11798, 11797])).
% 7.67/5.48 tff(11800,plain,
% 7.67/5.48 (node2(s184, s185)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11799, 7, 11784])).
% 7.67/5.48 tff(11801,plain,
% 7.67/5.48 (((~![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(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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11802,plain,
% 7.67/5.48 ((~![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(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184)))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11803,plain,
% 7.67/5.48 ((~![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(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184))),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11802, 11801])).
% 7.67/5.48 tff(11804,plain,
% 7.67/5.48 ((~m_main_v_state(s184, c_ready)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184))),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11803, 60, 11800])).
% 7.67/5.48 tff(11805,plain,
% 7.67/5.48 (~m_main_v_state(s184, c_ready)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11804, 11796, 11773])).
% 7.67/5.48 tff(11806,plain,
% 7.67/5.48 (~m_main_v_state(s184, c_busy)),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11739, 72, 11777])).
% 7.67/5.48 tff(11807,plain,
% 7.67/5.48 (((~![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))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11808,plain,
% 7.67/5.48 ((~![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))),
% 7.67/5.48 inference(quant_inst,[status(thm)],[])).
% 7.67/5.48 tff(11809,plain,
% 7.67/5.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s184, c_busy) | m_main_v_state(s184, c_ready)),
% 7.67/5.48 inference(modus_ponens,[status(thm)],[11808, 11807])).
% 7.67/5.48 tff(11810,plain,
% 7.67/5.48 ($false),
% 7.67/5.48 inference(unit_resolution,[status(thm)],[11809, 89, 11806, 11805])).
% 7.67/5.48 tff(11811,plain,(~node4(s184)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.48 tff(11812,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11813,plain,
% 7.67/5.48 ((node4(s184) | (~until5(s184)) | xuntil6(s184)) <=> (xuntil6(s184) | node4(s184) | (~until5(s184)))),
% 7.67/5.48 inference(rewrite,[status(thm)],[])).
% 7.67/5.48 tff(11814,plain,
% 7.67/5.48 (((~![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))))),
% 7.67/5.48 inference(monotonicity,[status(thm)],[11813])).
% 7.67/5.48 tff(11815,plain,
% 7.67/5.48 (((~![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)))),
% 7.67/5.48 inference(transitivity,[status(thm)],[11814, 11812])).
% 7.67/5.48 tff(11816,plain,
% 7.67/5.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s184) | (~until5(s184)) | xuntil6(s184))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11817,plain,
% 7.67/5.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s184) | node4(s184) | (~until5(s184))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11816, 11815])).
% 7.67/5.49 tff(11818,plain,
% 7.67/5.49 (xuntil6(s184) | (~until5(s184))),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11817, 352, 11811])).
% 7.67/5.49 tff(11819,plain,
% 7.67/5.49 (xuntil6(s184)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11818, 11768])).
% 7.67/5.49 tff(11820,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11821,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11822,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11821, 11820])).
% 7.67/5.49 tff(11823,plain,
% 7.67/5.49 ((~xuntil6(s184)) | until5(s185)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11822, 11780, 370])).
% 7.67/5.49 tff(11824,plain,
% 7.67/5.49 (until5(s185)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11823, 11819])).
% 7.67/5.49 tff(11825,assumption,(node4(s185)), introduced(assumption)).
% 7.67/5.49 tff(11826,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11827,plain,
% 7.67/5.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s185) | (~node4(s185)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11828,plain,
% 7.67/5.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s185) | (~node4(s185))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11827, 11826])).
% 7.67/5.49 tff(11829,plain,
% 7.67/5.49 (m_main_v_request(s185)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11828, 28, 11825])).
% 7.67/5.49 tff(11830,plain,
% 7.67/5.49 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s185) | (~node4(s185)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s185) | (~node4(s185)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11831,plain,
% 7.67/5.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s185) | (~node4(s185)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11832,plain,
% 7.67/5.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s185) | (~node4(s185))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11831, 11830])).
% 7.67/5.49 tff(11833,plain,
% 7.67/5.49 (always3(s185)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11832, 16, 11825])).
% 7.67/5.49 tff(11834,plain,
% 7.67/5.49 (succ(s185, s186) <=> succ(s185, s186)),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11835,axiom,(succ(s185, s186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound186')).
% 7.67/5.49 tff(11836,plain,
% 7.67/5.49 (succ(s185, s186)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11835, 11834])).
% 7.67/5.49 tff(11837,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11838,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11839,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11838, 11837])).
% 7.67/5.49 tff(11840,plain,
% 7.67/5.49 (trans(s185, s186)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11839, 11836, 39])).
% 7.67/5.49 tff(11841,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11842,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s185, s186)) | (~always3(s185)) | always3(s186))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11843,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s185, s186)) | (~always3(s185)) | always3(s186)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11842, 11841])).
% 7.67/5.49 tff(11844,plain,
% 7.67/5.49 ((~always3(s185)) | always3(s186)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11843, 112, 11840])).
% 7.67/5.49 tff(11845,plain,
% 7.67/5.49 (always3(s186)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11844, 11833])).
% 7.67/5.49 tff(11846,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11847,plain,
% 7.67/5.49 (((~m_main_v_state(s186, c_busy)) | (~always3(s186))) <=> ((~always3(s186)) | (~m_main_v_state(s186, c_busy)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11848,plain,
% 7.67/5.49 (((~![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))))),
% 7.67/5.49 inference(monotonicity,[status(thm)],[11847])).
% 7.67/5.49 tff(11849,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(transitivity,[status(thm)],[11848, 11846])).
% 7.67/5.49 tff(11850,plain,
% 7.67/5.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s186, c_busy)) | (~always3(s186)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11851,plain,
% 7.67/5.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s186)) | (~m_main_v_state(s186, c_busy))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11850, 11849])).
% 7.67/5.49 tff(11852,plain,
% 7.67/5.49 (~m_main_v_state(s186, c_busy)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11851, 72, 11845])).
% 7.67/5.49 tff(11853,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11854,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s185, s186)) | node2(s185, s186))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11855,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s185, s186)) | node2(s185, s186)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11854, 11853])).
% 7.67/5.49 tff(11856,plain,
% 7.67/5.49 (node2(s185, s186)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11855, 7, 11840])).
% 7.67/5.49 tff(11857,plain,
% 7.67/5.49 (((~![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(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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11858,plain,
% 7.67/5.49 ((~![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(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11859,plain,
% 7.67/5.49 ((~![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(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11858, 11857])).
% 7.67/5.49 tff(11860,plain,
% 7.67/5.49 ((~m_main_v_state(s185, c_ready)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185))),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11859, 60, 11856])).
% 7.67/5.49 tff(11861,plain,
% 7.67/5.49 (~m_main_v_state(s185, c_ready)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11860, 11852, 11829])).
% 7.67/5.49 tff(11862,plain,
% 7.67/5.49 (~m_main_v_state(s185, c_busy)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11795, 72, 11833])).
% 7.67/5.49 tff(11863,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11864,plain,
% 7.67/5.49 ((~![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))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11865,plain,
% 7.67/5.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s185, c_busy) | m_main_v_state(s185, c_ready)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11864, 11863])).
% 7.67/5.49 tff(11866,plain,
% 7.67/5.49 ($false),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11865, 89, 11862, 11861])).
% 7.67/5.49 tff(11867,plain,(~node4(s185)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.49 tff(11868,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11869,plain,
% 7.67/5.49 ((node4(s185) | (~until5(s185)) | xuntil6(s185)) <=> (xuntil6(s185) | node4(s185) | (~until5(s185)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11870,plain,
% 7.67/5.49 (((~![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))))),
% 7.67/5.49 inference(monotonicity,[status(thm)],[11869])).
% 7.67/5.49 tff(11871,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(transitivity,[status(thm)],[11870, 11868])).
% 7.67/5.49 tff(11872,plain,
% 7.67/5.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s185) | (~until5(s185)) | xuntil6(s185))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11873,plain,
% 7.67/5.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s185) | node4(s185) | (~until5(s185))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11872, 11871])).
% 7.67/5.49 tff(11874,plain,
% 7.67/5.49 (xuntil6(s185) | (~until5(s185))),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11873, 352, 11867])).
% 7.67/5.49 tff(11875,plain,
% 7.67/5.49 (xuntil6(s185)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11874, 11824])).
% 7.67/5.49 tff(11876,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11877,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11878,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11877, 11876])).
% 7.67/5.49 tff(11879,plain,
% 7.67/5.49 ((~xuntil6(s185)) | until5(s186)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11878, 11836, 370])).
% 7.67/5.49 tff(11880,plain,
% 7.67/5.49 (until5(s186)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11879, 11875])).
% 7.67/5.49 tff(11881,assumption,(node4(s186)), introduced(assumption)).
% 7.67/5.49 tff(11882,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11883,plain,
% 7.67/5.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s186) | (~node4(s186)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11884,plain,
% 7.67/5.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s186) | (~node4(s186))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11883, 11882])).
% 7.67/5.49 tff(11885,plain,
% 7.67/5.49 (m_main_v_request(s186)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11884, 28, 11881])).
% 7.67/5.49 tff(11886,plain,
% 7.67/5.49 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s186) | (~node4(s186)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s186) | (~node4(s186)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11887,plain,
% 7.67/5.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s186) | (~node4(s186)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11888,plain,
% 7.67/5.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s186) | (~node4(s186))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11887, 11886])).
% 7.67/5.49 tff(11889,plain,
% 7.67/5.49 (always3(s186)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11888, 16, 11881])).
% 7.67/5.49 tff(11890,plain,
% 7.67/5.49 (succ(s186, s187) <=> succ(s186, s187)),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11891,axiom,(succ(s186, s187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound187')).
% 7.67/5.49 tff(11892,plain,
% 7.67/5.49 (succ(s186, s187)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11891, 11890])).
% 7.67/5.49 tff(11893,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11894,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11895,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11894, 11893])).
% 7.67/5.49 tff(11896,plain,
% 7.67/5.49 (trans(s186, s187)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11895, 11892, 39])).
% 7.67/5.49 tff(11897,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11898,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s186, s187)) | (~always3(s186)) | always3(s187))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11899,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s186, s187)) | (~always3(s186)) | always3(s187)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11898, 11897])).
% 7.67/5.49 tff(11900,plain,
% 7.67/5.49 ((~always3(s186)) | always3(s187)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11899, 112, 11896])).
% 7.67/5.49 tff(11901,plain,
% 7.67/5.49 (always3(s187)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11900, 11889])).
% 7.67/5.49 tff(11902,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11903,plain,
% 7.67/5.49 (((~m_main_v_state(s187, c_busy)) | (~always3(s187))) <=> ((~always3(s187)) | (~m_main_v_state(s187, c_busy)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11904,plain,
% 7.67/5.49 (((~![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))))),
% 7.67/5.49 inference(monotonicity,[status(thm)],[11903])).
% 7.67/5.49 tff(11905,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(transitivity,[status(thm)],[11904, 11902])).
% 7.67/5.49 tff(11906,plain,
% 7.67/5.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s187, c_busy)) | (~always3(s187)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11907,plain,
% 7.67/5.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s187)) | (~m_main_v_state(s187, c_busy))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11906, 11905])).
% 7.67/5.49 tff(11908,plain,
% 7.67/5.49 (~m_main_v_state(s187, c_busy)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11907, 72, 11901])).
% 7.67/5.49 tff(11909,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11910,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s186, s187)) | node2(s186, s187))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11911,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s186, s187)) | node2(s186, s187)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 7.67/5.49 tff(11912,plain,
% 7.67/5.49 (node2(s186, s187)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11911, 7, 11896])).
% 7.67/5.49 tff(11913,plain,
% 7.67/5.49 (((~![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(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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11914,plain,
% 7.67/5.49 ((~![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(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11915,plain,
% 7.67/5.49 ((~![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(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11914, 11913])).
% 7.67/5.49 tff(11916,plain,
% 7.67/5.49 ((~m_main_v_state(s186, c_ready)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186))),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11915, 60, 11912])).
% 7.67/5.49 tff(11917,plain,
% 7.67/5.49 (~m_main_v_state(s186, c_ready)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11916, 11908, 11885])).
% 7.67/5.49 tff(11918,plain,
% 7.67/5.49 (~m_main_v_state(s186, c_busy)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11851, 72, 11889])).
% 7.67/5.49 tff(11919,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11920,plain,
% 7.67/5.49 ((~![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))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11921,plain,
% 7.67/5.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s186, c_busy) | m_main_v_state(s186, c_ready)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11920, 11919])).
% 7.67/5.49 tff(11922,plain,
% 7.67/5.49 ($false),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11921, 89, 11918, 11917])).
% 7.67/5.49 tff(11923,plain,(~node4(s186)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.49 tff(11924,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11925,plain,
% 7.67/5.49 ((node4(s186) | (~until5(s186)) | xuntil6(s186)) <=> (xuntil6(s186) | node4(s186) | (~until5(s186)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11926,plain,
% 7.67/5.49 (((~![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))))),
% 7.67/5.49 inference(monotonicity,[status(thm)],[11925])).
% 7.67/5.49 tff(11927,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(transitivity,[status(thm)],[11926, 11924])).
% 7.67/5.49 tff(11928,plain,
% 7.67/5.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s186) | (~until5(s186)) | xuntil6(s186))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11929,plain,
% 7.67/5.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s186) | node4(s186) | (~until5(s186))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11928, 11927])).
% 7.67/5.49 tff(11930,plain,
% 7.67/5.49 (xuntil6(s186) | (~until5(s186))),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11929, 352, 11923])).
% 7.67/5.49 tff(11931,plain,
% 7.67/5.49 (xuntil6(s186)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11930, 11880])).
% 7.67/5.49 tff(11932,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11933,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s186, s187)) | (~xuntil6(s186)) | until5(s187))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11934,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s186, s187)) | (~xuntil6(s186)) | until5(s187)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11933, 11932])).
% 7.67/5.49 tff(11935,plain,
% 7.67/5.49 ((~xuntil6(s186)) | until5(s187)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11934, 11892, 370])).
% 7.67/5.49 tff(11936,plain,
% 7.67/5.49 (until5(s187)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11935, 11931])).
% 7.67/5.49 tff(11937,assumption,(node4(s187)), introduced(assumption)).
% 7.67/5.49 tff(11938,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11939,plain,
% 7.67/5.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s187) | (~node4(s187)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11940,plain,
% 7.67/5.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s187) | (~node4(s187))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11939, 11938])).
% 7.67/5.49 tff(11941,plain,
% 7.67/5.49 (m_main_v_request(s187)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11940, 28, 11937])).
% 7.67/5.49 tff(11942,plain,
% 7.67/5.49 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s187) | (~node4(s187)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s187) | (~node4(s187)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11943,plain,
% 7.67/5.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s187) | (~node4(s187)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11944,plain,
% 7.67/5.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s187) | (~node4(s187))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11943, 11942])).
% 7.67/5.49 tff(11945,plain,
% 7.67/5.49 (always3(s187)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11944, 16, 11937])).
% 7.67/5.49 tff(11946,plain,
% 7.67/5.49 (succ(s187, s188) <=> succ(s187, s188)),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11947,axiom,(succ(s187, s188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound188')).
% 7.67/5.49 tff(11948,plain,
% 7.67/5.49 (succ(s187, s188)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11947, 11946])).
% 7.67/5.49 tff(11949,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11950,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11951,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11950, 11949])).
% 7.67/5.49 tff(11952,plain,
% 7.67/5.49 (trans(s187, s188)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11951, 11948, 39])).
% 7.67/5.49 tff(11953,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11954,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s187, s188)) | (~always3(s187)) | always3(s188))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11955,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s187, s188)) | (~always3(s187)) | always3(s188)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11954, 11953])).
% 7.67/5.49 tff(11956,plain,
% 7.67/5.49 ((~always3(s187)) | always3(s188)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11955, 112, 11952])).
% 7.67/5.49 tff(11957,plain,
% 7.67/5.49 (always3(s188)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11956, 11945])).
% 7.67/5.49 tff(11958,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11959,plain,
% 7.67/5.49 (((~m_main_v_state(s188, c_busy)) | (~always3(s188))) <=> ((~always3(s188)) | (~m_main_v_state(s188, c_busy)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11960,plain,
% 7.67/5.49 (((~![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))))),
% 7.67/5.49 inference(monotonicity,[status(thm)],[11959])).
% 7.67/5.49 tff(11961,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(transitivity,[status(thm)],[11960, 11958])).
% 7.67/5.49 tff(11962,plain,
% 7.67/5.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s188, c_busy)) | (~always3(s188)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11963,plain,
% 7.67/5.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s188)) | (~m_main_v_state(s188, c_busy))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11962, 11961])).
% 7.67/5.49 tff(11964,plain,
% 7.67/5.49 (~m_main_v_state(s188, c_busy)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11963, 72, 11957])).
% 7.67/5.49 tff(11965,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11966,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s187, s188)) | node2(s187, s188))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11967,plain,
% 7.67/5.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s187, s188)) | node2(s187, s188)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11966, 11965])).
% 7.67/5.49 tff(11968,plain,
% 7.67/5.49 (node2(s187, s188)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11967, 7, 11952])).
% 7.67/5.49 tff(11969,plain,
% 7.67/5.49 (((~![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(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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11970,plain,
% 7.67/5.49 ((~![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(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187)))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11971,plain,
% 7.67/5.49 ((~![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(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11970, 11969])).
% 7.67/5.49 tff(11972,plain,
% 7.67/5.49 ((~m_main_v_state(s187, c_ready)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187))),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11971, 60, 11968])).
% 7.67/5.49 tff(11973,plain,
% 7.67/5.49 (~m_main_v_state(s187, c_ready)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11972, 11964, 11941])).
% 7.67/5.49 tff(11974,plain,
% 7.67/5.49 (~m_main_v_state(s187, c_busy)),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11907, 72, 11945])).
% 7.67/5.49 tff(11975,plain,
% 7.67/5.49 (((~![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))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11976,plain,
% 7.67/5.49 ((~![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))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11977,plain,
% 7.67/5.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s187, c_busy) | m_main_v_state(s187, c_ready)),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11976, 11975])).
% 7.67/5.49 tff(11978,plain,
% 7.67/5.49 ($false),
% 7.67/5.49 inference(unit_resolution,[status(thm)],[11977, 89, 11974, 11973])).
% 7.67/5.49 tff(11979,plain,(~node4(s187)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.49 tff(11980,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11981,plain,
% 7.67/5.49 ((node4(s187) | (~until5(s187)) | xuntil6(s187)) <=> (xuntil6(s187) | node4(s187) | (~until5(s187)))),
% 7.67/5.49 inference(rewrite,[status(thm)],[])).
% 7.67/5.49 tff(11982,plain,
% 7.67/5.49 (((~![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))))),
% 7.67/5.49 inference(monotonicity,[status(thm)],[11981])).
% 7.67/5.49 tff(11983,plain,
% 7.67/5.49 (((~![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)))),
% 7.67/5.49 inference(transitivity,[status(thm)],[11982, 11980])).
% 7.67/5.49 tff(11984,plain,
% 7.67/5.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s187) | (~until5(s187)) | xuntil6(s187))),
% 7.67/5.49 inference(quant_inst,[status(thm)],[])).
% 7.67/5.49 tff(11985,plain,
% 7.67/5.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s187) | node4(s187) | (~until5(s187))),
% 7.67/5.49 inference(modus_ponens,[status(thm)],[11984, 11983])).
% 7.67/5.49 tff(11986,plain,
% 7.67/5.49 (xuntil6(s187) | (~until5(s187))),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[11985, 352, 11979])).
% 7.67/5.50 tff(11987,plain,
% 7.67/5.50 (xuntil6(s187)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[11986, 11936])).
% 7.67/5.50 tff(11988,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(11989,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(11990,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[11989, 11988])).
% 7.67/5.50 tff(11991,plain,
% 7.67/5.50 ((~xuntil6(s187)) | until5(s188)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[11990, 11948, 370])).
% 7.67/5.50 tff(11992,plain,
% 7.67/5.50 (until5(s188)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[11991, 11987])).
% 7.67/5.50 tff(11993,assumption,(node4(s188)), introduced(assumption)).
% 7.67/5.50 tff(11994,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(11995,plain,
% 7.67/5.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s188) | (~node4(s188)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(11996,plain,
% 7.67/5.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s188) | (~node4(s188))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[11995, 11994])).
% 7.67/5.50 tff(11997,plain,
% 7.67/5.50 (m_main_v_request(s188)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[11996, 28, 11993])).
% 7.67/5.50 tff(11998,plain,
% 7.67/5.50 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s188) | (~node4(s188)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s188) | (~node4(s188)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(11999,plain,
% 7.67/5.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s188) | (~node4(s188)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12000,plain,
% 7.67/5.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s188) | (~node4(s188))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[11999, 11998])).
% 7.67/5.50 tff(12001,plain,
% 7.67/5.50 (always3(s188)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12000, 16, 11993])).
% 7.67/5.50 tff(12002,plain,
% 7.67/5.50 (succ(s188, s189) <=> succ(s188, s189)),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12003,axiom,(succ(s188, s189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound189')).
% 7.67/5.50 tff(12004,plain,
% 7.67/5.50 (succ(s188, s189)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12003, 12002])).
% 7.67/5.50 tff(12005,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12006,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12007,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12006, 12005])).
% 7.67/5.50 tff(12008,plain,
% 7.67/5.50 (trans(s188, s189)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12007, 12004, 39])).
% 7.67/5.50 tff(12009,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12010,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s188, s189)) | (~always3(s188)) | always3(s189))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12011,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s188, s189)) | (~always3(s188)) | always3(s189)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12010, 12009])).
% 7.67/5.50 tff(12012,plain,
% 7.67/5.50 ((~always3(s188)) | always3(s189)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12011, 112, 12008])).
% 7.67/5.50 tff(12013,plain,
% 7.67/5.50 (always3(s189)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12012, 12001])).
% 7.67/5.50 tff(12014,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12015,plain,
% 7.67/5.50 (((~m_main_v_state(s189, c_busy)) | (~always3(s189))) <=> ((~always3(s189)) | (~m_main_v_state(s189, c_busy)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12016,plain,
% 7.67/5.50 (((~![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))))),
% 7.67/5.50 inference(monotonicity,[status(thm)],[12015])).
% 7.67/5.50 tff(12017,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(transitivity,[status(thm)],[12016, 12014])).
% 7.67/5.50 tff(12018,plain,
% 7.67/5.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s189, c_busy)) | (~always3(s189)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12019,plain,
% 7.67/5.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s189)) | (~m_main_v_state(s189, c_busy))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12018, 12017])).
% 7.67/5.50 tff(12020,plain,
% 7.67/5.50 (~m_main_v_state(s189, c_busy)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12019, 72, 12013])).
% 7.67/5.50 tff(12021,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12022,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s188, s189)) | node2(s188, s189))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12023,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s188, s189)) | node2(s188, s189)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12022, 12021])).
% 7.67/5.50 tff(12024,plain,
% 7.67/5.50 (node2(s188, s189)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12023, 7, 12008])).
% 7.67/5.50 tff(12025,plain,
% 7.67/5.50 (((~![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(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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12026,plain,
% 7.67/5.50 ((~![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(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12027,plain,
% 7.67/5.50 ((~![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(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12026, 12025])).
% 7.67/5.50 tff(12028,plain,
% 7.67/5.50 ((~m_main_v_state(s188, c_ready)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188))),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12027, 60, 12024])).
% 7.67/5.50 tff(12029,plain,
% 7.67/5.50 (~m_main_v_state(s188, c_ready)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12028, 12020, 11997])).
% 7.67/5.50 tff(12030,plain,
% 7.67/5.50 (~m_main_v_state(s188, c_busy)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[11963, 72, 12001])).
% 7.67/5.50 tff(12031,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12032,plain,
% 7.67/5.50 ((~![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))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12033,plain,
% 7.67/5.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s188, c_busy) | m_main_v_state(s188, c_ready)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 7.67/5.50 tff(12034,plain,
% 7.67/5.50 ($false),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12033, 89, 12030, 12029])).
% 7.67/5.50 tff(12035,plain,(~node4(s188)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.50 tff(12036,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12037,plain,
% 7.67/5.50 ((node4(s188) | (~until5(s188)) | xuntil6(s188)) <=> (xuntil6(s188) | node4(s188) | (~until5(s188)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12038,plain,
% 7.67/5.50 (((~![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))))),
% 7.67/5.50 inference(monotonicity,[status(thm)],[12037])).
% 7.67/5.50 tff(12039,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(transitivity,[status(thm)],[12038, 12036])).
% 7.67/5.50 tff(12040,plain,
% 7.67/5.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s188) | (~until5(s188)) | xuntil6(s188))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12041,plain,
% 7.67/5.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s188) | node4(s188) | (~until5(s188))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12040, 12039])).
% 7.67/5.50 tff(12042,plain,
% 7.67/5.50 (xuntil6(s188) | (~until5(s188))),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12041, 352, 12035])).
% 7.67/5.50 tff(12043,plain,
% 7.67/5.50 (xuntil6(s188)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12042, 11992])).
% 7.67/5.50 tff(12044,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12045,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12046,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12045, 12044])).
% 7.67/5.50 tff(12047,plain,
% 7.67/5.50 ((~xuntil6(s188)) | until5(s189)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12046, 12004, 370])).
% 7.67/5.50 tff(12048,plain,
% 7.67/5.50 (until5(s189)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12047, 12043])).
% 7.67/5.50 tff(12049,assumption,(node4(s189)), introduced(assumption)).
% 7.67/5.50 tff(12050,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12051,plain,
% 7.67/5.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s189) | (~node4(s189)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12052,plain,
% 7.67/5.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s189) | (~node4(s189))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12051, 12050])).
% 7.67/5.50 tff(12053,plain,
% 7.67/5.50 (m_main_v_request(s189)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12052, 28, 12049])).
% 7.67/5.50 tff(12054,plain,
% 7.67/5.50 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s189) | (~node4(s189)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s189) | (~node4(s189)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12055,plain,
% 7.67/5.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s189) | (~node4(s189)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12056,plain,
% 7.67/5.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s189) | (~node4(s189))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12055, 12054])).
% 7.67/5.50 tff(12057,plain,
% 7.67/5.50 (always3(s189)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12056, 16, 12049])).
% 7.67/5.50 tff(12058,plain,
% 7.67/5.50 (succ(s189, s190) <=> succ(s189, s190)),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12059,axiom,(succ(s189, s190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound190')).
% 7.67/5.50 tff(12060,plain,
% 7.67/5.50 (succ(s189, s190)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12059, 12058])).
% 7.67/5.50 tff(12061,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12062,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12063,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12062, 12061])).
% 7.67/5.50 tff(12064,plain,
% 7.67/5.50 (trans(s189, s190)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12063, 12060, 39])).
% 7.67/5.50 tff(12065,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12066,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s189, s190)) | (~always3(s189)) | always3(s190))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12067,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s189, s190)) | (~always3(s189)) | always3(s190)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12066, 12065])).
% 7.67/5.50 tff(12068,plain,
% 7.67/5.50 ((~always3(s189)) | always3(s190)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12067, 112, 12064])).
% 7.67/5.50 tff(12069,plain,
% 7.67/5.50 (always3(s190)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12068, 12057])).
% 7.67/5.50 tff(12070,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12071,plain,
% 7.67/5.50 (((~m_main_v_state(s190, c_busy)) | (~always3(s190))) <=> ((~always3(s190)) | (~m_main_v_state(s190, c_busy)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12072,plain,
% 7.67/5.50 (((~![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))))),
% 7.67/5.50 inference(monotonicity,[status(thm)],[12071])).
% 7.67/5.50 tff(12073,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(transitivity,[status(thm)],[12072, 12070])).
% 7.67/5.50 tff(12074,plain,
% 7.67/5.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s190, c_busy)) | (~always3(s190)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12075,plain,
% 7.67/5.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s190)) | (~m_main_v_state(s190, c_busy))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12074, 12073])).
% 7.67/5.50 tff(12076,plain,
% 7.67/5.50 (~m_main_v_state(s190, c_busy)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12075, 72, 12069])).
% 7.67/5.50 tff(12077,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12078,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s189, s190)) | node2(s189, s190))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12079,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s189, s190)) | node2(s189, s190)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12078, 12077])).
% 7.67/5.50 tff(12080,plain,
% 7.67/5.50 (node2(s189, s190)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12079, 7, 12064])).
% 7.67/5.50 tff(12081,plain,
% 7.67/5.50 (((~![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(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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12082,plain,
% 7.67/5.50 ((~![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(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12083,plain,
% 7.67/5.50 ((~![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(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12082, 12081])).
% 7.67/5.50 tff(12084,plain,
% 7.67/5.50 ((~m_main_v_state(s189, c_ready)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189))),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12083, 60, 12080])).
% 7.67/5.50 tff(12085,plain,
% 7.67/5.50 (~m_main_v_state(s189, c_ready)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12084, 12076, 12053])).
% 7.67/5.50 tff(12086,plain,
% 7.67/5.50 (~m_main_v_state(s189, c_busy)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12019, 72, 12057])).
% 7.67/5.50 tff(12087,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12088,plain,
% 7.67/5.50 ((~![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))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12089,plain,
% 7.67/5.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s189, c_busy) | m_main_v_state(s189, c_ready)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12088, 12087])).
% 7.67/5.50 tff(12090,plain,
% 7.67/5.50 ($false),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12089, 89, 12086, 12085])).
% 7.67/5.50 tff(12091,plain,(~node4(s189)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.50 tff(12092,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12093,plain,
% 7.67/5.50 ((node4(s189) | (~until5(s189)) | xuntil6(s189)) <=> (xuntil6(s189) | node4(s189) | (~until5(s189)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12094,plain,
% 7.67/5.50 (((~![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))))),
% 7.67/5.50 inference(monotonicity,[status(thm)],[12093])).
% 7.67/5.50 tff(12095,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(transitivity,[status(thm)],[12094, 12092])).
% 7.67/5.50 tff(12096,plain,
% 7.67/5.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s189) | (~until5(s189)) | xuntil6(s189))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12097,plain,
% 7.67/5.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s189) | node4(s189) | (~until5(s189))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 7.67/5.50 tff(12098,plain,
% 7.67/5.50 (xuntil6(s189) | (~until5(s189))),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12097, 352, 12091])).
% 7.67/5.50 tff(12099,plain,
% 7.67/5.50 (xuntil6(s189)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12098, 12048])).
% 7.67/5.50 tff(12100,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12101,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12102,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12101, 12100])).
% 7.67/5.50 tff(12103,plain,
% 7.67/5.50 ((~xuntil6(s189)) | until5(s190)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12102, 12060, 370])).
% 7.67/5.50 tff(12104,plain,
% 7.67/5.50 (until5(s190)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12103, 12099])).
% 7.67/5.50 tff(12105,assumption,(node4(s190)), introduced(assumption)).
% 7.67/5.50 tff(12106,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12107,plain,
% 7.67/5.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s190) | (~node4(s190)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12108,plain,
% 7.67/5.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s190) | (~node4(s190))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12107, 12106])).
% 7.67/5.50 tff(12109,plain,
% 7.67/5.50 (m_main_v_request(s190)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12108, 28, 12105])).
% 7.67/5.50 tff(12110,plain,
% 7.67/5.50 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s190) | (~node4(s190)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s190) | (~node4(s190)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12111,plain,
% 7.67/5.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s190) | (~node4(s190)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12112,plain,
% 7.67/5.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s190) | (~node4(s190))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12111, 12110])).
% 7.67/5.50 tff(12113,plain,
% 7.67/5.50 (always3(s190)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12112, 16, 12105])).
% 7.67/5.50 tff(12114,plain,
% 7.67/5.50 (succ(s190, s191) <=> succ(s190, s191)),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12115,axiom,(succ(s190, s191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound191')).
% 7.67/5.50 tff(12116,plain,
% 7.67/5.50 (succ(s190, s191)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12115, 12114])).
% 7.67/5.50 tff(12117,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12118,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12119,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12118, 12117])).
% 7.67/5.50 tff(12120,plain,
% 7.67/5.50 (trans(s190, s191)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12119, 12116, 39])).
% 7.67/5.50 tff(12121,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12122,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s190, s191)) | (~always3(s190)) | always3(s191))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12123,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s190, s191)) | (~always3(s190)) | always3(s191)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12122, 12121])).
% 7.67/5.50 tff(12124,plain,
% 7.67/5.50 ((~always3(s190)) | always3(s191)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12123, 112, 12120])).
% 7.67/5.50 tff(12125,plain,
% 7.67/5.50 (always3(s191)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12124, 12113])).
% 7.67/5.50 tff(12126,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12127,plain,
% 7.67/5.50 (((~m_main_v_state(s191, c_busy)) | (~always3(s191))) <=> ((~always3(s191)) | (~m_main_v_state(s191, c_busy)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12128,plain,
% 7.67/5.50 (((~![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))))),
% 7.67/5.50 inference(monotonicity,[status(thm)],[12127])).
% 7.67/5.50 tff(12129,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(transitivity,[status(thm)],[12128, 12126])).
% 7.67/5.50 tff(12130,plain,
% 7.67/5.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s191, c_busy)) | (~always3(s191)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12131,plain,
% 7.67/5.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s191)) | (~m_main_v_state(s191, c_busy))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12130, 12129])).
% 7.67/5.50 tff(12132,plain,
% 7.67/5.50 (~m_main_v_state(s191, c_busy)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12131, 72, 12125])).
% 7.67/5.50 tff(12133,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12134,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s190, s191)) | node2(s190, s191))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12135,plain,
% 7.67/5.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s190, s191)) | node2(s190, s191)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12134, 12133])).
% 7.67/5.50 tff(12136,plain,
% 7.67/5.50 (node2(s190, s191)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12135, 7, 12120])).
% 7.67/5.50 tff(12137,plain,
% 7.67/5.50 (((~![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(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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12138,plain,
% 7.67/5.50 ((~![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(s190, c_ready)) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190)))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12139,plain,
% 7.67/5.50 ((~![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(s190, c_ready)) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12138, 12137])).
% 7.67/5.50 tff(12140,plain,
% 7.67/5.50 ((~m_main_v_state(s190, c_ready)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190))),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12139, 60, 12136])).
% 7.67/5.50 tff(12141,plain,
% 7.67/5.50 (~m_main_v_state(s190, c_ready)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12140, 12132, 12109])).
% 7.67/5.50 tff(12142,plain,
% 7.67/5.50 (~m_main_v_state(s190, c_busy)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12075, 72, 12113])).
% 7.67/5.50 tff(12143,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12144,plain,
% 7.67/5.50 ((~![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))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12145,plain,
% 7.67/5.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s190, c_busy) | m_main_v_state(s190, c_ready)),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12144, 12143])).
% 7.67/5.50 tff(12146,plain,
% 7.67/5.50 ($false),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12145, 89, 12142, 12141])).
% 7.67/5.50 tff(12147,plain,(~node4(s190)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.50 tff(12148,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12149,plain,
% 7.67/5.50 ((node4(s190) | (~until5(s190)) | xuntil6(s190)) <=> (xuntil6(s190) | node4(s190) | (~until5(s190)))),
% 7.67/5.50 inference(rewrite,[status(thm)],[])).
% 7.67/5.50 tff(12150,plain,
% 7.67/5.50 (((~![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))))),
% 7.67/5.50 inference(monotonicity,[status(thm)],[12149])).
% 7.67/5.50 tff(12151,plain,
% 7.67/5.50 (((~![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)))),
% 7.67/5.50 inference(transitivity,[status(thm)],[12150, 12148])).
% 7.67/5.50 tff(12152,plain,
% 7.67/5.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s190) | (~until5(s190)) | xuntil6(s190))),
% 7.67/5.50 inference(quant_inst,[status(thm)],[])).
% 7.67/5.50 tff(12153,plain,
% 7.67/5.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s190) | node4(s190) | (~until5(s190))),
% 7.67/5.50 inference(modus_ponens,[status(thm)],[12152, 12151])).
% 7.67/5.50 tff(12154,plain,
% 7.67/5.50 (xuntil6(s190) | (~until5(s190))),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12153, 352, 12147])).
% 7.67/5.50 tff(12155,plain,
% 7.67/5.50 (xuntil6(s190)),
% 7.67/5.50 inference(unit_resolution,[status(thm)],[12154, 12104])).
% 7.67/5.50 tff(12156,plain,
% 7.67/5.50 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12157,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12158,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12157, 12156])).
% 7.67/5.51 tff(12159,plain,
% 7.67/5.51 ((~xuntil6(s190)) | until5(s191)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12158, 12116, 370])).
% 7.67/5.51 tff(12160,plain,
% 7.67/5.51 (until5(s191)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12159, 12155])).
% 7.67/5.51 tff(12161,assumption,(node4(s191)), introduced(assumption)).
% 7.67/5.51 tff(12162,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12163,plain,
% 7.67/5.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s191) | (~node4(s191)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12164,plain,
% 7.67/5.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s191) | (~node4(s191))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12163, 12162])).
% 7.67/5.51 tff(12165,plain,
% 7.67/5.51 (m_main_v_request(s191)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12164, 28, 12161])).
% 7.67/5.51 tff(12166,plain,
% 7.67/5.51 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s191) | (~node4(s191)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s191) | (~node4(s191)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12167,plain,
% 7.67/5.51 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s191) | (~node4(s191)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12168,plain,
% 7.67/5.51 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s191) | (~node4(s191))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12167, 12166])).
% 7.67/5.51 tff(12169,plain,
% 7.67/5.51 (always3(s191)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12168, 16, 12161])).
% 7.67/5.51 tff(12170,plain,
% 7.67/5.51 (succ(s191, s192) <=> succ(s191, s192)),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12171,axiom,(succ(s191, s192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound192')).
% 7.67/5.51 tff(12172,plain,
% 7.67/5.51 (succ(s191, s192)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12171, 12170])).
% 7.67/5.51 tff(12173,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12174,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12175,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12174, 12173])).
% 7.67/5.51 tff(12176,plain,
% 7.67/5.51 (trans(s191, s192)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12175, 12172, 39])).
% 7.67/5.51 tff(12177,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12178,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s191, s192)) | (~always3(s191)) | always3(s192))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12179,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s191, s192)) | (~always3(s191)) | always3(s192)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 7.67/5.51 tff(12180,plain,
% 7.67/5.51 ((~always3(s191)) | always3(s192)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12179, 112, 12176])).
% 7.67/5.51 tff(12181,plain,
% 7.67/5.51 (always3(s192)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12180, 12169])).
% 7.67/5.51 tff(12182,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12183,plain,
% 7.67/5.51 (((~m_main_v_state(s192, c_busy)) | (~always3(s192))) <=> ((~always3(s192)) | (~m_main_v_state(s192, c_busy)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12184,plain,
% 7.67/5.51 (((~![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))))),
% 7.67/5.51 inference(monotonicity,[status(thm)],[12183])).
% 7.67/5.51 tff(12185,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(transitivity,[status(thm)],[12184, 12182])).
% 7.67/5.51 tff(12186,plain,
% 7.67/5.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s192, c_busy)) | (~always3(s192)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12187,plain,
% 7.67/5.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s192)) | (~m_main_v_state(s192, c_busy))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12186, 12185])).
% 7.67/5.51 tff(12188,plain,
% 7.67/5.51 (~m_main_v_state(s192, c_busy)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12187, 72, 12181])).
% 7.67/5.51 tff(12189,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12190,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s191, s192)) | node2(s191, s192))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12191,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s191, s192)) | node2(s191, s192)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12190, 12189])).
% 7.67/5.51 tff(12192,plain,
% 7.67/5.51 (node2(s191, s192)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12191, 7, 12176])).
% 7.67/5.51 tff(12193,plain,
% 7.67/5.51 (((~![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(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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12194,plain,
% 7.67/5.51 ((~![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(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12195,plain,
% 7.67/5.51 ((~![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(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 7.67/5.51 tff(12196,plain,
% 7.67/5.51 ((~m_main_v_state(s191, c_ready)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191))),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12195, 60, 12192])).
% 7.67/5.51 tff(12197,plain,
% 7.67/5.51 (~m_main_v_state(s191, c_ready)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12196, 12188, 12165])).
% 7.67/5.51 tff(12198,plain,
% 7.67/5.51 (~m_main_v_state(s191, c_busy)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12131, 72, 12169])).
% 7.67/5.51 tff(12199,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12200,plain,
% 7.67/5.51 ((~![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))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12201,plain,
% 7.67/5.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s191, c_busy) | m_main_v_state(s191, c_ready)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12200, 12199])).
% 7.67/5.51 tff(12202,plain,
% 7.67/5.51 ($false),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12201, 89, 12198, 12197])).
% 7.67/5.51 tff(12203,plain,(~node4(s191)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.51 tff(12204,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12205,plain,
% 7.67/5.51 ((node4(s191) | (~until5(s191)) | xuntil6(s191)) <=> (xuntil6(s191) | node4(s191) | (~until5(s191)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12206,plain,
% 7.67/5.51 (((~![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))))),
% 7.67/5.51 inference(monotonicity,[status(thm)],[12205])).
% 7.67/5.51 tff(12207,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(transitivity,[status(thm)],[12206, 12204])).
% 7.67/5.51 tff(12208,plain,
% 7.67/5.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s191) | (~until5(s191)) | xuntil6(s191))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12209,plain,
% 7.67/5.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s191) | node4(s191) | (~until5(s191))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12208, 12207])).
% 7.67/5.51 tff(12210,plain,
% 7.67/5.51 (xuntil6(s191) | (~until5(s191))),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12209, 352, 12203])).
% 7.67/5.51 tff(12211,plain,
% 7.67/5.51 (xuntil6(s191)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12210, 12160])).
% 7.67/5.51 tff(12212,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12213,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12214,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12213, 12212])).
% 7.67/5.51 tff(12215,plain,
% 7.67/5.51 ((~xuntil6(s191)) | until5(s192)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12214, 12172, 370])).
% 7.67/5.51 tff(12216,plain,
% 7.67/5.51 (until5(s192)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12215, 12211])).
% 7.67/5.51 tff(12217,assumption,(node4(s192)), introduced(assumption)).
% 7.67/5.51 tff(12218,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12219,plain,
% 7.67/5.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s192) | (~node4(s192)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12220,plain,
% 7.67/5.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s192) | (~node4(s192))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12219, 12218])).
% 7.67/5.51 tff(12221,plain,
% 7.67/5.51 (m_main_v_request(s192)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12220, 28, 12217])).
% 7.67/5.51 tff(12222,plain,
% 7.67/5.51 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s192) | (~node4(s192)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s192) | (~node4(s192)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12223,plain,
% 7.67/5.51 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s192) | (~node4(s192)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12224,plain,
% 7.67/5.51 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s192) | (~node4(s192))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12223, 12222])).
% 7.67/5.51 tff(12225,plain,
% 7.67/5.51 (always3(s192)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12224, 16, 12217])).
% 7.67/5.51 tff(12226,plain,
% 7.67/5.51 (succ(s192, s193) <=> succ(s192, s193)),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12227,axiom,(succ(s192, s193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound193')).
% 7.67/5.51 tff(12228,plain,
% 7.67/5.51 (succ(s192, s193)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 7.67/5.51 tff(12229,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12230,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12231,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12230, 12229])).
% 7.67/5.51 tff(12232,plain,
% 7.67/5.51 (trans(s192, s193)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12231, 12228, 39])).
% 7.67/5.51 tff(12233,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12234,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s192, s193)) | (~always3(s192)) | always3(s193))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12235,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s192, s193)) | (~always3(s192)) | always3(s193)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12234, 12233])).
% 7.67/5.51 tff(12236,plain,
% 7.67/5.51 ((~always3(s192)) | always3(s193)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12235, 112, 12232])).
% 7.67/5.51 tff(12237,plain,
% 7.67/5.51 (always3(s193)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12236, 12225])).
% 7.67/5.51 tff(12238,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12239,plain,
% 7.67/5.51 (((~m_main_v_state(s193, c_busy)) | (~always3(s193))) <=> ((~always3(s193)) | (~m_main_v_state(s193, c_busy)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12240,plain,
% 7.67/5.51 (((~![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))))),
% 7.67/5.51 inference(monotonicity,[status(thm)],[12239])).
% 7.67/5.51 tff(12241,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(transitivity,[status(thm)],[12240, 12238])).
% 7.67/5.51 tff(12242,plain,
% 7.67/5.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s193, c_busy)) | (~always3(s193)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12243,plain,
% 7.67/5.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s193)) | (~m_main_v_state(s193, c_busy))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12242, 12241])).
% 7.67/5.51 tff(12244,plain,
% 7.67/5.51 (~m_main_v_state(s193, c_busy)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12243, 72, 12237])).
% 7.67/5.51 tff(12245,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12246,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s192, s193)) | node2(s192, s193))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12247,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s192, s193)) | node2(s192, s193)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12246, 12245])).
% 7.67/5.51 tff(12248,plain,
% 7.67/5.51 (node2(s192, s193)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12247, 7, 12232])).
% 7.67/5.51 tff(12249,plain,
% 7.67/5.51 (((~![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(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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12250,plain,
% 7.67/5.51 ((~![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(s192, c_ready)) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12251,plain,
% 7.67/5.51 ((~![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(s192, c_ready)) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12250, 12249])).
% 7.67/5.51 tff(12252,plain,
% 7.67/5.51 ((~m_main_v_state(s192, c_ready)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192))),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12251, 60, 12248])).
% 7.67/5.51 tff(12253,plain,
% 7.67/5.51 (~m_main_v_state(s192, c_ready)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12252, 12244, 12221])).
% 7.67/5.51 tff(12254,plain,
% 7.67/5.51 (~m_main_v_state(s192, c_busy)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12187, 72, 12225])).
% 7.67/5.51 tff(12255,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12256,plain,
% 7.67/5.51 ((~![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))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12257,plain,
% 7.67/5.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s192, c_busy) | m_main_v_state(s192, c_ready)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12256, 12255])).
% 7.67/5.51 tff(12258,plain,
% 7.67/5.51 ($false),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12257, 89, 12254, 12253])).
% 7.67/5.51 tff(12259,plain,(~node4(s192)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.51 tff(12260,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12261,plain,
% 7.67/5.51 ((node4(s192) | (~until5(s192)) | xuntil6(s192)) <=> (xuntil6(s192) | node4(s192) | (~until5(s192)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12262,plain,
% 7.67/5.51 (((~![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))))),
% 7.67/5.51 inference(monotonicity,[status(thm)],[12261])).
% 7.67/5.51 tff(12263,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(transitivity,[status(thm)],[12262, 12260])).
% 7.67/5.51 tff(12264,plain,
% 7.67/5.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s192) | (~until5(s192)) | xuntil6(s192))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12265,plain,
% 7.67/5.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s192) | node4(s192) | (~until5(s192))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12264, 12263])).
% 7.67/5.51 tff(12266,plain,
% 7.67/5.51 (xuntil6(s192) | (~until5(s192))),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12265, 352, 12259])).
% 7.67/5.51 tff(12267,plain,
% 7.67/5.51 (xuntil6(s192)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12266, 12216])).
% 7.67/5.51 tff(12268,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12269,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12270,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12269, 12268])).
% 7.67/5.51 tff(12271,plain,
% 7.67/5.51 ((~xuntil6(s192)) | until5(s193)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12270, 12228, 370])).
% 7.67/5.51 tff(12272,plain,
% 7.67/5.51 (until5(s193)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12271, 12267])).
% 7.67/5.51 tff(12273,assumption,(node4(s193)), introduced(assumption)).
% 7.67/5.51 tff(12274,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12275,plain,
% 7.67/5.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s193) | (~node4(s193)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12276,plain,
% 7.67/5.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s193) | (~node4(s193))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12275, 12274])).
% 7.67/5.51 tff(12277,plain,
% 7.67/5.51 (m_main_v_request(s193)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12276, 28, 12273])).
% 7.67/5.51 tff(12278,plain,
% 7.67/5.51 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s193) | (~node4(s193)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s193) | (~node4(s193)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12279,plain,
% 7.67/5.51 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s193) | (~node4(s193)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12280,plain,
% 7.67/5.51 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s193) | (~node4(s193))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12279, 12278])).
% 7.67/5.51 tff(12281,plain,
% 7.67/5.51 (always3(s193)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12280, 16, 12273])).
% 7.67/5.51 tff(12282,plain,
% 7.67/5.51 (succ(s193, s194) <=> succ(s193, s194)),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12283,axiom,(succ(s193, s194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound194')).
% 7.67/5.51 tff(12284,plain,
% 7.67/5.51 (succ(s193, s194)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12283, 12282])).
% 7.67/5.51 tff(12285,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12286,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12287,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12286, 12285])).
% 7.67/5.51 tff(12288,plain,
% 7.67/5.51 (trans(s193, s194)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12287, 12284, 39])).
% 7.67/5.51 tff(12289,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12290,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s193, s194)) | (~always3(s193)) | always3(s194))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12291,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s193, s194)) | (~always3(s193)) | always3(s194)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12290, 12289])).
% 7.67/5.51 tff(12292,plain,
% 7.67/5.51 ((~always3(s193)) | always3(s194)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12291, 112, 12288])).
% 7.67/5.51 tff(12293,plain,
% 7.67/5.51 (always3(s194)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12292, 12281])).
% 7.67/5.51 tff(12294,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12295,plain,
% 7.67/5.51 (((~m_main_v_state(s194, c_busy)) | (~always3(s194))) <=> ((~always3(s194)) | (~m_main_v_state(s194, c_busy)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12296,plain,
% 7.67/5.51 (((~![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))))),
% 7.67/5.51 inference(monotonicity,[status(thm)],[12295])).
% 7.67/5.51 tff(12297,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(transitivity,[status(thm)],[12296, 12294])).
% 7.67/5.51 tff(12298,plain,
% 7.67/5.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s194, c_busy)) | (~always3(s194)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12299,plain,
% 7.67/5.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s194)) | (~m_main_v_state(s194, c_busy))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12298, 12297])).
% 7.67/5.51 tff(12300,plain,
% 7.67/5.51 (~m_main_v_state(s194, c_busy)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12299, 72, 12293])).
% 7.67/5.51 tff(12301,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12302,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s193, s194)) | node2(s193, s194))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12303,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s193, s194)) | node2(s193, s194)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12302, 12301])).
% 7.67/5.51 tff(12304,plain,
% 7.67/5.51 (node2(s193, s194)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12303, 7, 12288])).
% 7.67/5.51 tff(12305,plain,
% 7.67/5.51 (((~![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(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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12306,plain,
% 7.67/5.51 ((~![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(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193)))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12307,plain,
% 7.67/5.51 ((~![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(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12306, 12305])).
% 7.67/5.51 tff(12308,plain,
% 7.67/5.51 ((~m_main_v_state(s193, c_ready)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193))),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12307, 60, 12304])).
% 7.67/5.51 tff(12309,plain,
% 7.67/5.51 (~m_main_v_state(s193, c_ready)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12308, 12300, 12277])).
% 7.67/5.51 tff(12310,plain,
% 7.67/5.51 (~m_main_v_state(s193, c_busy)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12243, 72, 12281])).
% 7.67/5.51 tff(12311,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12312,plain,
% 7.67/5.51 ((~![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))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12313,plain,
% 7.67/5.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s193, c_busy) | m_main_v_state(s193, c_ready)),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12312, 12311])).
% 7.67/5.51 tff(12314,plain,
% 7.67/5.51 ($false),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12313, 89, 12310, 12309])).
% 7.67/5.51 tff(12315,plain,(~node4(s193)), inference(lemma,lemma(discharge,[]))).
% 7.67/5.51 tff(12316,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12317,plain,
% 7.67/5.51 ((node4(s193) | (~until5(s193)) | xuntil6(s193)) <=> (xuntil6(s193) | node4(s193) | (~until5(s193)))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12318,plain,
% 7.67/5.51 (((~![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))))),
% 7.67/5.51 inference(monotonicity,[status(thm)],[12317])).
% 7.67/5.51 tff(12319,plain,
% 7.67/5.51 (((~![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)))),
% 7.67/5.51 inference(transitivity,[status(thm)],[12318, 12316])).
% 7.67/5.51 tff(12320,plain,
% 7.67/5.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s193) | (~until5(s193)) | xuntil6(s193))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.67/5.51 tff(12321,plain,
% 7.67/5.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s193) | node4(s193) | (~until5(s193))),
% 7.67/5.51 inference(modus_ponens,[status(thm)],[12320, 12319])).
% 7.67/5.51 tff(12322,plain,
% 7.67/5.51 (xuntil6(s193) | (~until5(s193))),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12321, 352, 12315])).
% 7.67/5.51 tff(12323,plain,
% 7.67/5.51 (xuntil6(s193)),
% 7.67/5.51 inference(unit_resolution,[status(thm)],[12322, 12272])).
% 7.67/5.51 tff(12324,plain,
% 7.67/5.51 (((~![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))),
% 7.67/5.51 inference(rewrite,[status(thm)],[])).
% 7.67/5.51 tff(12325,plain,
% 7.67/5.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194))),
% 7.67/5.51 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12326,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12325, 12324])).
% 7.74/5.52 tff(12327,plain,
% 7.74/5.52 ((~xuntil6(s193)) | until5(s194)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12326, 12284, 370])).
% 7.74/5.52 tff(12328,plain,
% 7.74/5.52 (until5(s194)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12327, 12323])).
% 7.74/5.52 tff(12329,assumption,(node4(s194)), introduced(assumption)).
% 7.74/5.52 tff(12330,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12331,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s194) | (~node4(s194)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12332,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s194) | (~node4(s194))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12331, 12330])).
% 7.74/5.52 tff(12333,plain,
% 7.74/5.52 (m_main_v_request(s194)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12332, 28, 12329])).
% 7.74/5.52 tff(12334,plain,
% 7.74/5.52 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s194) | (~node4(s194)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s194) | (~node4(s194)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12335,plain,
% 7.74/5.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s194) | (~node4(s194)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12336,plain,
% 7.74/5.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s194) | (~node4(s194))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12335, 12334])).
% 7.74/5.52 tff(12337,plain,
% 7.74/5.52 (always3(s194)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12336, 16, 12329])).
% 7.74/5.52 tff(12338,plain,
% 7.74/5.52 (succ(s194, s195) <=> succ(s194, s195)),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12339,axiom,(succ(s194, s195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound195')).
% 7.74/5.52 tff(12340,plain,
% 7.74/5.52 (succ(s194, s195)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12339, 12338])).
% 7.74/5.52 tff(12341,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12342,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12343,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12342, 12341])).
% 7.74/5.52 tff(12344,plain,
% 7.74/5.52 (trans(s194, s195)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12343, 12340, 39])).
% 7.74/5.52 tff(12345,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12346,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s194, s195)) | (~always3(s194)) | always3(s195))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12347,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s194, s195)) | (~always3(s194)) | always3(s195)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12346, 12345])).
% 7.74/5.52 tff(12348,plain,
% 7.74/5.52 ((~always3(s194)) | always3(s195)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12347, 112, 12344])).
% 7.74/5.52 tff(12349,plain,
% 7.74/5.52 (always3(s195)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12348, 12337])).
% 7.74/5.52 tff(12350,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12351,plain,
% 7.74/5.52 (((~m_main_v_state(s195, c_busy)) | (~always3(s195))) <=> ((~always3(s195)) | (~m_main_v_state(s195, c_busy)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12352,plain,
% 7.74/5.52 (((~![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))))),
% 7.74/5.52 inference(monotonicity,[status(thm)],[12351])).
% 7.74/5.52 tff(12353,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(transitivity,[status(thm)],[12352, 12350])).
% 7.74/5.52 tff(12354,plain,
% 7.74/5.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s195, c_busy)) | (~always3(s195)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12355,plain,
% 7.74/5.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s195)) | (~m_main_v_state(s195, c_busy))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12354, 12353])).
% 7.74/5.52 tff(12356,plain,
% 7.74/5.52 (~m_main_v_state(s195, c_busy)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12355, 72, 12349])).
% 7.74/5.52 tff(12357,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12358,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s194, s195)) | node2(s194, s195))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12359,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s194, s195)) | node2(s194, s195)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12358, 12357])).
% 7.74/5.52 tff(12360,plain,
% 7.74/5.52 (node2(s194, s195)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12359, 7, 12344])).
% 7.74/5.52 tff(12361,plain,
% 7.74/5.52 (((~![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(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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12362,plain,
% 7.74/5.52 ((~![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(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12363,plain,
% 7.74/5.52 ((~![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(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12362, 12361])).
% 7.74/5.52 tff(12364,plain,
% 7.74/5.52 ((~m_main_v_state(s194, c_ready)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194))),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12363, 60, 12360])).
% 7.74/5.52 tff(12365,plain,
% 7.74/5.52 (~m_main_v_state(s194, c_ready)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12364, 12356, 12333])).
% 7.74/5.52 tff(12366,plain,
% 7.74/5.52 (~m_main_v_state(s194, c_busy)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12299, 72, 12337])).
% 7.74/5.52 tff(12367,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12368,plain,
% 7.74/5.52 ((~![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))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12369,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s194, c_busy) | m_main_v_state(s194, c_ready)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12368, 12367])).
% 7.74/5.52 tff(12370,plain,
% 7.74/5.52 ($false),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12369, 89, 12366, 12365])).
% 7.74/5.52 tff(12371,plain,(~node4(s194)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.52 tff(12372,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12373,plain,
% 7.74/5.52 ((node4(s194) | (~until5(s194)) | xuntil6(s194)) <=> (xuntil6(s194) | node4(s194) | (~until5(s194)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12374,plain,
% 7.74/5.52 (((~![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))))),
% 7.74/5.52 inference(monotonicity,[status(thm)],[12373])).
% 7.74/5.52 tff(12375,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(transitivity,[status(thm)],[12374, 12372])).
% 7.74/5.52 tff(12376,plain,
% 7.74/5.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s194) | (~until5(s194)) | xuntil6(s194))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12377,plain,
% 7.74/5.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s194) | node4(s194) | (~until5(s194))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12376, 12375])).
% 7.74/5.52 tff(12378,plain,
% 7.74/5.52 (xuntil6(s194) | (~until5(s194))),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12377, 352, 12371])).
% 7.74/5.52 tff(12379,plain,
% 7.74/5.52 (xuntil6(s194)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12378, 12328])).
% 7.74/5.52 tff(12380,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12381,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12382,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 7.74/5.52 tff(12383,plain,
% 7.74/5.52 ((~xuntil6(s194)) | until5(s195)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12382, 12340, 370])).
% 7.74/5.52 tff(12384,plain,
% 7.74/5.52 (until5(s195)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12383, 12379])).
% 7.74/5.52 tff(12385,assumption,(node4(s195)), introduced(assumption)).
% 7.74/5.52 tff(12386,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12387,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s195) | (~node4(s195)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12388,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s195) | (~node4(s195))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12387, 12386])).
% 7.74/5.52 tff(12389,plain,
% 7.74/5.52 (m_main_v_request(s195)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12388, 28, 12385])).
% 7.74/5.52 tff(12390,plain,
% 7.74/5.52 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s195) | (~node4(s195)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s195) | (~node4(s195)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12391,plain,
% 7.74/5.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s195) | (~node4(s195)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12392,plain,
% 7.74/5.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s195) | (~node4(s195))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12391, 12390])).
% 7.74/5.52 tff(12393,plain,
% 7.74/5.52 (always3(s195)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12392, 16, 12385])).
% 7.74/5.52 tff(12394,plain,
% 7.74/5.52 (succ(s195, s196) <=> succ(s195, s196)),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12395,axiom,(succ(s195, s196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound196')).
% 7.74/5.52 tff(12396,plain,
% 7.74/5.52 (succ(s195, s196)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12395, 12394])).
% 7.74/5.52 tff(12397,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12398,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12399,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12398, 12397])).
% 7.74/5.52 tff(12400,plain,
% 7.74/5.52 (trans(s195, s196)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12399, 12396, 39])).
% 7.74/5.52 tff(12401,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12402,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s195, s196)) | (~always3(s195)) | always3(s196))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12403,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s195, s196)) | (~always3(s195)) | always3(s196)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 7.74/5.52 tff(12404,plain,
% 7.74/5.52 ((~always3(s195)) | always3(s196)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12403, 112, 12400])).
% 7.74/5.52 tff(12405,plain,
% 7.74/5.52 (always3(s196)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12404, 12393])).
% 7.74/5.52 tff(12406,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12407,plain,
% 7.74/5.52 (((~m_main_v_state(s196, c_busy)) | (~always3(s196))) <=> ((~always3(s196)) | (~m_main_v_state(s196, c_busy)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12408,plain,
% 7.74/5.52 (((~![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))))),
% 7.74/5.52 inference(monotonicity,[status(thm)],[12407])).
% 7.74/5.52 tff(12409,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(transitivity,[status(thm)],[12408, 12406])).
% 7.74/5.52 tff(12410,plain,
% 7.74/5.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s196, c_busy)) | (~always3(s196)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12411,plain,
% 7.74/5.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s196)) | (~m_main_v_state(s196, c_busy))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12410, 12409])).
% 7.74/5.52 tff(12412,plain,
% 7.74/5.52 (~m_main_v_state(s196, c_busy)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12411, 72, 12405])).
% 7.74/5.52 tff(12413,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12414,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s195, s196)) | node2(s195, s196))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12415,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s195, s196)) | node2(s195, s196)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12414, 12413])).
% 7.74/5.52 tff(12416,plain,
% 7.74/5.52 (node2(s195, s196)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12415, 7, 12400])).
% 7.74/5.52 tff(12417,plain,
% 7.74/5.52 (((~![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(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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12418,plain,
% 7.74/5.52 ((~![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(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12419,plain,
% 7.74/5.52 ((~![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(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12418, 12417])).
% 7.74/5.52 tff(12420,plain,
% 7.74/5.52 ((~m_main_v_state(s195, c_ready)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195))),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12419, 60, 12416])).
% 7.74/5.52 tff(12421,plain,
% 7.74/5.52 (~m_main_v_state(s195, c_ready)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12420, 12412, 12389])).
% 7.74/5.52 tff(12422,plain,
% 7.74/5.52 (~m_main_v_state(s195, c_busy)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12355, 72, 12393])).
% 7.74/5.52 tff(12423,plain,
% 7.74/5.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s195, c_busy) | m_main_v_state(s195, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s195, c_busy) | m_main_v_state(s195, c_ready))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12424,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s195, c_busy) | m_main_v_state(s195, c_ready))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12425,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s195, c_busy) | m_main_v_state(s195, c_ready)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12424, 12423])).
% 7.74/5.52 tff(12426,plain,
% 7.74/5.52 ($false),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12425, 89, 12422, 12421])).
% 7.74/5.52 tff(12427,plain,(~node4(s195)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.52 tff(12428,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12429,plain,
% 7.74/5.52 ((node4(s195) | (~until5(s195)) | xuntil6(s195)) <=> (xuntil6(s195) | node4(s195) | (~until5(s195)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12430,plain,
% 7.74/5.52 (((~![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))))),
% 7.74/5.52 inference(monotonicity,[status(thm)],[12429])).
% 7.74/5.52 tff(12431,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(transitivity,[status(thm)],[12430, 12428])).
% 7.74/5.52 tff(12432,plain,
% 7.74/5.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s195) | (~until5(s195)) | xuntil6(s195))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12433,plain,
% 7.74/5.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s195) | node4(s195) | (~until5(s195))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12432, 12431])).
% 7.74/5.52 tff(12434,plain,
% 7.74/5.52 (xuntil6(s195) | (~until5(s195))),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12433, 352, 12427])).
% 7.74/5.52 tff(12435,plain,
% 7.74/5.52 (xuntil6(s195)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12434, 12384])).
% 7.74/5.52 tff(12436,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12437,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12438,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12437, 12436])).
% 7.74/5.52 tff(12439,plain,
% 7.74/5.52 ((~xuntil6(s195)) | until5(s196)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12438, 12396, 370])).
% 7.74/5.52 tff(12440,plain,
% 7.74/5.52 (until5(s196)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12439, 12435])).
% 7.74/5.52 tff(12441,assumption,(node4(s199)), introduced(assumption)).
% 7.74/5.52 tff(12442,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12443,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s199) | (~node4(s199)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12444,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s199) | (~node4(s199))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12443, 12442])).
% 7.74/5.52 tff(12445,plain,
% 7.74/5.52 (m_main_v_request(s199)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12444, 28, 12441])).
% 7.74/5.52 tff(12446,plain,
% 7.74/5.52 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s199) | (~node4(s199)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s199) | (~node4(s199)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12447,plain,
% 7.74/5.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s199) | (~node4(s199)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12448,plain,
% 7.74/5.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s199) | (~node4(s199))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12447, 12446])).
% 7.74/5.52 tff(12449,plain,
% 7.74/5.52 (always3(s199)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12448, 16, 12441])).
% 7.74/5.52 tff(12450,plain,
% 7.74/5.52 (succ(s199, s200) <=> succ(s199, s200)),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12451,axiom,(succ(s199, s200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound200')).
% 7.74/5.52 tff(12452,plain,
% 7.74/5.52 (succ(s199, s200)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12451, 12450])).
% 7.74/5.52 tff(12453,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12454,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s199, s200)) | trans(s199, s200))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12455,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s199, s200)) | trans(s199, s200)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12454, 12453])).
% 7.74/5.52 tff(12456,plain,
% 7.74/5.52 (trans(s199, s200)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12455, 12452, 39])).
% 7.74/5.52 tff(12457,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12458,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s200)) | (~always3(s199)) | always3(s200))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12459,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s199, s200)) | (~always3(s199)) | always3(s200)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 7.74/5.52 tff(12460,plain,
% 7.74/5.52 ((~always3(s199)) | always3(s200)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12459, 112, 12456])).
% 7.74/5.52 tff(12461,plain,
% 7.74/5.52 (always3(s200)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12460, 12449])).
% 7.74/5.52 tff(12462,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12463,plain,
% 7.74/5.52 (((~m_main_v_state(s200, c_busy)) | (~always3(s200))) <=> ((~always3(s200)) | (~m_main_v_state(s200, c_busy)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12464,plain,
% 7.74/5.52 (((~![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))))),
% 7.74/5.52 inference(monotonicity,[status(thm)],[12463])).
% 7.74/5.52 tff(12465,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(transitivity,[status(thm)],[12464, 12462])).
% 7.74/5.52 tff(12466,plain,
% 7.74/5.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s200, c_busy)) | (~always3(s200)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12467,plain,
% 7.74/5.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s200)) | (~m_main_v_state(s200, c_busy))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12466, 12465])).
% 7.74/5.52 tff(12468,plain,
% 7.74/5.52 (~m_main_v_state(s200, c_busy)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12467, 72, 12461])).
% 7.74/5.52 tff(12469,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12470,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s200)) | node2(s199, s200))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12471,plain,
% 7.74/5.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s200)) | node2(s199, s200)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12470, 12469])).
% 7.74/5.52 tff(12472,plain,
% 7.74/5.52 (node2(s199, s200)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12471, 7, 12456])).
% 7.74/5.52 tff(12473,plain,
% 7.74/5.52 (((~![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(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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12474,plain,
% 7.74/5.52 ((~![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(s199, c_ready)) | (~node2(s199, s200)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12475,plain,
% 7.74/5.52 ((~![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(s199, c_ready)) | (~node2(s199, s200)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12474, 12473])).
% 7.74/5.52 tff(12476,plain,
% 7.74/5.52 ((~m_main_v_state(s199, c_ready)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199))),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12475, 60, 12472])).
% 7.74/5.52 tff(12477,plain,
% 7.74/5.52 (~m_main_v_state(s199, c_ready)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12476, 12468, 12445])).
% 7.74/5.52 tff(12478,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12479,plain,
% 7.74/5.52 (((~m_main_v_state(s199, c_busy)) | (~always3(s199))) <=> ((~always3(s199)) | (~m_main_v_state(s199, c_busy)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12480,plain,
% 7.74/5.52 (((~![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))))),
% 7.74/5.52 inference(monotonicity,[status(thm)],[12479])).
% 7.74/5.52 tff(12481,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(transitivity,[status(thm)],[12480, 12478])).
% 7.74/5.52 tff(12482,plain,
% 7.74/5.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s199, c_busy)) | (~always3(s199)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12483,plain,
% 7.74/5.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s199)) | (~m_main_v_state(s199, c_busy))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12482, 12481])).
% 7.74/5.52 tff(12484,plain,
% 7.74/5.52 (~m_main_v_state(s199, c_busy)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12483, 72, 12449])).
% 7.74/5.52 tff(12485,plain,
% 7.74/5.52 (((~![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))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12486,plain,
% 7.74/5.52 ((~![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))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12487,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s199, c_busy) | m_main_v_state(s199, c_ready)),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12486, 12485])).
% 7.74/5.52 tff(12488,plain,
% 7.74/5.52 ($false),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12487, 89, 12484, 12477])).
% 7.74/5.52 tff(12489,plain,(~node4(s199)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.52 tff(12490,assumption,(node4(s201)), introduced(assumption)).
% 7.74/5.52 tff(12491,plain,
% 7.74/5.52 (((~![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)))),
% 7.74/5.52 inference(rewrite,[status(thm)],[])).
% 7.74/5.52 tff(12492,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s201) | (~node4(s201)))),
% 7.74/5.52 inference(quant_inst,[status(thm)],[])).
% 7.74/5.52 tff(12493,plain,
% 7.74/5.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s201) | (~node4(s201))),
% 7.74/5.52 inference(modus_ponens,[status(thm)],[12492, 12491])).
% 7.74/5.52 tff(12494,plain,
% 7.74/5.52 (m_main_v_request(s201)),
% 7.74/5.52 inference(unit_resolution,[status(thm)],[12493, 28, 12490])).
% 7.74/5.52 tff(12495,plain,
% 7.74/5.52 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s201) | (~node4(s201)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s201) | (~node4(s201)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12496,plain,
% 7.74/5.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s201) | (~node4(s201)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12497,plain,
% 7.74/5.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s201) | (~node4(s201))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12496, 12495])).
% 7.74/5.53 tff(12498,plain,
% 7.74/5.53 (always3(s201)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12497, 16, 12490])).
% 7.74/5.53 tff(12499,plain,
% 7.74/5.53 (succ(s201, s202) <=> succ(s201, s202)),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12500,axiom,(succ(s201, s202)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound202')).
% 7.74/5.53 tff(12501,plain,
% 7.74/5.53 (succ(s201, s202)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12500, 12499])).
% 7.74/5.53 tff(12502,plain,
% 7.74/5.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s201, s202)) | trans(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12503,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s201, s202)) | trans(s201, s202))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12504,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12503, 12502])).
% 7.74/5.53 tff(12505,plain,
% 7.74/5.53 (trans(s201, s202)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12504, 12501, 39])).
% 7.74/5.53 tff(12506,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12507,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s201, s202)) | (~always3(s201)) | always3(s202))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12508,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s201, s202)) | (~always3(s201)) | always3(s202)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12507, 12506])).
% 7.74/5.53 tff(12509,plain,
% 7.74/5.53 ((~always3(s201)) | always3(s202)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12508, 112, 12505])).
% 7.74/5.53 tff(12510,plain,
% 7.74/5.53 (always3(s202)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12509, 12498])).
% 7.74/5.53 tff(12511,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12512,plain,
% 7.74/5.53 (((~m_main_v_state(s202, c_busy)) | (~always3(s202))) <=> ((~always3(s202)) | (~m_main_v_state(s202, c_busy)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12513,plain,
% 7.74/5.53 (((~![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))))),
% 7.74/5.53 inference(monotonicity,[status(thm)],[12512])).
% 7.74/5.53 tff(12514,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(transitivity,[status(thm)],[12513, 12511])).
% 7.74/5.53 tff(12515,plain,
% 7.74/5.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s202, c_busy)) | (~always3(s202)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12516,plain,
% 7.74/5.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s202)) | (~m_main_v_state(s202, c_busy))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12515, 12514])).
% 7.74/5.53 tff(12517,plain,
% 7.74/5.53 (~m_main_v_state(s202, c_busy)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12516, 72, 12510])).
% 7.74/5.53 tff(12518,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12519,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s201, s202)) | node2(s201, s202))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12520,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s201, s202)) | node2(s201, s202)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12519, 12518])).
% 7.74/5.53 tff(12521,plain,
% 7.74/5.53 (node2(s201, s202)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12520, 7, 12505])).
% 7.74/5.53 tff(12522,plain,
% 7.74/5.53 (((~![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(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)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12523,plain,
% 7.74/5.53 ((~![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(s201, c_ready)) | (~node2(s201, s202)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12524,plain,
% 7.74/5.53 ((~![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(s201, c_ready)) | (~node2(s201, s202)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12523, 12522])).
% 7.74/5.53 tff(12525,plain,
% 7.74/5.53 ((~m_main_v_state(s201, c_ready)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201))),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12524, 60, 12521])).
% 7.74/5.53 tff(12526,plain,
% 7.74/5.53 (~m_main_v_state(s201, c_ready)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12525, 12517, 12494])).
% 7.74/5.53 tff(12527,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12528,plain,
% 7.74/5.53 (((~m_main_v_state(s201, c_busy)) | (~always3(s201))) <=> ((~always3(s201)) | (~m_main_v_state(s201, c_busy)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12529,plain,
% 7.74/5.53 (((~![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))))),
% 7.74/5.53 inference(monotonicity,[status(thm)],[12528])).
% 7.74/5.53 tff(12530,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(transitivity,[status(thm)],[12529, 12527])).
% 7.74/5.53 tff(12531,plain,
% 7.74/5.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s201, c_busy)) | (~always3(s201)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12532,plain,
% 7.74/5.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s201)) | (~m_main_v_state(s201, c_busy))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12531, 12530])).
% 7.74/5.53 tff(12533,plain,
% 7.74/5.53 (~m_main_v_state(s201, c_busy)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12532, 72, 12498])).
% 7.74/5.53 tff(12534,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12535,plain,
% 7.74/5.53 ((~![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))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12536,plain,
% 7.74/5.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s201, c_busy) | m_main_v_state(s201, c_ready)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12535, 12534])).
% 7.74/5.53 tff(12537,plain,
% 7.74/5.53 ($false),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12536, 89, 12533, 12526])).
% 7.74/5.53 tff(12538,plain,(~node4(s201)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.53 tff(12539,assumption,(node4(s200)), introduced(assumption)).
% 7.74/5.53 tff(12540,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12541,plain,
% 7.74/5.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s200) | (~node4(s200)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12542,plain,
% 7.74/5.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s200) | (~node4(s200))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12541, 12540])).
% 7.74/5.53 tff(12543,plain,
% 7.74/5.53 (m_main_v_request(s200)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12542, 28, 12539])).
% 7.74/5.53 tff(12544,plain,
% 7.74/5.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s200) | (~node4(s200)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s200) | (~node4(s200)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12545,plain,
% 7.74/5.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s200) | (~node4(s200)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12546,plain,
% 7.74/5.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s200) | (~node4(s200))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12545, 12544])).
% 7.74/5.53 tff(12547,plain,
% 7.74/5.53 (always3(s200)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12546, 16, 12539])).
% 7.74/5.53 tff(12548,plain,
% 7.74/5.53 (succ(s200, s201) <=> succ(s200, s201)),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12549,axiom,(succ(s200, s201)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound201')).
% 7.74/5.53 tff(12550,plain,
% 7.74/5.53 (succ(s200, s201)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12549, 12548])).
% 7.74/5.53 tff(12551,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12552,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s200, s201)) | trans(s200, s201))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12553,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s200, s201)) | trans(s200, s201)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12552, 12551])).
% 7.74/5.53 tff(12554,plain,
% 7.74/5.53 (trans(s200, s201)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12553, 12550, 39])).
% 7.74/5.53 tff(12555,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12556,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s200, s201)) | (~always3(s200)) | always3(s201))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12557,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s200, s201)) | (~always3(s200)) | always3(s201)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12556, 12555])).
% 7.74/5.53 tff(12558,plain,
% 7.74/5.53 ((~always3(s200)) | always3(s201)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12557, 112, 12554])).
% 7.74/5.53 tff(12559,plain,
% 7.74/5.53 (always3(s201)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12558, 12547])).
% 7.74/5.53 tff(12560,plain,
% 7.74/5.53 (~m_main_v_state(s201, c_busy)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12532, 72, 12559])).
% 7.74/5.53 tff(12561,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12562,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s200, s201)) | node2(s200, s201))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12563,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s200, s201)) | node2(s200, s201)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12562, 12561])).
% 7.74/5.53 tff(12564,plain,
% 7.74/5.53 (node2(s200, s201)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12563, 7, 12554])).
% 7.74/5.53 tff(12565,plain,
% 7.74/5.53 (((~![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(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)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12566,plain,
% 7.74/5.53 ((~![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(s200, c_ready)) | (~node2(s200, s201)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12567,plain,
% 7.74/5.53 ((~![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(s200, c_ready)) | (~node2(s200, s201)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12566, 12565])).
% 7.74/5.53 tff(12568,plain,
% 7.74/5.53 ((~m_main_v_state(s200, c_ready)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200))),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12567, 60, 12564])).
% 7.74/5.53 tff(12569,plain,
% 7.74/5.53 (~m_main_v_state(s200, c_ready)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12568, 12560, 12543])).
% 7.74/5.53 tff(12570,plain,
% 7.74/5.53 (~m_main_v_state(s200, c_busy)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12467, 72, 12547])).
% 7.74/5.53 tff(12571,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12572,plain,
% 7.74/5.53 ((~![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))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12573,plain,
% 7.74/5.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s200, c_busy) | m_main_v_state(s200, c_ready)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12572, 12571])).
% 7.74/5.53 tff(12574,plain,
% 7.74/5.53 ($false),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12573, 89, 12570, 12569])).
% 7.74/5.53 tff(12575,plain,(~node4(s200)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.53 tff(12576,assumption,(node4(s197)), introduced(assumption)).
% 7.74/5.53 tff(12577,assumption,(m_main_v_request(s197)), introduced(assumption)).
% 7.74/5.53 tff(12578,plain,
% 7.74/5.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s197) | (~node4(s197)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s197) | (~node4(s197)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12579,plain,
% 7.74/5.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s197) | (~node4(s197)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12580,plain,
% 7.74/5.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s197) | (~node4(s197))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12579, 12578])).
% 7.74/5.53 tff(12581,plain,
% 7.74/5.53 (always3(s197)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12580, 16, 12576])).
% 7.74/5.53 tff(12582,plain,
% 7.74/5.53 (succ(s197, s198) <=> succ(s197, s198)),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12583,axiom,(succ(s197, s198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound198')).
% 7.74/5.53 tff(12584,plain,
% 7.74/5.53 (succ(s197, s198)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12583, 12582])).
% 7.74/5.53 tff(12585,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12586,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12587,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12586, 12585])).
% 7.74/5.53 tff(12588,plain,
% 7.74/5.53 (trans(s197, s198)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12587, 12584, 39])).
% 7.74/5.53 tff(12589,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12590,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s197, s198)) | (~always3(s197)) | always3(s198))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12591,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s197, s198)) | (~always3(s197)) | always3(s198)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12590, 12589])).
% 7.74/5.53 tff(12592,plain,
% 7.74/5.53 ((~always3(s197)) | always3(s198)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12591, 112, 12588])).
% 7.74/5.53 tff(12593,plain,
% 7.74/5.53 (always3(s198)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12592, 12581])).
% 7.74/5.53 tff(12594,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12595,plain,
% 7.74/5.53 (((~m_main_v_state(s198, c_busy)) | (~always3(s198))) <=> ((~always3(s198)) | (~m_main_v_state(s198, c_busy)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12596,plain,
% 7.74/5.53 (((~![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))))),
% 7.74/5.53 inference(monotonicity,[status(thm)],[12595])).
% 7.74/5.53 tff(12597,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(transitivity,[status(thm)],[12596, 12594])).
% 7.74/5.53 tff(12598,plain,
% 7.74/5.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s198, c_busy)) | (~always3(s198)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12599,plain,
% 7.74/5.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s198)) | (~m_main_v_state(s198, c_busy))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12598, 12597])).
% 7.74/5.53 tff(12600,plain,
% 7.74/5.53 (~m_main_v_state(s198, c_busy)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12599, 72, 12593])).
% 7.74/5.53 tff(12601,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12602,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s197, s198)) | node2(s197, s198))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12603,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s197, s198)) | node2(s197, s198)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12602, 12601])).
% 7.74/5.53 tff(12604,plain,
% 7.74/5.53 (node2(s197, s198)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12603, 7, 12588])).
% 7.74/5.53 tff(12605,plain,
% 7.74/5.53 (((~![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(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)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12606,plain,
% 7.74/5.53 ((~![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(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12607,plain,
% 7.74/5.53 ((~![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(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12606, 12605])).
% 7.74/5.53 tff(12608,plain,
% 7.74/5.53 ((~m_main_v_state(s197, c_ready)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197))),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12607, 60, 12604])).
% 7.74/5.53 tff(12609,plain,
% 7.74/5.53 (~m_main_v_state(s197, c_ready)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12608, 12600, 12577])).
% 7.74/5.53 tff(12610,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12611,plain,
% 7.74/5.53 (((~m_main_v_state(s197, c_busy)) | (~always3(s197))) <=> ((~always3(s197)) | (~m_main_v_state(s197, c_busy)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12612,plain,
% 7.74/5.53 (((~![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))))),
% 7.74/5.53 inference(monotonicity,[status(thm)],[12611])).
% 7.74/5.53 tff(12613,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(transitivity,[status(thm)],[12612, 12610])).
% 7.74/5.53 tff(12614,plain,
% 7.74/5.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s197, c_busy)) | (~always3(s197)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12615,plain,
% 7.74/5.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s197)) | (~m_main_v_state(s197, c_busy))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12614, 12613])).
% 7.74/5.53 tff(12616,plain,
% 7.74/5.53 (~m_main_v_state(s197, c_busy)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12615, 72, 12581])).
% 7.74/5.53 tff(12617,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12618,plain,
% 7.74/5.53 ((~![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))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12619,plain,
% 7.74/5.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s197, c_busy) | m_main_v_state(s197, c_ready)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12618, 12617])).
% 7.74/5.53 tff(12620,plain,
% 7.74/5.53 ($false),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12619, 89, 12616, 12609])).
% 7.74/5.53 tff(12621,plain,((~m_main_v_request(s197)) | (~node4(s197))), inference(lemma,lemma(discharge,[]))).
% 7.74/5.53 tff(12622,plain,
% 7.74/5.53 (~m_main_v_request(s197)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12621, 12576])).
% 7.74/5.53 tff(12623,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12624,plain,
% 7.74/5.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s197) | (~node4(s197)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12625,plain,
% 7.74/5.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s197) | (~node4(s197))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12624, 12623])).
% 7.74/5.53 tff(12626,plain,
% 7.74/5.53 ($false),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12625, 28, 12622, 12576])).
% 7.74/5.53 tff(12627,plain,(~node4(s197)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.53 tff(12628,assumption,(node4(s207)), introduced(assumption)).
% 7.74/5.53 tff(12629,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12630,plain,
% 7.74/5.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s207) | (~node4(s207)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12631,plain,
% 7.74/5.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s207) | (~node4(s207))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12630, 12629])).
% 7.74/5.53 tff(12632,plain,
% 7.74/5.53 (m_main_v_request(s207)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12631, 28, 12628])).
% 7.74/5.53 tff(12633,plain,
% 7.74/5.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s207) | (~node4(s207)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s207) | (~node4(s207)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12634,plain,
% 7.74/5.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s207) | (~node4(s207)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12635,plain,
% 7.74/5.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s207) | (~node4(s207))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12634, 12633])).
% 7.74/5.53 tff(12636,plain,
% 7.74/5.53 (always3(s207)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12635, 16, 12628])).
% 7.74/5.53 tff(12637,plain,
% 7.74/5.53 (succ(s207, s208) <=> succ(s207, s208)),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12638,axiom,(succ(s207, s208)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound208')).
% 7.74/5.53 tff(12639,plain,
% 7.74/5.53 (succ(s207, s208)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12638, 12637])).
% 7.74/5.53 tff(12640,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12641,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s207, s208)) | trans(s207, s208))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12642,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s207, s208)) | trans(s207, s208)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12641, 12640])).
% 7.74/5.53 tff(12643,plain,
% 7.74/5.53 (trans(s207, s208)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12642, 12639, 39])).
% 7.74/5.53 tff(12644,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12645,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s207, s208)) | (~always3(s207)) | always3(s208))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12646,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s207, s208)) | (~always3(s207)) | always3(s208)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12645, 12644])).
% 7.74/5.53 tff(12647,plain,
% 7.74/5.53 ((~always3(s207)) | always3(s208)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12646, 112, 12643])).
% 7.74/5.53 tff(12648,plain,
% 7.74/5.53 (always3(s208)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12647, 12636])).
% 7.74/5.53 tff(12649,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12650,plain,
% 7.74/5.53 (((~m_main_v_state(s208, c_busy)) | (~always3(s208))) <=> ((~always3(s208)) | (~m_main_v_state(s208, c_busy)))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12651,plain,
% 7.74/5.53 (((~![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))))),
% 7.74/5.53 inference(monotonicity,[status(thm)],[12650])).
% 7.74/5.53 tff(12652,plain,
% 7.74/5.53 (((~![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)))),
% 7.74/5.53 inference(transitivity,[status(thm)],[12651, 12649])).
% 7.74/5.53 tff(12653,plain,
% 7.74/5.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s208, c_busy)) | (~always3(s208)))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12654,plain,
% 7.74/5.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s208)) | (~m_main_v_state(s208, c_busy))),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12653, 12652])).
% 7.74/5.53 tff(12655,plain,
% 7.74/5.53 (~m_main_v_state(s208, c_busy)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12654, 72, 12648])).
% 7.74/5.53 tff(12656,plain,
% 7.74/5.53 (((~![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))),
% 7.74/5.53 inference(rewrite,[status(thm)],[])).
% 7.74/5.53 tff(12657,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s207, s208)) | node2(s207, s208))),
% 7.74/5.53 inference(quant_inst,[status(thm)],[])).
% 7.74/5.53 tff(12658,plain,
% 7.74/5.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s207, s208)) | node2(s207, s208)),
% 7.74/5.53 inference(modus_ponens,[status(thm)],[12657, 12656])).
% 7.74/5.53 tff(12659,plain,
% 7.74/5.53 (node2(s207, s208)),
% 7.74/5.53 inference(unit_resolution,[status(thm)],[12658, 7, 12643])).
% 7.74/5.53 tff(12660,plain,
% 7.74/5.53 (((~![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(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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12661,plain,
% 7.74/5.54 ((~![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(s207, c_ready)) | (~node2(s207, s208)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12662,plain,
% 7.74/5.54 ((~![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(s207, c_ready)) | (~node2(s207, s208)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12661, 12660])).
% 7.74/5.54 tff(12663,plain,
% 7.74/5.54 ((~m_main_v_state(s207, c_ready)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207))),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12662, 60, 12659])).
% 7.74/5.54 tff(12664,plain,
% 7.74/5.54 (~m_main_v_state(s207, c_ready)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12663, 12655, 12632])).
% 7.74/5.54 tff(12665,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12666,plain,
% 7.74/5.54 (((~m_main_v_state(s207, c_busy)) | (~always3(s207))) <=> ((~always3(s207)) | (~m_main_v_state(s207, c_busy)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12667,plain,
% 7.74/5.54 (((~![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))))),
% 7.74/5.54 inference(monotonicity,[status(thm)],[12666])).
% 7.74/5.54 tff(12668,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(transitivity,[status(thm)],[12667, 12665])).
% 7.74/5.54 tff(12669,plain,
% 7.74/5.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s207, c_busy)) | (~always3(s207)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12670,plain,
% 7.74/5.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s207)) | (~m_main_v_state(s207, c_busy))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12669, 12668])).
% 7.74/5.54 tff(12671,plain,
% 7.74/5.54 (~m_main_v_state(s207, c_busy)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12670, 72, 12636])).
% 7.74/5.54 tff(12672,plain,
% 7.74/5.54 (((~![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))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12673,plain,
% 7.74/5.54 ((~![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))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12674,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s207, c_busy) | m_main_v_state(s207, c_ready)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12673, 12672])).
% 7.74/5.54 tff(12675,plain,
% 7.74/5.54 ($false),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12674, 89, 12671, 12664])).
% 7.74/5.54 tff(12676,plain,(~node4(s207)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.54 tff(12677,assumption,(node4(s206)), introduced(assumption)).
% 7.74/5.54 tff(12678,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12679,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s206) | (~node4(s206)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12680,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s206) | (~node4(s206))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 7.74/5.54 tff(12681,plain,
% 7.74/5.54 (m_main_v_request(s206)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12680, 28, 12677])).
% 7.74/5.54 tff(12682,plain,
% 7.74/5.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s206) | (~node4(s206)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s206) | (~node4(s206)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12683,plain,
% 7.74/5.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s206) | (~node4(s206)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12684,plain,
% 7.74/5.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s206) | (~node4(s206))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12683, 12682])).
% 7.74/5.54 tff(12685,plain,
% 7.74/5.54 (always3(s206)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12684, 16, 12677])).
% 7.74/5.54 tff(12686,plain,
% 7.74/5.54 (succ(s206, s207) <=> succ(s206, s207)),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12687,axiom,(succ(s206, s207)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound207')).
% 7.74/5.54 tff(12688,plain,
% 7.74/5.54 (succ(s206, s207)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12687, 12686])).
% 7.74/5.54 tff(12689,plain,
% 7.74/5.54 (((~![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))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12690,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s206, s207)) | trans(s206, s207))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12691,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s206, s207)) | trans(s206, s207)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12690, 12689])).
% 7.74/5.54 tff(12692,plain,
% 7.74/5.54 (trans(s206, s207)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12691, 12688, 39])).
% 7.74/5.54 tff(12693,plain,
% 7.74/5.54 (((~![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))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12694,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s206, s207)) | (~always3(s206)) | always3(s207))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12695,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s206, s207)) | (~always3(s206)) | always3(s207)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12694, 12693])).
% 7.74/5.54 tff(12696,plain,
% 7.74/5.54 ((~always3(s206)) | always3(s207)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12695, 112, 12692])).
% 7.74/5.54 tff(12697,plain,
% 7.74/5.54 (always3(s207)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12696, 12685])).
% 7.74/5.54 tff(12698,plain,
% 7.74/5.54 (~m_main_v_state(s207, c_busy)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12670, 72, 12697])).
% 7.74/5.54 tff(12699,plain,
% 7.74/5.54 (((~![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))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12700,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s206, s207)) | node2(s206, s207))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12701,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s206, s207)) | node2(s206, s207)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12700, 12699])).
% 7.74/5.54 tff(12702,plain,
% 7.74/5.54 (node2(s206, s207)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12701, 7, 12692])).
% 7.74/5.54 tff(12703,plain,
% 7.74/5.54 (((~![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(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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12704,plain,
% 7.74/5.54 ((~![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(s206, c_ready)) | (~node2(s206, s207)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12705,plain,
% 7.74/5.54 ((~![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(s206, c_ready)) | (~node2(s206, s207)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12704, 12703])).
% 7.74/5.54 tff(12706,plain,
% 7.74/5.54 ((~m_main_v_state(s206, c_ready)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206))),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12705, 60, 12702])).
% 7.74/5.54 tff(12707,plain,
% 7.74/5.54 (~m_main_v_state(s206, c_ready)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12706, 12698, 12681])).
% 7.74/5.54 tff(12708,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12709,plain,
% 7.74/5.54 (((~m_main_v_state(s206, c_busy)) | (~always3(s206))) <=> ((~always3(s206)) | (~m_main_v_state(s206, c_busy)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12710,plain,
% 7.74/5.54 (((~![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))))),
% 7.74/5.54 inference(monotonicity,[status(thm)],[12709])).
% 7.74/5.54 tff(12711,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(transitivity,[status(thm)],[12710, 12708])).
% 7.74/5.54 tff(12712,plain,
% 7.74/5.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s206, c_busy)) | (~always3(s206)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12713,plain,
% 7.74/5.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s206)) | (~m_main_v_state(s206, c_busy))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12712, 12711])).
% 7.74/5.54 tff(12714,plain,
% 7.74/5.54 (~m_main_v_state(s206, c_busy)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12713, 72, 12685])).
% 7.74/5.54 tff(12715,plain,
% 7.74/5.54 (((~![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))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12716,plain,
% 7.74/5.54 ((~![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))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12717,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s206, c_busy) | m_main_v_state(s206, c_ready)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12716, 12715])).
% 7.74/5.54 tff(12718,plain,
% 7.74/5.54 ($false),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12717, 89, 12714, 12707])).
% 7.74/5.54 tff(12719,plain,(~node4(s206)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.54 tff(12720,assumption,(node4(s204)), introduced(assumption)).
% 7.74/5.54 tff(12721,assumption,(m_main_v_request(s204)), introduced(assumption)).
% 7.74/5.54 tff(12722,plain,
% 7.74/5.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s204) | (~node4(s204)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s204) | (~node4(s204)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12723,plain,
% 7.74/5.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s204) | (~node4(s204)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12724,plain,
% 7.74/5.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s204) | (~node4(s204))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12723, 12722])).
% 7.74/5.54 tff(12725,plain,
% 7.74/5.54 (always3(s204)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12724, 16, 12720])).
% 7.74/5.54 tff(12726,plain,
% 7.74/5.54 (succ(s204, s205) <=> succ(s204, s205)),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12727,axiom,(succ(s204, s205)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound205')).
% 7.74/5.54 tff(12728,plain,
% 7.74/5.54 (succ(s204, s205)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12727, 12726])).
% 7.74/5.54 tff(12729,plain,
% 7.74/5.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s204, s205)) | trans(s204, s205))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s204, s205)) | trans(s204, s205))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12730,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s204, s205)) | trans(s204, s205))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12731,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s204, s205)) | trans(s204, s205)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12730, 12729])).
% 7.74/5.54 tff(12732,plain,
% 7.74/5.54 (trans(s204, s205)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12731, 12728, 39])).
% 7.74/5.54 tff(12733,plain,
% 7.74/5.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s204, s205)) | (~always3(s204)) | always3(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s204, s205)) | (~always3(s204)) | always3(s205))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12734,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s204, s205)) | (~always3(s204)) | always3(s205))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12735,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s204, s205)) | (~always3(s204)) | always3(s205)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12734, 12733])).
% 7.74/5.54 tff(12736,plain,
% 7.74/5.54 ((~always3(s204)) | always3(s205)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12735, 112, 12732])).
% 7.74/5.54 tff(12737,plain,
% 7.74/5.54 (always3(s205)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12736, 12725])).
% 7.74/5.54 tff(12738,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12739,plain,
% 7.74/5.54 (((~m_main_v_state(s205, c_busy)) | (~always3(s205))) <=> ((~always3(s205)) | (~m_main_v_state(s205, c_busy)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12740,plain,
% 7.74/5.54 (((~![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))))),
% 7.74/5.54 inference(monotonicity,[status(thm)],[12739])).
% 7.74/5.54 tff(12741,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(transitivity,[status(thm)],[12740, 12738])).
% 7.74/5.54 tff(12742,plain,
% 7.74/5.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s205, c_busy)) | (~always3(s205)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12743,plain,
% 7.74/5.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s205)) | (~m_main_v_state(s205, c_busy))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12742, 12741])).
% 7.74/5.54 tff(12744,plain,
% 7.74/5.54 (~m_main_v_state(s205, c_busy)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12743, 72, 12737])).
% 7.74/5.54 tff(12745,plain,
% 7.74/5.54 (((~![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))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12746,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s204, s205)) | node2(s204, s205))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12747,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s204, s205)) | node2(s204, s205)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12746, 12745])).
% 7.74/5.54 tff(12748,plain,
% 7.74/5.54 (node2(s204, s205)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12747, 7, 12732])).
% 7.74/5.54 tff(12749,plain,
% 7.74/5.54 (((~![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(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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12750,plain,
% 7.74/5.54 ((~![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(s204, c_ready)) | (~node2(s204, s205)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12751,plain,
% 7.74/5.54 ((~![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(s204, c_ready)) | (~node2(s204, s205)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12750, 12749])).
% 7.74/5.54 tff(12752,plain,
% 7.74/5.54 ((~m_main_v_state(s204, c_ready)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204))),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12751, 60, 12748])).
% 7.74/5.54 tff(12753,plain,
% 7.74/5.54 (~m_main_v_state(s204, c_ready)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12752, 12744, 12721])).
% 7.74/5.54 tff(12754,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12755,plain,
% 7.74/5.54 (((~m_main_v_state(s204, c_busy)) | (~always3(s204))) <=> ((~always3(s204)) | (~m_main_v_state(s204, c_busy)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12756,plain,
% 7.74/5.54 (((~![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))))),
% 7.74/5.54 inference(monotonicity,[status(thm)],[12755])).
% 7.74/5.54 tff(12757,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(transitivity,[status(thm)],[12756, 12754])).
% 7.74/5.54 tff(12758,plain,
% 7.74/5.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s204, c_busy)) | (~always3(s204)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12759,plain,
% 7.74/5.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s204)) | (~m_main_v_state(s204, c_busy))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12758, 12757])).
% 7.74/5.54 tff(12760,plain,
% 7.74/5.54 (~m_main_v_state(s204, c_busy)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12759, 72, 12725])).
% 7.74/5.54 tff(12761,plain,
% 7.74/5.54 (((~![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))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12762,plain,
% 7.74/5.54 ((~![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))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12763,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s204, c_busy) | m_main_v_state(s204, c_ready)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12762, 12761])).
% 7.74/5.54 tff(12764,plain,
% 7.74/5.54 ($false),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12763, 89, 12760, 12753])).
% 7.74/5.54 tff(12765,plain,((~m_main_v_request(s204)) | (~node4(s204))), inference(lemma,lemma(discharge,[]))).
% 7.74/5.54 tff(12766,plain,
% 7.74/5.54 (~m_main_v_request(s204)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12765, 12720])).
% 7.74/5.54 tff(12767,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12768,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s204) | (~node4(s204)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12769,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s204) | (~node4(s204))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12768, 12767])).
% 7.74/5.54 tff(12770,plain,
% 7.74/5.54 ($false),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12769, 28, 12766, 12720])).
% 7.74/5.54 tff(12771,plain,(~node4(s204)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.54 tff(12772,assumption,(node4(s198)), introduced(assumption)).
% 7.74/5.54 tff(12773,assumption,(m_main_v_request(s198)), introduced(assumption)).
% 7.74/5.54 tff(12774,plain,
% 7.74/5.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s198) | (~node4(s198)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s198) | (~node4(s198)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12775,plain,
% 7.74/5.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s198) | (~node4(s198)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12776,plain,
% 7.74/5.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s198) | (~node4(s198))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12775, 12774])).
% 7.74/5.54 tff(12777,plain,
% 7.74/5.54 (always3(s198)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12776, 16, 12772])).
% 7.74/5.54 tff(12778,plain,
% 7.74/5.54 (succ(s198, s199) <=> succ(s198, s199)),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12779,axiom,(succ(s198, s199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound199')).
% 7.74/5.54 tff(12780,plain,
% 7.74/5.54 (succ(s198, s199)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12779, 12778])).
% 7.74/5.54 tff(12781,plain,
% 7.74/5.54 (((~![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))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12782,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12783,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12782, 12781])).
% 7.74/5.54 tff(12784,plain,
% 7.74/5.54 (trans(s198, s199)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12783, 12780, 39])).
% 7.74/5.54 tff(12785,plain,
% 7.74/5.54 (((~![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))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12786,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s198, s199)) | (~always3(s198)) | always3(s199))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12787,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s198, s199)) | (~always3(s198)) | always3(s199)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12786, 12785])).
% 7.74/5.54 tff(12788,plain,
% 7.74/5.54 ((~always3(s198)) | always3(s199)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12787, 112, 12784])).
% 7.74/5.54 tff(12789,plain,
% 7.74/5.54 (always3(s199)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12788, 12777])).
% 7.74/5.54 tff(12790,plain,
% 7.74/5.54 (~m_main_v_state(s199, c_busy)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12483, 72, 12789])).
% 7.74/5.54 tff(12791,plain,
% 7.74/5.54 (((~![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))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12792,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s198, s199)) | node2(s198, s199))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12793,plain,
% 7.74/5.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s198, s199)) | node2(s198, s199)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 7.74/5.54 tff(12794,plain,
% 7.74/5.54 (node2(s198, s199)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12793, 7, 12784])).
% 7.74/5.54 tff(12795,plain,
% 7.74/5.54 (((~![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(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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12796,plain,
% 7.74/5.54 ((~![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(s198, c_ready)) | (~node2(s198, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12797,plain,
% 7.74/5.54 ((~![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(s198, c_ready)) | (~node2(s198, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12796, 12795])).
% 7.74/5.54 tff(12798,plain,
% 7.74/5.54 ((~m_main_v_state(s198, c_ready)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198))),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12797, 60, 12794])).
% 7.74/5.54 tff(12799,plain,
% 7.74/5.54 (~m_main_v_state(s198, c_ready)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12798, 12790, 12773])).
% 7.74/5.54 tff(12800,plain,
% 7.74/5.54 (~m_main_v_state(s198, c_busy)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12599, 72, 12777])).
% 7.74/5.54 tff(12801,plain,
% 7.74/5.54 (((~![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))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12802,plain,
% 7.74/5.54 ((~![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))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12803,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s198, c_busy) | m_main_v_state(s198, c_ready)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12802, 12801])).
% 7.74/5.54 tff(12804,plain,
% 7.74/5.54 ($false),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12803, 89, 12800, 12799])).
% 7.74/5.54 tff(12805,plain,((~m_main_v_request(s198)) | (~node4(s198))), inference(lemma,lemma(discharge,[]))).
% 7.74/5.54 tff(12806,plain,
% 7.74/5.54 (~m_main_v_request(s198)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12805, 12772])).
% 7.74/5.54 tff(12807,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12808,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s198) | (~node4(s198)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12809,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s198) | (~node4(s198))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12808, 12807])).
% 7.74/5.54 tff(12810,plain,
% 7.74/5.54 ($false),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12809, 28, 12806, 12772])).
% 7.74/5.54 tff(12811,plain,(~node4(s198)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.54 tff(12812,assumption,(node4(s205)), introduced(assumption)).
% 7.74/5.54 tff(12813,plain,
% 7.74/5.54 (((~![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)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12814,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s205) | (~node4(s205)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12815,plain,
% 7.74/5.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s205) | (~node4(s205))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12814, 12813])).
% 7.74/5.54 tff(12816,plain,
% 7.74/5.54 (m_main_v_request(s205)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12815, 28, 12812])).
% 7.74/5.54 tff(12817,plain,
% 7.74/5.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s205) | (~node4(s205)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s205) | (~node4(s205)))),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12818,plain,
% 7.74/5.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s205) | (~node4(s205)))),
% 7.74/5.54 inference(quant_inst,[status(thm)],[])).
% 7.74/5.54 tff(12819,plain,
% 7.74/5.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s205) | (~node4(s205))),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12818, 12817])).
% 7.74/5.54 tff(12820,plain,
% 7.74/5.54 (always3(s205)),
% 7.74/5.54 inference(unit_resolution,[status(thm)],[12819, 16, 12812])).
% 7.74/5.54 tff(12821,plain,
% 7.74/5.54 (succ(s205, s206) <=> succ(s205, s206)),
% 7.74/5.54 inference(rewrite,[status(thm)],[])).
% 7.74/5.54 tff(12822,axiom,(succ(s205, s206)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound206')).
% 7.74/5.54 tff(12823,plain,
% 7.74/5.54 (succ(s205, s206)),
% 7.74/5.54 inference(modus_ponens,[status(thm)],[12822, 12821])).
% 7.74/5.55 tff(12824,plain,
% 7.74/5.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s205, s206)) | trans(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s205, s206)) | trans(s205, s206))),
% 7.74/5.55 inference(rewrite,[status(thm)],[])).
% 7.74/5.55 tff(12825,plain,
% 7.74/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s205, s206)) | trans(s205, s206))),
% 7.74/5.55 inference(quant_inst,[status(thm)],[])).
% 7.74/5.55 tff(12826,plain,
% 7.74/5.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s205, s206)) | trans(s205, s206)),
% 7.74/5.55 inference(modus_ponens,[status(thm)],[12825, 12824])).
% 7.74/5.55 tff(12827,plain,
% 7.74/5.55 (trans(s205, s206)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12826, 12823, 39])).
% 7.74/5.55 tff(12828,plain,
% 7.74/5.55 (((~![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))),
% 7.74/5.55 inference(rewrite,[status(thm)],[])).
% 7.74/5.55 tff(12829,plain,
% 7.74/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s205, s206)) | (~always3(s205)) | always3(s206))),
% 7.74/5.55 inference(quant_inst,[status(thm)],[])).
% 7.74/5.55 tff(12830,plain,
% 7.74/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s205, s206)) | (~always3(s205)) | always3(s206)),
% 7.74/5.55 inference(modus_ponens,[status(thm)],[12829, 12828])).
% 7.74/5.55 tff(12831,plain,
% 7.74/5.55 ((~always3(s205)) | always3(s206)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12830, 112, 12827])).
% 7.74/5.55 tff(12832,plain,
% 7.74/5.55 (always3(s206)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12831, 12820])).
% 7.74/5.55 tff(12833,plain,
% 7.74/5.55 (~m_main_v_state(s206, c_busy)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12713, 72, 12832])).
% 7.74/5.55 tff(12834,plain,
% 7.74/5.55 (((~![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))),
% 7.74/5.55 inference(rewrite,[status(thm)],[])).
% 7.74/5.55 tff(12835,plain,
% 7.74/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s205, s206)) | node2(s205, s206))),
% 7.74/5.55 inference(quant_inst,[status(thm)],[])).
% 7.74/5.55 tff(12836,plain,
% 7.74/5.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s205, s206)) | node2(s205, s206)),
% 7.74/5.55 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 7.74/5.55 tff(12837,plain,
% 7.74/5.55 (node2(s205, s206)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12836, 7, 12827])).
% 7.74/5.55 tff(12838,plain,
% 7.74/5.55 (((~![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(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)))),
% 7.74/5.55 inference(rewrite,[status(thm)],[])).
% 7.74/5.55 tff(12839,plain,
% 7.74/5.55 ((~![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(s205, c_ready)) | (~node2(s205, s206)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205)))),
% 7.74/5.55 inference(quant_inst,[status(thm)],[])).
% 7.74/5.55 tff(12840,plain,
% 7.74/5.55 ((~![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(s205, c_ready)) | (~node2(s205, s206)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205))),
% 7.74/5.55 inference(modus_ponens,[status(thm)],[12839, 12838])).
% 7.74/5.55 tff(12841,plain,
% 7.74/5.55 ((~m_main_v_state(s205, c_ready)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12840, 60, 12837])).
% 7.74/5.55 tff(12842,plain,
% 7.74/5.55 (~m_main_v_state(s205, c_ready)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12841, 12833, 12816])).
% 7.74/5.55 tff(12843,plain,
% 7.74/5.55 (~m_main_v_state(s205, c_busy)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12743, 72, 12820])).
% 7.74/5.55 tff(12844,plain,
% 7.74/5.55 (((~![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))),
% 7.74/5.55 inference(rewrite,[status(thm)],[])).
% 7.74/5.55 tff(12845,plain,
% 7.74/5.55 ((~![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))),
% 7.74/5.55 inference(quant_inst,[status(thm)],[])).
% 7.74/5.55 tff(12846,plain,
% 7.74/5.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s205, c_busy) | m_main_v_state(s205, c_ready)),
% 7.74/5.55 inference(modus_ponens,[status(thm)],[12845, 12844])).
% 7.74/5.55 tff(12847,plain,
% 7.74/5.55 ($false),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12846, 89, 12843, 12842])).
% 7.74/5.55 tff(12848,plain,(~node4(s205)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.55 tff(12849,assumption,(~node4(s197)), introduced(assumption)).
% 7.74/5.55 tff(12850,assumption,(~xuntil6(s208)), introduced(assumption)).
% 7.74/5.55 tff(12851,assumption,(~node4(s207)), introduced(assumption)).
% 7.74/5.55 tff(12852,assumption,(~node4(s206)), introduced(assumption)).
% 7.74/5.55 tff(12853,assumption,(~node4(s198)), introduced(assumption)).
% 7.74/5.55 tff(12854,assumption,(~node4(s199)), introduced(assumption)).
% 7.74/5.55 tff(12855,assumption,(~node4(s204)), introduced(assumption)).
% 7.74/5.55 tff(12856,assumption,(~node4(s200)), introduced(assumption)).
% 7.74/5.55 tff(12857,assumption,(~node4(s201)), introduced(assumption)).
% 7.74/5.55 tff(12858,assumption,(~node4(s205)), introduced(assumption)).
% 7.74/5.55 tff(12859,assumption,(~always3(s196)), introduced(assumption)).
% 7.74/5.55 tff(12860,plain,
% 7.74/5.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s196) | (~node4(s196)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s196) | (~node4(s196)))),
% 7.74/5.55 inference(rewrite,[status(thm)],[])).
% 7.74/5.55 tff(12861,plain,
% 7.74/5.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s196) | (~node4(s196)))),
% 7.74/5.55 inference(quant_inst,[status(thm)],[])).
% 7.74/5.55 tff(12862,plain,
% 7.74/5.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s196) | (~node4(s196))),
% 7.74/5.55 inference(modus_ponens,[status(thm)],[12861, 12860])).
% 7.74/5.55 tff(12863,plain,
% 7.74/5.55 (~node4(s196)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12862, 16, 12859])).
% 7.74/5.55 tff(12864,plain,
% 7.74/5.55 (~always3(s195)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12404, 12859])).
% 7.74/5.55 tff(12865,plain,
% 7.74/5.55 (~always3(s194)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12348, 12864])).
% 7.74/5.55 tff(12866,plain,
% 7.74/5.55 (~always3(s193)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12292, 12865])).
% 7.74/5.55 tff(12867,plain,
% 7.74/5.55 (~always3(s192)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12236, 12866])).
% 7.74/5.55 tff(12868,plain,
% 7.74/5.55 (~always3(s191)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12180, 12867])).
% 7.74/5.55 tff(12869,plain,
% 7.74/5.55 (~always3(s190)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12124, 12868])).
% 7.74/5.55 tff(12870,plain,
% 7.74/5.55 (~always3(s189)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12068, 12869])).
% 7.74/5.55 tff(12871,plain,
% 7.74/5.55 (~always3(s188)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12012, 12870])).
% 7.74/5.55 tff(12872,plain,
% 7.74/5.55 (~always3(s187)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11956, 12871])).
% 7.74/5.55 tff(12873,plain,
% 7.74/5.55 (~always3(s186)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11900, 12872])).
% 7.74/5.55 tff(12874,plain,
% 7.74/5.55 (~always3(s185)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11844, 12873])).
% 7.74/5.55 tff(12875,plain,
% 7.74/5.55 (~always3(s184)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11788, 12874])).
% 7.74/5.55 tff(12876,plain,
% 7.74/5.55 (~always3(s183)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11732, 12875])).
% 7.74/5.55 tff(12877,plain,
% 7.74/5.55 (~always3(s182)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11676, 12876])).
% 7.74/5.55 tff(12878,plain,
% 7.74/5.55 (~always3(s181)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11620, 12877])).
% 7.74/5.55 tff(12879,plain,
% 7.74/5.55 (~always3(s180)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11585, 12878])).
% 7.74/5.55 tff(12880,plain,
% 7.74/5.55 (~always3(s179)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11505, 12879])).
% 7.74/5.55 tff(12881,plain,
% 7.74/5.55 (~always3(s178)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11449, 12880])).
% 7.74/5.55 tff(12882,plain,
% 7.74/5.55 (~always3(s177)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11393, 12881])).
% 7.74/5.55 tff(12883,plain,
% 7.74/5.55 (~always3(s176)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11357, 12882])).
% 7.74/5.55 tff(12884,plain,
% 7.74/5.55 (~always3(s175)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11277, 12883])).
% 7.74/5.55 tff(12885,plain,
% 7.74/5.55 (~always3(s174)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11242, 12884])).
% 7.74/5.55 tff(12886,plain,
% 7.74/5.55 (~always3(s173)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11162, 12885])).
% 7.74/5.55 tff(12887,plain,
% 7.74/5.55 (~always3(s172)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11106, 12886])).
% 7.74/5.55 tff(12888,plain,
% 7.74/5.55 (~always3(s171)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11050, 12887])).
% 7.74/5.55 tff(12889,plain,
% 7.74/5.55 (~always3(s170)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10977, 12888])).
% 7.74/5.55 tff(12890,plain,
% 7.74/5.55 (~always3(s169)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10921, 12889])).
% 7.74/5.55 tff(12891,plain,
% 7.74/5.55 (~always3(s168)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10865, 12890])).
% 7.74/5.55 tff(12892,plain,
% 7.74/5.55 (~always3(s167)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10809, 12891])).
% 7.74/5.55 tff(12893,plain,
% 7.74/5.55 (~always3(s166)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10753, 12892])).
% 7.74/5.55 tff(12894,plain,
% 7.74/5.55 (~always3(s165)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10697, 12893])).
% 7.74/5.55 tff(12895,plain,
% 7.74/5.55 (~always3(s164)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10635, 12894])).
% 7.74/5.55 tff(12896,plain,
% 7.74/5.55 (~always3(s163)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10582, 12895])).
% 7.74/5.55 tff(12897,plain,
% 7.74/5.55 (~always3(s162)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10526, 12896])).
% 7.74/5.55 tff(12898,plain,
% 7.74/5.55 (~always3(s161)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10464, 12897])).
% 7.74/5.55 tff(12899,plain,
% 7.74/5.55 (~always3(s160)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10411, 12898])).
% 7.74/5.55 tff(12900,plain,
% 7.74/5.55 (~always3(s159)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10355, 12899])).
% 7.74/5.55 tff(12901,plain,
% 7.74/5.55 (~always3(s158)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10299, 12900])).
% 7.74/5.55 tff(12902,plain,
% 7.74/5.55 (~always3(s157)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10243, 12901])).
% 7.74/5.55 tff(12903,plain,
% 7.74/5.55 (~always3(s156)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10187, 12902])).
% 7.74/5.55 tff(12904,plain,
% 7.74/5.55 (~always3(s155)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10131, 12903])).
% 7.74/5.55 tff(12905,plain,
% 7.74/5.55 (~always3(s154)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10075, 12904])).
% 7.74/5.55 tff(12906,plain,
% 7.74/5.55 (~always3(s153)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10019, 12905])).
% 7.74/5.55 tff(12907,plain,
% 7.74/5.55 (~always3(s152)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9963, 12906])).
% 7.74/5.55 tff(12908,plain,
% 7.74/5.55 (~node4(s152)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9951, 16, 12907])).
% 7.74/5.55 tff(12909,plain,
% 7.74/5.55 (~node4(s153)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10007, 16, 12906])).
% 7.74/5.55 tff(12910,plain,
% 7.74/5.55 (~node4(s155)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10119, 16, 12904])).
% 7.74/5.55 tff(12911,plain,
% 7.74/5.55 (~node4(s179)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11493, 16, 12880])).
% 7.74/5.55 tff(12912,plain,
% 7.74/5.55 (~node4(s156)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10175, 16, 12903])).
% 7.74/5.55 tff(12913,plain,
% 7.74/5.55 (~node4(s165)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10685, 16, 12894])).
% 7.74/5.55 tff(12914,plain,
% 7.74/5.55 (~node4(s177)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11381, 16, 12882])).
% 7.74/5.55 tff(12915,plain,
% 7.74/5.55 (~node4(s157)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10231, 16, 12902])).
% 7.74/5.55 tff(12916,plain,
% 7.74/5.55 (~node4(s176)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11338, 16, 12883])).
% 7.74/5.55 tff(12917,plain,
% 7.74/5.55 (~node4(s175)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11265, 16, 12884])).
% 7.74/5.55 tff(12918,plain,
% 7.74/5.55 (~node4(s174)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11202, 16, 12885])).
% 7.74/5.55 tff(12919,plain,
% 7.74/5.55 (~node4(s161)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10452, 16, 12898])).
% 7.74/5.55 tff(12920,plain,
% 7.74/5.55 (~node4(s172)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11094, 16, 12887])).
% 7.74/5.55 tff(12921,plain,
% 7.74/5.55 (~node4(s166)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10741, 16, 12893])).
% 7.74/5.55 tff(12922,plain,
% 7.74/5.55 (~node4(s170)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10965, 16, 12889])).
% 7.74/5.55 tff(12923,plain,
% 7.74/5.55 (~node4(s180)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11545, 16, 12879])).
% 7.74/5.55 tff(12924,plain,
% 7.74/5.55 (~node4(s169)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10909, 16, 12890])).
% 7.74/5.55 tff(12925,plain,
% 7.74/5.55 (~node4(s168)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10853, 16, 12891])).
% 7.74/5.55 tff(12926,plain,
% 7.74/5.55 (~node4(s164)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10623, 16, 12895])).
% 7.74/5.55 tff(12927,assumption,(~always3(s184)), introduced(assumption)).
% 7.74/5.55 tff(12928,plain,
% 7.74/5.55 (~always3(s183)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11732, 12927])).
% 7.74/5.55 tff(12929,plain,
% 7.74/5.55 (~always3(s182)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11676, 12928])).
% 7.74/5.55 tff(12930,plain,
% 7.74/5.55 (~always3(s181)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11620, 12929])).
% 7.74/5.55 tff(12931,plain,
% 7.74/5.55 (~node4(s181)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11608, 16, 12930])).
% 7.74/5.55 tff(12932,plain,
% 7.74/5.55 (~node4(s184)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11776, 16, 12927])).
% 7.74/5.55 tff(12933,assumption,(~xuntil6(s184)), introduced(assumption)).
% 7.74/5.55 tff(12934,plain,
% 7.74/5.55 (node4(s184) | (~until5(s184))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11817, 352, 12933])).
% 7.74/5.55 tff(12935,plain,
% 7.74/5.55 (~until5(s184)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12934, 12932])).
% 7.74/5.55 tff(12936,plain,
% 7.74/5.55 (~xuntil6(s183)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11767, 12935])).
% 7.74/5.55 tff(12937,plain,
% 7.74/5.55 (~until5(s183)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11762, 12936])).
% 7.74/5.55 tff(12938,plain,
% 7.74/5.55 (~xuntil6(s182)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11711, 12937])).
% 7.74/5.55 tff(12939,plain,
% 7.74/5.55 (~until5(s182)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11706, 12938])).
% 7.74/5.55 tff(12940,plain,
% 7.74/5.55 (~xuntil6(s181)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11655, 12939])).
% 7.74/5.55 tff(12941,plain,
% 7.74/5.55 (~until5(s181)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11649, 352, 12940, 12931])).
% 7.74/5.55 tff(12942,plain,
% 7.74/5.55 (~xuntil6(s180)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11599, 12941])).
% 7.74/5.55 tff(12943,assumption,(~node4(s180)), introduced(assumption)).
% 7.74/5.55 tff(12944,plain,
% 7.74/5.55 (xuntil6(s180) | (~until5(s180))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11593, 352, 12943])).
% 7.74/5.55 tff(12945,plain,
% 7.74/5.55 (~until5(s180)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12944, 12942])).
% 7.74/5.55 tff(12946,plain,
% 7.74/5.55 (~xuntil6(s179)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11540, 12945])).
% 7.74/5.55 tff(12947,assumption,(~node4(s179)), introduced(assumption)).
% 7.74/5.55 tff(12948,plain,
% 7.74/5.55 (xuntil6(s179) | (~until5(s179))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11534, 352, 12947])).
% 7.74/5.55 tff(12949,plain,
% 7.74/5.55 (~until5(s179)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12948, 12946])).
% 7.74/5.55 tff(12950,plain,
% 7.74/5.55 (~xuntil6(s178)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11484, 12949])).
% 7.74/5.55 tff(12951,plain,
% 7.74/5.55 (~always3(s180)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11585, 12930])).
% 7.74/5.55 tff(12952,plain,
% 7.74/5.55 (~always3(s179)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11505, 12951])).
% 7.74/5.55 tff(12953,plain,
% 7.74/5.55 (~always3(s178)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11449, 12952])).
% 7.74/5.55 tff(12954,plain,
% 7.74/5.55 (~node4(s178)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11437, 16, 12953])).
% 7.74/5.55 tff(12955,plain,
% 7.74/5.55 (xuntil6(s178) | (~until5(s178))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11478, 352, 12954])).
% 7.74/5.55 tff(12956,plain,
% 7.74/5.55 (~until5(s178)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12955, 12950])).
% 7.74/5.55 tff(12957,plain,
% 7.74/5.55 (~xuntil6(s177)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11428, 12956])).
% 7.74/5.55 tff(12958,assumption,(~node4(s177)), introduced(assumption)).
% 7.74/5.55 tff(12959,plain,
% 7.74/5.55 (xuntil6(s177) | (~until5(s177))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11422, 352, 12958])).
% 7.74/5.55 tff(12960,plain,
% 7.74/5.55 (~until5(s177)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12959, 12957])).
% 7.74/5.55 tff(12961,plain,
% 7.74/5.55 (~xuntil6(s176)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11372, 12960])).
% 7.74/5.55 tff(12962,assumption,(~node4(s176)), introduced(assumption)).
% 7.74/5.55 tff(12963,plain,
% 7.74/5.55 (xuntil6(s176) | (~until5(s176))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11366, 352, 12962])).
% 7.74/5.55 tff(12964,plain,
% 7.74/5.55 (~until5(s176)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12963, 12961])).
% 7.74/5.55 tff(12965,plain,
% 7.74/5.55 (~xuntil6(s175)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11312, 12964])).
% 7.74/5.55 tff(12966,assumption,(~node4(s175)), introduced(assumption)).
% 7.74/5.55 tff(12967,plain,
% 7.74/5.55 (xuntil6(s175) | (~until5(s175))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11306, 352, 12966])).
% 7.74/5.55 tff(12968,plain,
% 7.74/5.55 (~until5(s175)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12967, 12965])).
% 7.74/5.55 tff(12969,plain,
% 7.74/5.55 (~xuntil6(s174)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11256, 12968])).
% 7.74/5.55 tff(12970,assumption,(~node4(s174)), introduced(assumption)).
% 7.74/5.55 tff(12971,plain,
% 7.74/5.55 (xuntil6(s174) | (~until5(s174))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11250, 352, 12970])).
% 7.74/5.55 tff(12972,plain,
% 7.74/5.55 (~until5(s174)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12971, 12969])).
% 7.74/5.55 tff(12973,plain,
% 7.74/5.55 (~xuntil6(s173)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11197, 12972])).
% 7.74/5.55 tff(12974,plain,
% 7.74/5.55 (~until5(s173)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11192, 12973])).
% 7.74/5.55 tff(12975,plain,
% 7.74/5.55 (~xuntil6(s172)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11141, 12974])).
% 7.74/5.55 tff(12976,assumption,(~node4(s172)), introduced(assumption)).
% 7.74/5.55 tff(12977,plain,
% 7.74/5.55 (xuntil6(s172) | (~until5(s172))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11135, 352, 12976])).
% 7.74/5.55 tff(12978,plain,
% 7.74/5.55 (~until5(s172)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12977, 12975])).
% 7.74/5.55 tff(12979,plain,
% 7.74/5.55 (~xuntil6(s171)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11085, 12978])).
% 7.74/5.55 tff(12980,plain,
% 7.74/5.55 (~until5(s171)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11080, 12979])).
% 7.74/5.55 tff(12981,plain,
% 7.74/5.55 (~xuntil6(s170)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11029, 12980])).
% 7.74/5.55 tff(12982,assumption,(~node4(s170)), introduced(assumption)).
% 7.74/5.55 tff(12983,plain,
% 7.74/5.55 (xuntil6(s170) | (~until5(s170))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11023, 352, 12982])).
% 7.74/5.55 tff(12984,plain,
% 7.74/5.55 (~until5(s170)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12983, 12981])).
% 7.74/5.55 tff(12985,plain,
% 7.74/5.55 (~xuntil6(s169)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10956, 12984])).
% 7.74/5.55 tff(12986,assumption,(~node4(s169)), introduced(assumption)).
% 7.74/5.55 tff(12987,plain,
% 7.74/5.55 (xuntil6(s169) | (~until5(s169))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10950, 352, 12986])).
% 7.74/5.55 tff(12988,plain,
% 7.74/5.55 (~until5(s169)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12987, 12985])).
% 7.74/5.55 tff(12989,plain,
% 7.74/5.55 (~xuntil6(s168)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10900, 12988])).
% 7.74/5.55 tff(12990,assumption,(~node4(s168)), introduced(assumption)).
% 7.74/5.55 tff(12991,plain,
% 7.74/5.55 (xuntil6(s168) | (~until5(s168))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10894, 352, 12990])).
% 7.74/5.55 tff(12992,plain,
% 7.74/5.55 (~until5(s168)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12991, 12989])).
% 7.74/5.55 tff(12993,plain,
% 7.74/5.55 (~xuntil6(s167)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10844, 12992])).
% 7.74/5.55 tff(12994,assumption,(~node4(s153)), introduced(assumption)).
% 7.74/5.55 tff(12995,assumption,(~node4(s152)), introduced(assumption)).
% 7.74/5.55 tff(12996,plain,
% 7.74/5.55 (~always3(s177)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11393, 12953])).
% 7.74/5.55 tff(12997,plain,
% 7.74/5.55 (~always3(s176)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11357, 12996])).
% 7.74/5.55 tff(12998,plain,
% 7.74/5.55 (~always3(s175)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11277, 12997])).
% 7.74/5.55 tff(12999,plain,
% 7.74/5.55 (~always3(s174)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11242, 12998])).
% 7.74/5.55 tff(13000,plain,
% 7.74/5.55 (~always3(s173)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11162, 12999])).
% 7.74/5.55 tff(13001,plain,
% 7.74/5.55 (~always3(s172)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11106, 13000])).
% 7.74/5.55 tff(13002,plain,
% 7.74/5.55 (~always3(s171)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11050, 13001])).
% 7.74/5.55 tff(13003,plain,
% 7.74/5.55 (~always3(s170)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10977, 13002])).
% 7.74/5.55 tff(13004,plain,
% 7.74/5.55 (~always3(s169)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10921, 13003])).
% 7.74/5.55 tff(13005,plain,
% 7.74/5.55 (~always3(s168)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10865, 13004])).
% 7.74/5.55 tff(13006,plain,
% 7.74/5.55 (~always3(s167)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10809, 13005])).
% 7.74/5.55 tff(13007,plain,
% 7.74/5.55 (~always3(s166)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10753, 13006])).
% 7.74/5.55 tff(13008,plain,
% 7.74/5.55 (~always3(s165)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10697, 13007])).
% 7.74/5.55 tff(13009,plain,
% 7.74/5.55 (~always3(s164)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10635, 13008])).
% 7.74/5.55 tff(13010,plain,
% 7.74/5.55 (~always3(s163)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10582, 13009])).
% 7.74/5.55 tff(13011,plain,
% 7.74/5.55 (~always3(s162)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10526, 13010])).
% 7.74/5.55 tff(13012,plain,
% 7.74/5.55 (~always3(s161)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10464, 13011])).
% 7.74/5.55 tff(13013,plain,
% 7.74/5.55 (~always3(s160)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10411, 13012])).
% 7.74/5.55 tff(13014,plain,
% 7.74/5.55 (~always3(s159)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10355, 13013])).
% 7.74/5.55 tff(13015,plain,
% 7.74/5.55 (~always3(s158)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10299, 13014])).
% 7.74/5.55 tff(13016,plain,
% 7.74/5.55 (~always3(s157)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10243, 13015])).
% 7.74/5.55 tff(13017,plain,
% 7.74/5.55 (~always3(s156)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10187, 13016])).
% 7.74/5.55 tff(13018,plain,
% 7.74/5.55 (~always3(s155)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10131, 13017])).
% 7.74/5.55 tff(13019,plain,
% 7.74/5.55 (~always3(s154)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10075, 13018])).
% 7.74/5.55 tff(13020,plain,
% 7.74/5.55 (~always3(s153)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10019, 13019])).
% 7.74/5.55 tff(13021,plain,
% 7.74/5.55 (~always3(s152)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9963, 13020])).
% 7.74/5.55 tff(13022,plain,
% 7.74/5.55 (~always3(s151)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9907, 13021])).
% 7.74/5.55 tff(13023,plain,
% 7.74/5.55 (~always3(s150)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[217, 13022])).
% 7.74/5.55 tff(13024,plain,
% 7.74/5.55 (~always3(s149)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9845, 13023])).
% 7.74/5.55 tff(13025,plain,
% 7.74/5.55 (~always3(s148)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9789, 13024])).
% 7.74/5.55 tff(13026,plain,
% 7.74/5.55 (~always3(s147)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9733, 13025])).
% 7.74/5.55 tff(13027,plain,
% 7.74/5.55 (~always3(s146)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9677, 13026])).
% 7.74/5.55 tff(13028,plain,
% 7.74/5.55 (~always3(s145)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9621, 13027])).
% 7.74/5.55 tff(13029,plain,
% 7.74/5.55 (~always3(s144)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9565, 13028])).
% 7.74/5.55 tff(13030,plain,
% 7.74/5.55 (~always3(s143)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9509, 13029])).
% 7.74/5.55 tff(13031,plain,
% 7.74/5.55 (~always3(s142)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9453, 13030])).
% 7.74/5.55 tff(13032,plain,
% 7.74/5.55 (~always3(s141)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9397, 13031])).
% 7.74/5.55 tff(13033,plain,
% 7.74/5.55 (~always3(s140)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9341, 13032])).
% 7.74/5.55 tff(13034,plain,
% 7.74/5.55 (~always3(s139)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9285, 13033])).
% 7.74/5.55 tff(13035,plain,
% 7.74/5.55 (~always3(s138)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9229, 13034])).
% 7.74/5.55 tff(13036,plain,
% 7.74/5.55 (~always3(s137)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9173, 13035])).
% 7.74/5.55 tff(13037,plain,
% 7.74/5.55 (~always3(s136)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9100, 13036])).
% 7.74/5.55 tff(13038,plain,
% 7.74/5.55 (~always3(s135)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9044, 13037])).
% 7.74/5.55 tff(13039,plain,
% 7.74/5.55 (~always3(s134)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8988, 13038])).
% 7.74/5.55 tff(13040,plain,
% 7.74/5.55 (~always3(s133)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8932, 13039])).
% 7.74/5.55 tff(13041,plain,
% 7.74/5.55 (~always3(s132)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8876, 13040])).
% 7.74/5.55 tff(13042,plain,
% 7.74/5.55 (~always3(s131)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8820, 13041])).
% 7.74/5.55 tff(13043,plain,
% 7.74/5.55 (~always3(s130)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8764, 13042])).
% 7.74/5.55 tff(13044,plain,
% 7.74/5.55 (~always3(s129)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8708, 13043])).
% 7.74/5.55 tff(13045,plain,
% 7.74/5.55 (~always3(s128)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8652, 13044])).
% 7.74/5.55 tff(13046,plain,
% 7.74/5.55 (~always3(s127)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8596, 13045])).
% 7.74/5.55 tff(13047,plain,
% 7.74/5.55 (~always3(s126)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8540, 13046])).
% 7.74/5.55 tff(13048,plain,
% 7.74/5.55 (~always3(s125)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8484, 13047])).
% 7.74/5.55 tff(13049,plain,
% 7.74/5.55 (~always3(s124)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8428, 13048])).
% 7.74/5.55 tff(13050,plain,
% 7.74/5.55 (~always3(s123)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8372, 13049])).
% 7.74/5.55 tff(13051,plain,
% 7.74/5.55 (~always3(s122)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8316, 13050])).
% 7.74/5.55 tff(13052,plain,
% 7.74/5.55 (~always3(s121)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8260, 13051])).
% 7.74/5.55 tff(13053,plain,
% 7.74/5.55 (~always3(s120)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8204, 13052])).
% 7.74/5.55 tff(13054,plain,
% 7.74/5.55 (~always3(s119)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8148, 13053])).
% 7.74/5.55 tff(13055,plain,
% 7.74/5.55 (~always3(s118)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8092, 13054])).
% 7.74/5.55 tff(13056,plain,
% 7.74/5.55 (~always3(s117)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8036, 13055])).
% 7.74/5.55 tff(13057,plain,
% 7.74/5.55 (~always3(s116)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7980, 13056])).
% 7.74/5.55 tff(13058,plain,
% 7.74/5.55 (~always3(s115)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7924, 13057])).
% 7.74/5.55 tff(13059,plain,
% 7.74/5.55 (~always3(s114)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7868, 13058])).
% 7.74/5.55 tff(13060,plain,
% 7.74/5.55 (~always3(s113)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7812, 13059])).
% 7.74/5.55 tff(13061,plain,
% 7.74/5.55 (~always3(s112)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7739, 13060])).
% 7.74/5.55 tff(13062,plain,
% 7.74/5.55 (~always3(s111)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7673, 13061])).
% 7.74/5.55 tff(13063,plain,
% 7.74/5.55 (~always3(s110)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7617, 13062])).
% 7.74/5.55 tff(13064,plain,
% 7.74/5.55 (~always3(s109)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7561, 13063])).
% 7.74/5.55 tff(13065,plain,
% 7.74/5.55 (~always3(s108)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7505, 13064])).
% 7.74/5.55 tff(13066,plain,
% 7.74/5.55 (~always3(s107)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7449, 13065])).
% 7.74/5.55 tff(13067,plain,
% 7.74/5.55 (~always3(s106)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7393, 13066])).
% 7.74/5.55 tff(13068,plain,
% 7.74/5.55 (~always3(s105)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7337, 13067])).
% 7.74/5.55 tff(13069,plain,
% 7.74/5.55 (~always3(s104)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7250, 13068])).
% 7.74/5.55 tff(13070,plain,
% 7.74/5.55 (~always3(s103)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7169, 13069])).
% 7.74/5.55 tff(13071,plain,
% 7.74/5.55 (~always3(s102)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7120, 13070])).
% 7.74/5.55 tff(13072,plain,
% 7.74/5.55 (~always3(s101)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7064, 13071])).
% 7.74/5.55 tff(13073,plain,
% 7.74/5.55 (~always3(s100)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7008, 13072])).
% 7.74/5.55 tff(13074,plain,
% 7.74/5.55 (~always3(s99)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6952, 13073])).
% 7.74/5.55 tff(13075,plain,
% 7.74/5.55 (~always3(s98)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6896, 13074])).
% 7.74/5.55 tff(13076,plain,
% 7.74/5.55 (~always3(s97)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6840, 13075])).
% 7.74/5.55 tff(13077,plain,
% 7.74/5.55 (~always3(s96)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6784, 13076])).
% 7.74/5.55 tff(13078,plain,
% 7.74/5.55 (~always3(s95)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6728, 13077])).
% 7.74/5.55 tff(13079,plain,
% 7.74/5.55 (~always3(s94)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6672, 13078])).
% 7.74/5.55 tff(13080,plain,
% 7.74/5.55 (~always3(s93)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6598, 13079])).
% 7.74/5.55 tff(13081,plain,
% 7.74/5.55 (~always3(s92)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6158, 13080])).
% 7.74/5.55 tff(13082,plain,
% 7.74/5.55 (~always3(s91)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6519, 13081])).
% 7.74/5.55 tff(13083,plain,
% 7.74/5.55 (xuntil6(s91)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6502, 13082])).
% 7.74/5.55 tff(13084,plain,
% 7.74/5.55 (until5(s92)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6209, 13083])).
% 7.74/5.55 tff(13085,assumption,(~always3(s151)), introduced(assumption)).
% 7.74/5.55 tff(13086,plain,
% 7.74/5.55 (~always3(s150)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[217, 13085])).
% 7.74/5.55 tff(13087,plain,
% 7.74/5.55 (~node4(s150)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[192, 16, 13086])).
% 7.74/5.55 tff(13088,plain,
% 7.74/5.55 (~node4(s151)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9895, 16, 13085])).
% 7.74/5.55 tff(13089,assumption,(~xuntil6(s151)), introduced(assumption)).
% 7.74/5.55 tff(13090,plain,
% 7.74/5.55 (node4(s151) | (~until5(s151))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9936, 352, 13089])).
% 7.74/5.55 tff(13091,plain,
% 7.74/5.55 (~until5(s151)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13090, 13088])).
% 7.74/5.55 tff(13092,plain,
% 7.74/5.55 (~xuntil6(s150)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9886, 13091])).
% 7.74/5.55 tff(13093,plain,
% 7.74/5.55 (~until5(s150)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9881, 352, 13092, 13087])).
% 7.74/5.55 tff(13094,plain,
% 7.74/5.55 (~xuntil6(s149)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9874, 13093])).
% 7.74/5.55 tff(13095,plain,
% 7.74/5.55 (~always3(s149)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9845, 13086])).
% 7.74/5.55 tff(13096,plain,
% 7.74/5.55 (~node4(s149)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9833, 16, 13095])).
% 7.74/5.55 tff(13097,plain,
% 7.74/5.55 (xuntil6(s149) | (~until5(s149))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9868, 352, 13096])).
% 7.74/5.55 tff(13098,plain,
% 7.74/5.55 (~until5(s149)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13097, 13094])).
% 7.74/5.55 tff(13099,plain,
% 7.74/5.55 (~xuntil6(s148)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9824, 13098])).
% 7.74/5.55 tff(13100,plain,
% 7.74/5.55 (~always3(s148)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9789, 13095])).
% 7.74/5.55 tff(13101,plain,
% 7.74/5.55 (~node4(s148)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9777, 16, 13100])).
% 7.74/5.55 tff(13102,plain,
% 7.74/5.55 (xuntil6(s148) | (~until5(s148))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9818, 352, 13101])).
% 7.74/5.55 tff(13103,plain,
% 7.74/5.55 (~until5(s148)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13102, 13099])).
% 7.74/5.55 tff(13104,plain,
% 7.74/5.55 (~xuntil6(s147)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9768, 13103])).
% 7.74/5.55 tff(13105,plain,
% 7.74/5.55 (~always3(s147)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9733, 13100])).
% 7.74/5.55 tff(13106,plain,
% 7.74/5.55 (~node4(s147)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9721, 16, 13105])).
% 7.74/5.55 tff(13107,plain,
% 7.74/5.55 (xuntil6(s147) | (~until5(s147))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9762, 352, 13106])).
% 7.74/5.55 tff(13108,plain,
% 7.74/5.55 (~until5(s147)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13107, 13104])).
% 7.74/5.55 tff(13109,plain,
% 7.74/5.55 (~xuntil6(s146)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9712, 13108])).
% 7.74/5.55 tff(13110,plain,
% 7.74/5.55 (~always3(s146)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9677, 13105])).
% 7.74/5.55 tff(13111,plain,
% 7.74/5.55 (~node4(s146)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9665, 16, 13110])).
% 7.74/5.55 tff(13112,plain,
% 7.74/5.55 (xuntil6(s146) | (~until5(s146))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9706, 352, 13111])).
% 7.74/5.55 tff(13113,plain,
% 7.74/5.55 (~until5(s146)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13112, 13109])).
% 7.74/5.55 tff(13114,plain,
% 7.74/5.55 (~xuntil6(s145)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9656, 13113])).
% 7.74/5.55 tff(13115,plain,
% 7.74/5.55 (~always3(s145)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9621, 13110])).
% 7.74/5.55 tff(13116,plain,
% 7.74/5.55 (~node4(s145)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9609, 16, 13115])).
% 7.74/5.55 tff(13117,plain,
% 7.74/5.55 (xuntil6(s145) | (~until5(s145))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9650, 352, 13116])).
% 7.74/5.55 tff(13118,plain,
% 7.74/5.55 (~until5(s145)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13117, 13114])).
% 7.74/5.55 tff(13119,plain,
% 7.74/5.55 (~xuntil6(s144)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9600, 13118])).
% 7.74/5.55 tff(13120,plain,
% 7.74/5.55 (~always3(s144)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9565, 13115])).
% 7.74/5.55 tff(13121,plain,
% 7.74/5.55 (~node4(s144)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9553, 16, 13120])).
% 7.74/5.55 tff(13122,plain,
% 7.74/5.55 (xuntil6(s144) | (~until5(s144))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9594, 352, 13121])).
% 7.74/5.55 tff(13123,plain,
% 7.74/5.55 (~until5(s144)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13122, 13119])).
% 7.74/5.55 tff(13124,plain,
% 7.74/5.55 (~xuntil6(s143)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9544, 13123])).
% 7.74/5.55 tff(13125,plain,
% 7.74/5.55 (~always3(s143)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9509, 13120])).
% 7.74/5.55 tff(13126,plain,
% 7.74/5.55 (~node4(s143)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9497, 16, 13125])).
% 7.74/5.55 tff(13127,plain,
% 7.74/5.55 (xuntil6(s143) | (~until5(s143))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9538, 352, 13126])).
% 7.74/5.55 tff(13128,plain,
% 7.74/5.55 (~until5(s143)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13127, 13124])).
% 7.74/5.55 tff(13129,plain,
% 7.74/5.55 (~xuntil6(s142)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9488, 13128])).
% 7.74/5.55 tff(13130,plain,
% 7.74/5.55 (~always3(s142)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9453, 13125])).
% 7.74/5.55 tff(13131,plain,
% 7.74/5.55 (~node4(s142)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9441, 16, 13130])).
% 7.74/5.55 tff(13132,plain,
% 7.74/5.55 (xuntil6(s142) | (~until5(s142))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9482, 352, 13131])).
% 7.74/5.55 tff(13133,plain,
% 7.74/5.55 (~until5(s142)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13132, 13129])).
% 7.74/5.55 tff(13134,plain,
% 7.74/5.55 (~xuntil6(s141)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9432, 13133])).
% 7.74/5.55 tff(13135,plain,
% 7.74/5.55 (~always3(s141)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9397, 13130])).
% 7.74/5.55 tff(13136,plain,
% 7.74/5.55 (~node4(s141)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9385, 16, 13135])).
% 7.74/5.55 tff(13137,plain,
% 7.74/5.55 (xuntil6(s141) | (~until5(s141))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9426, 352, 13136])).
% 7.74/5.55 tff(13138,plain,
% 7.74/5.55 (~until5(s141)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13137, 13134])).
% 7.74/5.55 tff(13139,plain,
% 7.74/5.55 (~xuntil6(s140)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9376, 13138])).
% 7.74/5.55 tff(13140,plain,
% 7.74/5.55 (~always3(s140)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9341, 13135])).
% 7.74/5.55 tff(13141,plain,
% 7.74/5.55 (~node4(s140)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9329, 16, 13140])).
% 7.74/5.55 tff(13142,plain,
% 7.74/5.55 (xuntil6(s140) | (~until5(s140))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9370, 352, 13141])).
% 7.74/5.55 tff(13143,plain,
% 7.74/5.55 (~until5(s140)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13142, 13139])).
% 7.74/5.55 tff(13144,plain,
% 7.74/5.55 (~xuntil6(s139)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9320, 13143])).
% 7.74/5.55 tff(13145,plain,
% 7.74/5.55 (~always3(s139)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9285, 13140])).
% 7.74/5.55 tff(13146,plain,
% 7.74/5.55 (~node4(s139)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9273, 16, 13145])).
% 7.74/5.55 tff(13147,plain,
% 7.74/5.55 (xuntil6(s139) | (~until5(s139))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9314, 352, 13146])).
% 7.74/5.55 tff(13148,plain,
% 7.74/5.55 (~until5(s139)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13147, 13144])).
% 7.74/5.55 tff(13149,plain,
% 7.74/5.55 (~xuntil6(s138)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9264, 13148])).
% 7.74/5.55 tff(13150,plain,
% 7.74/5.55 (~always3(s138)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9229, 13145])).
% 7.74/5.55 tff(13151,plain,
% 7.74/5.55 (~node4(s138)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9217, 16, 13150])).
% 7.74/5.55 tff(13152,plain,
% 7.74/5.55 (xuntil6(s138) | (~until5(s138))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9258, 352, 13151])).
% 7.74/5.55 tff(13153,plain,
% 7.74/5.55 (~until5(s138)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13152, 13149])).
% 7.74/5.55 tff(13154,plain,
% 7.74/5.55 (~xuntil6(s137)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9208, 13153])).
% 7.74/5.55 tff(13155,plain,
% 7.74/5.55 (~always3(s137)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9173, 13150])).
% 7.74/5.55 tff(13156,plain,
% 7.74/5.55 (~node4(s137)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9161, 16, 13155])).
% 7.74/5.55 tff(13157,plain,
% 7.74/5.55 (xuntil6(s137) | (~until5(s137))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9202, 352, 13156])).
% 7.74/5.55 tff(13158,plain,
% 7.74/5.55 (~until5(s137)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13157, 13154])).
% 7.74/5.55 tff(13159,plain,
% 7.74/5.55 (~xuntil6(s136)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9152, 13158])).
% 7.74/5.55 tff(13160,plain,
% 7.74/5.55 (~always3(s136)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9100, 13155])).
% 7.74/5.55 tff(13161,plain,
% 7.74/5.55 (~node4(s136)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9088, 16, 13160])).
% 7.74/5.55 tff(13162,plain,
% 7.74/5.55 (xuntil6(s136) | (~until5(s136))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9146, 352, 13161])).
% 7.74/5.55 tff(13163,plain,
% 7.74/5.55 (~until5(s136)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13162, 13159])).
% 7.74/5.55 tff(13164,plain,
% 7.74/5.55 (~xuntil6(s135)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9079, 13163])).
% 7.74/5.55 tff(13165,plain,
% 7.74/5.55 (~always3(s135)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9044, 13160])).
% 7.74/5.55 tff(13166,plain,
% 7.74/5.55 (~node4(s135)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9032, 16, 13165])).
% 7.74/5.55 tff(13167,plain,
% 7.74/5.55 (xuntil6(s135) | (~until5(s135))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9073, 352, 13166])).
% 7.74/5.55 tff(13168,plain,
% 7.74/5.55 (~until5(s135)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13167, 13164])).
% 7.74/5.55 tff(13169,plain,
% 7.74/5.55 (~xuntil6(s134)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9023, 13168])).
% 7.74/5.55 tff(13170,plain,
% 7.74/5.55 (~always3(s134)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8988, 13165])).
% 7.74/5.55 tff(13171,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[8976, 16, 13170])).
% 7.74/5.55 tff(13172,plain,
% 7.74/5.55 (xuntil6(s134) | (~until5(s134))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9017, 352, 13171])).
% 7.74/5.55 tff(13173,plain,
% 7.74/5.55 (~until5(s134)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13172, 13169])).
% 7.74/5.55 tff(13174,plain,
% 7.74/5.55 (~xuntil6(s133)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8967, 13173])).
% 7.74/5.55 tff(13175,plain,
% 7.74/5.55 (~until5(s133)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8962, 13174])).
% 7.74/5.55 tff(13176,plain,
% 7.74/5.55 (~xuntil6(s132)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8911, 13175])).
% 7.74/5.55 tff(13177,plain,
% 7.74/5.55 (~always3(s133)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8932, 13170])).
% 7.74/5.55 tff(13178,plain,
% 7.74/5.55 (~always3(s132)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8876, 13177])).
% 7.74/5.55 tff(13179,plain,
% 7.74/5.55 (~node4(s132)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8864, 16, 13178])).
% 7.74/5.55 tff(13180,plain,
% 7.74/5.55 (xuntil6(s132) | (~until5(s132))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8905, 352, 13179])).
% 7.74/5.55 tff(13181,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[13180, 13176])).
% 7.74/5.55 tff(13182,plain,
% 7.74/5.55 (~xuntil6(s131)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8855, 13181])).
% 7.74/5.55 tff(13183,plain,
% 7.74/5.55 (~always3(s131)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8820, 13178])).
% 7.74/5.55 tff(13184,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[8808, 16, 13183])).
% 7.74/5.55 tff(13185,plain,
% 7.74/5.55 (xuntil6(s131) | (~until5(s131))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8849, 352, 13184])).
% 7.74/5.55 tff(13186,plain,
% 7.74/5.55 (~until5(s131)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13185, 13182])).
% 7.74/5.55 tff(13187,plain,
% 7.74/5.55 (~xuntil6(s130)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8799, 13186])).
% 7.74/5.55 tff(13188,plain,
% 7.74/5.55 (~always3(s130)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8764, 13183])).
% 7.74/5.55 tff(13189,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[8752, 16, 13188])).
% 7.74/5.55 tff(13190,plain,
% 7.74/5.55 (xuntil6(s130) | (~until5(s130))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8793, 352, 13189])).
% 7.74/5.55 tff(13191,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[13190, 13187])).
% 7.74/5.55 tff(13192,plain,
% 7.74/5.55 (~xuntil6(s129)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8743, 13191])).
% 7.74/5.55 tff(13193,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[8708, 13188])).
% 7.74/5.55 tff(13194,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[8696, 16, 13193])).
% 7.74/5.55 tff(13195,plain,
% 7.74/5.55 (xuntil6(s129) | (~until5(s129))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8737, 352, 13194])).
% 7.74/5.55 tff(13196,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[13195, 13192])).
% 7.74/5.55 tff(13197,plain,
% 7.74/5.55 (~xuntil6(s128)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8687, 13196])).
% 7.74/5.55 tff(13198,plain,
% 7.74/5.55 (~always3(s128)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8652, 13193])).
% 7.74/5.55 tff(13199,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[8640, 16, 13198])).
% 7.74/5.55 tff(13200,plain,
% 7.74/5.55 (xuntil6(s128) | (~until5(s128))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8681, 352, 13199])).
% 7.74/5.55 tff(13201,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[13200, 13197])).
% 7.74/5.55 tff(13202,plain,
% 7.74/5.55 (~xuntil6(s127)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8631, 13201])).
% 7.74/5.55 tff(13203,plain,
% 7.74/5.55 (~always3(s127)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8596, 13198])).
% 7.74/5.55 tff(13204,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[8584, 16, 13203])).
% 7.74/5.55 tff(13205,plain,
% 7.74/5.55 (xuntil6(s127) | (~until5(s127))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8625, 352, 13204])).
% 7.74/5.55 tff(13206,plain,
% 7.74/5.55 (~until5(s127)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13205, 13202])).
% 7.74/5.55 tff(13207,plain,
% 7.74/5.55 (~xuntil6(s126)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8575, 13206])).
% 7.74/5.55 tff(13208,plain,
% 7.74/5.55 (~always3(s126)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8540, 13203])).
% 7.74/5.55 tff(13209,plain,
% 7.74/5.55 (~node4(s126)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8528, 16, 13208])).
% 7.74/5.55 tff(13210,plain,
% 7.74/5.55 (xuntil6(s126) | (~until5(s126))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8569, 352, 13209])).
% 7.74/5.55 tff(13211,plain,
% 7.74/5.55 (~until5(s126)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13210, 13207])).
% 7.74/5.55 tff(13212,plain,
% 7.74/5.55 (~xuntil6(s125)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8519, 13211])).
% 7.74/5.55 tff(13213,plain,
% 7.74/5.55 (~always3(s125)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8484, 13208])).
% 7.74/5.55 tff(13214,plain,
% 7.74/5.55 (~node4(s125)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8472, 16, 13213])).
% 7.74/5.55 tff(13215,plain,
% 7.74/5.55 (xuntil6(s125) | (~until5(s125))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8513, 352, 13214])).
% 7.74/5.55 tff(13216,plain,
% 7.74/5.55 (~until5(s125)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13215, 13212])).
% 7.74/5.55 tff(13217,plain,
% 7.74/5.55 (~xuntil6(s124)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8463, 13216])).
% 7.74/5.55 tff(13218,plain,
% 7.74/5.55 (~always3(s124)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8428, 13213])).
% 7.74/5.55 tff(13219,plain,
% 7.74/5.55 (~node4(s124)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8416, 16, 13218])).
% 7.74/5.55 tff(13220,plain,
% 7.74/5.55 (xuntil6(s124) | (~until5(s124))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8457, 352, 13219])).
% 7.74/5.55 tff(13221,plain,
% 7.74/5.55 (~until5(s124)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13220, 13217])).
% 7.74/5.55 tff(13222,plain,
% 7.74/5.55 (~xuntil6(s123)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8407, 13221])).
% 7.74/5.55 tff(13223,plain,
% 7.74/5.55 (~always3(s123)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8372, 13218])).
% 7.74/5.55 tff(13224,plain,
% 7.74/5.55 (~node4(s123)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8360, 16, 13223])).
% 7.74/5.55 tff(13225,plain,
% 7.74/5.55 (xuntil6(s123) | (~until5(s123))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8401, 352, 13224])).
% 7.74/5.55 tff(13226,plain,
% 7.74/5.55 (~until5(s123)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13225, 13222])).
% 7.74/5.55 tff(13227,plain,
% 7.74/5.55 (~xuntil6(s122)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8351, 13226])).
% 7.74/5.55 tff(13228,plain,
% 7.74/5.55 (~always3(s122)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8316, 13223])).
% 7.74/5.55 tff(13229,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[8260, 13228])).
% 7.74/5.55 tff(13230,plain,
% 7.74/5.55 (~always3(s120)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8204, 13229])).
% 7.74/5.55 tff(13231,plain,
% 7.74/5.55 (~always3(s119)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8148, 13230])).
% 7.74/5.55 tff(13232,plain,
% 7.74/5.55 (~always3(s118)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8092, 13231])).
% 7.74/5.55 tff(13233,plain,
% 7.74/5.55 (~always3(s117)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8036, 13232])).
% 7.74/5.55 tff(13234,plain,
% 7.74/5.55 (~always3(s116)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7980, 13233])).
% 7.74/5.55 tff(13235,plain,
% 7.74/5.55 (~always3(s115)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7924, 13234])).
% 7.74/5.55 tff(13236,plain,
% 7.74/5.55 (~always3(s114)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7868, 13235])).
% 7.74/5.55 tff(13237,plain,
% 7.74/5.55 (~always3(s113)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7812, 13236])).
% 7.74/5.55 tff(13238,plain,
% 7.74/5.55 (~always3(s112)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7739, 13237])).
% 7.74/5.55 tff(13239,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[7673, 13238])).
% 7.74/5.55 tff(13240,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[7617, 13239])).
% 7.74/5.55 tff(13241,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[7561, 13240])).
% 7.74/5.55 tff(13242,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[7505, 13241])).
% 7.74/5.55 tff(13243,plain,
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% 7.74/5.55 inference(unit_resolution,[status(thm)],[7449, 13242])).
% 7.74/5.55 tff(13244,plain,
% 7.74/5.55 (~always3(s106)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7393, 13243])).
% 7.74/5.55 tff(13245,plain,
% 7.74/5.55 (~always3(s105)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7337, 13244])).
% 7.74/5.55 tff(13246,plain,
% 7.74/5.55 (~always3(s104)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7250, 13245])).
% 7.74/5.55 tff(13247,plain,
% 7.74/5.55 (~always3(s103)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7169, 13246])).
% 7.74/5.55 tff(13248,plain,
% 7.74/5.55 (~always3(s102)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7120, 13247])).
% 7.74/5.55 tff(13249,plain,
% 7.74/5.55 (~always3(s101)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7064, 13248])).
% 7.74/5.55 tff(13250,plain,
% 7.74/5.55 (~always3(s100)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7008, 13249])).
% 7.74/5.55 tff(13251,plain,
% 7.74/5.55 (~always3(s99)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6952, 13250])).
% 7.74/5.55 tff(13252,plain,
% 7.74/5.55 (~always3(s98)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6896, 13251])).
% 7.74/5.55 tff(13253,plain,
% 7.74/5.55 (~always3(s97)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6840, 13252])).
% 7.74/5.55 tff(13254,plain,
% 7.74/5.55 (~always3(s96)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6784, 13253])).
% 7.74/5.55 tff(13255,plain,
% 7.74/5.55 (~always3(s95)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6728, 13254])).
% 7.74/5.55 tff(13256,plain,
% 7.74/5.55 (~always3(s94)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6672, 13255])).
% 7.74/5.55 tff(13257,plain,
% 7.74/5.55 (~node4(s94)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6639, 16, 13256])).
% 7.74/5.55 tff(13258,plain,
% 7.74/5.55 (~always3(s93)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6598, 13256])).
% 7.74/5.55 tff(13259,plain,
% 7.74/5.55 (~always3(s92)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6158, 13258])).
% 7.74/5.55 tff(13260,plain,
% 7.74/5.55 (~node4(s92)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6146, 16, 13259])).
% 7.74/5.55 tff(13261,assumption,(until5(s92)), introduced(assumption)).
% 7.74/5.55 tff(13262,plain,
% 7.74/5.55 (xuntil6(s92) | node4(s92)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6201, 352, 13261])).
% 7.74/5.55 tff(13263,plain,
% 7.74/5.55 (xuntil6(s92)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13262, 13260])).
% 7.74/5.55 tff(13264,plain,
% 7.74/5.55 (until5(s93)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6577, 13263])).
% 7.74/5.55 tff(13265,plain,
% 7.74/5.55 (xuntil6(s93)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6628, 13264])).
% 7.74/5.55 tff(13266,plain,
% 7.74/5.55 (until5(s94)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6633, 13265])).
% 7.74/5.55 tff(13267,plain,
% 7.74/5.55 (xuntil6(s94)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6646, 352, 13266, 13257])).
% 7.74/5.55 tff(13268,plain,
% 7.74/5.55 (until5(s95)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6707, 13267])).
% 7.74/5.55 tff(13269,plain,
% 7.74/5.55 (xuntil6(s95)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6758, 13268])).
% 7.74/5.55 tff(13270,plain,
% 7.74/5.55 (until5(s96)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6763, 13269])).
% 7.74/5.55 tff(13271,plain,
% 7.74/5.55 (xuntil6(s96)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6814, 13270])).
% 7.74/5.55 tff(13272,plain,
% 7.74/5.55 (until5(s97)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6819, 13271])).
% 7.74/5.55 tff(13273,plain,
% 7.74/5.55 (xuntil6(s97)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6870, 13272])).
% 7.74/5.55 tff(13274,plain,
% 7.74/5.55 (until5(s98)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6875, 13273])).
% 7.74/5.55 tff(13275,plain,
% 7.74/5.55 (xuntil6(s98)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6926, 13274])).
% 7.74/5.55 tff(13276,plain,
% 7.74/5.55 (until5(s99)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6931, 13275])).
% 7.74/5.55 tff(13277,plain,
% 7.74/5.55 (xuntil6(s99)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6982, 13276])).
% 7.74/5.55 tff(13278,plain,
% 7.74/5.55 (until5(s100)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[6987, 13277])).
% 7.74/5.55 tff(13279,plain,
% 7.74/5.55 (xuntil6(s100)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7038, 13278])).
% 7.74/5.55 tff(13280,plain,
% 7.74/5.55 (until5(s101)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7043, 13279])).
% 7.74/5.55 tff(13281,plain,
% 7.74/5.55 (~node4(s101)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7052, 16, 13249])).
% 7.74/5.55 tff(13282,plain,
% 7.74/5.55 (xuntil6(s101) | (~until5(s101))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7093, 352, 13281])).
% 7.74/5.55 tff(13283,plain,
% 7.74/5.55 (xuntil6(s101)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13282, 13280])).
% 7.74/5.55 tff(13284,plain,
% 7.74/5.55 (until5(s102)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7099, 13283])).
% 7.74/5.55 tff(13285,plain,
% 7.74/5.55 (~node4(s102)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7108, 16, 13248])).
% 7.74/5.55 tff(13286,plain,
% 7.74/5.55 (xuntil6(s102) | (~until5(s102))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7149, 352, 13285])).
% 7.74/5.55 tff(13287,plain,
% 7.74/5.55 (xuntil6(s102)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13286, 13284])).
% 7.74/5.55 tff(13288,plain,
% 7.74/5.55 (until5(s103)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7155, 13287])).
% 7.74/5.55 tff(13289,plain,
% 7.74/5.55 (~node4(s103)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7173, 16, 13247])).
% 7.74/5.55 tff(13290,plain,
% 7.74/5.55 (xuntil6(s103) | (~until5(s103))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7197, 352, 13289])).
% 7.74/5.55 tff(13291,plain,
% 7.74/5.55 (xuntil6(s103)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13290, 13288])).
% 7.74/5.55 tff(13292,plain,
% 7.74/5.55 (until5(s104)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7190, 13291])).
% 7.74/5.55 tff(13293,plain,
% 7.74/5.55 (~node4(s104)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7177, 16, 13246])).
% 7.74/5.55 tff(13294,plain,
% 7.74/5.55 (xuntil6(s104) | (~until5(s104))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7184, 352, 13293])).
% 7.74/5.55 tff(13295,plain,
% 7.74/5.55 (xuntil6(s104)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13294, 13292])).
% 7.74/5.55 tff(13296,plain,
% 7.74/5.55 (until5(s105)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7316, 13295])).
% 7.74/5.55 tff(13297,plain,
% 7.74/5.55 (~node4(s105)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7325, 16, 13245])).
% 7.74/5.55 tff(13298,plain,
% 7.74/5.55 (xuntil6(s105) | (~until5(s105))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7366, 352, 13297])).
% 7.74/5.55 tff(13299,plain,
% 7.74/5.55 (xuntil6(s105)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13298, 13296])).
% 7.74/5.55 tff(13300,plain,
% 7.74/5.55 (until5(s106)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7372, 13299])).
% 7.74/5.55 tff(13301,plain,
% 7.74/5.55 (xuntil6(s106)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7423, 13300])).
% 7.74/5.55 tff(13302,plain,
% 7.74/5.55 (until5(s107)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7428, 13301])).
% 7.74/5.55 tff(13303,plain,
% 7.74/5.55 (xuntil6(s107)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7479, 13302])).
% 7.74/5.55 tff(13304,plain,
% 7.74/5.55 (until5(s108)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7484, 13303])).
% 7.74/5.55 tff(13305,plain,
% 7.74/5.55 (~node4(s108)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7493, 16, 13242])).
% 7.74/5.55 tff(13306,plain,
% 7.74/5.55 (xuntil6(s108) | (~until5(s108))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7534, 352, 13305])).
% 7.74/5.55 tff(13307,plain,
% 7.74/5.55 (xuntil6(s108)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13306, 13304])).
% 7.74/5.55 tff(13308,plain,
% 7.74/5.55 (until5(s109)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7540, 13307])).
% 7.74/5.55 tff(13309,plain,
% 7.74/5.55 (~node4(s109)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7549, 16, 13241])).
% 7.74/5.55 tff(13310,plain,
% 7.74/5.55 (xuntil6(s109) | (~until5(s109))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7590, 352, 13309])).
% 7.74/5.55 tff(13311,plain,
% 7.74/5.55 (xuntil6(s109)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13310, 13308])).
% 7.74/5.55 tff(13312,plain,
% 7.74/5.55 (until5(s110)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7596, 13311])).
% 7.74/5.55 tff(13313,plain,
% 7.74/5.55 (~node4(s110)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7605, 16, 13240])).
% 7.74/5.55 tff(13314,plain,
% 7.74/5.55 (xuntil6(s110) | (~until5(s110))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7646, 352, 13313])).
% 7.74/5.55 tff(13315,plain,
% 7.74/5.55 (xuntil6(s110)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13314, 13312])).
% 7.74/5.55 tff(13316,plain,
% 7.74/5.55 (until5(s111)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7652, 13315])).
% 7.74/5.55 tff(13317,plain,
% 7.74/5.55 (~node4(s111)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7661, 16, 13239])).
% 7.74/5.55 tff(13318,plain,
% 7.74/5.55 (xuntil6(s111) | (~until5(s111))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7702, 352, 13317])).
% 7.74/5.55 tff(13319,plain,
% 7.74/5.55 (xuntil6(s111)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13318, 13316])).
% 7.74/5.55 tff(13320,plain,
% 7.74/5.55 (until5(s112)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7708, 13319])).
% 7.74/5.55 tff(13321,plain,
% 7.74/5.55 (~node4(s112)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7734, 16, 13238])).
% 7.74/5.55 tff(13322,plain,
% 7.74/5.55 (xuntil6(s112) | (~until5(s112))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7785, 352, 13321])).
% 7.74/5.55 tff(13323,plain,
% 7.74/5.55 (xuntil6(s112)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13322, 13320])).
% 7.74/5.55 tff(13324,plain,
% 7.74/5.55 (until5(s113)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7791, 13323])).
% 7.74/5.55 tff(13325,plain,
% 7.74/5.55 (xuntil6(s113)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7842, 13324])).
% 7.74/5.55 tff(13326,plain,
% 7.74/5.55 (until5(s114)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7847, 13325])).
% 7.74/5.55 tff(13327,plain,
% 7.74/5.55 (xuntil6(s114)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7898, 13326])).
% 7.74/5.55 tff(13328,plain,
% 7.74/5.55 (until5(s115)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7903, 13327])).
% 7.74/5.55 tff(13329,plain,
% 7.74/5.55 (xuntil6(s115)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7954, 13328])).
% 7.74/5.55 tff(13330,plain,
% 7.74/5.55 (until5(s116)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7959, 13329])).
% 7.74/5.55 tff(13331,plain,
% 7.74/5.55 (~node4(s116)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[7968, 16, 13234])).
% 7.74/5.55 tff(13332,plain,
% 7.74/5.55 (xuntil6(s116) | (~until5(s116))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8009, 352, 13331])).
% 7.74/5.55 tff(13333,plain,
% 7.74/5.55 (xuntil6(s116)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13332, 13330])).
% 7.74/5.55 tff(13334,plain,
% 7.74/5.55 (until5(s117)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8015, 13333])).
% 7.74/5.55 tff(13335,plain,
% 7.74/5.55 (~node4(s117)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8024, 16, 13233])).
% 7.74/5.55 tff(13336,plain,
% 7.74/5.55 (xuntil6(s117) | (~until5(s117))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8065, 352, 13335])).
% 7.74/5.55 tff(13337,plain,
% 7.74/5.55 (xuntil6(s117)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13336, 13334])).
% 7.74/5.55 tff(13338,plain,
% 7.74/5.55 (until5(s118)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8071, 13337])).
% 7.74/5.55 tff(13339,plain,
% 7.74/5.55 (~node4(s118)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8080, 16, 13232])).
% 7.74/5.55 tff(13340,plain,
% 7.74/5.55 (xuntil6(s118) | (~until5(s118))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8121, 352, 13339])).
% 7.74/5.55 tff(13341,plain,
% 7.74/5.55 (xuntil6(s118)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13340, 13338])).
% 7.74/5.55 tff(13342,plain,
% 7.74/5.55 (until5(s119)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8127, 13341])).
% 7.74/5.55 tff(13343,plain,
% 7.74/5.55 (~node4(s119)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8136, 16, 13231])).
% 7.74/5.55 tff(13344,plain,
% 7.74/5.55 (xuntil6(s119) | (~until5(s119))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8177, 352, 13343])).
% 7.74/5.55 tff(13345,plain,
% 7.74/5.55 (xuntil6(s119)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13344, 13342])).
% 7.74/5.55 tff(13346,plain,
% 7.74/5.55 (until5(s120)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8183, 13345])).
% 7.74/5.55 tff(13347,plain,
% 7.74/5.55 (~node4(s120)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8192, 16, 13230])).
% 7.74/5.55 tff(13348,plain,
% 7.74/5.55 (xuntil6(s120) | (~until5(s120))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8233, 352, 13347])).
% 7.74/5.55 tff(13349,plain,
% 7.74/5.55 (xuntil6(s120)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13348, 13346])).
% 7.74/5.55 tff(13350,plain,
% 7.74/5.55 (until5(s121)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8239, 13349])).
% 7.74/5.55 tff(13351,plain,
% 7.74/5.55 (~node4(s121)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8248, 16, 13229])).
% 7.74/5.55 tff(13352,plain,
% 7.74/5.55 (xuntil6(s121) | (~until5(s121))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8289, 352, 13351])).
% 7.74/5.55 tff(13353,plain,
% 7.74/5.55 (xuntil6(s121)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13352, 13350])).
% 7.74/5.55 tff(13354,plain,
% 7.74/5.55 (until5(s122)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8295, 13353])).
% 7.74/5.55 tff(13355,plain,
% 7.74/5.55 (~node4(s122)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8304, 16, 13228])).
% 7.74/5.55 tff(13356,plain,
% 7.74/5.55 (xuntil6(s122) | (~until5(s122))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[8345, 352, 13355])).
% 7.74/5.55 tff(13357,plain,
% 7.74/5.55 ($false),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13356, 13354, 13227])).
% 7.74/5.55 tff(13358,plain,(always3(s151) | (~until5(s92)) | xuntil6(s151)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.55 tff(13359,plain,
% 7.74/5.55 (xuntil6(s151)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13358, 13084, 13022])).
% 7.74/5.55 tff(13360,plain,
% 7.74/5.55 (until5(s152)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9942, 13359])).
% 7.74/5.55 tff(13361,plain,
% 7.74/5.55 (xuntil6(s152)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9992, 352, 13360, 12995])).
% 7.74/5.55 tff(13362,plain,
% 7.74/5.55 (until5(s153)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[9998, 13361])).
% 7.74/5.55 tff(13363,plain,
% 7.74/5.55 (xuntil6(s153)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10048, 352, 13362, 12994])).
% 7.74/5.55 tff(13364,plain,
% 7.74/5.55 (until5(s154)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10054, 13363])).
% 7.74/5.55 tff(13365,plain,
% 7.74/5.55 (xuntil6(s154)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10105, 13364])).
% 7.74/5.55 tff(13366,plain,
% 7.74/5.55 (until5(s155)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10110, 13365])).
% 7.74/5.55 tff(13367,assumption,(~node4(s155)), introduced(assumption)).
% 7.74/5.55 tff(13368,plain,
% 7.74/5.55 (xuntil6(s155) | (~until5(s155))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10160, 352, 13367])).
% 7.74/5.55 tff(13369,plain,
% 7.74/5.55 (xuntil6(s155)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13368, 13366])).
% 7.74/5.55 tff(13370,plain,
% 7.74/5.55 (until5(s156)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10166, 13369])).
% 7.74/5.55 tff(13371,assumption,(~node4(s156)), introduced(assumption)).
% 7.74/5.55 tff(13372,plain,
% 7.74/5.55 (xuntil6(s156) | (~until5(s156))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10216, 352, 13371])).
% 7.74/5.55 tff(13373,plain,
% 7.74/5.55 (xuntil6(s156)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13372, 13370])).
% 7.74/5.55 tff(13374,plain,
% 7.74/5.55 (until5(s157)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10222, 13373])).
% 7.74/5.55 tff(13375,assumption,(~node4(s157)), introduced(assumption)).
% 7.74/5.55 tff(13376,plain,
% 7.74/5.55 (xuntil6(s157) | (~until5(s157))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10272, 352, 13375])).
% 7.74/5.55 tff(13377,plain,
% 7.74/5.55 (xuntil6(s157)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13376, 13374])).
% 7.74/5.55 tff(13378,plain,
% 7.74/5.55 (until5(s158)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10278, 13377])).
% 7.74/5.55 tff(13379,plain,
% 7.74/5.55 (~node4(s158)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10287, 16, 13015])).
% 7.74/5.55 tff(13380,plain,
% 7.74/5.55 (xuntil6(s158) | (~until5(s158))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10328, 352, 13379])).
% 7.74/5.55 tff(13381,plain,
% 7.74/5.55 (xuntil6(s158)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13380, 13378])).
% 7.74/5.55 tff(13382,plain,
% 7.74/5.55 (until5(s159)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10334, 13381])).
% 7.74/5.55 tff(13383,plain,
% 7.74/5.55 (~node4(s159)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10343, 16, 13014])).
% 7.74/5.55 tff(13384,plain,
% 7.74/5.55 (xuntil6(s159) | (~until5(s159))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10384, 352, 13383])).
% 7.74/5.55 tff(13385,plain,
% 7.74/5.55 (xuntil6(s159)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13384, 13382])).
% 7.74/5.55 tff(13386,plain,
% 7.74/5.55 (until5(s160)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10390, 13385])).
% 7.74/5.55 tff(13387,plain,
% 7.74/5.55 (xuntil6(s160)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10441, 13386])).
% 7.74/5.55 tff(13388,plain,
% 7.74/5.55 (until5(s161)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10446, 13387])).
% 7.74/5.55 tff(13389,assumption,(~node4(s161)), introduced(assumption)).
% 7.74/5.55 tff(13390,plain,
% 7.74/5.55 (xuntil6(s161) | (~until5(s161))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10499, 352, 13389])).
% 7.74/5.55 tff(13391,plain,
% 7.74/5.55 (xuntil6(s161)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13390, 13388])).
% 7.74/5.55 tff(13392,plain,
% 7.74/5.55 (until5(s162)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10505, 13391])).
% 7.74/5.55 tff(13393,assumption,(~node4(s162)), introduced(assumption)).
% 7.74/5.55 tff(13394,plain,
% 7.74/5.55 (xuntil6(s162) | (~until5(s162))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10555, 352, 13393])).
% 7.74/5.55 tff(13395,plain,
% 7.74/5.55 (xuntil6(s162)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13394, 13392])).
% 7.74/5.55 tff(13396,plain,
% 7.74/5.55 (until5(s163)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10561, 13395])).
% 7.74/5.55 tff(13397,plain,
% 7.74/5.55 (xuntil6(s163)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10612, 13396])).
% 7.74/5.55 tff(13398,plain,
% 7.74/5.55 (until5(s164)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10617, 13397])).
% 7.74/5.55 tff(13399,assumption,(~node4(s164)), introduced(assumption)).
% 7.74/5.55 tff(13400,plain,
% 7.74/5.55 (xuntil6(s164) | (~until5(s164))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10670, 352, 13399])).
% 7.74/5.55 tff(13401,plain,
% 7.74/5.55 (xuntil6(s164)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13400, 13398])).
% 7.74/5.55 tff(13402,plain,
% 7.74/5.55 (until5(s165)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10676, 13401])).
% 7.74/5.55 tff(13403,assumption,(~node4(s165)), introduced(assumption)).
% 7.74/5.55 tff(13404,plain,
% 7.74/5.55 (xuntil6(s165) | (~until5(s165))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10726, 352, 13403])).
% 7.74/5.55 tff(13405,plain,
% 7.74/5.55 (xuntil6(s165)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13404, 13402])).
% 7.74/5.55 tff(13406,plain,
% 7.74/5.55 (until5(s166)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10732, 13405])).
% 7.74/5.55 tff(13407,assumption,(~node4(s166)), introduced(assumption)).
% 7.74/5.55 tff(13408,plain,
% 7.74/5.55 (xuntil6(s166) | (~until5(s166))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10782, 352, 13407])).
% 7.74/5.55 tff(13409,plain,
% 7.74/5.55 (xuntil6(s166)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13408, 13406])).
% 7.74/5.55 tff(13410,plain,
% 7.74/5.55 (until5(s167)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10788, 13409])).
% 7.74/5.55 tff(13411,plain,
% 7.74/5.55 (~node4(s167)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10797, 16, 13006])).
% 7.74/5.55 tff(13412,plain,
% 7.74/5.55 (xuntil6(s167) | (~until5(s167))),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[10838, 352, 13411])).
% 7.74/5.55 tff(13413,plain,
% 7.74/5.55 ($false),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13412, 13410, 12993])).
% 7.74/5.55 tff(13414,plain,(always3(s184) | node4(s166) | node4(s168) | node4(s165) | node4(s169) | node4(s164) | node4(s170) | node4(s162) | node4(s172) | node4(s161) | node4(s174) | node4(s175) | node4(s176) | node4(s157) | node4(s177) | node4(s156) | node4(s155) | node4(s179) | node4(s180) | node4(s153) | xuntil6(s184) | node4(s152)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.55 tff(13415,plain,
% 7.74/5.55 (always3(s184) | node4(s166) | node4(s168) | node4(s165) | node4(s169) | node4(s164) | node4(s170) | node4(s172) | node4(s161) | node4(s174) | node4(s175) | node4(s176) | node4(s157) | node4(s177) | node4(s156) | node4(s155) | node4(s179) | node4(s180) | node4(s153) | xuntil6(s184) | node4(s152)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13414, 10549])).
% 7.74/5.55 tff(13416,plain,
% 7.74/5.55 (xuntil6(s184)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[13415, 12926, 12875, 12925, 12924, 12923, 12922, 12921, 12920, 12919, 12918, 12917, 12916, 12915, 12914, 12913, 12912, 12911, 12910, 12909, 12908])).
% 7.74/5.55 tff(13417,plain,
% 7.74/5.55 (until5(s185)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11823, 13416])).
% 7.74/5.55 tff(13418,plain,
% 7.74/5.55 (xuntil6(s185)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11874, 13417])).
% 7.74/5.55 tff(13419,plain,
% 7.74/5.55 (until5(s186)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11879, 13418])).
% 7.74/5.55 tff(13420,plain,
% 7.74/5.55 (xuntil6(s186)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11930, 13419])).
% 7.74/5.55 tff(13421,plain,
% 7.74/5.55 (until5(s187)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11935, 13420])).
% 7.74/5.55 tff(13422,plain,
% 7.74/5.55 (xuntil6(s187)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11986, 13421])).
% 7.74/5.55 tff(13423,plain,
% 7.74/5.55 (until5(s188)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[11991, 13422])).
% 7.74/5.55 tff(13424,plain,
% 7.74/5.55 (xuntil6(s188)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12042, 13423])).
% 7.74/5.55 tff(13425,plain,
% 7.74/5.55 (until5(s189)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12047, 13424])).
% 7.74/5.55 tff(13426,plain,
% 7.74/5.55 (xuntil6(s189)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12098, 13425])).
% 7.74/5.55 tff(13427,plain,
% 7.74/5.55 (until5(s190)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12103, 13426])).
% 7.74/5.55 tff(13428,plain,
% 7.74/5.55 (xuntil6(s190)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12154, 13427])).
% 7.74/5.55 tff(13429,plain,
% 7.74/5.55 (until5(s191)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12159, 13428])).
% 7.74/5.55 tff(13430,plain,
% 7.74/5.55 (xuntil6(s191)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12210, 13429])).
% 7.74/5.55 tff(13431,plain,
% 7.74/5.55 (until5(s192)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12215, 13430])).
% 7.74/5.55 tff(13432,plain,
% 7.74/5.55 (xuntil6(s192)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12266, 13431])).
% 7.74/5.55 tff(13433,plain,
% 7.74/5.55 (until5(s193)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12271, 13432])).
% 7.74/5.55 tff(13434,plain,
% 7.74/5.55 (xuntil6(s193)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12322, 13433])).
% 7.74/5.55 tff(13435,plain,
% 7.74/5.55 (until5(s194)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12327, 13434])).
% 7.74/5.55 tff(13436,plain,
% 7.74/5.55 (xuntil6(s194)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12378, 13435])).
% 7.74/5.55 tff(13437,plain,
% 7.74/5.55 (until5(s195)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12383, 13436])).
% 7.74/5.55 tff(13438,plain,
% 7.74/5.55 (xuntil6(s195)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12434, 13437])).
% 7.74/5.55 tff(13439,plain,
% 7.74/5.55 (until5(s196)),
% 7.74/5.55 inference(unit_resolution,[status(thm)],[12439, 13438])).
% 7.74/5.55 tff(13440,plain,
% 7.74/5.55 (((~![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)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13441,plain,
% 7.74/5.56 ((node4(s196) | (~until5(s196)) | xuntil6(s196)) <=> (xuntil6(s196) | node4(s196) | (~until5(s196)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13442,plain,
% 7.74/5.56 (((~![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))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13441])).
% 7.74/5.56 tff(13443,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13442, 13440])).
% 7.74/5.56 tff(13444,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s196) | (~until5(s196)) | xuntil6(s196))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13445,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s196) | node4(s196) | (~until5(s196))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13444, 13443])).
% 7.74/5.56 tff(13446,plain,
% 7.74/5.56 (xuntil6(s196)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13445, 352, 13439, 12863])).
% 7.74/5.56 tff(13447,plain,
% 7.74/5.56 (succ(s196, s197) <=> succ(s196, s197)),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13448,axiom,(succ(s196, s197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound197')).
% 7.74/5.56 tff(13449,plain,
% 7.74/5.56 (succ(s196, s197)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13448, 13447])).
% 7.74/5.56 tff(13450,plain,
% 7.74/5.56 (((~![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))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13451,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13452,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13451, 13450])).
% 7.74/5.56 tff(13453,plain,
% 7.74/5.56 ((~xuntil6(s196)) | until5(s197)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13452, 13449, 370])).
% 7.74/5.56 tff(13454,plain,
% 7.74/5.56 (until5(s197)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13453, 13446])).
% 7.74/5.56 tff(13455,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13456,plain,
% 7.74/5.56 ((node4(s197) | (~until5(s197)) | xuntil6(s197)) <=> (xuntil6(s197) | node4(s197) | (~until5(s197)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13457,plain,
% 7.74/5.56 (((~![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))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13456])).
% 7.74/5.56 tff(13458,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13457, 13455])).
% 7.74/5.56 tff(13459,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s197) | (~until5(s197)) | xuntil6(s197))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13460,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s197) | node4(s197) | (~until5(s197))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13459, 13458])).
% 7.74/5.56 tff(13461,plain,
% 7.74/5.56 (xuntil6(s197)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13460, 352, 13454, 12849])).
% 7.74/5.56 tff(13462,plain,
% 7.74/5.56 (((~![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))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13463,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13464,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13463, 13462])).
% 7.74/5.56 tff(13465,plain,
% 7.74/5.56 ((~xuntil6(s197)) | until5(s198)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13464, 12584, 370])).
% 7.74/5.56 tff(13466,plain,
% 7.74/5.56 (until5(s198)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13465, 13461])).
% 7.74/5.56 tff(13467,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13468,plain,
% 7.74/5.56 ((node4(s198) | (~until5(s198)) | xuntil6(s198)) <=> (xuntil6(s198) | node4(s198) | (~until5(s198)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13469,plain,
% 7.74/5.56 (((~![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))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13468])).
% 7.74/5.56 tff(13470,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13469, 13467])).
% 7.74/5.56 tff(13471,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s198) | (~until5(s198)) | xuntil6(s198))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13472,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s198) | node4(s198) | (~until5(s198))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13471, 13470])).
% 7.74/5.56 tff(13473,plain,
% 7.74/5.56 (xuntil6(s198)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13472, 352, 13466, 12853])).
% 7.74/5.56 tff(13474,plain,
% 7.74/5.56 (((~![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))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13475,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13476,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13475, 13474])).
% 7.74/5.56 tff(13477,plain,
% 7.74/5.56 ((~xuntil6(s198)) | until5(s199)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13476, 12780, 370])).
% 7.74/5.56 tff(13478,plain,
% 7.74/5.56 (until5(s199)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13477, 13473])).
% 7.74/5.56 tff(13479,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13480,plain,
% 7.74/5.56 ((node4(s199) | (~until5(s199)) | xuntil6(s199)) <=> (xuntil6(s199) | node4(s199) | (~until5(s199)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13481,plain,
% 7.74/5.56 (((~![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))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13480])).
% 7.74/5.56 tff(13482,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13481, 13479])).
% 7.74/5.56 tff(13483,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s199) | (~until5(s199)) | xuntil6(s199))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13484,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s199) | node4(s199) | (~until5(s199))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13483, 13482])).
% 7.74/5.56 tff(13485,plain,
% 7.74/5.56 (xuntil6(s199)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13484, 352, 13478, 12854])).
% 7.74/5.56 tff(13486,plain,
% 7.74/5.56 (((~![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))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13487,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13488,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13487, 13486])).
% 7.74/5.56 tff(13489,plain,
% 7.74/5.56 ((~xuntil6(s199)) | until5(s200)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13488, 12452, 370])).
% 7.74/5.56 tff(13490,plain,
% 7.74/5.56 (until5(s200)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13489, 13485])).
% 7.74/5.56 tff(13491,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13492,plain,
% 7.74/5.56 ((node4(s200) | (~until5(s200)) | xuntil6(s200)) <=> (xuntil6(s200) | node4(s200) | (~until5(s200)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13493,plain,
% 7.74/5.56 (((~![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))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13492])).
% 7.74/5.56 tff(13494,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13493, 13491])).
% 7.74/5.56 tff(13495,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s200) | (~until5(s200)) | xuntil6(s200))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13496,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s200) | node4(s200) | (~until5(s200))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13495, 13494])).
% 7.74/5.56 tff(13497,plain,
% 7.74/5.56 (xuntil6(s200)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13496, 352, 13490, 12856])).
% 7.74/5.56 tff(13498,assumption,(~always3(s208)), introduced(assumption)).
% 7.74/5.56 tff(13499,plain,
% 7.74/5.56 (~always3(s207)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[12647, 13498])).
% 7.74/5.56 tff(13500,plain,
% 7.74/5.56 (~always3(s206)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[12696, 13499])).
% 7.74/5.56 tff(13501,plain,
% 7.74/5.56 (~always3(s205)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[12831, 13500])).
% 7.74/5.56 tff(13502,plain,
% 7.74/5.56 (~always3(s204)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[12736, 13501])).
% 7.74/5.56 tff(13503,plain,
% 7.74/5.56 (succ(s203, s204) <=> succ(s203, s204)),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13504,axiom,(succ(s203, s204)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound204')).
% 7.74/5.56 tff(13505,plain,
% 7.74/5.56 (succ(s203, s204)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13504, 13503])).
% 7.74/5.56 tff(13506,plain,
% 7.74/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s203, s204)) | trans(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s203, s204)) | trans(s203, s204))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13507,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s203, s204)) | trans(s203, s204))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13508,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s203, s204)) | trans(s203, s204)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13507, 13506])).
% 7.74/5.56 tff(13509,plain,
% 7.74/5.56 (trans(s203, s204)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13508, 13505, 39])).
% 7.74/5.56 tff(13510,plain,
% 7.74/5.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s203, s204)) | (~always3(s203)) | always3(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s203, s204)) | (~always3(s203)) | always3(s204))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13511,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s203, s204)) | (~always3(s203)) | always3(s204))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13512,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s203, s204)) | (~always3(s203)) | always3(s204)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13511, 13510])).
% 7.74/5.56 tff(13513,plain,
% 7.74/5.56 ((~always3(s203)) | always3(s204)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13512, 112, 13509])).
% 7.74/5.56 tff(13514,plain,
% 7.74/5.56 (~always3(s203)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13513, 13502])).
% 7.74/5.56 tff(13515,plain,
% 7.74/5.56 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s203) | (~node4(s203)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s203) | (~node4(s203)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13516,plain,
% 7.74/5.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s203) | (~node4(s203)))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13517,plain,
% 7.74/5.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s203) | (~node4(s203))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13516, 13515])).
% 7.74/5.56 tff(13518,plain,
% 7.74/5.56 (~node4(s203)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13517, 16, 13514])).
% 7.74/5.56 tff(13519,plain,
% 7.74/5.56 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s208) | (~node4(s208)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s208) | (~node4(s208)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13520,plain,
% 7.74/5.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s208) | (~node4(s208)))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13521,plain,
% 7.74/5.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s208) | (~node4(s208))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13520, 13519])).
% 7.74/5.56 tff(13522,plain,
% 7.74/5.56 (~node4(s208)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13521, 16, 13498])).
% 7.74/5.56 tff(13523,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13524,plain,
% 7.74/5.56 ((node4(s208) | (~until5(s208)) | xuntil6(s208)) <=> (xuntil6(s208) | node4(s208) | (~until5(s208)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13525,plain,
% 7.74/5.56 (((~![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))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13524])).
% 7.74/5.56 tff(13526,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13525, 13523])).
% 7.74/5.56 tff(13527,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s208) | (~until5(s208)) | xuntil6(s208))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13528,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s208) | node4(s208) | (~until5(s208))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13527, 13526])).
% 7.74/5.56 tff(13529,plain,
% 7.74/5.56 (node4(s208) | (~until5(s208))),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13528, 352, 12850])).
% 7.74/5.56 tff(13530,plain,
% 7.74/5.56 (~until5(s208)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13529, 13522])).
% 7.74/5.56 tff(13531,plain,
% 7.74/5.56 (((~![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))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13532,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13533,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13532, 13531])).
% 7.74/5.56 tff(13534,plain,
% 7.74/5.56 ((~xuntil6(s207)) | until5(s208)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13533, 12639, 370])).
% 7.74/5.56 tff(13535,plain,
% 7.74/5.56 (~xuntil6(s207)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13534, 13530])).
% 7.74/5.56 tff(13536,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13537,plain,
% 7.74/5.56 ((node4(s207) | (~until5(s207)) | xuntil6(s207)) <=> (xuntil6(s207) | node4(s207) | (~until5(s207)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13538,plain,
% 7.74/5.56 (((~![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))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13537])).
% 7.74/5.56 tff(13539,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13538, 13536])).
% 7.74/5.56 tff(13540,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s207) | (~until5(s207)) | xuntil6(s207))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13541,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s207) | node4(s207) | (~until5(s207))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13540, 13539])).
% 7.74/5.56 tff(13542,plain,
% 7.74/5.56 (xuntil6(s207) | (~until5(s207))),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13541, 352, 12851])).
% 7.74/5.56 tff(13543,plain,
% 7.74/5.56 (~until5(s207)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13542, 13535])).
% 7.74/5.56 tff(13544,plain,
% 7.74/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13545,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13546,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13545, 13544])).
% 7.74/5.56 tff(13547,plain,
% 7.74/5.56 ((~xuntil6(s206)) | until5(s207)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13546, 12688, 370])).
% 7.74/5.56 tff(13548,plain,
% 7.74/5.56 (~xuntil6(s206)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13547, 13543])).
% 7.74/5.56 tff(13549,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13550,plain,
% 7.74/5.56 ((node4(s206) | (~until5(s206)) | xuntil6(s206)) <=> (xuntil6(s206) | node4(s206) | (~until5(s206)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13551,plain,
% 7.74/5.56 (((~![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))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13550])).
% 7.74/5.56 tff(13552,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13551, 13549])).
% 7.74/5.56 tff(13553,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s206) | (~until5(s206)) | xuntil6(s206))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13554,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s206) | node4(s206) | (~until5(s206))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13553, 13552])).
% 7.74/5.56 tff(13555,plain,
% 7.74/5.56 (xuntil6(s206) | (~until5(s206))),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13554, 352, 12852])).
% 7.74/5.56 tff(13556,plain,
% 7.74/5.56 (~until5(s206)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13555, 13548])).
% 7.74/5.56 tff(13557,plain,
% 7.74/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13558,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13559,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13558, 13557])).
% 7.74/5.56 tff(13560,plain,
% 7.74/5.56 ((~xuntil6(s205)) | until5(s206)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13559, 12823, 370])).
% 7.74/5.56 tff(13561,plain,
% 7.74/5.56 (~xuntil6(s205)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13560, 13556])).
% 7.74/5.56 tff(13562,plain,
% 7.74/5.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s205) | node4(s205) | (~until5(s205)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s205) | node4(s205) | (~until5(s205)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13563,plain,
% 7.74/5.56 ((node4(s205) | (~until5(s205)) | xuntil6(s205)) <=> (xuntil6(s205) | node4(s205) | (~until5(s205)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13564,plain,
% 7.74/5.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s205) | (~until5(s205)) | xuntil6(s205))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s205) | node4(s205) | (~until5(s205))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13563])).
% 7.74/5.56 tff(13565,plain,
% 7.74/5.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s205) | (~until5(s205)) | xuntil6(s205))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s205) | node4(s205) | (~until5(s205)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13564, 13562])).
% 7.74/5.56 tff(13566,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s205) | (~until5(s205)) | xuntil6(s205))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13567,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s205) | node4(s205) | (~until5(s205))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 7.74/5.56 tff(13568,plain,
% 7.74/5.56 (xuntil6(s205) | (~until5(s205))),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13567, 352, 12858])).
% 7.74/5.56 tff(13569,plain,
% 7.74/5.56 (~until5(s205)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13568, 13561])).
% 7.74/5.56 tff(13570,plain,
% 7.74/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13571,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13572,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13571, 13570])).
% 7.74/5.56 tff(13573,plain,
% 7.74/5.56 ((~xuntil6(s204)) | until5(s205)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13572, 12728, 370])).
% 7.74/5.56 tff(13574,plain,
% 7.74/5.56 (~xuntil6(s204)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13573, 13569])).
% 7.74/5.56 tff(13575,plain,
% 7.74/5.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s204) | node4(s204) | (~until5(s204)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s204) | node4(s204) | (~until5(s204)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13576,plain,
% 7.74/5.56 ((node4(s204) | (~until5(s204)) | xuntil6(s204)) <=> (xuntil6(s204) | node4(s204) | (~until5(s204)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13577,plain,
% 7.74/5.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s204) | (~until5(s204)) | xuntil6(s204))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s204) | node4(s204) | (~until5(s204))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13576])).
% 7.74/5.56 tff(13578,plain,
% 7.74/5.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s204) | (~until5(s204)) | xuntil6(s204))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s204) | node4(s204) | (~until5(s204)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13577, 13575])).
% 7.74/5.56 tff(13579,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s204) | (~until5(s204)) | xuntil6(s204))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13580,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s204) | node4(s204) | (~until5(s204))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13579, 13578])).
% 7.74/5.56 tff(13581,plain,
% 7.74/5.56 (xuntil6(s204) | (~until5(s204))),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13580, 352, 12855])).
% 7.74/5.56 tff(13582,plain,
% 7.74/5.56 (~until5(s204)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13581, 13574])).
% 7.74/5.56 tff(13583,plain,
% 7.74/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13584,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13585,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13584, 13583])).
% 7.74/5.56 tff(13586,plain,
% 7.74/5.56 ((~xuntil6(s203)) | until5(s204)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13585, 13505, 370])).
% 7.74/5.56 tff(13587,plain,
% 7.74/5.56 (~xuntil6(s203)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13586, 13582])).
% 7.74/5.56 tff(13588,plain,
% 7.74/5.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s203) | node4(s203) | (~until5(s203)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s203) | node4(s203) | (~until5(s203)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13589,plain,
% 7.74/5.56 ((node4(s203) | (~until5(s203)) | xuntil6(s203)) <=> (xuntil6(s203) | node4(s203) | (~until5(s203)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13590,plain,
% 7.74/5.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s203) | (~until5(s203)) | xuntil6(s203))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s203) | node4(s203) | (~until5(s203))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13589])).
% 7.74/5.56 tff(13591,plain,
% 7.74/5.56 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s203) | (~until5(s203)) | xuntil6(s203))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s203) | node4(s203) | (~until5(s203)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13590, 13588])).
% 7.74/5.56 tff(13592,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s203) | (~until5(s203)) | xuntil6(s203))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13593,plain,
% 7.74/5.56 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s203) | node4(s203) | (~until5(s203))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13592, 13591])).
% 7.74/5.56 tff(13594,plain,
% 7.74/5.56 (~until5(s203)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13593, 352, 13587, 13518])).
% 7.74/5.56 tff(13595,plain,
% 7.74/5.56 (succ(s202, s203) <=> succ(s202, s203)),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13596,axiom,(succ(s202, s203)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound203')).
% 7.74/5.56 tff(13597,plain,
% 7.74/5.56 (succ(s202, s203)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13596, 13595])).
% 7.74/5.56 tff(13598,plain,
% 7.74/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13599,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13600,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13599, 13598])).
% 7.74/5.56 tff(13601,plain,
% 7.74/5.56 ((~xuntil6(s202)) | until5(s203)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13600, 13597, 370])).
% 7.74/5.56 tff(13602,plain,
% 7.74/5.56 (~xuntil6(s202)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13601, 13594])).
% 7.74/5.56 tff(13603,assumption,(node4(s202)), introduced(assumption)).
% 7.74/5.56 tff(13604,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13605,plain,
% 7.74/5.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s202) | (~node4(s202)))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13606,plain,
% 7.74/5.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s202) | (~node4(s202))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 7.74/5.56 tff(13607,plain,
% 7.74/5.56 (m_main_v_request(s202)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13606, 28, 13603])).
% 7.74/5.56 tff(13608,plain,
% 7.74/5.56 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s202) | (~node4(s202)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s202) | (~node4(s202)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13609,plain,
% 7.74/5.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s202) | (~node4(s202)))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13610,plain,
% 7.74/5.56 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s202) | (~node4(s202))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13609, 13608])).
% 7.74/5.56 tff(13611,plain,
% 7.74/5.56 (always3(s202)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13610, 16, 13603])).
% 7.74/5.56 tff(13612,plain,
% 7.74/5.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s202, s203)) | trans(s202, s203))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s202, s203)) | trans(s202, s203))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13613,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s202, s203)) | trans(s202, s203))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13614,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s202, s203)) | trans(s202, s203)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13613, 13612])).
% 7.74/5.56 tff(13615,plain,
% 7.74/5.56 (trans(s202, s203)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13614, 13597, 39])).
% 7.74/5.56 tff(13616,plain,
% 7.74/5.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s202, s203)) | (~always3(s202)) | always3(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s202, s203)) | (~always3(s202)) | always3(s203))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13617,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s202, s203)) | (~always3(s202)) | always3(s203))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13618,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s202, s203)) | (~always3(s202)) | always3(s203)),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13617, 13616])).
% 7.74/5.56 tff(13619,plain,
% 7.74/5.56 ((~always3(s202)) | always3(s203)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13618, 112, 13615])).
% 7.74/5.56 tff(13620,plain,
% 7.74/5.56 (always3(s203)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13619, 13611])).
% 7.74/5.56 tff(13621,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13622,plain,
% 7.74/5.56 (((~m_main_v_state(s203, c_busy)) | (~always3(s203))) <=> ((~always3(s203)) | (~m_main_v_state(s203, c_busy)))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13623,plain,
% 7.74/5.56 (((~![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))))),
% 7.74/5.56 inference(monotonicity,[status(thm)],[13622])).
% 7.74/5.56 tff(13624,plain,
% 7.74/5.56 (((~![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)))),
% 7.74/5.56 inference(transitivity,[status(thm)],[13623, 13621])).
% 7.74/5.56 tff(13625,plain,
% 7.74/5.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s203, c_busy)) | (~always3(s203)))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13626,plain,
% 7.74/5.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s203)) | (~m_main_v_state(s203, c_busy))),
% 7.74/5.56 inference(modus_ponens,[status(thm)],[13625, 13624])).
% 7.74/5.56 tff(13627,plain,
% 7.74/5.56 (~m_main_v_state(s203, c_busy)),
% 7.74/5.56 inference(unit_resolution,[status(thm)],[13626, 72, 13620])).
% 7.74/5.56 tff(13628,plain,
% 7.74/5.56 (((~![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))),
% 7.74/5.56 inference(rewrite,[status(thm)],[])).
% 7.74/5.56 tff(13629,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s202, s203)) | node2(s202, s203))),
% 7.74/5.56 inference(quant_inst,[status(thm)],[])).
% 7.74/5.56 tff(13630,plain,
% 7.74/5.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s202, s203)) | node2(s202, s203)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13629, 13628])).
% 7.74/5.57 tff(13631,plain,
% 7.74/5.57 (node2(s202, s203)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13630, 7, 13615])).
% 7.74/5.57 tff(13632,plain,
% 7.74/5.57 (((~![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(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)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13633,plain,
% 7.74/5.57 ((~![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(s202, c_ready)) | (~node2(s202, s203)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202)))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13634,plain,
% 7.74/5.57 ((~![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(s202, c_ready)) | (~node2(s202, s203)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202))),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13633, 13632])).
% 7.74/5.57 tff(13635,plain,
% 7.74/5.57 ((~m_main_v_state(s202, c_ready)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202))),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13634, 60, 13631])).
% 7.74/5.57 tff(13636,plain,
% 7.74/5.57 (~m_main_v_state(s202, c_ready)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13635, 13627, 13607])).
% 7.74/5.57 tff(13637,plain,
% 7.74/5.57 (~m_main_v_state(s202, c_busy)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12516, 72, 13611])).
% 7.74/5.57 tff(13638,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13639,plain,
% 7.74/5.57 ((~![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))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13640,plain,
% 7.74/5.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s202, c_busy) | m_main_v_state(s202, c_ready)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13639, 13638])).
% 7.74/5.57 tff(13641,plain,
% 7.74/5.57 ($false),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13640, 89, 13637, 13636])).
% 7.74/5.57 tff(13642,plain,(~node4(s202)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.57 tff(13643,plain,
% 7.74/5.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s202) | node4(s202) | (~until5(s202)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s202) | node4(s202) | (~until5(s202)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13644,plain,
% 7.74/5.57 ((node4(s202) | (~until5(s202)) | xuntil6(s202)) <=> (xuntil6(s202) | node4(s202) | (~until5(s202)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13645,plain,
% 7.74/5.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s202) | (~until5(s202)) | xuntil6(s202))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s202) | node4(s202) | (~until5(s202))))),
% 7.74/5.57 inference(monotonicity,[status(thm)],[13644])).
% 7.74/5.57 tff(13646,plain,
% 7.74/5.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s202) | (~until5(s202)) | xuntil6(s202))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s202) | node4(s202) | (~until5(s202)))),
% 7.74/5.57 inference(transitivity,[status(thm)],[13645, 13643])).
% 7.74/5.57 tff(13647,plain,
% 7.74/5.57 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s202) | (~until5(s202)) | xuntil6(s202))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13648,plain,
% 7.74/5.57 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s202) | node4(s202) | (~until5(s202))),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13647, 13646])).
% 7.74/5.57 tff(13649,plain,
% 7.74/5.57 (xuntil6(s202) | (~until5(s202))),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13648, 352, 13642])).
% 7.74/5.57 tff(13650,plain,
% 7.74/5.57 (~until5(s202)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13649, 13602])).
% 7.74/5.57 tff(13651,plain,
% 7.74/5.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13652,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13653,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13652, 13651])).
% 7.74/5.57 tff(13654,plain,
% 7.74/5.57 ((~xuntil6(s201)) | until5(s202)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13653, 12501, 370])).
% 7.74/5.57 tff(13655,plain,
% 7.74/5.57 (~xuntil6(s201)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13654, 13650])).
% 7.74/5.57 tff(13656,plain,
% 7.74/5.57 (((~![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)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13657,plain,
% 7.74/5.57 ((node4(s201) | (~until5(s201)) | xuntil6(s201)) <=> (xuntil6(s201) | node4(s201) | (~until5(s201)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13658,plain,
% 7.74/5.57 (((~![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))))),
% 7.74/5.57 inference(monotonicity,[status(thm)],[13657])).
% 7.74/5.57 tff(13659,plain,
% 7.74/5.57 (((~![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)))),
% 7.74/5.57 inference(transitivity,[status(thm)],[13658, 13656])).
% 7.74/5.57 tff(13660,plain,
% 7.74/5.57 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s201) | (~until5(s201)) | xuntil6(s201))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13661,plain,
% 7.74/5.57 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s201) | node4(s201) | (~until5(s201))),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13660, 13659])).
% 7.74/5.57 tff(13662,plain,
% 7.74/5.57 (xuntil6(s201) | (~until5(s201))),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13661, 352, 12857])).
% 7.74/5.57 tff(13663,plain,
% 7.74/5.57 (~until5(s201)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13662, 13655])).
% 7.74/5.57 tff(13664,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13665,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13666,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13665, 13664])).
% 7.74/5.57 tff(13667,plain,
% 7.74/5.57 ((~xuntil6(s200)) | until5(s201)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13666, 12550, 370])).
% 7.74/5.57 tff(13668,plain,
% 7.74/5.57 (~xuntil6(s200)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13667, 13663])).
% 7.74/5.57 tff(13669,plain,
% 7.74/5.57 (xuntil6(s200) | (~until5(s200))),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13496, 352, 12856])).
% 7.74/5.57 tff(13670,plain,
% 7.74/5.57 (~until5(s200)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13669, 13668])).
% 7.74/5.57 tff(13671,plain,
% 7.74/5.57 (~always3(s202)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13619, 13514])).
% 7.74/5.57 tff(13672,plain,
% 7.74/5.57 (~always3(s201)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12509, 13671])).
% 7.74/5.57 tff(13673,plain,
% 7.74/5.57 (~always3(s200)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12558, 13672])).
% 7.74/5.57 tff(13674,plain,
% 7.74/5.57 (~always3(s199)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12460, 13673])).
% 7.74/5.57 tff(13675,plain,
% 7.74/5.57 (~always3(s198)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12788, 13674])).
% 7.74/5.57 tff(13676,plain,
% 7.74/5.57 (~always3(s197)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12592, 13675])).
% 7.74/5.57 tff(13677,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13678,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13679,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13678, 13677])).
% 7.74/5.57 tff(13680,plain,
% 7.74/5.57 (trans(s196, s197)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13679, 13449, 39])).
% 7.74/5.57 tff(13681,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13682,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s196, s197)) | (~always3(s196)) | always3(s197))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13683,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s196, s197)) | (~always3(s196)) | always3(s197)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13682, 13681])).
% 7.74/5.57 tff(13684,plain,
% 7.74/5.57 ((~always3(s196)) | always3(s197)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13683, 112, 13680])).
% 7.74/5.57 tff(13685,plain,
% 7.74/5.57 (~always3(s196)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13684, 13676])).
% 7.74/5.57 tff(13686,plain,
% 7.74/5.57 (~node4(s196)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12862, 16, 13685])).
% 7.74/5.57 tff(13687,plain,
% 7.74/5.57 (~always3(s195)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12404, 13685])).
% 7.74/5.57 tff(13688,plain,
% 7.74/5.57 (~node4(s195)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12392, 16, 13687])).
% 7.74/5.57 tff(13689,plain,
% 7.74/5.57 (~always3(s194)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12348, 13687])).
% 7.74/5.57 tff(13690,plain,
% 7.74/5.57 (~always3(s193)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12292, 13689])).
% 7.74/5.57 tff(13691,plain,
% 7.74/5.57 (~always3(s192)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12236, 13690])).
% 7.74/5.57 tff(13692,plain,
% 7.74/5.57 (~always3(s191)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12180, 13691])).
% 7.74/5.57 tff(13693,plain,
% 7.74/5.57 (~always3(s190)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12124, 13692])).
% 7.74/5.57 tff(13694,plain,
% 7.74/5.57 (~always3(s189)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12068, 13693])).
% 7.74/5.57 tff(13695,plain,
% 7.74/5.57 (~always3(s188)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12012, 13694])).
% 7.74/5.57 tff(13696,plain,
% 7.74/5.57 (~always3(s187)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[11956, 13695])).
% 7.74/5.57 tff(13697,plain,
% 7.74/5.57 (~always3(s186)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[11900, 13696])).
% 7.74/5.57 tff(13698,plain,
% 7.74/5.57 (~always3(s185)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[11844, 13697])).
% 7.74/5.57 tff(13699,plain,
% 7.74/5.57 (~always3(s184)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[11788, 13698])).
% 7.74/5.57 tff(13700,plain,
% 7.74/5.57 (xuntil6(s184)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13415, 13699, 13399, 12990, 12986, 12943, 12982, 13407, 12976, 13389, 12970, 12966, 12962, 13375, 12958, 13403, 13371, 12947, 13367, 12994, 12995])).
% 7.74/5.57 tff(13701,plain,
% 7.74/5.57 (until5(s185)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[11823, 13700])).
% 7.74/5.57 tff(13702,plain,
% 7.74/5.57 (xuntil6(s185)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[11874, 13701])).
% 7.74/5.57 tff(13703,plain,
% 7.74/5.57 (until5(s186)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[11879, 13702])).
% 7.74/5.57 tff(13704,plain,
% 7.74/5.57 (xuntil6(s186)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[11930, 13703])).
% 7.74/5.57 tff(13705,plain,
% 7.74/5.57 (until5(s187)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[11935, 13704])).
% 7.74/5.57 tff(13706,plain,
% 7.74/5.57 (xuntil6(s187)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[11986, 13705])).
% 7.74/5.57 tff(13707,plain,
% 7.74/5.57 (until5(s188)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[11991, 13706])).
% 7.74/5.57 tff(13708,plain,
% 7.74/5.57 (xuntil6(s188)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12042, 13707])).
% 7.74/5.57 tff(13709,plain,
% 7.74/5.57 (until5(s189)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12047, 13708])).
% 7.74/5.57 tff(13710,plain,
% 7.74/5.57 (xuntil6(s189)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12098, 13709])).
% 7.74/5.57 tff(13711,plain,
% 7.74/5.57 (until5(s190)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12103, 13710])).
% 7.74/5.57 tff(13712,plain,
% 7.74/5.57 (xuntil6(s190)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12154, 13711])).
% 7.74/5.57 tff(13713,plain,
% 7.74/5.57 (until5(s191)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12159, 13712])).
% 7.74/5.57 tff(13714,plain,
% 7.74/5.57 (xuntil6(s191)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12210, 13713])).
% 7.74/5.57 tff(13715,plain,
% 7.74/5.57 (until5(s192)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12215, 13714])).
% 7.74/5.57 tff(13716,plain,
% 7.74/5.57 (xuntil6(s192)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12266, 13715])).
% 7.74/5.57 tff(13717,plain,
% 7.74/5.57 (until5(s193)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12271, 13716])).
% 7.74/5.57 tff(13718,plain,
% 7.74/5.57 (xuntil6(s193)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12322, 13717])).
% 7.74/5.57 tff(13719,plain,
% 7.74/5.57 (until5(s194)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12327, 13718])).
% 7.74/5.57 tff(13720,plain,
% 7.74/5.57 (xuntil6(s194)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12378, 13719])).
% 7.74/5.57 tff(13721,plain,
% 7.74/5.57 (until5(s195)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12383, 13720])).
% 7.74/5.57 tff(13722,plain,
% 7.74/5.57 (xuntil6(s195) | node4(s195)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12433, 352, 13721])).
% 7.74/5.57 tff(13723,plain,
% 7.74/5.57 (xuntil6(s195)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13722, 13688])).
% 7.74/5.57 tff(13724,plain,
% 7.74/5.57 (until5(s196)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12439, 13723])).
% 7.74/5.57 tff(13725,plain,
% 7.74/5.57 (xuntil6(s196)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13445, 352, 13724, 13686])).
% 7.74/5.57 tff(13726,plain,
% 7.74/5.57 (until5(s197)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13453, 13725])).
% 7.74/5.57 tff(13727,plain,
% 7.74/5.57 (xuntil6(s197) | (~until5(s197))),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13460, 352, 12849])).
% 7.74/5.57 tff(13728,plain,
% 7.74/5.57 (xuntil6(s197)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13727, 13726])).
% 7.74/5.57 tff(13729,plain,
% 7.74/5.57 (until5(s198)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13465, 13728])).
% 7.74/5.57 tff(13730,plain,
% 7.74/5.57 (xuntil6(s198) | (~until5(s198))),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13472, 352, 12853])).
% 7.74/5.57 tff(13731,plain,
% 7.74/5.57 (xuntil6(s198)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13730, 13729])).
% 7.74/5.57 tff(13732,plain,
% 7.74/5.57 (until5(s199)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13477, 13731])).
% 7.74/5.57 tff(13733,plain,
% 7.74/5.57 (xuntil6(s199) | (~until5(s199))),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13484, 352, 12854])).
% 7.74/5.57 tff(13734,plain,
% 7.74/5.57 (xuntil6(s199)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13733, 13732])).
% 7.74/5.57 tff(13735,plain,
% 7.74/5.57 ($false),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13489, 13734, 13670])).
% 7.74/5.57 tff(13736,plain,(always3(s208) | node4(s199) | node4(s200) | node4(s198) | node4(s201) | node4(s197) | node4(s204) | node4(s205) | node4(s206) | node4(s207) | xuntil6(s208) | node4(s164) | node4(s168) | node4(s169) | node4(s180) | node4(s170) | node4(s166) | node4(s172) | node4(s161) | node4(s174) | node4(s175) | node4(s176) | node4(s157) | node4(s177) | node4(s165) | node4(s156) | node4(s179) | node4(s155) | node4(s153) | node4(s152)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.57 tff(13737,plain,
% 7.74/5.57 (always3(s208)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13736, 12850, 12856, 12853, 12857, 12849, 12943, 12855, 12852, 12851, 12858, 13399, 12990, 12986, 12854, 12982, 13407, 12976, 13389, 12970, 12966, 12962, 13375, 12958, 13403, 13371, 12947, 13367, 12994, 12995])).
% 7.74/5.57 tff(13738,plain,
% 7.74/5.57 (succ(s208, s209) <=> succ(s208, s209)),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13739,axiom,(succ(s208, s209)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound209')).
% 7.74/5.57 tff(13740,plain,
% 7.74/5.57 (succ(s208, s209)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13739, 13738])).
% 7.74/5.57 tff(13741,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13742,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s208, s209)) | trans(s208, s209))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13743,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s208, s209)) | trans(s208, s209)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13742, 13741])).
% 7.74/5.57 tff(13744,plain,
% 7.74/5.57 (trans(s208, s209)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13743, 13740, 39])).
% 7.74/5.57 tff(13745,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13746,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s208, s209)) | (~always3(s208)) | always3(s209))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13747,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s208, s209)) | (~always3(s208)) | always3(s209)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13746, 13745])).
% 7.74/5.57 tff(13748,plain,
% 7.74/5.57 ((~always3(s208)) | always3(s209)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13747, 112, 13744])).
% 7.74/5.57 tff(13749,plain,
% 7.74/5.57 (always3(s209)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13748, 13737])).
% 7.74/5.57 tff(13750,plain,
% 7.74/5.57 (((~![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)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13751,plain,
% 7.74/5.57 (((~m_main_v_state(s209, c_busy)) | (~always3(s209))) <=> ((~always3(s209)) | (~m_main_v_state(s209, c_busy)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13752,plain,
% 7.74/5.57 (((~![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))))),
% 7.74/5.57 inference(monotonicity,[status(thm)],[13751])).
% 7.74/5.57 tff(13753,plain,
% 7.74/5.57 (((~![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)))),
% 7.74/5.57 inference(transitivity,[status(thm)],[13752, 13750])).
% 7.74/5.57 tff(13754,plain,
% 7.74/5.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s209, c_busy)) | (~always3(s209)))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13755,plain,
% 7.74/5.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s209)) | (~m_main_v_state(s209, c_busy))),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13754, 13753])).
% 7.74/5.57 tff(13756,plain,
% 7.74/5.57 (~m_main_v_state(s209, c_busy)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13755, 72, 13749])).
% 7.74/5.57 tff(13757,assumption,(until5(s208)), introduced(assumption)).
% 7.74/5.57 tff(13758,plain,
% 7.74/5.57 (xuntil6(s208) | node4(s208)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13528, 352, 13757])).
% 7.74/5.57 tff(13759,plain,
% 7.74/5.57 (node4(s208)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13758, 12850])).
% 7.74/5.57 tff(13760,plain,
% 7.74/5.57 (((~![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)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13761,plain,
% 7.74/5.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s208) | (~node4(s208)))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13762,plain,
% 7.74/5.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s208) | (~node4(s208))),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13761, 13760])).
% 7.74/5.57 tff(13763,plain,
% 7.74/5.57 (m_main_v_request(s208)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13762, 28, 13759])).
% 7.74/5.57 tff(13764,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13765,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s208, s209)) | node2(s208, s209))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13766,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s208, s209)) | node2(s208, s209)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13765, 13764])).
% 7.74/5.57 tff(13767,plain,
% 7.74/5.57 (node2(s208, s209)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13766, 7, 13744])).
% 7.74/5.57 tff(13768,plain,
% 7.74/5.57 (((~![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(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)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13769,plain,
% 7.74/5.57 ((~![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(s208, c_ready)) | (~node2(s208, s209)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208)))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13770,plain,
% 7.74/5.57 ((~![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(s208, c_ready)) | (~node2(s208, s209)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208))),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13769, 13768])).
% 7.74/5.57 tff(13771,plain,
% 7.74/5.57 ((~m_main_v_state(s208, c_ready)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208))),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13770, 60, 13767])).
% 7.74/5.57 tff(13772,plain,
% 7.74/5.57 (~m_main_v_state(s208, c_ready)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13771, 13763, 13756])).
% 7.74/5.57 tff(13773,plain,
% 7.74/5.57 (~m_main_v_state(s208, c_busy)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12654, 72, 13737])).
% 7.74/5.57 tff(13774,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13775,plain,
% 7.74/5.57 ((~![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))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13776,plain,
% 7.74/5.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s208, c_busy) | m_main_v_state(s208, c_ready)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13775, 13774])).
% 7.74/5.57 tff(13777,plain,
% 7.74/5.57 ($false),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13776, 89, 13773, 13772])).
% 7.74/5.57 tff(13778,plain,(xuntil6(s208) | (~until5(s208)) | node4(s200) | node4(s198) | node4(s201) | node4(s197) | node4(s180) | node4(s204) | node4(s206) | node4(s207) | node4(s205) | node4(s164) | node4(s168) | node4(s169) | node4(s199) | node4(s170) | node4(s166) | node4(s172) | node4(s161) | node4(s174) | node4(s175) | node4(s176) | node4(s157) | node4(s177) | node4(s165) | node4(s156) | node4(s179) | node4(s155) | node4(s153) | node4(s152)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.57 tff(13779,plain,
% 7.74/5.57 (~until5(s208)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13778, 12923, 12850, 12853, 12856, 12849, 12857, 12855, 12852, 12851, 12858, 12926, 12925, 12924, 12854, 12922, 12921, 12920, 12919, 12918, 12917, 12916, 12915, 12914, 12913, 12912, 12911, 12910, 12909, 12908])).
% 7.74/5.57 tff(13780,plain,
% 7.74/5.57 (~xuntil6(s207)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13534, 13779])).
% 7.74/5.57 tff(13781,plain,
% 7.74/5.57 (~until5(s207)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13541, 352, 13780, 12851])).
% 7.74/5.57 tff(13782,plain,
% 7.74/5.57 (~xuntil6(s206)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13547, 13781])).
% 7.74/5.57 tff(13783,plain,
% 7.74/5.57 (~until5(s206)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13554, 352, 13782, 12852])).
% 7.74/5.57 tff(13784,plain,
% 7.74/5.57 (~xuntil6(s205)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13560, 13783])).
% 7.74/5.57 tff(13785,plain,
% 7.74/5.57 (~until5(s205)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13567, 352, 13784, 12858])).
% 7.74/5.57 tff(13786,plain,
% 7.74/5.57 (~xuntil6(s204)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13573, 13785])).
% 7.74/5.57 tff(13787,plain,
% 7.74/5.57 (~until5(s204)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13580, 352, 13786, 12855])).
% 7.74/5.57 tff(13788,plain,
% 7.74/5.57 (~xuntil6(s203)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13586, 13787])).
% 7.74/5.57 tff(13789,assumption,(node4(s203)), introduced(assumption)).
% 7.74/5.57 tff(13790,plain,
% 7.74/5.57 (((~![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)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13791,plain,
% 7.74/5.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s203) | (~node4(s203)))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13792,plain,
% 7.74/5.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s203) | (~node4(s203))),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13791, 13790])).
% 7.74/5.57 tff(13793,plain,
% 7.74/5.57 (m_main_v_request(s203)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13792, 28, 13789])).
% 7.74/5.57 tff(13794,plain,
% 7.74/5.57 (always3(s203)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13517, 16, 13789])).
% 7.74/5.57 tff(13795,plain,
% 7.74/5.57 (always3(s204)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13513, 13794])).
% 7.74/5.57 tff(13796,plain,
% 7.74/5.57 (~m_main_v_state(s204, c_busy)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12759, 72, 13795])).
% 7.74/5.57 tff(13797,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13798,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s203, s204)) | node2(s203, s204))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13799,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s203, s204)) | node2(s203, s204)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13798, 13797])).
% 7.74/5.57 tff(13800,plain,
% 7.74/5.57 (node2(s203, s204)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13799, 7, 13509])).
% 7.74/5.57 tff(13801,plain,
% 7.74/5.57 (((~![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(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)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13802,plain,
% 7.74/5.57 ((~![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(s203, c_ready)) | (~node2(s203, s204)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203)))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13803,plain,
% 7.74/5.57 ((~![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(s203, c_ready)) | (~node2(s203, s204)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203))),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13802, 13801])).
% 7.74/5.57 tff(13804,plain,
% 7.74/5.57 ((~m_main_v_state(s203, c_ready)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203))),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13803, 60, 13800])).
% 7.74/5.57 tff(13805,plain,
% 7.74/5.57 (~m_main_v_state(s203, c_ready)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13804, 13796, 13793])).
% 7.74/5.57 tff(13806,plain,
% 7.74/5.57 (~m_main_v_state(s203, c_busy)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13626, 72, 13794])).
% 7.74/5.57 tff(13807,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13808,plain,
% 7.74/5.57 ((~![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))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13809,plain,
% 7.74/5.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s203, c_busy) | m_main_v_state(s203, c_ready)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13808, 13807])).
% 7.74/5.57 tff(13810,plain,
% 7.74/5.57 ($false),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13809, 89, 13806, 13805])).
% 7.74/5.57 tff(13811,plain,(~node4(s203)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.57 tff(13812,plain,
% 7.74/5.57 (xuntil6(s203) | (~until5(s203))),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13593, 352, 13811])).
% 7.74/5.57 tff(13813,plain,
% 7.74/5.57 (~until5(s203)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13812, 13788])).
% 7.74/5.57 tff(13814,plain,
% 7.74/5.57 (~xuntil6(s202)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13601, 13813])).
% 7.74/5.57 tff(13815,plain,
% 7.74/5.57 (~until5(s202)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13649, 13814])).
% 7.74/5.57 tff(13816,plain,
% 7.74/5.57 (~xuntil6(s201)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13654, 13815])).
% 7.74/5.57 tff(13817,plain,
% 7.74/5.57 (~until5(s201)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13661, 352, 13816, 12857])).
% 7.74/5.57 tff(13818,plain,
% 7.74/5.57 ($false),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13667, 13817, 13497])).
% 7.74/5.57 tff(13819,plain,(always3(s196) | node4(s201) | node4(s200) | node4(s199) | node4(s204) | node4(s205) | node4(s198) | node4(s197) | node4(s206) | node4(s207) | xuntil6(s208)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.57 tff(13820,plain,
% 7.74/5.57 (always3(s196)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13819, 12858, 12857, 12856, 12855, 12854, 12853, 12849, 12852, 12851, 12850])).
% 7.74/5.57 tff(13821,plain,
% 7.74/5.57 (always3(s197)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13684, 13820])).
% 7.74/5.57 tff(13822,plain,
% 7.74/5.57 (~m_main_v_state(s197, c_busy)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12615, 72, 13821])).
% 7.74/5.57 tff(13823,plain,
% 7.74/5.57 (~m_main_v_state(s196, c_busy)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[12411, 72, 13820])).
% 7.74/5.57 tff(13824,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13825,plain,
% 7.74/5.57 ((~![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))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13826,plain,
% 7.74/5.57 ((~![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)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13825, 13824])).
% 7.74/5.57 tff(13827,plain,
% 7.74/5.57 (m_main_v_state(s196, c_ready)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13826, 89, 13823])).
% 7.74/5.57 tff(13828,plain,
% 7.74/5.57 (((~![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))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13829,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s196, s197)) | node2(s196, s197))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13830,plain,
% 7.74/5.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s196, s197)) | node2(s196, s197)),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13829, 13828])).
% 7.74/5.57 tff(13831,plain,
% 7.74/5.57 (node2(s196, s197)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13830, 7, 13680])).
% 7.74/5.57 tff(13832,plain,
% 7.74/5.57 (((~![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(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)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13833,plain,
% 7.74/5.57 ((~![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(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196)))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13834,plain,
% 7.74/5.57 ((~![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(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196))),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13833, 13832])).
% 7.74/5.57 tff(13835,plain,
% 7.74/5.57 ((~m_main_v_state(s196, c_ready)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196))),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13834, 60, 13831])).
% 7.74/5.57 tff(13836,plain,
% 7.74/5.57 (~m_main_v_request(s196)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13835, 13827, 13822])).
% 7.74/5.57 tff(13837,plain,
% 7.74/5.57 (((~![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)))),
% 7.74/5.57 inference(rewrite,[status(thm)],[])).
% 7.74/5.57 tff(13838,plain,
% 7.74/5.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s196) | (~node4(s196)))),
% 7.74/5.57 inference(quant_inst,[status(thm)],[])).
% 7.74/5.57 tff(13839,plain,
% 7.74/5.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s196) | (~node4(s196))),
% 7.74/5.57 inference(modus_ponens,[status(thm)],[13838, 13837])).
% 7.74/5.57 tff(13840,plain,
% 7.74/5.57 (~node4(s196)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13839, 28, 13836])).
% 7.74/5.57 tff(13841,assumption,(until5(s196)), introduced(assumption)).
% 7.74/5.57 tff(13842,plain,
% 7.74/5.57 (xuntil6(s196) | node4(s196)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13445, 352, 13841])).
% 7.74/5.57 tff(13843,plain,
% 7.74/5.57 (xuntil6(s196)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13842, 13840])).
% 7.74/5.57 tff(13844,plain,
% 7.74/5.57 (until5(s197)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13453, 13843])).
% 7.74/5.57 tff(13845,plain,
% 7.74/5.57 (xuntil6(s197)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13460, 352, 13844, 12849])).
% 7.74/5.57 tff(13846,plain,
% 7.74/5.57 (until5(s198)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13465, 13845])).
% 7.74/5.57 tff(13847,plain,
% 7.74/5.57 (xuntil6(s198)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13730, 13846])).
% 7.74/5.57 tff(13848,plain,
% 7.74/5.57 (until5(s199)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13477, 13847])).
% 7.74/5.57 tff(13849,plain,
% 7.74/5.57 (xuntil6(s199)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13733, 13848])).
% 7.74/5.57 tff(13850,plain,
% 7.74/5.57 (until5(s200)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13489, 13849])).
% 7.74/5.57 tff(13851,plain,
% 7.74/5.57 (xuntil6(s200)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13669, 13850])).
% 7.74/5.57 tff(13852,plain,
% 7.74/5.57 (~until5(s208)),
% 7.74/5.57 inference(unit_resolution,[status(thm)],[13778, 12858, 12850, 12943, 12853, 12849, 12857, 12856, 12852, 12851, 12855, 13399, 12990, 12986, 12854, 12982, 13407, 12976, 13389, 12970, 12966, 12962, 13375, 12958, 13403, 13371, 12947, 13367, 12994, 12995])).
% 7.74/5.57 tff(13853,plain,
% 7.74/5.58 (~xuntil6(s207)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13534, 13852])).
% 7.74/5.58 tff(13854,plain,
% 7.74/5.58 (~until5(s207)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13541, 352, 13853, 12851])).
% 7.74/5.58 tff(13855,plain,
% 7.74/5.58 (~xuntil6(s206)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13547, 13854])).
% 7.74/5.58 tff(13856,plain,
% 7.74/5.58 (~until5(s206)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13554, 352, 13855, 12852])).
% 7.74/5.58 tff(13857,plain,
% 7.74/5.58 (~xuntil6(s205)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13560, 13856])).
% 7.74/5.58 tff(13858,plain,
% 7.74/5.58 (~until5(s205)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13567, 352, 13857, 12858])).
% 7.74/5.58 tff(13859,plain,
% 7.74/5.58 (~xuntil6(s204)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13573, 13858])).
% 7.74/5.58 tff(13860,plain,
% 7.74/5.58 (~until5(s204)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13580, 352, 13859, 12855])).
% 7.74/5.58 tff(13861,plain,
% 7.74/5.58 (~xuntil6(s203)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13586, 13860])).
% 7.74/5.58 tff(13862,plain,
% 7.74/5.58 (~until5(s203)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13812, 13861])).
% 7.74/5.58 tff(13863,plain,
% 7.74/5.58 (~xuntil6(s202)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13601, 13862])).
% 7.74/5.58 tff(13864,plain,
% 7.74/5.58 (~until5(s202)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13649, 13863])).
% 7.74/5.58 tff(13865,plain,
% 7.74/5.58 (~xuntil6(s201)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13654, 13864])).
% 7.74/5.58 tff(13866,plain,
% 7.74/5.58 (~until5(s201)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13662, 13865])).
% 7.74/5.58 tff(13867,plain,
% 7.74/5.58 ($false),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13667, 13866, 13851])).
% 7.74/5.58 tff(13868,plain,(node4(s205) | node4(s201) | node4(s200) | node4(s199) | node4(s198) | node4(s204) | node4(s197) | (~until5(s196)) | node4(s206) | node4(s207) | xuntil6(s208) | node4(s180) | node4(s164) | node4(s168) | node4(s169) | node4(s170) | node4(s166) | node4(s172) | node4(s161) | node4(s174) | node4(s175) | node4(s176) | node4(s157) | node4(s177) | node4(s165) | node4(s156) | node4(s179) | node4(s155) | node4(s153) | node4(s152)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.58 tff(13869,plain,
% 7.74/5.58 (node4(s201) | node4(s200) | node4(s199) | node4(s197) | (~until5(s196)) | xuntil6(s208) | node4(s180) | node4(s164) | node4(s168) | node4(s169) | node4(s170) | node4(s166) | node4(s172) | node4(s161) | node4(s174) | node4(s175) | node4(s176) | node4(s157) | node4(s177) | node4(s165) | node4(s156) | node4(s179) | node4(s155) | node4(s153) | node4(s152)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13868, 12848, 12811, 12771, 12719, 12676])).
% 7.74/5.58 tff(13870,plain,
% 7.74/5.58 (node4(s201) | node4(s199) | (~until5(s196)) | xuntil6(s208) | node4(s180) | node4(s164) | node4(s169) | node4(s170) | node4(s166) | node4(s172) | node4(s161) | node4(s174) | node4(s176) | node4(s157) | node4(s177) | node4(s165) | node4(s156) | node4(s155) | node4(s153) | node4(s152)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13869, 12627, 12575, 10888, 11300, 11528])).
% 7.74/5.58 tff(13871,plain,
% 7.74/5.58 (node4(s201) | node4(s199) | (~until5(s196)) | xuntil6(s208) | node4(s180) | node4(s164) | node4(s169) | node4(s170) | node4(s166) | node4(s172) | node4(s161) | node4(s174) | node4(s176) | node4(s165) | node4(s156) | node4(s153) | node4(s152)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13870, 10266, 11416, 10154])).
% 7.74/5.58 tff(13872,plain,
% 7.74/5.58 ((~until5(s196)) | xuntil6(s208)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13871, 11587, 12538, 12489, 10664, 10944, 11017, 10776, 11129, 10493, 11244, 11360, 10720, 10210, 10042, 9986])).
% 7.74/5.58 tff(13873,plain,
% 7.74/5.58 (xuntil6(s208)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13872, 12440])).
% 7.74/5.58 tff(13874,plain,
% 7.74/5.58 (((~![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))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13875,plain,
% 7.74/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13876,plain,
% 7.74/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209)),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13875, 13874])).
% 7.74/5.58 tff(13877,plain,
% 7.74/5.58 ((~xuntil6(s208)) | until5(s209)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13876, 13740, 370])).
% 7.74/5.58 tff(13878,plain,
% 7.74/5.58 (until5(s209)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13877, 13873])).
% 7.74/5.58 tff(13879,assumption,(node4(s209)), introduced(assumption)).
% 7.74/5.58 tff(13880,plain,
% 7.74/5.58 (((~![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)))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13881,plain,
% 7.74/5.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s209) | (~node4(s209)))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13882,plain,
% 7.74/5.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s209) | (~node4(s209))),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13881, 13880])).
% 7.74/5.58 tff(13883,plain,
% 7.74/5.58 (m_main_v_request(s209)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13882, 28, 13879])).
% 7.74/5.58 tff(13884,plain,
% 7.74/5.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s209) | (~node4(s209)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s209) | (~node4(s209)))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13885,plain,
% 7.74/5.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s209) | (~node4(s209)))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13886,plain,
% 7.74/5.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s209) | (~node4(s209))),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13885, 13884])).
% 7.74/5.58 tff(13887,plain,
% 7.74/5.58 (always3(s209)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13886, 16, 13879])).
% 7.74/5.58 tff(13888,plain,
% 7.74/5.58 (succ(s209, s210) <=> succ(s209, s210)),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13889,axiom,(succ(s209, s210)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound210')).
% 7.74/5.58 tff(13890,plain,
% 7.74/5.58 (succ(s209, s210)),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13889, 13888])).
% 7.74/5.58 tff(13891,plain,
% 7.74/5.58 (((~![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))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13892,plain,
% 7.74/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s209, s210)) | trans(s209, s210))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13893,plain,
% 7.74/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s209, s210)) | trans(s209, s210)),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13892, 13891])).
% 7.74/5.58 tff(13894,plain,
% 7.74/5.58 (trans(s209, s210)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13893, 13890, 39])).
% 7.74/5.58 tff(13895,plain,
% 7.74/5.58 (((~![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))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13896,plain,
% 7.74/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s209, s210)) | (~always3(s209)) | always3(s210))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13897,plain,
% 7.74/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s209, s210)) | (~always3(s209)) | always3(s210)),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13896, 13895])).
% 7.74/5.58 tff(13898,plain,
% 7.74/5.58 ((~always3(s209)) | always3(s210)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13897, 112, 13894])).
% 7.74/5.58 tff(13899,plain,
% 7.74/5.58 (always3(s210)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13898, 13887])).
% 7.74/5.58 tff(13900,plain,
% 7.74/5.58 (((~![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)))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13901,plain,
% 7.74/5.58 (((~m_main_v_state(s210, c_busy)) | (~always3(s210))) <=> ((~always3(s210)) | (~m_main_v_state(s210, c_busy)))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13902,plain,
% 7.74/5.58 (((~![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))))),
% 7.74/5.58 inference(monotonicity,[status(thm)],[13901])).
% 7.74/5.58 tff(13903,plain,
% 7.74/5.58 (((~![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)))),
% 7.74/5.58 inference(transitivity,[status(thm)],[13902, 13900])).
% 7.74/5.58 tff(13904,plain,
% 7.74/5.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s210, c_busy)) | (~always3(s210)))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13905,plain,
% 7.74/5.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s210)) | (~m_main_v_state(s210, c_busy))),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13904, 13903])).
% 7.74/5.58 tff(13906,plain,
% 7.74/5.58 (~m_main_v_state(s210, c_busy)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13905, 72, 13899])).
% 7.74/5.58 tff(13907,plain,
% 7.74/5.58 (((~![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))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13908,plain,
% 7.74/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s209, s210)) | node2(s209, s210))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13909,plain,
% 7.74/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s209, s210)) | node2(s209, s210)),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13908, 13907])).
% 7.74/5.58 tff(13910,plain,
% 7.74/5.58 (node2(s209, s210)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13909, 7, 13894])).
% 7.74/5.58 tff(13911,plain,
% 7.74/5.58 (((~![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(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)))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13912,plain,
% 7.74/5.58 ((~![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(s209, c_ready)) | (~node2(s209, s210)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209)))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13913,plain,
% 7.74/5.58 ((~![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(s209, c_ready)) | (~node2(s209, s210)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209))),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13912, 13911])).
% 7.74/5.58 tff(13914,plain,
% 7.74/5.58 ((~m_main_v_state(s209, c_ready)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209))),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13913, 60, 13910])).
% 7.74/5.58 tff(13915,plain,
% 7.74/5.58 (~m_main_v_state(s209, c_ready)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13914, 13906, 13883])).
% 7.74/5.58 tff(13916,plain,
% 7.74/5.58 (~m_main_v_state(s209, c_busy)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13755, 72, 13887])).
% 7.74/5.58 tff(13917,plain,
% 7.74/5.58 (((~![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))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13918,plain,
% 7.74/5.58 ((~![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))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13919,plain,
% 7.74/5.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s209, c_busy) | m_main_v_state(s209, c_ready)),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13918, 13917])).
% 7.74/5.58 tff(13920,plain,
% 7.74/5.58 ($false),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13919, 89, 13916, 13915])).
% 7.74/5.58 tff(13921,plain,(~node4(s209)), inference(lemma,lemma(discharge,[]))).
% 7.74/5.58 tff(13922,plain,
% 7.74/5.58 (((~![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)))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13923,plain,
% 7.74/5.58 ((node4(s209) | (~until5(s209)) | xuntil6(s209)) <=> (xuntil6(s209) | node4(s209) | (~until5(s209)))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13924,plain,
% 7.74/5.58 (((~![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))))),
% 7.74/5.58 inference(monotonicity,[status(thm)],[13923])).
% 7.74/5.58 tff(13925,plain,
% 7.74/5.58 (((~![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)))),
% 7.74/5.58 inference(transitivity,[status(thm)],[13924, 13922])).
% 7.74/5.58 tff(13926,plain,
% 7.74/5.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s209) | (~until5(s209)) | xuntil6(s209))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13927,plain,
% 7.74/5.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s209) | node4(s209) | (~until5(s209))),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13926, 13925])).
% 7.74/5.58 tff(13928,plain,
% 7.74/5.58 (xuntil6(s209) | (~until5(s209))),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13927, 352, 13921])).
% 7.74/5.58 tff(13929,plain,
% 7.74/5.58 (xuntil6(s209)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13928, 13878])).
% 7.74/5.58 tff(13930,plain,
% 7.74/5.58 (((~![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))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13931,plain,
% 7.74/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13932,plain,
% 7.74/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210)),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13931, 13930])).
% 7.74/5.58 tff(13933,plain,
% 7.74/5.58 ((~xuntil6(s209)) | until5(s210)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13932, 13890, 370])).
% 7.74/5.58 tff(13934,plain,
% 7.74/5.58 (until5(s210)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13933, 13929])).
% 7.74/5.58 tff(13935,assumption,(node4(s210)), introduced(assumption)).
% 7.74/5.58 tff(13936,plain,
% 7.74/5.58 (((~![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)))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13937,plain,
% 7.74/5.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s210) | (~node4(s210)))),
% 7.74/5.58 inference(quant_inst,[status(thm)],[])).
% 7.74/5.58 tff(13938,plain,
% 7.74/5.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s210) | (~node4(s210))),
% 7.74/5.58 inference(modus_ponens,[status(thm)],[13937, 13936])).
% 7.74/5.58 tff(13939,plain,
% 7.74/5.58 (m_main_v_request(s210)),
% 7.74/5.58 inference(unit_resolution,[status(thm)],[13938, 28, 13935])).
% 7.74/5.58 tff(13940,plain,
% 7.74/5.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s210) | (~node4(s210)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s210) | (~node4(s210)))),
% 7.74/5.58 inference(rewrite,[status(thm)],[])).
% 7.74/5.58 tff(13941,plain,
% 7.74/5.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s210) | (~node4(s210)))),
% 7.81/5.58 inference(quant_inst,[status(thm)],[])).
% 7.81/5.58 tff(13942,plain,
% 7.81/5.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s210) | (~node4(s210))),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[13941, 13940])).
% 7.81/5.58 tff(13943,plain,
% 7.81/5.58 (always3(s210)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13942, 16, 13935])).
% 7.81/5.58 tff(13944,plain,
% 7.81/5.58 (succ(s210, s211) <=> succ(s210, s211)),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(13945,axiom,(succ(s210, s211)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound211')).
% 7.81/5.58 tff(13946,plain,
% 7.81/5.58 (succ(s210, s211)),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[13945, 13944])).
% 7.81/5.58 tff(13947,plain,
% 7.81/5.58 (((~![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))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(13948,plain,
% 7.81/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s210, s211)) | trans(s210, s211))),
% 7.81/5.58 inference(quant_inst,[status(thm)],[])).
% 7.81/5.58 tff(13949,plain,
% 7.81/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s210, s211)) | trans(s210, s211)),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[13948, 13947])).
% 7.81/5.58 tff(13950,plain,
% 7.81/5.58 (trans(s210, s211)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13949, 13946, 39])).
% 7.81/5.58 tff(13951,plain,
% 7.81/5.58 (((~![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))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(13952,plain,
% 7.81/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s210, s211)) | (~always3(s210)) | always3(s211))),
% 7.81/5.58 inference(quant_inst,[status(thm)],[])).
% 7.81/5.58 tff(13953,plain,
% 7.81/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s210, s211)) | (~always3(s210)) | always3(s211)),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[13952, 13951])).
% 7.81/5.58 tff(13954,plain,
% 7.81/5.58 ((~always3(s210)) | always3(s211)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13953, 112, 13950])).
% 7.81/5.58 tff(13955,plain,
% 7.81/5.58 (always3(s211)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13954, 13943])).
% 7.81/5.58 tff(13956,plain,
% 7.81/5.58 (((~![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)))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(13957,plain,
% 7.81/5.58 (((~m_main_v_state(s211, c_busy)) | (~always3(s211))) <=> ((~always3(s211)) | (~m_main_v_state(s211, c_busy)))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(13958,plain,
% 7.81/5.58 (((~![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))))),
% 7.81/5.58 inference(monotonicity,[status(thm)],[13957])).
% 7.81/5.58 tff(13959,plain,
% 7.81/5.58 (((~![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)))),
% 7.81/5.58 inference(transitivity,[status(thm)],[13958, 13956])).
% 7.81/5.58 tff(13960,plain,
% 7.81/5.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s211, c_busy)) | (~always3(s211)))),
% 7.81/5.58 inference(quant_inst,[status(thm)],[])).
% 7.81/5.58 tff(13961,plain,
% 7.81/5.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s211)) | (~m_main_v_state(s211, c_busy))),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[13960, 13959])).
% 7.81/5.58 tff(13962,plain,
% 7.81/5.58 (~m_main_v_state(s211, c_busy)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13961, 72, 13955])).
% 7.81/5.58 tff(13963,plain,
% 7.81/5.58 (((~![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))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(13964,plain,
% 7.81/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s210, s211)) | node2(s210, s211))),
% 7.81/5.58 inference(quant_inst,[status(thm)],[])).
% 7.81/5.58 tff(13965,plain,
% 7.81/5.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s210, s211)) | node2(s210, s211)),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[13964, 13963])).
% 7.81/5.58 tff(13966,plain,
% 7.81/5.58 (node2(s210, s211)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13965, 7, 13950])).
% 7.81/5.58 tff(13967,plain,
% 7.81/5.58 (((~![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(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)))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(13968,plain,
% 7.81/5.58 ((~![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(s210, c_ready)) | (~node2(s210, s211)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210)))),
% 7.81/5.58 inference(quant_inst,[status(thm)],[])).
% 7.81/5.58 tff(13969,plain,
% 7.81/5.58 ((~![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(s210, c_ready)) | (~node2(s210, s211)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210))),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[13968, 13967])).
% 7.81/5.58 tff(13970,plain,
% 7.81/5.58 ((~m_main_v_state(s210, c_ready)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210))),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13969, 60, 13966])).
% 7.81/5.58 tff(13971,plain,
% 7.81/5.58 (~m_main_v_state(s210, c_ready)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13970, 13962, 13939])).
% 7.81/5.58 tff(13972,plain,
% 7.81/5.58 (~m_main_v_state(s210, c_busy)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13905, 72, 13943])).
% 7.81/5.58 tff(13973,plain,
% 7.81/5.58 (((~![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))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(13974,plain,
% 7.81/5.58 ((~![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))),
% 7.81/5.58 inference(quant_inst,[status(thm)],[])).
% 7.81/5.58 tff(13975,plain,
% 7.81/5.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s210, c_busy) | m_main_v_state(s210, c_ready)),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[13974, 13973])).
% 7.81/5.58 tff(13976,plain,
% 7.81/5.58 ($false),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13975, 89, 13972, 13971])).
% 7.81/5.58 tff(13977,plain,(~node4(s210)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.58 tff(13978,plain,
% 7.81/5.58 (((~![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)))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(13979,plain,
% 7.81/5.58 ((node4(s210) | (~until5(s210)) | xuntil6(s210)) <=> (xuntil6(s210) | node4(s210) | (~until5(s210)))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(13980,plain,
% 7.81/5.58 (((~![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))))),
% 7.81/5.58 inference(monotonicity,[status(thm)],[13979])).
% 7.81/5.58 tff(13981,plain,
% 7.81/5.58 (((~![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)))),
% 7.81/5.58 inference(transitivity,[status(thm)],[13980, 13978])).
% 7.81/5.58 tff(13982,plain,
% 7.81/5.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s210) | (~until5(s210)) | xuntil6(s210))),
% 7.81/5.58 inference(quant_inst,[status(thm)],[])).
% 7.81/5.58 tff(13983,plain,
% 7.81/5.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s210) | node4(s210) | (~until5(s210))),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[13982, 13981])).
% 7.81/5.58 tff(13984,plain,
% 7.81/5.58 (xuntil6(s210) | (~until5(s210))),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13983, 352, 13977])).
% 7.81/5.58 tff(13985,plain,
% 7.81/5.58 (xuntil6(s210)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13984, 13934])).
% 7.81/5.58 tff(13986,plain,
% 7.81/5.58 (((~![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))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(13987,plain,
% 7.81/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211))),
% 7.81/5.58 inference(quant_inst,[status(thm)],[])).
% 7.81/5.58 tff(13988,plain,
% 7.81/5.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211)),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[13987, 13986])).
% 7.81/5.58 tff(13989,plain,
% 7.81/5.58 ((~xuntil6(s210)) | until5(s211)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13988, 13946, 370])).
% 7.81/5.58 tff(13990,plain,
% 7.81/5.58 (until5(s211)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13989, 13985])).
% 7.81/5.58 tff(13991,assumption,(~xuntil6(s211)), introduced(assumption)).
% 7.81/5.58 tff(13992,assumption,(~always3(s211)), introduced(assumption)).
% 7.81/5.58 tff(13993,plain,
% 7.81/5.58 (~always3(s210)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13954, 13992])).
% 7.81/5.58 tff(13994,plain,
% 7.81/5.58 (~always3(s209)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13898, 13993])).
% 7.81/5.58 tff(13995,plain,
% 7.81/5.58 (~always3(s208)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13748, 13994])).
% 7.81/5.58 tff(13996,plain,
% 7.81/5.58 (~always3(s207)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12647, 13995])).
% 7.81/5.58 tff(13997,plain,
% 7.81/5.58 (~always3(s206)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12696, 13996])).
% 7.81/5.58 tff(13998,plain,
% 7.81/5.58 (~always3(s205)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12831, 13997])).
% 7.81/5.58 tff(13999,plain,
% 7.81/5.58 (~always3(s204)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12736, 13998])).
% 7.81/5.58 tff(14000,plain,
% 7.81/5.58 (~always3(s203)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13513, 13999])).
% 7.81/5.58 tff(14001,plain,
% 7.81/5.58 (~always3(s202)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13619, 14000])).
% 7.81/5.58 tff(14002,plain,
% 7.81/5.58 (~always3(s201)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12509, 14001])).
% 7.81/5.58 tff(14003,plain,
% 7.81/5.58 (~node4(s201)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12497, 16, 14002])).
% 7.81/5.58 tff(14004,plain,
% 7.81/5.58 (~node4(s209)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13886, 16, 13994])).
% 7.81/5.58 tff(14005,plain,
% 7.81/5.58 (~node4(s207)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12635, 16, 13996])).
% 7.81/5.58 tff(14006,plain,
% 7.81/5.58 (~always3(s200)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12558, 14002])).
% 7.81/5.58 tff(14007,plain,
% 7.81/5.58 (~always3(s199)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12460, 14006])).
% 7.81/5.58 tff(14008,plain,
% 7.81/5.58 (~always3(s198)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12788, 14007])).
% 7.81/5.58 tff(14009,plain,
% 7.81/5.58 (~always3(s197)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12592, 14008])).
% 7.81/5.58 tff(14010,plain,
% 7.81/5.58 (~node4(s197)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12580, 16, 14009])).
% 7.81/5.58 tff(14011,plain,
% 7.81/5.58 (~node4(s206)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12684, 16, 13997])).
% 7.81/5.58 tff(14012,plain,
% 7.81/5.58 (~node4(s198)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12776, 16, 14008])).
% 7.81/5.58 tff(14013,plain,
% 7.81/5.58 (~node4(s205)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12819, 16, 13998])).
% 7.81/5.58 tff(14014,plain,
% 7.81/5.58 (~node4(s199)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12448, 16, 14007])).
% 7.81/5.58 tff(14015,plain,
% 7.81/5.58 (~node4(s204)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12724, 16, 13999])).
% 7.81/5.58 tff(14016,plain,
% 7.81/5.58 (~node4(s200)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12546, 16, 14006])).
% 7.81/5.58 tff(14017,assumption,(~node4(s209)), introduced(assumption)).
% 7.81/5.58 tff(14018,plain,
% 7.81/5.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s211) | (~node4(s211)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s211) | (~node4(s211)))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(14019,plain,
% 7.81/5.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s211) | (~node4(s211)))),
% 7.81/5.58 inference(quant_inst,[status(thm)],[])).
% 7.81/5.58 tff(14020,plain,
% 7.81/5.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s211) | (~node4(s211))),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[14019, 14018])).
% 7.81/5.58 tff(14021,plain,
% 7.81/5.58 (~node4(s211)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[14020, 16, 13992])).
% 7.81/5.58 tff(14022,plain,
% 7.81/5.58 (((~![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)))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(14023,plain,
% 7.81/5.58 ((node4(s211) | (~until5(s211)) | xuntil6(s211)) <=> (xuntil6(s211) | node4(s211) | (~until5(s211)))),
% 7.81/5.58 inference(rewrite,[status(thm)],[])).
% 7.81/5.58 tff(14024,plain,
% 7.81/5.58 (((~![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))))),
% 7.81/5.58 inference(monotonicity,[status(thm)],[14023])).
% 7.81/5.58 tff(14025,plain,
% 7.81/5.58 (((~![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)))),
% 7.81/5.58 inference(transitivity,[status(thm)],[14024, 14022])).
% 7.81/5.58 tff(14026,plain,
% 7.81/5.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s211) | (~until5(s211)) | xuntil6(s211))),
% 7.81/5.58 inference(quant_inst,[status(thm)],[])).
% 7.81/5.58 tff(14027,plain,
% 7.81/5.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s211) | node4(s211) | (~until5(s211))),
% 7.81/5.58 inference(modus_ponens,[status(thm)],[14026, 14025])).
% 7.81/5.58 tff(14028,plain,
% 7.81/5.58 (node4(s211) | (~until5(s211))),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[14027, 352, 13991])).
% 7.81/5.58 tff(14029,plain,
% 7.81/5.58 (~until5(s211)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[14028, 14021])).
% 7.81/5.58 tff(14030,plain,
% 7.81/5.58 (~xuntil6(s210)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13989, 14029])).
% 7.81/5.58 tff(14031,plain,
% 7.81/5.58 (~until5(s210)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13984, 14030])).
% 7.81/5.58 tff(14032,plain,
% 7.81/5.58 (~xuntil6(s209)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13933, 14031])).
% 7.81/5.58 tff(14033,plain,
% 7.81/5.58 (~until5(s209)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13927, 352, 14032, 14017])).
% 7.81/5.58 tff(14034,plain,
% 7.81/5.58 (~xuntil6(s208)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13877, 14033])).
% 7.81/5.58 tff(14035,plain,
% 7.81/5.58 (~node4(s208)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13521, 16, 13995])).
% 7.81/5.58 tff(14036,plain,
% 7.81/5.58 (xuntil6(s208) | (~until5(s208))),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13528, 352, 14035])).
% 7.81/5.58 tff(14037,plain,
% 7.81/5.58 (~until5(s208)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[14036, 14034])).
% 7.81/5.58 tff(14038,plain,
% 7.81/5.58 (~xuntil6(s207)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13534, 14037])).
% 7.81/5.58 tff(14039,plain,
% 7.81/5.58 (~until5(s207)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13542, 14038])).
% 7.81/5.58 tff(14040,plain,
% 7.81/5.58 (~xuntil6(s206)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13547, 14039])).
% 7.81/5.58 tff(14041,plain,
% 7.81/5.58 (~until5(s206)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13555, 14040])).
% 7.81/5.58 tff(14042,plain,
% 7.81/5.58 (~xuntil6(s205)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13560, 14041])).
% 7.81/5.58 tff(14043,plain,
% 7.81/5.58 (~until5(s205)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13568, 14042])).
% 7.81/5.58 tff(14044,plain,
% 7.81/5.58 (~xuntil6(s204)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13573, 14043])).
% 7.81/5.58 tff(14045,plain,
% 7.81/5.58 (~until5(s204)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13581, 14044])).
% 7.81/5.58 tff(14046,plain,
% 7.81/5.58 (~xuntil6(s203)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13586, 14045])).
% 7.81/5.58 tff(14047,plain,
% 7.81/5.58 (~node4(s203)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13517, 16, 14000])).
% 7.81/5.58 tff(14048,plain,
% 7.81/5.58 (xuntil6(s203) | (~until5(s203))),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13593, 352, 14047])).
% 7.81/5.58 tff(14049,plain,
% 7.81/5.58 (~until5(s203)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[14048, 14046])).
% 7.81/5.58 tff(14050,plain,
% 7.81/5.58 (~xuntil6(s202)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13601, 14049])).
% 7.81/5.58 tff(14051,plain,
% 7.81/5.58 (~always3(s196)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[13684, 14009])).
% 7.81/5.58 tff(14052,plain,
% 7.81/5.58 (~always3(s195)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12404, 14051])).
% 7.81/5.58 tff(14053,plain,
% 7.81/5.58 (~node4(s195)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12392, 16, 14052])).
% 7.81/5.58 tff(14054,plain,
% 7.81/5.58 (~always3(s194)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12348, 14052])).
% 7.81/5.58 tff(14055,plain,
% 7.81/5.58 (~always3(s193)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12292, 14054])).
% 7.81/5.58 tff(14056,plain,
% 7.81/5.58 (~always3(s192)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12236, 14055])).
% 7.81/5.58 tff(14057,plain,
% 7.81/5.58 (~always3(s191)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12180, 14056])).
% 7.81/5.58 tff(14058,plain,
% 7.81/5.58 (~always3(s190)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12124, 14057])).
% 7.81/5.58 tff(14059,plain,
% 7.81/5.58 (~always3(s189)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12068, 14058])).
% 7.81/5.58 tff(14060,plain,
% 7.81/5.58 (~always3(s188)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[12012, 14059])).
% 7.81/5.58 tff(14061,plain,
% 7.81/5.58 (~always3(s187)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11956, 14060])).
% 7.81/5.58 tff(14062,plain,
% 7.81/5.58 (~always3(s186)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11900, 14061])).
% 7.81/5.58 tff(14063,plain,
% 7.81/5.58 (~always3(s185)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11844, 14062])).
% 7.81/5.58 tff(14064,plain,
% 7.81/5.58 (~always3(s184)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11788, 14063])).
% 7.81/5.58 tff(14065,plain,
% 7.81/5.58 (~always3(s183)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11732, 14064])).
% 7.81/5.58 tff(14066,plain,
% 7.81/5.58 (~always3(s182)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11676, 14065])).
% 7.81/5.58 tff(14067,plain,
% 7.81/5.58 (~always3(s181)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11620, 14066])).
% 7.81/5.58 tff(14068,plain,
% 7.81/5.58 (~always3(s180)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11585, 14067])).
% 7.81/5.58 tff(14069,plain,
% 7.81/5.58 (~always3(s179)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11505, 14068])).
% 7.81/5.58 tff(14070,plain,
% 7.81/5.58 (~always3(s178)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11449, 14069])).
% 7.81/5.58 tff(14071,plain,
% 7.81/5.58 (~always3(s177)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11393, 14070])).
% 7.81/5.58 tff(14072,plain,
% 7.81/5.58 (~always3(s176)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11357, 14071])).
% 7.81/5.58 tff(14073,plain,
% 7.81/5.58 (~always3(s175)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11277, 14072])).
% 7.81/5.58 tff(14074,plain,
% 7.81/5.58 (~always3(s174)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11242, 14073])).
% 7.81/5.58 tff(14075,plain,
% 7.81/5.58 (~always3(s173)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11162, 14074])).
% 7.81/5.58 tff(14076,plain,
% 7.81/5.58 (~always3(s172)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11106, 14075])).
% 7.81/5.58 tff(14077,plain,
% 7.81/5.58 (~always3(s171)),
% 7.81/5.58 inference(unit_resolution,[status(thm)],[11050, 14076])).
% 7.81/5.59 tff(14078,plain,
% 7.81/5.59 (~always3(s170)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10977, 14077])).
% 7.81/5.59 tff(14079,plain,
% 7.81/5.59 (~always3(s169)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10921, 14078])).
% 7.81/5.59 tff(14080,plain,
% 7.81/5.59 (~always3(s168)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10865, 14079])).
% 7.81/5.59 tff(14081,plain,
% 7.81/5.59 (~always3(s167)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10809, 14080])).
% 7.81/5.59 tff(14082,plain,
% 7.81/5.59 (~always3(s166)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10753, 14081])).
% 7.81/5.59 tff(14083,plain,
% 7.81/5.59 (~always3(s165)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10697, 14082])).
% 7.81/5.59 tff(14084,plain,
% 7.81/5.59 (~always3(s164)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10635, 14083])).
% 7.81/5.59 tff(14085,plain,
% 7.81/5.59 (~always3(s163)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10582, 14084])).
% 7.81/5.59 tff(14086,plain,
% 7.81/5.59 (~always3(s162)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10526, 14085])).
% 7.81/5.59 tff(14087,plain,
% 7.81/5.59 (~always3(s161)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10464, 14086])).
% 7.81/5.59 tff(14088,plain,
% 7.81/5.59 (~always3(s160)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10411, 14087])).
% 7.81/5.59 tff(14089,plain,
% 7.81/5.59 (~always3(s159)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10355, 14088])).
% 7.81/5.59 tff(14090,plain,
% 7.81/5.59 (~always3(s158)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10299, 14089])).
% 7.81/5.59 tff(14091,plain,
% 7.81/5.59 (~always3(s157)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10243, 14090])).
% 7.81/5.59 tff(14092,plain,
% 7.81/5.59 (~always3(s156)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10187, 14091])).
% 7.81/5.59 tff(14093,plain,
% 7.81/5.59 (~always3(s155)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10131, 14092])).
% 7.81/5.59 tff(14094,plain,
% 7.81/5.59 (~always3(s154)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10075, 14093])).
% 7.81/5.59 tff(14095,plain,
% 7.81/5.59 (~always3(s153)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10019, 14094])).
% 7.81/5.59 tff(14096,plain,
% 7.81/5.59 (~always3(s152)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[9963, 14095])).
% 7.81/5.59 tff(14097,plain,
% 7.81/5.59 (~node4(s152)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[9951, 16, 14096])).
% 7.81/5.59 tff(14098,plain,
% 7.81/5.59 (~node4(s153)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10007, 16, 14095])).
% 7.81/5.59 tff(14099,plain,
% 7.81/5.59 (~node4(s155)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10119, 16, 14093])).
% 7.81/5.59 tff(14100,plain,
% 7.81/5.59 (~node4(s179)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11493, 16, 14069])).
% 7.81/5.59 tff(14101,plain,
% 7.81/5.59 (~node4(s156)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10175, 16, 14092])).
% 7.81/5.59 tff(14102,plain,
% 7.81/5.59 (~node4(s165)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10685, 16, 14083])).
% 7.81/5.59 tff(14103,plain,
% 7.81/5.59 (~node4(s177)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11381, 16, 14071])).
% 7.81/5.59 tff(14104,plain,
% 7.81/5.59 (~node4(s157)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10231, 16, 14091])).
% 7.81/5.59 tff(14105,plain,
% 7.81/5.59 (~node4(s176)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11338, 16, 14072])).
% 7.81/5.59 tff(14106,plain,
% 7.81/5.59 (~node4(s175)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11265, 16, 14073])).
% 7.81/5.59 tff(14107,plain,
% 7.81/5.59 (~node4(s174)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11202, 16, 14074])).
% 7.81/5.59 tff(14108,plain,
% 7.81/5.59 (~node4(s161)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10452, 16, 14087])).
% 7.81/5.59 tff(14109,plain,
% 7.81/5.59 (~node4(s172)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11094, 16, 14076])).
% 7.81/5.59 tff(14110,plain,
% 7.81/5.59 (~node4(s166)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10741, 16, 14082])).
% 7.81/5.59 tff(14111,plain,
% 7.81/5.59 (~node4(s170)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10965, 16, 14078])).
% 7.81/5.59 tff(14112,plain,
% 7.81/5.59 (~node4(s180)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11545, 16, 14068])).
% 7.81/5.59 tff(14113,plain,
% 7.81/5.59 (~node4(s169)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10909, 16, 14079])).
% 7.81/5.59 tff(14114,plain,
% 7.81/5.59 (~node4(s168)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10853, 16, 14080])).
% 7.81/5.59 tff(14115,plain,
% 7.81/5.59 (~node4(s164)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[10623, 16, 14084])).
% 7.81/5.59 tff(14116,plain,
% 7.81/5.59 (xuntil6(s184)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13415, 14115, 14064, 14114, 14113, 14112, 14111, 14110, 14109, 14108, 14107, 14106, 14105, 14104, 14103, 14102, 14101, 14100, 14099, 14098, 14097])).
% 7.81/5.59 tff(14117,plain,
% 7.81/5.59 (until5(s185)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11823, 14116])).
% 7.81/5.59 tff(14118,plain,
% 7.81/5.59 (xuntil6(s185)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11874, 14117])).
% 7.81/5.59 tff(14119,plain,
% 7.81/5.59 (until5(s186)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11879, 14118])).
% 7.81/5.59 tff(14120,plain,
% 7.81/5.59 (xuntil6(s186)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11930, 14119])).
% 7.81/5.59 tff(14121,plain,
% 7.81/5.59 (until5(s187)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11935, 14120])).
% 7.81/5.59 tff(14122,plain,
% 7.81/5.59 (xuntil6(s187)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11986, 14121])).
% 7.81/5.59 tff(14123,plain,
% 7.81/5.59 (until5(s188)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[11991, 14122])).
% 7.81/5.59 tff(14124,plain,
% 7.81/5.59 (xuntil6(s188)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12042, 14123])).
% 7.81/5.59 tff(14125,plain,
% 7.81/5.59 (until5(s189)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12047, 14124])).
% 7.81/5.59 tff(14126,plain,
% 7.81/5.59 (xuntil6(s189)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12098, 14125])).
% 7.81/5.59 tff(14127,plain,
% 7.81/5.59 (until5(s190)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12103, 14126])).
% 7.81/5.59 tff(14128,plain,
% 7.81/5.59 (xuntil6(s190)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12154, 14127])).
% 7.81/5.59 tff(14129,plain,
% 7.81/5.59 (until5(s191)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12159, 14128])).
% 7.81/5.59 tff(14130,plain,
% 7.81/5.59 (xuntil6(s191)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12210, 14129])).
% 7.81/5.59 tff(14131,plain,
% 7.81/5.59 (until5(s192)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12215, 14130])).
% 7.81/5.59 tff(14132,plain,
% 7.81/5.59 (xuntil6(s192)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12266, 14131])).
% 7.81/5.59 tff(14133,plain,
% 7.81/5.59 (until5(s193)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12271, 14132])).
% 7.81/5.59 tff(14134,plain,
% 7.81/5.59 (xuntil6(s193)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12322, 14133])).
% 7.81/5.59 tff(14135,plain,
% 7.81/5.59 (until5(s194)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12327, 14134])).
% 7.81/5.59 tff(14136,plain,
% 7.81/5.59 (xuntil6(s194)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12378, 14135])).
% 7.81/5.59 tff(14137,plain,
% 7.81/5.59 (until5(s195)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12383, 14136])).
% 7.81/5.59 tff(14138,plain,
% 7.81/5.59 (xuntil6(s195)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12433, 352, 14137, 14053])).
% 7.81/5.59 tff(14139,plain,
% 7.81/5.59 (until5(s196)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12439, 14138])).
% 7.81/5.59 tff(14140,plain,
% 7.81/5.59 (~node4(s196)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[12862, 16, 14051])).
% 7.81/5.59 tff(14141,plain,
% 7.81/5.59 (xuntil6(s196) | (~until5(s196))),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13445, 352, 14140])).
% 7.81/5.59 tff(14142,plain,
% 7.81/5.59 (xuntil6(s196)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14141, 14139])).
% 7.81/5.59 tff(14143,plain,
% 7.81/5.59 (until5(s197)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13453, 14142])).
% 7.81/5.59 tff(14144,plain,
% 7.81/5.59 (xuntil6(s197)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13727, 14143])).
% 7.81/5.59 tff(14145,plain,
% 7.81/5.59 (until5(s198)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13465, 14144])).
% 7.81/5.59 tff(14146,plain,
% 7.81/5.59 (xuntil6(s198)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13730, 14145])).
% 7.81/5.59 tff(14147,plain,
% 7.81/5.59 (until5(s199)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13477, 14146])).
% 7.81/5.59 tff(14148,plain,
% 7.81/5.59 (xuntil6(s199)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13733, 14147])).
% 7.81/5.59 tff(14149,plain,
% 7.81/5.59 (until5(s200)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13489, 14148])).
% 7.81/5.59 tff(14150,plain,
% 7.81/5.59 (xuntil6(s200)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13669, 14149])).
% 7.81/5.59 tff(14151,plain,
% 7.81/5.59 (until5(s201)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13667, 14150])).
% 7.81/5.59 tff(14152,plain,
% 7.81/5.59 (xuntil6(s201)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13662, 14151])).
% 7.81/5.59 tff(14153,plain,
% 7.81/5.59 (until5(s202)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13654, 14152])).
% 7.81/5.59 tff(14154,plain,
% 7.81/5.59 ($false),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13649, 14153, 14050])).
% 7.81/5.59 tff(14155,plain,(always3(s211) | node4(s201) | node4(s200) | node4(s204) | node4(s199) | node4(s205) | node4(s198) | node4(s206) | node4(s197) | node4(s207) | node4(s209) | xuntil6(s211)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.59 tff(14156,plain,
% 7.81/5.59 ($false),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14155, 14016, 14015, 13991, 13992, 14014, 14013, 14012, 14011, 14010, 14005, 14004, 14003])).
% 7.81/5.59 tff(14157,plain,(always3(s211) | xuntil6(s211)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.59 tff(14158,plain,
% 7.81/5.59 (always3(s211)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14157, 13991])).
% 7.81/5.59 tff(14159,plain,
% 7.81/5.59 (succ(s211, s212) <=> succ(s211, s212)),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14160,axiom,(succ(s211, s212)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound212')).
% 7.81/5.59 tff(14161,plain,
% 7.81/5.59 (succ(s211, s212)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14160, 14159])).
% 7.81/5.59 tff(14162,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14163,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s211, s212)) | trans(s211, s212))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14164,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s211, s212)) | trans(s211, s212)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14163, 14162])).
% 7.81/5.59 tff(14165,plain,
% 7.81/5.59 (trans(s211, s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14164, 14161, 39])).
% 7.81/5.59 tff(14166,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14167,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s211, s212)) | (~always3(s211)) | always3(s212))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14168,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s211, s212)) | (~always3(s211)) | always3(s212)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14167, 14166])).
% 7.81/5.59 tff(14169,plain,
% 7.81/5.59 ((~always3(s211)) | always3(s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14168, 112, 14165])).
% 7.81/5.59 tff(14170,plain,
% 7.81/5.59 (always3(s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14169, 14158])).
% 7.81/5.59 tff(14171,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14172,plain,
% 7.81/5.59 (((~m_main_v_state(s212, c_busy)) | (~always3(s212))) <=> ((~always3(s212)) | (~m_main_v_state(s212, c_busy)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14173,plain,
% 7.81/5.59 (((~![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))))),
% 7.81/5.59 inference(monotonicity,[status(thm)],[14172])).
% 7.81/5.59 tff(14174,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(transitivity,[status(thm)],[14173, 14171])).
% 7.81/5.59 tff(14175,plain,
% 7.81/5.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s212, c_busy)) | (~always3(s212)))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14176,plain,
% 7.81/5.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s212)) | (~m_main_v_state(s212, c_busy))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14175, 14174])).
% 7.81/5.59 tff(14177,plain,
% 7.81/5.59 (~m_main_v_state(s212, c_busy)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14176, 72, 14170])).
% 7.81/5.59 tff(14178,assumption,(until5(s211)), introduced(assumption)).
% 7.81/5.59 tff(14179,plain,
% 7.81/5.59 (xuntil6(s211) | node4(s211)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14027, 352, 14178])).
% 7.81/5.59 tff(14180,plain,
% 7.81/5.59 (node4(s211)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14179, 13991])).
% 7.81/5.59 tff(14181,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14182,plain,
% 7.81/5.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s211) | (~node4(s211)))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14183,plain,
% 7.81/5.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s211) | (~node4(s211))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14182, 14181])).
% 7.81/5.59 tff(14184,plain,
% 7.81/5.59 (m_main_v_request(s211)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14183, 28, 14180])).
% 7.81/5.59 tff(14185,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14186,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s211, s212)) | node2(s211, s212))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14187,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s211, s212)) | node2(s211, s212)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14186, 14185])).
% 7.81/5.59 tff(14188,plain,
% 7.81/5.59 (node2(s211, s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14187, 7, 14165])).
% 7.81/5.59 tff(14189,plain,
% 7.81/5.59 (((~![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(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)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14190,plain,
% 7.81/5.59 ((~![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(s211, c_ready)) | (~node2(s211, s212)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211)))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14191,plain,
% 7.81/5.59 ((~![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(s211, c_ready)) | (~node2(s211, s212)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14190, 14189])).
% 7.81/5.59 tff(14192,plain,
% 7.81/5.59 ((~m_main_v_state(s211, c_ready)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211))),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14191, 60, 14188])).
% 7.81/5.59 tff(14193,plain,
% 7.81/5.59 (~m_main_v_state(s211, c_ready)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14192, 14184, 14177])).
% 7.81/5.59 tff(14194,plain,
% 7.81/5.59 (~m_main_v_state(s211, c_busy)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[13961, 72, 14158])).
% 7.81/5.59 tff(14195,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14196,plain,
% 7.81/5.59 ((~![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))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14197,plain,
% 7.81/5.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s211, c_busy) | m_main_v_state(s211, c_ready)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14196, 14195])).
% 7.81/5.59 tff(14198,plain,
% 7.81/5.59 ($false),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14197, 89, 14194, 14193])).
% 7.81/5.59 tff(14199,plain,(xuntil6(s211) | (~until5(s211))), inference(lemma,lemma(discharge,[]))).
% 7.81/5.59 tff(14200,plain,
% 7.81/5.59 (xuntil6(s211)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14199, 13990])).
% 7.81/5.59 tff(14201,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14202,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14203,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14202, 14201])).
% 7.81/5.59 tff(14204,plain,
% 7.81/5.59 ((~xuntil6(s211)) | until5(s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14203, 14161, 370])).
% 7.81/5.59 tff(14205,plain,
% 7.81/5.59 (until5(s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14204, 14200])).
% 7.81/5.59 tff(14206,assumption,(~xuntil6(s213)), introduced(assumption)).
% 7.81/5.59 tff(14207,assumption,(until5(s212)), introduced(assumption)).
% 7.81/5.59 tff(14208,assumption,(~always3(s213)), introduced(assumption)).
% 7.81/5.59 tff(14209,plain,
% 7.81/5.59 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s213) | (~node4(s213)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s213) | (~node4(s213)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14210,plain,
% 7.81/5.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s213) | (~node4(s213)))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14211,plain,
% 7.81/5.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s213) | (~node4(s213))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14210, 14209])).
% 7.81/5.59 tff(14212,plain,
% 7.81/5.59 (~node4(s213)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14211, 16, 14208])).
% 7.81/5.59 tff(14213,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14214,plain,
% 7.81/5.59 ((node4(s213) | (~until5(s213)) | xuntil6(s213)) <=> (xuntil6(s213) | node4(s213) | (~until5(s213)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14215,plain,
% 7.81/5.59 (((~![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))))),
% 7.81/5.59 inference(monotonicity,[status(thm)],[14214])).
% 7.81/5.59 tff(14216,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(transitivity,[status(thm)],[14215, 14213])).
% 7.81/5.59 tff(14217,plain,
% 7.81/5.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s213) | (~until5(s213)) | xuntil6(s213))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14218,plain,
% 7.81/5.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s213) | node4(s213) | (~until5(s213))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14217, 14216])).
% 7.81/5.59 tff(14219,plain,
% 7.81/5.59 (node4(s213) | (~until5(s213))),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14218, 352, 14206])).
% 7.81/5.59 tff(14220,plain,
% 7.81/5.59 (~until5(s213)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14219, 14212])).
% 7.81/5.59 tff(14221,plain,
% 7.81/5.59 (succ(s212, s213) <=> succ(s212, s213)),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14222,axiom,(succ(s212, s213)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound213')).
% 7.81/5.59 tff(14223,plain,
% 7.81/5.59 (succ(s212, s213)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14222, 14221])).
% 7.81/5.59 tff(14224,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14225,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s212, s213)) | trans(s212, s213))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14226,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s212, s213)) | trans(s212, s213)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14225, 14224])).
% 7.81/5.59 tff(14227,plain,
% 7.81/5.59 (trans(s212, s213)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14226, 14223, 39])).
% 7.81/5.59 tff(14228,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14229,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s212, s213)) | (~always3(s212)) | always3(s213))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14230,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s212, s213)) | (~always3(s212)) | always3(s213)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14229, 14228])).
% 7.81/5.59 tff(14231,plain,
% 7.81/5.59 ((~always3(s212)) | always3(s213)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14230, 112, 14227])).
% 7.81/5.59 tff(14232,plain,
% 7.81/5.59 (~always3(s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14231, 14208])).
% 7.81/5.59 tff(14233,plain,
% 7.81/5.59 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s212) | (~node4(s212)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s212) | (~node4(s212)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14234,plain,
% 7.81/5.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s212) | (~node4(s212)))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14235,plain,
% 7.81/5.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s212) | (~node4(s212))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14234, 14233])).
% 7.81/5.59 tff(14236,plain,
% 7.81/5.59 (~node4(s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14235, 16, 14232])).
% 7.81/5.59 tff(14237,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14238,plain,
% 7.81/5.59 ((node4(s212) | (~until5(s212)) | xuntil6(s212)) <=> (xuntil6(s212) | node4(s212) | (~until5(s212)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14239,plain,
% 7.81/5.59 (((~![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))))),
% 7.81/5.59 inference(monotonicity,[status(thm)],[14238])).
% 7.81/5.59 tff(14240,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(transitivity,[status(thm)],[14239, 14237])).
% 7.81/5.59 tff(14241,plain,
% 7.81/5.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s212) | (~until5(s212)) | xuntil6(s212))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14242,plain,
% 7.81/5.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s212) | node4(s212) | (~until5(s212))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14241, 14240])).
% 7.81/5.59 tff(14243,plain,
% 7.81/5.59 (xuntil6(s212) | node4(s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14242, 352, 14207])).
% 7.81/5.59 tff(14244,plain,
% 7.81/5.59 (xuntil6(s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14243, 14236])).
% 7.81/5.59 tff(14245,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14246,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14247,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14246, 14245])).
% 7.81/5.59 tff(14248,plain,
% 7.81/5.59 ((~xuntil6(s212)) | until5(s213)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14247, 14223, 370])).
% 7.81/5.59 tff(14249,plain,
% 7.81/5.59 ($false),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14248, 14244, 14220])).
% 7.81/5.59 tff(14250,plain,(always3(s213) | (~until5(s212)) | xuntil6(s213)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.59 tff(14251,plain,
% 7.81/5.59 (always3(s213)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14250, 14207, 14206])).
% 7.81/5.59 tff(14252,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14253,plain,
% 7.81/5.59 (((~m_main_v_state(s213, c_busy)) | (~always3(s213))) <=> ((~always3(s213)) | (~m_main_v_state(s213, c_busy)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14254,plain,
% 7.81/5.59 (((~![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))))),
% 7.81/5.59 inference(monotonicity,[status(thm)],[14253])).
% 7.81/5.59 tff(14255,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(transitivity,[status(thm)],[14254, 14252])).
% 7.81/5.59 tff(14256,plain,
% 7.81/5.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s213, c_busy)) | (~always3(s213)))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14257,plain,
% 7.81/5.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s213)) | (~m_main_v_state(s213, c_busy))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14256, 14255])).
% 7.81/5.59 tff(14258,plain,
% 7.81/5.59 (~m_main_v_state(s213, c_busy)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14257, 72, 14251])).
% 7.81/5.59 tff(14259,plain,
% 7.81/5.59 (succ(s213, s214) <=> succ(s213, s214)),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14260,axiom,(succ(s213, s214)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound214')).
% 7.81/5.59 tff(14261,plain,
% 7.81/5.59 (succ(s213, s214)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14260, 14259])).
% 7.81/5.59 tff(14262,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14263,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s213, s214)) | trans(s213, s214))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14264,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s213, s214)) | trans(s213, s214)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14263, 14262])).
% 7.81/5.59 tff(14265,plain,
% 7.81/5.59 (trans(s213, s214)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14264, 14261, 39])).
% 7.81/5.59 tff(14266,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14267,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s213, s214)) | (~always3(s213)) | always3(s214))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14268,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s213, s214)) | (~always3(s213)) | always3(s214)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14267, 14266])).
% 7.81/5.59 tff(14269,plain,
% 7.81/5.59 ((~always3(s213)) | always3(s214)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14268, 112, 14265])).
% 7.81/5.59 tff(14270,plain,
% 7.81/5.59 (always3(s214)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14269, 14251])).
% 7.81/5.59 tff(14271,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14272,plain,
% 7.81/5.59 (((~m_main_v_state(s214, c_busy)) | (~always3(s214))) <=> ((~always3(s214)) | (~m_main_v_state(s214, c_busy)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14273,plain,
% 7.81/5.59 (((~![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))))),
% 7.81/5.59 inference(monotonicity,[status(thm)],[14272])).
% 7.81/5.59 tff(14274,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(transitivity,[status(thm)],[14273, 14271])).
% 7.81/5.59 tff(14275,plain,
% 7.81/5.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s214, c_busy)) | (~always3(s214)))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14276,plain,
% 7.81/5.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s214)) | (~m_main_v_state(s214, c_busy))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14275, 14274])).
% 7.81/5.59 tff(14277,plain,
% 7.81/5.59 (~m_main_v_state(s214, c_busy)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14276, 72, 14270])).
% 7.81/5.59 tff(14278,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14279,plain,
% 7.81/5.59 ((~![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))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14280,plain,
% 7.81/5.59 ((~![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)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14279, 14278])).
% 7.81/5.59 tff(14281,plain,
% 7.81/5.59 (m_main_v_state(s213, c_ready)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14280, 89, 14258])).
% 7.81/5.59 tff(14282,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14283,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s213, s214)) | node2(s213, s214))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14284,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s213, s214)) | node2(s213, s214)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14283, 14282])).
% 7.81/5.59 tff(14285,plain,
% 7.81/5.59 (node2(s213, s214)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14284, 7, 14265])).
% 7.81/5.59 tff(14286,plain,
% 7.81/5.59 (((~![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(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)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14287,plain,
% 7.81/5.59 ((~![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(s213, c_ready)) | (~node2(s213, s214)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213)))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14288,plain,
% 7.81/5.59 ((~![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(s213, c_ready)) | (~node2(s213, s214)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14287, 14286])).
% 7.81/5.59 tff(14289,plain,
% 7.81/5.59 ((~m_main_v_state(s213, c_ready)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213))),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14288, 60, 14285])).
% 7.81/5.59 tff(14290,plain,
% 7.81/5.59 (~m_main_v_request(s213)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14289, 14281, 14277])).
% 7.81/5.59 tff(14291,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14292,plain,
% 7.81/5.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s213) | (~node4(s213)))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14293,plain,
% 7.81/5.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s213) | (~node4(s213))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14292, 14291])).
% 7.81/5.59 tff(14294,plain,
% 7.81/5.59 (~node4(s213)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14293, 28, 14290])).
% 7.81/5.59 tff(14295,plain,
% 7.81/5.59 (~until5(s213)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14219, 14294])).
% 7.81/5.59 tff(14296,plain,
% 7.81/5.59 (~xuntil6(s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14248, 14295])).
% 7.81/5.59 tff(14297,plain,
% 7.81/5.59 (node4(s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14243, 14296])).
% 7.81/5.59 tff(14298,plain,
% 7.81/5.59 (((~![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)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14299,plain,
% 7.81/5.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s212) | (~node4(s212)))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14300,plain,
% 7.81/5.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s212) | (~node4(s212))),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14299, 14298])).
% 7.81/5.59 tff(14301,plain,
% 7.81/5.59 (m_main_v_request(s212)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14300, 28, 14297])).
% 7.81/5.59 tff(14302,plain,
% 7.81/5.59 (((~![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))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14303,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s212, s213)) | node2(s212, s213))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14304,plain,
% 7.81/5.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s212, s213)) | node2(s212, s213)),
% 7.81/5.59 inference(modus_ponens,[status(thm)],[14303, 14302])).
% 7.81/5.59 tff(14305,plain,
% 7.81/5.59 (node2(s212, s213)),
% 7.81/5.59 inference(unit_resolution,[status(thm)],[14304, 7, 14227])).
% 7.81/5.59 tff(14306,plain,
% 7.81/5.59 (((~![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(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)))),
% 7.81/5.59 inference(rewrite,[status(thm)],[])).
% 7.81/5.59 tff(14307,plain,
% 7.81/5.59 ((~![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(s212, c_ready)) | (~node2(s212, s213)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212)))),
% 7.81/5.59 inference(quant_inst,[status(thm)],[])).
% 7.81/5.59 tff(14308,plain,
% 7.81/5.60 ((~![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(s212, c_ready)) | (~node2(s212, s213)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14307, 14306])).
% 7.81/5.60 tff(14309,plain,
% 7.81/5.60 ((~m_main_v_state(s212, c_ready)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212))),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14308, 60, 14305])).
% 7.81/5.60 tff(14310,plain,
% 7.81/5.60 (~m_main_v_state(s212, c_ready)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14309, 14301, 14258])).
% 7.81/5.60 tff(14311,plain,
% 7.81/5.60 (always3(s212)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14235, 16, 14297])).
% 7.81/5.60 tff(14312,plain,
% 7.81/5.60 (~m_main_v_state(s212, c_busy)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14176, 72, 14311])).
% 7.81/5.60 tff(14313,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14314,plain,
% 7.81/5.60 ((~![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))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14315,plain,
% 7.81/5.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s212, c_busy) | m_main_v_state(s212, c_ready)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14314, 14313])).
% 7.81/5.60 tff(14316,plain,
% 7.81/5.60 ($false),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14315, 89, 14312, 14310])).
% 7.81/5.60 tff(14317,plain,((~until5(s212)) | xuntil6(s213)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.60 tff(14318,plain,
% 7.81/5.60 (xuntil6(s213)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14317, 14205])).
% 7.81/5.60 tff(14319,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14320,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14321,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14320, 14319])).
% 7.81/5.60 tff(14322,plain,
% 7.81/5.60 ((~xuntil6(s213)) | until5(s214)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14321, 14261, 370])).
% 7.81/5.60 tff(14323,plain,
% 7.81/5.60 (until5(s214)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14322, 14318])).
% 7.81/5.60 tff(14324,assumption,(node4(s214)), introduced(assumption)).
% 7.81/5.60 tff(14325,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14326,plain,
% 7.81/5.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s214) | (~node4(s214)))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14327,plain,
% 7.81/5.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s214) | (~node4(s214))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14326, 14325])).
% 7.81/5.60 tff(14328,plain,
% 7.81/5.60 (m_main_v_request(s214)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14327, 28, 14324])).
% 7.81/5.60 tff(14329,plain,
% 7.81/5.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s214) | (~node4(s214)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s214) | (~node4(s214)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14330,plain,
% 7.81/5.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s214) | (~node4(s214)))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14331,plain,
% 7.81/5.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s214) | (~node4(s214))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14330, 14329])).
% 7.81/5.60 tff(14332,plain,
% 7.81/5.60 (always3(s214)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14331, 16, 14324])).
% 7.81/5.60 tff(14333,plain,
% 7.81/5.60 (succ(s214, s215) <=> succ(s214, s215)),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14334,axiom,(succ(s214, s215)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound215')).
% 7.81/5.60 tff(14335,plain,
% 7.81/5.60 (succ(s214, s215)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14334, 14333])).
% 7.81/5.60 tff(14336,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14337,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s214, s215)) | trans(s214, s215))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14338,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s214, s215)) | trans(s214, s215)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14337, 14336])).
% 7.81/5.60 tff(14339,plain,
% 7.81/5.60 (trans(s214, s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14338, 14335, 39])).
% 7.81/5.60 tff(14340,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14341,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s214, s215)) | (~always3(s214)) | always3(s215))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14342,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s214, s215)) | (~always3(s214)) | always3(s215)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14341, 14340])).
% 7.81/5.60 tff(14343,plain,
% 7.81/5.60 ((~always3(s214)) | always3(s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14342, 112, 14339])).
% 7.81/5.60 tff(14344,plain,
% 7.81/5.60 (always3(s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14343, 14332])).
% 7.81/5.60 tff(14345,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14346,plain,
% 7.81/5.60 (((~m_main_v_state(s215, c_busy)) | (~always3(s215))) <=> ((~always3(s215)) | (~m_main_v_state(s215, c_busy)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14347,plain,
% 7.81/5.60 (((~![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))))),
% 7.81/5.60 inference(monotonicity,[status(thm)],[14346])).
% 7.81/5.60 tff(14348,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(transitivity,[status(thm)],[14347, 14345])).
% 7.81/5.60 tff(14349,plain,
% 7.81/5.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s215, c_busy)) | (~always3(s215)))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14350,plain,
% 7.81/5.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s215)) | (~m_main_v_state(s215, c_busy))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14349, 14348])).
% 7.81/5.60 tff(14351,plain,
% 7.81/5.60 (~m_main_v_state(s215, c_busy)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14350, 72, 14344])).
% 7.81/5.60 tff(14352,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14353,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s214, s215)) | node2(s214, s215))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14354,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s214, s215)) | node2(s214, s215)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14353, 14352])).
% 7.81/5.60 tff(14355,plain,
% 7.81/5.60 (node2(s214, s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14354, 7, 14339])).
% 7.81/5.60 tff(14356,plain,
% 7.81/5.60 (((~![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(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)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14357,plain,
% 7.81/5.60 ((~![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(s214, c_ready)) | (~node2(s214, s215)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214)))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14358,plain,
% 7.81/5.60 ((~![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(s214, c_ready)) | (~node2(s214, s215)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14357, 14356])).
% 7.81/5.60 tff(14359,plain,
% 7.81/5.60 ((~m_main_v_state(s214, c_ready)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214))),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14358, 60, 14355])).
% 7.81/5.60 tff(14360,plain,
% 7.81/5.60 (~m_main_v_state(s214, c_ready)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14359, 14351, 14328])).
% 7.81/5.60 tff(14361,plain,
% 7.81/5.60 (~m_main_v_state(s214, c_busy)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14276, 72, 14332])).
% 7.81/5.60 tff(14362,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14363,plain,
% 7.81/5.60 ((~![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))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14364,plain,
% 7.81/5.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s214, c_busy) | m_main_v_state(s214, c_ready)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14363, 14362])).
% 7.81/5.60 tff(14365,plain,
% 7.81/5.60 ($false),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14364, 89, 14361, 14360])).
% 7.81/5.60 tff(14366,plain,(~node4(s214)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.60 tff(14367,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14368,plain,
% 7.81/5.60 ((node4(s214) | (~until5(s214)) | xuntil6(s214)) <=> (xuntil6(s214) | node4(s214) | (~until5(s214)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14369,plain,
% 7.81/5.60 (((~![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))))),
% 7.81/5.60 inference(monotonicity,[status(thm)],[14368])).
% 7.81/5.60 tff(14370,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(transitivity,[status(thm)],[14369, 14367])).
% 7.81/5.60 tff(14371,plain,
% 7.81/5.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s214) | (~until5(s214)) | xuntil6(s214))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14372,plain,
% 7.81/5.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s214) | node4(s214) | (~until5(s214))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14371, 14370])).
% 7.81/5.60 tff(14373,plain,
% 7.81/5.60 (xuntil6(s214) | (~until5(s214))),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14372, 352, 14366])).
% 7.81/5.60 tff(14374,plain,
% 7.81/5.60 (xuntil6(s214)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14373, 14323])).
% 7.81/5.60 tff(14375,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14376,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14377,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14376, 14375])).
% 7.81/5.60 tff(14378,plain,
% 7.81/5.60 ((~xuntil6(s214)) | until5(s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14377, 14335, 370])).
% 7.81/5.60 tff(14379,plain,
% 7.81/5.60 (until5(s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14378, 14374])).
% 7.81/5.60 tff(14380,assumption,(node4(s215)), introduced(assumption)).
% 7.81/5.60 tff(14381,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14382,plain,
% 7.81/5.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s215) | (~node4(s215)))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14383,plain,
% 7.81/5.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s215) | (~node4(s215))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14382, 14381])).
% 7.81/5.60 tff(14384,plain,
% 7.81/5.60 (m_main_v_request(s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14383, 28, 14380])).
% 7.81/5.60 tff(14385,plain,
% 7.81/5.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s215) | (~node4(s215)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s215) | (~node4(s215)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14386,plain,
% 7.81/5.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s215) | (~node4(s215)))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14387,plain,
% 7.81/5.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s215) | (~node4(s215))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14386, 14385])).
% 7.81/5.60 tff(14388,plain,
% 7.81/5.60 (always3(s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14387, 16, 14380])).
% 7.81/5.60 tff(14389,plain,
% 7.81/5.60 (succ(s215, s216) <=> succ(s215, s216)),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14390,axiom,(succ(s215, s216)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound216')).
% 7.81/5.60 tff(14391,plain,
% 7.81/5.60 (succ(s215, s216)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14390, 14389])).
% 7.81/5.60 tff(14392,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14393,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s215, s216)) | trans(s215, s216))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14394,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s215, s216)) | trans(s215, s216)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14393, 14392])).
% 7.81/5.60 tff(14395,plain,
% 7.81/5.60 (trans(s215, s216)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14394, 14391, 39])).
% 7.81/5.60 tff(14396,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14397,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s215, s216)) | (~always3(s215)) | always3(s216))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14398,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s215, s216)) | (~always3(s215)) | always3(s216)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14397, 14396])).
% 7.81/5.60 tff(14399,plain,
% 7.81/5.60 ((~always3(s215)) | always3(s216)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14398, 112, 14395])).
% 7.81/5.60 tff(14400,plain,
% 7.81/5.60 (always3(s216)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14399, 14388])).
% 7.81/5.60 tff(14401,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14402,plain,
% 7.81/5.60 (((~m_main_v_state(s216, c_busy)) | (~always3(s216))) <=> ((~always3(s216)) | (~m_main_v_state(s216, c_busy)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14403,plain,
% 7.81/5.60 (((~![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))))),
% 7.81/5.60 inference(monotonicity,[status(thm)],[14402])).
% 7.81/5.60 tff(14404,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(transitivity,[status(thm)],[14403, 14401])).
% 7.81/5.60 tff(14405,plain,
% 7.81/5.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s216, c_busy)) | (~always3(s216)))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14406,plain,
% 7.81/5.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s216)) | (~m_main_v_state(s216, c_busy))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 7.81/5.60 tff(14407,plain,
% 7.81/5.60 (~m_main_v_state(s216, c_busy)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14406, 72, 14400])).
% 7.81/5.60 tff(14408,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14409,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s215, s216)) | node2(s215, s216))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14410,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s215, s216)) | node2(s215, s216)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 7.81/5.60 tff(14411,plain,
% 7.81/5.60 (node2(s215, s216)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14410, 7, 14395])).
% 7.81/5.60 tff(14412,plain,
% 7.81/5.60 (((~![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(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)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14413,plain,
% 7.81/5.60 ((~![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(s215, c_ready)) | (~node2(s215, s216)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215)))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14414,plain,
% 7.81/5.60 ((~![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(s215, c_ready)) | (~node2(s215, s216)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14413, 14412])).
% 7.81/5.60 tff(14415,plain,
% 7.81/5.60 ((~m_main_v_state(s215, c_ready)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215))),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14414, 60, 14411])).
% 7.81/5.60 tff(14416,plain,
% 7.81/5.60 (~m_main_v_state(s215, c_ready)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14415, 14407, 14384])).
% 7.81/5.60 tff(14417,plain,
% 7.81/5.60 (~m_main_v_state(s215, c_busy)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14350, 72, 14388])).
% 7.81/5.60 tff(14418,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14419,plain,
% 7.81/5.60 ((~![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))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14420,plain,
% 7.81/5.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s215, c_busy) | m_main_v_state(s215, c_ready)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14419, 14418])).
% 7.81/5.60 tff(14421,plain,
% 7.81/5.60 ($false),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14420, 89, 14417, 14416])).
% 7.81/5.60 tff(14422,plain,(~node4(s215)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.60 tff(14423,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14424,plain,
% 7.81/5.60 ((node4(s215) | (~until5(s215)) | xuntil6(s215)) <=> (xuntil6(s215) | node4(s215) | (~until5(s215)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14425,plain,
% 7.81/5.60 (((~![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))))),
% 7.81/5.60 inference(monotonicity,[status(thm)],[14424])).
% 7.81/5.60 tff(14426,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(transitivity,[status(thm)],[14425, 14423])).
% 7.81/5.60 tff(14427,plain,
% 7.81/5.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s215) | (~until5(s215)) | xuntil6(s215))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14428,plain,
% 7.81/5.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s215) | node4(s215) | (~until5(s215))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14427, 14426])).
% 7.81/5.60 tff(14429,plain,
% 7.81/5.60 (xuntil6(s215) | (~until5(s215))),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14428, 352, 14422])).
% 7.81/5.60 tff(14430,plain,
% 7.81/5.60 (xuntil6(s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14429, 14379])).
% 7.81/5.60 tff(14431,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14432,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14433,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14432, 14431])).
% 7.81/5.60 tff(14434,plain,
% 7.81/5.60 ((~xuntil6(s215)) | until5(s216)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14433, 14391, 370])).
% 7.81/5.60 tff(14435,plain,
% 7.81/5.60 (until5(s216)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14434, 14430])).
% 7.81/5.60 tff(14436,assumption,(~xuntil6(s216)), introduced(assumption)).
% 7.81/5.60 tff(14437,assumption,(~always3(s216)), introduced(assumption)).
% 7.81/5.60 tff(14438,plain,
% 7.81/5.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s216) | (~node4(s216)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s216) | (~node4(s216)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14439,plain,
% 7.81/5.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s216) | (~node4(s216)))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14440,plain,
% 7.81/5.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s216) | (~node4(s216))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14439, 14438])).
% 7.81/5.60 tff(14441,plain,
% 7.81/5.60 (~node4(s216)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14440, 16, 14437])).
% 7.81/5.60 tff(14442,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14443,plain,
% 7.81/5.60 ((node4(s216) | (~until5(s216)) | xuntil6(s216)) <=> (xuntil6(s216) | node4(s216) | (~until5(s216)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14444,plain,
% 7.81/5.60 (((~![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))))),
% 7.81/5.60 inference(monotonicity,[status(thm)],[14443])).
% 7.81/5.60 tff(14445,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(transitivity,[status(thm)],[14444, 14442])).
% 7.81/5.60 tff(14446,plain,
% 7.81/5.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s216) | (~until5(s216)) | xuntil6(s216))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14447,plain,
% 7.81/5.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s216) | node4(s216) | (~until5(s216))),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14446, 14445])).
% 7.81/5.60 tff(14448,plain,
% 7.81/5.60 (node4(s216) | (~until5(s216))),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14447, 352, 14436])).
% 7.81/5.60 tff(14449,plain,
% 7.81/5.60 (~until5(s216)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14448, 14441])).
% 7.81/5.60 tff(14450,plain,
% 7.81/5.60 (~xuntil6(s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14434, 14449])).
% 7.81/5.60 tff(14451,plain,
% 7.81/5.60 (~until5(s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14429, 14450])).
% 7.81/5.60 tff(14452,plain,
% 7.81/5.60 (~xuntil6(s214)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14378, 14451])).
% 7.81/5.60 tff(14453,plain,
% 7.81/5.60 (~always3(s215)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14399, 14437])).
% 7.81/5.60 tff(14454,plain,
% 7.81/5.60 (~always3(s214)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14343, 14453])).
% 7.81/5.60 tff(14455,plain,
% 7.81/5.60 (~always3(s213)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14269, 14454])).
% 7.81/5.60 tff(14456,plain,
% 7.81/5.60 (~always3(s212)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14231, 14455])).
% 7.81/5.60 tff(14457,plain,
% 7.81/5.60 (~always3(s211)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14169, 14456])).
% 7.81/5.60 tff(14458,plain,
% 7.81/5.60 (~always3(s210)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[13954, 14457])).
% 7.81/5.60 tff(14459,plain,
% 7.81/5.60 (~always3(s209)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[13898, 14458])).
% 7.81/5.60 tff(14460,plain,
% 7.81/5.60 (~always3(s208)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[13748, 14459])).
% 7.81/5.60 tff(14461,plain,
% 7.81/5.60 (~always3(s207)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12647, 14460])).
% 7.81/5.60 tff(14462,plain,
% 7.81/5.60 (~always3(s206)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12696, 14461])).
% 7.81/5.60 tff(14463,plain,
% 7.81/5.60 (~always3(s205)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12831, 14462])).
% 7.81/5.60 tff(14464,plain,
% 7.81/5.60 (~always3(s204)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12736, 14463])).
% 7.81/5.60 tff(14465,plain,
% 7.81/5.60 (~always3(s203)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[13513, 14464])).
% 7.81/5.60 tff(14466,plain,
% 7.81/5.60 (~always3(s202)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[13619, 14465])).
% 7.81/5.60 tff(14467,plain,
% 7.81/5.60 (~always3(s201)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12509, 14466])).
% 7.81/5.60 tff(14468,plain,
% 7.81/5.60 (~node4(s201)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12497, 16, 14467])).
% 7.81/5.60 tff(14469,plain,
% 7.81/5.60 (~node4(s209)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[13886, 16, 14459])).
% 7.81/5.60 tff(14470,plain,
% 7.81/5.60 (~node4(s207)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12635, 16, 14461])).
% 7.81/5.60 tff(14471,plain,
% 7.81/5.60 (~always3(s200)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12558, 14467])).
% 7.81/5.60 tff(14472,plain,
% 7.81/5.60 (~always3(s199)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12460, 14471])).
% 7.81/5.60 tff(14473,plain,
% 7.81/5.60 (~always3(s198)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12788, 14472])).
% 7.81/5.60 tff(14474,plain,
% 7.81/5.60 (~always3(s197)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12592, 14473])).
% 7.81/5.60 tff(14475,plain,
% 7.81/5.60 (~node4(s197)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12580, 16, 14474])).
% 7.81/5.60 tff(14476,plain,
% 7.81/5.60 (~node4(s206)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12684, 16, 14462])).
% 7.81/5.60 tff(14477,plain,
% 7.81/5.60 (~node4(s198)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12776, 16, 14473])).
% 7.81/5.60 tff(14478,plain,
% 7.81/5.60 (~node4(s205)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12819, 16, 14463])).
% 7.81/5.60 tff(14479,plain,
% 7.81/5.60 (~node4(s199)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12448, 16, 14472])).
% 7.81/5.60 tff(14480,plain,
% 7.81/5.60 (~node4(s204)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12724, 16, 14464])).
% 7.81/5.60 tff(14481,plain,
% 7.81/5.60 (~node4(s200)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[12546, 16, 14471])).
% 7.81/5.60 tff(14482,plain,
% 7.81/5.60 (xuntil6(s211)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14155, 14481, 14457, 14480, 14479, 14478, 14477, 14476, 14475, 14470, 14469, 14468])).
% 7.81/5.60 tff(14483,plain,
% 7.81/5.60 (until5(s212)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14204, 14482])).
% 7.81/5.60 tff(14484,plain,
% 7.81/5.60 (xuntil6(s213)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14317, 14483])).
% 7.81/5.60 tff(14485,plain,
% 7.81/5.60 (until5(s214)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14322, 14484])).
% 7.81/5.60 tff(14486,plain,
% 7.81/5.60 ($false),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14373, 14485, 14452])).
% 7.81/5.60 tff(14487,plain,(always3(s216) | xuntil6(s216)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.60 tff(14488,plain,
% 7.81/5.60 (always3(s216)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14487, 14436])).
% 7.81/5.60 tff(14489,plain,
% 7.81/5.60 (succ(s216, s217) <=> succ(s216, s217)),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14490,axiom,(succ(s216, s217)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound217')).
% 7.81/5.60 tff(14491,plain,
% 7.81/5.60 (succ(s216, s217)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14490, 14489])).
% 7.81/5.60 tff(14492,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14493,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s216, s217)) | trans(s216, s217))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14494,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s216, s217)) | trans(s216, s217)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14493, 14492])).
% 7.81/5.60 tff(14495,plain,
% 7.81/5.60 (trans(s216, s217)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14494, 14491, 39])).
% 7.81/5.60 tff(14496,plain,
% 7.81/5.60 (((~![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))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14497,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s216, s217)) | (~always3(s216)) | always3(s217))),
% 7.81/5.60 inference(quant_inst,[status(thm)],[])).
% 7.81/5.60 tff(14498,plain,
% 7.81/5.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s216, s217)) | (~always3(s216)) | always3(s217)),
% 7.81/5.60 inference(modus_ponens,[status(thm)],[14497, 14496])).
% 7.81/5.60 tff(14499,plain,
% 7.81/5.60 ((~always3(s216)) | always3(s217)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14498, 112, 14495])).
% 7.81/5.60 tff(14500,plain,
% 7.81/5.60 (always3(s217)),
% 7.81/5.60 inference(unit_resolution,[status(thm)],[14499, 14488])).
% 7.81/5.60 tff(14501,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14502,plain,
% 7.81/5.60 (((~m_main_v_state(s217, c_busy)) | (~always3(s217))) <=> ((~always3(s217)) | (~m_main_v_state(s217, c_busy)))),
% 7.81/5.60 inference(rewrite,[status(thm)],[])).
% 7.81/5.60 tff(14503,plain,
% 7.81/5.60 (((~![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))))),
% 7.81/5.60 inference(monotonicity,[status(thm)],[14502])).
% 7.81/5.60 tff(14504,plain,
% 7.81/5.60 (((~![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)))),
% 7.81/5.61 inference(transitivity,[status(thm)],[14503, 14501])).
% 7.81/5.61 tff(14505,plain,
% 7.81/5.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s217, c_busy)) | (~always3(s217)))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14506,plain,
% 7.81/5.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s217)) | (~m_main_v_state(s217, c_busy))),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14505, 14504])).
% 7.81/5.61 tff(14507,plain,
% 7.81/5.61 (~m_main_v_state(s217, c_busy)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14506, 72, 14500])).
% 7.81/5.61 tff(14508,assumption,(until5(s216)), introduced(assumption)).
% 7.81/5.61 tff(14509,plain,
% 7.81/5.61 (xuntil6(s216) | node4(s216)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14447, 352, 14508])).
% 7.81/5.61 tff(14510,plain,
% 7.81/5.61 (node4(s216)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14509, 14436])).
% 7.81/5.61 tff(14511,plain,
% 7.81/5.61 (((~![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)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14512,plain,
% 7.81/5.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s216) | (~node4(s216)))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14513,plain,
% 7.81/5.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s216) | (~node4(s216))),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 7.81/5.61 tff(14514,plain,
% 7.81/5.61 (m_main_v_request(s216)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14513, 28, 14510])).
% 7.81/5.61 tff(14515,plain,
% 7.81/5.61 (((~![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))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14516,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s216, s217)) | node2(s216, s217))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14517,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s216, s217)) | node2(s216, s217)),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14516, 14515])).
% 7.81/5.61 tff(14518,plain,
% 7.81/5.61 (node2(s216, s217)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14517, 7, 14495])).
% 7.81/5.61 tff(14519,plain,
% 7.81/5.61 (((~![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(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)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14520,plain,
% 7.81/5.61 ((~![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(s216, c_ready)) | (~node2(s216, s217)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216)))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14521,plain,
% 7.81/5.61 ((~![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(s216, c_ready)) | (~node2(s216, s217)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216))),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14520, 14519])).
% 7.81/5.61 tff(14522,plain,
% 7.81/5.61 ((~m_main_v_state(s216, c_ready)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14521, 60, 14518])).
% 7.81/5.61 tff(14523,plain,
% 7.81/5.61 (~m_main_v_state(s216, c_ready)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14522, 14514, 14507])).
% 7.81/5.61 tff(14524,plain,
% 7.81/5.61 (~m_main_v_state(s216, c_busy)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14406, 72, 14488])).
% 7.81/5.61 tff(14525,plain,
% 7.81/5.61 (((~![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))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14526,plain,
% 7.81/5.61 ((~![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))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14527,plain,
% 7.81/5.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s216, c_busy) | m_main_v_state(s216, c_ready)),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14526, 14525])).
% 7.81/5.61 tff(14528,plain,
% 7.81/5.61 ($false),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14527, 89, 14524, 14523])).
% 7.81/5.61 tff(14529,plain,(xuntil6(s216) | (~until5(s216))), inference(lemma,lemma(discharge,[]))).
% 7.81/5.61 tff(14530,plain,
% 7.81/5.61 (xuntil6(s216)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14529, 14435])).
% 7.81/5.61 tff(14531,plain,
% 7.81/5.61 (((~![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))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14532,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14533,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217)),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14532, 14531])).
% 7.81/5.61 tff(14534,plain,
% 7.81/5.61 ((~xuntil6(s216)) | until5(s217)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14533, 14491, 370])).
% 7.81/5.61 tff(14535,plain,
% 7.81/5.61 (until5(s217)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14534, 14530])).
% 7.81/5.61 tff(14536,assumption,(~xuntil6(s218)), introduced(assumption)).
% 7.81/5.61 tff(14537,assumption,(~always3(s218)), introduced(assumption)).
% 7.81/5.61 tff(14538,plain,
% 7.81/5.61 (succ(s217, s218) <=> succ(s217, s218)),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14539,axiom,(succ(s217, s218)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound218')).
% 7.81/5.61 tff(14540,plain,
% 7.81/5.61 (succ(s217, s218)),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14539, 14538])).
% 7.81/5.61 tff(14541,plain,
% 7.81/5.61 (((~![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))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14542,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s217, s218)) | trans(s217, s218))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14543,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s217, s218)) | trans(s217, s218)),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14542, 14541])).
% 7.81/5.61 tff(14544,plain,
% 7.81/5.61 (trans(s217, s218)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14543, 14540, 39])).
% 7.81/5.61 tff(14545,plain,
% 7.81/5.61 (((~![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))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14546,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s217, s218)) | (~always3(s217)) | always3(s218))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14547,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s217, s218)) | (~always3(s217)) | always3(s218)),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14546, 14545])).
% 7.81/5.61 tff(14548,plain,
% 7.81/5.61 ((~always3(s217)) | always3(s218)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14547, 112, 14544])).
% 7.81/5.61 tff(14549,plain,
% 7.81/5.61 (~always3(s217)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14548, 14537])).
% 7.81/5.61 tff(14550,plain,
% 7.81/5.61 (~always3(s216)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14499, 14549])).
% 7.81/5.61 tff(14551,plain,
% 7.81/5.61 (~always3(s215)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14399, 14550])).
% 7.81/5.61 tff(14552,plain,
% 7.81/5.61 (~node4(s215)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14387, 16, 14551])).
% 7.81/5.61 tff(14553,plain,
% 7.81/5.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s217) | (~node4(s217)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s217) | (~node4(s217)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14554,plain,
% 7.81/5.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s217) | (~node4(s217)))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14555,plain,
% 7.81/5.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s217) | (~node4(s217))),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14554, 14553])).
% 7.81/5.61 tff(14556,plain,
% 7.81/5.61 (~node4(s217)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14555, 16, 14549])).
% 7.81/5.61 tff(14557,plain,
% 7.81/5.61 (~always3(s214)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14343, 14551])).
% 7.81/5.61 tff(14558,plain,
% 7.81/5.61 (~always3(s213)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14269, 14557])).
% 7.81/5.61 tff(14559,plain,
% 7.81/5.61 (~always3(s212)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14231, 14558])).
% 7.81/5.61 tff(14560,plain,
% 7.81/5.61 (~always3(s211)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14169, 14559])).
% 7.81/5.61 tff(14561,plain,
% 7.81/5.61 (~always3(s210)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13954, 14560])).
% 7.81/5.61 tff(14562,plain,
% 7.81/5.61 (~always3(s209)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13898, 14561])).
% 7.81/5.61 tff(14563,plain,
% 7.81/5.61 (~always3(s208)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13748, 14562])).
% 7.81/5.61 tff(14564,plain,
% 7.81/5.61 (~always3(s207)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12647, 14563])).
% 7.81/5.61 tff(14565,plain,
% 7.81/5.61 (~always3(s206)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12696, 14564])).
% 7.81/5.61 tff(14566,plain,
% 7.81/5.61 (~node4(s206)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12684, 16, 14565])).
% 7.81/5.61 tff(14567,plain,
% 7.81/5.61 (~node4(s209)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13886, 16, 14562])).
% 7.81/5.61 tff(14568,plain,
% 7.81/5.61 (~always3(s205)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12831, 14565])).
% 7.81/5.61 tff(14569,plain,
% 7.81/5.61 (~always3(s204)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12736, 14568])).
% 7.81/5.61 tff(14570,plain,
% 7.81/5.61 (~always3(s203)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13513, 14569])).
% 7.81/5.61 tff(14571,plain,
% 7.81/5.61 (~always3(s202)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13619, 14570])).
% 7.81/5.61 tff(14572,plain,
% 7.81/5.61 (~always3(s201)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12509, 14571])).
% 7.81/5.61 tff(14573,plain,
% 7.81/5.61 (~always3(s200)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12558, 14572])).
% 7.81/5.61 tff(14574,plain,
% 7.81/5.61 (~always3(s199)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12460, 14573])).
% 7.81/5.61 tff(14575,plain,
% 7.81/5.61 (~always3(s198)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12788, 14574])).
% 7.81/5.61 tff(14576,plain,
% 7.81/5.61 (~always3(s197)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12592, 14575])).
% 7.81/5.61 tff(14577,plain,
% 7.81/5.61 (~node4(s197)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12580, 16, 14576])).
% 7.81/5.61 tff(14578,plain,
% 7.81/5.61 (~node4(s207)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12635, 16, 14564])).
% 7.81/5.61 tff(14579,plain,
% 7.81/5.61 (~node4(s205)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12819, 16, 14568])).
% 7.81/5.61 tff(14580,plain,
% 7.81/5.61 (~node4(s204)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12724, 16, 14569])).
% 7.81/5.61 tff(14581,plain,
% 7.81/5.61 (~node4(s201)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12497, 16, 14572])).
% 7.81/5.61 tff(14582,plain,
% 7.81/5.61 (~node4(s200)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12546, 16, 14573])).
% 7.81/5.61 tff(14583,plain,
% 7.81/5.61 (~node4(s199)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12448, 16, 14574])).
% 7.81/5.61 tff(14584,plain,
% 7.81/5.61 (~node4(s216)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14440, 16, 14550])).
% 7.81/5.61 tff(14585,plain,
% 7.81/5.61 (~node4(s198)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12776, 16, 14575])).
% 7.81/5.61 tff(14586,assumption,(~node4(s217)), introduced(assumption)).
% 7.81/5.61 tff(14587,plain,
% 7.81/5.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s218) | (~node4(s218)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s218) | (~node4(s218)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14588,plain,
% 7.81/5.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s218) | (~node4(s218)))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14589,plain,
% 7.81/5.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s218) | (~node4(s218))),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14588, 14587])).
% 7.81/5.61 tff(14590,plain,
% 7.81/5.61 (~node4(s218)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14589, 16, 14537])).
% 7.81/5.61 tff(14591,plain,
% 7.81/5.61 (((~![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)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14592,plain,
% 7.81/5.61 ((node4(s218) | (~until5(s218)) | xuntil6(s218)) <=> (xuntil6(s218) | node4(s218) | (~until5(s218)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14593,plain,
% 7.81/5.61 (((~![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))))),
% 7.81/5.61 inference(monotonicity,[status(thm)],[14592])).
% 7.81/5.61 tff(14594,plain,
% 7.81/5.61 (((~![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)))),
% 7.81/5.61 inference(transitivity,[status(thm)],[14593, 14591])).
% 7.81/5.61 tff(14595,plain,
% 7.81/5.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s218) | (~until5(s218)) | xuntil6(s218))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14596,plain,
% 7.81/5.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s218) | node4(s218) | (~until5(s218))),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14595, 14594])).
% 7.81/5.61 tff(14597,plain,
% 7.81/5.61 (node4(s218) | (~until5(s218))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14596, 352, 14536])).
% 7.81/5.61 tff(14598,plain,
% 7.81/5.61 (~until5(s218)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14597, 14590])).
% 7.81/5.61 tff(14599,plain,
% 7.81/5.61 (((~![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))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14600,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14601,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218)),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14600, 14599])).
% 7.81/5.61 tff(14602,plain,
% 7.81/5.61 ((~xuntil6(s217)) | until5(s218)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14601, 14540, 370])).
% 7.81/5.61 tff(14603,plain,
% 7.81/5.61 (~xuntil6(s217)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14602, 14598])).
% 7.81/5.61 tff(14604,plain,
% 7.81/5.61 (((~![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)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14605,plain,
% 7.81/5.61 ((node4(s217) | (~until5(s217)) | xuntil6(s217)) <=> (xuntil6(s217) | node4(s217) | (~until5(s217)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14606,plain,
% 7.81/5.61 (((~![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))))),
% 7.81/5.61 inference(monotonicity,[status(thm)],[14605])).
% 7.81/5.61 tff(14607,plain,
% 7.81/5.61 (((~![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)))),
% 7.81/5.61 inference(transitivity,[status(thm)],[14606, 14604])).
% 7.81/5.61 tff(14608,plain,
% 7.81/5.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s217) | (~until5(s217)) | xuntil6(s217))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14609,plain,
% 7.81/5.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s217) | node4(s217) | (~until5(s217))),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14608, 14607])).
% 7.81/5.61 tff(14610,plain,
% 7.81/5.61 (~until5(s217)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14609, 352, 14603, 14586])).
% 7.81/5.61 tff(14611,plain,
% 7.81/5.61 (~xuntil6(s216)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14534, 14610])).
% 7.81/5.61 tff(14612,assumption,(~node4(s216)), introduced(assumption)).
% 7.81/5.61 tff(14613,plain,
% 7.81/5.61 (xuntil6(s216) | (~until5(s216))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14447, 352, 14612])).
% 7.81/5.61 tff(14614,plain,
% 7.81/5.61 (~until5(s216)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14613, 14611])).
% 7.81/5.61 tff(14615,plain,
% 7.81/5.61 (~xuntil6(s215)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14434, 14614])).
% 7.81/5.61 tff(14616,assumption,(~node4(s215)), introduced(assumption)).
% 7.81/5.61 tff(14617,plain,
% 7.81/5.61 (xuntil6(s215) | (~until5(s215))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14428, 352, 14616])).
% 7.81/5.61 tff(14618,plain,
% 7.81/5.61 (~until5(s215)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14617, 14615])).
% 7.81/5.61 tff(14619,plain,
% 7.81/5.61 (~xuntil6(s214)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14378, 14618])).
% 7.81/5.61 tff(14620,plain,
% 7.81/5.61 (~until5(s214)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14373, 14619])).
% 7.81/5.61 tff(14621,plain,
% 7.81/5.61 (~xuntil6(s213)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14322, 14620])).
% 7.81/5.61 tff(14622,plain,
% 7.81/5.61 (~node4(s213)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14211, 16, 14558])).
% 7.81/5.61 tff(14623,plain,
% 7.81/5.61 (xuntil6(s213) | (~until5(s213))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14218, 352, 14622])).
% 7.81/5.61 tff(14624,plain,
% 7.81/5.61 (~until5(s213)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14623, 14621])).
% 7.81/5.61 tff(14625,plain,
% 7.81/5.61 (~xuntil6(s212)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14248, 14624])).
% 7.81/5.61 tff(14626,plain,
% 7.81/5.61 (~node4(s212)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14235, 16, 14559])).
% 7.81/5.61 tff(14627,plain,
% 7.81/5.61 (xuntil6(s212) | (~until5(s212))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14242, 352, 14626])).
% 7.81/5.61 tff(14628,plain,
% 7.81/5.61 (~until5(s212)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14627, 14625])).
% 7.81/5.61 tff(14629,plain,
% 7.81/5.61 (~xuntil6(s211)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14204, 14628])).
% 7.81/5.61 tff(14630,plain,
% 7.81/5.61 (~node4(s211)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14020, 16, 14560])).
% 7.81/5.61 tff(14631,plain,
% 7.81/5.61 (xuntil6(s211) | (~until5(s211))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14027, 352, 14630])).
% 7.81/5.61 tff(14632,plain,
% 7.81/5.61 (~until5(s211)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14631, 14629])).
% 7.81/5.61 tff(14633,plain,
% 7.81/5.61 (~xuntil6(s210)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13989, 14632])).
% 7.81/5.61 tff(14634,plain,
% 7.81/5.61 (~until5(s210)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13984, 14633])).
% 7.81/5.61 tff(14635,plain,
% 7.81/5.61 (~xuntil6(s209)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13933, 14634])).
% 7.81/5.61 tff(14636,plain,
% 7.81/5.61 (xuntil6(s209) | (~until5(s209))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13927, 352, 14017])).
% 7.81/5.61 tff(14637,plain,
% 7.81/5.61 (~until5(s209)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14636, 14635])).
% 7.81/5.61 tff(14638,plain,
% 7.81/5.61 (~xuntil6(s208)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13877, 14637])).
% 7.81/5.61 tff(14639,plain,
% 7.81/5.61 (~node4(s208)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13521, 16, 14563])).
% 7.81/5.61 tff(14640,plain,
% 7.81/5.61 (xuntil6(s208) | (~until5(s208))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13528, 352, 14639])).
% 7.81/5.61 tff(14641,plain,
% 7.81/5.61 (~until5(s208)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14640, 14638])).
% 7.81/5.61 tff(14642,plain,
% 7.81/5.61 (~xuntil6(s207)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13534, 14641])).
% 7.81/5.61 tff(14643,plain,
% 7.81/5.61 (~until5(s207)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13542, 14642])).
% 7.81/5.61 tff(14644,plain,
% 7.81/5.61 (~xuntil6(s206)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13547, 14643])).
% 7.81/5.61 tff(14645,plain,
% 7.81/5.61 (~until5(s206)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13555, 14644])).
% 7.81/5.61 tff(14646,plain,
% 7.81/5.61 (~xuntil6(s205)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13560, 14645])).
% 7.81/5.61 tff(14647,plain,
% 7.81/5.61 (~until5(s205)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13568, 14646])).
% 7.81/5.61 tff(14648,plain,
% 7.81/5.61 (~xuntil6(s204)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13573, 14647])).
% 7.81/5.61 tff(14649,plain,
% 7.81/5.61 (~until5(s204)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13581, 14648])).
% 7.81/5.61 tff(14650,plain,
% 7.81/5.61 (~xuntil6(s203)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13586, 14649])).
% 7.81/5.61 tff(14651,plain,
% 7.81/5.61 (~node4(s203)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13517, 16, 14570])).
% 7.81/5.61 tff(14652,plain,
% 7.81/5.61 (xuntil6(s203) | (~until5(s203))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13593, 352, 14651])).
% 7.81/5.61 tff(14653,plain,
% 7.81/5.61 (~until5(s203)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14652, 14650])).
% 7.81/5.61 tff(14654,plain,
% 7.81/5.61 (~xuntil6(s202)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13601, 14653])).
% 7.81/5.61 tff(14655,plain,
% 7.81/5.61 (~until5(s202)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13649, 14654])).
% 7.81/5.61 tff(14656,plain,
% 7.81/5.61 (~xuntil6(s201)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13654, 14655])).
% 7.81/5.61 tff(14657,plain,
% 7.81/5.61 (~until5(s201)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13662, 14656])).
% 7.81/5.61 tff(14658,plain,
% 7.81/5.61 (~xuntil6(s200)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13667, 14657])).
% 7.81/5.61 tff(14659,plain,
% 7.81/5.61 (~until5(s200)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13669, 14658])).
% 7.81/5.61 tff(14660,plain,
% 7.81/5.61 (~xuntil6(s199)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13489, 14659])).
% 7.81/5.61 tff(14661,plain,
% 7.81/5.61 (~until5(s199)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13733, 14660])).
% 7.81/5.61 tff(14662,plain,
% 7.81/5.61 (~xuntil6(s198)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13477, 14661])).
% 7.81/5.61 tff(14663,plain,
% 7.81/5.61 (~until5(s198)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13730, 14662])).
% 7.81/5.61 tff(14664,plain,
% 7.81/5.61 (~xuntil6(s197)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13465, 14663])).
% 7.81/5.61 tff(14665,plain,
% 7.81/5.61 (~until5(s197)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13727, 14664])).
% 7.81/5.61 tff(14666,plain,
% 7.81/5.61 (~xuntil6(s196)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13453, 14665])).
% 7.81/5.61 tff(14667,plain,
% 7.81/5.61 (~always3(s196)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13684, 14576])).
% 7.81/5.61 tff(14668,plain,
% 7.81/5.61 (~node4(s196)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12862, 16, 14667])).
% 7.81/5.61 tff(14669,plain,
% 7.81/5.61 (xuntil6(s196) | (~until5(s196))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13445, 352, 14668])).
% 7.81/5.61 tff(14670,plain,
% 7.81/5.61 (~until5(s196)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14669, 14666])).
% 7.81/5.61 tff(14671,plain,
% 7.81/5.61 (~xuntil6(s195)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12439, 14670])).
% 7.81/5.61 tff(14672,plain,
% 7.81/5.61 (~always3(s195)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12404, 14667])).
% 7.81/5.61 tff(14673,plain,
% 7.81/5.61 (~node4(s195)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12392, 16, 14672])).
% 7.81/5.61 tff(14674,plain,
% 7.81/5.61 (xuntil6(s195) | (~until5(s195))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12433, 352, 14673])).
% 7.81/5.61 tff(14675,plain,
% 7.81/5.61 (~until5(s195)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14674, 14671])).
% 7.81/5.61 tff(14676,plain,
% 7.81/5.61 (~xuntil6(s194)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12383, 14675])).
% 7.81/5.61 tff(14677,plain,
% 7.81/5.61 (~until5(s194)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12378, 14676])).
% 7.81/5.61 tff(14678,plain,
% 7.81/5.61 (~xuntil6(s193)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12327, 14677])).
% 7.81/5.61 tff(14679,plain,
% 7.81/5.61 (~until5(s193)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12322, 14678])).
% 7.81/5.61 tff(14680,plain,
% 7.81/5.61 (~xuntil6(s192)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12271, 14679])).
% 7.81/5.61 tff(14681,plain,
% 7.81/5.61 (~until5(s192)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12266, 14680])).
% 7.81/5.61 tff(14682,plain,
% 7.81/5.61 (~xuntil6(s191)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12215, 14681])).
% 7.81/5.61 tff(14683,plain,
% 7.81/5.61 (~until5(s191)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12210, 14682])).
% 7.81/5.61 tff(14684,plain,
% 7.81/5.61 (~xuntil6(s190)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12159, 14683])).
% 7.81/5.61 tff(14685,plain,
% 7.81/5.61 (~until5(s190)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12154, 14684])).
% 7.81/5.61 tff(14686,plain,
% 7.81/5.61 (~xuntil6(s189)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12103, 14685])).
% 7.81/5.61 tff(14687,plain,
% 7.81/5.61 (~until5(s189)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12098, 14686])).
% 7.81/5.61 tff(14688,plain,
% 7.81/5.61 (~xuntil6(s188)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12047, 14687])).
% 7.81/5.61 tff(14689,plain,
% 7.81/5.61 (~until5(s188)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12042, 14688])).
% 7.81/5.61 tff(14690,plain,
% 7.81/5.61 (~xuntil6(s187)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11991, 14689])).
% 7.81/5.61 tff(14691,plain,
% 7.81/5.61 (~until5(s187)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11986, 14690])).
% 7.81/5.61 tff(14692,plain,
% 7.81/5.61 (~xuntil6(s186)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11935, 14691])).
% 7.81/5.61 tff(14693,plain,
% 7.81/5.61 (~until5(s186)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11930, 14692])).
% 7.81/5.61 tff(14694,plain,
% 7.81/5.61 (~xuntil6(s185)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11879, 14693])).
% 7.81/5.61 tff(14695,plain,
% 7.81/5.61 (~always3(s194)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12348, 14672])).
% 7.81/5.61 tff(14696,plain,
% 7.81/5.61 (~always3(s193)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12292, 14695])).
% 7.81/5.61 tff(14697,plain,
% 7.81/5.61 (~always3(s192)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12236, 14696])).
% 7.81/5.61 tff(14698,plain,
% 7.81/5.61 (~always3(s191)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12180, 14697])).
% 7.81/5.61 tff(14699,plain,
% 7.81/5.61 (~always3(s190)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12124, 14698])).
% 7.81/5.61 tff(14700,plain,
% 7.81/5.61 (~always3(s189)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12068, 14699])).
% 7.81/5.61 tff(14701,plain,
% 7.81/5.61 (~always3(s188)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[12012, 14700])).
% 7.81/5.61 tff(14702,plain,
% 7.81/5.61 (~always3(s187)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11956, 14701])).
% 7.81/5.61 tff(14703,plain,
% 7.81/5.61 (~always3(s186)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11900, 14702])).
% 7.81/5.61 tff(14704,plain,
% 7.81/5.61 (~always3(s185)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11844, 14703])).
% 7.81/5.61 tff(14705,plain,
% 7.81/5.61 (~always3(s184)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11788, 14704])).
% 7.81/5.61 tff(14706,plain,
% 7.81/5.61 (~always3(s183)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11732, 14705])).
% 7.81/5.61 tff(14707,plain,
% 7.81/5.61 (~always3(s182)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11676, 14706])).
% 7.81/5.61 tff(14708,plain,
% 7.81/5.61 (~always3(s181)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11620, 14707])).
% 7.81/5.61 tff(14709,plain,
% 7.81/5.61 (~always3(s180)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11585, 14708])).
% 7.81/5.61 tff(14710,plain,
% 7.81/5.61 (~always3(s179)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11505, 14709])).
% 7.81/5.61 tff(14711,plain,
% 7.81/5.61 (~always3(s178)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11449, 14710])).
% 7.81/5.61 tff(14712,plain,
% 7.81/5.61 (~always3(s177)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11393, 14711])).
% 7.81/5.61 tff(14713,plain,
% 7.81/5.61 (~always3(s176)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11357, 14712])).
% 7.81/5.61 tff(14714,plain,
% 7.81/5.61 (~always3(s175)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11277, 14713])).
% 7.81/5.61 tff(14715,plain,
% 7.81/5.61 (~always3(s174)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11242, 14714])).
% 7.81/5.61 tff(14716,plain,
% 7.81/5.61 (~always3(s173)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11162, 14715])).
% 7.81/5.61 tff(14717,plain,
% 7.81/5.61 (~always3(s172)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11106, 14716])).
% 7.81/5.61 tff(14718,plain,
% 7.81/5.61 (~always3(s171)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11050, 14717])).
% 7.81/5.61 tff(14719,plain,
% 7.81/5.61 (~always3(s170)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10977, 14718])).
% 7.81/5.61 tff(14720,plain,
% 7.81/5.61 (~always3(s169)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10921, 14719])).
% 7.81/5.61 tff(14721,plain,
% 7.81/5.61 (~always3(s168)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10865, 14720])).
% 7.81/5.61 tff(14722,plain,
% 7.81/5.61 (~always3(s167)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10809, 14721])).
% 7.81/5.61 tff(14723,plain,
% 7.81/5.61 (~always3(s166)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10753, 14722])).
% 7.81/5.61 tff(14724,plain,
% 7.81/5.61 (~always3(s165)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10697, 14723])).
% 7.81/5.61 tff(14725,plain,
% 7.81/5.61 (~always3(s164)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10635, 14724])).
% 7.81/5.61 tff(14726,plain,
% 7.81/5.61 (~always3(s163)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10582, 14725])).
% 7.81/5.61 tff(14727,plain,
% 7.81/5.61 (~always3(s162)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10526, 14726])).
% 7.81/5.61 tff(14728,plain,
% 7.81/5.61 (~always3(s161)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10464, 14727])).
% 7.81/5.61 tff(14729,plain,
% 7.81/5.61 (~always3(s160)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10411, 14728])).
% 7.81/5.61 tff(14730,plain,
% 7.81/5.61 (~always3(s159)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10355, 14729])).
% 7.81/5.61 tff(14731,plain,
% 7.81/5.61 (~always3(s158)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10299, 14730])).
% 7.81/5.61 tff(14732,plain,
% 7.81/5.61 (~always3(s157)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10243, 14731])).
% 7.81/5.61 tff(14733,plain,
% 7.81/5.61 (~always3(s156)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10187, 14732])).
% 7.81/5.61 tff(14734,plain,
% 7.81/5.61 (~always3(s155)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10131, 14733])).
% 7.81/5.61 tff(14735,plain,
% 7.81/5.61 (~always3(s154)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10075, 14734])).
% 7.81/5.61 tff(14736,plain,
% 7.81/5.61 (~always3(s153)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10019, 14735])).
% 7.81/5.61 tff(14737,plain,
% 7.81/5.61 (~node4(s153)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10007, 16, 14736])).
% 7.81/5.61 tff(14738,plain,
% 7.81/5.61 (~always3(s152)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9963, 14736])).
% 7.81/5.61 tff(14739,plain,
% 7.81/5.61 (~node4(s152)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9951, 16, 14738])).
% 7.81/5.61 tff(14740,plain,
% 7.81/5.61 (~always3(s151)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9907, 14738])).
% 7.81/5.61 tff(14741,plain,
% 7.81/5.61 (~always3(s150)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[217, 14740])).
% 7.81/5.61 tff(14742,plain,
% 7.81/5.61 (~always3(s149)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9845, 14741])).
% 7.81/5.61 tff(14743,plain,
% 7.81/5.61 (~always3(s148)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9789, 14742])).
% 7.81/5.61 tff(14744,plain,
% 7.81/5.61 (~always3(s147)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9733, 14743])).
% 7.81/5.61 tff(14745,plain,
% 7.81/5.61 (~always3(s146)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9677, 14744])).
% 7.81/5.61 tff(14746,plain,
% 7.81/5.61 (~always3(s145)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9621, 14745])).
% 7.81/5.61 tff(14747,plain,
% 7.81/5.61 (~always3(s144)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9565, 14746])).
% 7.81/5.61 tff(14748,plain,
% 7.81/5.61 (~always3(s143)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9509, 14747])).
% 7.81/5.61 tff(14749,plain,
% 7.81/5.61 (~always3(s142)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9453, 14748])).
% 7.81/5.61 tff(14750,plain,
% 7.81/5.61 (~always3(s141)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9397, 14749])).
% 7.81/5.61 tff(14751,plain,
% 7.81/5.61 (~always3(s140)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9341, 14750])).
% 7.81/5.61 tff(14752,plain,
% 7.81/5.61 (~always3(s139)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9285, 14751])).
% 7.81/5.61 tff(14753,plain,
% 7.81/5.61 (~always3(s138)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9229, 14752])).
% 7.81/5.61 tff(14754,plain,
% 7.81/5.61 (~always3(s137)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9173, 14753])).
% 7.81/5.61 tff(14755,plain,
% 7.81/5.61 (~always3(s136)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9100, 14754])).
% 7.81/5.61 tff(14756,plain,
% 7.81/5.61 (~always3(s135)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9044, 14755])).
% 7.81/5.61 tff(14757,plain,
% 7.81/5.61 (~always3(s134)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8988, 14756])).
% 7.81/5.61 tff(14758,plain,
% 7.81/5.61 (~always3(s133)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8932, 14757])).
% 7.81/5.61 tff(14759,plain,
% 7.81/5.61 (~always3(s132)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8876, 14758])).
% 7.81/5.61 tff(14760,plain,
% 7.81/5.61 (~always3(s131)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8820, 14759])).
% 7.81/5.61 tff(14761,plain,
% 7.81/5.61 (~always3(s130)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8764, 14760])).
% 7.81/5.61 tff(14762,plain,
% 7.81/5.61 (~always3(s129)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8708, 14761])).
% 7.81/5.61 tff(14763,plain,
% 7.81/5.61 (~always3(s128)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8652, 14762])).
% 7.81/5.61 tff(14764,plain,
% 7.81/5.61 (~always3(s127)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8596, 14763])).
% 7.81/5.61 tff(14765,plain,
% 7.81/5.61 (~always3(s126)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8540, 14764])).
% 7.81/5.61 tff(14766,plain,
% 7.81/5.61 (~always3(s125)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8484, 14765])).
% 7.81/5.61 tff(14767,plain,
% 7.81/5.61 (~always3(s124)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8428, 14766])).
% 7.81/5.61 tff(14768,plain,
% 7.81/5.61 (~always3(s123)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8372, 14767])).
% 7.81/5.61 tff(14769,plain,
% 7.81/5.61 (~always3(s122)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8316, 14768])).
% 7.81/5.61 tff(14770,plain,
% 7.81/5.61 (~always3(s121)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8260, 14769])).
% 7.81/5.61 tff(14771,plain,
% 7.81/5.61 (~always3(s120)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8204, 14770])).
% 7.81/5.61 tff(14772,plain,
% 7.81/5.61 (~always3(s119)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8148, 14771])).
% 7.81/5.61 tff(14773,plain,
% 7.81/5.61 (~always3(s118)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8092, 14772])).
% 7.81/5.61 tff(14774,plain,
% 7.81/5.61 (~always3(s117)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[8036, 14773])).
% 7.81/5.61 tff(14775,plain,
% 7.81/5.61 (~always3(s116)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7980, 14774])).
% 7.81/5.61 tff(14776,plain,
% 7.81/5.61 (~always3(s115)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7924, 14775])).
% 7.81/5.61 tff(14777,plain,
% 7.81/5.61 (~always3(s114)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7868, 14776])).
% 7.81/5.61 tff(14778,plain,
% 7.81/5.61 (~always3(s113)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7812, 14777])).
% 7.81/5.61 tff(14779,plain,
% 7.81/5.61 (~always3(s112)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7739, 14778])).
% 7.81/5.61 tff(14780,plain,
% 7.81/5.61 (~always3(s111)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7673, 14779])).
% 7.81/5.61 tff(14781,plain,
% 7.81/5.61 (~always3(s110)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7617, 14780])).
% 7.81/5.61 tff(14782,plain,
% 7.81/5.61 (~always3(s109)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7561, 14781])).
% 7.81/5.61 tff(14783,plain,
% 7.81/5.61 (~always3(s108)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7505, 14782])).
% 7.81/5.61 tff(14784,plain,
% 7.81/5.61 (~always3(s107)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7449, 14783])).
% 7.81/5.61 tff(14785,plain,
% 7.81/5.61 (~always3(s106)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7393, 14784])).
% 7.81/5.61 tff(14786,plain,
% 7.81/5.61 (~always3(s105)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7337, 14785])).
% 7.81/5.61 tff(14787,plain,
% 7.81/5.61 (~always3(s104)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7250, 14786])).
% 7.81/5.61 tff(14788,plain,
% 7.81/5.61 (~always3(s103)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7169, 14787])).
% 7.81/5.61 tff(14789,plain,
% 7.81/5.61 (~always3(s102)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7120, 14788])).
% 7.81/5.61 tff(14790,plain,
% 7.81/5.61 (~always3(s101)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7064, 14789])).
% 7.81/5.61 tff(14791,plain,
% 7.81/5.61 (~always3(s100)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[7008, 14790])).
% 7.81/5.61 tff(14792,plain,
% 7.81/5.61 (~always3(s99)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[6952, 14791])).
% 7.81/5.61 tff(14793,plain,
% 7.81/5.61 (~always3(s98)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[6896, 14792])).
% 7.81/5.61 tff(14794,plain,
% 7.81/5.61 (~always3(s97)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[6840, 14793])).
% 7.81/5.61 tff(14795,plain,
% 7.81/5.61 (~always3(s96)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[6784, 14794])).
% 7.81/5.61 tff(14796,plain,
% 7.81/5.61 (~always3(s95)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[6728, 14795])).
% 7.81/5.61 tff(14797,plain,
% 7.81/5.61 (~always3(s94)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[6672, 14796])).
% 7.81/5.61 tff(14798,plain,
% 7.81/5.61 (~always3(s93)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[6598, 14797])).
% 7.81/5.61 tff(14799,plain,
% 7.81/5.61 (~always3(s92)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[6158, 14798])).
% 7.81/5.61 tff(14800,plain,
% 7.81/5.61 (~always3(s91)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[6519, 14799])).
% 7.81/5.61 tff(14801,plain,
% 7.81/5.61 (xuntil6(s91)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[6502, 14800])).
% 7.81/5.61 tff(14802,plain,
% 7.81/5.61 (until5(s92)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[6209, 14801])).
% 7.81/5.61 tff(14803,plain,
% 7.81/5.61 (xuntil6(s151)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[13358, 14802, 14740])).
% 7.81/5.61 tff(14804,plain,
% 7.81/5.61 (until5(s152)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9942, 14803])).
% 7.81/5.61 tff(14805,plain,
% 7.81/5.61 (xuntil6(s152) | node4(s152)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9992, 352, 14804])).
% 7.81/5.61 tff(14806,plain,
% 7.81/5.61 (xuntil6(s152)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14805, 14739])).
% 7.81/5.61 tff(14807,plain,
% 7.81/5.61 (until5(s153)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[9998, 14806])).
% 7.81/5.61 tff(14808,plain,
% 7.81/5.61 (xuntil6(s153)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10048, 352, 14807, 14737])).
% 7.81/5.61 tff(14809,plain,
% 7.81/5.61 (until5(s154)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10054, 14808])).
% 7.81/5.61 tff(14810,plain,
% 7.81/5.61 (xuntil6(s154)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10105, 14809])).
% 7.81/5.61 tff(14811,plain,
% 7.81/5.61 (until5(s155)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10110, 14810])).
% 7.81/5.61 tff(14812,plain,
% 7.81/5.61 (~node4(s155)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10119, 16, 14734])).
% 7.81/5.61 tff(14813,plain,
% 7.81/5.61 (xuntil6(s155) | (~until5(s155))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10160, 352, 14812])).
% 7.81/5.61 tff(14814,plain,
% 7.81/5.61 (xuntil6(s155)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14813, 14811])).
% 7.81/5.61 tff(14815,plain,
% 7.81/5.61 (until5(s156)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10166, 14814])).
% 7.81/5.61 tff(14816,plain,
% 7.81/5.61 (~node4(s156)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10175, 16, 14733])).
% 7.81/5.61 tff(14817,plain,
% 7.81/5.61 (xuntil6(s156) | (~until5(s156))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10216, 352, 14816])).
% 7.81/5.61 tff(14818,plain,
% 7.81/5.61 (xuntil6(s156)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14817, 14815])).
% 7.81/5.61 tff(14819,plain,
% 7.81/5.61 (until5(s157)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10222, 14818])).
% 7.81/5.61 tff(14820,plain,
% 7.81/5.61 (~node4(s157)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10231, 16, 14732])).
% 7.81/5.61 tff(14821,plain,
% 7.81/5.61 (xuntil6(s157) | (~until5(s157))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10272, 352, 14820])).
% 7.81/5.61 tff(14822,plain,
% 7.81/5.61 (xuntil6(s157)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14821, 14819])).
% 7.81/5.61 tff(14823,plain,
% 7.81/5.61 (until5(s158)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10278, 14822])).
% 7.81/5.61 tff(14824,plain,
% 7.81/5.61 (~node4(s158)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10287, 16, 14731])).
% 7.81/5.61 tff(14825,plain,
% 7.81/5.61 (xuntil6(s158) | (~until5(s158))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10328, 352, 14824])).
% 7.81/5.61 tff(14826,plain,
% 7.81/5.61 (xuntil6(s158)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14825, 14823])).
% 7.81/5.61 tff(14827,plain,
% 7.81/5.61 (until5(s159)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10334, 14826])).
% 7.81/5.61 tff(14828,plain,
% 7.81/5.61 (~node4(s159)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10343, 16, 14730])).
% 7.81/5.61 tff(14829,plain,
% 7.81/5.61 (xuntil6(s159) | (~until5(s159))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10384, 352, 14828])).
% 7.81/5.61 tff(14830,plain,
% 7.81/5.61 (xuntil6(s159)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14829, 14827])).
% 7.81/5.61 tff(14831,plain,
% 7.81/5.61 (until5(s160)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10390, 14830])).
% 7.81/5.61 tff(14832,plain,
% 7.81/5.61 (xuntil6(s160)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10441, 14831])).
% 7.81/5.61 tff(14833,plain,
% 7.81/5.61 (until5(s161)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10446, 14832])).
% 7.81/5.61 tff(14834,plain,
% 7.81/5.61 (~node4(s161)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10452, 16, 14728])).
% 7.81/5.61 tff(14835,plain,
% 7.81/5.61 (xuntil6(s161) | (~until5(s161))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10499, 352, 14834])).
% 7.81/5.61 tff(14836,plain,
% 7.81/5.61 (xuntil6(s161)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14835, 14833])).
% 7.81/5.61 tff(14837,plain,
% 7.81/5.61 (until5(s162)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10505, 14836])).
% 7.81/5.61 tff(14838,plain,
% 7.81/5.61 (~node4(s162)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10514, 16, 14727])).
% 7.81/5.61 tff(14839,plain,
% 7.81/5.61 (xuntil6(s162) | (~until5(s162))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10555, 352, 14838])).
% 7.81/5.61 tff(14840,plain,
% 7.81/5.61 (xuntil6(s162)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14839, 14837])).
% 7.81/5.61 tff(14841,plain,
% 7.81/5.61 (until5(s163)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10561, 14840])).
% 7.81/5.61 tff(14842,plain,
% 7.81/5.61 (xuntil6(s163)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10612, 14841])).
% 7.81/5.61 tff(14843,plain,
% 7.81/5.61 (until5(s164)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10617, 14842])).
% 7.81/5.61 tff(14844,plain,
% 7.81/5.61 (~node4(s164)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10623, 16, 14725])).
% 7.81/5.61 tff(14845,plain,
% 7.81/5.61 (xuntil6(s164) | (~until5(s164))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10670, 352, 14844])).
% 7.81/5.61 tff(14846,plain,
% 7.81/5.61 (xuntil6(s164)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14845, 14843])).
% 7.81/5.61 tff(14847,plain,
% 7.81/5.61 (until5(s165)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10676, 14846])).
% 7.81/5.61 tff(14848,plain,
% 7.81/5.61 (~node4(s165)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10685, 16, 14724])).
% 7.81/5.61 tff(14849,plain,
% 7.81/5.61 (xuntil6(s165) | (~until5(s165))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10726, 352, 14848])).
% 7.81/5.61 tff(14850,plain,
% 7.81/5.61 (xuntil6(s165)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14849, 14847])).
% 7.81/5.61 tff(14851,plain,
% 7.81/5.61 (until5(s166)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10732, 14850])).
% 7.81/5.61 tff(14852,plain,
% 7.81/5.61 (~node4(s166)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10741, 16, 14723])).
% 7.81/5.61 tff(14853,plain,
% 7.81/5.61 (xuntil6(s166) | (~until5(s166))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10782, 352, 14852])).
% 7.81/5.61 tff(14854,plain,
% 7.81/5.61 (xuntil6(s166)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14853, 14851])).
% 7.81/5.61 tff(14855,plain,
% 7.81/5.61 (until5(s167)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10788, 14854])).
% 7.81/5.61 tff(14856,plain,
% 7.81/5.61 (~node4(s167)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10797, 16, 14722])).
% 7.81/5.61 tff(14857,plain,
% 7.81/5.61 (xuntil6(s167) | (~until5(s167))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10838, 352, 14856])).
% 7.81/5.61 tff(14858,plain,
% 7.81/5.61 (xuntil6(s167)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14857, 14855])).
% 7.81/5.61 tff(14859,plain,
% 7.81/5.61 (until5(s168)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10844, 14858])).
% 7.81/5.61 tff(14860,plain,
% 7.81/5.61 (~node4(s168)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10853, 16, 14721])).
% 7.81/5.61 tff(14861,plain,
% 7.81/5.61 (xuntil6(s168) | (~until5(s168))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10894, 352, 14860])).
% 7.81/5.61 tff(14862,plain,
% 7.81/5.61 (xuntil6(s168)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14861, 14859])).
% 7.81/5.61 tff(14863,plain,
% 7.81/5.61 (until5(s169)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10900, 14862])).
% 7.81/5.61 tff(14864,plain,
% 7.81/5.61 (~node4(s169)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10909, 16, 14720])).
% 7.81/5.61 tff(14865,plain,
% 7.81/5.61 (xuntil6(s169) | (~until5(s169))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10950, 352, 14864])).
% 7.81/5.61 tff(14866,plain,
% 7.81/5.61 (xuntil6(s169)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14865, 14863])).
% 7.81/5.61 tff(14867,plain,
% 7.81/5.61 (until5(s170)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10956, 14866])).
% 7.81/5.61 tff(14868,plain,
% 7.81/5.61 (~node4(s170)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[10965, 16, 14719])).
% 7.81/5.61 tff(14869,plain,
% 7.81/5.61 (xuntil6(s170) | (~until5(s170))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11023, 352, 14868])).
% 7.81/5.61 tff(14870,plain,
% 7.81/5.61 (xuntil6(s170)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14869, 14867])).
% 7.81/5.61 tff(14871,plain,
% 7.81/5.61 (until5(s171)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11029, 14870])).
% 7.81/5.61 tff(14872,plain,
% 7.81/5.61 (xuntil6(s171)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11080, 14871])).
% 7.81/5.61 tff(14873,plain,
% 7.81/5.61 (until5(s172)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11085, 14872])).
% 7.81/5.61 tff(14874,plain,
% 7.81/5.61 (~node4(s172)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11094, 16, 14717])).
% 7.81/5.61 tff(14875,plain,
% 7.81/5.61 (xuntil6(s172) | (~until5(s172))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11135, 352, 14874])).
% 7.81/5.61 tff(14876,plain,
% 7.81/5.61 (xuntil6(s172)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14875, 14873])).
% 7.81/5.61 tff(14877,plain,
% 7.81/5.61 (until5(s173)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11141, 14876])).
% 7.81/5.61 tff(14878,plain,
% 7.81/5.61 (xuntil6(s173)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11192, 14877])).
% 7.81/5.61 tff(14879,plain,
% 7.81/5.61 (until5(s174)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11197, 14878])).
% 7.81/5.61 tff(14880,plain,
% 7.81/5.61 (~node4(s174)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11202, 16, 14715])).
% 7.81/5.61 tff(14881,plain,
% 7.81/5.61 (xuntil6(s174) | (~until5(s174))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11250, 352, 14880])).
% 7.81/5.61 tff(14882,plain,
% 7.81/5.61 (xuntil6(s174)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14881, 14879])).
% 7.81/5.61 tff(14883,plain,
% 7.81/5.61 (until5(s175)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11256, 14882])).
% 7.81/5.61 tff(14884,plain,
% 7.81/5.61 (~node4(s175)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11265, 16, 14714])).
% 7.81/5.61 tff(14885,plain,
% 7.81/5.61 (xuntil6(s175) | (~until5(s175))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11306, 352, 14884])).
% 7.81/5.61 tff(14886,plain,
% 7.81/5.61 (xuntil6(s175)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14885, 14883])).
% 7.81/5.61 tff(14887,plain,
% 7.81/5.61 (until5(s176)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11312, 14886])).
% 7.81/5.61 tff(14888,plain,
% 7.81/5.61 (~node4(s176)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11338, 16, 14713])).
% 7.81/5.61 tff(14889,plain,
% 7.81/5.61 (xuntil6(s176) | (~until5(s176))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11366, 352, 14888])).
% 7.81/5.61 tff(14890,plain,
% 7.81/5.61 (xuntil6(s176)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14889, 14887])).
% 7.81/5.61 tff(14891,plain,
% 7.81/5.61 (until5(s177)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11372, 14890])).
% 7.81/5.61 tff(14892,plain,
% 7.81/5.61 (~node4(s177)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11381, 16, 14712])).
% 7.81/5.61 tff(14893,plain,
% 7.81/5.61 (xuntil6(s177) | (~until5(s177))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11422, 352, 14892])).
% 7.81/5.61 tff(14894,plain,
% 7.81/5.61 (xuntil6(s177)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14893, 14891])).
% 7.81/5.61 tff(14895,plain,
% 7.81/5.61 (until5(s178)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11428, 14894])).
% 7.81/5.61 tff(14896,plain,
% 7.81/5.61 (~node4(s178)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11437, 16, 14711])).
% 7.81/5.61 tff(14897,plain,
% 7.81/5.61 (xuntil6(s178) | (~until5(s178))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11478, 352, 14896])).
% 7.81/5.61 tff(14898,plain,
% 7.81/5.61 (xuntil6(s178)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14897, 14895])).
% 7.81/5.61 tff(14899,plain,
% 7.81/5.61 (until5(s179)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11484, 14898])).
% 7.81/5.61 tff(14900,plain,
% 7.81/5.61 (~node4(s179)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11493, 16, 14710])).
% 7.81/5.61 tff(14901,plain,
% 7.81/5.61 (xuntil6(s179) | (~until5(s179))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11534, 352, 14900])).
% 7.81/5.61 tff(14902,plain,
% 7.81/5.61 (xuntil6(s179)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14901, 14899])).
% 7.81/5.61 tff(14903,plain,
% 7.81/5.61 (until5(s180)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11540, 14902])).
% 7.81/5.61 tff(14904,plain,
% 7.81/5.61 (~node4(s180)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11545, 16, 14709])).
% 7.81/5.61 tff(14905,plain,
% 7.81/5.61 (xuntil6(s180) | (~until5(s180))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11593, 352, 14904])).
% 7.81/5.61 tff(14906,plain,
% 7.81/5.61 (xuntil6(s180)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14905, 14903])).
% 7.81/5.61 tff(14907,plain,
% 7.81/5.61 (until5(s181)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11599, 14906])).
% 7.81/5.61 tff(14908,plain,
% 7.81/5.61 (~node4(s181)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11608, 16, 14708])).
% 7.81/5.61 tff(14909,plain,
% 7.81/5.61 (xuntil6(s181) | (~until5(s181))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11649, 352, 14908])).
% 7.81/5.61 tff(14910,plain,
% 7.81/5.61 (xuntil6(s181)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14909, 14907])).
% 7.81/5.61 tff(14911,plain,
% 7.81/5.61 (until5(s182)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11655, 14910])).
% 7.81/5.61 tff(14912,plain,
% 7.81/5.61 (xuntil6(s182)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11706, 14911])).
% 7.81/5.61 tff(14913,plain,
% 7.81/5.61 (until5(s183)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11711, 14912])).
% 7.81/5.61 tff(14914,plain,
% 7.81/5.61 (xuntil6(s183)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11762, 14913])).
% 7.81/5.61 tff(14915,plain,
% 7.81/5.61 (until5(s184)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11767, 14914])).
% 7.81/5.61 tff(14916,plain,
% 7.81/5.61 (~node4(s184)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11776, 16, 14705])).
% 7.81/5.61 tff(14917,plain,
% 7.81/5.61 (xuntil6(s184) | (~until5(s184))),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11817, 352, 14916])).
% 7.81/5.61 tff(14918,plain,
% 7.81/5.61 (xuntil6(s184)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14917, 14915])).
% 7.81/5.61 tff(14919,plain,
% 7.81/5.61 (until5(s185)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11823, 14918])).
% 7.81/5.61 tff(14920,plain,
% 7.81/5.61 ($false),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[11874, 14919, 14694])).
% 7.81/5.61 tff(14921,plain,(always3(s218) | node4(s197) | node4(s198) | node4(s199) | node4(s200) | node4(s201) | node4(s204) | node4(s205) | node4(s206) | node4(s207) | node4(s209) | node4(s215) | node4(s216) | node4(s217) | xuntil6(s218)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.61 tff(14922,plain,
% 7.81/5.61 ($false),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14921, 14585, 14584, 14536, 14583, 14582, 14581, 14580, 14579, 14578, 14577, 14567, 14566, 14537, 14556, 14552])).
% 7.81/5.61 tff(14923,plain,(always3(s218) | xuntil6(s218)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.61 tff(14924,plain,
% 7.81/5.61 (always3(s218)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14923, 14536])).
% 7.81/5.61 tff(14925,plain,
% 7.81/5.61 (succ(s218, s219) <=> succ(s218, s219)),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14926,axiom,(succ(s218, s219)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound219')).
% 7.81/5.61 tff(14927,plain,
% 7.81/5.61 (succ(s218, s219)),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14926, 14925])).
% 7.81/5.61 tff(14928,plain,
% 7.81/5.61 (((~![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))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14929,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s218, s219)) | trans(s218, s219))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14930,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s218, s219)) | trans(s218, s219)),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14929, 14928])).
% 7.81/5.61 tff(14931,plain,
% 7.81/5.61 (trans(s218, s219)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14930, 14927, 39])).
% 7.81/5.61 tff(14932,plain,
% 7.81/5.61 (((~![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))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14933,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s218, s219)) | (~always3(s218)) | always3(s219))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14934,plain,
% 7.81/5.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s218, s219)) | (~always3(s218)) | always3(s219)),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14933, 14932])).
% 7.81/5.61 tff(14935,plain,
% 7.81/5.61 ((~always3(s218)) | always3(s219)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14934, 112, 14931])).
% 7.81/5.61 tff(14936,plain,
% 7.81/5.61 (always3(s219)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14935, 14924])).
% 7.81/5.61 tff(14937,plain,
% 7.81/5.61 (((~![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)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14938,plain,
% 7.81/5.61 (((~m_main_v_state(s219, c_busy)) | (~always3(s219))) <=> ((~always3(s219)) | (~m_main_v_state(s219, c_busy)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14939,plain,
% 7.81/5.61 (((~![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))))),
% 7.81/5.61 inference(monotonicity,[status(thm)],[14938])).
% 7.81/5.61 tff(14940,plain,
% 7.81/5.61 (((~![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)))),
% 7.81/5.61 inference(transitivity,[status(thm)],[14939, 14937])).
% 7.81/5.61 tff(14941,plain,
% 7.81/5.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s219, c_busy)) | (~always3(s219)))),
% 7.81/5.61 inference(quant_inst,[status(thm)],[])).
% 7.81/5.61 tff(14942,plain,
% 7.81/5.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s219)) | (~m_main_v_state(s219, c_busy))),
% 7.81/5.61 inference(modus_ponens,[status(thm)],[14941, 14940])).
% 7.81/5.61 tff(14943,plain,
% 7.81/5.61 (~m_main_v_state(s219, c_busy)),
% 7.81/5.61 inference(unit_resolution,[status(thm)],[14942, 72, 14936])).
% 7.81/5.61 tff(14944,plain,
% 7.81/5.61 (((~![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)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.61 tff(14945,plain,
% 7.81/5.61 (((~m_main_v_state(s218, c_busy)) | (~always3(s218))) <=> ((~always3(s218)) | (~m_main_v_state(s218, c_busy)))),
% 7.81/5.61 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(14946,plain,
% 7.81/5.62 (((~![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))))),
% 7.81/5.62 inference(monotonicity,[status(thm)],[14945])).
% 7.81/5.62 tff(14947,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(transitivity,[status(thm)],[14946, 14944])).
% 7.81/5.62 tff(14948,plain,
% 7.81/5.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s218, c_busy)) | (~always3(s218)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(14949,plain,
% 7.81/5.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s218)) | (~m_main_v_state(s218, c_busy))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[14948, 14947])).
% 7.81/5.62 tff(14950,plain,
% 7.81/5.62 (~m_main_v_state(s218, c_busy)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14949, 72, 14924])).
% 7.81/5.62 tff(14951,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(14952,plain,
% 7.81/5.62 ((~![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))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(14953,plain,
% 7.81/5.62 ((~![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)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[14952, 14951])).
% 7.81/5.62 tff(14954,plain,
% 7.81/5.62 (m_main_v_state(s218, c_ready)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14953, 89, 14950])).
% 7.81/5.62 tff(14955,assumption,(~m_main_v_state(s218, c_busy)), introduced(assumption)).
% 7.81/5.62 tff(14956,assumption,(node4(s217)), introduced(assumption)).
% 7.81/5.62 tff(14957,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(14958,plain,
% 7.81/5.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s217) | (~node4(s217)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(14959,plain,
% 7.81/5.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s217) | (~node4(s217))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[14958, 14957])).
% 7.81/5.62 tff(14960,plain,
% 7.81/5.62 (m_main_v_request(s217)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14959, 28, 14956])).
% 7.81/5.62 tff(14961,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(14962,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s217, s218)) | node2(s217, s218))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(14963,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s217, s218)) | node2(s217, s218)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[14962, 14961])).
% 7.81/5.62 tff(14964,plain,
% 7.81/5.62 (node2(s217, s218)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14963, 7, 14544])).
% 7.81/5.62 tff(14965,plain,
% 7.81/5.62 (((~![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(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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(14966,plain,
% 7.81/5.62 ((~![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(s217, c_ready)) | (~node2(s217, s218)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(14967,plain,
% 7.81/5.62 ((~![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(s217, c_ready)) | (~node2(s217, s218)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[14966, 14965])).
% 7.81/5.62 tff(14968,plain,
% 7.81/5.62 ((~m_main_v_state(s217, c_ready)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217))),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14967, 60, 14964])).
% 7.81/5.62 tff(14969,plain,
% 7.81/5.62 (~m_main_v_state(s217, c_ready)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14968, 14960, 14955])).
% 7.81/5.62 tff(14970,plain,
% 7.81/5.62 (always3(s217)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14555, 16, 14956])).
% 7.81/5.62 tff(14971,plain,
% 7.81/5.62 (~m_main_v_state(s217, c_busy)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14506, 72, 14970])).
% 7.81/5.62 tff(14972,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(14973,plain,
% 7.81/5.62 ((~![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))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(14974,plain,
% 7.81/5.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s217, c_busy) | m_main_v_state(s217, c_ready)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[14973, 14972])).
% 7.81/5.62 tff(14975,plain,
% 7.81/5.62 ($false),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14974, 89, 14971, 14969])).
% 7.81/5.62 tff(14976,plain,((~node4(s217)) | m_main_v_state(s218, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.62 tff(14977,plain,
% 7.81/5.62 (~node4(s217)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14976, 14950])).
% 7.81/5.62 tff(14978,assumption,(until5(s217)), introduced(assumption)).
% 7.81/5.62 tff(14979,plain,
% 7.81/5.62 (xuntil6(s217) | node4(s217)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14609, 352, 14978])).
% 7.81/5.62 tff(14980,plain,
% 7.81/5.62 (xuntil6(s217)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14979, 14977])).
% 7.81/5.62 tff(14981,plain,
% 7.81/5.62 (until5(s218)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14602, 14980])).
% 7.81/5.62 tff(14982,plain,
% 7.81/5.62 (node4(s218)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14597, 14981])).
% 7.81/5.62 tff(14983,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(14984,plain,
% 7.81/5.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s218) | (~node4(s218)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(14985,plain,
% 7.81/5.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s218) | (~node4(s218))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[14984, 14983])).
% 7.81/5.62 tff(14986,plain,
% 7.81/5.62 (m_main_v_request(s218)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14985, 28, 14982])).
% 7.81/5.62 tff(14987,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(14988,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s218, s219)) | node2(s218, s219))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(14989,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s218, s219)) | node2(s218, s219)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[14988, 14987])).
% 7.81/5.62 tff(14990,plain,
% 7.81/5.62 (node2(s218, s219)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14989, 7, 14931])).
% 7.81/5.62 tff(14991,plain,
% 7.81/5.62 (((~![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(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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(14992,plain,
% 7.81/5.62 ((~![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(s218, c_ready)) | (~node2(s218, s219)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(14993,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s218, c_ready)) | (~node2(s218, s219)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[14992, 14991])).
% 7.81/5.62 tff(14994,plain,
% 7.81/5.62 ((~m_main_v_state(s218, c_ready)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218))),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14993, 60, 14990])).
% 7.81/5.62 tff(14995,plain,
% 7.81/5.62 ($false),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14994, 14986, 14954, 14943])).
% 7.81/5.62 tff(14996,plain,(xuntil6(s218) | (~until5(s217))), inference(lemma,lemma(discharge,[]))).
% 7.81/5.62 tff(14997,plain,
% 7.81/5.62 (xuntil6(s218)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14996, 14535])).
% 7.81/5.62 tff(14998,plain,
% 7.81/5.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(14999,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15000,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[14999, 14998])).
% 7.81/5.62 tff(15001,plain,
% 7.81/5.62 ((~xuntil6(s218)) | until5(s219)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15000, 14927, 370])).
% 7.81/5.62 tff(15002,plain,
% 7.81/5.62 (until5(s219)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15001, 14997])).
% 7.81/5.62 tff(15003,assumption,(node4(s219)), introduced(assumption)).
% 7.81/5.62 tff(15004,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15005,plain,
% 7.81/5.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s219) | (~node4(s219)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15006,plain,
% 7.81/5.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s219) | (~node4(s219))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15005, 15004])).
% 7.81/5.62 tff(15007,plain,
% 7.81/5.62 (m_main_v_request(s219)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15006, 28, 15003])).
% 7.81/5.62 tff(15008,plain,
% 7.81/5.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s219) | (~node4(s219)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s219) | (~node4(s219)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15009,plain,
% 7.81/5.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s219) | (~node4(s219)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15010,plain,
% 7.81/5.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s219) | (~node4(s219))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15009, 15008])).
% 7.81/5.62 tff(15011,plain,
% 7.81/5.62 (always3(s219)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15010, 16, 15003])).
% 7.81/5.62 tff(15012,plain,
% 7.81/5.62 (succ(s219, s220) <=> succ(s219, s220)),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15013,axiom,(succ(s219, s220)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound220')).
% 7.81/5.62 tff(15014,plain,
% 7.81/5.62 (succ(s219, s220)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15013, 15012])).
% 7.81/5.62 tff(15015,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15016,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s219, s220)) | trans(s219, s220))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15017,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s219, s220)) | trans(s219, s220)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15016, 15015])).
% 7.81/5.62 tff(15018,plain,
% 7.81/5.62 (trans(s219, s220)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15017, 15014, 39])).
% 7.81/5.62 tff(15019,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15020,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s219, s220)) | (~always3(s219)) | always3(s220))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15021,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s219, s220)) | (~always3(s219)) | always3(s220)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15020, 15019])).
% 7.81/5.62 tff(15022,plain,
% 7.81/5.62 ((~always3(s219)) | always3(s220)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15021, 112, 15018])).
% 7.81/5.62 tff(15023,plain,
% 7.81/5.62 (always3(s220)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15022, 15011])).
% 7.81/5.62 tff(15024,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15025,plain,
% 7.81/5.62 (((~m_main_v_state(s220, c_busy)) | (~always3(s220))) <=> ((~always3(s220)) | (~m_main_v_state(s220, c_busy)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15026,plain,
% 7.81/5.62 (((~![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))))),
% 7.81/5.62 inference(monotonicity,[status(thm)],[15025])).
% 7.81/5.62 tff(15027,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(transitivity,[status(thm)],[15026, 15024])).
% 7.81/5.62 tff(15028,plain,
% 7.81/5.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s220, c_busy)) | (~always3(s220)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15029,plain,
% 7.81/5.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s220)) | (~m_main_v_state(s220, c_busy))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15028, 15027])).
% 7.81/5.62 tff(15030,plain,
% 7.81/5.62 (~m_main_v_state(s220, c_busy)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15029, 72, 15023])).
% 7.81/5.62 tff(15031,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15032,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s219, s220)) | node2(s219, s220))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15033,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s219, s220)) | node2(s219, s220)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15032, 15031])).
% 7.81/5.62 tff(15034,plain,
% 7.81/5.62 (node2(s219, s220)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15033, 7, 15018])).
% 7.81/5.62 tff(15035,plain,
% 7.81/5.62 (((~![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(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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15036,plain,
% 7.81/5.62 ((~![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(s219, c_ready)) | (~node2(s219, s220)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15037,plain,
% 7.81/5.62 ((~![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(s219, c_ready)) | (~node2(s219, s220)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15036, 15035])).
% 7.81/5.62 tff(15038,plain,
% 7.81/5.62 ((~m_main_v_state(s219, c_ready)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219))),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15037, 60, 15034])).
% 7.81/5.62 tff(15039,plain,
% 7.81/5.62 (~m_main_v_state(s219, c_ready)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15038, 15030, 15007])).
% 7.81/5.62 tff(15040,plain,
% 7.81/5.62 (~m_main_v_state(s219, c_busy)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[14942, 72, 15011])).
% 7.81/5.62 tff(15041,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15042,plain,
% 7.81/5.62 ((~![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))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15043,plain,
% 7.81/5.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s219, c_busy) | m_main_v_state(s219, c_ready)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15042, 15041])).
% 7.81/5.62 tff(15044,plain,
% 7.81/5.62 ($false),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15043, 89, 15040, 15039])).
% 7.81/5.62 tff(15045,plain,(~node4(s219)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.62 tff(15046,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15047,plain,
% 7.81/5.62 ((node4(s219) | (~until5(s219)) | xuntil6(s219)) <=> (xuntil6(s219) | node4(s219) | (~until5(s219)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15048,plain,
% 7.81/5.62 (((~![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))))),
% 7.81/5.62 inference(monotonicity,[status(thm)],[15047])).
% 7.81/5.62 tff(15049,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(transitivity,[status(thm)],[15048, 15046])).
% 7.81/5.62 tff(15050,plain,
% 7.81/5.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s219) | (~until5(s219)) | xuntil6(s219))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15051,plain,
% 7.81/5.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s219) | node4(s219) | (~until5(s219))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15050, 15049])).
% 7.81/5.62 tff(15052,plain,
% 7.81/5.62 (xuntil6(s219) | (~until5(s219))),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15051, 352, 15045])).
% 7.81/5.62 tff(15053,plain,
% 7.81/5.62 (xuntil6(s219)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15052, 15002])).
% 7.81/5.62 tff(15054,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15055,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15056,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15055, 15054])).
% 7.81/5.62 tff(15057,plain,
% 7.81/5.62 ((~xuntil6(s219)) | until5(s220)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15056, 15014, 370])).
% 7.81/5.62 tff(15058,plain,
% 7.81/5.62 (until5(s220)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15057, 15053])).
% 7.81/5.62 tff(15059,assumption,(node4(s220)), introduced(assumption)).
% 7.81/5.62 tff(15060,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15061,plain,
% 7.81/5.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s220) | (~node4(s220)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15062,plain,
% 7.81/5.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s220) | (~node4(s220))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15061, 15060])).
% 7.81/5.62 tff(15063,plain,
% 7.81/5.62 (m_main_v_request(s220)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15062, 28, 15059])).
% 7.81/5.62 tff(15064,plain,
% 7.81/5.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s220) | (~node4(s220)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s220) | (~node4(s220)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15065,plain,
% 7.81/5.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s220) | (~node4(s220)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15066,plain,
% 7.81/5.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s220) | (~node4(s220))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15065, 15064])).
% 7.81/5.62 tff(15067,plain,
% 7.81/5.62 (always3(s220)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15066, 16, 15059])).
% 7.81/5.62 tff(15068,plain,
% 7.81/5.62 (succ(s220, s221) <=> succ(s220, s221)),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15069,axiom,(succ(s220, s221)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound221')).
% 7.81/5.62 tff(15070,plain,
% 7.81/5.62 (succ(s220, s221)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15069, 15068])).
% 7.81/5.62 tff(15071,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15072,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s220, s221)) | trans(s220, s221))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15073,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s220, s221)) | trans(s220, s221)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15072, 15071])).
% 7.81/5.62 tff(15074,plain,
% 7.81/5.62 (trans(s220, s221)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15073, 15070, 39])).
% 7.81/5.62 tff(15075,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15076,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s220, s221)) | (~always3(s220)) | always3(s221))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15077,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s220, s221)) | (~always3(s220)) | always3(s221)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15076, 15075])).
% 7.81/5.62 tff(15078,plain,
% 7.81/5.62 ((~always3(s220)) | always3(s221)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15077, 112, 15074])).
% 7.81/5.62 tff(15079,plain,
% 7.81/5.62 (always3(s221)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15078, 15067])).
% 7.81/5.62 tff(15080,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15081,plain,
% 7.81/5.62 (((~m_main_v_state(s221, c_busy)) | (~always3(s221))) <=> ((~always3(s221)) | (~m_main_v_state(s221, c_busy)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15082,plain,
% 7.81/5.62 (((~![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))))),
% 7.81/5.62 inference(monotonicity,[status(thm)],[15081])).
% 7.81/5.62 tff(15083,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(transitivity,[status(thm)],[15082, 15080])).
% 7.81/5.62 tff(15084,plain,
% 7.81/5.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s221, c_busy)) | (~always3(s221)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15085,plain,
% 7.81/5.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s221)) | (~m_main_v_state(s221, c_busy))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15084, 15083])).
% 7.81/5.62 tff(15086,plain,
% 7.81/5.62 (~m_main_v_state(s221, c_busy)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15085, 72, 15079])).
% 7.81/5.62 tff(15087,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15088,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s220, s221)) | node2(s220, s221))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15089,plain,
% 7.81/5.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s220, s221)) | node2(s220, s221)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15088, 15087])).
% 7.81/5.62 tff(15090,plain,
% 7.81/5.62 (node2(s220, s221)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15089, 7, 15074])).
% 7.81/5.62 tff(15091,plain,
% 7.81/5.62 (((~![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(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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15092,plain,
% 7.81/5.62 ((~![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(s220, c_ready)) | (~node2(s220, s221)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220)))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15093,plain,
% 7.81/5.62 ((~![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(s220, c_ready)) | (~node2(s220, s221)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15092, 15091])).
% 7.81/5.62 tff(15094,plain,
% 7.81/5.62 ((~m_main_v_state(s220, c_ready)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220))),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15093, 60, 15090])).
% 7.81/5.62 tff(15095,plain,
% 7.81/5.62 (~m_main_v_state(s220, c_ready)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15094, 15086, 15063])).
% 7.81/5.62 tff(15096,plain,
% 7.81/5.62 (~m_main_v_state(s220, c_busy)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15029, 72, 15067])).
% 7.81/5.62 tff(15097,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15098,plain,
% 7.81/5.62 ((~![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))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15099,plain,
% 7.81/5.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s220, c_busy) | m_main_v_state(s220, c_ready)),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15098, 15097])).
% 7.81/5.62 tff(15100,plain,
% 7.81/5.62 ($false),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15099, 89, 15096, 15095])).
% 7.81/5.62 tff(15101,plain,(~node4(s220)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.62 tff(15102,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15103,plain,
% 7.81/5.62 ((node4(s220) | (~until5(s220)) | xuntil6(s220)) <=> (xuntil6(s220) | node4(s220) | (~until5(s220)))),
% 7.81/5.62 inference(rewrite,[status(thm)],[])).
% 7.81/5.62 tff(15104,plain,
% 7.81/5.62 (((~![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))))),
% 7.81/5.62 inference(monotonicity,[status(thm)],[15103])).
% 7.81/5.62 tff(15105,plain,
% 7.81/5.62 (((~![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)))),
% 7.81/5.62 inference(transitivity,[status(thm)],[15104, 15102])).
% 7.81/5.62 tff(15106,plain,
% 7.81/5.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s220) | (~until5(s220)) | xuntil6(s220))),
% 7.81/5.62 inference(quant_inst,[status(thm)],[])).
% 7.81/5.62 tff(15107,plain,
% 7.81/5.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s220) | node4(s220) | (~until5(s220))),
% 7.81/5.62 inference(modus_ponens,[status(thm)],[15106, 15105])).
% 7.81/5.62 tff(15108,plain,
% 7.81/5.62 (xuntil6(s220) | (~until5(s220))),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15107, 352, 15101])).
% 7.81/5.62 tff(15109,plain,
% 7.81/5.62 (xuntil6(s220)),
% 7.81/5.62 inference(unit_resolution,[status(thm)],[15108, 15058])).
% 7.81/5.62 tff(15110,plain,
% 7.81/5.62 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15111,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15112,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15111, 15110])).
% 7.81/5.63 tff(15113,plain,
% 7.81/5.63 ((~xuntil6(s220)) | until5(s221)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15112, 15070, 370])).
% 7.81/5.63 tff(15114,plain,
% 7.81/5.63 (until5(s221)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15113, 15109])).
% 7.81/5.63 tff(15115,assumption,(~xuntil6(s222)), introduced(assumption)).
% 7.81/5.63 tff(15116,assumption,(~always3(s222)), introduced(assumption)).
% 7.81/5.63 tff(15117,plain,
% 7.81/5.63 (succ(s221, s222) <=> succ(s221, s222)),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15118,axiom,(succ(s221, s222)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound222')).
% 7.81/5.63 tff(15119,plain,
% 7.81/5.63 (succ(s221, s222)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15118, 15117])).
% 7.81/5.63 tff(15120,plain,
% 7.81/5.63 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15121,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s221, s222)) | trans(s221, s222))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15122,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s221, s222)) | trans(s221, s222)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15121, 15120])).
% 7.81/5.63 tff(15123,plain,
% 7.81/5.63 (trans(s221, s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15122, 15119, 39])).
% 7.81/5.63 tff(15124,plain,
% 7.81/5.63 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15125,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s221, s222)) | (~always3(s221)) | always3(s222))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15126,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s221, s222)) | (~always3(s221)) | always3(s222)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15125, 15124])).
% 7.81/5.63 tff(15127,plain,
% 7.81/5.63 ((~always3(s221)) | always3(s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15126, 112, 15123])).
% 7.81/5.63 tff(15128,plain,
% 7.81/5.63 (~always3(s221)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15127, 15116])).
% 7.81/5.63 tff(15129,plain,
% 7.81/5.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s221) | (~node4(s221)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s221) | (~node4(s221)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15130,plain,
% 7.81/5.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s221) | (~node4(s221)))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15131,plain,
% 7.81/5.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s221) | (~node4(s221))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15130, 15129])).
% 7.81/5.63 tff(15132,plain,
% 7.81/5.63 (~node4(s221)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15131, 16, 15128])).
% 7.81/5.63 tff(15133,plain,
% 7.81/5.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s222) | (~node4(s222)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s222) | (~node4(s222)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15134,plain,
% 7.81/5.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s222) | (~node4(s222)))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15135,plain,
% 7.81/5.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s222) | (~node4(s222))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15134, 15133])).
% 7.81/5.63 tff(15136,plain,
% 7.81/5.63 (~node4(s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15135, 16, 15116])).
% 7.81/5.63 tff(15137,plain,
% 7.81/5.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s222) | node4(s222) | (~until5(s222)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s222) | node4(s222) | (~until5(s222)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15138,plain,
% 7.81/5.63 ((node4(s222) | (~until5(s222)) | xuntil6(s222)) <=> (xuntil6(s222) | node4(s222) | (~until5(s222)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15139,plain,
% 7.81/5.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s222) | (~until5(s222)) | xuntil6(s222))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s222) | node4(s222) | (~until5(s222))))),
% 7.81/5.63 inference(monotonicity,[status(thm)],[15138])).
% 7.81/5.63 tff(15140,plain,
% 7.81/5.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s222) | (~until5(s222)) | xuntil6(s222))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s222) | node4(s222) | (~until5(s222)))),
% 7.81/5.63 inference(transitivity,[status(thm)],[15139, 15137])).
% 7.81/5.63 tff(15141,plain,
% 7.81/5.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s222) | (~until5(s222)) | xuntil6(s222))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15142,plain,
% 7.81/5.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s222) | node4(s222) | (~until5(s222))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15141, 15140])).
% 7.81/5.63 tff(15143,plain,
% 7.81/5.63 (node4(s222) | (~until5(s222))),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15142, 352, 15115])).
% 7.81/5.63 tff(15144,plain,
% 7.81/5.63 (~until5(s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15143, 15136])).
% 7.81/5.63 tff(15145,plain,
% 7.81/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15146,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15147,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15146, 15145])).
% 7.81/5.63 tff(15148,plain,
% 7.81/5.63 ((~xuntil6(s221)) | until5(s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15147, 15119, 370])).
% 7.81/5.63 tff(15149,plain,
% 7.81/5.63 (~xuntil6(s221)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15148, 15144])).
% 7.81/5.63 tff(15150,plain,
% 7.81/5.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s221) | node4(s221) | (~until5(s221)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s221) | node4(s221) | (~until5(s221)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15151,plain,
% 7.81/5.63 ((node4(s221) | (~until5(s221)) | xuntil6(s221)) <=> (xuntil6(s221) | node4(s221) | (~until5(s221)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15152,plain,
% 7.81/5.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s221) | (~until5(s221)) | xuntil6(s221))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s221) | node4(s221) | (~until5(s221))))),
% 7.81/5.63 inference(monotonicity,[status(thm)],[15151])).
% 7.81/5.63 tff(15153,plain,
% 7.81/5.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s221) | (~until5(s221)) | xuntil6(s221))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s221) | node4(s221) | (~until5(s221)))),
% 7.81/5.63 inference(transitivity,[status(thm)],[15152, 15150])).
% 7.81/5.63 tff(15154,plain,
% 7.81/5.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s221) | (~until5(s221)) | xuntil6(s221))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15155,plain,
% 7.81/5.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s221) | node4(s221) | (~until5(s221))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15154, 15153])).
% 7.81/5.63 tff(15156,plain,
% 7.81/5.63 (~until5(s221)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15155, 352, 15149, 15132])).
% 7.81/5.63 tff(15157,plain,
% 7.81/5.63 (~always3(s220)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15078, 15128])).
% 7.81/5.63 tff(15158,plain,
% 7.81/5.63 (~node4(s220)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15066, 16, 15157])).
% 7.81/5.63 tff(15159,plain,
% 7.81/5.63 (~always3(s219)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15022, 15157])).
% 7.81/5.63 tff(15160,plain,
% 7.81/5.63 (~always3(s218)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14935, 15159])).
% 7.81/5.63 tff(15161,plain,
% 7.81/5.63 (~always3(s217)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14548, 15160])).
% 7.81/5.63 tff(15162,plain,
% 7.81/5.63 (~always3(s216)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14499, 15161])).
% 7.81/5.63 tff(15163,plain,
% 7.81/5.63 (~always3(s215)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14399, 15162])).
% 7.81/5.63 tff(15164,plain,
% 7.81/5.63 (~node4(s215)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14387, 16, 15163])).
% 7.81/5.63 tff(15165,plain,
% 7.81/5.63 (~node4(s217)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14555, 16, 15161])).
% 7.81/5.63 tff(15166,plain,
% 7.81/5.63 (~node4(s216)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14440, 16, 15162])).
% 7.81/5.63 tff(15167,plain,
% 7.81/5.63 (~always3(s214)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14343, 15163])).
% 7.81/5.63 tff(15168,plain,
% 7.81/5.63 (~always3(s213)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14269, 15167])).
% 7.81/5.63 tff(15169,plain,
% 7.81/5.63 (~always3(s212)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14231, 15168])).
% 7.81/5.63 tff(15170,plain,
% 7.81/5.63 (~always3(s211)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14169, 15169])).
% 7.81/5.63 tff(15171,plain,
% 7.81/5.63 (~always3(s210)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[13954, 15170])).
% 7.81/5.63 tff(15172,plain,
% 7.81/5.63 (~always3(s209)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[13898, 15171])).
% 7.81/5.63 tff(15173,plain,
% 7.81/5.63 (~always3(s208)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[13748, 15172])).
% 7.81/5.63 tff(15174,plain,
% 7.81/5.63 (~always3(s207)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12647, 15173])).
% 7.81/5.63 tff(15175,plain,
% 7.81/5.63 (~always3(s206)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12696, 15174])).
% 7.81/5.63 tff(15176,plain,
% 7.81/5.63 (~node4(s206)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12684, 16, 15175])).
% 7.81/5.63 tff(15177,plain,
% 7.81/5.63 (~node4(s209)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[13886, 16, 15172])).
% 7.81/5.63 tff(15178,plain,
% 7.81/5.63 (~always3(s205)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12831, 15175])).
% 7.81/5.63 tff(15179,plain,
% 7.81/5.63 (~always3(s204)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12736, 15178])).
% 7.81/5.63 tff(15180,plain,
% 7.81/5.63 (~always3(s203)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[13513, 15179])).
% 7.81/5.63 tff(15181,plain,
% 7.81/5.63 (~always3(s202)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[13619, 15180])).
% 7.81/5.63 tff(15182,plain,
% 7.81/5.63 (~always3(s201)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12509, 15181])).
% 7.81/5.63 tff(15183,plain,
% 7.81/5.63 (~always3(s200)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12558, 15182])).
% 7.81/5.63 tff(15184,plain,
% 7.81/5.63 (~always3(s199)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12460, 15183])).
% 7.81/5.63 tff(15185,plain,
% 7.81/5.63 (~always3(s198)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12788, 15184])).
% 7.81/5.63 tff(15186,plain,
% 7.81/5.63 (~always3(s197)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12592, 15185])).
% 7.81/5.63 tff(15187,plain,
% 7.81/5.63 (~node4(s197)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12580, 16, 15186])).
% 7.81/5.63 tff(15188,plain,
% 7.81/5.63 (~node4(s207)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12635, 16, 15174])).
% 7.81/5.63 tff(15189,plain,
% 7.81/5.63 (~node4(s205)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12819, 16, 15178])).
% 7.81/5.63 tff(15190,plain,
% 7.81/5.63 (~node4(s204)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12724, 16, 15179])).
% 7.81/5.63 tff(15191,plain,
% 7.81/5.63 (~node4(s201)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12497, 16, 15182])).
% 7.81/5.63 tff(15192,plain,
% 7.81/5.63 (~node4(s200)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12546, 16, 15183])).
% 7.81/5.63 tff(15193,plain,
% 7.81/5.63 (~node4(s199)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12448, 16, 15184])).
% 7.81/5.63 tff(15194,plain,
% 7.81/5.63 (~node4(s198)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[12776, 16, 15185])).
% 7.81/5.63 tff(15195,plain,
% 7.81/5.63 (xuntil6(s218)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[14921, 15194, 15160, 15193, 15192, 15191, 15190, 15189, 15188, 15187, 15177, 15176, 15166, 15165, 15164])).
% 7.81/5.63 tff(15196,plain,
% 7.81/5.63 (until5(s219)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15001, 15195])).
% 7.81/5.63 tff(15197,plain,
% 7.81/5.63 (xuntil6(s219)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15052, 15196])).
% 7.81/5.63 tff(15198,plain,
% 7.81/5.63 (until5(s220)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15057, 15197])).
% 7.81/5.63 tff(15199,plain,
% 7.81/5.63 (xuntil6(s220)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15107, 352, 15198, 15158])).
% 7.81/5.63 tff(15200,plain,
% 7.81/5.63 ($false),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15113, 15199, 15156])).
% 7.81/5.63 tff(15201,plain,(always3(s222) | xuntil6(s222)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.63 tff(15202,plain,
% 7.81/5.63 (always3(s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15201, 15115])).
% 7.81/5.63 tff(15203,plain,
% 7.81/5.63 (((~![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)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15204,plain,
% 7.81/5.63 (((~m_main_v_state(s222, c_busy)) | (~always3(s222))) <=> ((~always3(s222)) | (~m_main_v_state(s222, c_busy)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15205,plain,
% 7.81/5.63 (((~![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))))),
% 7.81/5.63 inference(monotonicity,[status(thm)],[15204])).
% 7.81/5.63 tff(15206,plain,
% 7.81/5.63 (((~![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)))),
% 7.81/5.63 inference(transitivity,[status(thm)],[15205, 15203])).
% 7.81/5.63 tff(15207,plain,
% 7.81/5.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s222, c_busy)) | (~always3(s222)))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15208,plain,
% 7.81/5.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s222)) | (~m_main_v_state(s222, c_busy))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15207, 15206])).
% 7.81/5.63 tff(15209,plain,
% 7.81/5.63 (~m_main_v_state(s222, c_busy)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15208, 72, 15202])).
% 7.81/5.63 tff(15210,assumption,(~m_main_v_state(s222, c_busy)), introduced(assumption)).
% 7.81/5.63 tff(15211,assumption,(node4(s221)), introduced(assumption)).
% 7.81/5.63 tff(15212,plain,
% 7.81/5.63 (((~![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)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15213,plain,
% 7.81/5.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s221) | (~node4(s221)))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15214,plain,
% 7.81/5.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s221) | (~node4(s221))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15213, 15212])).
% 7.81/5.63 tff(15215,plain,
% 7.81/5.63 (m_main_v_request(s221)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15214, 28, 15211])).
% 7.81/5.63 tff(15216,plain,
% 7.81/5.63 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15217,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s221, s222)) | node2(s221, s222))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15218,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s221, s222)) | node2(s221, s222)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15217, 15216])).
% 7.81/5.63 tff(15219,plain,
% 7.81/5.63 (node2(s221, s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15218, 7, 15123])).
% 7.81/5.63 tff(15220,plain,
% 7.81/5.63 (((~![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(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)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15221,plain,
% 7.81/5.63 ((~![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(s221, c_ready)) | (~node2(s221, s222)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221)))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15222,plain,
% 7.81/5.63 ((~![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(s221, c_ready)) | (~node2(s221, s222)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15221, 15220])).
% 7.81/5.63 tff(15223,plain,
% 7.81/5.63 ((~m_main_v_state(s221, c_ready)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221))),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15222, 60, 15219])).
% 7.81/5.63 tff(15224,plain,
% 7.81/5.63 (~m_main_v_state(s221, c_ready)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15223, 15215, 15210])).
% 7.81/5.63 tff(15225,plain,
% 7.81/5.63 (always3(s221)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15131, 16, 15211])).
% 7.81/5.63 tff(15226,plain,
% 7.81/5.63 (~m_main_v_state(s221, c_busy)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15085, 72, 15225])).
% 7.81/5.63 tff(15227,plain,
% 7.81/5.63 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15228,plain,
% 7.81/5.63 ((~![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))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15229,plain,
% 7.81/5.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s221, c_busy) | m_main_v_state(s221, c_ready)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15228, 15227])).
% 7.81/5.63 tff(15230,plain,
% 7.81/5.63 ($false),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15229, 89, 15226, 15224])).
% 7.81/5.63 tff(15231,plain,((~node4(s221)) | m_main_v_state(s222, c_busy)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.63 tff(15232,plain,
% 7.81/5.63 (~node4(s221)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15231, 15209])).
% 7.81/5.63 tff(15233,assumption,(until5(s221)), introduced(assumption)).
% 7.81/5.63 tff(15234,plain,
% 7.81/5.63 (xuntil6(s221) | node4(s221)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15155, 352, 15233])).
% 7.81/5.63 tff(15235,plain,
% 7.81/5.63 (xuntil6(s221)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15234, 15232])).
% 7.81/5.63 tff(15236,plain,
% 7.81/5.63 (until5(s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15148, 15235])).
% 7.81/5.63 tff(15237,assumption,(m_main_v_state(s222, c_ready)), introduced(assumption)).
% 7.81/5.63 tff(15238,assumption,(until5(s222)), introduced(assumption)).
% 7.81/5.63 tff(15239,plain,
% 7.81/5.63 (xuntil6(s222) | node4(s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15142, 352, 15238])).
% 7.81/5.63 tff(15240,plain,
% 7.81/5.63 (node4(s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15239, 15115])).
% 7.81/5.63 tff(15241,plain,
% 7.81/5.63 (((~![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)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15242,plain,
% 7.81/5.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s222) | (~node4(s222)))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15243,plain,
% 7.81/5.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s222) | (~node4(s222))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15242, 15241])).
% 7.81/5.63 tff(15244,plain,
% 7.81/5.63 (m_main_v_request(s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15243, 28, 15240])).
% 7.81/5.63 tff(15245,plain,
% 7.81/5.63 (succ(s222, s223) <=> succ(s222, s223)),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15246,axiom,(succ(s222, s223)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound223')).
% 7.81/5.63 tff(15247,plain,
% 7.81/5.63 (succ(s222, s223)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15246, 15245])).
% 7.81/5.63 tff(15248,plain,
% 7.81/5.63 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15249,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s222, s223)) | trans(s222, s223))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15250,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s222, s223)) | trans(s222, s223)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15249, 15248])).
% 7.81/5.63 tff(15251,plain,
% 7.81/5.63 (trans(s222, s223)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15250, 15247, 39])).
% 7.81/5.63 tff(15252,plain,
% 7.81/5.63 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15253,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s222, s223)) | (~always3(s222)) | always3(s223))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15254,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s222, s223)) | (~always3(s222)) | always3(s223)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15253, 15252])).
% 7.81/5.63 tff(15255,plain,
% 7.81/5.63 ((~always3(s222)) | always3(s223)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15254, 112, 15251])).
% 7.81/5.63 tff(15256,plain,
% 7.81/5.63 (always3(s223)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15255, 15202])).
% 7.81/5.63 tff(15257,plain,
% 7.81/5.63 (((~![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)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15258,plain,
% 7.81/5.63 (((~m_main_v_state(s223, c_busy)) | (~always3(s223))) <=> ((~always3(s223)) | (~m_main_v_state(s223, c_busy)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15259,plain,
% 7.81/5.63 (((~![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))))),
% 7.81/5.63 inference(monotonicity,[status(thm)],[15258])).
% 7.81/5.63 tff(15260,plain,
% 7.81/5.63 (((~![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)))),
% 7.81/5.63 inference(transitivity,[status(thm)],[15259, 15257])).
% 7.81/5.63 tff(15261,plain,
% 7.81/5.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s223, c_busy)) | (~always3(s223)))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15262,plain,
% 7.81/5.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s223)) | (~m_main_v_state(s223, c_busy))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15261, 15260])).
% 7.81/5.63 tff(15263,plain,
% 7.81/5.63 (~m_main_v_state(s223, c_busy)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15262, 72, 15256])).
% 7.81/5.63 tff(15264,plain,
% 7.81/5.63 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15265,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s222, s223)) | node2(s222, s223))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15266,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s222, s223)) | node2(s222, s223)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15265, 15264])).
% 7.81/5.63 tff(15267,plain,
% 7.81/5.63 (node2(s222, s223)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15266, 7, 15251])).
% 7.81/5.63 tff(15268,plain,
% 7.81/5.63 (((~![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(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)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15269,plain,
% 7.81/5.63 ((~![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(s222, c_ready)) | (~node2(s222, s223)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222)))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15270,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s222, c_ready)) | (~node2(s222, s223)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15269, 15268])).
% 7.81/5.63 tff(15271,plain,
% 7.81/5.63 ((~m_main_v_state(s222, c_ready)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222))),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15270, 60, 15267])).
% 7.81/5.63 tff(15272,plain,
% 7.81/5.63 ($false),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15271, 15263, 15244, 15237])).
% 7.81/5.63 tff(15273,plain,(xuntil6(s222) | (~m_main_v_state(s222, c_ready)) | (~until5(s222))), inference(lemma,lemma(discharge,[]))).
% 7.81/5.63 tff(15274,plain,
% 7.81/5.63 (~m_main_v_state(s222, c_ready)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15273, 15236, 15115])).
% 7.81/5.63 tff(15275,plain,
% 7.81/5.63 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15276,plain,
% 7.81/5.63 ((~![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))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15277,plain,
% 7.81/5.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s222, c_busy) | m_main_v_state(s222, c_ready)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 7.81/5.63 tff(15278,plain,
% 7.81/5.63 ($false),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15277, 89, 15209, 15274])).
% 7.81/5.63 tff(15279,plain,(xuntil6(s222) | (~until5(s221))), inference(lemma,lemma(discharge,[]))).
% 7.81/5.63 tff(15280,plain,
% 7.81/5.63 (xuntil6(s222)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15279, 15114])).
% 7.81/5.63 tff(15281,plain,
% 7.81/5.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15282,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15283,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15282, 15281])).
% 7.81/5.63 tff(15284,plain,
% 7.81/5.63 ((~xuntil6(s222)) | until5(s223)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15283, 15247, 370])).
% 7.81/5.63 tff(15285,plain,
% 7.81/5.63 (until5(s223)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15284, 15280])).
% 7.81/5.63 tff(15286,assumption,(node4(s223)), introduced(assumption)).
% 7.81/5.63 tff(15287,plain,
% 7.81/5.63 (((~![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)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15288,plain,
% 7.81/5.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s223) | (~node4(s223)))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15289,plain,
% 7.81/5.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s223) | (~node4(s223))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15288, 15287])).
% 7.81/5.63 tff(15290,plain,
% 7.81/5.63 (m_main_v_request(s223)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15289, 28, 15286])).
% 7.81/5.63 tff(15291,plain,
% 7.81/5.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s223) | (~node4(s223)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s223) | (~node4(s223)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15292,plain,
% 7.81/5.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s223) | (~node4(s223)))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15293,plain,
% 7.81/5.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s223) | (~node4(s223))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 7.81/5.63 tff(15294,plain,
% 7.81/5.63 (always3(s223)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15293, 16, 15286])).
% 7.81/5.63 tff(15295,plain,
% 7.81/5.63 (succ(s223, s224) <=> succ(s223, s224)),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15296,axiom,(succ(s223, s224)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound224')).
% 7.81/5.63 tff(15297,plain,
% 7.81/5.63 (succ(s223, s224)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15296, 15295])).
% 7.81/5.63 tff(15298,plain,
% 7.81/5.63 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15299,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s223, s224)) | trans(s223, s224))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15300,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s223, s224)) | trans(s223, s224)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15299, 15298])).
% 7.81/5.63 tff(15301,plain,
% 7.81/5.63 (trans(s223, s224)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15300, 15297, 39])).
% 7.81/5.63 tff(15302,plain,
% 7.81/5.63 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15303,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s223, s224)) | (~always3(s223)) | always3(s224))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15304,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s223, s224)) | (~always3(s223)) | always3(s224)),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15303, 15302])).
% 7.81/5.63 tff(15305,plain,
% 7.81/5.63 ((~always3(s223)) | always3(s224)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15304, 112, 15301])).
% 7.81/5.63 tff(15306,plain,
% 7.81/5.63 (always3(s224)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15305, 15294])).
% 7.81/5.63 tff(15307,plain,
% 7.81/5.63 (((~![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)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15308,plain,
% 7.81/5.63 (((~m_main_v_state(s224, c_busy)) | (~always3(s224))) <=> ((~always3(s224)) | (~m_main_v_state(s224, c_busy)))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15309,plain,
% 7.81/5.63 (((~![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))))),
% 7.81/5.63 inference(monotonicity,[status(thm)],[15308])).
% 7.81/5.63 tff(15310,plain,
% 7.81/5.63 (((~![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)))),
% 7.81/5.63 inference(transitivity,[status(thm)],[15309, 15307])).
% 7.81/5.63 tff(15311,plain,
% 7.81/5.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s224, c_busy)) | (~always3(s224)))),
% 7.81/5.63 inference(quant_inst,[status(thm)],[])).
% 7.81/5.63 tff(15312,plain,
% 7.81/5.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s224)) | (~m_main_v_state(s224, c_busy))),
% 7.81/5.63 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 7.81/5.63 tff(15313,plain,
% 7.81/5.63 (~m_main_v_state(s224, c_busy)),
% 7.81/5.63 inference(unit_resolution,[status(thm)],[15312, 72, 15306])).
% 7.81/5.63 tff(15314,plain,
% 7.81/5.63 (((~![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))),
% 7.81/5.63 inference(rewrite,[status(thm)],[])).
% 7.81/5.63 tff(15315,plain,
% 7.81/5.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s223, s224)) | node2(s223, s224))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15316,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s223, s224)) | node2(s223, s224)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15315, 15314])).
% 7.81/5.64 tff(15317,plain,
% 7.81/5.64 (node2(s223, s224)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15316, 7, 15301])).
% 7.81/5.64 tff(15318,plain,
% 7.81/5.64 (((~![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(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)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15319,plain,
% 7.81/5.64 ((~![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(s223, c_ready)) | (~node2(s223, s224)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15320,plain,
% 7.81/5.64 ((~![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(s223, c_ready)) | (~node2(s223, s224)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15319, 15318])).
% 7.81/5.64 tff(15321,plain,
% 7.81/5.64 ((~m_main_v_state(s223, c_ready)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223))),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15320, 60, 15317])).
% 7.81/5.64 tff(15322,plain,
% 7.81/5.64 (~m_main_v_state(s223, c_ready)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15321, 15313, 15290])).
% 7.81/5.64 tff(15323,plain,
% 7.81/5.64 (~m_main_v_state(s223, c_busy)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15262, 72, 15294])).
% 7.81/5.64 tff(15324,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15325,plain,
% 7.81/5.64 ((~![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))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15326,plain,
% 7.81/5.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s223, c_busy) | m_main_v_state(s223, c_ready)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15325, 15324])).
% 7.81/5.64 tff(15327,plain,
% 7.81/5.64 ($false),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15326, 89, 15323, 15322])).
% 7.81/5.64 tff(15328,plain,(~node4(s223)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.64 tff(15329,plain,
% 7.81/5.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s223) | node4(s223) | (~until5(s223)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s223) | node4(s223) | (~until5(s223)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15330,plain,
% 7.81/5.64 ((node4(s223) | (~until5(s223)) | xuntil6(s223)) <=> (xuntil6(s223) | node4(s223) | (~until5(s223)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15331,plain,
% 7.81/5.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s223) | (~until5(s223)) | xuntil6(s223))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s223) | node4(s223) | (~until5(s223))))),
% 7.81/5.64 inference(monotonicity,[status(thm)],[15330])).
% 7.81/5.64 tff(15332,plain,
% 7.81/5.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s223) | (~until5(s223)) | xuntil6(s223))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s223) | node4(s223) | (~until5(s223)))),
% 7.81/5.64 inference(transitivity,[status(thm)],[15331, 15329])).
% 7.81/5.64 tff(15333,plain,
% 7.81/5.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s223) | (~until5(s223)) | xuntil6(s223))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15334,plain,
% 7.81/5.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s223) | node4(s223) | (~until5(s223))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15333, 15332])).
% 7.81/5.64 tff(15335,plain,
% 7.81/5.64 (xuntil6(s223) | (~until5(s223))),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15334, 352, 15328])).
% 7.81/5.64 tff(15336,plain,
% 7.81/5.64 (xuntil6(s223)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15335, 15285])).
% 7.81/5.64 tff(15337,plain,
% 7.81/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15338,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15339,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15338, 15337])).
% 7.81/5.64 tff(15340,plain,
% 7.81/5.64 ((~xuntil6(s223)) | until5(s224)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15339, 15297, 370])).
% 7.81/5.64 tff(15341,plain,
% 7.81/5.64 (until5(s224)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15340, 15336])).
% 7.81/5.64 tff(15342,assumption,(node4(s224)), introduced(assumption)).
% 7.81/5.64 tff(15343,plain,
% 7.81/5.64 (((~![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)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15344,plain,
% 7.81/5.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s224) | (~node4(s224)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15345,plain,
% 7.81/5.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s224) | (~node4(s224))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15344, 15343])).
% 7.81/5.64 tff(15346,plain,
% 7.81/5.64 (m_main_v_request(s224)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15345, 28, 15342])).
% 7.81/5.64 tff(15347,plain,
% 7.81/5.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s224) | (~node4(s224)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s224) | (~node4(s224)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15348,plain,
% 7.81/5.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s224) | (~node4(s224)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15349,plain,
% 7.81/5.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s224) | (~node4(s224))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15348, 15347])).
% 7.81/5.64 tff(15350,plain,
% 7.81/5.64 (always3(s224)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15349, 16, 15342])).
% 7.81/5.64 tff(15351,plain,
% 7.81/5.64 (succ(s224, s225) <=> succ(s224, s225)),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15352,axiom,(succ(s224, s225)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound225')).
% 7.81/5.64 tff(15353,plain,
% 7.81/5.64 (succ(s224, s225)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15352, 15351])).
% 7.81/5.64 tff(15354,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15355,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s224, s225)) | trans(s224, s225))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15356,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s224, s225)) | trans(s224, s225)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15355, 15354])).
% 7.81/5.64 tff(15357,plain,
% 7.81/5.64 (trans(s224, s225)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15356, 15353, 39])).
% 7.81/5.64 tff(15358,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15359,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s224, s225)) | (~always3(s224)) | always3(s225))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15360,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s224, s225)) | (~always3(s224)) | always3(s225)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15359, 15358])).
% 7.81/5.64 tff(15361,plain,
% 7.81/5.64 ((~always3(s224)) | always3(s225)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15360, 112, 15357])).
% 7.81/5.64 tff(15362,plain,
% 7.81/5.64 (always3(s225)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15361, 15350])).
% 7.81/5.64 tff(15363,plain,
% 7.81/5.64 (((~![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)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15364,plain,
% 7.81/5.64 (((~m_main_v_state(s225, c_busy)) | (~always3(s225))) <=> ((~always3(s225)) | (~m_main_v_state(s225, c_busy)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15365,plain,
% 7.81/5.64 (((~![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))))),
% 7.81/5.64 inference(monotonicity,[status(thm)],[15364])).
% 7.81/5.64 tff(15366,plain,
% 7.81/5.64 (((~![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)))),
% 7.81/5.64 inference(transitivity,[status(thm)],[15365, 15363])).
% 7.81/5.64 tff(15367,plain,
% 7.81/5.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s225, c_busy)) | (~always3(s225)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15368,plain,
% 7.81/5.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s225)) | (~m_main_v_state(s225, c_busy))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15367, 15366])).
% 7.81/5.64 tff(15369,plain,
% 7.81/5.64 (~m_main_v_state(s225, c_busy)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15368, 72, 15362])).
% 7.81/5.64 tff(15370,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15371,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s224, s225)) | node2(s224, s225))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15372,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s224, s225)) | node2(s224, s225)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15371, 15370])).
% 7.81/5.64 tff(15373,plain,
% 7.81/5.64 (node2(s224, s225)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15372, 7, 15357])).
% 7.81/5.64 tff(15374,plain,
% 7.81/5.64 (((~![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(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)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15375,plain,
% 7.81/5.64 ((~![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(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15376,plain,
% 7.81/5.64 ((~![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(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15375, 15374])).
% 7.81/5.64 tff(15377,plain,
% 7.81/5.64 ((~m_main_v_state(s224, c_ready)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224))),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15376, 60, 15373])).
% 7.81/5.64 tff(15378,plain,
% 7.81/5.64 (~m_main_v_state(s224, c_ready)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15377, 15369, 15346])).
% 7.81/5.64 tff(15379,plain,
% 7.81/5.64 (~m_main_v_state(s224, c_busy)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15312, 72, 15350])).
% 7.81/5.64 tff(15380,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15381,plain,
% 7.81/5.64 ((~![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))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15382,plain,
% 7.81/5.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s224, c_busy) | m_main_v_state(s224, c_ready)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15381, 15380])).
% 7.81/5.64 tff(15383,plain,
% 7.81/5.64 ($false),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15382, 89, 15379, 15378])).
% 7.81/5.64 tff(15384,plain,(~node4(s224)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.64 tff(15385,plain,
% 7.81/5.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s224) | node4(s224) | (~until5(s224)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s224) | node4(s224) | (~until5(s224)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15386,plain,
% 7.81/5.64 ((node4(s224) | (~until5(s224)) | xuntil6(s224)) <=> (xuntil6(s224) | node4(s224) | (~until5(s224)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15387,plain,
% 7.81/5.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s224) | (~until5(s224)) | xuntil6(s224))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s224) | node4(s224) | (~until5(s224))))),
% 7.81/5.64 inference(monotonicity,[status(thm)],[15386])).
% 7.81/5.64 tff(15388,plain,
% 7.81/5.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s224) | (~until5(s224)) | xuntil6(s224))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s224) | node4(s224) | (~until5(s224)))),
% 7.81/5.64 inference(transitivity,[status(thm)],[15387, 15385])).
% 7.81/5.64 tff(15389,plain,
% 7.81/5.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s224) | (~until5(s224)) | xuntil6(s224))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15390,plain,
% 7.81/5.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s224) | node4(s224) | (~until5(s224))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15389, 15388])).
% 7.81/5.64 tff(15391,plain,
% 7.81/5.64 (xuntil6(s224) | (~until5(s224))),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15390, 352, 15384])).
% 7.81/5.64 tff(15392,plain,
% 7.81/5.64 (xuntil6(s224)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15391, 15341])).
% 7.81/5.64 tff(15393,plain,
% 7.81/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15394,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15395,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15394, 15393])).
% 7.81/5.64 tff(15396,plain,
% 7.81/5.64 ((~xuntil6(s224)) | until5(s225)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15395, 15353, 370])).
% 7.81/5.64 tff(15397,plain,
% 7.81/5.64 (until5(s225)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15396, 15392])).
% 7.81/5.64 tff(15398,assumption,(node4(s225)), introduced(assumption)).
% 7.81/5.64 tff(15399,plain,
% 7.81/5.64 (((~![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)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15400,plain,
% 7.81/5.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s225) | (~node4(s225)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15401,plain,
% 7.81/5.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s225) | (~node4(s225))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15400, 15399])).
% 7.81/5.64 tff(15402,plain,
% 7.81/5.64 (m_main_v_request(s225)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15401, 28, 15398])).
% 7.81/5.64 tff(15403,plain,
% 7.81/5.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s225) | (~node4(s225)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s225) | (~node4(s225)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15404,plain,
% 7.81/5.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s225) | (~node4(s225)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15405,plain,
% 7.81/5.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s225) | (~node4(s225))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15404, 15403])).
% 7.81/5.64 tff(15406,plain,
% 7.81/5.64 (always3(s225)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15405, 16, 15398])).
% 7.81/5.64 tff(15407,plain,
% 7.81/5.64 (succ(s225, s226) <=> succ(s225, s226)),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15408,axiom,(succ(s225, s226)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound226')).
% 7.81/5.64 tff(15409,plain,
% 7.81/5.64 (succ(s225, s226)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15408, 15407])).
% 7.81/5.64 tff(15410,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15411,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s225, s226)) | trans(s225, s226))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15412,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s225, s226)) | trans(s225, s226)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15411, 15410])).
% 7.81/5.64 tff(15413,plain,
% 7.81/5.64 (trans(s225, s226)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15412, 15409, 39])).
% 7.81/5.64 tff(15414,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15415,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s225, s226)) | (~always3(s225)) | always3(s226))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15416,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s225, s226)) | (~always3(s225)) | always3(s226)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15415, 15414])).
% 7.81/5.64 tff(15417,plain,
% 7.81/5.64 ((~always3(s225)) | always3(s226)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15416, 112, 15413])).
% 7.81/5.64 tff(15418,plain,
% 7.81/5.64 (always3(s226)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15417, 15406])).
% 7.81/5.64 tff(15419,plain,
% 7.81/5.64 (((~![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)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15420,plain,
% 7.81/5.64 (((~m_main_v_state(s226, c_busy)) | (~always3(s226))) <=> ((~always3(s226)) | (~m_main_v_state(s226, c_busy)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15421,plain,
% 7.81/5.64 (((~![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))))),
% 7.81/5.64 inference(monotonicity,[status(thm)],[15420])).
% 7.81/5.64 tff(15422,plain,
% 7.81/5.64 (((~![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)))),
% 7.81/5.64 inference(transitivity,[status(thm)],[15421, 15419])).
% 7.81/5.64 tff(15423,plain,
% 7.81/5.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s226, c_busy)) | (~always3(s226)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15424,plain,
% 7.81/5.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s226)) | (~m_main_v_state(s226, c_busy))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15423, 15422])).
% 7.81/5.64 tff(15425,plain,
% 7.81/5.64 (~m_main_v_state(s226, c_busy)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15424, 72, 15418])).
% 7.81/5.64 tff(15426,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15427,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s225, s226)) | node2(s225, s226))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15428,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s225, s226)) | node2(s225, s226)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15427, 15426])).
% 7.81/5.64 tff(15429,plain,
% 7.81/5.64 (node2(s225, s226)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15428, 7, 15413])).
% 7.81/5.64 tff(15430,plain,
% 7.81/5.64 (((~![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(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)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15431,plain,
% 7.81/5.64 ((~![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(s225, c_ready)) | (~node2(s225, s226)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15432,plain,
% 7.81/5.64 ((~![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(s225, c_ready)) | (~node2(s225, s226)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15431, 15430])).
% 7.81/5.64 tff(15433,plain,
% 7.81/5.64 ((~m_main_v_state(s225, c_ready)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225))),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15432, 60, 15429])).
% 7.81/5.64 tff(15434,plain,
% 7.81/5.64 (~m_main_v_state(s225, c_ready)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15433, 15425, 15402])).
% 7.81/5.64 tff(15435,plain,
% 7.81/5.64 (~m_main_v_state(s225, c_busy)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15368, 72, 15406])).
% 7.81/5.64 tff(15436,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15437,plain,
% 7.81/5.64 ((~![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))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15438,plain,
% 7.81/5.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s225, c_busy) | m_main_v_state(s225, c_ready)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15437, 15436])).
% 7.81/5.64 tff(15439,plain,
% 7.81/5.64 ($false),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15438, 89, 15435, 15434])).
% 7.81/5.64 tff(15440,plain,(~node4(s225)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.64 tff(15441,plain,
% 7.81/5.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s225) | node4(s225) | (~until5(s225)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s225) | node4(s225) | (~until5(s225)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15442,plain,
% 7.81/5.64 ((node4(s225) | (~until5(s225)) | xuntil6(s225)) <=> (xuntil6(s225) | node4(s225) | (~until5(s225)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15443,plain,
% 7.81/5.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s225) | (~until5(s225)) | xuntil6(s225))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s225) | node4(s225) | (~until5(s225))))),
% 7.81/5.64 inference(monotonicity,[status(thm)],[15442])).
% 7.81/5.64 tff(15444,plain,
% 7.81/5.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s225) | (~until5(s225)) | xuntil6(s225))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s225) | node4(s225) | (~until5(s225)))),
% 7.81/5.64 inference(transitivity,[status(thm)],[15443, 15441])).
% 7.81/5.64 tff(15445,plain,
% 7.81/5.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s225) | (~until5(s225)) | xuntil6(s225))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15446,plain,
% 7.81/5.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s225) | node4(s225) | (~until5(s225))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15445, 15444])).
% 7.81/5.64 tff(15447,plain,
% 7.81/5.64 (xuntil6(s225) | (~until5(s225))),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15446, 352, 15440])).
% 7.81/5.64 tff(15448,plain,
% 7.81/5.64 (xuntil6(s225)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15447, 15397])).
% 7.81/5.64 tff(15449,plain,
% 7.81/5.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15450,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15451,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15450, 15449])).
% 7.81/5.64 tff(15452,plain,
% 7.81/5.64 ((~xuntil6(s225)) | until5(s226)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15451, 15409, 370])).
% 7.81/5.64 tff(15453,plain,
% 7.81/5.64 (until5(s226)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15452, 15448])).
% 7.81/5.64 tff(15454,assumption,(node4(s226)), introduced(assumption)).
% 7.81/5.64 tff(15455,plain,
% 7.81/5.64 (((~![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)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15456,plain,
% 7.81/5.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s226) | (~node4(s226)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15457,plain,
% 7.81/5.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s226) | (~node4(s226))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15456, 15455])).
% 7.81/5.64 tff(15458,plain,
% 7.81/5.64 (m_main_v_request(s226)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15457, 28, 15454])).
% 7.81/5.64 tff(15459,plain,
% 7.81/5.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s226) | (~node4(s226)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s226) | (~node4(s226)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15460,plain,
% 7.81/5.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s226) | (~node4(s226)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15461,plain,
% 7.81/5.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s226) | (~node4(s226))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15460, 15459])).
% 7.81/5.64 tff(15462,plain,
% 7.81/5.64 (always3(s226)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15461, 16, 15454])).
% 7.81/5.64 tff(15463,plain,
% 7.81/5.64 (succ(s226, s227) <=> succ(s226, s227)),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15464,axiom,(succ(s226, s227)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound227')).
% 7.81/5.64 tff(15465,plain,
% 7.81/5.64 (succ(s226, s227)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15464, 15463])).
% 7.81/5.64 tff(15466,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15467,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s226, s227)) | trans(s226, s227))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15468,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s226, s227)) | trans(s226, s227)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15467, 15466])).
% 7.81/5.64 tff(15469,plain,
% 7.81/5.64 (trans(s226, s227)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15468, 15465, 39])).
% 7.81/5.64 tff(15470,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15471,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s226, s227)) | (~always3(s226)) | always3(s227))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15472,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s226, s227)) | (~always3(s226)) | always3(s227)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15471, 15470])).
% 7.81/5.64 tff(15473,plain,
% 7.81/5.64 ((~always3(s226)) | always3(s227)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15472, 112, 15469])).
% 7.81/5.64 tff(15474,plain,
% 7.81/5.64 (always3(s227)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15473, 15462])).
% 7.81/5.64 tff(15475,plain,
% 7.81/5.64 (((~![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)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15476,plain,
% 7.81/5.64 (((~m_main_v_state(s227, c_busy)) | (~always3(s227))) <=> ((~always3(s227)) | (~m_main_v_state(s227, c_busy)))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15477,plain,
% 7.81/5.64 (((~![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))))),
% 7.81/5.64 inference(monotonicity,[status(thm)],[15476])).
% 7.81/5.64 tff(15478,plain,
% 7.81/5.64 (((~![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)))),
% 7.81/5.64 inference(transitivity,[status(thm)],[15477, 15475])).
% 7.81/5.64 tff(15479,plain,
% 7.81/5.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s227, c_busy)) | (~always3(s227)))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15480,plain,
% 7.81/5.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s227)) | (~m_main_v_state(s227, c_busy))),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15479, 15478])).
% 7.81/5.64 tff(15481,plain,
% 7.81/5.64 (~m_main_v_state(s227, c_busy)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15480, 72, 15474])).
% 7.81/5.64 tff(15482,plain,
% 7.81/5.64 (((~![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))),
% 7.81/5.64 inference(rewrite,[status(thm)],[])).
% 7.81/5.64 tff(15483,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s226, s227)) | node2(s226, s227))),
% 7.81/5.64 inference(quant_inst,[status(thm)],[])).
% 7.81/5.64 tff(15484,plain,
% 7.81/5.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s226, s227)) | node2(s226, s227)),
% 7.81/5.64 inference(modus_ponens,[status(thm)],[15483, 15482])).
% 7.81/5.64 tff(15485,plain,
% 7.81/5.64 (node2(s226, s227)),
% 7.81/5.64 inference(unit_resolution,[status(thm)],[15484, 7, 15469])).
% 7.81/5.65 tff(15486,plain,
% 7.81/5.65 (((~![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(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)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15487,plain,
% 7.81/5.65 ((~![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(s226, c_ready)) | (~node2(s226, s227)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226)))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15488,plain,
% 7.81/5.65 ((~![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(s226, c_ready)) | (~node2(s226, s227)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15487, 15486])).
% 7.81/5.65 tff(15489,plain,
% 7.81/5.65 ((~m_main_v_state(s226, c_ready)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226))),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15488, 60, 15485])).
% 7.81/5.65 tff(15490,plain,
% 7.81/5.65 (~m_main_v_state(s226, c_ready)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15489, 15481, 15458])).
% 7.81/5.65 tff(15491,plain,
% 7.81/5.65 (~m_main_v_state(s226, c_busy)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15424, 72, 15462])).
% 7.81/5.65 tff(15492,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15493,plain,
% 7.81/5.65 ((~![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))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15494,plain,
% 7.81/5.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s226, c_busy) | m_main_v_state(s226, c_ready)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15493, 15492])).
% 7.81/5.65 tff(15495,plain,
% 7.81/5.65 ($false),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15494, 89, 15491, 15490])).
% 7.81/5.65 tff(15496,plain,(~node4(s226)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.65 tff(15497,plain,
% 7.81/5.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s226) | node4(s226) | (~until5(s226)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s226) | node4(s226) | (~until5(s226)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15498,plain,
% 7.81/5.65 ((node4(s226) | (~until5(s226)) | xuntil6(s226)) <=> (xuntil6(s226) | node4(s226) | (~until5(s226)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15499,plain,
% 7.81/5.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s226) | (~until5(s226)) | xuntil6(s226))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s226) | node4(s226) | (~until5(s226))))),
% 7.81/5.65 inference(monotonicity,[status(thm)],[15498])).
% 7.81/5.65 tff(15500,plain,
% 7.81/5.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s226) | (~until5(s226)) | xuntil6(s226))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s226) | node4(s226) | (~until5(s226)))),
% 7.81/5.65 inference(transitivity,[status(thm)],[15499, 15497])).
% 7.81/5.65 tff(15501,plain,
% 7.81/5.65 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s226) | (~until5(s226)) | xuntil6(s226))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15502,plain,
% 7.81/5.65 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s226) | node4(s226) | (~until5(s226))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15501, 15500])).
% 7.81/5.65 tff(15503,plain,
% 7.81/5.65 (xuntil6(s226) | (~until5(s226))),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15502, 352, 15496])).
% 7.81/5.65 tff(15504,plain,
% 7.81/5.65 (xuntil6(s226)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15503, 15453])).
% 7.81/5.65 tff(15505,plain,
% 7.81/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15506,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15507,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15506, 15505])).
% 7.81/5.65 tff(15508,plain,
% 7.81/5.65 ((~xuntil6(s226)) | until5(s227)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15507, 15465, 370])).
% 7.81/5.65 tff(15509,plain,
% 7.81/5.65 (until5(s227)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15508, 15504])).
% 7.81/5.65 tff(15510,assumption,(~xuntil6(s232)), introduced(assumption)).
% 7.81/5.65 tff(15511,assumption,(~always3(s228)), introduced(assumption)).
% 7.81/5.65 tff(15512,plain,
% 7.81/5.65 (succ(s227, s228) <=> succ(s227, s228)),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15513,axiom,(succ(s227, s228)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound228')).
% 7.81/5.65 tff(15514,plain,
% 7.81/5.65 (succ(s227, s228)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15513, 15512])).
% 7.81/5.65 tff(15515,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15516,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s227, s228)) | trans(s227, s228))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15517,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s227, s228)) | trans(s227, s228)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 7.81/5.65 tff(15518,plain,
% 7.81/5.65 (trans(s227, s228)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15517, 15514, 39])).
% 7.81/5.65 tff(15519,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15520,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s227, s228)) | (~always3(s227)) | always3(s228))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15521,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s227, s228)) | (~always3(s227)) | always3(s228)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15520, 15519])).
% 7.81/5.65 tff(15522,plain,
% 7.81/5.65 ((~always3(s227)) | always3(s228)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15521, 112, 15518])).
% 7.81/5.65 tff(15523,plain,
% 7.81/5.65 (~always3(s227)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15522, 15511])).
% 7.81/5.65 tff(15524,plain,
% 7.81/5.65 (~always3(s226)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15473, 15523])).
% 7.81/5.65 tff(15525,plain,
% 7.81/5.65 (~always3(s225)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15417, 15524])).
% 7.81/5.65 tff(15526,plain,
% 7.81/5.65 (~always3(s224)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15361, 15525])).
% 7.81/5.65 tff(15527,plain,
% 7.81/5.65 (~always3(s223)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15305, 15526])).
% 7.81/5.65 tff(15528,plain,
% 7.81/5.65 (~always3(s222)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15255, 15527])).
% 7.81/5.65 tff(15529,plain,
% 7.81/5.65 (xuntil6(s222)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15201, 15528])).
% 7.81/5.65 tff(15530,plain,
% 7.81/5.65 (until5(s223)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15284, 15529])).
% 7.81/5.65 tff(15531,plain,
% 7.81/5.65 (xuntil6(s223)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15335, 15530])).
% 7.81/5.65 tff(15532,plain,
% 7.81/5.65 (until5(s224)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15340, 15531])).
% 7.81/5.65 tff(15533,plain,
% 7.81/5.65 (xuntil6(s224)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15391, 15532])).
% 7.81/5.65 tff(15534,plain,
% 7.81/5.65 (until5(s225)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15396, 15533])).
% 7.81/5.65 tff(15535,plain,
% 7.81/5.65 (xuntil6(s225)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15447, 15534])).
% 7.81/5.65 tff(15536,plain,
% 7.81/5.65 (until5(s226)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15452, 15535])).
% 7.81/5.65 tff(15537,plain,
% 7.81/5.65 (xuntil6(s226)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15503, 15536])).
% 7.81/5.65 tff(15538,plain,
% 7.81/5.65 (until5(s227)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15508, 15537])).
% 7.81/5.65 tff(15539,assumption,(~always3(s232)), introduced(assumption)).
% 7.81/5.65 tff(15540,plain,
% 7.81/5.65 (succ(s231, s232) <=> succ(s231, s232)),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15541,axiom,(succ(s231, s232)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound232')).
% 7.81/5.65 tff(15542,plain,
% 7.81/5.65 (succ(s231, s232)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15541, 15540])).
% 7.81/5.65 tff(15543,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15544,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s231, s232)) | trans(s231, s232))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15545,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s231, s232)) | trans(s231, s232)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15544, 15543])).
% 7.81/5.65 tff(15546,plain,
% 7.81/5.65 (trans(s231, s232)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15545, 15542, 39])).
% 7.81/5.65 tff(15547,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15548,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s231, s232)) | (~always3(s231)) | always3(s232))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15549,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s231, s232)) | (~always3(s231)) | always3(s232)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15548, 15547])).
% 7.81/5.65 tff(15550,plain,
% 7.81/5.65 ((~always3(s231)) | always3(s232)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15549, 112, 15546])).
% 7.81/5.65 tff(15551,plain,
% 7.81/5.65 (~always3(s231)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15550, 15539])).
% 7.81/5.65 tff(15552,plain,
% 7.81/5.65 (succ(s230, s231) <=> succ(s230, s231)),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15553,axiom,(succ(s230, s231)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound231')).
% 7.81/5.65 tff(15554,plain,
% 7.81/5.65 (succ(s230, s231)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15553, 15552])).
% 7.81/5.65 tff(15555,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15556,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s230, s231)) | trans(s230, s231))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15557,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s230, s231)) | trans(s230, s231)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15556, 15555])).
% 7.81/5.65 tff(15558,plain,
% 7.81/5.65 (trans(s230, s231)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15557, 15554, 39])).
% 7.81/5.65 tff(15559,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15560,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s230, s231)) | (~always3(s230)) | always3(s231))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15561,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s230, s231)) | (~always3(s230)) | always3(s231)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15560, 15559])).
% 7.81/5.65 tff(15562,plain,
% 7.81/5.65 ((~always3(s230)) | always3(s231)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15561, 112, 15558])).
% 7.81/5.65 tff(15563,plain,
% 7.81/5.65 (~always3(s230)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15562, 15551])).
% 7.81/5.65 tff(15564,plain,
% 7.81/5.65 (succ(s229, s230) <=> succ(s229, s230)),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15565,axiom,(succ(s229, s230)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound230')).
% 7.81/5.65 tff(15566,plain,
% 7.81/5.65 (succ(s229, s230)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15565, 15564])).
% 7.81/5.65 tff(15567,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15568,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s229, s230)) | trans(s229, s230))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15569,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s229, s230)) | trans(s229, s230)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15568, 15567])).
% 7.81/5.65 tff(15570,plain,
% 7.81/5.65 (trans(s229, s230)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15569, 15566, 39])).
% 7.81/5.65 tff(15571,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15572,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s229, s230)) | (~always3(s229)) | always3(s230))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15573,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s229, s230)) | (~always3(s229)) | always3(s230)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15572, 15571])).
% 7.81/5.65 tff(15574,plain,
% 7.81/5.65 ((~always3(s229)) | always3(s230)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15573, 112, 15570])).
% 7.81/5.65 tff(15575,plain,
% 7.81/5.65 (~always3(s229)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15574, 15563])).
% 7.81/5.65 tff(15576,plain,
% 7.81/5.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s229) | (~node4(s229)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s229) | (~node4(s229)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15577,plain,
% 7.81/5.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s229) | (~node4(s229)))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15578,plain,
% 7.81/5.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s229) | (~node4(s229))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15577, 15576])).
% 7.81/5.65 tff(15579,plain,
% 7.81/5.65 (~node4(s229)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15578, 16, 15575])).
% 7.81/5.65 tff(15580,plain,
% 7.81/5.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s232) | (~node4(s232)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s232) | (~node4(s232)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15581,plain,
% 7.81/5.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s232) | (~node4(s232)))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15582,plain,
% 7.81/5.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s232) | (~node4(s232))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15581, 15580])).
% 7.81/5.65 tff(15583,plain,
% 7.81/5.65 (~node4(s232)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15582, 16, 15539])).
% 7.81/5.65 tff(15584,plain,
% 7.81/5.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s232) | node4(s232) | (~until5(s232)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s232) | node4(s232) | (~until5(s232)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15585,plain,
% 7.81/5.65 ((node4(s232) | (~until5(s232)) | xuntil6(s232)) <=> (xuntil6(s232) | node4(s232) | (~until5(s232)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15586,plain,
% 7.81/5.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s232) | (~until5(s232)) | xuntil6(s232))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s232) | node4(s232) | (~until5(s232))))),
% 7.81/5.65 inference(monotonicity,[status(thm)],[15585])).
% 7.81/5.65 tff(15587,plain,
% 7.81/5.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s232) | (~until5(s232)) | xuntil6(s232))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s232) | node4(s232) | (~until5(s232)))),
% 7.81/5.65 inference(transitivity,[status(thm)],[15586, 15584])).
% 7.81/5.65 tff(15588,plain,
% 7.81/5.65 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s232) | (~until5(s232)) | xuntil6(s232))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15589,plain,
% 7.81/5.65 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s232) | node4(s232) | (~until5(s232))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15588, 15587])).
% 7.81/5.65 tff(15590,plain,
% 7.81/5.65 (node4(s232) | (~until5(s232))),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15589, 352, 15510])).
% 7.81/5.65 tff(15591,plain,
% 7.81/5.65 (~until5(s232)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15590, 15583])).
% 7.81/5.65 tff(15592,plain,
% 7.81/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15593,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15594,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15593, 15592])).
% 7.81/5.65 tff(15595,plain,
% 7.81/5.65 ((~xuntil6(s231)) | until5(s232)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15594, 15542, 370])).
% 7.81/5.65 tff(15596,plain,
% 7.81/5.65 (~xuntil6(s231)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15595, 15591])).
% 7.81/5.65 tff(15597,assumption,(node4(s231)), introduced(assumption)).
% 7.81/5.65 tff(15598,plain,
% 7.81/5.65 (((~![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)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15599,plain,
% 7.81/5.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s231) | (~node4(s231)))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15600,plain,
% 7.81/5.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s231) | (~node4(s231))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15599, 15598])).
% 7.81/5.65 tff(15601,plain,
% 7.81/5.65 (m_main_v_request(s231)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15600, 28, 15597])).
% 7.81/5.65 tff(15602,plain,
% 7.81/5.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s231) | (~node4(s231)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s231) | (~node4(s231)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15603,plain,
% 7.81/5.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s231) | (~node4(s231)))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15604,plain,
% 7.81/5.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s231) | (~node4(s231))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15603, 15602])).
% 7.81/5.65 tff(15605,plain,
% 7.81/5.65 (always3(s231)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15604, 16, 15597])).
% 7.81/5.65 tff(15606,plain,
% 7.81/5.65 (always3(s232)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15550, 15605])).
% 7.81/5.65 tff(15607,plain,
% 7.81/5.65 (((~![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)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15608,plain,
% 7.81/5.65 (((~m_main_v_state(s232, c_busy)) | (~always3(s232))) <=> ((~always3(s232)) | (~m_main_v_state(s232, c_busy)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15609,plain,
% 7.81/5.65 (((~![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))))),
% 7.81/5.65 inference(monotonicity,[status(thm)],[15608])).
% 7.81/5.65 tff(15610,plain,
% 7.81/5.65 (((~![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)))),
% 7.81/5.65 inference(transitivity,[status(thm)],[15609, 15607])).
% 7.81/5.65 tff(15611,plain,
% 7.81/5.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s232, c_busy)) | (~always3(s232)))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15612,plain,
% 7.81/5.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s232)) | (~m_main_v_state(s232, c_busy))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15611, 15610])).
% 7.81/5.65 tff(15613,plain,
% 7.81/5.65 (~m_main_v_state(s232, c_busy)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15612, 72, 15606])).
% 7.81/5.65 tff(15614,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15615,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s231, s232)) | node2(s231, s232))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15616,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s231, s232)) | node2(s231, s232)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15615, 15614])).
% 7.81/5.65 tff(15617,plain,
% 7.81/5.65 (node2(s231, s232)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15616, 7, 15546])).
% 7.81/5.65 tff(15618,plain,
% 7.81/5.65 (((~![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(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)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15619,plain,
% 7.81/5.65 ((~![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(s231, c_ready)) | (~node2(s231, s232)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231)))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15620,plain,
% 7.81/5.65 ((~![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(s231, c_ready)) | (~node2(s231, s232)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15619, 15618])).
% 7.81/5.65 tff(15621,plain,
% 7.81/5.65 ((~m_main_v_state(s231, c_ready)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231))),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15620, 60, 15617])).
% 7.81/5.65 tff(15622,plain,
% 7.81/5.65 (~m_main_v_state(s231, c_ready)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15621, 15613, 15601])).
% 7.81/5.65 tff(15623,plain,
% 7.81/5.65 (((~![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)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15624,plain,
% 7.81/5.65 (((~m_main_v_state(s231, c_busy)) | (~always3(s231))) <=> ((~always3(s231)) | (~m_main_v_state(s231, c_busy)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15625,plain,
% 7.81/5.65 (((~![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))))),
% 7.81/5.65 inference(monotonicity,[status(thm)],[15624])).
% 7.81/5.65 tff(15626,plain,
% 7.81/5.65 (((~![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)))),
% 7.81/5.65 inference(transitivity,[status(thm)],[15625, 15623])).
% 7.81/5.65 tff(15627,plain,
% 7.81/5.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s231, c_busy)) | (~always3(s231)))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15628,plain,
% 7.81/5.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s231)) | (~m_main_v_state(s231, c_busy))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15627, 15626])).
% 7.81/5.65 tff(15629,plain,
% 7.81/5.65 (~m_main_v_state(s231, c_busy)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15628, 72, 15605])).
% 7.81/5.65 tff(15630,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15631,plain,
% 7.81/5.65 ((~![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))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15632,plain,
% 7.81/5.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s231, c_busy) | m_main_v_state(s231, c_ready)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15631, 15630])).
% 7.81/5.65 tff(15633,plain,
% 7.81/5.65 ($false),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15632, 89, 15629, 15622])).
% 7.81/5.65 tff(15634,plain,(~node4(s231)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.65 tff(15635,plain,
% 7.81/5.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s231) | node4(s231) | (~until5(s231)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s231) | node4(s231) | (~until5(s231)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15636,plain,
% 7.81/5.65 ((node4(s231) | (~until5(s231)) | xuntil6(s231)) <=> (xuntil6(s231) | node4(s231) | (~until5(s231)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15637,plain,
% 7.81/5.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s231) | (~until5(s231)) | xuntil6(s231))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s231) | node4(s231) | (~until5(s231))))),
% 7.81/5.65 inference(monotonicity,[status(thm)],[15636])).
% 7.81/5.65 tff(15638,plain,
% 7.81/5.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s231) | (~until5(s231)) | xuntil6(s231))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s231) | node4(s231) | (~until5(s231)))),
% 7.81/5.65 inference(transitivity,[status(thm)],[15637, 15635])).
% 7.81/5.65 tff(15639,plain,
% 7.81/5.65 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s231) | (~until5(s231)) | xuntil6(s231))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15640,plain,
% 7.81/5.65 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s231) | node4(s231) | (~until5(s231))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15639, 15638])).
% 7.81/5.65 tff(15641,plain,
% 7.81/5.65 (xuntil6(s231) | (~until5(s231))),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15640, 352, 15634])).
% 7.81/5.65 tff(15642,plain,
% 7.81/5.65 (~until5(s231)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15641, 15596])).
% 7.81/5.65 tff(15643,plain,
% 7.81/5.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15644,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15645,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15644, 15643])).
% 7.81/5.65 tff(15646,plain,
% 7.81/5.65 ((~xuntil6(s230)) | until5(s231)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15645, 15554, 370])).
% 7.81/5.65 tff(15647,plain,
% 7.81/5.65 (~xuntil6(s230)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15646, 15642])).
% 7.81/5.65 tff(15648,assumption,(node4(s230)), introduced(assumption)).
% 7.81/5.65 tff(15649,plain,
% 7.81/5.65 (((~![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)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15650,plain,
% 7.81/5.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s230) | (~node4(s230)))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15651,plain,
% 7.81/5.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s230) | (~node4(s230))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15650, 15649])).
% 7.81/5.65 tff(15652,plain,
% 7.81/5.65 (m_main_v_request(s230)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15651, 28, 15648])).
% 7.81/5.65 tff(15653,plain,
% 7.81/5.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s230) | (~node4(s230)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s230) | (~node4(s230)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15654,plain,
% 7.81/5.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s230) | (~node4(s230)))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15655,plain,
% 7.81/5.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s230) | (~node4(s230))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15654, 15653])).
% 7.81/5.65 tff(15656,plain,
% 7.81/5.65 (always3(s230)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15655, 16, 15648])).
% 7.81/5.65 tff(15657,plain,
% 7.81/5.65 (always3(s231)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15562, 15656])).
% 7.81/5.65 tff(15658,plain,
% 7.81/5.65 (~m_main_v_state(s231, c_busy)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15628, 72, 15657])).
% 7.81/5.65 tff(15659,plain,
% 7.81/5.65 (((~![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))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15660,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s230, s231)) | node2(s230, s231))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15661,plain,
% 7.81/5.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s230, s231)) | node2(s230, s231)),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15660, 15659])).
% 7.81/5.65 tff(15662,plain,
% 7.81/5.65 (node2(s230, s231)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15661, 7, 15558])).
% 7.81/5.65 tff(15663,plain,
% 7.81/5.65 (((~![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(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)))),
% 7.81/5.65 inference(rewrite,[status(thm)],[])).
% 7.81/5.65 tff(15664,plain,
% 7.81/5.65 ((~![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(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230)))),
% 7.81/5.65 inference(quant_inst,[status(thm)],[])).
% 7.81/5.65 tff(15665,plain,
% 7.81/5.65 ((~![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(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230))),
% 7.81/5.65 inference(modus_ponens,[status(thm)],[15664, 15663])).
% 7.81/5.65 tff(15666,plain,
% 7.81/5.65 ((~m_main_v_state(s230, c_ready)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230))),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15665, 60, 15662])).
% 7.81/5.65 tff(15667,plain,
% 7.81/5.65 (~m_main_v_state(s230, c_ready)),
% 7.81/5.65 inference(unit_resolution,[status(thm)],[15666, 15658, 15652])).
% 7.81/5.66 tff(15668,plain,
% 7.81/5.66 (((~![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)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15669,plain,
% 7.81/5.66 (((~m_main_v_state(s230, c_busy)) | (~always3(s230))) <=> ((~always3(s230)) | (~m_main_v_state(s230, c_busy)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15670,plain,
% 7.81/5.66 (((~![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))))),
% 7.81/5.66 inference(monotonicity,[status(thm)],[15669])).
% 7.81/5.66 tff(15671,plain,
% 7.81/5.66 (((~![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)))),
% 7.81/5.66 inference(transitivity,[status(thm)],[15670, 15668])).
% 7.81/5.66 tff(15672,plain,
% 7.81/5.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s230, c_busy)) | (~always3(s230)))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15673,plain,
% 7.81/5.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s230)) | (~m_main_v_state(s230, c_busy))),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15672, 15671])).
% 7.81/5.66 tff(15674,plain,
% 7.81/5.66 (~m_main_v_state(s230, c_busy)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15673, 72, 15656])).
% 7.81/5.66 tff(15675,plain,
% 7.81/5.66 (((~![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))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15676,plain,
% 7.81/5.66 ((~![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))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15677,plain,
% 7.81/5.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s230, c_busy) | m_main_v_state(s230, c_ready)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15676, 15675])).
% 7.81/5.66 tff(15678,plain,
% 7.81/5.66 ($false),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15677, 89, 15674, 15667])).
% 7.81/5.66 tff(15679,plain,(~node4(s230)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.66 tff(15680,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s230) | node4(s230) | (~until5(s230)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s230) | node4(s230) | (~until5(s230)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15681,plain,
% 7.81/5.66 ((node4(s230) | (~until5(s230)) | xuntil6(s230)) <=> (xuntil6(s230) | node4(s230) | (~until5(s230)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15682,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s230) | (~until5(s230)) | xuntil6(s230))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s230) | node4(s230) | (~until5(s230))))),
% 7.81/5.66 inference(monotonicity,[status(thm)],[15681])).
% 7.81/5.66 tff(15683,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s230) | (~until5(s230)) | xuntil6(s230))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s230) | node4(s230) | (~until5(s230)))),
% 7.81/5.66 inference(transitivity,[status(thm)],[15682, 15680])).
% 7.81/5.66 tff(15684,plain,
% 7.81/5.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s230) | (~until5(s230)) | xuntil6(s230))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15685,plain,
% 7.81/5.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s230) | node4(s230) | (~until5(s230))),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15684, 15683])).
% 7.81/5.66 tff(15686,plain,
% 7.81/5.66 (xuntil6(s230) | (~until5(s230))),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15685, 352, 15679])).
% 7.81/5.66 tff(15687,plain,
% 7.81/5.66 (~until5(s230)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15686, 15647])).
% 7.81/5.66 tff(15688,plain,
% 7.81/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15689,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15690,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 7.81/5.66 tff(15691,plain,
% 7.81/5.66 ((~xuntil6(s229)) | until5(s230)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15690, 15566, 370])).
% 7.81/5.66 tff(15692,plain,
% 7.81/5.66 (~xuntil6(s229)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15691, 15687])).
% 7.81/5.66 tff(15693,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s229) | node4(s229) | (~until5(s229)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s229) | node4(s229) | (~until5(s229)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15694,plain,
% 7.81/5.66 ((node4(s229) | (~until5(s229)) | xuntil6(s229)) <=> (xuntil6(s229) | node4(s229) | (~until5(s229)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15695,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s229) | (~until5(s229)) | xuntil6(s229))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s229) | node4(s229) | (~until5(s229))))),
% 7.81/5.66 inference(monotonicity,[status(thm)],[15694])).
% 7.81/5.66 tff(15696,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s229) | (~until5(s229)) | xuntil6(s229))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s229) | node4(s229) | (~until5(s229)))),
% 7.81/5.66 inference(transitivity,[status(thm)],[15695, 15693])).
% 7.81/5.66 tff(15697,plain,
% 7.81/5.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s229) | (~until5(s229)) | xuntil6(s229))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15698,plain,
% 7.81/5.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s229) | node4(s229) | (~until5(s229))),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15697, 15696])).
% 7.81/5.66 tff(15699,plain,
% 7.81/5.66 (~until5(s229)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15698, 352, 15692, 15579])).
% 7.81/5.66 tff(15700,plain,
% 7.81/5.66 (succ(s228, s229) <=> succ(s228, s229)),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15701,axiom,(succ(s228, s229)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound229')).
% 7.81/5.66 tff(15702,plain,
% 7.81/5.66 (succ(s228, s229)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15701, 15700])).
% 7.81/5.66 tff(15703,plain,
% 7.81/5.66 (((~![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))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15704,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s228, s229)) | trans(s228, s229))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15705,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s228, s229)) | trans(s228, s229)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15704, 15703])).
% 7.81/5.66 tff(15706,plain,
% 7.81/5.66 (trans(s228, s229)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15705, 15702, 39])).
% 7.81/5.66 tff(15707,plain,
% 7.81/5.66 (((~![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))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15708,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s228, s229)) | (~always3(s228)) | always3(s229))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15709,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s228, s229)) | (~always3(s228)) | always3(s229)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15708, 15707])).
% 7.81/5.66 tff(15710,plain,
% 7.81/5.66 ((~always3(s228)) | always3(s229)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15709, 112, 15706])).
% 7.81/5.66 tff(15711,plain,
% 7.81/5.66 (~always3(s228)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15710, 15575])).
% 7.81/5.66 tff(15712,plain,
% 7.81/5.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s228) | (~node4(s228)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s228) | (~node4(s228)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15713,plain,
% 7.81/5.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s228) | (~node4(s228)))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15714,plain,
% 7.81/5.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s228) | (~node4(s228))),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15713, 15712])).
% 7.81/5.66 tff(15715,plain,
% 7.81/5.66 (~node4(s228)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15714, 16, 15711])).
% 7.81/5.66 tff(15716,plain,
% 7.81/5.66 (~always3(s227)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15522, 15711])).
% 7.81/5.66 tff(15717,plain,
% 7.81/5.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s227) | (~node4(s227)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s227) | (~node4(s227)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15718,plain,
% 7.81/5.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s227) | (~node4(s227)))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15719,plain,
% 7.81/5.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s227) | (~node4(s227))),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15718, 15717])).
% 7.81/5.66 tff(15720,plain,
% 7.81/5.66 (~node4(s227)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15719, 16, 15716])).
% 7.81/5.66 tff(15721,assumption,(until5(s227)), introduced(assumption)).
% 7.81/5.66 tff(15722,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s227) | node4(s227) | (~until5(s227)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s227) | node4(s227) | (~until5(s227)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15723,plain,
% 7.81/5.66 ((node4(s227) | (~until5(s227)) | xuntil6(s227)) <=> (xuntil6(s227) | node4(s227) | (~until5(s227)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15724,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s227) | (~until5(s227)) | xuntil6(s227))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s227) | node4(s227) | (~until5(s227))))),
% 7.81/5.66 inference(monotonicity,[status(thm)],[15723])).
% 7.81/5.66 tff(15725,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s227) | (~until5(s227)) | xuntil6(s227))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s227) | node4(s227) | (~until5(s227)))),
% 7.81/5.66 inference(transitivity,[status(thm)],[15724, 15722])).
% 7.81/5.66 tff(15726,plain,
% 7.81/5.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s227) | (~until5(s227)) | xuntil6(s227))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15727,plain,
% 7.81/5.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s227) | node4(s227) | (~until5(s227))),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15726, 15725])).
% 7.81/5.66 tff(15728,plain,
% 7.81/5.66 (xuntil6(s227) | node4(s227)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15727, 352, 15721])).
% 7.81/5.66 tff(15729,plain,
% 7.81/5.66 (xuntil6(s227)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15728, 15720])).
% 7.81/5.66 tff(15730,plain,
% 7.81/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15731,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15732,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15731, 15730])).
% 7.81/5.66 tff(15733,plain,
% 7.81/5.66 ((~xuntil6(s227)) | until5(s228)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15732, 15514, 370])).
% 7.81/5.66 tff(15734,plain,
% 7.81/5.66 (until5(s228)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15733, 15729])).
% 7.81/5.66 tff(15735,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s228) | node4(s228) | (~until5(s228)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s228) | node4(s228) | (~until5(s228)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15736,plain,
% 7.81/5.66 ((node4(s228) | (~until5(s228)) | xuntil6(s228)) <=> (xuntil6(s228) | node4(s228) | (~until5(s228)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15737,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s228) | (~until5(s228)) | xuntil6(s228))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s228) | node4(s228) | (~until5(s228))))),
% 7.81/5.66 inference(monotonicity,[status(thm)],[15736])).
% 7.81/5.66 tff(15738,plain,
% 7.81/5.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s228) | (~until5(s228)) | xuntil6(s228))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s228) | node4(s228) | (~until5(s228)))),
% 7.81/5.66 inference(transitivity,[status(thm)],[15737, 15735])).
% 7.81/5.66 tff(15739,plain,
% 7.81/5.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s228) | (~until5(s228)) | xuntil6(s228))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15740,plain,
% 7.81/5.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s228) | node4(s228) | (~until5(s228))),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15739, 15738])).
% 7.81/5.66 tff(15741,plain,
% 7.81/5.66 (xuntil6(s228)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15740, 352, 15734, 15715])).
% 7.81/5.66 tff(15742,plain,
% 7.81/5.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15743,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15744,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15743, 15742])).
% 7.81/5.66 tff(15745,plain,
% 7.81/5.66 ((~xuntil6(s228)) | until5(s229)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15744, 15702, 370])).
% 7.81/5.66 tff(15746,plain,
% 7.81/5.66 ($false),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15745, 15741, 15699])).
% 7.81/5.66 tff(15747,plain,(always3(s232) | (~until5(s227)) | xuntil6(s232)), inference(lemma,lemma(discharge,[]))).
% 7.81/5.66 tff(15748,plain,
% 7.81/5.66 (always3(s232)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15747, 15538, 15510])).
% 7.81/5.66 tff(15749,plain,
% 7.81/5.66 (succ(s232, s233) <=> succ(s232, s233)),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15750,axiom,(succ(s232, s233)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound233')).
% 7.81/5.66 tff(15751,plain,
% 7.81/5.66 (succ(s232, s233)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15750, 15749])).
% 7.81/5.66 tff(15752,plain,
% 7.81/5.66 (((~![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))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15753,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s232, s233)) | trans(s232, s233))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15754,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s232, s233)) | trans(s232, s233)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15753, 15752])).
% 7.81/5.66 tff(15755,plain,
% 7.81/5.66 (trans(s232, s233)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15754, 15751, 39])).
% 7.81/5.66 tff(15756,plain,
% 7.81/5.66 (((~![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))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15757,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s232, s233)) | (~always3(s232)) | always3(s233))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15758,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s232, s233)) | (~always3(s232)) | always3(s233)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 7.81/5.66 tff(15759,plain,
% 7.81/5.66 ((~always3(s232)) | always3(s233)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15758, 112, 15755])).
% 7.81/5.66 tff(15760,plain,
% 7.81/5.66 (always3(s233)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15759, 15748])).
% 7.81/5.66 tff(15761,plain,
% 7.81/5.66 (((~![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)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15762,plain,
% 7.81/5.66 (((~m_main_v_state(s233, c_busy)) | (~always3(s233))) <=> ((~always3(s233)) | (~m_main_v_state(s233, c_busy)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15763,plain,
% 7.81/5.66 (((~![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))))),
% 7.81/5.66 inference(monotonicity,[status(thm)],[15762])).
% 7.81/5.66 tff(15764,plain,
% 7.81/5.66 (((~![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)))),
% 7.81/5.66 inference(transitivity,[status(thm)],[15763, 15761])).
% 7.81/5.66 tff(15765,plain,
% 7.81/5.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s233, c_busy)) | (~always3(s233)))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15766,plain,
% 7.81/5.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s233)) | (~m_main_v_state(s233, c_busy))),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15765, 15764])).
% 7.81/5.66 tff(15767,plain,
% 7.81/5.66 (~m_main_v_state(s233, c_busy)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15766, 72, 15760])).
% 7.81/5.66 tff(15768,plain,
% 7.81/5.66 (~m_main_v_state(s232, c_busy)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15612, 72, 15748])).
% 7.81/5.66 tff(15769,plain,
% 7.81/5.66 (((~![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))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15770,plain,
% 7.81/5.66 ((~![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))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15771,plain,
% 7.81/5.66 ((~![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)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15770, 15769])).
% 7.81/5.66 tff(15772,plain,
% 7.81/5.66 (m_main_v_state(s232, c_ready)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15771, 89, 15768])).
% 7.81/5.66 tff(15773,plain,
% 7.81/5.66 (~node4(s228)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15714, 16, 15511])).
% 7.81/5.66 tff(15774,assumption,(node4(s227)), introduced(assumption)).
% 7.81/5.66 tff(15775,plain,
% 7.81/5.66 (((~![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)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15776,plain,
% 7.81/5.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s227) | (~node4(s227)))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15777,plain,
% 7.81/5.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s227) | (~node4(s227))),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15776, 15775])).
% 7.81/5.66 tff(15778,plain,
% 7.81/5.66 (m_main_v_request(s227)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15777, 28, 15774])).
% 7.81/5.66 tff(15779,plain,
% 7.81/5.66 (always3(s227)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15719, 16, 15774])).
% 7.81/5.66 tff(15780,plain,
% 7.81/5.66 (always3(s228)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15522, 15779])).
% 7.81/5.66 tff(15781,plain,
% 7.81/5.66 (((~![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)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15782,plain,
% 7.81/5.66 (((~m_main_v_state(s228, c_busy)) | (~always3(s228))) <=> ((~always3(s228)) | (~m_main_v_state(s228, c_busy)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15783,plain,
% 7.81/5.66 (((~![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))))),
% 7.81/5.66 inference(monotonicity,[status(thm)],[15782])).
% 7.81/5.66 tff(15784,plain,
% 7.81/5.66 (((~![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)))),
% 7.81/5.66 inference(transitivity,[status(thm)],[15783, 15781])).
% 7.81/5.66 tff(15785,plain,
% 7.81/5.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s228, c_busy)) | (~always3(s228)))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15786,plain,
% 7.81/5.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s228)) | (~m_main_v_state(s228, c_busy))),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15785, 15784])).
% 7.81/5.66 tff(15787,plain,
% 7.81/5.66 (~m_main_v_state(s228, c_busy)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15786, 72, 15780])).
% 7.81/5.66 tff(15788,plain,
% 7.81/5.66 (((~![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))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15789,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s227, s228)) | node2(s227, s228))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15790,plain,
% 7.81/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s227, s228)) | node2(s227, s228)),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15789, 15788])).
% 7.81/5.66 tff(15791,plain,
% 7.81/5.66 (node2(s227, s228)),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15790, 7, 15518])).
% 7.81/5.66 tff(15792,plain,
% 7.81/5.66 (((~![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(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)))),
% 7.81/5.66 inference(rewrite,[status(thm)],[])).
% 7.81/5.66 tff(15793,plain,
% 7.81/5.66 ((~![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(s227, c_ready)) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227)))),
% 7.81/5.66 inference(quant_inst,[status(thm)],[])).
% 7.81/5.66 tff(15794,plain,
% 7.81/5.66 ((~![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(s227, c_ready)) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227))),
% 7.81/5.66 inference(modus_ponens,[status(thm)],[15793, 15792])).
% 7.81/5.66 tff(15795,plain,
% 7.81/5.66 ((~m_main_v_state(s227, c_ready)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227))),
% 7.81/5.66 inference(unit_resolution,[status(thm)],[15794, 60, 15791])).
% 7.89/5.66 tff(15796,plain,
% 7.89/5.66 (~m_main_v_state(s227, c_ready)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15795, 15787, 15778])).
% 7.89/5.66 tff(15797,plain,
% 7.89/5.66 (~m_main_v_state(s227, c_busy)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15480, 72, 15779])).
% 7.89/5.66 tff(15798,plain,
% 7.89/5.66 (((~![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))),
% 7.89/5.66 inference(rewrite,[status(thm)],[])).
% 7.89/5.66 tff(15799,plain,
% 7.89/5.66 ((~![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))),
% 7.89/5.66 inference(quant_inst,[status(thm)],[])).
% 7.89/5.66 tff(15800,plain,
% 7.89/5.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s227, c_busy) | m_main_v_state(s227, c_ready)),
% 7.89/5.66 inference(modus_ponens,[status(thm)],[15799, 15798])).
% 7.89/5.66 tff(15801,plain,
% 7.89/5.66 ($false),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15800, 89, 15797, 15796])).
% 7.89/5.66 tff(15802,plain,(~node4(s227)), inference(lemma,lemma(discharge,[]))).
% 7.89/5.66 tff(15803,plain,
% 7.89/5.66 (xuntil6(s227) | (~until5(s227))),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15727, 352, 15802])).
% 7.89/5.66 tff(15804,plain,
% 7.89/5.66 (xuntil6(s227)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15803, 15538])).
% 7.89/5.66 tff(15805,plain,
% 7.89/5.66 (until5(s228)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15733, 15804])).
% 7.89/5.66 tff(15806,plain,
% 7.89/5.66 (xuntil6(s228) | node4(s228)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15740, 352, 15805])).
% 7.89/5.66 tff(15807,plain,
% 7.89/5.66 (xuntil6(s228)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15806, 15773])).
% 7.89/5.66 tff(15808,plain,
% 7.89/5.66 (until5(s229)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15745, 15807])).
% 7.89/5.66 tff(15809,assumption,(node4(s229)), introduced(assumption)).
% 7.89/5.66 tff(15810,plain,
% 7.89/5.66 (((~![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)))),
% 7.89/5.66 inference(rewrite,[status(thm)],[])).
% 7.89/5.66 tff(15811,plain,
% 7.89/5.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s229) | (~node4(s229)))),
% 7.89/5.66 inference(quant_inst,[status(thm)],[])).
% 7.89/5.66 tff(15812,plain,
% 7.89/5.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s229) | (~node4(s229))),
% 7.89/5.66 inference(modus_ponens,[status(thm)],[15811, 15810])).
% 7.89/5.66 tff(15813,plain,
% 7.89/5.66 (m_main_v_request(s229)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15812, 28, 15809])).
% 7.89/5.66 tff(15814,plain,
% 7.89/5.66 (always3(s229)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15578, 16, 15809])).
% 7.89/5.66 tff(15815,plain,
% 7.89/5.66 (always3(s230)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15574, 15814])).
% 7.89/5.66 tff(15816,plain,
% 7.89/5.66 (~m_main_v_state(s230, c_busy)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15673, 72, 15815])).
% 7.89/5.66 tff(15817,plain,
% 7.89/5.66 (((~![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))),
% 7.89/5.66 inference(rewrite,[status(thm)],[])).
% 7.89/5.66 tff(15818,plain,
% 7.89/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s229, s230)) | node2(s229, s230))),
% 7.89/5.66 inference(quant_inst,[status(thm)],[])).
% 7.89/5.66 tff(15819,plain,
% 7.89/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s229, s230)) | node2(s229, s230)),
% 7.89/5.66 inference(modus_ponens,[status(thm)],[15818, 15817])).
% 7.89/5.66 tff(15820,plain,
% 7.89/5.66 (node2(s229, s230)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15819, 7, 15570])).
% 7.89/5.66 tff(15821,plain,
% 7.89/5.66 (((~![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(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)))),
% 7.89/5.66 inference(rewrite,[status(thm)],[])).
% 7.89/5.66 tff(15822,plain,
% 7.89/5.66 ((~![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(s229, c_ready)) | (~node2(s229, s230)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229)))),
% 7.89/5.66 inference(quant_inst,[status(thm)],[])).
% 7.89/5.66 tff(15823,plain,
% 7.89/5.66 ((~![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(s229, c_ready)) | (~node2(s229, s230)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229))),
% 7.89/5.66 inference(modus_ponens,[status(thm)],[15822, 15821])).
% 7.89/5.66 tff(15824,plain,
% 7.89/5.66 ((~m_main_v_state(s229, c_ready)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229))),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15823, 60, 15820])).
% 7.89/5.66 tff(15825,plain,
% 7.89/5.66 (~m_main_v_state(s229, c_ready)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15824, 15816, 15813])).
% 7.89/5.66 tff(15826,plain,
% 7.89/5.66 (((~![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)))),
% 7.89/5.66 inference(rewrite,[status(thm)],[])).
% 7.89/5.66 tff(15827,plain,
% 7.89/5.66 (((~m_main_v_state(s229, c_busy)) | (~always3(s229))) <=> ((~always3(s229)) | (~m_main_v_state(s229, c_busy)))),
% 7.89/5.66 inference(rewrite,[status(thm)],[])).
% 7.89/5.66 tff(15828,plain,
% 7.89/5.66 (((~![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))))),
% 7.89/5.66 inference(monotonicity,[status(thm)],[15827])).
% 7.89/5.66 tff(15829,plain,
% 7.89/5.66 (((~![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)))),
% 7.89/5.66 inference(transitivity,[status(thm)],[15828, 15826])).
% 7.89/5.66 tff(15830,plain,
% 7.89/5.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s229, c_busy)) | (~always3(s229)))),
% 7.89/5.66 inference(quant_inst,[status(thm)],[])).
% 7.89/5.66 tff(15831,plain,
% 7.89/5.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s229)) | (~m_main_v_state(s229, c_busy))),
% 7.89/5.66 inference(modus_ponens,[status(thm)],[15830, 15829])).
% 7.89/5.66 tff(15832,plain,
% 7.89/5.66 (~m_main_v_state(s229, c_busy)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15831, 72, 15814])).
% 7.89/5.66 tff(15833,plain,
% 7.89/5.66 (((~![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))),
% 7.89/5.66 inference(rewrite,[status(thm)],[])).
% 7.89/5.66 tff(15834,plain,
% 7.89/5.66 ((~![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))),
% 7.89/5.66 inference(quant_inst,[status(thm)],[])).
% 7.89/5.66 tff(15835,plain,
% 7.89/5.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s229, c_busy) | m_main_v_state(s229, c_ready)),
% 7.89/5.66 inference(modus_ponens,[status(thm)],[15834, 15833])).
% 7.89/5.66 tff(15836,plain,
% 7.89/5.66 ($false),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15835, 89, 15832, 15825])).
% 7.89/5.66 tff(15837,plain,(~node4(s229)), inference(lemma,lemma(discharge,[]))).
% 7.89/5.66 tff(15838,plain,
% 7.89/5.66 (xuntil6(s229) | (~until5(s229))),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15698, 352, 15837])).
% 7.89/5.66 tff(15839,plain,
% 7.89/5.66 (xuntil6(s229)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15838, 15808])).
% 7.89/5.66 tff(15840,plain,
% 7.89/5.66 (until5(s230)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15691, 15839])).
% 7.89/5.66 tff(15841,plain,
% 7.89/5.66 (xuntil6(s230)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15686, 15840])).
% 7.89/5.66 tff(15842,plain,
% 7.89/5.66 (until5(s231)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15646, 15841])).
% 7.89/5.66 tff(15843,plain,
% 7.89/5.66 (xuntil6(s231)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15641, 15842])).
% 7.89/5.66 tff(15844,plain,
% 7.89/5.66 (until5(s232)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15595, 15843])).
% 7.89/5.66 tff(15845,plain,
% 7.89/5.66 (node4(s232)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15590, 15844])).
% 7.89/5.66 tff(15846,plain,
% 7.89/5.66 (((~![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)))),
% 7.89/5.66 inference(rewrite,[status(thm)],[])).
% 7.89/5.66 tff(15847,plain,
% 7.89/5.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s232) | (~node4(s232)))),
% 7.89/5.66 inference(quant_inst,[status(thm)],[])).
% 7.89/5.66 tff(15848,plain,
% 7.89/5.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s232) | (~node4(s232))),
% 7.89/5.66 inference(modus_ponens,[status(thm)],[15847, 15846])).
% 7.89/5.66 tff(15849,plain,
% 7.89/5.66 (m_main_v_request(s232)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15848, 28, 15845])).
% 7.89/5.66 tff(15850,plain,
% 7.89/5.66 (((~![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))),
% 7.89/5.66 inference(rewrite,[status(thm)],[])).
% 7.89/5.66 tff(15851,plain,
% 7.89/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s232, s233)) | node2(s232, s233))),
% 7.89/5.66 inference(quant_inst,[status(thm)],[])).
% 7.89/5.66 tff(15852,plain,
% 7.89/5.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s232, s233)) | node2(s232, s233)),
% 7.89/5.66 inference(modus_ponens,[status(thm)],[15851, 15850])).
% 7.89/5.66 tff(15853,plain,
% 7.89/5.66 (node2(s232, s233)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15852, 7, 15755])).
% 7.89/5.66 tff(15854,plain,
% 7.89/5.66 (((~![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(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)))),
% 7.89/5.66 inference(rewrite,[status(thm)],[])).
% 7.89/5.66 tff(15855,plain,
% 7.89/5.66 ((~![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(s232, c_ready)) | (~node2(s232, s233)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232)))),
% 7.89/5.66 inference(quant_inst,[status(thm)],[])).
% 7.89/5.66 tff(15856,plain,
% 7.89/5.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s232, c_ready)) | (~node2(s232, s233)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232))),
% 7.89/5.66 inference(modus_ponens,[status(thm)],[15855, 15854])).
% 7.89/5.66 tff(15857,plain,
% 7.89/5.66 ((~m_main_v_state(s232, c_ready)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232))),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15856, 60, 15853])).
% 7.89/5.66 tff(15858,plain,
% 7.89/5.66 ($false),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15857, 15849, 15772, 15767])).
% 7.89/5.66 tff(15859,plain,(always3(s228) | xuntil6(s232)), inference(lemma,lemma(discharge,[]))).
% 7.89/5.66 tff(15860,plain,
% 7.89/5.66 (always3(s228)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15859, 15510])).
% 7.89/5.66 tff(15861,plain,
% 7.89/5.66 (always3(s229)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15710, 15860])).
% 7.89/5.66 tff(15862,plain,
% 7.89/5.66 (~m_main_v_state(s229, c_busy)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15831, 72, 15861])).
% 7.89/5.66 tff(15863,plain,
% 7.89/5.66 (~m_main_v_state(s228, c_busy)),
% 7.89/5.66 inference(unit_resolution,[status(thm)],[15786, 72, 15860])).
% 7.89/5.66 tff(15864,plain,
% 7.89/5.66 (((~![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))),
% 7.89/5.66 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15865,plain,
% 7.89/5.67 ((~![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))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15866,plain,
% 7.89/5.67 ((~![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)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15865, 15864])).
% 7.89/5.67 tff(15867,plain,
% 7.89/5.67 (m_main_v_state(s228, c_ready)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15866, 89, 15863])).
% 7.89/5.67 tff(15868,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15869,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s228, s229)) | node2(s228, s229))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15870,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s228, s229)) | node2(s228, s229)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15869, 15868])).
% 7.89/5.67 tff(15871,plain,
% 7.89/5.67 (node2(s228, s229)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15870, 7, 15706])).
% 7.89/5.67 tff(15872,plain,
% 7.89/5.67 (((~![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(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)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15873,plain,
% 7.89/5.67 ((~![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(s228, c_ready)) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15874,plain,
% 7.89/5.67 ((~![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(s228, c_ready)) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15873, 15872])).
% 7.89/5.67 tff(15875,plain,
% 7.89/5.67 ((~m_main_v_state(s228, c_ready)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228))),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15874, 60, 15871])).
% 7.89/5.67 tff(15876,plain,
% 7.89/5.67 (~m_main_v_request(s228)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15875, 15867, 15862])).
% 7.89/5.67 tff(15877,plain,
% 7.89/5.67 (((~![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)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15878,plain,
% 7.89/5.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s228) | (~node4(s228)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15879,plain,
% 7.89/5.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s228) | (~node4(s228))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15878, 15877])).
% 7.89/5.67 tff(15880,plain,
% 7.89/5.67 (~node4(s228)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15879, 28, 15876])).
% 7.89/5.67 tff(15881,plain,
% 7.89/5.67 (xuntil6(s227)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15803, 15721])).
% 7.89/5.67 tff(15882,plain,
% 7.89/5.67 (until5(s228)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15733, 15881])).
% 7.89/5.67 tff(15883,plain,
% 7.89/5.67 (xuntil6(s228) | node4(s228)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15740, 352, 15882])).
% 7.89/5.67 tff(15884,plain,
% 7.89/5.67 (xuntil6(s228)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15883, 15880])).
% 7.89/5.67 tff(15885,plain,
% 7.89/5.67 (until5(s229)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15745, 15884])).
% 7.89/5.67 tff(15886,plain,
% 7.89/5.67 (xuntil6(s229)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15838, 15885])).
% 7.89/5.67 tff(15887,plain,
% 7.89/5.67 (until5(s230)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15691, 15886])).
% 7.89/5.67 tff(15888,plain,
% 7.89/5.67 (always3(s232)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15747, 15510, 15721])).
% 7.89/5.67 tff(15889,plain,
% 7.89/5.67 (always3(s233)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15759, 15888])).
% 7.89/5.67 tff(15890,plain,
% 7.89/5.67 (~m_main_v_state(s233, c_busy)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15766, 72, 15889])).
% 7.89/5.67 tff(15891,plain,
% 7.89/5.67 (~m_main_v_state(s232, c_busy)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15612, 72, 15888])).
% 7.89/5.67 tff(15892,plain,
% 7.89/5.67 (m_main_v_state(s232, c_ready)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15771, 89, 15891])).
% 7.89/5.67 tff(15893,plain,
% 7.89/5.67 (~m_main_v_request(s232)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15857, 15892, 15890])).
% 7.89/5.67 tff(15894,plain,
% 7.89/5.67 (~node4(s232)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15848, 28, 15893])).
% 7.89/5.67 tff(15895,plain,
% 7.89/5.67 (~until5(s232)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15590, 15894])).
% 7.89/5.67 tff(15896,plain,
% 7.89/5.67 (~xuntil6(s231)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15595, 15895])).
% 7.89/5.67 tff(15897,plain,
% 7.89/5.67 (~until5(s231)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15641, 15896])).
% 7.89/5.67 tff(15898,plain,
% 7.89/5.67 (~xuntil6(s230)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15646, 15897])).
% 7.89/5.67 tff(15899,plain,
% 7.89/5.67 ($false),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15686, 15898, 15887])).
% 7.89/5.67 tff(15900,plain,(xuntil6(s232) | (~until5(s227))), inference(lemma,lemma(discharge,[]))).
% 7.89/5.67 tff(15901,plain,
% 7.89/5.67 (xuntil6(s232)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15900, 15509])).
% 7.89/5.67 tff(15902,plain,
% 7.89/5.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15903,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15904,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15903, 15902])).
% 7.89/5.67 tff(15905,plain,
% 7.89/5.67 ((~xuntil6(s232)) | until5(s233)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15904, 15751, 370])).
% 7.89/5.67 tff(15906,plain,
% 7.89/5.67 (until5(s233)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15905, 15901])).
% 7.89/5.67 tff(15907,assumption,(node4(s233)), introduced(assumption)).
% 7.89/5.67 tff(15908,plain,
% 7.89/5.67 (((~![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)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15909,plain,
% 7.89/5.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s233) | (~node4(s233)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15910,plain,
% 7.89/5.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s233) | (~node4(s233))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15909, 15908])).
% 7.89/5.67 tff(15911,plain,
% 7.89/5.67 (m_main_v_request(s233)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15910, 28, 15907])).
% 7.89/5.67 tff(15912,plain,
% 7.89/5.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s233) | (~node4(s233)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s233) | (~node4(s233)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15913,plain,
% 7.89/5.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s233) | (~node4(s233)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15914,plain,
% 7.89/5.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s233) | (~node4(s233))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15913, 15912])).
% 7.89/5.67 tff(15915,plain,
% 7.89/5.67 (always3(s233)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15914, 16, 15907])).
% 7.89/5.67 tff(15916,plain,
% 7.89/5.67 (succ(s233, s234) <=> succ(s233, s234)),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15917,axiom,(succ(s233, s234)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound234')).
% 7.89/5.67 tff(15918,plain,
% 7.89/5.67 (succ(s233, s234)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15917, 15916])).
% 7.89/5.67 tff(15919,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15920,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s233, s234)) | trans(s233, s234))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15921,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s233, s234)) | trans(s233, s234)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15920, 15919])).
% 7.89/5.67 tff(15922,plain,
% 7.89/5.67 (trans(s233, s234)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15921, 15918, 39])).
% 7.89/5.67 tff(15923,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15924,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s233, s234)) | (~always3(s233)) | always3(s234))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15925,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s233, s234)) | (~always3(s233)) | always3(s234)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15924, 15923])).
% 7.89/5.67 tff(15926,plain,
% 7.89/5.67 ((~always3(s233)) | always3(s234)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15925, 112, 15922])).
% 7.89/5.67 tff(15927,plain,
% 7.89/5.67 (always3(s234)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15926, 15915])).
% 7.89/5.67 tff(15928,plain,
% 7.89/5.67 (((~![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)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15929,plain,
% 7.89/5.67 (((~m_main_v_state(s234, c_busy)) | (~always3(s234))) <=> ((~always3(s234)) | (~m_main_v_state(s234, c_busy)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15930,plain,
% 7.89/5.67 (((~![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))))),
% 7.89/5.67 inference(monotonicity,[status(thm)],[15929])).
% 7.89/5.67 tff(15931,plain,
% 7.89/5.67 (((~![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)))),
% 7.89/5.67 inference(transitivity,[status(thm)],[15930, 15928])).
% 7.89/5.67 tff(15932,plain,
% 7.89/5.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s234, c_busy)) | (~always3(s234)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15933,plain,
% 7.89/5.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s234)) | (~m_main_v_state(s234, c_busy))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15932, 15931])).
% 7.89/5.67 tff(15934,plain,
% 7.89/5.67 (~m_main_v_state(s234, c_busy)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15933, 72, 15927])).
% 7.89/5.67 tff(15935,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15936,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s233, s234)) | node2(s233, s234))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15937,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s233, s234)) | node2(s233, s234)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15936, 15935])).
% 7.89/5.67 tff(15938,plain,
% 7.89/5.67 (node2(s233, s234)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15937, 7, 15922])).
% 7.89/5.67 tff(15939,plain,
% 7.89/5.67 (((~![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(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)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15940,plain,
% 7.89/5.67 ((~![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(s233, c_ready)) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15941,plain,
% 7.89/5.67 ((~![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(s233, c_ready)) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15940, 15939])).
% 7.89/5.67 tff(15942,plain,
% 7.89/5.67 ((~m_main_v_state(s233, c_ready)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233))),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15941, 60, 15938])).
% 7.89/5.67 tff(15943,plain,
% 7.89/5.67 (~m_main_v_state(s233, c_ready)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15942, 15934, 15911])).
% 7.89/5.67 tff(15944,plain,
% 7.89/5.67 (~m_main_v_state(s233, c_busy)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15766, 72, 15915])).
% 7.89/5.67 tff(15945,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15946,plain,
% 7.89/5.67 ((~![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))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15947,plain,
% 7.89/5.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s233, c_busy) | m_main_v_state(s233, c_ready)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15946, 15945])).
% 7.89/5.67 tff(15948,plain,
% 7.89/5.67 ($false),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15947, 89, 15944, 15943])).
% 7.89/5.67 tff(15949,plain,(~node4(s233)), inference(lemma,lemma(discharge,[]))).
% 7.89/5.67 tff(15950,plain,
% 7.89/5.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s233) | node4(s233) | (~until5(s233)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s233) | node4(s233) | (~until5(s233)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15951,plain,
% 7.89/5.67 ((node4(s233) | (~until5(s233)) | xuntil6(s233)) <=> (xuntil6(s233) | node4(s233) | (~until5(s233)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15952,plain,
% 7.89/5.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s233) | (~until5(s233)) | xuntil6(s233))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s233) | node4(s233) | (~until5(s233))))),
% 7.89/5.67 inference(monotonicity,[status(thm)],[15951])).
% 7.89/5.67 tff(15953,plain,
% 7.89/5.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s233) | (~until5(s233)) | xuntil6(s233))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s233) | node4(s233) | (~until5(s233)))),
% 7.89/5.67 inference(transitivity,[status(thm)],[15952, 15950])).
% 7.89/5.67 tff(15954,plain,
% 7.89/5.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s233) | (~until5(s233)) | xuntil6(s233))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15955,plain,
% 7.89/5.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s233) | node4(s233) | (~until5(s233))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15954, 15953])).
% 7.89/5.67 tff(15956,plain,
% 7.89/5.67 (xuntil6(s233) | (~until5(s233))),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15955, 352, 15949])).
% 7.89/5.67 tff(15957,plain,
% 7.89/5.67 (xuntil6(s233)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15956, 15906])).
% 7.89/5.67 tff(15958,plain,
% 7.89/5.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15959,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15960,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15959, 15958])).
% 7.89/5.67 tff(15961,plain,
% 7.89/5.67 ((~xuntil6(s233)) | until5(s234)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15960, 15918, 370])).
% 7.89/5.67 tff(15962,plain,
% 7.89/5.67 (until5(s234)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15961, 15957])).
% 7.89/5.67 tff(15963,assumption,(node4(s234)), introduced(assumption)).
% 7.89/5.67 tff(15964,plain,
% 7.89/5.67 (((~![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)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15965,plain,
% 7.89/5.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s234) | (~node4(s234)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15966,plain,
% 7.89/5.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s234) | (~node4(s234))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15965, 15964])).
% 7.89/5.67 tff(15967,plain,
% 7.89/5.67 (m_main_v_request(s234)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15966, 28, 15963])).
% 7.89/5.67 tff(15968,plain,
% 7.89/5.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s234) | (~node4(s234)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s234) | (~node4(s234)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15969,plain,
% 7.89/5.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s234) | (~node4(s234)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15970,plain,
% 7.89/5.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s234) | (~node4(s234))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15969, 15968])).
% 7.89/5.67 tff(15971,plain,
% 7.89/5.67 (always3(s234)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15970, 16, 15963])).
% 7.89/5.67 tff(15972,plain,
% 7.89/5.67 (succ(s234, s235) <=> succ(s234, s235)),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15973,axiom,(succ(s234, s235)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound235')).
% 7.89/5.67 tff(15974,plain,
% 7.89/5.67 (succ(s234, s235)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15973, 15972])).
% 7.89/5.67 tff(15975,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15976,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s234, s235)) | trans(s234, s235))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15977,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s234, s235)) | trans(s234, s235)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15976, 15975])).
% 7.89/5.67 tff(15978,plain,
% 7.89/5.67 (trans(s234, s235)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15977, 15974, 39])).
% 7.89/5.67 tff(15979,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15980,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s234, s235)) | (~always3(s234)) | always3(s235))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15981,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s234, s235)) | (~always3(s234)) | always3(s235)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15980, 15979])).
% 7.89/5.67 tff(15982,plain,
% 7.89/5.67 ((~always3(s234)) | always3(s235)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15981, 112, 15978])).
% 7.89/5.67 tff(15983,plain,
% 7.89/5.67 (always3(s235)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15982, 15971])).
% 7.89/5.67 tff(15984,plain,
% 7.89/5.67 (((~![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)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15985,plain,
% 7.89/5.67 (((~m_main_v_state(s235, c_busy)) | (~always3(s235))) <=> ((~always3(s235)) | (~m_main_v_state(s235, c_busy)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15986,plain,
% 7.89/5.67 (((~![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))))),
% 7.89/5.67 inference(monotonicity,[status(thm)],[15985])).
% 7.89/5.67 tff(15987,plain,
% 7.89/5.67 (((~![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)))),
% 7.89/5.67 inference(transitivity,[status(thm)],[15986, 15984])).
% 7.89/5.67 tff(15988,plain,
% 7.89/5.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s235, c_busy)) | (~always3(s235)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15989,plain,
% 7.89/5.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s235)) | (~m_main_v_state(s235, c_busy))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15988, 15987])).
% 7.89/5.67 tff(15990,plain,
% 7.89/5.67 (~m_main_v_state(s235, c_busy)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15989, 72, 15983])).
% 7.89/5.67 tff(15991,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15992,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s234, s235)) | node2(s234, s235))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15993,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s234, s235)) | node2(s234, s235)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15992, 15991])).
% 7.89/5.67 tff(15994,plain,
% 7.89/5.67 (node2(s234, s235)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15993, 7, 15978])).
% 7.89/5.67 tff(15995,plain,
% 7.89/5.67 (((~![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(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)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(15996,plain,
% 7.89/5.67 ((~![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(s234, c_ready)) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(15997,plain,
% 7.89/5.67 ((~![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(s234, c_ready)) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[15996, 15995])).
% 7.89/5.67 tff(15998,plain,
% 7.89/5.67 ((~m_main_v_state(s234, c_ready)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234))),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15997, 60, 15994])).
% 7.89/5.67 tff(15999,plain,
% 7.89/5.67 (~m_main_v_state(s234, c_ready)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15998, 15990, 15967])).
% 7.89/5.67 tff(16000,plain,
% 7.89/5.67 (~m_main_v_state(s234, c_busy)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[15933, 72, 15971])).
% 7.89/5.67 tff(16001,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(16002,plain,
% 7.89/5.67 ((~![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))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(16003,plain,
% 7.89/5.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s234, c_busy) | m_main_v_state(s234, c_ready)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[16002, 16001])).
% 7.89/5.67 tff(16004,plain,
% 7.89/5.67 ($false),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[16003, 89, 16000, 15999])).
% 7.89/5.67 tff(16005,plain,(~node4(s234)), inference(lemma,lemma(discharge,[]))).
% 7.89/5.67 tff(16006,plain,
% 7.89/5.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s234) | node4(s234) | (~until5(s234)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s234) | node4(s234) | (~until5(s234)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(16007,plain,
% 7.89/5.67 ((node4(s234) | (~until5(s234)) | xuntil6(s234)) <=> (xuntil6(s234) | node4(s234) | (~until5(s234)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(16008,plain,
% 7.89/5.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s234) | (~until5(s234)) | xuntil6(s234))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s234) | node4(s234) | (~until5(s234))))),
% 7.89/5.67 inference(monotonicity,[status(thm)],[16007])).
% 7.89/5.67 tff(16009,plain,
% 7.89/5.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s234) | (~until5(s234)) | xuntil6(s234))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s234) | node4(s234) | (~until5(s234)))),
% 7.89/5.67 inference(transitivity,[status(thm)],[16008, 16006])).
% 7.89/5.67 tff(16010,plain,
% 7.89/5.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s234) | (~until5(s234)) | xuntil6(s234))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(16011,plain,
% 7.89/5.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s234) | node4(s234) | (~until5(s234))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[16010, 16009])).
% 7.89/5.67 tff(16012,plain,
% 7.89/5.67 (xuntil6(s234) | (~until5(s234))),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[16011, 352, 16005])).
% 7.89/5.67 tff(16013,plain,
% 7.89/5.67 (xuntil6(s234)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[16012, 15962])).
% 7.89/5.67 tff(16014,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(16015,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(16016,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[16015, 16014])).
% 7.89/5.67 tff(16017,plain,
% 7.89/5.67 ((~xuntil6(s234)) | until5(s235)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[16016, 15974, 370])).
% 7.89/5.67 tff(16018,plain,
% 7.89/5.67 (until5(s235)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[16017, 16013])).
% 7.89/5.67 tff(16019,assumption,(node4(s235)), introduced(assumption)).
% 7.89/5.67 tff(16020,plain,
% 7.89/5.67 (((~![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)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(16021,plain,
% 7.89/5.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s235) | (~node4(s235)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(16022,plain,
% 7.89/5.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s235) | (~node4(s235))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[16021, 16020])).
% 7.89/5.67 tff(16023,plain,
% 7.89/5.67 (m_main_v_request(s235)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[16022, 28, 16019])).
% 7.89/5.67 tff(16024,plain,
% 7.89/5.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s235) | (~node4(s235)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s235) | (~node4(s235)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(16025,plain,
% 7.89/5.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s235) | (~node4(s235)))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(16026,plain,
% 7.89/5.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s235) | (~node4(s235))),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[16025, 16024])).
% 7.89/5.67 tff(16027,plain,
% 7.89/5.67 (always3(s235)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[16026, 16, 16019])).
% 7.89/5.67 tff(16028,plain,
% 7.89/5.67 (succ(s235, s236) <=> succ(s235, s236)),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(16029,axiom,(succ(s235, s236)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound236')).
% 7.89/5.67 tff(16030,plain,
% 7.89/5.67 (succ(s235, s236)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[16029, 16028])).
% 7.89/5.67 tff(16031,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(16032,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s235, s236)) | trans(s235, s236))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(16033,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s235, s236)) | trans(s235, s236)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[16032, 16031])).
% 7.89/5.67 tff(16034,plain,
% 7.89/5.67 (trans(s235, s236)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[16033, 16030, 39])).
% 7.89/5.67 tff(16035,plain,
% 7.89/5.67 (((~![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))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(16036,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s235, s236)) | (~always3(s235)) | always3(s236))),
% 7.89/5.67 inference(quant_inst,[status(thm)],[])).
% 7.89/5.67 tff(16037,plain,
% 7.89/5.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s235, s236)) | (~always3(s235)) | always3(s236)),
% 7.89/5.67 inference(modus_ponens,[status(thm)],[16036, 16035])).
% 7.89/5.67 tff(16038,plain,
% 7.89/5.67 ((~always3(s235)) | always3(s236)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[16037, 112, 16034])).
% 7.89/5.67 tff(16039,plain,
% 7.89/5.67 (always3(s236)),
% 7.89/5.67 inference(unit_resolution,[status(thm)],[16038, 16027])).
% 7.89/5.67 tff(16040,plain,
% 7.89/5.67 (((~![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)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(16041,plain,
% 7.89/5.67 (((~m_main_v_state(s236, c_busy)) | (~always3(s236))) <=> ((~always3(s236)) | (~m_main_v_state(s236, c_busy)))),
% 7.89/5.67 inference(rewrite,[status(thm)],[])).
% 7.89/5.67 tff(16042,plain,
% 7.89/5.67 (((~![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))))),
% 7.89/5.67 inference(monotonicity,[status(thm)],[16041])).
% 7.89/5.67 tff(16043,plain,
% 7.89/5.67 (((~![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)))),
% 7.89/5.67 inference(transitivity,[status(thm)],[16042, 16040])).
% 7.89/5.67 tff(16044,plain,
% 7.89/5.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s236, c_busy)) | (~always3(s236)))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16045,plain,
% 7.89/5.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s236)) | (~m_main_v_state(s236, c_busy))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16044, 16043])).
% 7.89/5.68 tff(16046,plain,
% 7.89/5.68 (~m_main_v_state(s236, c_busy)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16045, 72, 16039])).
% 7.89/5.68 tff(16047,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16048,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s235, s236)) | node2(s235, s236))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16049,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s235, s236)) | node2(s235, s236)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16048, 16047])).
% 7.89/5.68 tff(16050,plain,
% 7.89/5.68 (node2(s235, s236)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16049, 7, 16034])).
% 7.89/5.68 tff(16051,plain,
% 7.89/5.68 (((~![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(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)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16052,plain,
% 7.89/5.68 ((~![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(s235, c_ready)) | (~node2(s235, s236)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235)))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16053,plain,
% 7.89/5.68 ((~![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(s235, c_ready)) | (~node2(s235, s236)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 7.89/5.68 tff(16054,plain,
% 7.89/5.68 ((~m_main_v_state(s235, c_ready)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235))),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16053, 60, 16050])).
% 7.89/5.68 tff(16055,plain,
% 7.89/5.68 (~m_main_v_state(s235, c_ready)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16054, 16046, 16023])).
% 7.89/5.68 tff(16056,plain,
% 7.89/5.68 (~m_main_v_state(s235, c_busy)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15989, 72, 16027])).
% 7.89/5.68 tff(16057,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16058,plain,
% 7.89/5.68 ((~![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))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16059,plain,
% 7.89/5.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s235, c_busy) | m_main_v_state(s235, c_ready)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16058, 16057])).
% 7.89/5.68 tff(16060,plain,
% 7.89/5.68 ($false),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16059, 89, 16056, 16055])).
% 7.89/5.68 tff(16061,plain,(~node4(s235)), inference(lemma,lemma(discharge,[]))).
% 7.89/5.68 tff(16062,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16063,plain,
% 7.89/5.68 ((node4(s235) | (~until5(s235)) | xuntil6(s235)) <=> (xuntil6(s235) | node4(s235) | (~until5(s235)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16064,plain,
% 7.89/5.68 (((~![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))))),
% 7.89/5.68 inference(monotonicity,[status(thm)],[16063])).
% 7.89/5.68 tff(16065,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(transitivity,[status(thm)],[16064, 16062])).
% 7.89/5.68 tff(16066,plain,
% 7.89/5.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s235) | (~until5(s235)) | xuntil6(s235))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16067,plain,
% 7.89/5.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s235) | node4(s235) | (~until5(s235))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16066, 16065])).
% 7.89/5.68 tff(16068,plain,
% 7.89/5.68 (xuntil6(s235) | (~until5(s235))),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16067, 352, 16061])).
% 7.89/5.68 tff(16069,plain,
% 7.89/5.68 (xuntil6(s235)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16068, 16018])).
% 7.89/5.68 tff(16070,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16071,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16072,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16071, 16070])).
% 7.89/5.68 tff(16073,plain,
% 7.89/5.68 ((~xuntil6(s235)) | until5(s236)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16072, 16030, 370])).
% 7.89/5.68 tff(16074,plain,
% 7.89/5.68 (until5(s236)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16073, 16069])).
% 7.89/5.68 tff(16075,assumption,(node4(s236)), introduced(assumption)).
% 7.89/5.68 tff(16076,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16077,plain,
% 7.89/5.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s236) | (~node4(s236)))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16078,plain,
% 7.89/5.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s236) | (~node4(s236))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16077, 16076])).
% 7.89/5.68 tff(16079,plain,
% 7.89/5.68 (m_main_v_request(s236)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16078, 28, 16075])).
% 7.89/5.68 tff(16080,plain,
% 7.89/5.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s236) | (~node4(s236)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s236) | (~node4(s236)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16081,plain,
% 7.89/5.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s236) | (~node4(s236)))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16082,plain,
% 7.89/5.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s236) | (~node4(s236))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16081, 16080])).
% 7.89/5.68 tff(16083,plain,
% 7.89/5.68 (always3(s236)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16082, 16, 16075])).
% 7.89/5.68 tff(16084,plain,
% 7.89/5.68 (succ(s236, s237) <=> succ(s236, s237)),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16085,axiom,(succ(s236, s237)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound237')).
% 7.89/5.68 tff(16086,plain,
% 7.89/5.68 (succ(s236, s237)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16085, 16084])).
% 7.89/5.68 tff(16087,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16088,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s236, s237)) | trans(s236, s237))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16089,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s236, s237)) | trans(s236, s237)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16088, 16087])).
% 7.89/5.68 tff(16090,plain,
% 7.89/5.68 (trans(s236, s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16089, 16086, 39])).
% 7.89/5.68 tff(16091,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16092,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s236, s237)) | (~always3(s236)) | always3(s237))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16093,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s236, s237)) | (~always3(s236)) | always3(s237)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16092, 16091])).
% 7.89/5.68 tff(16094,plain,
% 7.89/5.68 ((~always3(s236)) | always3(s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16093, 112, 16090])).
% 7.89/5.68 tff(16095,plain,
% 7.89/5.68 (always3(s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16094, 16083])).
% 7.89/5.68 tff(16096,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16097,plain,
% 7.89/5.68 (((~m_main_v_state(s237, c_busy)) | (~always3(s237))) <=> ((~always3(s237)) | (~m_main_v_state(s237, c_busy)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16098,plain,
% 7.89/5.68 (((~![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))))),
% 7.89/5.68 inference(monotonicity,[status(thm)],[16097])).
% 7.89/5.68 tff(16099,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(transitivity,[status(thm)],[16098, 16096])).
% 7.89/5.68 tff(16100,plain,
% 7.89/5.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s237, c_busy)) | (~always3(s237)))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16101,plain,
% 7.89/5.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s237)) | (~m_main_v_state(s237, c_busy))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16100, 16099])).
% 7.89/5.68 tff(16102,plain,
% 7.89/5.68 (~m_main_v_state(s237, c_busy)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16101, 72, 16095])).
% 7.89/5.68 tff(16103,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16104,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s236, s237)) | node2(s236, s237))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16105,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s236, s237)) | node2(s236, s237)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16104, 16103])).
% 7.89/5.68 tff(16106,plain,
% 7.89/5.68 (node2(s236, s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16105, 7, 16090])).
% 7.89/5.68 tff(16107,plain,
% 7.89/5.68 (((~![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(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)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16108,plain,
% 7.89/5.68 ((~![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(s236, c_ready)) | (~node2(s236, s237)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236)))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16109,plain,
% 7.89/5.68 ((~![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(s236, c_ready)) | (~node2(s236, s237)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16108, 16107])).
% 7.89/5.68 tff(16110,plain,
% 7.89/5.68 ((~m_main_v_state(s236, c_ready)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236))),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16109, 60, 16106])).
% 7.89/5.68 tff(16111,plain,
% 7.89/5.68 (~m_main_v_state(s236, c_ready)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16110, 16102, 16079])).
% 7.89/5.68 tff(16112,plain,
% 7.89/5.68 (~m_main_v_state(s236, c_busy)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16045, 72, 16083])).
% 7.89/5.68 tff(16113,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16114,plain,
% 7.89/5.68 ((~![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))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16115,plain,
% 7.89/5.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s236, c_busy) | m_main_v_state(s236, c_ready)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16114, 16113])).
% 7.89/5.68 tff(16116,plain,
% 7.89/5.68 ($false),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16115, 89, 16112, 16111])).
% 7.89/5.68 tff(16117,plain,(~node4(s236)), inference(lemma,lemma(discharge,[]))).
% 7.89/5.68 tff(16118,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16119,plain,
% 7.89/5.68 ((node4(s236) | (~until5(s236)) | xuntil6(s236)) <=> (xuntil6(s236) | node4(s236) | (~until5(s236)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16120,plain,
% 7.89/5.68 (((~![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))))),
% 7.89/5.68 inference(monotonicity,[status(thm)],[16119])).
% 7.89/5.68 tff(16121,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(transitivity,[status(thm)],[16120, 16118])).
% 7.89/5.68 tff(16122,plain,
% 7.89/5.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s236) | (~until5(s236)) | xuntil6(s236))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16123,plain,
% 7.89/5.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s236) | node4(s236) | (~until5(s236))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16122, 16121])).
% 7.89/5.68 tff(16124,plain,
% 7.89/5.68 (xuntil6(s236) | (~until5(s236))),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16123, 352, 16117])).
% 7.89/5.68 tff(16125,plain,
% 7.89/5.68 (xuntil6(s236)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16124, 16074])).
% 7.89/5.68 tff(16126,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16127,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16128,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16127, 16126])).
% 7.89/5.68 tff(16129,plain,
% 7.89/5.68 ((~xuntil6(s236)) | until5(s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16128, 16086, 370])).
% 7.89/5.68 tff(16130,plain,
% 7.89/5.68 (until5(s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16129, 16125])).
% 7.89/5.68 tff(16131,assumption,(node4(s237)), introduced(assumption)).
% 7.89/5.68 tff(16132,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16133,plain,
% 7.89/5.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s237) | (~node4(s237)))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16134,plain,
% 7.89/5.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s237) | (~node4(s237))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16133, 16132])).
% 7.89/5.68 tff(16135,plain,
% 7.89/5.68 (m_main_v_request(s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16134, 28, 16131])).
% 7.89/5.68 tff(16136,plain,
% 7.89/5.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s237) | (~node4(s237)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s237) | (~node4(s237)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16137,plain,
% 7.89/5.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s237) | (~node4(s237)))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16138,plain,
% 7.89/5.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s237) | (~node4(s237))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16137, 16136])).
% 7.89/5.68 tff(16139,plain,
% 7.89/5.68 (always3(s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16138, 16, 16131])).
% 7.89/5.68 tff(16140,plain,
% 7.89/5.68 (succ(s237, s238) <=> succ(s237, s238)),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16141,axiom,(succ(s237, s238)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound238')).
% 7.89/5.68 tff(16142,plain,
% 7.89/5.68 (succ(s237, s238)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16141, 16140])).
% 7.89/5.68 tff(16143,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16144,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s237, s238)) | trans(s237, s238))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16145,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s237, s238)) | trans(s237, s238)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16144, 16143])).
% 7.89/5.68 tff(16146,plain,
% 7.89/5.68 (trans(s237, s238)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16145, 16142, 39])).
% 7.89/5.68 tff(16147,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16148,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s237, s238)) | (~always3(s237)) | always3(s238))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16149,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s237, s238)) | (~always3(s237)) | always3(s238)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16148, 16147])).
% 7.89/5.68 tff(16150,plain,
% 7.89/5.68 ((~always3(s237)) | always3(s238)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16149, 112, 16146])).
% 7.89/5.68 tff(16151,plain,
% 7.89/5.68 (always3(s238)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16150, 16139])).
% 7.89/5.68 tff(16152,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16153,plain,
% 7.89/5.68 (((~m_main_v_state(s238, c_busy)) | (~always3(s238))) <=> ((~always3(s238)) | (~m_main_v_state(s238, c_busy)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16154,plain,
% 7.89/5.68 (((~![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))))),
% 7.89/5.68 inference(monotonicity,[status(thm)],[16153])).
% 7.89/5.68 tff(16155,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(transitivity,[status(thm)],[16154, 16152])).
% 7.89/5.68 tff(16156,plain,
% 7.89/5.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s238, c_busy)) | (~always3(s238)))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16157,plain,
% 7.89/5.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s238)) | (~m_main_v_state(s238, c_busy))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16156, 16155])).
% 7.89/5.68 tff(16158,plain,
% 7.89/5.68 (~m_main_v_state(s238, c_busy)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16157, 72, 16151])).
% 7.89/5.68 tff(16159,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16160,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s237, s238)) | node2(s237, s238))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16161,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s237, s238)) | node2(s237, s238)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16160, 16159])).
% 7.89/5.68 tff(16162,plain,
% 7.89/5.68 (node2(s237, s238)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16161, 7, 16146])).
% 7.89/5.68 tff(16163,plain,
% 7.89/5.68 (((~![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(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)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16164,plain,
% 7.89/5.68 ((~![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(s237, c_ready)) | (~node2(s237, s238)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237)))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16165,plain,
% 7.89/5.68 ((~![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(s237, c_ready)) | (~node2(s237, s238)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16164, 16163])).
% 7.89/5.68 tff(16166,plain,
% 7.89/5.68 ((~m_main_v_state(s237, c_ready)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237))),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16165, 60, 16162])).
% 7.89/5.68 tff(16167,plain,
% 7.89/5.68 (~m_main_v_state(s237, c_ready)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16166, 16158, 16135])).
% 7.89/5.68 tff(16168,plain,
% 7.89/5.68 (~m_main_v_state(s237, c_busy)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16101, 72, 16139])).
% 7.89/5.68 tff(16169,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16170,plain,
% 7.89/5.68 ((~![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))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16171,plain,
% 7.89/5.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s237, c_busy) | m_main_v_state(s237, c_ready)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16170, 16169])).
% 7.89/5.68 tff(16172,plain,
% 7.89/5.68 ($false),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16171, 89, 16168, 16167])).
% 7.89/5.68 tff(16173,plain,(~node4(s237)), inference(lemma,lemma(discharge,[]))).
% 7.89/5.68 tff(16174,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16175,plain,
% 7.89/5.68 ((node4(s237) | (~until5(s237)) | xuntil6(s237)) <=> (xuntil6(s237) | node4(s237) | (~until5(s237)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16176,plain,
% 7.89/5.68 (((~![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))))),
% 7.89/5.68 inference(monotonicity,[status(thm)],[16175])).
% 7.89/5.68 tff(16177,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(transitivity,[status(thm)],[16176, 16174])).
% 7.89/5.68 tff(16178,plain,
% 7.89/5.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s237) | (~until5(s237)) | xuntil6(s237))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16179,plain,
% 7.89/5.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s237) | node4(s237) | (~until5(s237))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16178, 16177])).
% 7.89/5.68 tff(16180,plain,
% 7.89/5.68 (xuntil6(s237) | (~until5(s237))),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16179, 352, 16173])).
% 7.89/5.68 tff(16181,plain,
% 7.89/5.68 (xuntil6(s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16180, 16130])).
% 7.89/5.68 tff(16182,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16183,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16184,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16183, 16182])).
% 7.89/5.68 tff(16185,plain,
% 7.89/5.68 ((~xuntil6(s237)) | until5(s238)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16184, 16142, 370])).
% 7.89/5.68 tff(16186,plain,
% 7.89/5.68 (until5(s238)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16185, 16181])).
% 7.89/5.68 tff(16187,assumption,(~xuntil6(s238)), introduced(assumption)).
% 7.89/5.68 tff(16188,assumption,(~always3(s238)), introduced(assumption)).
% 7.89/5.68 tff(16189,plain,
% 7.89/5.68 (~always3(s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16150, 16188])).
% 7.89/5.68 tff(16190,plain,
% 7.89/5.68 (~always3(s236)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16094, 16189])).
% 7.89/5.68 tff(16191,plain,
% 7.89/5.68 (~always3(s235)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16038, 16190])).
% 7.89/5.68 tff(16192,plain,
% 7.89/5.68 (~always3(s234)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15982, 16191])).
% 7.89/5.68 tff(16193,plain,
% 7.89/5.68 (~always3(s233)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15926, 16192])).
% 7.89/5.68 tff(16194,plain,
% 7.89/5.68 (~node4(s233)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15914, 16, 16193])).
% 7.89/5.68 tff(16195,plain,
% 7.89/5.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s238) | (~node4(s238)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s238) | (~node4(s238)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16196,plain,
% 7.89/5.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s238) | (~node4(s238)))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16197,plain,
% 7.89/5.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s238) | (~node4(s238))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16196, 16195])).
% 7.89/5.68 tff(16198,plain,
% 7.89/5.68 (~node4(s238)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16197, 16, 16188])).
% 7.89/5.68 tff(16199,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16200,plain,
% 7.89/5.68 ((node4(s238) | (~until5(s238)) | xuntil6(s238)) <=> (xuntil6(s238) | node4(s238) | (~until5(s238)))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16201,plain,
% 7.89/5.68 (((~![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))))),
% 7.89/5.68 inference(monotonicity,[status(thm)],[16200])).
% 7.89/5.68 tff(16202,plain,
% 7.89/5.68 (((~![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)))),
% 7.89/5.68 inference(transitivity,[status(thm)],[16201, 16199])).
% 7.89/5.68 tff(16203,plain,
% 7.89/5.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s238) | (~until5(s238)) | xuntil6(s238))),
% 7.89/5.68 inference(quant_inst,[status(thm)],[])).
% 7.89/5.68 tff(16204,plain,
% 7.89/5.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s238) | node4(s238) | (~until5(s238))),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16203, 16202])).
% 7.89/5.68 tff(16205,plain,
% 7.89/5.68 (node4(s238) | (~until5(s238))),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16204, 352, 16187])).
% 7.89/5.68 tff(16206,plain,
% 7.89/5.68 (~until5(s238)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16205, 16198])).
% 7.89/5.68 tff(16207,plain,
% 7.89/5.68 (~xuntil6(s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16185, 16206])).
% 7.89/5.68 tff(16208,plain,
% 7.89/5.68 (~until5(s237)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16180, 16207])).
% 7.89/5.68 tff(16209,plain,
% 7.89/5.68 (~xuntil6(s236)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16129, 16208])).
% 7.89/5.68 tff(16210,plain,
% 7.89/5.68 (~until5(s236)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16124, 16209])).
% 7.89/5.68 tff(16211,plain,
% 7.89/5.68 (~xuntil6(s235)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16073, 16210])).
% 7.89/5.68 tff(16212,plain,
% 7.89/5.68 (~until5(s235)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16068, 16211])).
% 7.89/5.68 tff(16213,plain,
% 7.89/5.68 (~xuntil6(s234)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16017, 16212])).
% 7.89/5.68 tff(16214,plain,
% 7.89/5.68 (~until5(s234)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16012, 16213])).
% 7.89/5.68 tff(16215,plain,
% 7.89/5.68 (~xuntil6(s233)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15961, 16214])).
% 7.89/5.68 tff(16216,plain,
% 7.89/5.68 (~until5(s233)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15955, 352, 16215, 16194])).
% 7.89/5.68 tff(16217,plain,
% 7.89/5.68 (~xuntil6(s232)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15905, 16216])).
% 7.89/5.68 tff(16218,plain,
% 7.89/5.68 (~always3(s232)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15759, 16193])).
% 7.89/5.68 tff(16219,plain,
% 7.89/5.68 (~node4(s232)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15582, 16, 16218])).
% 7.89/5.68 tff(16220,plain,
% 7.89/5.68 (xuntil6(s232) | (~until5(s232))),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15589, 352, 16219])).
% 7.89/5.68 tff(16221,plain,
% 7.89/5.68 (~until5(s232)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16220, 16217])).
% 7.89/5.68 tff(16222,plain,
% 7.89/5.68 (~xuntil6(s231)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15595, 16221])).
% 7.89/5.68 tff(16223,plain,
% 7.89/5.68 (~until5(s231)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15641, 16222])).
% 7.89/5.68 tff(16224,plain,
% 7.89/5.68 (~always3(s231)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15550, 16218])).
% 7.89/5.68 tff(16225,plain,
% 7.89/5.68 (~always3(s230)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15562, 16224])).
% 7.89/5.68 tff(16226,plain,
% 7.89/5.68 (~always3(s229)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15574, 16225])).
% 7.89/5.68 tff(16227,plain,
% 7.89/5.68 (~always3(s228)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15710, 16226])).
% 7.89/5.68 tff(16228,plain,
% 7.89/5.68 (~node4(s228)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15714, 16, 16227])).
% 7.89/5.68 tff(16229,plain,
% 7.89/5.68 (~always3(s227)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15522, 16227])).
% 7.89/5.68 tff(16230,plain,
% 7.89/5.68 (~node4(s227)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15719, 16, 16229])).
% 7.89/5.68 tff(16231,plain,
% 7.89/5.68 (~always3(s226)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15473, 16229])).
% 7.89/5.68 tff(16232,plain,
% 7.89/5.68 (~always3(s225)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15417, 16231])).
% 7.89/5.68 tff(16233,plain,
% 7.89/5.68 (~always3(s224)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15361, 16232])).
% 7.89/5.68 tff(16234,plain,
% 7.89/5.68 (~always3(s223)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15305, 16233])).
% 7.89/5.68 tff(16235,plain,
% 7.89/5.68 (~always3(s222)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15255, 16234])).
% 7.89/5.68 tff(16236,plain,
% 7.89/5.68 (xuntil6(s222)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15201, 16235])).
% 7.89/5.68 tff(16237,plain,
% 7.89/5.68 (until5(s223)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15284, 16236])).
% 7.89/5.68 tff(16238,plain,
% 7.89/5.68 (xuntil6(s223)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15335, 16237])).
% 7.89/5.68 tff(16239,plain,
% 7.89/5.68 (until5(s224)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15340, 16238])).
% 7.89/5.68 tff(16240,plain,
% 7.89/5.68 (xuntil6(s224)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15391, 16239])).
% 7.89/5.68 tff(16241,plain,
% 7.89/5.68 (until5(s225)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15396, 16240])).
% 7.89/5.68 tff(16242,plain,
% 7.89/5.68 (xuntil6(s225)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15447, 16241])).
% 7.89/5.68 tff(16243,plain,
% 7.89/5.68 (until5(s226)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15452, 16242])).
% 7.89/5.68 tff(16244,plain,
% 7.89/5.68 (xuntil6(s226)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15503, 16243])).
% 7.89/5.68 tff(16245,plain,
% 7.89/5.68 (until5(s227)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15508, 16244])).
% 7.89/5.68 tff(16246,plain,
% 7.89/5.68 (xuntil6(s227) | node4(s227)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15727, 352, 16245])).
% 7.89/5.68 tff(16247,plain,
% 7.89/5.68 (xuntil6(s227)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16246, 16230])).
% 7.89/5.68 tff(16248,plain,
% 7.89/5.68 (until5(s228)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15733, 16247])).
% 7.89/5.68 tff(16249,plain,
% 7.89/5.68 (xuntil6(s228)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15740, 352, 16248, 16228])).
% 7.89/5.68 tff(16250,plain,
% 7.89/5.68 (until5(s229)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15745, 16249])).
% 7.89/5.68 tff(16251,plain,
% 7.89/5.68 (~node4(s229)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15578, 16, 16226])).
% 7.89/5.68 tff(16252,plain,
% 7.89/5.68 (xuntil6(s229) | (~until5(s229))),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15698, 352, 16251])).
% 7.89/5.68 tff(16253,plain,
% 7.89/5.68 (xuntil6(s229)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16252, 16250])).
% 7.89/5.68 tff(16254,plain,
% 7.89/5.68 (until5(s230)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15691, 16253])).
% 7.89/5.68 tff(16255,plain,
% 7.89/5.68 (xuntil6(s230)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15686, 16254])).
% 7.89/5.68 tff(16256,plain,
% 7.89/5.68 ($false),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[15646, 16255, 16223])).
% 7.89/5.68 tff(16257,plain,(always3(s238) | xuntil6(s238)), inference(lemma,lemma(discharge,[]))).
% 7.89/5.68 tff(16258,plain,
% 7.89/5.68 (always3(s238)),
% 7.89/5.68 inference(unit_resolution,[status(thm)],[16257, 16187])).
% 7.89/5.68 tff(16259,plain,
% 7.89/5.68 (succ(s238, s239) <=> succ(s238, s239)),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16260,axiom,(succ(s238, s239)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound239')).
% 7.89/5.68 tff(16261,plain,
% 7.89/5.68 (succ(s238, s239)),
% 7.89/5.68 inference(modus_ponens,[status(thm)],[16260, 16259])).
% 7.89/5.68 tff(16262,plain,
% 7.89/5.68 (((~![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))),
% 7.89/5.68 inference(rewrite,[status(thm)],[])).
% 7.89/5.68 tff(16263,plain,
% 7.89/5.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s238, s239)) | trans(s238, s239))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16264,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s238, s239)) | trans(s238, s239)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16263, 16262])).
% 7.89/5.69 tff(16265,plain,
% 7.89/5.69 (trans(s238, s239)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16264, 16261, 39])).
% 7.89/5.69 tff(16266,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16267,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s238, s239)) | (~always3(s238)) | always3(s239))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16268,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s238, s239)) | (~always3(s238)) | always3(s239)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16267, 16266])).
% 7.89/5.69 tff(16269,plain,
% 7.89/5.69 ((~always3(s238)) | always3(s239)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16268, 112, 16265])).
% 7.89/5.69 tff(16270,plain,
% 7.89/5.69 (always3(s239)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16269, 16258])).
% 7.89/5.69 tff(16271,plain,
% 7.89/5.69 (((~![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)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16272,plain,
% 7.89/5.69 (((~m_main_v_state(s239, c_busy)) | (~always3(s239))) <=> ((~always3(s239)) | (~m_main_v_state(s239, c_busy)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16273,plain,
% 7.89/5.69 (((~![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))))),
% 7.89/5.69 inference(monotonicity,[status(thm)],[16272])).
% 7.89/5.69 tff(16274,plain,
% 7.89/5.69 (((~![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)))),
% 7.89/5.69 inference(transitivity,[status(thm)],[16273, 16271])).
% 7.89/5.69 tff(16275,plain,
% 7.89/5.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s239, c_busy)) | (~always3(s239)))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16276,plain,
% 7.89/5.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s239)) | (~m_main_v_state(s239, c_busy))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16275, 16274])).
% 7.89/5.69 tff(16277,plain,
% 7.89/5.69 (~m_main_v_state(s239, c_busy)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16276, 72, 16270])).
% 7.89/5.69 tff(16278,assumption,(until5(s238)), introduced(assumption)).
% 7.89/5.69 tff(16279,plain,
% 7.89/5.69 (xuntil6(s238) | node4(s238)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16204, 352, 16278])).
% 7.89/5.69 tff(16280,plain,
% 7.89/5.69 (node4(s238)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16279, 16187])).
% 7.89/5.69 tff(16281,plain,
% 7.89/5.69 (((~![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)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16282,plain,
% 7.89/5.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s238) | (~node4(s238)))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16283,plain,
% 7.89/5.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s238) | (~node4(s238))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16282, 16281])).
% 7.89/5.69 tff(16284,plain,
% 7.89/5.69 (m_main_v_request(s238)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16283, 28, 16280])).
% 7.89/5.69 tff(16285,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16286,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s238, s239)) | node2(s238, s239))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16287,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s238, s239)) | node2(s238, s239)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16286, 16285])).
% 7.89/5.69 tff(16288,plain,
% 7.89/5.69 (node2(s238, s239)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16287, 7, 16265])).
% 7.89/5.69 tff(16289,plain,
% 7.89/5.69 (((~![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(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)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16290,plain,
% 7.89/5.69 ((~![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(s238, c_ready)) | (~node2(s238, s239)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238)))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16291,plain,
% 7.89/5.69 ((~![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(s238, c_ready)) | (~node2(s238, s239)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16290, 16289])).
% 7.89/5.69 tff(16292,plain,
% 7.89/5.69 ((~m_main_v_state(s238, c_ready)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238))),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16291, 60, 16288])).
% 7.89/5.69 tff(16293,plain,
% 7.89/5.69 (~m_main_v_state(s238, c_ready)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16292, 16284, 16277])).
% 7.89/5.69 tff(16294,plain,
% 7.89/5.69 (~m_main_v_state(s238, c_busy)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16157, 72, 16258])).
% 7.89/5.69 tff(16295,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16296,plain,
% 7.89/5.69 ((~![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))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16297,plain,
% 7.89/5.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s238, c_busy) | m_main_v_state(s238, c_ready)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16296, 16295])).
% 7.89/5.69 tff(16298,plain,
% 7.89/5.69 ($false),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16297, 89, 16294, 16293])).
% 7.89/5.69 tff(16299,plain,(xuntil6(s238) | (~until5(s238))), inference(lemma,lemma(discharge,[]))).
% 7.89/5.69 tff(16300,plain,
% 7.89/5.69 (xuntil6(s238)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16299, 16186])).
% 7.89/5.69 tff(16301,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16302,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s238, s239)) | (~xuntil6(s238)) | until5(s239))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16303,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s238, s239)) | (~xuntil6(s238)) | until5(s239)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16302, 16301])).
% 7.89/5.69 tff(16304,plain,
% 7.89/5.69 ((~xuntil6(s238)) | until5(s239)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16303, 16261, 370])).
% 7.89/5.69 tff(16305,plain,
% 7.89/5.69 (until5(s239)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16304, 16300])).
% 7.89/5.69 tff(16306,assumption,(node4(s239)), introduced(assumption)).
% 7.89/5.69 tff(16307,plain,
% 7.89/5.69 (((~![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)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16308,plain,
% 7.89/5.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s239) | (~node4(s239)))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16309,plain,
% 7.89/5.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s239) | (~node4(s239))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16308, 16307])).
% 7.89/5.69 tff(16310,plain,
% 7.89/5.69 (m_main_v_request(s239)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16309, 28, 16306])).
% 7.89/5.69 tff(16311,plain,
% 7.89/5.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s239) | (~node4(s239)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s239) | (~node4(s239)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16312,plain,
% 7.89/5.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s239) | (~node4(s239)))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16313,plain,
% 7.89/5.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s239) | (~node4(s239))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16312, 16311])).
% 7.89/5.69 tff(16314,plain,
% 7.89/5.69 (always3(s239)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16313, 16, 16306])).
% 7.89/5.69 tff(16315,plain,
% 7.89/5.69 (succ(s239, s240) <=> succ(s239, s240)),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16316,axiom,(succ(s239, s240)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound240')).
% 7.89/5.69 tff(16317,plain,
% 7.89/5.69 (succ(s239, s240)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16316, 16315])).
% 7.89/5.69 tff(16318,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16319,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s239, s240)) | trans(s239, s240))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16320,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s239, s240)) | trans(s239, s240)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16319, 16318])).
% 7.89/5.69 tff(16321,plain,
% 7.89/5.69 (trans(s239, s240)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16320, 16317, 39])).
% 7.89/5.69 tff(16322,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16323,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s239, s240)) | (~always3(s239)) | always3(s240))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16324,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s239, s240)) | (~always3(s239)) | always3(s240)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16323, 16322])).
% 7.89/5.69 tff(16325,plain,
% 7.89/5.69 ((~always3(s239)) | always3(s240)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16324, 112, 16321])).
% 7.89/5.69 tff(16326,plain,
% 7.89/5.69 (always3(s240)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16325, 16314])).
% 7.89/5.69 tff(16327,plain,
% 7.89/5.69 (((~![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)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16328,plain,
% 7.89/5.69 (((~m_main_v_state(s240, c_busy)) | (~always3(s240))) <=> ((~always3(s240)) | (~m_main_v_state(s240, c_busy)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16329,plain,
% 7.89/5.69 (((~![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))))),
% 7.89/5.69 inference(monotonicity,[status(thm)],[16328])).
% 7.89/5.69 tff(16330,plain,
% 7.89/5.69 (((~![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)))),
% 7.89/5.69 inference(transitivity,[status(thm)],[16329, 16327])).
% 7.89/5.69 tff(16331,plain,
% 7.89/5.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s240, c_busy)) | (~always3(s240)))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16332,plain,
% 7.89/5.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s240)) | (~m_main_v_state(s240, c_busy))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16331, 16330])).
% 7.89/5.69 tff(16333,plain,
% 7.89/5.69 (~m_main_v_state(s240, c_busy)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16332, 72, 16326])).
% 7.89/5.69 tff(16334,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16335,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s239, s240)) | node2(s239, s240))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16336,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s239, s240)) | node2(s239, s240)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16335, 16334])).
% 7.89/5.69 tff(16337,plain,
% 7.89/5.69 (node2(s239, s240)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16336, 7, 16321])).
% 7.89/5.69 tff(16338,plain,
% 7.89/5.69 (((~![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(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)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16339,plain,
% 7.89/5.69 ((~![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(s239, c_ready)) | (~node2(s239, s240)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239)))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16340,plain,
% 7.89/5.69 ((~![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(s239, c_ready)) | (~node2(s239, s240)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16339, 16338])).
% 7.89/5.69 tff(16341,plain,
% 7.89/5.69 ((~m_main_v_state(s239, c_ready)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239))),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16340, 60, 16337])).
% 7.89/5.69 tff(16342,plain,
% 7.89/5.69 (~m_main_v_state(s239, c_ready)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16341, 16333, 16310])).
% 7.89/5.69 tff(16343,plain,
% 7.89/5.69 (~m_main_v_state(s239, c_busy)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16276, 72, 16314])).
% 7.89/5.69 tff(16344,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16345,plain,
% 7.89/5.69 ((~![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))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16346,plain,
% 7.89/5.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s239, c_busy) | m_main_v_state(s239, c_ready)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16345, 16344])).
% 7.89/5.69 tff(16347,plain,
% 7.89/5.69 ($false),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16346, 89, 16343, 16342])).
% 7.89/5.69 tff(16348,plain,(~node4(s239)), inference(lemma,lemma(discharge,[]))).
% 7.89/5.69 tff(16349,plain,
% 7.89/5.69 (((~![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)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16350,plain,
% 7.89/5.69 ((node4(s239) | (~until5(s239)) | xuntil6(s239)) <=> (xuntil6(s239) | node4(s239) | (~until5(s239)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16351,plain,
% 7.89/5.69 (((~![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))))),
% 7.89/5.69 inference(monotonicity,[status(thm)],[16350])).
% 7.89/5.69 tff(16352,plain,
% 7.89/5.69 (((~![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)))),
% 7.89/5.69 inference(transitivity,[status(thm)],[16351, 16349])).
% 7.89/5.69 tff(16353,plain,
% 7.89/5.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s239) | (~until5(s239)) | xuntil6(s239))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16354,plain,
% 7.89/5.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s239) | node4(s239) | (~until5(s239))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16353, 16352])).
% 7.89/5.69 tff(16355,plain,
% 7.89/5.69 (xuntil6(s239) | (~until5(s239))),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16354, 352, 16348])).
% 7.89/5.69 tff(16356,plain,
% 7.89/5.69 (xuntil6(s239)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16355, 16305])).
% 7.89/5.69 tff(16357,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16358,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s239, s240)) | (~xuntil6(s239)) | until5(s240))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16359,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s239, s240)) | (~xuntil6(s239)) | until5(s240)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16358, 16357])).
% 7.89/5.69 tff(16360,plain,
% 7.89/5.69 ((~xuntil6(s239)) | until5(s240)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16359, 16317, 370])).
% 7.89/5.69 tff(16361,plain,
% 7.89/5.69 (until5(s240)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16360, 16356])).
% 7.89/5.69 tff(16362,assumption,(node4(s240)), introduced(assumption)).
% 7.89/5.69 tff(16363,plain,
% 7.89/5.69 (((~![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)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16364,plain,
% 7.89/5.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s240) | (~node4(s240)))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16365,plain,
% 7.89/5.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s240) | (~node4(s240))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16364, 16363])).
% 7.89/5.69 tff(16366,plain,
% 7.89/5.69 (m_main_v_request(s240)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16365, 28, 16362])).
% 7.89/5.69 tff(16367,plain,
% 7.89/5.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s240) | (~node4(s240)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s240) | (~node4(s240)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16368,plain,
% 7.89/5.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s240) | (~node4(s240)))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16369,plain,
% 7.89/5.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s240) | (~node4(s240))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16368, 16367])).
% 7.89/5.69 tff(16370,plain,
% 7.89/5.69 (always3(s240)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16369, 16, 16362])).
% 7.89/5.69 tff(16371,plain,
% 7.89/5.69 (succ(s240, s241) <=> succ(s240, s241)),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16372,axiom,(succ(s240, s241)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound241')).
% 7.89/5.69 tff(16373,plain,
% 7.89/5.69 (succ(s240, s241)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16372, 16371])).
% 7.89/5.69 tff(16374,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16375,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s240, s241)) | trans(s240, s241))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16376,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s240, s241)) | trans(s240, s241)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16375, 16374])).
% 7.89/5.69 tff(16377,plain,
% 7.89/5.69 (trans(s240, s241)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16376, 16373, 39])).
% 7.89/5.69 tff(16378,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16379,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s240, s241)) | (~always3(s240)) | always3(s241))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16380,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s240, s241)) | (~always3(s240)) | always3(s241)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16379, 16378])).
% 7.89/5.69 tff(16381,plain,
% 7.89/5.69 ((~always3(s240)) | always3(s241)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16380, 112, 16377])).
% 7.89/5.69 tff(16382,plain,
% 7.89/5.69 (always3(s241)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16381, 16370])).
% 7.89/5.69 tff(16383,plain,
% 7.89/5.69 (((~![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)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16384,plain,
% 7.89/5.69 (((~m_main_v_state(s241, c_busy)) | (~always3(s241))) <=> ((~always3(s241)) | (~m_main_v_state(s241, c_busy)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16385,plain,
% 7.89/5.69 (((~![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))))),
% 7.89/5.69 inference(monotonicity,[status(thm)],[16384])).
% 7.89/5.69 tff(16386,plain,
% 7.89/5.69 (((~![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)))),
% 7.89/5.69 inference(transitivity,[status(thm)],[16385, 16383])).
% 7.89/5.69 tff(16387,plain,
% 7.89/5.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s241, c_busy)) | (~always3(s241)))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16388,plain,
% 7.89/5.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s241)) | (~m_main_v_state(s241, c_busy))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16387, 16386])).
% 7.89/5.69 tff(16389,plain,
% 7.89/5.69 (~m_main_v_state(s241, c_busy)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16388, 72, 16382])).
% 7.89/5.69 tff(16390,plain,
% 7.89/5.69 (((~![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))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16391,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s240, s241)) | node2(s240, s241))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16392,plain,
% 7.89/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s240, s241)) | node2(s240, s241)),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16391, 16390])).
% 7.89/5.69 tff(16393,plain,
% 7.89/5.69 (node2(s240, s241)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16392, 7, 16377])).
% 7.89/5.69 tff(16394,plain,
% 7.89/5.69 (((~![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(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)))),
% 7.89/5.69 inference(rewrite,[status(thm)],[])).
% 7.89/5.69 tff(16395,plain,
% 7.89/5.69 ((~![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(s240, c_ready)) | (~node2(s240, s241)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240)))),
% 7.89/5.69 inference(quant_inst,[status(thm)],[])).
% 7.89/5.69 tff(16396,plain,
% 7.89/5.69 ((~![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(s240, c_ready)) | (~node2(s240, s241)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240))),
% 7.89/5.69 inference(modus_ponens,[status(thm)],[16395, 16394])).
% 7.89/5.69 tff(16397,plain,
% 7.89/5.69 ((~m_main_v_state(s240, c_ready)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240))),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16396, 60, 16393])).
% 7.89/5.69 tff(16398,plain,
% 7.89/5.69 (~m_main_v_state(s240, c_ready)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16397, 16389, 16366])).
% 7.89/5.69 tff(16399,plain,
% 7.89/5.69 (~m_main_v_state(s240, c_busy)),
% 7.89/5.69 inference(unit_resolution,[status(thm)],[16332, 72, 16370])).
% 7.89/5.69 tff(16400,plain,
% 7.89/5.69 (((~![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))),
% 7.92/5.69 inference(rewrite,[status(thm)],[])).
% 7.92/5.69 tff(16401,plain,
% 7.92/5.69 ((~![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))),
% 7.92/5.69 inference(quant_inst,[status(thm)],[])).
% 7.92/5.69 tff(16402,plain,
% 7.92/5.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s240, c_busy) | m_main_v_state(s240, c_ready)),
% 7.92/5.69 inference(modus_ponens,[status(thm)],[16401, 16400])).
% 7.92/5.69 tff(16403,plain,
% 7.92/5.69 ($false),
% 7.92/5.69 inference(unit_resolution,[status(thm)],[16402, 89, 16399, 16398])).
% 7.92/5.69 tff(16404,plain,(~node4(s240)), inference(lemma,lemma(discharge,[]))).
% 7.92/5.69 tff(16405,plain,
% 7.92/5.69 (((~![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)))),
% 7.92/5.69 inference(rewrite,[status(thm)],[])).
% 7.92/5.69 tff(16406,plain,
% 7.92/5.69 ((node4(s240) | (~until5(s240)) | xuntil6(s240)) <=> (xuntil6(s240) | node4(s240) | (~until5(s240)))),
% 7.92/5.69 inference(rewrite,[status(thm)],[])).
% 7.92/5.69 tff(16407,plain,
% 7.92/5.69 (((~![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))))),
% 7.92/5.69 inference(monotonicity,[status(thm)],[16406])).
% 7.92/5.69 tff(16408,plain,
% 7.92/5.69 (((~![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)))),
% 7.92/5.69 inference(transitivity,[status(thm)],[16407, 16405])).
% 7.92/5.69 tff(16409,plain,
% 7.92/5.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s240) | (~until5(s240)) | xuntil6(s240))),
% 7.92/5.69 inference(quant_inst,[status(thm)],[])).
% 7.92/5.69 tff(16410,plain,
% 7.92/5.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s240) | node4(s240) | (~until5(s240))),
% 7.92/5.69 inference(modus_ponens,[status(thm)],[16409, 16408])).
% 7.92/5.69 tff(16411,plain,
% 7.92/5.69 (xuntil6(s240) | (~until5(s240))),
% 7.92/5.69 inference(unit_resolution,[status(thm)],[16410, 352, 16404])).
% 7.92/5.69 tff(16412,plain,
% 7.92/5.69 (xuntil6(s240)),
% 7.92/5.69 inference(unit_resolution,[status(thm)],[16411, 16361])).
% 7.92/5.69 tff(16413,plain,
% 7.92/5.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s240, s241)) | (~xuntil6(s240)) | until5(s241))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s240, s241)) | (~xuntil6(s240)) | until5(s241))),
% 7.92/5.69 inference(rewrite,[status(thm)],[])).
% 7.92/5.69 tff(16414,plain,
% 7.92/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s240, s241)) | (~xuntil6(s240)) | until5(s241))),
% 7.92/5.69 inference(quant_inst,[status(thm)],[])).
% 7.92/5.69 tff(16415,plain,
% 7.92/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s240, s241)) | (~xuntil6(s240)) | until5(s241)),
% 7.92/5.69 inference(modus_ponens,[status(thm)],[16414, 16413])).
% 7.92/5.69 tff(16416,plain,
% 7.92/5.69 ((~xuntil6(s240)) | until5(s241)),
% 7.92/5.69 inference(unit_resolution,[status(thm)],[16415, 16373, 370])).
% 7.92/5.69 tff(16417,plain,
% 7.92/5.69 (until5(s241)),
% 7.92/5.69 inference(unit_resolution,[status(thm)],[16416, 16412])).
% 7.92/5.69 tff(16418,assumption,(node4(s241)), introduced(assumption)).
% 7.92/5.69 tff(16419,plain,
% 7.92/5.69 (((~![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)))),
% 7.92/5.69 inference(rewrite,[status(thm)],[])).
% 7.92/5.69 tff(16420,plain,
% 7.92/5.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s241) | (~node4(s241)))),
% 7.92/5.69 inference(quant_inst,[status(thm)],[])).
% 7.92/5.69 tff(16421,plain,
% 7.92/5.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s241) | (~node4(s241))),
% 7.92/5.69 inference(modus_ponens,[status(thm)],[16420, 16419])).
% 7.92/5.69 tff(16422,plain,
% 7.92/5.69 (m_main_v_request(s241)),
% 7.92/5.69 inference(unit_resolution,[status(thm)],[16421, 28, 16418])).
% 7.92/5.69 tff(16423,plain,
% 7.92/5.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s241) | (~node4(s241)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s241) | (~node4(s241)))),
% 7.92/5.69 inference(rewrite,[status(thm)],[])).
% 7.92/5.69 tff(16424,plain,
% 7.92/5.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s241) | (~node4(s241)))),
% 7.92/5.69 inference(quant_inst,[status(thm)],[])).
% 7.92/5.69 tff(16425,plain,
% 7.92/5.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s241) | (~node4(s241))),
% 7.92/5.69 inference(modus_ponens,[status(thm)],[16424, 16423])).
% 7.92/5.69 tff(16426,plain,
% 7.92/5.69 (always3(s241)),
% 7.92/5.69 inference(unit_resolution,[status(thm)],[16425, 16, 16418])).
% 7.92/5.69 tff(16427,plain,
% 7.92/5.69 (succ(s241, s242) <=> succ(s241, s242)),
% 7.92/5.69 inference(rewrite,[status(thm)],[])).
% 7.92/5.69 tff(16428,axiom,(succ(s241, s242)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound242')).
% 7.92/5.69 tff(16429,plain,
% 7.92/5.69 (succ(s241, s242)),
% 7.92/5.69 inference(modus_ponens,[status(thm)],[16428, 16427])).
% 7.92/5.69 tff(16430,plain,
% 7.92/5.69 (((~![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))),
% 7.92/5.69 inference(rewrite,[status(thm)],[])).
% 7.92/5.69 tff(16431,plain,
% 7.92/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s241, s242)) | trans(s241, s242))),
% 7.92/5.69 inference(quant_inst,[status(thm)],[])).
% 7.92/5.69 tff(16432,plain,
% 7.92/5.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s241, s242)) | trans(s241, s242)),
% 7.92/5.69 inference(modus_ponens,[status(thm)],[16431, 16430])).
% 7.92/5.69 tff(16433,plain,
% 7.92/5.69 (trans(s241, s242)),
% 7.92/5.69 inference(unit_resolution,[status(thm)],[16432, 16429, 39])).
% 7.92/5.69 tff(16434,plain,
% 7.92/5.69 (((~![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))),
% 7.92/5.69 inference(rewrite,[status(thm)],[])).
% 7.92/5.69 tff(16435,plain,
% 7.92/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s241, s242)) | (~always3(s241)) | always3(s242))),
% 7.92/5.69 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16436,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s241, s242)) | (~always3(s241)) | always3(s242)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16435, 16434])).
% 7.92/5.70 tff(16437,plain,
% 7.92/5.70 ((~always3(s241)) | always3(s242)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16436, 112, 16433])).
% 7.92/5.70 tff(16438,plain,
% 7.92/5.70 (always3(s242)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16437, 16426])).
% 7.92/5.70 tff(16439,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16440,plain,
% 7.92/5.70 (((~m_main_v_state(s242, c_busy)) | (~always3(s242))) <=> ((~always3(s242)) | (~m_main_v_state(s242, c_busy)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16441,plain,
% 7.92/5.70 (((~![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))))),
% 7.92/5.70 inference(monotonicity,[status(thm)],[16440])).
% 7.92/5.70 tff(16442,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(transitivity,[status(thm)],[16441, 16439])).
% 7.92/5.70 tff(16443,plain,
% 7.92/5.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s242, c_busy)) | (~always3(s242)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16444,plain,
% 7.92/5.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s242)) | (~m_main_v_state(s242, c_busy))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16443, 16442])).
% 7.92/5.70 tff(16445,plain,
% 7.92/5.70 (~m_main_v_state(s242, c_busy)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16444, 72, 16438])).
% 7.92/5.70 tff(16446,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16447,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s241, s242)) | node2(s241, s242))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16448,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s241, s242)) | node2(s241, s242)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16447, 16446])).
% 7.92/5.70 tff(16449,plain,
% 7.92/5.70 (node2(s241, s242)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16448, 7, 16433])).
% 7.92/5.70 tff(16450,plain,
% 7.92/5.70 (((~![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(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)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16451,plain,
% 7.92/5.70 ((~![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(s241, c_ready)) | (~node2(s241, s242)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16452,plain,
% 7.92/5.70 ((~![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(s241, c_ready)) | (~node2(s241, s242)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16451, 16450])).
% 7.92/5.70 tff(16453,plain,
% 7.92/5.70 ((~m_main_v_state(s241, c_ready)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241))),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16452, 60, 16449])).
% 7.92/5.70 tff(16454,plain,
% 7.92/5.70 (~m_main_v_state(s241, c_ready)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16453, 16445, 16422])).
% 7.92/5.70 tff(16455,plain,
% 7.92/5.70 (~m_main_v_state(s241, c_busy)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16388, 72, 16426])).
% 7.92/5.70 tff(16456,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16457,plain,
% 7.92/5.70 ((~![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))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16458,plain,
% 7.92/5.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s241, c_busy) | m_main_v_state(s241, c_ready)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16457, 16456])).
% 7.92/5.70 tff(16459,plain,
% 7.92/5.70 ($false),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16458, 89, 16455, 16454])).
% 7.92/5.70 tff(16460,plain,(~node4(s241)), inference(lemma,lemma(discharge,[]))).
% 7.92/5.70 tff(16461,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16462,plain,
% 7.92/5.70 ((node4(s241) | (~until5(s241)) | xuntil6(s241)) <=> (xuntil6(s241) | node4(s241) | (~until5(s241)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16463,plain,
% 7.92/5.70 (((~![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))))),
% 7.92/5.70 inference(monotonicity,[status(thm)],[16462])).
% 7.92/5.70 tff(16464,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(transitivity,[status(thm)],[16463, 16461])).
% 7.92/5.70 tff(16465,plain,
% 7.92/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s241) | (~until5(s241)) | xuntil6(s241))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16466,plain,
% 7.92/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s241) | node4(s241) | (~until5(s241))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16465, 16464])).
% 7.92/5.70 tff(16467,plain,
% 7.92/5.70 (xuntil6(s241) | (~until5(s241))),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16466, 352, 16460])).
% 7.92/5.70 tff(16468,plain,
% 7.92/5.70 (xuntil6(s241)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16467, 16417])).
% 7.92/5.70 tff(16469,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16470,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s241, s242)) | (~xuntil6(s241)) | until5(s242))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16471,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s241, s242)) | (~xuntil6(s241)) | until5(s242)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16470, 16469])).
% 7.92/5.70 tff(16472,plain,
% 7.92/5.70 ((~xuntil6(s241)) | until5(s242)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16471, 16429, 370])).
% 7.92/5.70 tff(16473,plain,
% 7.92/5.70 (until5(s242)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16472, 16468])).
% 7.92/5.70 tff(16474,assumption,(node4(s242)), introduced(assumption)).
% 7.92/5.70 tff(16475,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16476,plain,
% 7.92/5.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s242) | (~node4(s242)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16477,plain,
% 7.92/5.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s242) | (~node4(s242))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16476, 16475])).
% 7.92/5.70 tff(16478,plain,
% 7.92/5.70 (m_main_v_request(s242)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16477, 28, 16474])).
% 7.92/5.70 tff(16479,plain,
% 7.92/5.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s242) | (~node4(s242)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s242) | (~node4(s242)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16480,plain,
% 7.92/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s242) | (~node4(s242)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16481,plain,
% 7.92/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s242) | (~node4(s242))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16480, 16479])).
% 7.92/5.70 tff(16482,plain,
% 7.92/5.70 (always3(s242)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16481, 16, 16474])).
% 7.92/5.70 tff(16483,plain,
% 7.92/5.70 (succ(s242, s243) <=> succ(s242, s243)),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16484,axiom,(succ(s242, s243)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound243')).
% 7.92/5.70 tff(16485,plain,
% 7.92/5.70 (succ(s242, s243)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16484, 16483])).
% 7.92/5.70 tff(16486,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16487,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s242, s243)) | trans(s242, s243))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16488,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s242, s243)) | trans(s242, s243)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16487, 16486])).
% 7.92/5.70 tff(16489,plain,
% 7.92/5.70 (trans(s242, s243)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16488, 16485, 39])).
% 7.92/5.70 tff(16490,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16491,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s242, s243)) | (~always3(s242)) | always3(s243))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16492,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s242, s243)) | (~always3(s242)) | always3(s243)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16491, 16490])).
% 7.92/5.70 tff(16493,plain,
% 7.92/5.70 ((~always3(s242)) | always3(s243)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16492, 112, 16489])).
% 7.92/5.70 tff(16494,plain,
% 7.92/5.70 (always3(s243)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16493, 16482])).
% 7.92/5.70 tff(16495,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16496,plain,
% 7.92/5.70 (((~m_main_v_state(s243, c_busy)) | (~always3(s243))) <=> ((~always3(s243)) | (~m_main_v_state(s243, c_busy)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16497,plain,
% 7.92/5.70 (((~![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))))),
% 7.92/5.70 inference(monotonicity,[status(thm)],[16496])).
% 7.92/5.70 tff(16498,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(transitivity,[status(thm)],[16497, 16495])).
% 7.92/5.70 tff(16499,plain,
% 7.92/5.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s243, c_busy)) | (~always3(s243)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16500,plain,
% 7.92/5.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s243)) | (~m_main_v_state(s243, c_busy))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16499, 16498])).
% 7.92/5.70 tff(16501,plain,
% 7.92/5.70 (~m_main_v_state(s243, c_busy)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16500, 72, 16494])).
% 7.92/5.70 tff(16502,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16503,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s242, s243)) | node2(s242, s243))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16504,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s242, s243)) | node2(s242, s243)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16503, 16502])).
% 7.92/5.70 tff(16505,plain,
% 7.92/5.70 (node2(s242, s243)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16504, 7, 16489])).
% 7.92/5.70 tff(16506,plain,
% 7.92/5.70 (((~![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(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)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16507,plain,
% 7.92/5.70 ((~![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(s242, c_ready)) | (~node2(s242, s243)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16508,plain,
% 7.92/5.70 ((~![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(s242, c_ready)) | (~node2(s242, s243)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16507, 16506])).
% 7.92/5.70 tff(16509,plain,
% 7.92/5.70 ((~m_main_v_state(s242, c_ready)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242))),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16508, 60, 16505])).
% 7.92/5.70 tff(16510,plain,
% 7.92/5.70 (~m_main_v_state(s242, c_ready)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16509, 16501, 16478])).
% 7.92/5.70 tff(16511,plain,
% 7.92/5.70 (~m_main_v_state(s242, c_busy)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16444, 72, 16482])).
% 7.92/5.70 tff(16512,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16513,plain,
% 7.92/5.70 ((~![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))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16514,plain,
% 7.92/5.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s242, c_busy) | m_main_v_state(s242, c_ready)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16513, 16512])).
% 7.92/5.70 tff(16515,plain,
% 7.92/5.70 ($false),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16514, 89, 16511, 16510])).
% 7.92/5.70 tff(16516,plain,(~node4(s242)), inference(lemma,lemma(discharge,[]))).
% 7.92/5.70 tff(16517,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16518,plain,
% 7.92/5.70 ((node4(s242) | (~until5(s242)) | xuntil6(s242)) <=> (xuntil6(s242) | node4(s242) | (~until5(s242)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16519,plain,
% 7.92/5.70 (((~![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))))),
% 7.92/5.70 inference(monotonicity,[status(thm)],[16518])).
% 7.92/5.70 tff(16520,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(transitivity,[status(thm)],[16519, 16517])).
% 7.92/5.70 tff(16521,plain,
% 7.92/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s242) | (~until5(s242)) | xuntil6(s242))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16522,plain,
% 7.92/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s242) | node4(s242) | (~until5(s242))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16521, 16520])).
% 7.92/5.70 tff(16523,plain,
% 7.92/5.70 (xuntil6(s242) | (~until5(s242))),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16522, 352, 16516])).
% 7.92/5.70 tff(16524,plain,
% 7.92/5.70 (xuntil6(s242)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16523, 16473])).
% 7.92/5.70 tff(16525,plain,
% 7.92/5.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s242, s243)) | (~xuntil6(s242)) | until5(s243))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s242, s243)) | (~xuntil6(s242)) | until5(s243))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16526,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s242, s243)) | (~xuntil6(s242)) | until5(s243))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16527,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s242, s243)) | (~xuntil6(s242)) | until5(s243)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16526, 16525])).
% 7.92/5.70 tff(16528,plain,
% 7.92/5.70 ((~xuntil6(s242)) | until5(s243)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16527, 16485, 370])).
% 7.92/5.70 tff(16529,plain,
% 7.92/5.70 (until5(s243)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16528, 16524])).
% 7.92/5.70 tff(16530,assumption,(node4(s243)), introduced(assumption)).
% 7.92/5.70 tff(16531,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16532,plain,
% 7.92/5.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s243) | (~node4(s243)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16533,plain,
% 7.92/5.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s243) | (~node4(s243))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16532, 16531])).
% 7.92/5.70 tff(16534,plain,
% 7.92/5.70 (m_main_v_request(s243)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16533, 28, 16530])).
% 7.92/5.70 tff(16535,plain,
% 7.92/5.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s243) | (~node4(s243)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s243) | (~node4(s243)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16536,plain,
% 7.92/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s243) | (~node4(s243)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16537,plain,
% 7.92/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s243) | (~node4(s243))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16536, 16535])).
% 7.92/5.70 tff(16538,plain,
% 7.92/5.70 (always3(s243)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16537, 16, 16530])).
% 7.92/5.70 tff(16539,plain,
% 7.92/5.70 (succ(s243, s244) <=> succ(s243, s244)),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16540,axiom,(succ(s243, s244)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound244')).
% 7.92/5.70 tff(16541,plain,
% 7.92/5.70 (succ(s243, s244)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16540, 16539])).
% 7.92/5.70 tff(16542,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16543,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s243, s244)) | trans(s243, s244))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16544,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s243, s244)) | trans(s243, s244)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16543, 16542])).
% 7.92/5.70 tff(16545,plain,
% 7.92/5.70 (trans(s243, s244)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16544, 16541, 39])).
% 7.92/5.70 tff(16546,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16547,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s243, s244)) | (~always3(s243)) | always3(s244))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16548,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s243, s244)) | (~always3(s243)) | always3(s244)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16547, 16546])).
% 7.92/5.70 tff(16549,plain,
% 7.92/5.70 ((~always3(s243)) | always3(s244)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16548, 112, 16545])).
% 7.92/5.70 tff(16550,plain,
% 7.92/5.70 (always3(s244)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16549, 16538])).
% 7.92/5.70 tff(16551,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16552,plain,
% 7.92/5.70 (((~m_main_v_state(s244, c_busy)) | (~always3(s244))) <=> ((~always3(s244)) | (~m_main_v_state(s244, c_busy)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16553,plain,
% 7.92/5.70 (((~![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))))),
% 7.92/5.70 inference(monotonicity,[status(thm)],[16552])).
% 7.92/5.70 tff(16554,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(transitivity,[status(thm)],[16553, 16551])).
% 7.92/5.70 tff(16555,plain,
% 7.92/5.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s244, c_busy)) | (~always3(s244)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16556,plain,
% 7.92/5.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s244)) | (~m_main_v_state(s244, c_busy))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16555, 16554])).
% 7.92/5.70 tff(16557,plain,
% 7.92/5.70 (~m_main_v_state(s244, c_busy)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16556, 72, 16550])).
% 7.92/5.70 tff(16558,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16559,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s243, s244)) | node2(s243, s244))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16560,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s243, s244)) | node2(s243, s244)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16559, 16558])).
% 7.92/5.70 tff(16561,plain,
% 7.92/5.70 (node2(s243, s244)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16560, 7, 16545])).
% 7.92/5.70 tff(16562,plain,
% 7.92/5.70 (((~![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(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)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16563,plain,
% 7.92/5.70 ((~![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(s243, c_ready)) | (~node2(s243, s244)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16564,plain,
% 7.92/5.70 ((~![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(s243, c_ready)) | (~node2(s243, s244)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16563, 16562])).
% 7.92/5.70 tff(16565,plain,
% 7.92/5.70 ((~m_main_v_state(s243, c_ready)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243))),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16564, 60, 16561])).
% 7.92/5.70 tff(16566,plain,
% 7.92/5.70 (~m_main_v_state(s243, c_ready)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16565, 16557, 16534])).
% 7.92/5.70 tff(16567,plain,
% 7.92/5.70 (~m_main_v_state(s243, c_busy)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16500, 72, 16538])).
% 7.92/5.70 tff(16568,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16569,plain,
% 7.92/5.70 ((~![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))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16570,plain,
% 7.92/5.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s243, c_busy) | m_main_v_state(s243, c_ready)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16569, 16568])).
% 7.92/5.70 tff(16571,plain,
% 7.92/5.70 ($false),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16570, 89, 16567, 16566])).
% 7.92/5.70 tff(16572,plain,(~node4(s243)), inference(lemma,lemma(discharge,[]))).
% 7.92/5.70 tff(16573,plain,
% 7.92/5.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s243) | node4(s243) | (~until5(s243)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s243) | node4(s243) | (~until5(s243)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16574,plain,
% 7.92/5.70 ((node4(s243) | (~until5(s243)) | xuntil6(s243)) <=> (xuntil6(s243) | node4(s243) | (~until5(s243)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16575,plain,
% 7.92/5.70 (((~![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))))),
% 7.92/5.70 inference(monotonicity,[status(thm)],[16574])).
% 7.92/5.70 tff(16576,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(transitivity,[status(thm)],[16575, 16573])).
% 7.92/5.70 tff(16577,plain,
% 7.92/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s243) | (~until5(s243)) | xuntil6(s243))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16578,plain,
% 7.92/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s243) | node4(s243) | (~until5(s243))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16577, 16576])).
% 7.92/5.70 tff(16579,plain,
% 7.92/5.70 (xuntil6(s243) | (~until5(s243))),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16578, 352, 16572])).
% 7.92/5.70 tff(16580,plain,
% 7.92/5.70 (xuntil6(s243)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16579, 16529])).
% 7.92/5.70 tff(16581,plain,
% 7.92/5.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s243, s244)) | (~xuntil6(s243)) | until5(s244))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s243, s244)) | (~xuntil6(s243)) | until5(s244))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16582,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s243, s244)) | (~xuntil6(s243)) | until5(s244))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16583,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s243, s244)) | (~xuntil6(s243)) | until5(s244)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16582, 16581])).
% 7.92/5.70 tff(16584,plain,
% 7.92/5.70 ((~xuntil6(s243)) | until5(s244)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16583, 16541, 370])).
% 7.92/5.70 tff(16585,plain,
% 7.92/5.70 (until5(s244)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16584, 16580])).
% 7.92/5.70 tff(16586,assumption,(node4(s244)), introduced(assumption)).
% 7.92/5.70 tff(16587,plain,
% 7.92/5.70 (((~![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)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16588,plain,
% 7.92/5.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s244) | (~node4(s244)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16589,plain,
% 7.92/5.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s244) | (~node4(s244))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16588, 16587])).
% 7.92/5.70 tff(16590,plain,
% 7.92/5.70 (m_main_v_request(s244)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16589, 28, 16586])).
% 7.92/5.70 tff(16591,plain,
% 7.92/5.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s244) | (~node4(s244)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s244) | (~node4(s244)))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16592,plain,
% 7.92/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s244) | (~node4(s244)))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16593,plain,
% 7.92/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s244) | (~node4(s244))),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16592, 16591])).
% 7.92/5.70 tff(16594,plain,
% 7.92/5.70 (always3(s244)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16593, 16, 16586])).
% 7.92/5.70 tff(16595,plain,
% 7.92/5.70 (succ(s244, s245) <=> succ(s244, s245)),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16596,axiom,(succ(s244, s245)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound245')).
% 7.92/5.70 tff(16597,plain,
% 7.92/5.70 (succ(s244, s245)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16596, 16595])).
% 7.92/5.70 tff(16598,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16599,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s244, s245)) | trans(s244, s245))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16600,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s244, s245)) | trans(s244, s245)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16599, 16598])).
% 7.92/5.70 tff(16601,plain,
% 7.92/5.70 (trans(s244, s245)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16600, 16597, 39])).
% 7.92/5.70 tff(16602,plain,
% 7.92/5.70 (((~![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))),
% 7.92/5.70 inference(rewrite,[status(thm)],[])).
% 7.92/5.70 tff(16603,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s244, s245)) | (~always3(s244)) | always3(s245))),
% 7.92/5.70 inference(quant_inst,[status(thm)],[])).
% 7.92/5.70 tff(16604,plain,
% 7.92/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s244, s245)) | (~always3(s244)) | always3(s245)),
% 7.92/5.70 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 7.92/5.70 tff(16605,plain,
% 7.92/5.70 ((~always3(s244)) | always3(s245)),
% 7.92/5.70 inference(unit_resolution,[status(thm)],[16604, 112, 16601])).
% 7.92/5.71 tff(16606,plain,
% 7.92/5.71 (always3(s245)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16605, 16594])).
% 7.92/5.71 tff(16607,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16608,plain,
% 7.92/5.71 (((~m_main_v_state(s245, c_busy)) | (~always3(s245))) <=> ((~always3(s245)) | (~m_main_v_state(s245, c_busy)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16609,plain,
% 7.92/5.71 (((~![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))))),
% 7.92/5.71 inference(monotonicity,[status(thm)],[16608])).
% 7.92/5.71 tff(16610,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(transitivity,[status(thm)],[16609, 16607])).
% 7.92/5.71 tff(16611,plain,
% 7.92/5.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s245, c_busy)) | (~always3(s245)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16612,plain,
% 7.92/5.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s245)) | (~m_main_v_state(s245, c_busy))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16611, 16610])).
% 7.92/5.71 tff(16613,plain,
% 7.92/5.71 (~m_main_v_state(s245, c_busy)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16612, 72, 16606])).
% 7.92/5.71 tff(16614,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16615,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s244, s245)) | node2(s244, s245))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16616,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s244, s245)) | node2(s244, s245)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16615, 16614])).
% 7.92/5.71 tff(16617,plain,
% 7.92/5.71 (node2(s244, s245)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16616, 7, 16601])).
% 7.92/5.71 tff(16618,plain,
% 7.92/5.71 (((~![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(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)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16619,plain,
% 7.92/5.71 ((~![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(s244, c_ready)) | (~node2(s244, s245)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16620,plain,
% 7.92/5.71 ((~![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(s244, c_ready)) | (~node2(s244, s245)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16619, 16618])).
% 7.92/5.71 tff(16621,plain,
% 7.92/5.71 ((~m_main_v_state(s244, c_ready)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244))),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16620, 60, 16617])).
% 7.92/5.71 tff(16622,plain,
% 7.92/5.71 (~m_main_v_state(s244, c_ready)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16621, 16613, 16590])).
% 7.92/5.71 tff(16623,plain,
% 7.92/5.71 (~m_main_v_state(s244, c_busy)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16556, 72, 16594])).
% 7.92/5.71 tff(16624,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16625,plain,
% 7.92/5.71 ((~![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))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16626,plain,
% 7.92/5.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s244, c_busy) | m_main_v_state(s244, c_ready)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16625, 16624])).
% 7.92/5.71 tff(16627,plain,
% 7.92/5.71 ($false),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16626, 89, 16623, 16622])).
% 7.92/5.71 tff(16628,plain,(~node4(s244)), inference(lemma,lemma(discharge,[]))).
% 7.92/5.71 tff(16629,plain,
% 7.92/5.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s244) | node4(s244) | (~until5(s244)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s244) | node4(s244) | (~until5(s244)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16630,plain,
% 7.92/5.71 ((node4(s244) | (~until5(s244)) | xuntil6(s244)) <=> (xuntil6(s244) | node4(s244) | (~until5(s244)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16631,plain,
% 7.92/5.71 (((~![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))))),
% 7.92/5.71 inference(monotonicity,[status(thm)],[16630])).
% 7.92/5.71 tff(16632,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(transitivity,[status(thm)],[16631, 16629])).
% 7.92/5.71 tff(16633,plain,
% 7.92/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s244) | (~until5(s244)) | xuntil6(s244))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16634,plain,
% 7.92/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s244) | node4(s244) | (~until5(s244))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16633, 16632])).
% 7.92/5.71 tff(16635,plain,
% 7.92/5.71 (xuntil6(s244) | (~until5(s244))),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16634, 352, 16628])).
% 7.92/5.71 tff(16636,plain,
% 7.92/5.71 (xuntil6(s244)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16635, 16585])).
% 7.92/5.71 tff(16637,plain,
% 7.92/5.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s244, s245)) | (~xuntil6(s244)) | until5(s245))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s244, s245)) | (~xuntil6(s244)) | until5(s245))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16638,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s244, s245)) | (~xuntil6(s244)) | until5(s245))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16639,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s244, s245)) | (~xuntil6(s244)) | until5(s245)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16638, 16637])).
% 7.92/5.71 tff(16640,plain,
% 7.92/5.71 ((~xuntil6(s244)) | until5(s245)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16639, 16597, 370])).
% 7.92/5.71 tff(16641,plain,
% 7.92/5.71 (until5(s245)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16640, 16636])).
% 7.92/5.71 tff(16642,assumption,(node4(s245)), introduced(assumption)).
% 7.92/5.71 tff(16643,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16644,plain,
% 7.92/5.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s245) | (~node4(s245)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16645,plain,
% 7.92/5.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s245) | (~node4(s245))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16644, 16643])).
% 7.92/5.71 tff(16646,plain,
% 7.92/5.71 (m_main_v_request(s245)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16645, 28, 16642])).
% 7.92/5.71 tff(16647,plain,
% 7.92/5.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s245) | (~node4(s245)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s245) | (~node4(s245)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16648,plain,
% 7.92/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s245) | (~node4(s245)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16649,plain,
% 7.92/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s245) | (~node4(s245))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16648, 16647])).
% 7.92/5.71 tff(16650,plain,
% 7.92/5.71 (always3(s245)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16649, 16, 16642])).
% 7.92/5.71 tff(16651,plain,
% 7.92/5.71 (succ(s245, s246) <=> succ(s245, s246)),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16652,axiom,(succ(s245, s246)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound246')).
% 7.92/5.71 tff(16653,plain,
% 7.92/5.71 (succ(s245, s246)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16652, 16651])).
% 7.92/5.71 tff(16654,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16655,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s245, s246)) | trans(s245, s246))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16656,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s245, s246)) | trans(s245, s246)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16655, 16654])).
% 7.92/5.71 tff(16657,plain,
% 7.92/5.71 (trans(s245, s246)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16656, 16653, 39])).
% 7.92/5.71 tff(16658,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16659,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s245, s246)) | (~always3(s245)) | always3(s246))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16660,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s245, s246)) | (~always3(s245)) | always3(s246)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16659, 16658])).
% 7.92/5.71 tff(16661,plain,
% 7.92/5.71 ((~always3(s245)) | always3(s246)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16660, 112, 16657])).
% 7.92/5.71 tff(16662,plain,
% 7.92/5.71 (always3(s246)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16661, 16650])).
% 7.92/5.71 tff(16663,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16664,plain,
% 7.92/5.71 (((~m_main_v_state(s246, c_busy)) | (~always3(s246))) <=> ((~always3(s246)) | (~m_main_v_state(s246, c_busy)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16665,plain,
% 7.92/5.71 (((~![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))))),
% 7.92/5.71 inference(monotonicity,[status(thm)],[16664])).
% 7.92/5.71 tff(16666,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(transitivity,[status(thm)],[16665, 16663])).
% 7.92/5.71 tff(16667,plain,
% 7.92/5.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s246, c_busy)) | (~always3(s246)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16668,plain,
% 7.92/5.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s246)) | (~m_main_v_state(s246, c_busy))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16667, 16666])).
% 7.92/5.71 tff(16669,plain,
% 7.92/5.71 (~m_main_v_state(s246, c_busy)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16668, 72, 16662])).
% 7.92/5.71 tff(16670,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16671,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s245, s246)) | node2(s245, s246))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16672,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s245, s246)) | node2(s245, s246)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16671, 16670])).
% 7.92/5.71 tff(16673,plain,
% 7.92/5.71 (node2(s245, s246)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16672, 7, 16657])).
% 7.92/5.71 tff(16674,plain,
% 7.92/5.71 (((~![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(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)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16675,plain,
% 7.92/5.71 ((~![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(s245, c_ready)) | (~node2(s245, s246)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16676,plain,
% 7.92/5.71 ((~![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(s245, c_ready)) | (~node2(s245, s246)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16675, 16674])).
% 7.92/5.71 tff(16677,plain,
% 7.92/5.71 ((~m_main_v_state(s245, c_ready)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245))),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16676, 60, 16673])).
% 7.92/5.71 tff(16678,plain,
% 7.92/5.71 (~m_main_v_state(s245, c_ready)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16677, 16669, 16646])).
% 7.92/5.71 tff(16679,plain,
% 7.92/5.71 (~m_main_v_state(s245, c_busy)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16612, 72, 16650])).
% 7.92/5.71 tff(16680,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16681,plain,
% 7.92/5.71 ((~![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))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16682,plain,
% 7.92/5.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s245, c_busy) | m_main_v_state(s245, c_ready)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16681, 16680])).
% 7.92/5.71 tff(16683,plain,
% 7.92/5.71 ($false),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16682, 89, 16679, 16678])).
% 7.92/5.71 tff(16684,plain,(~node4(s245)), inference(lemma,lemma(discharge,[]))).
% 7.92/5.71 tff(16685,plain,
% 7.92/5.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s245) | node4(s245) | (~until5(s245)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s245) | node4(s245) | (~until5(s245)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16686,plain,
% 7.92/5.71 ((node4(s245) | (~until5(s245)) | xuntil6(s245)) <=> (xuntil6(s245) | node4(s245) | (~until5(s245)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16687,plain,
% 7.92/5.71 (((~![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))))),
% 7.92/5.71 inference(monotonicity,[status(thm)],[16686])).
% 7.92/5.71 tff(16688,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(transitivity,[status(thm)],[16687, 16685])).
% 7.92/5.71 tff(16689,plain,
% 7.92/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s245) | (~until5(s245)) | xuntil6(s245))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16690,plain,
% 7.92/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s245) | node4(s245) | (~until5(s245))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16689, 16688])).
% 7.92/5.71 tff(16691,plain,
% 7.92/5.71 (xuntil6(s245) | (~until5(s245))),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16690, 352, 16684])).
% 7.92/5.71 tff(16692,plain,
% 7.92/5.71 (xuntil6(s245)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16691, 16641])).
% 7.92/5.71 tff(16693,plain,
% 7.92/5.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s245, s246)) | (~xuntil6(s245)) | until5(s246))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s245, s246)) | (~xuntil6(s245)) | until5(s246))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16694,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s245, s246)) | (~xuntil6(s245)) | until5(s246))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16695,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s245, s246)) | (~xuntil6(s245)) | until5(s246)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16694, 16693])).
% 7.92/5.71 tff(16696,plain,
% 7.92/5.71 ((~xuntil6(s245)) | until5(s246)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16695, 16653, 370])).
% 7.92/5.71 tff(16697,plain,
% 7.92/5.71 (until5(s246)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16696, 16692])).
% 7.92/5.71 tff(16698,assumption,(node4(s246)), introduced(assumption)).
% 7.92/5.71 tff(16699,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16700,plain,
% 7.92/5.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s246) | (~node4(s246)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16701,plain,
% 7.92/5.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s246) | (~node4(s246))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16700, 16699])).
% 7.92/5.71 tff(16702,plain,
% 7.92/5.71 (m_main_v_request(s246)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16701, 28, 16698])).
% 7.92/5.71 tff(16703,plain,
% 7.92/5.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s246) | (~node4(s246)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s246) | (~node4(s246)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16704,plain,
% 7.92/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s246) | (~node4(s246)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16705,plain,
% 7.92/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s246) | (~node4(s246))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16704, 16703])).
% 7.92/5.71 tff(16706,plain,
% 7.92/5.71 (always3(s246)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16705, 16, 16698])).
% 7.92/5.71 tff(16707,plain,
% 7.92/5.71 (succ(s246, s247) <=> succ(s246, s247)),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16708,axiom,(succ(s246, s247)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound247')).
% 7.92/5.71 tff(16709,plain,
% 7.92/5.71 (succ(s246, s247)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16708, 16707])).
% 7.92/5.71 tff(16710,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16711,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s246, s247)) | trans(s246, s247))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16712,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s246, s247)) | trans(s246, s247)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16711, 16710])).
% 7.92/5.71 tff(16713,plain,
% 7.92/5.71 (trans(s246, s247)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16712, 16709, 39])).
% 7.92/5.71 tff(16714,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16715,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s246, s247)) | (~always3(s246)) | always3(s247))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16716,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s246, s247)) | (~always3(s246)) | always3(s247)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16715, 16714])).
% 7.92/5.71 tff(16717,plain,
% 7.92/5.71 ((~always3(s246)) | always3(s247)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16716, 112, 16713])).
% 7.92/5.71 tff(16718,plain,
% 7.92/5.71 (always3(s247)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16717, 16706])).
% 7.92/5.71 tff(16719,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16720,plain,
% 7.92/5.71 (((~m_main_v_state(s247, c_busy)) | (~always3(s247))) <=> ((~always3(s247)) | (~m_main_v_state(s247, c_busy)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16721,plain,
% 7.92/5.71 (((~![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))))),
% 7.92/5.71 inference(monotonicity,[status(thm)],[16720])).
% 7.92/5.71 tff(16722,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(transitivity,[status(thm)],[16721, 16719])).
% 7.92/5.71 tff(16723,plain,
% 7.92/5.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s247, c_busy)) | (~always3(s247)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16724,plain,
% 7.92/5.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s247)) | (~m_main_v_state(s247, c_busy))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16723, 16722])).
% 7.92/5.71 tff(16725,plain,
% 7.92/5.71 (~m_main_v_state(s247, c_busy)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16724, 72, 16718])).
% 7.92/5.71 tff(16726,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16727,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s246, s247)) | node2(s246, s247))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16728,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s246, s247)) | node2(s246, s247)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16727, 16726])).
% 7.92/5.71 tff(16729,plain,
% 7.92/5.71 (node2(s246, s247)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16728, 7, 16713])).
% 7.92/5.71 tff(16730,plain,
% 7.92/5.71 (((~![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(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)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16731,plain,
% 7.92/5.71 ((~![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(s246, c_ready)) | (~node2(s246, s247)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16732,plain,
% 7.92/5.71 ((~![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(s246, c_ready)) | (~node2(s246, s247)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16731, 16730])).
% 7.92/5.71 tff(16733,plain,
% 7.92/5.71 ((~m_main_v_state(s246, c_ready)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246))),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16732, 60, 16729])).
% 7.92/5.71 tff(16734,plain,
% 7.92/5.71 (~m_main_v_state(s246, c_ready)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16733, 16725, 16702])).
% 7.92/5.71 tff(16735,plain,
% 7.92/5.71 (~m_main_v_state(s246, c_busy)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16668, 72, 16706])).
% 7.92/5.71 tff(16736,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16737,plain,
% 7.92/5.71 ((~![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))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16738,plain,
% 7.92/5.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s246, c_busy) | m_main_v_state(s246, c_ready)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16737, 16736])).
% 7.92/5.71 tff(16739,plain,
% 7.92/5.71 ($false),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16738, 89, 16735, 16734])).
% 7.92/5.71 tff(16740,plain,(~node4(s246)), inference(lemma,lemma(discharge,[]))).
% 7.92/5.71 tff(16741,plain,
% 7.92/5.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s246) | node4(s246) | (~until5(s246)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s246) | node4(s246) | (~until5(s246)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16742,plain,
% 7.92/5.71 ((node4(s246) | (~until5(s246)) | xuntil6(s246)) <=> (xuntil6(s246) | node4(s246) | (~until5(s246)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16743,plain,
% 7.92/5.71 (((~![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))))),
% 7.92/5.71 inference(monotonicity,[status(thm)],[16742])).
% 7.92/5.71 tff(16744,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(transitivity,[status(thm)],[16743, 16741])).
% 7.92/5.71 tff(16745,plain,
% 7.92/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s246) | (~until5(s246)) | xuntil6(s246))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16746,plain,
% 7.92/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s246) | node4(s246) | (~until5(s246))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16745, 16744])).
% 7.92/5.71 tff(16747,plain,
% 7.92/5.71 (xuntil6(s246) | (~until5(s246))),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16746, 352, 16740])).
% 7.92/5.71 tff(16748,plain,
% 7.92/5.71 (xuntil6(s246)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16747, 16697])).
% 7.92/5.71 tff(16749,plain,
% 7.92/5.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s246, s247)) | (~xuntil6(s246)) | until5(s247))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s246, s247)) | (~xuntil6(s246)) | until5(s247))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16750,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s246, s247)) | (~xuntil6(s246)) | until5(s247))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16751,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s246, s247)) | (~xuntil6(s246)) | until5(s247)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16750, 16749])).
% 7.92/5.71 tff(16752,plain,
% 7.92/5.71 ((~xuntil6(s246)) | until5(s247)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16751, 16709, 370])).
% 7.92/5.71 tff(16753,plain,
% 7.92/5.71 (until5(s247)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16752, 16748])).
% 7.92/5.71 tff(16754,assumption,(node4(s247)), introduced(assumption)).
% 7.92/5.71 tff(16755,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16756,plain,
% 7.92/5.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s247) | (~node4(s247)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16757,plain,
% 7.92/5.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s247) | (~node4(s247))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16756, 16755])).
% 7.92/5.71 tff(16758,plain,
% 7.92/5.71 (m_main_v_request(s247)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16757, 28, 16754])).
% 7.92/5.71 tff(16759,plain,
% 7.92/5.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s247) | (~node4(s247)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s247) | (~node4(s247)))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16760,plain,
% 7.92/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s247) | (~node4(s247)))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16761,plain,
% 7.92/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s247) | (~node4(s247))),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16760, 16759])).
% 7.92/5.71 tff(16762,plain,
% 7.92/5.71 (always3(s247)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16761, 16, 16754])).
% 7.92/5.71 tff(16763,plain,
% 7.92/5.71 (succ(s247, s248) <=> succ(s247, s248)),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16764,axiom,(succ(s247, s248)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound248')).
% 7.92/5.71 tff(16765,plain,
% 7.92/5.71 (succ(s247, s248)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16764, 16763])).
% 7.92/5.71 tff(16766,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16767,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s247, s248)) | trans(s247, s248))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16768,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s247, s248)) | trans(s247, s248)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16767, 16766])).
% 7.92/5.71 tff(16769,plain,
% 7.92/5.71 (trans(s247, s248)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16768, 16765, 39])).
% 7.92/5.71 tff(16770,plain,
% 7.92/5.71 (((~![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))),
% 7.92/5.71 inference(rewrite,[status(thm)],[])).
% 7.92/5.71 tff(16771,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s247, s248)) | (~always3(s247)) | always3(s248))),
% 7.92/5.71 inference(quant_inst,[status(thm)],[])).
% 7.92/5.71 tff(16772,plain,
% 7.92/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s247, s248)) | (~always3(s247)) | always3(s248)),
% 7.92/5.71 inference(modus_ponens,[status(thm)],[16771, 16770])).
% 7.92/5.71 tff(16773,plain,
% 7.92/5.71 ((~always3(s247)) | always3(s248)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16772, 112, 16769])).
% 7.92/5.71 tff(16774,plain,
% 7.92/5.71 (always3(s248)),
% 7.92/5.71 inference(unit_resolution,[status(thm)],[16773, 16762])).
% 7.92/5.71 tff(16775,plain,
% 7.92/5.71 (((~![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)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16776,plain,
% 7.92/5.72 (((~m_main_v_state(s248, c_busy)) | (~always3(s248))) <=> ((~always3(s248)) | (~m_main_v_state(s248, c_busy)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16777,plain,
% 7.92/5.72 (((~![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))))),
% 7.92/5.72 inference(monotonicity,[status(thm)],[16776])).
% 7.92/5.72 tff(16778,plain,
% 7.92/5.72 (((~![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)))),
% 7.92/5.72 inference(transitivity,[status(thm)],[16777, 16775])).
% 7.92/5.72 tff(16779,plain,
% 7.92/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s248, c_busy)) | (~always3(s248)))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16780,plain,
% 7.92/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s248)) | (~m_main_v_state(s248, c_busy))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16779, 16778])).
% 7.92/5.72 tff(16781,plain,
% 7.92/5.72 (~m_main_v_state(s248, c_busy)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16780, 72, 16774])).
% 7.92/5.72 tff(16782,plain,
% 7.92/5.72 (((~![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))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16783,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s247, s248)) | node2(s247, s248))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16784,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s247, s248)) | node2(s247, s248)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16783, 16782])).
% 7.92/5.72 tff(16785,plain,
% 7.92/5.72 (node2(s247, s248)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16784, 7, 16769])).
% 7.92/5.72 tff(16786,plain,
% 7.92/5.72 (((~![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(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)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16787,plain,
% 7.92/5.72 ((~![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(s247, c_ready)) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247)))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16788,plain,
% 7.92/5.72 ((~![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(s247, c_ready)) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16787, 16786])).
% 7.92/5.72 tff(16789,plain,
% 7.92/5.72 ((~m_main_v_state(s247, c_ready)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247))),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16788, 60, 16785])).
% 7.92/5.72 tff(16790,plain,
% 7.92/5.72 (~m_main_v_state(s247, c_ready)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16789, 16781, 16758])).
% 7.92/5.72 tff(16791,plain,
% 7.92/5.72 (~m_main_v_state(s247, c_busy)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16724, 72, 16762])).
% 7.92/5.72 tff(16792,plain,
% 7.92/5.72 (((~![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))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16793,plain,
% 7.92/5.72 ((~![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))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16794,plain,
% 7.92/5.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s247, c_busy) | m_main_v_state(s247, c_ready)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16793, 16792])).
% 7.92/5.72 tff(16795,plain,
% 7.92/5.72 ($false),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16794, 89, 16791, 16790])).
% 7.92/5.72 tff(16796,plain,(~node4(s247)), inference(lemma,lemma(discharge,[]))).
% 7.92/5.72 tff(16797,plain,
% 7.92/5.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s247) | node4(s247) | (~until5(s247)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s247) | node4(s247) | (~until5(s247)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16798,plain,
% 7.92/5.72 ((node4(s247) | (~until5(s247)) | xuntil6(s247)) <=> (xuntil6(s247) | node4(s247) | (~until5(s247)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16799,plain,
% 7.92/5.72 (((~![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))))),
% 7.92/5.72 inference(monotonicity,[status(thm)],[16798])).
% 7.92/5.72 tff(16800,plain,
% 7.92/5.72 (((~![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)))),
% 7.92/5.72 inference(transitivity,[status(thm)],[16799, 16797])).
% 7.92/5.72 tff(16801,plain,
% 7.92/5.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s247) | (~until5(s247)) | xuntil6(s247))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16802,plain,
% 7.92/5.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s247) | node4(s247) | (~until5(s247))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16801, 16800])).
% 7.92/5.72 tff(16803,plain,
% 7.92/5.72 (xuntil6(s247) | (~until5(s247))),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16802, 352, 16796])).
% 7.92/5.72 tff(16804,plain,
% 7.92/5.72 (xuntil6(s247)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16803, 16753])).
% 7.92/5.72 tff(16805,plain,
% 7.92/5.72 (((~![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))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16806,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s247, s248)) | (~xuntil6(s247)) | until5(s248))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16807,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s247, s248)) | (~xuntil6(s247)) | until5(s248)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16806, 16805])).
% 7.92/5.72 tff(16808,plain,
% 7.92/5.72 ((~xuntil6(s247)) | until5(s248)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16807, 16765, 370])).
% 7.92/5.72 tff(16809,plain,
% 7.92/5.72 (until5(s248)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16808, 16804])).
% 7.92/5.72 tff(16810,assumption,(~xuntil6(s248)), introduced(assumption)).
% 7.92/5.72 tff(16811,assumption,(~always3(s248)), introduced(assumption)).
% 7.92/5.72 tff(16812,plain,
% 7.92/5.72 (~always3(s247)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16773, 16811])).
% 7.92/5.72 tff(16813,plain,
% 7.92/5.72 (~always3(s246)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16717, 16812])).
% 7.92/5.72 tff(16814,plain,
% 7.92/5.72 (~always3(s245)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16661, 16813])).
% 7.92/5.72 tff(16815,plain,
% 7.92/5.72 (~always3(s244)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16605, 16814])).
% 7.92/5.72 tff(16816,plain,
% 7.92/5.72 (~always3(s243)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16549, 16815])).
% 7.92/5.72 tff(16817,plain,
% 7.92/5.72 (~node4(s243)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16537, 16, 16816])).
% 7.92/5.72 tff(16818,plain,
% 7.92/5.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s248) | (~node4(s248)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s248) | (~node4(s248)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16819,plain,
% 7.92/5.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s248) | (~node4(s248)))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16820,plain,
% 7.92/5.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s248) | (~node4(s248))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16819, 16818])).
% 7.92/5.72 tff(16821,plain,
% 7.92/5.72 (~node4(s248)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16820, 16, 16811])).
% 7.92/5.72 tff(16822,plain,
% 7.92/5.72 (((~![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)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16823,plain,
% 7.92/5.72 ((node4(s248) | (~until5(s248)) | xuntil6(s248)) <=> (xuntil6(s248) | node4(s248) | (~until5(s248)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16824,plain,
% 7.92/5.72 (((~![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))))),
% 7.92/5.72 inference(monotonicity,[status(thm)],[16823])).
% 7.92/5.72 tff(16825,plain,
% 7.92/5.72 (((~![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)))),
% 7.92/5.72 inference(transitivity,[status(thm)],[16824, 16822])).
% 7.92/5.72 tff(16826,plain,
% 7.92/5.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s248) | (~until5(s248)) | xuntil6(s248))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16827,plain,
% 7.92/5.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s248) | node4(s248) | (~until5(s248))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16826, 16825])).
% 7.92/5.72 tff(16828,plain,
% 7.92/5.72 (node4(s248) | (~until5(s248))),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16827, 352, 16810])).
% 7.92/5.72 tff(16829,plain,
% 7.92/5.72 (~until5(s248)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16828, 16821])).
% 7.92/5.72 tff(16830,plain,
% 7.92/5.72 (~xuntil6(s247)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16808, 16829])).
% 7.92/5.72 tff(16831,plain,
% 7.92/5.72 (~until5(s247)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16803, 16830])).
% 7.92/5.72 tff(16832,plain,
% 7.92/5.72 (~xuntil6(s246)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16752, 16831])).
% 7.92/5.72 tff(16833,plain,
% 7.92/5.72 (~until5(s246)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16747, 16832])).
% 7.92/5.72 tff(16834,plain,
% 7.92/5.72 (~xuntil6(s245)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16696, 16833])).
% 7.92/5.72 tff(16835,plain,
% 7.92/5.72 (~until5(s245)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16691, 16834])).
% 7.92/5.72 tff(16836,plain,
% 7.92/5.72 (~xuntil6(s244)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16640, 16835])).
% 7.92/5.72 tff(16837,plain,
% 7.92/5.72 (~until5(s244)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16635, 16836])).
% 7.92/5.72 tff(16838,plain,
% 7.92/5.72 (~xuntil6(s243)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16584, 16837])).
% 7.92/5.72 tff(16839,plain,
% 7.92/5.72 (~until5(s243)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16578, 352, 16838, 16817])).
% 7.92/5.72 tff(16840,plain,
% 7.92/5.72 (~xuntil6(s242)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16528, 16839])).
% 7.92/5.72 tff(16841,plain,
% 7.92/5.72 (~until5(s242)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16523, 16840])).
% 7.92/5.72 tff(16842,plain,
% 7.92/5.72 (~xuntil6(s241)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16472, 16841])).
% 7.92/5.72 tff(16843,plain,
% 7.92/5.72 (~until5(s241)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16467, 16842])).
% 7.92/5.72 tff(16844,plain,
% 7.92/5.72 (~xuntil6(s240)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16416, 16843])).
% 7.92/5.72 tff(16845,plain,
% 7.92/5.72 (~until5(s240)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16411, 16844])).
% 7.92/5.72 tff(16846,plain,
% 7.92/5.72 (~xuntil6(s239)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16360, 16845])).
% 7.92/5.72 tff(16847,plain,
% 7.92/5.72 (~until5(s239)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16355, 16846])).
% 7.92/5.72 tff(16848,plain,
% 7.92/5.72 (~xuntil6(s238)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16304, 16847])).
% 7.92/5.72 tff(16849,plain,
% 7.92/5.72 (~always3(s242)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16493, 16816])).
% 7.92/5.72 tff(16850,plain,
% 7.92/5.72 (~always3(s241)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16437, 16849])).
% 7.92/5.72 tff(16851,plain,
% 7.92/5.72 (~always3(s240)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16381, 16850])).
% 7.92/5.72 tff(16852,plain,
% 7.92/5.72 (~always3(s239)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16325, 16851])).
% 7.92/5.72 tff(16853,plain,
% 7.92/5.72 (~always3(s238)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16269, 16852])).
% 7.92/5.72 tff(16854,plain,
% 7.92/5.72 (~node4(s238)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16197, 16, 16853])).
% 7.92/5.72 tff(16855,plain,
% 7.92/5.72 (xuntil6(s238) | (~until5(s238))),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16204, 352, 16854])).
% 7.92/5.72 tff(16856,plain,
% 7.92/5.72 (~until5(s238)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16855, 16848])).
% 7.92/5.72 tff(16857,plain,
% 7.92/5.72 (~xuntil6(s237)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16185, 16856])).
% 7.92/5.72 tff(16858,plain,
% 7.92/5.72 (~until5(s237)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16180, 16857])).
% 7.92/5.72 tff(16859,plain,
% 7.92/5.72 (~xuntil6(s236)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16129, 16858])).
% 7.92/5.72 tff(16860,plain,
% 7.92/5.72 (~until5(s236)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16124, 16859])).
% 7.92/5.72 tff(16861,plain,
% 7.92/5.72 (~always3(s237)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16150, 16853])).
% 7.92/5.72 tff(16862,plain,
% 7.92/5.72 (~always3(s236)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16094, 16861])).
% 7.92/5.72 tff(16863,plain,
% 7.92/5.72 (~always3(s235)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16038, 16862])).
% 7.92/5.72 tff(16864,plain,
% 7.92/5.72 (~always3(s234)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15982, 16863])).
% 7.92/5.72 tff(16865,plain,
% 7.92/5.72 (~always3(s233)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15926, 16864])).
% 7.92/5.72 tff(16866,plain,
% 7.92/5.72 (~always3(s232)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15759, 16865])).
% 7.92/5.72 tff(16867,plain,
% 7.92/5.72 (~always3(s231)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15550, 16866])).
% 7.92/5.72 tff(16868,plain,
% 7.92/5.72 (~always3(s230)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15562, 16867])).
% 7.92/5.72 tff(16869,plain,
% 7.92/5.72 (~always3(s229)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15574, 16868])).
% 7.92/5.72 tff(16870,plain,
% 7.92/5.72 (~always3(s228)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15710, 16869])).
% 7.92/5.72 tff(16871,plain,
% 7.92/5.72 (~node4(s228)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15714, 16, 16870])).
% 7.92/5.72 tff(16872,plain,
% 7.92/5.72 (~always3(s227)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15522, 16870])).
% 7.92/5.72 tff(16873,plain,
% 7.92/5.72 (~node4(s227)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15719, 16, 16872])).
% 7.92/5.72 tff(16874,plain,
% 7.92/5.72 (~always3(s226)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15473, 16872])).
% 7.92/5.72 tff(16875,plain,
% 7.92/5.72 (~always3(s225)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15417, 16874])).
% 7.92/5.72 tff(16876,plain,
% 7.92/5.72 (~always3(s224)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15361, 16875])).
% 7.92/5.72 tff(16877,plain,
% 7.92/5.72 (~always3(s223)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15305, 16876])).
% 7.92/5.72 tff(16878,plain,
% 7.92/5.72 (~always3(s222)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15255, 16877])).
% 7.92/5.72 tff(16879,plain,
% 7.92/5.72 (xuntil6(s222)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15201, 16878])).
% 7.92/5.72 tff(16880,plain,
% 7.92/5.72 (until5(s223)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15284, 16879])).
% 7.92/5.72 tff(16881,plain,
% 7.92/5.72 (xuntil6(s223)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15335, 16880])).
% 7.92/5.72 tff(16882,plain,
% 7.92/5.72 (until5(s224)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15340, 16881])).
% 7.92/5.72 tff(16883,plain,
% 7.92/5.72 (xuntil6(s224)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15391, 16882])).
% 7.92/5.72 tff(16884,plain,
% 7.92/5.72 (until5(s225)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15396, 16883])).
% 7.92/5.72 tff(16885,plain,
% 7.92/5.72 (xuntil6(s225)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15447, 16884])).
% 7.92/5.72 tff(16886,plain,
% 7.92/5.72 (until5(s226)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15452, 16885])).
% 7.92/5.72 tff(16887,plain,
% 7.92/5.72 (xuntil6(s226)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15503, 16886])).
% 7.92/5.72 tff(16888,plain,
% 7.92/5.72 (until5(s227)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15508, 16887])).
% 7.92/5.72 tff(16889,plain,
% 7.92/5.72 (xuntil6(s227) | node4(s227)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15727, 352, 16888])).
% 7.92/5.72 tff(16890,plain,
% 7.92/5.72 (xuntil6(s227)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16889, 16873])).
% 7.92/5.72 tff(16891,plain,
% 7.92/5.72 (until5(s228)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15733, 16890])).
% 7.92/5.72 tff(16892,plain,
% 7.92/5.72 (xuntil6(s228)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15740, 352, 16891, 16871])).
% 7.92/5.72 tff(16893,plain,
% 7.92/5.72 (until5(s229)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15745, 16892])).
% 7.92/5.72 tff(16894,plain,
% 7.92/5.72 (~node4(s229)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15578, 16, 16869])).
% 7.92/5.72 tff(16895,plain,
% 7.92/5.72 (xuntil6(s229) | (~until5(s229))),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15698, 352, 16894])).
% 7.92/5.72 tff(16896,plain,
% 7.92/5.72 (xuntil6(s229)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16895, 16893])).
% 7.92/5.72 tff(16897,plain,
% 7.92/5.72 (until5(s230)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15691, 16896])).
% 7.92/5.72 tff(16898,plain,
% 7.92/5.72 (xuntil6(s230)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15686, 16897])).
% 7.92/5.72 tff(16899,plain,
% 7.92/5.72 (until5(s231)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15646, 16898])).
% 7.92/5.72 tff(16900,plain,
% 7.92/5.72 (xuntil6(s231)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15641, 16899])).
% 7.92/5.72 tff(16901,plain,
% 7.92/5.72 (until5(s232)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15595, 16900])).
% 7.92/5.72 tff(16902,plain,
% 7.92/5.72 (~node4(s232)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15582, 16, 16866])).
% 7.92/5.72 tff(16903,plain,
% 7.92/5.72 (xuntil6(s232) | (~until5(s232))),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15589, 352, 16902])).
% 7.92/5.72 tff(16904,plain,
% 7.92/5.72 (xuntil6(s232)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16903, 16901])).
% 7.92/5.72 tff(16905,plain,
% 7.92/5.72 (until5(s233)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15905, 16904])).
% 7.92/5.72 tff(16906,plain,
% 7.92/5.72 (~node4(s233)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15914, 16, 16865])).
% 7.92/5.72 tff(16907,plain,
% 7.92/5.72 (xuntil6(s233) | (~until5(s233))),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15955, 352, 16906])).
% 7.92/5.72 tff(16908,plain,
% 7.92/5.72 (xuntil6(s233)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16907, 16905])).
% 7.92/5.72 tff(16909,plain,
% 7.92/5.72 (until5(s234)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[15961, 16908])).
% 7.92/5.72 tff(16910,plain,
% 7.92/5.72 (xuntil6(s234)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16012, 16909])).
% 7.92/5.72 tff(16911,plain,
% 7.92/5.72 (until5(s235)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16017, 16910])).
% 7.92/5.72 tff(16912,plain,
% 7.92/5.72 (xuntil6(s235)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16068, 16911])).
% 7.92/5.72 tff(16913,plain,
% 7.92/5.72 ($false),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16073, 16912, 16860])).
% 7.92/5.72 tff(16914,plain,(always3(s248) | xuntil6(s248)), inference(lemma,lemma(discharge,[]))).
% 7.92/5.72 tff(16915,plain,
% 7.92/5.72 (always3(s248)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16914, 16810])).
% 7.92/5.72 tff(16916,plain,
% 7.92/5.72 (succ(s248, s249) <=> succ(s248, s249)),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16917,axiom,(succ(s248, s249)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound249')).
% 7.92/5.72 tff(16918,plain,
% 7.92/5.72 (succ(s248, s249)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16917, 16916])).
% 7.92/5.72 tff(16919,plain,
% 7.92/5.72 (((~![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))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16920,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s248, s249)) | trans(s248, s249))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16921,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s248, s249)) | trans(s248, s249)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16920, 16919])).
% 7.92/5.72 tff(16922,plain,
% 7.92/5.72 (trans(s248, s249)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16921, 16918, 39])).
% 7.92/5.72 tff(16923,plain,
% 7.92/5.72 (((~![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))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16924,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s248, s249)) | (~always3(s248)) | always3(s249))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16925,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s248, s249)) | (~always3(s248)) | always3(s249)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16924, 16923])).
% 7.92/5.72 tff(16926,plain,
% 7.92/5.72 ((~always3(s248)) | always3(s249)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16925, 112, 16922])).
% 7.92/5.72 tff(16927,plain,
% 7.92/5.72 (always3(s249)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16926, 16915])).
% 7.92/5.72 tff(16928,plain,
% 7.92/5.72 (((~![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)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16929,plain,
% 7.92/5.72 (((~m_main_v_state(s249, c_busy)) | (~always3(s249))) <=> ((~always3(s249)) | (~m_main_v_state(s249, c_busy)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16930,plain,
% 7.92/5.72 (((~![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))))),
% 7.92/5.72 inference(monotonicity,[status(thm)],[16929])).
% 7.92/5.72 tff(16931,plain,
% 7.92/5.72 (((~![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)))),
% 7.92/5.72 inference(transitivity,[status(thm)],[16930, 16928])).
% 7.92/5.72 tff(16932,plain,
% 7.92/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s249, c_busy)) | (~always3(s249)))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16933,plain,
% 7.92/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s249)) | (~m_main_v_state(s249, c_busy))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16932, 16931])).
% 7.92/5.72 tff(16934,plain,
% 7.92/5.72 (~m_main_v_state(s249, c_busy)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16933, 72, 16927])).
% 7.92/5.72 tff(16935,assumption,(until5(s248)), introduced(assumption)).
% 7.92/5.72 tff(16936,plain,
% 7.92/5.72 (xuntil6(s248) | node4(s248)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16827, 352, 16935])).
% 7.92/5.72 tff(16937,plain,
% 7.92/5.72 (node4(s248)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16936, 16810])).
% 7.92/5.72 tff(16938,plain,
% 7.92/5.72 (((~![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)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16939,plain,
% 7.92/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s248) | (~node4(s248)))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16940,plain,
% 7.92/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s248) | (~node4(s248))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16939, 16938])).
% 7.92/5.72 tff(16941,plain,
% 7.92/5.72 (m_main_v_request(s248)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16940, 28, 16937])).
% 7.92/5.72 tff(16942,plain,
% 7.92/5.72 (((~![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))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16943,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s248, s249)) | node2(s248, s249))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16944,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s248, s249)) | node2(s248, s249)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16943, 16942])).
% 7.92/5.72 tff(16945,plain,
% 7.92/5.72 (node2(s248, s249)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16944, 7, 16922])).
% 7.92/5.72 tff(16946,plain,
% 7.92/5.72 (((~![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(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)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16947,plain,
% 7.92/5.72 ((~![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(s248, c_ready)) | (~node2(s248, s249)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248)))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16948,plain,
% 7.92/5.72 ((~![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(s248, c_ready)) | (~node2(s248, s249)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16947, 16946])).
% 7.92/5.72 tff(16949,plain,
% 7.92/5.72 ((~m_main_v_state(s248, c_ready)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248))),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16948, 60, 16945])).
% 7.92/5.72 tff(16950,plain,
% 7.92/5.72 (~m_main_v_state(s248, c_ready)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16949, 16941, 16934])).
% 7.92/5.72 tff(16951,plain,
% 7.92/5.72 (~m_main_v_state(s248, c_busy)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16780, 72, 16915])).
% 7.92/5.72 tff(16952,plain,
% 7.92/5.72 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s248, c_busy) | m_main_v_state(s248, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s248, c_busy) | m_main_v_state(s248, c_ready))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16953,plain,
% 7.92/5.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s248, c_busy) | m_main_v_state(s248, c_ready))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16954,plain,
% 7.92/5.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s248, c_busy) | m_main_v_state(s248, c_ready)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16953, 16952])).
% 7.92/5.72 tff(16955,plain,
% 7.92/5.72 ($false),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16954, 89, 16951, 16950])).
% 7.92/5.72 tff(16956,plain,(xuntil6(s248) | (~until5(s248))), inference(lemma,lemma(discharge,[]))).
% 7.92/5.72 tff(16957,plain,
% 7.92/5.72 (xuntil6(s248)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16956, 16809])).
% 7.92/5.72 tff(16958,plain,
% 7.92/5.72 (((~![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))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16959,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16960,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16959, 16958])).
% 7.92/5.72 tff(16961,plain,
% 7.92/5.72 ((~xuntil6(s248)) | until5(s249)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16960, 16918, 370])).
% 7.92/5.72 tff(16962,plain,
% 7.92/5.72 (until5(s249)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16961, 16957])).
% 7.92/5.72 tff(16963,assumption,(node4(s249)), introduced(assumption)).
% 7.92/5.72 tff(16964,plain,
% 7.92/5.72 (((~![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)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16965,plain,
% 7.92/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s249) | (~node4(s249)))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16966,plain,
% 7.92/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s249) | (~node4(s249))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 7.92/5.72 tff(16967,plain,
% 7.92/5.72 (m_main_v_request(s249)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16966, 28, 16963])).
% 7.92/5.72 tff(16968,plain,
% 7.92/5.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s249) | (~node4(s249)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s249) | (~node4(s249)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16969,plain,
% 7.92/5.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s249) | (~node4(s249)))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16970,plain,
% 7.92/5.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s249) | (~node4(s249))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16969, 16968])).
% 7.92/5.72 tff(16971,plain,
% 7.92/5.72 (always3(s249)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16970, 16, 16963])).
% 7.92/5.72 tff(16972,plain,
% 7.92/5.72 (succ(s249, s250) <=> succ(s249, s250)),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16973,axiom,(succ(s249, s250)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound250')).
% 7.92/5.72 tff(16974,plain,
% 7.92/5.72 (succ(s249, s250)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16973, 16972])).
% 7.92/5.72 tff(16975,plain,
% 7.92/5.72 (((~![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))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16976,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s249, s250)) | trans(s249, s250))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16977,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s249, s250)) | trans(s249, s250)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16976, 16975])).
% 7.92/5.72 tff(16978,plain,
% 7.92/5.72 (trans(s249, s250)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16977, 16974, 39])).
% 7.92/5.72 tff(16979,plain,
% 7.92/5.72 (((~![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))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16980,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s249, s250)) | (~always3(s249)) | always3(s250))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16981,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s249, s250)) | (~always3(s249)) | always3(s250)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16980, 16979])).
% 7.92/5.72 tff(16982,plain,
% 7.92/5.72 ((~always3(s249)) | always3(s250)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16981, 112, 16978])).
% 7.92/5.72 tff(16983,plain,
% 7.92/5.72 (always3(s250)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16982, 16971])).
% 7.92/5.72 tff(16984,plain,
% 7.92/5.72 (((~![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)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16985,plain,
% 7.92/5.72 (((~m_main_v_state(s250, c_busy)) | (~always3(s250))) <=> ((~always3(s250)) | (~m_main_v_state(s250, c_busy)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16986,plain,
% 7.92/5.72 (((~![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))))),
% 7.92/5.72 inference(monotonicity,[status(thm)],[16985])).
% 7.92/5.72 tff(16987,plain,
% 7.92/5.72 (((~![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)))),
% 7.92/5.72 inference(transitivity,[status(thm)],[16986, 16984])).
% 7.92/5.72 tff(16988,plain,
% 7.92/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s250, c_busy)) | (~always3(s250)))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16989,plain,
% 7.92/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s250)) | (~m_main_v_state(s250, c_busy))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16988, 16987])).
% 7.92/5.72 tff(16990,plain,
% 7.92/5.72 (~m_main_v_state(s250, c_busy)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16989, 72, 16983])).
% 7.92/5.72 tff(16991,plain,
% 7.92/5.72 (((~![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))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16992,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s249, s250)) | node2(s249, s250))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16993,plain,
% 7.92/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s249, s250)) | node2(s249, s250)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16992, 16991])).
% 7.92/5.72 tff(16994,plain,
% 7.92/5.72 (node2(s249, s250)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16993, 7, 16978])).
% 7.92/5.72 tff(16995,plain,
% 7.92/5.72 (((~![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(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)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(16996,plain,
% 7.92/5.72 ((~![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(s249, c_ready)) | (~node2(s249, s250)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249)))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(16997,plain,
% 7.92/5.72 ((~![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(s249, c_ready)) | (~node2(s249, s250)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249))),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[16996, 16995])).
% 7.92/5.72 tff(16998,plain,
% 7.92/5.72 ((~m_main_v_state(s249, c_ready)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249))),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16997, 60, 16994])).
% 7.92/5.72 tff(16999,plain,
% 7.92/5.72 (~m_main_v_state(s249, c_ready)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16998, 16990, 16967])).
% 7.92/5.72 tff(17000,plain,
% 7.92/5.72 (~m_main_v_state(s249, c_busy)),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[16933, 72, 16971])).
% 7.92/5.72 tff(17001,plain,
% 7.92/5.72 (((~![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))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(17002,plain,
% 7.92/5.72 ((~![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))),
% 7.92/5.72 inference(quant_inst,[status(thm)],[])).
% 7.92/5.72 tff(17003,plain,
% 7.92/5.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s249, c_busy) | m_main_v_state(s249, c_ready)),
% 7.92/5.72 inference(modus_ponens,[status(thm)],[17002, 17001])).
% 7.92/5.72 tff(17004,plain,
% 7.92/5.72 ($false),
% 7.92/5.72 inference(unit_resolution,[status(thm)],[17003, 89, 17000, 16999])).
% 7.92/5.72 tff(17005,plain,(~node4(s249)), inference(lemma,lemma(discharge,[]))).
% 7.92/5.72 tff(17006,plain,
% 7.92/5.72 (((~![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)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(17007,plain,
% 7.92/5.72 ((node4(s249) | (~until5(s249)) | xuntil6(s249)) <=> (xuntil6(s249) | node4(s249) | (~until5(s249)))),
% 7.92/5.72 inference(rewrite,[status(thm)],[])).
% 7.92/5.72 tff(17008,plain,
% 7.92/5.72 (((~![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))))),
% 7.92/5.72 inference(monotonicity,[status(thm)],[17007])).
% 7.92/5.73 tff(17009,plain,
% 7.92/5.73 (((~![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)))),
% 7.92/5.73 inference(transitivity,[status(thm)],[17008, 17006])).
% 7.92/5.73 tff(17010,plain,
% 7.92/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s249) | (~until5(s249)) | xuntil6(s249))),
% 7.92/5.73 inference(quant_inst,[status(thm)],[])).
% 7.92/5.73 tff(17011,plain,
% 7.92/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s249) | node4(s249) | (~until5(s249))),
% 7.92/5.73 inference(modus_ponens,[status(thm)],[17010, 17009])).
% 7.92/5.73 tff(17012,plain,
% 7.92/5.73 (xuntil6(s249) | (~until5(s249))),
% 7.92/5.73 inference(unit_resolution,[status(thm)],[17011, 352, 17005])).
% 7.92/5.73 tff(17013,plain,
% 7.92/5.73 (xuntil6(s249)),
% 7.92/5.73 inference(unit_resolution,[status(thm)],[17012, 16962])).
% 7.92/5.73 tff(17014,plain,
% 7.92/5.73 (((~![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))),
% 7.92/5.73 inference(rewrite,[status(thm)],[])).
% 7.92/5.73 tff(17015,plain,
% 7.92/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250))),
% 7.92/5.73 inference(quant_inst,[status(thm)],[])).
% 7.92/5.73 tff(17016,plain,
% 7.92/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250)),
% 7.92/5.73 inference(modus_ponens,[status(thm)],[17015, 17014])).
% 7.92/5.73 tff(17017,plain,
% 7.92/5.73 ((~xuntil6(s249)) | until5(s250)),
% 7.92/5.73 inference(unit_resolution,[status(thm)],[17016, 16974, 370])).
% 7.92/5.73 tff(17018,plain,
% 7.92/5.73 (until5(s250)),
% 7.92/5.73 inference(unit_resolution,[status(thm)],[17017, 17013])).
% 7.92/5.73 tff(17019,assumption,(node4(s250)), introduced(assumption)).
% 7.92/5.73 tff(17020,plain,
% 7.92/5.73 (((~![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)))),
% 7.92/5.73 inference(rewrite,[status(thm)],[])).
% 7.92/5.73 tff(17021,plain,
% 7.92/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s250) | (~node4(s250)))),
% 7.92/5.73 inference(quant_inst,[status(thm)],[])).
% 7.92/5.73 tff(17022,plain,
% 7.92/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s250) | (~node4(s250))),
% 7.92/5.73 inference(modus_ponens,[status(thm)],[17021, 17020])).
% 7.92/5.73 tff(17023,plain,
% 7.92/5.73 (m_main_v_request(s250)),
% 7.92/5.73 inference(unit_resolution,[status(thm)],[17022, 28, 17019])).
% 7.92/5.73 tff(17024,plain,
% 7.92/5.73 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s250) | (~node4(s250)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s250) | (~node4(s250)))),
% 7.92/5.73 inference(rewrite,[status(thm)],[])).
% 7.92/5.73 tff(17025,plain,
% 7.92/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s250) | (~node4(s250)))),
% 7.92/5.73 inference(quant_inst,[status(thm)],[])).
% 7.92/5.73 tff(17026,plain,
% 7.92/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s250) | (~node4(s250))),
% 7.92/5.73 inference(modus_ponens,[status(thm)],[17025, 17024])).
% 7.92/5.73 tff(17027,plain,
% 7.92/5.73 (always3(s250)),
% 7.92/5.73 inference(unit_resolution,[status(thm)],[17026, 16, 17019])).
% 7.92/5.73 tff(17028,plain,
% 7.92/5.73 (succ(s250, s251) <=> succ(s250, s251)),
% 7.92/5.73 inference(rewrite,[status(thm)],[])).
% 7.92/5.73 tff(17029,axiom,(succ(s250, s251)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound251')).
% 7.92/5.73 tff(17030,plain,
% 7.92/5.73 (succ(s250, s251)),
% 7.92/5.73 inference(modus_ponens,[status(thm)],[17029, 17028])).
% 7.92/5.73 tff(17031,plain,
% 7.92/5.73 (((~![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))),
% 7.92/5.73 inference(rewrite,[status(thm)],[])).
% 7.92/5.73 tff(17032,plain,
% 7.92/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s250, s251)) | trans(s250, s251))),
% 7.92/5.73 inference(quant_inst,[status(thm)],[])).
% 7.92/5.73 tff(17033,plain,
% 7.92/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s250, s251)) | trans(s250, s251)),
% 7.92/5.73 inference(modus_ponens,[status(thm)],[17032, 17031])).
% 7.92/5.73 tff(17034,plain,
% 7.92/5.73 (trans(s250, s251)),
% 7.92/5.73 inference(unit_resolution,[status(thm)],[17033, 17030, 39])).
% 7.92/5.73 tff(17035,plain,
% 7.92/5.73 (((~![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))),
% 7.92/5.73 inference(rewrite,[status(thm)],[])).
% 7.92/5.73 tff(17036,plain,
% 7.92/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s250, s251)) | (~always3(s250)) | always3(s251))),
% 7.92/5.73 inference(quant_inst,[status(thm)],[])).
% 7.92/5.73 tff(17037,plain,
% 7.92/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s250, s251)) | (~always3(s250)) | always3(s251)),
% 7.92/5.73 inference(modus_ponens,[status(thm)],[17036, 17035])).
% 7.92/5.73 tff(17038,plain,
% 7.92/5.73 ((~always3(s250)) | always3(s251)),
% 7.92/5.73 inference(unit_resolution,[status(thm)],[17037, 112, 17034])).
% 7.92/5.73 tff(17039,plain,
% 7.92/5.73 (always3(s251)),
% 7.92/5.73 inference(unit_resolution,[status(thm)],[17038, 17027])).
% 7.92/5.73 tff(17040,plain,
% 7.92/5.73 (((~![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)))),
% 7.92/5.73 inference(rewrite,[status(thm)],[])).
% 7.92/5.73 tff(17041,plain,
% 7.92/5.73 (((~m_main_v_state(s251, c_busy)) | (~always3(s251))) <=> ((~always3(s251)) | (~m_main_v_state(s251, c_busy)))),
% 7.92/5.73 inference(rewrite,[status(thm)],[])).
% 7.92/5.73 tff(17042,plain,
% 7.92/5.73 (((~![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))))),
% 7.92/5.73 inference(monotonicity,[status(thm)],[17041])).
% 7.92/5.73 tff(17043,plain,
% 7.92/5.73 (((~![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)))),
% 7.92/5.73 inference(transitivity,[status(thm)],[17042, 17040])).
% 7.92/5.73 tff(17044,plain,
% 7.92/5.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s251, c_busy)) | (~always3(s251)))),
% 7.92/5.73 inference(quant_inst,[status(thm)],[])).
% 7.92/5.73 tff(17045,plain,
% 7.92/5.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s251)) | (~m_main_v_state(s251, c_busy))),
% 7.92/5.73 inference(modus_ponens,[status(thm)],[17044, 17043])).
% 7.92/5.73 tff(17046,plain,
% 7.92/5.73 (~m_main_v_state(s251, c_busy)),
% 7.92/5.73 inference(unit_resolution,[status(thm)],[17045, 72, 17039])).
% 7.92/5.73 tff(17047,plain,
% 7.92/5.73 (((~![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))),
% 7.92/5.73 inference(rewrite,[status(thm)],[])).
% 7.92/5.73 tff(17048,plain,
% 7.92/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s250, s251)) | node2(s250, s251))),
% 7.92/5.73 inference(quant_inst,[status(thm)],[])).
% 7.92/5.73 tff(17049,plain,
% 7.92/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s250, s251)) | node2(s250, s251)),
% 7.92/5.73 inference(modus_ponens,[status(thm)],[17048, 17047])).
% 7.92/5.73 tff(17050,plain,
% 7.92/5.73 (node2(s250, s251)),
% 7.92/5.73 inference(unit_resolution,[status(thm)],[17049, 7, 17034])).
% 7.92/5.73 tff(17051,plain,
% 7.92/5.73 (((~![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(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)))),
% 7.92/5.73 inference(rewrite,[status(thm)],[])).
% 7.92/5.73 tff(17052,plain,
% 7.92/5.73 ((~![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(s250, c_ready)) | (~node2(s250, s251)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250)))),
% 7.95/5.73 inference(quant_inst,[status(thm)],[])).
% 7.95/5.73 tff(17053,plain,
% 7.95/5.73 ((~![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(s250, c_ready)) | (~node2(s250, s251)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250))),
% 7.95/5.73 inference(modus_ponens,[status(thm)],[17052, 17051])).
% 7.95/5.73 tff(17054,plain,
% 7.95/5.73 ((~m_main_v_state(s250, c_ready)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250))),
% 7.95/5.73 inference(unit_resolution,[status(thm)],[17053, 60, 17050])).
% 7.95/5.73 tff(17055,plain,
% 7.95/5.73 (~m_main_v_state(s250, c_ready)),
% 7.95/5.73 inference(unit_resolution,[status(thm)],[17054, 17046, 17023])).
% 7.95/5.73 tff(17056,plain,
% 7.95/5.73 (~m_main_v_state(s250, c_busy)),
% 7.95/5.73 inference(unit_resolution,[status(thm)],[16989, 72, 17027])).
% 7.95/5.73 tff(17057,plain,
% 7.95/5.73 (((~![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))),
% 7.95/5.73 inference(rewrite,[status(thm)],[])).
% 7.95/5.73 tff(17058,plain,
% 7.95/5.73 ((~![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))),
% 7.95/5.73 inference(quant_inst,[status(thm)],[])).
% 7.95/5.73 tff(17059,plain,
% 7.95/5.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s250, c_busy) | m_main_v_state(s250, c_ready)),
% 7.95/5.73 inference(modus_ponens,[status(thm)],[17058, 17057])).
% 7.95/5.73 tff(17060,plain,
% 7.95/5.73 ($false),
% 7.95/5.73 inference(unit_resolution,[status(thm)],[17059, 89, 17056, 17055])).
% 7.95/5.73 tff(17061,plain,(~node4(s250)), inference(lemma,lemma(discharge,[]))).
% 7.95/5.73 tff(17062,plain,
% 7.95/5.73 (((~![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)))),
% 7.95/5.73 inference(rewrite,[status(thm)],[])).
% 7.95/5.73 tff(17063,plain,
% 7.95/5.73 ((node4(s250) | (~until5(s250)) | xuntil6(s250)) <=> (xuntil6(s250) | node4(s250) | (~until5(s250)))),
% 7.95/5.73 inference(rewrite,[status(thm)],[])).
% 7.95/5.73 tff(17064,plain,
% 7.95/5.73 (((~![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))))),
% 7.95/5.73 inference(monotonicity,[status(thm)],[17063])).
% 7.95/5.73 tff(17065,plain,
% 7.95/5.73 (((~![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)))),
% 7.95/5.73 inference(transitivity,[status(thm)],[17064, 17062])).
% 7.95/5.73 tff(17066,plain,
% 7.95/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s250) | (~until5(s250)) | xuntil6(s250))),
% 7.95/5.73 inference(quant_inst,[status(thm)],[])).
% 7.95/5.73 tff(17067,plain,
% 7.95/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s250) | node4(s250) | (~until5(s250))),
% 7.95/5.73 inference(modus_ponens,[status(thm)],[17066, 17065])).
% 7.95/5.73 tff(17068,plain,
% 7.95/5.73 (xuntil6(s250) | (~until5(s250))),
% 7.95/5.73 inference(unit_resolution,[status(thm)],[17067, 352, 17061])).
% 7.95/5.73 tff(17069,plain,
% 7.95/5.73 (xuntil6(s250)),
% 7.95/5.73 inference(unit_resolution,[status(thm)],[17068, 17018])).
% 7.95/5.73 tff(17070,plain,
% 7.95/5.73 (((~![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))),
% 7.95/5.73 inference(rewrite,[status(thm)],[])).
% 7.95/5.73 tff(17071,plain,
% 7.95/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251))),
% 7.95/5.73 inference(quant_inst,[status(thm)],[])).
% 7.95/5.73 tff(17072,plain,
% 7.95/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251)),
% 7.95/5.73 inference(modus_ponens,[status(thm)],[17071, 17070])).
% 7.95/5.73 tff(17073,plain,
% 7.95/5.73 ((~xuntil6(s250)) | until5(s251)),
% 7.95/5.73 inference(unit_resolution,[status(thm)],[17072, 17030, 370])).
% 7.95/5.73 tff(17074,plain,
% 7.95/5.73 (until5(s251)),
% 7.95/5.73 inference(unit_resolution,[status(thm)],[17073, 17069])).
% 7.95/5.73 tff(17075,assumption,(node4(s251)), introduced(assumption)).
% 7.95/5.73 tff(17076,plain,
% 7.95/5.73 (((~![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)))),
% 7.95/5.73 inference(rewrite,[status(thm)],[])).
% 7.95/5.73 tff(17077,plain,
% 7.95/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s251) | (~node4(s251)))),
% 7.95/5.73 inference(quant_inst,[status(thm)],[])).
% 7.95/5.73 tff(17078,plain,
% 7.95/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s251) | (~node4(s251))),
% 7.95/5.73 inference(modus_ponens,[status(thm)],[17077, 17076])).
% 7.95/5.73 tff(17079,plain,
% 7.95/5.73 (m_main_v_request(s251)),
% 7.95/5.73 inference(unit_resolution,[status(thm)],[17078, 28, 17075])).
% 7.95/5.73 tff(17080,plain,
% 7.95/5.73 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s251) | (~node4(s251)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s251) | (~node4(s251)))),
% 7.95/5.73 inference(rewrite,[status(thm)],[])).
% 7.95/5.73 tff(17081,plain,
% 7.95/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s251) | (~node4(s251)))),
% 7.95/5.73 inference(quant_inst,[status(thm)],[])).
% 7.95/5.73 tff(17082,plain,
% 7.95/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s251) | (~node4(s251))),
% 7.95/5.73 inference(modus_ponens,[status(thm)],[17081, 17080])).
% 7.95/5.73 tff(17083,plain,
% 7.95/5.73 (always3(s251)),
% 7.95/5.73 inference(unit_resolution,[status(thm)],[17082, 16, 17075])).
% 7.95/5.73 tff(17084,plain,
% 7.95/5.73 (succ(s251, s252) <=> succ(s251, s252)),
% 7.95/5.73 inference(rewrite,[status(thm)],[])).
% 7.95/5.73 tff(17085,axiom,(succ(s251, s252)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound252')).
% 7.95/5.73 tff(17086,plain,
% 7.95/5.73 (succ(s251, s252)),
% 7.95/5.73 inference(modus_ponens,[status(thm)],[17085, 17084])).
% 7.95/5.73 tff(17087,plain,
% 7.95/5.73 (((~![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))),
% 7.95/5.73 inference(rewrite,[status(thm)],[])).
% 7.95/5.73 tff(17088,plain,
% 7.95/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s251, s252)) | trans(s251, s252))),
% 7.95/5.73 inference(quant_inst,[status(thm)],[])).
% 7.95/5.73 tff(17089,plain,
% 7.95/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s251, s252)) | trans(s251, s252)),
% 7.95/5.73 inference(modus_ponens,[status(thm)],[17088, 17087])).
% 7.95/5.73 tff(17090,plain,
% 7.95/5.73 (trans(s251, s252)),
% 7.95/5.73 inference(unit_resolution,[status(thm)],[17089, 17086, 39])).
% 7.95/5.73 tff(17091,plain,
% 7.95/5.73 (((~![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))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17092,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s251, s252)) | (~always3(s251)) | always3(s252))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17093,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s251, s252)) | (~always3(s251)) | always3(s252)),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17092, 17091])).
% 7.96/5.73 tff(17094,plain,
% 7.96/5.73 ((~always3(s251)) | always3(s252)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17093, 112, 17090])).
% 7.96/5.73 tff(17095,plain,
% 7.96/5.73 (always3(s252)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17094, 17083])).
% 7.96/5.73 tff(17096,plain,
% 7.96/5.73 (((~![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)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17097,plain,
% 7.96/5.73 (((~m_main_v_state(s252, c_busy)) | (~always3(s252))) <=> ((~always3(s252)) | (~m_main_v_state(s252, c_busy)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17098,plain,
% 7.96/5.73 (((~![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))))),
% 7.96/5.73 inference(monotonicity,[status(thm)],[17097])).
% 7.96/5.73 tff(17099,plain,
% 7.96/5.73 (((~![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)))),
% 7.96/5.73 inference(transitivity,[status(thm)],[17098, 17096])).
% 7.96/5.73 tff(17100,plain,
% 7.96/5.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s252, c_busy)) | (~always3(s252)))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17101,plain,
% 7.96/5.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s252)) | (~m_main_v_state(s252, c_busy))),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17100, 17099])).
% 7.96/5.73 tff(17102,plain,
% 7.96/5.73 (~m_main_v_state(s252, c_busy)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17101, 72, 17095])).
% 7.96/5.73 tff(17103,plain,
% 7.96/5.73 (((~![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))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17104,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s251, s252)) | node2(s251, s252))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17105,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s251, s252)) | node2(s251, s252)),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17104, 17103])).
% 7.96/5.73 tff(17106,plain,
% 7.96/5.73 (node2(s251, s252)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17105, 7, 17090])).
% 7.96/5.73 tff(17107,plain,
% 7.96/5.73 (((~![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(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)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17108,plain,
% 7.96/5.73 ((~![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(s251, c_ready)) | (~node2(s251, s252)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251)))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17109,plain,
% 7.96/5.73 ((~![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(s251, c_ready)) | (~node2(s251, s252)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251))),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17108, 17107])).
% 7.96/5.73 tff(17110,plain,
% 7.96/5.73 ((~m_main_v_state(s251, c_ready)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251))),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17109, 60, 17106])).
% 7.96/5.73 tff(17111,plain,
% 7.96/5.73 (~m_main_v_state(s251, c_ready)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17110, 17102, 17079])).
% 7.96/5.73 tff(17112,plain,
% 7.96/5.73 (~m_main_v_state(s251, c_busy)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17045, 72, 17083])).
% 7.96/5.73 tff(17113,plain,
% 7.96/5.73 (((~![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))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17114,plain,
% 7.96/5.73 ((~![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))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17115,plain,
% 7.96/5.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s251, c_busy) | m_main_v_state(s251, c_ready)),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17114, 17113])).
% 7.96/5.73 tff(17116,plain,
% 7.96/5.73 ($false),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17115, 89, 17112, 17111])).
% 7.96/5.73 tff(17117,plain,(~node4(s251)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.73 tff(17118,plain,
% 7.96/5.73 (((~![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)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17119,plain,
% 7.96/5.73 ((node4(s251) | (~until5(s251)) | xuntil6(s251)) <=> (xuntil6(s251) | node4(s251) | (~until5(s251)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17120,plain,
% 7.96/5.73 (((~![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))))),
% 7.96/5.73 inference(monotonicity,[status(thm)],[17119])).
% 7.96/5.73 tff(17121,plain,
% 7.96/5.73 (((~![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)))),
% 7.96/5.73 inference(transitivity,[status(thm)],[17120, 17118])).
% 7.96/5.73 tff(17122,plain,
% 7.96/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s251) | (~until5(s251)) | xuntil6(s251))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17123,plain,
% 7.96/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s251) | node4(s251) | (~until5(s251))),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17122, 17121])).
% 7.96/5.73 tff(17124,plain,
% 7.96/5.73 (xuntil6(s251) | (~until5(s251))),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17123, 352, 17117])).
% 7.96/5.73 tff(17125,plain,
% 7.96/5.73 (xuntil6(s251)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17124, 17074])).
% 7.96/5.73 tff(17126,plain,
% 7.96/5.73 (((~![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))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17127,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17128,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252)),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17127, 17126])).
% 7.96/5.73 tff(17129,plain,
% 7.96/5.73 ((~xuntil6(s251)) | until5(s252)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17128, 17086, 370])).
% 7.96/5.73 tff(17130,plain,
% 7.96/5.73 (until5(s252)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17129, 17125])).
% 7.96/5.73 tff(17131,assumption,(node4(s252)), introduced(assumption)).
% 7.96/5.73 tff(17132,plain,
% 7.96/5.73 (((~![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)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17133,plain,
% 7.96/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s252) | (~node4(s252)))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17134,plain,
% 7.96/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s252) | (~node4(s252))),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17133, 17132])).
% 7.96/5.73 tff(17135,plain,
% 7.96/5.73 (m_main_v_request(s252)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17134, 28, 17131])).
% 7.96/5.73 tff(17136,plain,
% 7.96/5.73 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s252) | (~node4(s252)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s252) | (~node4(s252)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17137,plain,
% 7.96/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s252) | (~node4(s252)))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17138,plain,
% 7.96/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s252) | (~node4(s252))),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17137, 17136])).
% 7.96/5.73 tff(17139,plain,
% 7.96/5.73 (always3(s252)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17138, 16, 17131])).
% 7.96/5.73 tff(17140,plain,
% 7.96/5.73 (succ(s252, s253) <=> succ(s252, s253)),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17141,axiom,(succ(s252, s253)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound253')).
% 7.96/5.73 tff(17142,plain,
% 7.96/5.73 (succ(s252, s253)),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17141, 17140])).
% 7.96/5.73 tff(17143,plain,
% 7.96/5.73 (((~![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))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17144,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s252, s253)) | trans(s252, s253))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17145,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s252, s253)) | trans(s252, s253)),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17144, 17143])).
% 7.96/5.73 tff(17146,plain,
% 7.96/5.73 (trans(s252, s253)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17145, 17142, 39])).
% 7.96/5.73 tff(17147,plain,
% 7.96/5.73 (((~![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))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17148,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s252, s253)) | (~always3(s252)) | always3(s253))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17149,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s252, s253)) | (~always3(s252)) | always3(s253)),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17148, 17147])).
% 7.96/5.73 tff(17150,plain,
% 7.96/5.73 ((~always3(s252)) | always3(s253)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17149, 112, 17146])).
% 7.96/5.73 tff(17151,plain,
% 7.96/5.73 (always3(s253)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17150, 17139])).
% 7.96/5.73 tff(17152,plain,
% 7.96/5.73 (((~![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)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17153,plain,
% 7.96/5.73 (((~m_main_v_state(s253, c_busy)) | (~always3(s253))) <=> ((~always3(s253)) | (~m_main_v_state(s253, c_busy)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17154,plain,
% 7.96/5.73 (((~![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))))),
% 7.96/5.73 inference(monotonicity,[status(thm)],[17153])).
% 7.96/5.73 tff(17155,plain,
% 7.96/5.73 (((~![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)))),
% 7.96/5.73 inference(transitivity,[status(thm)],[17154, 17152])).
% 7.96/5.73 tff(17156,plain,
% 7.96/5.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s253, c_busy)) | (~always3(s253)))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17157,plain,
% 7.96/5.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s253)) | (~m_main_v_state(s253, c_busy))),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17156, 17155])).
% 7.96/5.73 tff(17158,plain,
% 7.96/5.73 (~m_main_v_state(s253, c_busy)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17157, 72, 17151])).
% 7.96/5.73 tff(17159,plain,
% 7.96/5.73 (((~![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))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17160,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s252, s253)) | node2(s252, s253))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17161,plain,
% 7.96/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s252, s253)) | node2(s252, s253)),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17160, 17159])).
% 7.96/5.73 tff(17162,plain,
% 7.96/5.73 (node2(s252, s253)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17161, 7, 17146])).
% 7.96/5.73 tff(17163,plain,
% 7.96/5.73 (((~![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(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)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17164,plain,
% 7.96/5.73 ((~![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(s252, c_ready)) | (~node2(s252, s253)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252)))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17165,plain,
% 7.96/5.73 ((~![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(s252, c_ready)) | (~node2(s252, s253)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252))),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17164, 17163])).
% 7.96/5.73 tff(17166,plain,
% 7.96/5.73 ((~m_main_v_state(s252, c_ready)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252))),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17165, 60, 17162])).
% 7.96/5.73 tff(17167,plain,
% 7.96/5.73 (~m_main_v_state(s252, c_ready)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17166, 17158, 17135])).
% 7.96/5.73 tff(17168,plain,
% 7.96/5.73 (~m_main_v_state(s252, c_busy)),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17101, 72, 17139])).
% 7.96/5.73 tff(17169,plain,
% 7.96/5.73 (((~![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))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17170,plain,
% 7.96/5.73 ((~![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))),
% 7.96/5.73 inference(quant_inst,[status(thm)],[])).
% 7.96/5.73 tff(17171,plain,
% 7.96/5.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s252, c_busy) | m_main_v_state(s252, c_ready)),
% 7.96/5.73 inference(modus_ponens,[status(thm)],[17170, 17169])).
% 7.96/5.73 tff(17172,plain,
% 7.96/5.73 ($false),
% 7.96/5.73 inference(unit_resolution,[status(thm)],[17171, 89, 17168, 17167])).
% 7.96/5.73 tff(17173,plain,(~node4(s252)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.73 tff(17174,plain,
% 7.96/5.73 (((~![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)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17175,plain,
% 7.96/5.73 ((node4(s252) | (~until5(s252)) | xuntil6(s252)) <=> (xuntil6(s252) | node4(s252) | (~until5(s252)))),
% 7.96/5.73 inference(rewrite,[status(thm)],[])).
% 7.96/5.73 tff(17176,plain,
% 7.96/5.73 (((~![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))))),
% 7.96/5.73 inference(monotonicity,[status(thm)],[17175])).
% 7.96/5.73 tff(17177,plain,
% 7.96/5.73 (((~![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)))),
% 7.96/5.73 inference(transitivity,[status(thm)],[17176, 17174])).
% 7.96/5.74 tff(17178,plain,
% 7.96/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s252) | (~until5(s252)) | xuntil6(s252))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17179,plain,
% 7.96/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s252) | node4(s252) | (~until5(s252))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17178, 17177])).
% 7.96/5.74 tff(17180,plain,
% 7.96/5.74 (xuntil6(s252) | (~until5(s252))),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17179, 352, 17173])).
% 7.96/5.74 tff(17181,plain,
% 7.96/5.74 (xuntil6(s252)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17180, 17130])).
% 7.96/5.74 tff(17182,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17183,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17184,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17183, 17182])).
% 7.96/5.74 tff(17185,plain,
% 7.96/5.74 ((~xuntil6(s252)) | until5(s253)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17184, 17142, 370])).
% 7.96/5.74 tff(17186,plain,
% 7.96/5.74 (until5(s253)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17185, 17181])).
% 7.96/5.74 tff(17187,assumption,(node4(s253)), introduced(assumption)).
% 7.96/5.74 tff(17188,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17189,plain,
% 7.96/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s253) | (~node4(s253)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17190,plain,
% 7.96/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s253) | (~node4(s253))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17189, 17188])).
% 7.96/5.74 tff(17191,plain,
% 7.96/5.74 (m_main_v_request(s253)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17190, 28, 17187])).
% 7.96/5.74 tff(17192,plain,
% 7.96/5.74 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s253) | (~node4(s253)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s253) | (~node4(s253)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17193,plain,
% 7.96/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s253) | (~node4(s253)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17194,plain,
% 7.96/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s253) | (~node4(s253))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17193, 17192])).
% 7.96/5.74 tff(17195,plain,
% 7.96/5.74 (always3(s253)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17194, 16, 17187])).
% 7.96/5.74 tff(17196,plain,
% 7.96/5.74 (succ(s253, s254) <=> succ(s253, s254)),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17197,axiom,(succ(s253, s254)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound254')).
% 7.96/5.74 tff(17198,plain,
% 7.96/5.74 (succ(s253, s254)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17197, 17196])).
% 7.96/5.74 tff(17199,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17200,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s253, s254)) | trans(s253, s254))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17201,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s253, s254)) | trans(s253, s254)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17200, 17199])).
% 7.96/5.74 tff(17202,plain,
% 7.96/5.74 (trans(s253, s254)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17201, 17198, 39])).
% 7.96/5.74 tff(17203,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17204,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s253, s254)) | (~always3(s253)) | always3(s254))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17205,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s253, s254)) | (~always3(s253)) | always3(s254)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17204, 17203])).
% 7.96/5.74 tff(17206,plain,
% 7.96/5.74 ((~always3(s253)) | always3(s254)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17205, 112, 17202])).
% 7.96/5.74 tff(17207,plain,
% 7.96/5.74 (always3(s254)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17206, 17195])).
% 7.96/5.74 tff(17208,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17209,plain,
% 7.96/5.74 (((~m_main_v_state(s254, c_busy)) | (~always3(s254))) <=> ((~always3(s254)) | (~m_main_v_state(s254, c_busy)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17210,plain,
% 7.96/5.74 (((~![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))))),
% 7.96/5.74 inference(monotonicity,[status(thm)],[17209])).
% 7.96/5.74 tff(17211,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(transitivity,[status(thm)],[17210, 17208])).
% 7.96/5.74 tff(17212,plain,
% 7.96/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s254, c_busy)) | (~always3(s254)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17213,plain,
% 7.96/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s254)) | (~m_main_v_state(s254, c_busy))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17212, 17211])).
% 7.96/5.74 tff(17214,plain,
% 7.96/5.74 (~m_main_v_state(s254, c_busy)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17213, 72, 17207])).
% 7.96/5.74 tff(17215,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17216,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s253, s254)) | node2(s253, s254))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17217,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s253, s254)) | node2(s253, s254)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17216, 17215])).
% 7.96/5.74 tff(17218,plain,
% 7.96/5.74 (node2(s253, s254)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17217, 7, 17202])).
% 7.96/5.74 tff(17219,plain,
% 7.96/5.74 (((~![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(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)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17220,plain,
% 7.96/5.74 ((~![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(s253, c_ready)) | (~node2(s253, s254)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17221,plain,
% 7.96/5.74 ((~![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(s253, c_ready)) | (~node2(s253, s254)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17220, 17219])).
% 7.96/5.74 tff(17222,plain,
% 7.96/5.74 ((~m_main_v_state(s253, c_ready)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253))),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17221, 60, 17218])).
% 7.96/5.74 tff(17223,plain,
% 7.96/5.74 (~m_main_v_state(s253, c_ready)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17222, 17214, 17191])).
% 7.96/5.74 tff(17224,plain,
% 7.96/5.74 (~m_main_v_state(s253, c_busy)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17157, 72, 17195])).
% 7.96/5.74 tff(17225,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17226,plain,
% 7.96/5.74 ((~![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))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17227,plain,
% 7.96/5.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s253, c_busy) | m_main_v_state(s253, c_ready)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17226, 17225])).
% 7.96/5.74 tff(17228,plain,
% 7.96/5.74 ($false),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17227, 89, 17224, 17223])).
% 7.96/5.74 tff(17229,plain,(~node4(s253)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.74 tff(17230,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17231,plain,
% 7.96/5.74 ((node4(s253) | (~until5(s253)) | xuntil6(s253)) <=> (xuntil6(s253) | node4(s253) | (~until5(s253)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17232,plain,
% 7.96/5.74 (((~![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))))),
% 7.96/5.74 inference(monotonicity,[status(thm)],[17231])).
% 7.96/5.74 tff(17233,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(transitivity,[status(thm)],[17232, 17230])).
% 7.96/5.74 tff(17234,plain,
% 7.96/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s253) | (~until5(s253)) | xuntil6(s253))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17235,plain,
% 7.96/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s253) | node4(s253) | (~until5(s253))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17234, 17233])).
% 7.96/5.74 tff(17236,plain,
% 7.96/5.74 (xuntil6(s253) | (~until5(s253))),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17235, 352, 17229])).
% 7.96/5.74 tff(17237,plain,
% 7.96/5.74 (xuntil6(s253)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17236, 17186])).
% 7.96/5.74 tff(17238,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17239,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17240,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17239, 17238])).
% 7.96/5.74 tff(17241,plain,
% 7.96/5.74 ((~xuntil6(s253)) | until5(s254)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17240, 17198, 370])).
% 7.96/5.74 tff(17242,plain,
% 7.96/5.74 (until5(s254)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17241, 17237])).
% 7.96/5.74 tff(17243,assumption,(node4(s254)), introduced(assumption)).
% 7.96/5.74 tff(17244,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17245,plain,
% 7.96/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s254) | (~node4(s254)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17246,plain,
% 7.96/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s254) | (~node4(s254))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17245, 17244])).
% 7.96/5.74 tff(17247,plain,
% 7.96/5.74 (m_main_v_request(s254)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17246, 28, 17243])).
% 7.96/5.74 tff(17248,plain,
% 7.96/5.74 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s254) | (~node4(s254)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s254) | (~node4(s254)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17249,plain,
% 7.96/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s254) | (~node4(s254)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17250,plain,
% 7.96/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s254) | (~node4(s254))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17249, 17248])).
% 7.96/5.74 tff(17251,plain,
% 7.96/5.74 (always3(s254)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17250, 16, 17243])).
% 7.96/5.74 tff(17252,plain,
% 7.96/5.74 (succ(s254, s255) <=> succ(s254, s255)),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17253,axiom,(succ(s254, s255)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound255')).
% 7.96/5.74 tff(17254,plain,
% 7.96/5.74 (succ(s254, s255)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17253, 17252])).
% 7.96/5.74 tff(17255,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17256,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s254, s255)) | trans(s254, s255))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17257,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s254, s255)) | trans(s254, s255)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17256, 17255])).
% 7.96/5.74 tff(17258,plain,
% 7.96/5.74 (trans(s254, s255)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17257, 17254, 39])).
% 7.96/5.74 tff(17259,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17260,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s254, s255)) | (~always3(s254)) | always3(s255))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17261,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s254, s255)) | (~always3(s254)) | always3(s255)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17260, 17259])).
% 7.96/5.74 tff(17262,plain,
% 7.96/5.74 ((~always3(s254)) | always3(s255)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17261, 112, 17258])).
% 7.96/5.74 tff(17263,plain,
% 7.96/5.74 (always3(s255)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17262, 17251])).
% 7.96/5.74 tff(17264,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17265,plain,
% 7.96/5.74 (((~m_main_v_state(s255, c_busy)) | (~always3(s255))) <=> ((~always3(s255)) | (~m_main_v_state(s255, c_busy)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17266,plain,
% 7.96/5.74 (((~![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))))),
% 7.96/5.74 inference(monotonicity,[status(thm)],[17265])).
% 7.96/5.74 tff(17267,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(transitivity,[status(thm)],[17266, 17264])).
% 7.96/5.74 tff(17268,plain,
% 7.96/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s255, c_busy)) | (~always3(s255)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17269,plain,
% 7.96/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s255)) | (~m_main_v_state(s255, c_busy))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17268, 17267])).
% 7.96/5.74 tff(17270,plain,
% 7.96/5.74 (~m_main_v_state(s255, c_busy)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17269, 72, 17263])).
% 7.96/5.74 tff(17271,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17272,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s254, s255)) | node2(s254, s255))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17273,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s254, s255)) | node2(s254, s255)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17272, 17271])).
% 7.96/5.74 tff(17274,plain,
% 7.96/5.74 (node2(s254, s255)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17273, 7, 17258])).
% 7.96/5.74 tff(17275,plain,
% 7.96/5.74 (((~![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(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)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17276,plain,
% 7.96/5.74 ((~![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(s254, c_ready)) | (~node2(s254, s255)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17277,plain,
% 7.96/5.74 ((~![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(s254, c_ready)) | (~node2(s254, s255)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 7.96/5.74 tff(17278,plain,
% 7.96/5.74 ((~m_main_v_state(s254, c_ready)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254))),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17277, 60, 17274])).
% 7.96/5.74 tff(17279,plain,
% 7.96/5.74 (~m_main_v_state(s254, c_ready)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17278, 17270, 17247])).
% 7.96/5.74 tff(17280,plain,
% 7.96/5.74 (~m_main_v_state(s254, c_busy)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17213, 72, 17251])).
% 7.96/5.74 tff(17281,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17282,plain,
% 7.96/5.74 ((~![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))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17283,plain,
% 7.96/5.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s254, c_busy) | m_main_v_state(s254, c_ready)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17282, 17281])).
% 7.96/5.74 tff(17284,plain,
% 7.96/5.74 ($false),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17283, 89, 17280, 17279])).
% 7.96/5.74 tff(17285,plain,(~node4(s254)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.74 tff(17286,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17287,plain,
% 7.96/5.74 ((node4(s254) | (~until5(s254)) | xuntil6(s254)) <=> (xuntil6(s254) | node4(s254) | (~until5(s254)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17288,plain,
% 7.96/5.74 (((~![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))))),
% 7.96/5.74 inference(monotonicity,[status(thm)],[17287])).
% 7.96/5.74 tff(17289,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(transitivity,[status(thm)],[17288, 17286])).
% 7.96/5.74 tff(17290,plain,
% 7.96/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s254) | (~until5(s254)) | xuntil6(s254))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17291,plain,
% 7.96/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s254) | node4(s254) | (~until5(s254))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17290, 17289])).
% 7.96/5.74 tff(17292,plain,
% 7.96/5.74 (xuntil6(s254) | (~until5(s254))),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17291, 352, 17285])).
% 7.96/5.74 tff(17293,plain,
% 7.96/5.74 (xuntil6(s254)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17292, 17242])).
% 7.96/5.74 tff(17294,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17295,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17296,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17295, 17294])).
% 7.96/5.74 tff(17297,plain,
% 7.96/5.74 ((~xuntil6(s254)) | until5(s255)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17296, 17254, 370])).
% 7.96/5.74 tff(17298,plain,
% 7.96/5.74 (until5(s255)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17297, 17293])).
% 7.96/5.74 tff(17299,assumption,(node4(s255)), introduced(assumption)).
% 7.96/5.74 tff(17300,plain,
% 7.96/5.74 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s255) | (~node4(s255)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s255) | (~node4(s255)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17301,plain,
% 7.96/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s255) | (~node4(s255)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17302,plain,
% 7.96/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s255) | (~node4(s255))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17301, 17300])).
% 7.96/5.74 tff(17303,plain,
% 7.96/5.74 (m_main_v_request(s255)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17302, 28, 17299])).
% 7.96/5.74 tff(17304,plain,
% 7.96/5.74 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s255) | (~node4(s255)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s255) | (~node4(s255)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17305,plain,
% 7.96/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s255) | (~node4(s255)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17306,plain,
% 7.96/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s255) | (~node4(s255))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17305, 17304])).
% 7.96/5.74 tff(17307,plain,
% 7.96/5.74 (always3(s255)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17306, 16, 17299])).
% 7.96/5.74 tff(17308,plain,
% 7.96/5.74 (succ(s255, s256) <=> succ(s255, s256)),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17309,axiom,(succ(s255, s256)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound256')).
% 7.96/5.74 tff(17310,plain,
% 7.96/5.74 (succ(s255, s256)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17309, 17308])).
% 7.96/5.74 tff(17311,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17312,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s255, s256)) | trans(s255, s256))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17313,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s255, s256)) | trans(s255, s256)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17312, 17311])).
% 7.96/5.74 tff(17314,plain,
% 7.96/5.74 (trans(s255, s256)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17313, 17310, 39])).
% 7.96/5.74 tff(17315,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17316,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s255, s256)) | (~always3(s255)) | always3(s256))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17317,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s255, s256)) | (~always3(s255)) | always3(s256)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 7.96/5.74 tff(17318,plain,
% 7.96/5.74 ((~always3(s255)) | always3(s256)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17317, 112, 17314])).
% 7.96/5.74 tff(17319,plain,
% 7.96/5.74 (always3(s256)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17318, 17307])).
% 7.96/5.74 tff(17320,plain,
% 7.96/5.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s256)) | (~m_main_v_state(s256, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s256)) | (~m_main_v_state(s256, c_busy)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17321,plain,
% 7.96/5.74 (((~m_main_v_state(s256, c_busy)) | (~always3(s256))) <=> ((~always3(s256)) | (~m_main_v_state(s256, c_busy)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17322,plain,
% 7.96/5.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s256, c_busy)) | (~always3(s256)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s256)) | (~m_main_v_state(s256, c_busy))))),
% 7.96/5.74 inference(monotonicity,[status(thm)],[17321])).
% 7.96/5.74 tff(17323,plain,
% 7.96/5.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s256, c_busy)) | (~always3(s256)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s256)) | (~m_main_v_state(s256, c_busy)))),
% 7.96/5.74 inference(transitivity,[status(thm)],[17322, 17320])).
% 7.96/5.74 tff(17324,plain,
% 7.96/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s256, c_busy)) | (~always3(s256)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17325,plain,
% 7.96/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s256)) | (~m_main_v_state(s256, c_busy))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17324, 17323])).
% 7.96/5.74 tff(17326,plain,
% 7.96/5.74 (~m_main_v_state(s256, c_busy)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17325, 72, 17319])).
% 7.96/5.74 tff(17327,plain,
% 7.96/5.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s255, s256)) | node2(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s255, s256)) | node2(s255, s256))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17328,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s255, s256)) | node2(s255, s256))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17329,plain,
% 7.96/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s255, s256)) | node2(s255, s256)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17328, 17327])).
% 7.96/5.74 tff(17330,plain,
% 7.96/5.74 (node2(s255, s256)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17329, 7, 17314])).
% 7.96/5.74 tff(17331,plain,
% 7.96/5.74 (((~![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(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)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17332,plain,
% 7.96/5.74 ((~![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(s255, c_ready)) | (~node2(s255, s256)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255)))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17333,plain,
% 7.96/5.74 ((~![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(s255, c_ready)) | (~node2(s255, s256)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17332, 17331])).
% 7.96/5.74 tff(17334,plain,
% 7.96/5.74 ((~m_main_v_state(s255, c_ready)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255))),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17333, 60, 17330])).
% 7.96/5.74 tff(17335,plain,
% 7.96/5.74 (~m_main_v_state(s255, c_ready)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17334, 17326, 17303])).
% 7.96/5.74 tff(17336,plain,
% 7.96/5.74 (~m_main_v_state(s255, c_busy)),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17269, 72, 17307])).
% 7.96/5.74 tff(17337,plain,
% 7.96/5.74 (((~![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))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17338,plain,
% 7.96/5.74 ((~![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))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17339,plain,
% 7.96/5.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s255, c_busy) | m_main_v_state(s255, c_ready)),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17338, 17337])).
% 7.96/5.74 tff(17340,plain,
% 7.96/5.74 ($false),
% 7.96/5.74 inference(unit_resolution,[status(thm)],[17339, 89, 17336, 17335])).
% 7.96/5.74 tff(17341,plain,(~node4(s255)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.74 tff(17342,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17343,plain,
% 7.96/5.74 ((node4(s255) | (~until5(s255)) | xuntil6(s255)) <=> (xuntil6(s255) | node4(s255) | (~until5(s255)))),
% 7.96/5.74 inference(rewrite,[status(thm)],[])).
% 7.96/5.74 tff(17344,plain,
% 7.96/5.74 (((~![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))))),
% 7.96/5.74 inference(monotonicity,[status(thm)],[17343])).
% 7.96/5.74 tff(17345,plain,
% 7.96/5.74 (((~![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)))),
% 7.96/5.74 inference(transitivity,[status(thm)],[17344, 17342])).
% 7.96/5.74 tff(17346,plain,
% 7.96/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s255) | (~until5(s255)) | xuntil6(s255))),
% 7.96/5.74 inference(quant_inst,[status(thm)],[])).
% 7.96/5.74 tff(17347,plain,
% 7.96/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s255) | node4(s255) | (~until5(s255))),
% 7.96/5.74 inference(modus_ponens,[status(thm)],[17346, 17345])).
% 7.96/5.75 tff(17348,plain,
% 7.96/5.75 (xuntil6(s255) | (~until5(s255))),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17347, 352, 17341])).
% 7.96/5.75 tff(17349,plain,
% 7.96/5.75 (xuntil6(s255)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17348, 17298])).
% 7.96/5.75 tff(17350,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17351,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17352,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17351, 17350])).
% 7.96/5.75 tff(17353,plain,
% 7.96/5.75 ((~xuntil6(s255)) | until5(s256)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17352, 17310, 370])).
% 7.96/5.75 tff(17354,plain,
% 7.96/5.75 (until5(s256)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17353, 17349])).
% 7.96/5.75 tff(17355,assumption,(node4(s256)), introduced(assumption)).
% 7.96/5.75 tff(17356,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17357,plain,
% 7.96/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s256) | (~node4(s256)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17358,plain,
% 7.96/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s256) | (~node4(s256))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17357, 17356])).
% 7.96/5.75 tff(17359,plain,
% 7.96/5.75 (m_main_v_request(s256)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17358, 28, 17355])).
% 7.96/5.75 tff(17360,plain,
% 7.96/5.75 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s256) | (~node4(s256)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s256) | (~node4(s256)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17361,plain,
% 7.96/5.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s256) | (~node4(s256)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17362,plain,
% 7.96/5.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s256) | (~node4(s256))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17361, 17360])).
% 7.96/5.75 tff(17363,plain,
% 7.96/5.75 (always3(s256)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17362, 16, 17355])).
% 7.96/5.75 tff(17364,plain,
% 7.96/5.75 (succ(s256, s257) <=> succ(s256, s257)),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17365,axiom,(succ(s256, s257)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound257')).
% 7.96/5.75 tff(17366,plain,
% 7.96/5.75 (succ(s256, s257)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17365, 17364])).
% 7.96/5.75 tff(17367,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17368,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s256, s257)) | trans(s256, s257))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17369,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s256, s257)) | trans(s256, s257)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17368, 17367])).
% 7.96/5.75 tff(17370,plain,
% 7.96/5.75 (trans(s256, s257)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17369, 17366, 39])).
% 7.96/5.75 tff(17371,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17372,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s256, s257)) | (~always3(s256)) | always3(s257))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17373,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s256, s257)) | (~always3(s256)) | always3(s257)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17372, 17371])).
% 7.96/5.75 tff(17374,plain,
% 7.96/5.75 ((~always3(s256)) | always3(s257)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17373, 112, 17370])).
% 7.96/5.75 tff(17375,plain,
% 7.96/5.75 (always3(s257)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17374, 17363])).
% 7.96/5.75 tff(17376,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17377,plain,
% 7.96/5.75 (((~m_main_v_state(s257, c_busy)) | (~always3(s257))) <=> ((~always3(s257)) | (~m_main_v_state(s257, c_busy)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17378,plain,
% 7.96/5.75 (((~![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))))),
% 7.96/5.75 inference(monotonicity,[status(thm)],[17377])).
% 7.96/5.75 tff(17379,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(transitivity,[status(thm)],[17378, 17376])).
% 7.96/5.75 tff(17380,plain,
% 7.96/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s257, c_busy)) | (~always3(s257)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17381,plain,
% 7.96/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s257)) | (~m_main_v_state(s257, c_busy))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17380, 17379])).
% 7.96/5.75 tff(17382,plain,
% 7.96/5.75 (~m_main_v_state(s257, c_busy)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17381, 72, 17375])).
% 7.96/5.75 tff(17383,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17384,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s256, s257)) | node2(s256, s257))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17385,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s256, s257)) | node2(s256, s257)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17384, 17383])).
% 7.96/5.75 tff(17386,plain,
% 7.96/5.75 (node2(s256, s257)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17385, 7, 17370])).
% 7.96/5.75 tff(17387,plain,
% 7.96/5.75 (((~![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(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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17388,plain,
% 7.96/5.75 ((~![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(s256, c_ready)) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17389,plain,
% 7.96/5.75 ((~![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(s256, c_ready)) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17388, 17387])).
% 7.96/5.75 tff(17390,plain,
% 7.96/5.75 ((~m_main_v_state(s256, c_ready)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256))),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17389, 60, 17386])).
% 7.96/5.75 tff(17391,plain,
% 7.96/5.75 (~m_main_v_state(s256, c_ready)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17390, 17382, 17359])).
% 7.96/5.75 tff(17392,plain,
% 7.96/5.75 (~m_main_v_state(s256, c_busy)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17325, 72, 17363])).
% 7.96/5.75 tff(17393,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17394,plain,
% 7.96/5.75 ((~![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))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17395,plain,
% 7.96/5.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s256, c_busy) | m_main_v_state(s256, c_ready)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17394, 17393])).
% 7.96/5.75 tff(17396,plain,
% 7.96/5.75 ($false),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17395, 89, 17392, 17391])).
% 7.96/5.75 tff(17397,plain,(~node4(s256)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.75 tff(17398,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17399,plain,
% 7.96/5.75 ((node4(s256) | (~until5(s256)) | xuntil6(s256)) <=> (xuntil6(s256) | node4(s256) | (~until5(s256)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17400,plain,
% 7.96/5.75 (((~![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))))),
% 7.96/5.75 inference(monotonicity,[status(thm)],[17399])).
% 7.96/5.75 tff(17401,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(transitivity,[status(thm)],[17400, 17398])).
% 7.96/5.75 tff(17402,plain,
% 7.96/5.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s256) | (~until5(s256)) | xuntil6(s256))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17403,plain,
% 7.96/5.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s256) | node4(s256) | (~until5(s256))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17402, 17401])).
% 7.96/5.75 tff(17404,plain,
% 7.96/5.75 (xuntil6(s256) | (~until5(s256))),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17403, 352, 17397])).
% 7.96/5.75 tff(17405,plain,
% 7.96/5.75 (xuntil6(s256)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17404, 17354])).
% 7.96/5.75 tff(17406,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17407,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17408,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17407, 17406])).
% 7.96/5.75 tff(17409,plain,
% 7.96/5.75 ((~xuntil6(s256)) | until5(s257)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17408, 17366, 370])).
% 7.96/5.75 tff(17410,plain,
% 7.96/5.75 (until5(s257)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17409, 17405])).
% 7.96/5.75 tff(17411,assumption,(node4(s257)), introduced(assumption)).
% 7.96/5.75 tff(17412,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17413,plain,
% 7.96/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s257) | (~node4(s257)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17414,plain,
% 7.96/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s257) | (~node4(s257))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17413, 17412])).
% 7.96/5.75 tff(17415,plain,
% 7.96/5.75 (m_main_v_request(s257)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17414, 28, 17411])).
% 7.96/5.75 tff(17416,plain,
% 7.96/5.75 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s257) | (~node4(s257)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s257) | (~node4(s257)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17417,plain,
% 7.96/5.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s257) | (~node4(s257)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17418,plain,
% 7.96/5.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s257) | (~node4(s257))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17417, 17416])).
% 7.96/5.75 tff(17419,plain,
% 7.96/5.75 (always3(s257)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17418, 16, 17411])).
% 7.96/5.75 tff(17420,plain,
% 7.96/5.75 (succ(s257, s258) <=> succ(s257, s258)),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17421,axiom,(succ(s257, s258)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound258')).
% 7.96/5.75 tff(17422,plain,
% 7.96/5.75 (succ(s257, s258)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17421, 17420])).
% 7.96/5.75 tff(17423,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17424,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s257, s258)) | trans(s257, s258))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17425,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s257, s258)) | trans(s257, s258)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17424, 17423])).
% 7.96/5.75 tff(17426,plain,
% 7.96/5.75 (trans(s257, s258)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17425, 17422, 39])).
% 7.96/5.75 tff(17427,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17428,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s257, s258)) | (~always3(s257)) | always3(s258))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17429,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s257, s258)) | (~always3(s257)) | always3(s258)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17428, 17427])).
% 7.96/5.75 tff(17430,plain,
% 7.96/5.75 ((~always3(s257)) | always3(s258)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17429, 112, 17426])).
% 7.96/5.75 tff(17431,plain,
% 7.96/5.75 (always3(s258)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17430, 17419])).
% 7.96/5.75 tff(17432,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17433,plain,
% 7.96/5.75 (((~m_main_v_state(s258, c_busy)) | (~always3(s258))) <=> ((~always3(s258)) | (~m_main_v_state(s258, c_busy)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17434,plain,
% 7.96/5.75 (((~![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))))),
% 7.96/5.75 inference(monotonicity,[status(thm)],[17433])).
% 7.96/5.75 tff(17435,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(transitivity,[status(thm)],[17434, 17432])).
% 7.96/5.75 tff(17436,plain,
% 7.96/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s258, c_busy)) | (~always3(s258)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17437,plain,
% 7.96/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s258)) | (~m_main_v_state(s258, c_busy))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17436, 17435])).
% 7.96/5.75 tff(17438,plain,
% 7.96/5.75 (~m_main_v_state(s258, c_busy)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17437, 72, 17431])).
% 7.96/5.75 tff(17439,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17440,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s257, s258)) | node2(s257, s258))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17441,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s257, s258)) | node2(s257, s258)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17440, 17439])).
% 7.96/5.75 tff(17442,plain,
% 7.96/5.75 (node2(s257, s258)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17441, 7, 17426])).
% 7.96/5.75 tff(17443,plain,
% 7.96/5.75 (((~![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(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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17444,plain,
% 7.96/5.75 ((~![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(s257, c_ready)) | (~node2(s257, s258)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17445,plain,
% 7.96/5.75 ((~![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(s257, c_ready)) | (~node2(s257, s258)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17444, 17443])).
% 7.96/5.75 tff(17446,plain,
% 7.96/5.75 ((~m_main_v_state(s257, c_ready)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257))),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17445, 60, 17442])).
% 7.96/5.75 tff(17447,plain,
% 7.96/5.75 (~m_main_v_state(s257, c_ready)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17446, 17438, 17415])).
% 7.96/5.75 tff(17448,plain,
% 7.96/5.75 (~m_main_v_state(s257, c_busy)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17381, 72, 17419])).
% 7.96/5.75 tff(17449,plain,
% 7.96/5.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s257, c_busy) | m_main_v_state(s257, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s257, c_busy) | m_main_v_state(s257, c_ready))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17450,plain,
% 7.96/5.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s257, c_busy) | m_main_v_state(s257, c_ready))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17451,plain,
% 7.96/5.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s257, c_busy) | m_main_v_state(s257, c_ready)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17450, 17449])).
% 7.96/5.75 tff(17452,plain,
% 7.96/5.75 ($false),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17451, 89, 17448, 17447])).
% 7.96/5.75 tff(17453,plain,(~node4(s257)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.75 tff(17454,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17455,plain,
% 7.96/5.75 ((node4(s257) | (~until5(s257)) | xuntil6(s257)) <=> (xuntil6(s257) | node4(s257) | (~until5(s257)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17456,plain,
% 7.96/5.75 (((~![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))))),
% 7.96/5.75 inference(monotonicity,[status(thm)],[17455])).
% 7.96/5.75 tff(17457,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(transitivity,[status(thm)],[17456, 17454])).
% 7.96/5.75 tff(17458,plain,
% 7.96/5.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s257) | (~until5(s257)) | xuntil6(s257))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17459,plain,
% 7.96/5.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s257) | node4(s257) | (~until5(s257))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17458, 17457])).
% 7.96/5.75 tff(17460,plain,
% 7.96/5.75 (xuntil6(s257) | (~until5(s257))),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17459, 352, 17453])).
% 7.96/5.75 tff(17461,plain,
% 7.96/5.75 (xuntil6(s257)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17460, 17410])).
% 7.96/5.75 tff(17462,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17463,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17464,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17463, 17462])).
% 7.96/5.75 tff(17465,plain,
% 7.96/5.75 ((~xuntil6(s257)) | until5(s258)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17464, 17422, 370])).
% 7.96/5.75 tff(17466,plain,
% 7.96/5.75 (until5(s258)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17465, 17461])).
% 7.96/5.75 tff(17467,assumption,(node4(s258)), introduced(assumption)).
% 7.96/5.75 tff(17468,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17469,plain,
% 7.96/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s258) | (~node4(s258)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17470,plain,
% 7.96/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s258) | (~node4(s258))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17469, 17468])).
% 7.96/5.75 tff(17471,plain,
% 7.96/5.75 (m_main_v_request(s258)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17470, 28, 17467])).
% 7.96/5.75 tff(17472,plain,
% 7.96/5.75 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s258) | (~node4(s258)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s258) | (~node4(s258)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17473,plain,
% 7.96/5.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s258) | (~node4(s258)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17474,plain,
% 7.96/5.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s258) | (~node4(s258))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17473, 17472])).
% 7.96/5.75 tff(17475,plain,
% 7.96/5.75 (always3(s258)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17474, 16, 17467])).
% 7.96/5.75 tff(17476,plain,
% 7.96/5.75 (succ(s258, s259) <=> succ(s258, s259)),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17477,axiom,(succ(s258, s259)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound259')).
% 7.96/5.75 tff(17478,plain,
% 7.96/5.75 (succ(s258, s259)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17477, 17476])).
% 7.96/5.75 tff(17479,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17480,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s258, s259)) | trans(s258, s259))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17481,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s258, s259)) | trans(s258, s259)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17480, 17479])).
% 7.96/5.75 tff(17482,plain,
% 7.96/5.75 (trans(s258, s259)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17481, 17478, 39])).
% 7.96/5.75 tff(17483,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17484,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s258, s259)) | (~always3(s258)) | always3(s259))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17485,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s258, s259)) | (~always3(s258)) | always3(s259)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17484, 17483])).
% 7.96/5.75 tff(17486,plain,
% 7.96/5.75 ((~always3(s258)) | always3(s259)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17485, 112, 17482])).
% 7.96/5.75 tff(17487,plain,
% 7.96/5.75 (always3(s259)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17486, 17475])).
% 7.96/5.75 tff(17488,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17489,plain,
% 7.96/5.75 (((~m_main_v_state(s259, c_busy)) | (~always3(s259))) <=> ((~always3(s259)) | (~m_main_v_state(s259, c_busy)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17490,plain,
% 7.96/5.75 (((~![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))))),
% 7.96/5.75 inference(monotonicity,[status(thm)],[17489])).
% 7.96/5.75 tff(17491,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(transitivity,[status(thm)],[17490, 17488])).
% 7.96/5.75 tff(17492,plain,
% 7.96/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s259, c_busy)) | (~always3(s259)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17493,plain,
% 7.96/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s259)) | (~m_main_v_state(s259, c_busy))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17492, 17491])).
% 7.96/5.75 tff(17494,plain,
% 7.96/5.75 (~m_main_v_state(s259, c_busy)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17493, 72, 17487])).
% 7.96/5.75 tff(17495,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17496,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s258, s259)) | node2(s258, s259))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17497,plain,
% 7.96/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s258, s259)) | node2(s258, s259)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17496, 17495])).
% 7.96/5.75 tff(17498,plain,
% 7.96/5.75 (node2(s258, s259)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17497, 7, 17482])).
% 7.96/5.75 tff(17499,plain,
% 7.96/5.75 (((~![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(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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17500,plain,
% 7.96/5.75 ((~![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(s258, c_ready)) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258)))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17501,plain,
% 7.96/5.75 ((~![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(s258, c_ready)) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17500, 17499])).
% 7.96/5.75 tff(17502,plain,
% 7.96/5.75 ((~m_main_v_state(s258, c_ready)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258))),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17501, 60, 17498])).
% 7.96/5.75 tff(17503,plain,
% 7.96/5.75 (~m_main_v_state(s258, c_ready)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17502, 17494, 17471])).
% 7.96/5.75 tff(17504,plain,
% 7.96/5.75 (~m_main_v_state(s258, c_busy)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17437, 72, 17475])).
% 7.96/5.75 tff(17505,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17506,plain,
% 7.96/5.75 ((~![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))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17507,plain,
% 7.96/5.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s258, c_busy) | m_main_v_state(s258, c_ready)),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17506, 17505])).
% 7.96/5.75 tff(17508,plain,
% 7.96/5.75 ($false),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17507, 89, 17504, 17503])).
% 7.96/5.75 tff(17509,plain,(~node4(s258)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.75 tff(17510,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17511,plain,
% 7.96/5.75 ((node4(s258) | (~until5(s258)) | xuntil6(s258)) <=> (xuntil6(s258) | node4(s258) | (~until5(s258)))),
% 7.96/5.75 inference(rewrite,[status(thm)],[])).
% 7.96/5.75 tff(17512,plain,
% 7.96/5.75 (((~![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))))),
% 7.96/5.75 inference(monotonicity,[status(thm)],[17511])).
% 7.96/5.75 tff(17513,plain,
% 7.96/5.75 (((~![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)))),
% 7.96/5.75 inference(transitivity,[status(thm)],[17512, 17510])).
% 7.96/5.75 tff(17514,plain,
% 7.96/5.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s258) | (~until5(s258)) | xuntil6(s258))),
% 7.96/5.75 inference(quant_inst,[status(thm)],[])).
% 7.96/5.75 tff(17515,plain,
% 7.96/5.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s258) | node4(s258) | (~until5(s258))),
% 7.96/5.75 inference(modus_ponens,[status(thm)],[17514, 17513])).
% 7.96/5.75 tff(17516,plain,
% 7.96/5.75 (xuntil6(s258) | (~until5(s258))),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17515, 352, 17509])).
% 7.96/5.75 tff(17517,plain,
% 7.96/5.75 (xuntil6(s258)),
% 7.96/5.75 inference(unit_resolution,[status(thm)],[17516, 17466])).
% 7.96/5.75 tff(17518,plain,
% 7.96/5.75 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17519,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17520,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17519, 17518])).
% 7.96/5.76 tff(17521,plain,
% 7.96/5.76 ((~xuntil6(s258)) | until5(s259)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17520, 17478, 370])).
% 7.96/5.76 tff(17522,plain,
% 7.96/5.76 (until5(s259)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17521, 17517])).
% 7.96/5.76 tff(17523,assumption,(node4(s259)), introduced(assumption)).
% 7.96/5.76 tff(17524,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17525,plain,
% 7.96/5.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s259) | (~node4(s259)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17526,plain,
% 7.96/5.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s259) | (~node4(s259))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17525, 17524])).
% 7.96/5.76 tff(17527,plain,
% 7.96/5.76 (m_main_v_request(s259)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17526, 28, 17523])).
% 7.96/5.76 tff(17528,plain,
% 7.96/5.76 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s259) | (~node4(s259)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s259) | (~node4(s259)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17529,plain,
% 7.96/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s259) | (~node4(s259)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17530,plain,
% 7.96/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s259) | (~node4(s259))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17529, 17528])).
% 7.96/5.76 tff(17531,plain,
% 7.96/5.76 (always3(s259)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17530, 16, 17523])).
% 7.96/5.76 tff(17532,plain,
% 7.96/5.76 (succ(s259, s260) <=> succ(s259, s260)),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17533,axiom,(succ(s259, s260)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound260')).
% 7.96/5.76 tff(17534,plain,
% 7.96/5.76 (succ(s259, s260)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17533, 17532])).
% 7.96/5.76 tff(17535,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17536,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s259, s260)) | trans(s259, s260))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17537,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s259, s260)) | trans(s259, s260)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17536, 17535])).
% 7.96/5.76 tff(17538,plain,
% 7.96/5.76 (trans(s259, s260)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17537, 17534, 39])).
% 7.96/5.76 tff(17539,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17540,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s259, s260)) | (~always3(s259)) | always3(s260))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17541,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s259, s260)) | (~always3(s259)) | always3(s260)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17540, 17539])).
% 7.96/5.76 tff(17542,plain,
% 7.96/5.76 ((~always3(s259)) | always3(s260)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17541, 112, 17538])).
% 7.96/5.76 tff(17543,plain,
% 7.96/5.76 (always3(s260)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17542, 17531])).
% 7.96/5.76 tff(17544,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17545,plain,
% 7.96/5.76 (((~m_main_v_state(s260, c_busy)) | (~always3(s260))) <=> ((~always3(s260)) | (~m_main_v_state(s260, c_busy)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17546,plain,
% 7.96/5.76 (((~![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))))),
% 7.96/5.76 inference(monotonicity,[status(thm)],[17545])).
% 7.96/5.76 tff(17547,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(transitivity,[status(thm)],[17546, 17544])).
% 7.96/5.76 tff(17548,plain,
% 7.96/5.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s260, c_busy)) | (~always3(s260)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17549,plain,
% 7.96/5.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s260)) | (~m_main_v_state(s260, c_busy))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17548, 17547])).
% 7.96/5.76 tff(17550,plain,
% 7.96/5.76 (~m_main_v_state(s260, c_busy)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17549, 72, 17543])).
% 7.96/5.76 tff(17551,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17552,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s259, s260)) | node2(s259, s260))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17553,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s259, s260)) | node2(s259, s260)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17552, 17551])).
% 7.96/5.76 tff(17554,plain,
% 7.96/5.76 (node2(s259, s260)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17553, 7, 17538])).
% 7.96/5.76 tff(17555,plain,
% 7.96/5.76 (((~![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(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)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17556,plain,
% 7.96/5.76 ((~![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(s259, c_ready)) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17557,plain,
% 7.96/5.76 ((~![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(s259, c_ready)) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17556, 17555])).
% 7.96/5.76 tff(17558,plain,
% 7.96/5.76 ((~m_main_v_state(s259, c_ready)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259))),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17557, 60, 17554])).
% 7.96/5.76 tff(17559,plain,
% 7.96/5.76 (~m_main_v_state(s259, c_ready)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17558, 17550, 17527])).
% 7.96/5.76 tff(17560,plain,
% 7.96/5.76 (~m_main_v_state(s259, c_busy)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17493, 72, 17531])).
% 7.96/5.76 tff(17561,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17562,plain,
% 7.96/5.76 ((~![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))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17563,plain,
% 7.96/5.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s259, c_busy) | m_main_v_state(s259, c_ready)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17562, 17561])).
% 7.96/5.76 tff(17564,plain,
% 7.96/5.76 ($false),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17563, 89, 17560, 17559])).
% 7.96/5.76 tff(17565,plain,(~node4(s259)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.76 tff(17566,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17567,plain,
% 7.96/5.76 ((node4(s259) | (~until5(s259)) | xuntil6(s259)) <=> (xuntil6(s259) | node4(s259) | (~until5(s259)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17568,plain,
% 7.96/5.76 (((~![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))))),
% 7.96/5.76 inference(monotonicity,[status(thm)],[17567])).
% 7.96/5.76 tff(17569,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(transitivity,[status(thm)],[17568, 17566])).
% 7.96/5.76 tff(17570,plain,
% 7.96/5.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s259) | (~until5(s259)) | xuntil6(s259))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17571,plain,
% 7.96/5.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s259) | node4(s259) | (~until5(s259))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17570, 17569])).
% 7.96/5.76 tff(17572,plain,
% 7.96/5.76 (xuntil6(s259) | (~until5(s259))),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17571, 352, 17565])).
% 7.96/5.76 tff(17573,plain,
% 7.96/5.76 (xuntil6(s259)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17572, 17522])).
% 7.96/5.76 tff(17574,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17575,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17576,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17575, 17574])).
% 7.96/5.76 tff(17577,plain,
% 7.96/5.76 ((~xuntil6(s259)) | until5(s260)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17576, 17534, 370])).
% 7.96/5.76 tff(17578,plain,
% 7.96/5.76 (until5(s260)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17577, 17573])).
% 7.96/5.76 tff(17579,assumption,(node4(s260)), introduced(assumption)).
% 7.96/5.76 tff(17580,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17581,plain,
% 7.96/5.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s260) | (~node4(s260)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17582,plain,
% 7.96/5.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s260) | (~node4(s260))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17581, 17580])).
% 7.96/5.76 tff(17583,plain,
% 7.96/5.76 (m_main_v_request(s260)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17582, 28, 17579])).
% 7.96/5.76 tff(17584,plain,
% 7.96/5.76 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s260) | (~node4(s260)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s260) | (~node4(s260)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17585,plain,
% 7.96/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s260) | (~node4(s260)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17586,plain,
% 7.96/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s260) | (~node4(s260))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17585, 17584])).
% 7.96/5.76 tff(17587,plain,
% 7.96/5.76 (always3(s260)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17586, 16, 17579])).
% 7.96/5.76 tff(17588,plain,
% 7.96/5.76 (succ(s260, s261) <=> succ(s260, s261)),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17589,axiom,(succ(s260, s261)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound261')).
% 7.96/5.76 tff(17590,plain,
% 7.96/5.76 (succ(s260, s261)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17589, 17588])).
% 7.96/5.76 tff(17591,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17592,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s260, s261)) | trans(s260, s261))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17593,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s260, s261)) | trans(s260, s261)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17592, 17591])).
% 7.96/5.76 tff(17594,plain,
% 7.96/5.76 (trans(s260, s261)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17593, 17590, 39])).
% 7.96/5.76 tff(17595,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17596,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s260, s261)) | (~always3(s260)) | always3(s261))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17597,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s260, s261)) | (~always3(s260)) | always3(s261)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17596, 17595])).
% 7.96/5.76 tff(17598,plain,
% 7.96/5.76 ((~always3(s260)) | always3(s261)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17597, 112, 17594])).
% 7.96/5.76 tff(17599,plain,
% 7.96/5.76 (always3(s261)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17598, 17587])).
% 7.96/5.76 tff(17600,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17601,plain,
% 7.96/5.76 (((~m_main_v_state(s261, c_busy)) | (~always3(s261))) <=> ((~always3(s261)) | (~m_main_v_state(s261, c_busy)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17602,plain,
% 7.96/5.76 (((~![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))))),
% 7.96/5.76 inference(monotonicity,[status(thm)],[17601])).
% 7.96/5.76 tff(17603,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(transitivity,[status(thm)],[17602, 17600])).
% 7.96/5.76 tff(17604,plain,
% 7.96/5.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s261, c_busy)) | (~always3(s261)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17605,plain,
% 7.96/5.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s261)) | (~m_main_v_state(s261, c_busy))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17604, 17603])).
% 7.96/5.76 tff(17606,plain,
% 7.96/5.76 (~m_main_v_state(s261, c_busy)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17605, 72, 17599])).
% 7.96/5.76 tff(17607,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17608,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s260, s261)) | node2(s260, s261))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17609,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s260, s261)) | node2(s260, s261)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17608, 17607])).
% 7.96/5.76 tff(17610,plain,
% 7.96/5.76 (node2(s260, s261)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17609, 7, 17594])).
% 7.96/5.76 tff(17611,plain,
% 7.96/5.76 (((~![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(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)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17612,plain,
% 7.96/5.76 ((~![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(s260, c_ready)) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17613,plain,
% 7.96/5.76 ((~![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(s260, c_ready)) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17612, 17611])).
% 7.96/5.76 tff(17614,plain,
% 7.96/5.76 ((~m_main_v_state(s260, c_ready)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260))),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17613, 60, 17610])).
% 7.96/5.76 tff(17615,plain,
% 7.96/5.76 (~m_main_v_state(s260, c_ready)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17614, 17606, 17583])).
% 7.96/5.76 tff(17616,plain,
% 7.96/5.76 (~m_main_v_state(s260, c_busy)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17549, 72, 17587])).
% 7.96/5.76 tff(17617,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17618,plain,
% 7.96/5.76 ((~![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))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17619,plain,
% 7.96/5.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s260, c_busy) | m_main_v_state(s260, c_ready)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17618, 17617])).
% 7.96/5.76 tff(17620,plain,
% 7.96/5.76 ($false),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17619, 89, 17616, 17615])).
% 7.96/5.76 tff(17621,plain,(~node4(s260)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.76 tff(17622,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17623,plain,
% 7.96/5.76 ((node4(s260) | (~until5(s260)) | xuntil6(s260)) <=> (xuntil6(s260) | node4(s260) | (~until5(s260)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17624,plain,
% 7.96/5.76 (((~![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))))),
% 7.96/5.76 inference(monotonicity,[status(thm)],[17623])).
% 7.96/5.76 tff(17625,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(transitivity,[status(thm)],[17624, 17622])).
% 7.96/5.76 tff(17626,plain,
% 7.96/5.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s260) | (~until5(s260)) | xuntil6(s260))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17627,plain,
% 7.96/5.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s260) | node4(s260) | (~until5(s260))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17626, 17625])).
% 7.96/5.76 tff(17628,plain,
% 7.96/5.76 (xuntil6(s260) | (~until5(s260))),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17627, 352, 17621])).
% 7.96/5.76 tff(17629,plain,
% 7.96/5.76 (xuntil6(s260)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17628, 17578])).
% 7.96/5.76 tff(17630,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17631,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17632,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17631, 17630])).
% 7.96/5.76 tff(17633,plain,
% 7.96/5.76 ((~xuntil6(s260)) | until5(s261)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17632, 17590, 370])).
% 7.96/5.76 tff(17634,plain,
% 7.96/5.76 (until5(s261)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17633, 17629])).
% 7.96/5.76 tff(17635,assumption,(node4(s261)), introduced(assumption)).
% 7.96/5.76 tff(17636,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17637,plain,
% 7.96/5.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s261) | (~node4(s261)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17638,plain,
% 7.96/5.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s261) | (~node4(s261))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17637, 17636])).
% 7.96/5.76 tff(17639,plain,
% 7.96/5.76 (m_main_v_request(s261)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17638, 28, 17635])).
% 7.96/5.76 tff(17640,plain,
% 7.96/5.76 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s261) | (~node4(s261)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s261) | (~node4(s261)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17641,plain,
% 7.96/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s261) | (~node4(s261)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17642,plain,
% 7.96/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s261) | (~node4(s261))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17641, 17640])).
% 7.96/5.76 tff(17643,plain,
% 7.96/5.76 (always3(s261)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17642, 16, 17635])).
% 7.96/5.76 tff(17644,plain,
% 7.96/5.76 (succ(s261, s262) <=> succ(s261, s262)),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17645,axiom,(succ(s261, s262)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound262')).
% 7.96/5.76 tff(17646,plain,
% 7.96/5.76 (succ(s261, s262)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17645, 17644])).
% 7.96/5.76 tff(17647,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17648,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17649,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17648, 17647])).
% 7.96/5.76 tff(17650,plain,
% 7.96/5.76 (trans(s261, s262)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17649, 17646, 39])).
% 7.96/5.76 tff(17651,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17652,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s261, s262)) | (~always3(s261)) | always3(s262))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17653,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s261, s262)) | (~always3(s261)) | always3(s262)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17652, 17651])).
% 7.96/5.76 tff(17654,plain,
% 7.96/5.76 ((~always3(s261)) | always3(s262)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17653, 112, 17650])).
% 7.96/5.76 tff(17655,plain,
% 7.96/5.76 (always3(s262)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17654, 17643])).
% 7.96/5.76 tff(17656,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17657,plain,
% 7.96/5.76 (((~m_main_v_state(s262, c_busy)) | (~always3(s262))) <=> ((~always3(s262)) | (~m_main_v_state(s262, c_busy)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17658,plain,
% 7.96/5.76 (((~![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))))),
% 7.96/5.76 inference(monotonicity,[status(thm)],[17657])).
% 7.96/5.76 tff(17659,plain,
% 7.96/5.76 (((~![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)))),
% 7.96/5.76 inference(transitivity,[status(thm)],[17658, 17656])).
% 7.96/5.76 tff(17660,plain,
% 7.96/5.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s262, c_busy)) | (~always3(s262)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17661,plain,
% 7.96/5.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s262)) | (~m_main_v_state(s262, c_busy))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17660, 17659])).
% 7.96/5.76 tff(17662,plain,
% 7.96/5.76 (~m_main_v_state(s262, c_busy)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17661, 72, 17655])).
% 7.96/5.76 tff(17663,plain,
% 7.96/5.76 (((~![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))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17664,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s261, s262)) | node2(s261, s262))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17665,plain,
% 7.96/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s261, s262)) | node2(s261, s262)),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17664, 17663])).
% 7.96/5.76 tff(17666,plain,
% 7.96/5.76 (node2(s261, s262)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17665, 7, 17650])).
% 7.96/5.76 tff(17667,plain,
% 7.96/5.76 (((~![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(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)))),
% 7.96/5.76 inference(rewrite,[status(thm)],[])).
% 7.96/5.76 tff(17668,plain,
% 7.96/5.76 ((~![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(s261, c_ready)) | (~node2(s261, s262)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261)))),
% 7.96/5.76 inference(quant_inst,[status(thm)],[])).
% 7.96/5.76 tff(17669,plain,
% 7.96/5.76 ((~![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(s261, c_ready)) | (~node2(s261, s262)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261))),
% 7.96/5.76 inference(modus_ponens,[status(thm)],[17668, 17667])).
% 7.96/5.76 tff(17670,plain,
% 7.96/5.76 ((~m_main_v_state(s261, c_ready)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261))),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17669, 60, 17666])).
% 7.96/5.76 tff(17671,plain,
% 7.96/5.76 (~m_main_v_state(s261, c_ready)),
% 7.96/5.76 inference(unit_resolution,[status(thm)],[17670, 17662, 17639])).
% 7.96/5.77 tff(17672,plain,
% 7.96/5.77 (~m_main_v_state(s261, c_busy)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17605, 72, 17643])).
% 7.96/5.77 tff(17673,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17674,plain,
% 7.96/5.77 ((~![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))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17675,plain,
% 7.96/5.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s261, c_busy) | m_main_v_state(s261, c_ready)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17674, 17673])).
% 7.96/5.77 tff(17676,plain,
% 7.96/5.77 ($false),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17675, 89, 17672, 17671])).
% 7.96/5.77 tff(17677,plain,(~node4(s261)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.77 tff(17678,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17679,plain,
% 7.96/5.77 ((node4(s261) | (~until5(s261)) | xuntil6(s261)) <=> (xuntil6(s261) | node4(s261) | (~until5(s261)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17680,plain,
% 7.96/5.77 (((~![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))))),
% 7.96/5.77 inference(monotonicity,[status(thm)],[17679])).
% 7.96/5.77 tff(17681,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(transitivity,[status(thm)],[17680, 17678])).
% 7.96/5.77 tff(17682,plain,
% 7.96/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s261) | (~until5(s261)) | xuntil6(s261))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17683,plain,
% 7.96/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s261) | node4(s261) | (~until5(s261))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17682, 17681])).
% 7.96/5.77 tff(17684,plain,
% 7.96/5.77 (xuntil6(s261) | (~until5(s261))),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17683, 352, 17677])).
% 7.96/5.77 tff(17685,plain,
% 7.96/5.77 (xuntil6(s261)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17684, 17634])).
% 7.96/5.77 tff(17686,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17687,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17688,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17687, 17686])).
% 7.96/5.77 tff(17689,plain,
% 7.96/5.77 ((~xuntil6(s261)) | until5(s262)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17688, 17646, 370])).
% 7.96/5.77 tff(17690,plain,
% 7.96/5.77 (until5(s262)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17689, 17685])).
% 7.96/5.77 tff(17691,assumption,(node4(s262)), introduced(assumption)).
% 7.96/5.77 tff(17692,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17693,plain,
% 7.96/5.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s262) | (~node4(s262)))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17694,plain,
% 7.96/5.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s262) | (~node4(s262))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17693, 17692])).
% 7.96/5.77 tff(17695,plain,
% 7.96/5.77 (m_main_v_request(s262)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17694, 28, 17691])).
% 7.96/5.77 tff(17696,plain,
% 7.96/5.77 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s262) | (~node4(s262)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s262) | (~node4(s262)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17697,plain,
% 7.96/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s262) | (~node4(s262)))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17698,plain,
% 7.96/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s262) | (~node4(s262))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17697, 17696])).
% 7.96/5.77 tff(17699,plain,
% 7.96/5.77 (always3(s262)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17698, 16, 17691])).
% 7.96/5.77 tff(17700,plain,
% 7.96/5.77 (succ(s262, s263) <=> succ(s262, s263)),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17701,axiom,(succ(s262, s263)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound263')).
% 7.96/5.77 tff(17702,plain,
% 7.96/5.77 (succ(s262, s263)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17701, 17700])).
% 7.96/5.77 tff(17703,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17704,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17705,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17704, 17703])).
% 7.96/5.77 tff(17706,plain,
% 7.96/5.77 (trans(s262, s263)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17705, 17702, 39])).
% 7.96/5.77 tff(17707,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17708,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s262, s263)) | (~always3(s262)) | always3(s263))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17709,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s262, s263)) | (~always3(s262)) | always3(s263)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17708, 17707])).
% 7.96/5.77 tff(17710,plain,
% 7.96/5.77 ((~always3(s262)) | always3(s263)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17709, 112, 17706])).
% 7.96/5.77 tff(17711,plain,
% 7.96/5.77 (always3(s263)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17710, 17699])).
% 7.96/5.77 tff(17712,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17713,plain,
% 7.96/5.77 (((~m_main_v_state(s263, c_busy)) | (~always3(s263))) <=> ((~always3(s263)) | (~m_main_v_state(s263, c_busy)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17714,plain,
% 7.96/5.77 (((~![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))))),
% 7.96/5.77 inference(monotonicity,[status(thm)],[17713])).
% 7.96/5.77 tff(17715,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(transitivity,[status(thm)],[17714, 17712])).
% 7.96/5.77 tff(17716,plain,
% 7.96/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s263, c_busy)) | (~always3(s263)))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17717,plain,
% 7.96/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s263)) | (~m_main_v_state(s263, c_busy))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17716, 17715])).
% 7.96/5.77 tff(17718,plain,
% 7.96/5.77 (~m_main_v_state(s263, c_busy)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17717, 72, 17711])).
% 7.96/5.77 tff(17719,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17720,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s262, s263)) | node2(s262, s263))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17721,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s262, s263)) | node2(s262, s263)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17720, 17719])).
% 7.96/5.77 tff(17722,plain,
% 7.96/5.77 (node2(s262, s263)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17721, 7, 17706])).
% 7.96/5.77 tff(17723,plain,
% 7.96/5.77 (((~![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(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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17724,plain,
% 7.96/5.77 ((~![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(s262, c_ready)) | (~node2(s262, s263)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262)))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17725,plain,
% 7.96/5.77 ((~![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(s262, c_ready)) | (~node2(s262, s263)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17724, 17723])).
% 7.96/5.77 tff(17726,plain,
% 7.96/5.77 ((~m_main_v_state(s262, c_ready)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262))),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17725, 60, 17722])).
% 7.96/5.77 tff(17727,plain,
% 7.96/5.77 (~m_main_v_state(s262, c_ready)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17726, 17718, 17695])).
% 7.96/5.77 tff(17728,plain,
% 7.96/5.77 (~m_main_v_state(s262, c_busy)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17661, 72, 17699])).
% 7.96/5.77 tff(17729,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17730,plain,
% 7.96/5.77 ((~![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))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17731,plain,
% 7.96/5.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s262, c_busy) | m_main_v_state(s262, c_ready)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17730, 17729])).
% 7.96/5.77 tff(17732,plain,
% 7.96/5.77 ($false),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17731, 89, 17728, 17727])).
% 7.96/5.77 tff(17733,plain,(~node4(s262)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.77 tff(17734,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17735,plain,
% 7.96/5.77 ((node4(s262) | (~until5(s262)) | xuntil6(s262)) <=> (xuntil6(s262) | node4(s262) | (~until5(s262)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17736,plain,
% 7.96/5.77 (((~![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))))),
% 7.96/5.77 inference(monotonicity,[status(thm)],[17735])).
% 7.96/5.77 tff(17737,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(transitivity,[status(thm)],[17736, 17734])).
% 7.96/5.77 tff(17738,plain,
% 7.96/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s262) | (~until5(s262)) | xuntil6(s262))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17739,plain,
% 7.96/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s262) | node4(s262) | (~until5(s262))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17738, 17737])).
% 7.96/5.77 tff(17740,plain,
% 7.96/5.77 (xuntil6(s262) | (~until5(s262))),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17739, 352, 17733])).
% 7.96/5.77 tff(17741,plain,
% 7.96/5.77 (xuntil6(s262)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17740, 17690])).
% 7.96/5.77 tff(17742,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17743,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17744,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17743, 17742])).
% 7.96/5.77 tff(17745,plain,
% 7.96/5.77 ((~xuntil6(s262)) | until5(s263)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17744, 17702, 370])).
% 7.96/5.77 tff(17746,plain,
% 7.96/5.77 (until5(s263)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17745, 17741])).
% 7.96/5.77 tff(17747,assumption,(node4(s263)), introduced(assumption)).
% 7.96/5.77 tff(17748,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17749,plain,
% 7.96/5.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s263) | (~node4(s263)))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17750,plain,
% 7.96/5.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s263) | (~node4(s263))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17749, 17748])).
% 7.96/5.77 tff(17751,plain,
% 7.96/5.77 (m_main_v_request(s263)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17750, 28, 17747])).
% 7.96/5.77 tff(17752,plain,
% 7.96/5.77 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s263) | (~node4(s263)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s263) | (~node4(s263)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17753,plain,
% 7.96/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s263) | (~node4(s263)))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17754,plain,
% 7.96/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s263) | (~node4(s263))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17753, 17752])).
% 7.96/5.77 tff(17755,plain,
% 7.96/5.77 (always3(s263)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17754, 16, 17747])).
% 7.96/5.77 tff(17756,plain,
% 7.96/5.77 (succ(s263, s264) <=> succ(s263, s264)),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17757,axiom,(succ(s263, s264)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound264')).
% 7.96/5.77 tff(17758,plain,
% 7.96/5.77 (succ(s263, s264)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17757, 17756])).
% 7.96/5.77 tff(17759,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17760,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17761,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17760, 17759])).
% 7.96/5.77 tff(17762,plain,
% 7.96/5.77 (trans(s263, s264)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17761, 17758, 39])).
% 7.96/5.77 tff(17763,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17764,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s263, s264)) | (~always3(s263)) | always3(s264))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17765,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s263, s264)) | (~always3(s263)) | always3(s264)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17764, 17763])).
% 7.96/5.77 tff(17766,plain,
% 7.96/5.77 ((~always3(s263)) | always3(s264)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17765, 112, 17762])).
% 7.96/5.77 tff(17767,plain,
% 7.96/5.77 (always3(s264)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17766, 17755])).
% 7.96/5.77 tff(17768,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17769,plain,
% 7.96/5.77 (((~m_main_v_state(s264, c_busy)) | (~always3(s264))) <=> ((~always3(s264)) | (~m_main_v_state(s264, c_busy)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17770,plain,
% 7.96/5.77 (((~![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))))),
% 7.96/5.77 inference(monotonicity,[status(thm)],[17769])).
% 7.96/5.77 tff(17771,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(transitivity,[status(thm)],[17770, 17768])).
% 7.96/5.77 tff(17772,plain,
% 7.96/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s264, c_busy)) | (~always3(s264)))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17773,plain,
% 7.96/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s264)) | (~m_main_v_state(s264, c_busy))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17772, 17771])).
% 7.96/5.77 tff(17774,plain,
% 7.96/5.77 (~m_main_v_state(s264, c_busy)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17773, 72, 17767])).
% 7.96/5.77 tff(17775,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17776,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s263, s264)) | node2(s263, s264))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17777,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s263, s264)) | node2(s263, s264)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17776, 17775])).
% 7.96/5.77 tff(17778,plain,
% 7.96/5.77 (node2(s263, s264)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17777, 7, 17762])).
% 7.96/5.77 tff(17779,plain,
% 7.96/5.77 (((~![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(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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17780,plain,
% 7.96/5.77 ((~![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(s263, c_ready)) | (~node2(s263, s264)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263)))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17781,plain,
% 7.96/5.77 ((~![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(s263, c_ready)) | (~node2(s263, s264)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17780, 17779])).
% 7.96/5.77 tff(17782,plain,
% 7.96/5.77 ((~m_main_v_state(s263, c_ready)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263))),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17781, 60, 17778])).
% 7.96/5.77 tff(17783,plain,
% 7.96/5.77 (~m_main_v_state(s263, c_ready)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17782, 17774, 17751])).
% 7.96/5.77 tff(17784,plain,
% 7.96/5.77 (~m_main_v_state(s263, c_busy)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17717, 72, 17755])).
% 7.96/5.77 tff(17785,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17786,plain,
% 7.96/5.77 ((~![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))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17787,plain,
% 7.96/5.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s263, c_busy) | m_main_v_state(s263, c_ready)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17786, 17785])).
% 7.96/5.77 tff(17788,plain,
% 7.96/5.77 ($false),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17787, 89, 17784, 17783])).
% 7.96/5.77 tff(17789,plain,(~node4(s263)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.77 tff(17790,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17791,plain,
% 7.96/5.77 ((node4(s263) | (~until5(s263)) | xuntil6(s263)) <=> (xuntil6(s263) | node4(s263) | (~until5(s263)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17792,plain,
% 7.96/5.77 (((~![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))))),
% 7.96/5.77 inference(monotonicity,[status(thm)],[17791])).
% 7.96/5.77 tff(17793,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(transitivity,[status(thm)],[17792, 17790])).
% 7.96/5.77 tff(17794,plain,
% 7.96/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s263) | (~until5(s263)) | xuntil6(s263))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17795,plain,
% 7.96/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s263) | node4(s263) | (~until5(s263))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17794, 17793])).
% 7.96/5.77 tff(17796,plain,
% 7.96/5.77 (xuntil6(s263) | (~until5(s263))),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17795, 352, 17789])).
% 7.96/5.77 tff(17797,plain,
% 7.96/5.77 (xuntil6(s263)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17796, 17746])).
% 7.96/5.77 tff(17798,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17799,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17800,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17799, 17798])).
% 7.96/5.77 tff(17801,plain,
% 7.96/5.77 ((~xuntil6(s263)) | until5(s264)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17800, 17758, 370])).
% 7.96/5.77 tff(17802,plain,
% 7.96/5.77 (until5(s264)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17801, 17797])).
% 7.96/5.77 tff(17803,assumption,(node4(s264)), introduced(assumption)).
% 7.96/5.77 tff(17804,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17805,plain,
% 7.96/5.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s264) | (~node4(s264)))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17806,plain,
% 7.96/5.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s264) | (~node4(s264))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17805, 17804])).
% 7.96/5.77 tff(17807,plain,
% 7.96/5.77 (m_main_v_request(s264)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17806, 28, 17803])).
% 7.96/5.77 tff(17808,plain,
% 7.96/5.77 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s264) | (~node4(s264)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s264) | (~node4(s264)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17809,plain,
% 7.96/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s264) | (~node4(s264)))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17810,plain,
% 7.96/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s264) | (~node4(s264))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17809, 17808])).
% 7.96/5.77 tff(17811,plain,
% 7.96/5.77 (always3(s264)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17810, 16, 17803])).
% 7.96/5.77 tff(17812,plain,
% 7.96/5.77 (succ(s264, s265) <=> succ(s264, s265)),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17813,axiom,(succ(s264, s265)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound265')).
% 7.96/5.77 tff(17814,plain,
% 7.96/5.77 (succ(s264, s265)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17813, 17812])).
% 7.96/5.77 tff(17815,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17816,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s264, s265)) | trans(s264, s265))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17817,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s264, s265)) | trans(s264, s265)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17816, 17815])).
% 7.96/5.77 tff(17818,plain,
% 7.96/5.77 (trans(s264, s265)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17817, 17814, 39])).
% 7.96/5.77 tff(17819,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17820,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s264, s265)) | (~always3(s264)) | always3(s265))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17821,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s264, s265)) | (~always3(s264)) | always3(s265)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17820, 17819])).
% 7.96/5.77 tff(17822,plain,
% 7.96/5.77 ((~always3(s264)) | always3(s265)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17821, 112, 17818])).
% 7.96/5.77 tff(17823,plain,
% 7.96/5.77 (always3(s265)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17822, 17811])).
% 7.96/5.77 tff(17824,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17825,plain,
% 7.96/5.77 (((~m_main_v_state(s265, c_busy)) | (~always3(s265))) <=> ((~always3(s265)) | (~m_main_v_state(s265, c_busy)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17826,plain,
% 7.96/5.77 (((~![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))))),
% 7.96/5.77 inference(monotonicity,[status(thm)],[17825])).
% 7.96/5.77 tff(17827,plain,
% 7.96/5.77 (((~![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)))),
% 7.96/5.77 inference(transitivity,[status(thm)],[17826, 17824])).
% 7.96/5.77 tff(17828,plain,
% 7.96/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s265, c_busy)) | (~always3(s265)))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17829,plain,
% 7.96/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s265)) | (~m_main_v_state(s265, c_busy))),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17828, 17827])).
% 7.96/5.77 tff(17830,plain,
% 7.96/5.77 (~m_main_v_state(s265, c_busy)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17829, 72, 17823])).
% 7.96/5.77 tff(17831,plain,
% 7.96/5.77 (((~![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))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17832,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s264, s265)) | node2(s264, s265))),
% 7.96/5.77 inference(quant_inst,[status(thm)],[])).
% 7.96/5.77 tff(17833,plain,
% 7.96/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s264, s265)) | node2(s264, s265)),
% 7.96/5.77 inference(modus_ponens,[status(thm)],[17832, 17831])).
% 7.96/5.77 tff(17834,plain,
% 7.96/5.77 (node2(s264, s265)),
% 7.96/5.77 inference(unit_resolution,[status(thm)],[17833, 7, 17818])).
% 7.96/5.77 tff(17835,plain,
% 7.96/5.77 (((~![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(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)))),
% 7.96/5.77 inference(rewrite,[status(thm)],[])).
% 7.96/5.77 tff(17836,plain,
% 7.96/5.77 ((~![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(s264, c_ready)) | (~node2(s264, s265)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264)))),
% 7.96/5.78 inference(quant_inst,[status(thm)],[])).
% 7.96/5.78 tff(17837,plain,
% 7.96/5.78 ((~![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(s264, c_ready)) | (~node2(s264, s265)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264))),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[17836, 17835])).
% 7.96/5.78 tff(17838,plain,
% 7.96/5.78 ((~m_main_v_state(s264, c_ready)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17837, 60, 17834])).
% 7.96/5.78 tff(17839,plain,
% 7.96/5.78 (~m_main_v_state(s264, c_ready)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17838, 17830, 17807])).
% 7.96/5.78 tff(17840,plain,
% 7.96/5.78 (~m_main_v_state(s264, c_busy)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17773, 72, 17811])).
% 7.96/5.78 tff(17841,plain,
% 7.96/5.78 (((~![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))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(17842,plain,
% 7.96/5.78 ((~![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))),
% 7.96/5.78 inference(quant_inst,[status(thm)],[])).
% 7.96/5.78 tff(17843,plain,
% 7.96/5.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s264, c_busy) | m_main_v_state(s264, c_ready)),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[17842, 17841])).
% 7.96/5.78 tff(17844,plain,
% 7.96/5.78 ($false),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17843, 89, 17840, 17839])).
% 7.96/5.78 tff(17845,plain,(~node4(s264)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.78 tff(17846,plain,
% 7.96/5.78 (((~![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)))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(17847,plain,
% 7.96/5.78 ((node4(s264) | (~until5(s264)) | xuntil6(s264)) <=> (xuntil6(s264) | node4(s264) | (~until5(s264)))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(17848,plain,
% 7.96/5.78 (((~![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))))),
% 7.96/5.78 inference(monotonicity,[status(thm)],[17847])).
% 7.96/5.78 tff(17849,plain,
% 7.96/5.78 (((~![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)))),
% 7.96/5.78 inference(transitivity,[status(thm)],[17848, 17846])).
% 7.96/5.78 tff(17850,plain,
% 7.96/5.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s264) | (~until5(s264)) | xuntil6(s264))),
% 7.96/5.78 inference(quant_inst,[status(thm)],[])).
% 7.96/5.78 tff(17851,plain,
% 7.96/5.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s264) | node4(s264) | (~until5(s264))),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[17850, 17849])).
% 7.96/5.78 tff(17852,plain,
% 7.96/5.78 (xuntil6(s264) | (~until5(s264))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17851, 352, 17845])).
% 7.96/5.78 tff(17853,plain,
% 7.96/5.78 (xuntil6(s264)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17852, 17802])).
% 7.96/5.78 tff(17854,plain,
% 7.96/5.78 (((~![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))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(17855,plain,
% 7.96/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265))),
% 7.96/5.78 inference(quant_inst,[status(thm)],[])).
% 7.96/5.78 tff(17856,plain,
% 7.96/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265)),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[17855, 17854])).
% 7.96/5.78 tff(17857,plain,
% 7.96/5.78 ((~xuntil6(s264)) | until5(s265)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17856, 17814, 370])).
% 7.96/5.78 tff(17858,plain,
% 7.96/5.78 (until5(s265)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17857, 17853])).
% 7.96/5.78 tff(17859,assumption,(~xuntil6(s266)), introduced(assumption)).
% 7.96/5.78 tff(17860,assumption,(~always3(s266)), introduced(assumption)).
% 7.96/5.78 tff(17861,plain,
% 7.96/5.78 (succ(s265, s266) <=> succ(s265, s266)),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(17862,axiom,(succ(s265, s266)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound266')).
% 7.96/5.78 tff(17863,plain,
% 7.96/5.78 (succ(s265, s266)),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[17862, 17861])).
% 7.96/5.78 tff(17864,plain,
% 7.96/5.78 (((~![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))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(17865,plain,
% 7.96/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))),
% 7.96/5.78 inference(quant_inst,[status(thm)],[])).
% 7.96/5.78 tff(17866,plain,
% 7.96/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266)),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[17865, 17864])).
% 7.96/5.78 tff(17867,plain,
% 7.96/5.78 (trans(s265, s266)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17866, 17863, 39])).
% 7.96/5.78 tff(17868,plain,
% 7.96/5.78 (((~![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))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(17869,plain,
% 7.96/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s265, s266)) | (~always3(s265)) | always3(s266))),
% 7.96/5.78 inference(quant_inst,[status(thm)],[])).
% 7.96/5.78 tff(17870,plain,
% 7.96/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s265, s266)) | (~always3(s265)) | always3(s266)),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[17869, 17868])).
% 7.96/5.78 tff(17871,plain,
% 7.96/5.78 ((~always3(s265)) | always3(s266)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17870, 112, 17867])).
% 7.96/5.78 tff(17872,plain,
% 7.96/5.78 (~always3(s265)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17871, 17860])).
% 7.96/5.78 tff(17873,plain,
% 7.96/5.78 (~always3(s264)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17822, 17872])).
% 7.96/5.78 tff(17874,plain,
% 7.96/5.78 (~always3(s263)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17766, 17873])).
% 7.96/5.78 tff(17875,plain,
% 7.96/5.78 (~always3(s262)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17710, 17874])).
% 7.96/5.78 tff(17876,plain,
% 7.96/5.78 (~always3(s261)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17654, 17875])).
% 7.96/5.78 tff(17877,plain,
% 7.96/5.78 (~always3(s260)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17598, 17876])).
% 7.96/5.78 tff(17878,plain,
% 7.96/5.78 (~always3(s259)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17542, 17877])).
% 7.96/5.78 tff(17879,plain,
% 7.96/5.78 (~always3(s258)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17486, 17878])).
% 7.96/5.78 tff(17880,plain,
% 7.96/5.78 (~always3(s257)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17430, 17879])).
% 7.96/5.78 tff(17881,plain,
% 7.96/5.78 (~node4(s257)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17418, 16, 17880])).
% 7.96/5.78 tff(17882,plain,
% 7.96/5.78 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s265) | (~node4(s265)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s265) | (~node4(s265)))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(17883,plain,
% 7.96/5.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s265) | (~node4(s265)))),
% 7.96/5.78 inference(quant_inst,[status(thm)],[])).
% 7.96/5.78 tff(17884,plain,
% 7.96/5.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s265) | (~node4(s265))),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[17883, 17882])).
% 7.96/5.78 tff(17885,plain,
% 7.96/5.78 (~node4(s265)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17884, 16, 17872])).
% 7.96/5.78 tff(17886,plain,
% 7.96/5.78 (~always3(s256)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17374, 17880])).
% 7.96/5.78 tff(17887,plain,
% 7.96/5.78 (~always3(s255)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17318, 17886])).
% 7.96/5.78 tff(17888,plain,
% 7.96/5.78 (~always3(s254)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17262, 17887])).
% 7.96/5.78 tff(17889,plain,
% 7.96/5.78 (~always3(s253)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17206, 17888])).
% 7.96/5.78 tff(17890,plain,
% 7.96/5.78 (~always3(s252)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17150, 17889])).
% 7.96/5.78 tff(17891,plain,
% 7.96/5.78 (~always3(s251)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17094, 17890])).
% 7.96/5.78 tff(17892,plain,
% 7.96/5.78 (~always3(s250)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17038, 17891])).
% 7.96/5.78 tff(17893,plain,
% 7.96/5.78 (~always3(s249)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16982, 17892])).
% 7.96/5.78 tff(17894,plain,
% 7.96/5.78 (~always3(s248)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16926, 17893])).
% 7.96/5.78 tff(17895,plain,
% 7.96/5.78 (~always3(s247)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16773, 17894])).
% 7.96/5.78 tff(17896,plain,
% 7.96/5.78 (~always3(s246)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16717, 17895])).
% 7.96/5.78 tff(17897,plain,
% 7.96/5.78 (~always3(s245)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16661, 17896])).
% 7.96/5.78 tff(17898,plain,
% 7.96/5.78 (~always3(s244)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16605, 17897])).
% 7.96/5.78 tff(17899,plain,
% 7.96/5.78 (~always3(s243)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16549, 17898])).
% 7.96/5.78 tff(17900,plain,
% 7.96/5.78 (~always3(s242)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16493, 17899])).
% 7.96/5.78 tff(17901,plain,
% 7.96/5.78 (~always3(s241)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16437, 17900])).
% 7.96/5.78 tff(17902,plain,
% 7.96/5.78 (~always3(s240)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16381, 17901])).
% 7.96/5.78 tff(17903,plain,
% 7.96/5.78 (~always3(s239)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16325, 17902])).
% 7.96/5.78 tff(17904,plain,
% 7.96/5.78 (~always3(s238)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16269, 17903])).
% 7.96/5.78 tff(17905,plain,
% 7.96/5.78 (~always3(s237)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16150, 17904])).
% 7.96/5.78 tff(17906,plain,
% 7.96/5.78 (~always3(s236)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16094, 17905])).
% 7.96/5.78 tff(17907,plain,
% 7.96/5.78 (~always3(s235)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16038, 17906])).
% 7.96/5.78 tff(17908,plain,
% 7.96/5.78 (~always3(s234)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15982, 17907])).
% 7.96/5.78 tff(17909,plain,
% 7.96/5.78 (~always3(s233)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15926, 17908])).
% 7.96/5.78 tff(17910,plain,
% 7.96/5.78 (~always3(s232)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15759, 17909])).
% 7.96/5.78 tff(17911,plain,
% 7.96/5.78 (~always3(s231)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15550, 17910])).
% 7.96/5.78 tff(17912,plain,
% 7.96/5.78 (~always3(s230)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15562, 17911])).
% 7.96/5.78 tff(17913,plain,
% 7.96/5.78 (~always3(s229)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15574, 17912])).
% 7.96/5.78 tff(17914,plain,
% 7.96/5.78 (~always3(s228)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15710, 17913])).
% 7.96/5.78 tff(17915,plain,
% 7.96/5.78 (~always3(s227)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15522, 17914])).
% 7.96/5.78 tff(17916,plain,
% 7.96/5.78 (~always3(s226)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15473, 17915])).
% 7.96/5.78 tff(17917,plain,
% 7.96/5.78 (~always3(s225)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15417, 17916])).
% 7.96/5.78 tff(17918,plain,
% 7.96/5.78 (~always3(s224)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15361, 17917])).
% 7.96/5.78 tff(17919,plain,
% 7.96/5.78 (~always3(s223)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15305, 17918])).
% 7.96/5.78 tff(17920,plain,
% 7.96/5.78 (~always3(s222)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15255, 17919])).
% 7.96/5.78 tff(17921,plain,
% 7.96/5.78 (~always3(s221)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15127, 17920])).
% 7.96/5.78 tff(17922,plain,
% 7.96/5.78 (~always3(s220)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15078, 17921])).
% 7.96/5.78 tff(17923,plain,
% 7.96/5.78 (~always3(s219)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15022, 17922])).
% 7.96/5.78 tff(17924,plain,
% 7.96/5.78 (~always3(s218)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[14935, 17923])).
% 7.96/5.78 tff(17925,plain,
% 7.96/5.78 (~always3(s217)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[14548, 17924])).
% 7.96/5.78 tff(17926,plain,
% 7.96/5.78 (~always3(s216)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[14499, 17925])).
% 7.96/5.78 tff(17927,plain,
% 7.96/5.78 (~always3(s215)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[14399, 17926])).
% 7.96/5.78 tff(17928,plain,
% 7.96/5.78 (~always3(s214)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[14343, 17927])).
% 7.96/5.78 tff(17929,plain,
% 7.96/5.78 (~always3(s213)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[14269, 17928])).
% 7.96/5.78 tff(17930,plain,
% 7.96/5.78 (~always3(s212)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[14231, 17929])).
% 7.96/5.78 tff(17931,plain,
% 7.96/5.78 (~always3(s211)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[14169, 17930])).
% 7.96/5.78 tff(17932,plain,
% 7.96/5.78 (~always3(s210)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[13954, 17931])).
% 7.96/5.78 tff(17933,plain,
% 7.96/5.78 (~always3(s209)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[13898, 17932])).
% 7.96/5.78 tff(17934,plain,
% 7.96/5.78 (~always3(s208)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[13748, 17933])).
% 7.96/5.78 tff(17935,plain,
% 7.96/5.78 (~always3(s207)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12647, 17934])).
% 7.96/5.78 tff(17936,plain,
% 7.96/5.78 (~always3(s206)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12696, 17935])).
% 7.96/5.78 tff(17937,plain,
% 7.96/5.78 (~always3(s205)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12831, 17936])).
% 7.96/5.78 tff(17938,plain,
% 7.96/5.78 (~always3(s204)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12736, 17937])).
% 7.96/5.78 tff(17939,plain,
% 7.96/5.78 (~always3(s203)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[13513, 17938])).
% 7.96/5.78 tff(17940,plain,
% 7.96/5.78 (~always3(s202)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[13619, 17939])).
% 7.96/5.78 tff(17941,plain,
% 7.96/5.78 (~always3(s201)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12509, 17940])).
% 7.96/5.78 tff(17942,plain,
% 7.96/5.78 (~always3(s200)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12558, 17941])).
% 7.96/5.78 tff(17943,plain,
% 7.96/5.78 (~always3(s199)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12460, 17942])).
% 7.96/5.78 tff(17944,plain,
% 7.96/5.78 (~always3(s198)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12788, 17943])).
% 7.96/5.78 tff(17945,plain,
% 7.96/5.78 (~always3(s197)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12592, 17944])).
% 7.96/5.78 tff(17946,plain,
% 7.96/5.78 (~always3(s196)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[13684, 17945])).
% 7.96/5.78 tff(17947,plain,
% 7.96/5.78 (~always3(s195)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12404, 17946])).
% 7.96/5.78 tff(17948,plain,
% 7.96/5.78 (~always3(s194)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12348, 17947])).
% 7.96/5.78 tff(17949,plain,
% 7.96/5.78 (~always3(s193)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12292, 17948])).
% 7.96/5.78 tff(17950,plain,
% 7.96/5.78 (~always3(s192)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12236, 17949])).
% 7.96/5.78 tff(17951,plain,
% 7.96/5.78 (~always3(s191)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12180, 17950])).
% 7.96/5.78 tff(17952,plain,
% 7.96/5.78 (~always3(s190)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12124, 17951])).
% 7.96/5.78 tff(17953,plain,
% 7.96/5.78 (~always3(s189)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12068, 17952])).
% 7.96/5.78 tff(17954,plain,
% 7.96/5.78 (~always3(s188)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12012, 17953])).
% 7.96/5.78 tff(17955,plain,
% 7.96/5.78 (~always3(s187)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11956, 17954])).
% 7.96/5.78 tff(17956,plain,
% 7.96/5.78 (~always3(s186)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11900, 17955])).
% 7.96/5.78 tff(17957,plain,
% 7.96/5.78 (~always3(s185)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11844, 17956])).
% 7.96/5.78 tff(17958,plain,
% 7.96/5.78 (~always3(s184)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11788, 17957])).
% 7.96/5.78 tff(17959,plain,
% 7.96/5.78 (~always3(s183)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11732, 17958])).
% 7.96/5.78 tff(17960,plain,
% 7.96/5.78 (~always3(s182)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11676, 17959])).
% 7.96/5.78 tff(17961,plain,
% 7.96/5.78 (~always3(s181)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11620, 17960])).
% 7.96/5.78 tff(17962,plain,
% 7.96/5.78 (~always3(s180)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11585, 17961])).
% 7.96/5.78 tff(17963,plain,
% 7.96/5.78 (~always3(s179)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11505, 17962])).
% 7.96/5.78 tff(17964,plain,
% 7.96/5.78 (~always3(s178)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11449, 17963])).
% 7.96/5.78 tff(17965,plain,
% 7.96/5.78 (~always3(s177)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11393, 17964])).
% 7.96/5.78 tff(17966,plain,
% 7.96/5.78 (~always3(s176)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11357, 17965])).
% 7.96/5.78 tff(17967,plain,
% 7.96/5.78 (~always3(s175)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11277, 17966])).
% 7.96/5.78 tff(17968,plain,
% 7.96/5.78 (~always3(s174)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11242, 17967])).
% 7.96/5.78 tff(17969,plain,
% 7.96/5.78 (~always3(s173)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11162, 17968])).
% 7.96/5.78 tff(17970,plain,
% 7.96/5.78 (~always3(s172)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11106, 17969])).
% 7.96/5.78 tff(17971,plain,
% 7.96/5.78 (~always3(s171)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11050, 17970])).
% 7.96/5.78 tff(17972,plain,
% 7.96/5.78 (~always3(s170)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10977, 17971])).
% 7.96/5.78 tff(17973,plain,
% 7.96/5.78 (~always3(s169)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10921, 17972])).
% 7.96/5.78 tff(17974,plain,
% 7.96/5.78 (~always3(s168)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10865, 17973])).
% 7.96/5.78 tff(17975,plain,
% 7.96/5.78 (~always3(s167)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10809, 17974])).
% 7.96/5.78 tff(17976,plain,
% 7.96/5.78 (~always3(s166)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10753, 17975])).
% 7.96/5.78 tff(17977,plain,
% 7.96/5.78 (~always3(s165)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10697, 17976])).
% 7.96/5.78 tff(17978,plain,
% 7.96/5.78 (~always3(s164)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10635, 17977])).
% 7.96/5.78 tff(17979,plain,
% 7.96/5.78 (~always3(s163)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10582, 17978])).
% 7.96/5.78 tff(17980,plain,
% 7.96/5.78 (~always3(s162)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10526, 17979])).
% 7.96/5.78 tff(17981,plain,
% 7.96/5.78 (~always3(s161)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10464, 17980])).
% 7.96/5.78 tff(17982,plain,
% 7.96/5.78 (~always3(s160)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10411, 17981])).
% 7.96/5.78 tff(17983,plain,
% 7.96/5.78 (~always3(s159)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10355, 17982])).
% 7.96/5.78 tff(17984,plain,
% 7.96/5.78 (~always3(s158)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10299, 17983])).
% 7.96/5.78 tff(17985,plain,
% 7.96/5.78 (~always3(s157)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10243, 17984])).
% 7.96/5.78 tff(17986,plain,
% 7.96/5.78 (~always3(s156)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10187, 17985])).
% 7.96/5.78 tff(17987,plain,
% 7.96/5.78 (~always3(s155)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10131, 17986])).
% 7.96/5.78 tff(17988,plain,
% 7.96/5.78 (~always3(s154)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10075, 17987])).
% 7.96/5.78 tff(17989,plain,
% 7.96/5.78 (~always3(s153)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10019, 17988])).
% 7.96/5.78 tff(17990,plain,
% 7.96/5.78 (~always3(s152)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9963, 17989])).
% 7.96/5.78 tff(17991,plain,
% 7.96/5.78 (~always3(s151)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9907, 17990])).
% 7.96/5.78 tff(17992,plain,
% 7.96/5.78 (~always3(s150)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[217, 17991])).
% 7.96/5.78 tff(17993,plain,
% 7.96/5.78 (~always3(s149)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9845, 17992])).
% 7.96/5.78 tff(17994,plain,
% 7.96/5.78 (~always3(s148)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9789, 17993])).
% 7.96/5.78 tff(17995,plain,
% 7.96/5.78 (~always3(s147)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9733, 17994])).
% 7.96/5.78 tff(17996,plain,
% 7.96/5.78 (~always3(s146)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9677, 17995])).
% 7.96/5.78 tff(17997,plain,
% 7.96/5.78 (~always3(s145)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9621, 17996])).
% 7.96/5.78 tff(17998,plain,
% 7.96/5.78 (~always3(s144)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9565, 17997])).
% 7.96/5.78 tff(17999,plain,
% 7.96/5.78 (~always3(s143)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9509, 17998])).
% 7.96/5.78 tff(18000,plain,
% 7.96/5.78 (~always3(s142)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9453, 17999])).
% 7.96/5.78 tff(18001,plain,
% 7.96/5.78 (~always3(s141)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9397, 18000])).
% 7.96/5.78 tff(18002,plain,
% 7.96/5.78 (~always3(s140)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9341, 18001])).
% 7.96/5.78 tff(18003,plain,
% 7.96/5.78 (~always3(s139)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9285, 18002])).
% 7.96/5.78 tff(18004,plain,
% 7.96/5.78 (~always3(s138)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9229, 18003])).
% 7.96/5.78 tff(18005,plain,
% 7.96/5.78 (~always3(s137)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9173, 18004])).
% 7.96/5.78 tff(18006,plain,
% 7.96/5.78 (~always3(s136)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9100, 18005])).
% 7.96/5.78 tff(18007,plain,
% 7.96/5.78 (~always3(s135)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9044, 18006])).
% 7.96/5.78 tff(18008,plain,
% 7.96/5.78 (~always3(s134)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8988, 18007])).
% 7.96/5.78 tff(18009,plain,
% 7.96/5.78 (~always3(s133)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8932, 18008])).
% 7.96/5.78 tff(18010,plain,
% 7.96/5.78 (~always3(s132)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8876, 18009])).
% 7.96/5.78 tff(18011,plain,
% 7.96/5.78 (~always3(s131)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8820, 18010])).
% 7.96/5.78 tff(18012,plain,
% 7.96/5.78 (~always3(s130)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8764, 18011])).
% 7.96/5.78 tff(18013,plain,
% 7.96/5.78 (~always3(s129)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8708, 18012])).
% 7.96/5.78 tff(18014,plain,
% 7.96/5.78 (~always3(s128)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8652, 18013])).
% 7.96/5.78 tff(18015,plain,
% 7.96/5.78 (~always3(s127)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8596, 18014])).
% 7.96/5.78 tff(18016,plain,
% 7.96/5.78 (~always3(s126)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8540, 18015])).
% 7.96/5.78 tff(18017,plain,
% 7.96/5.78 (~always3(s125)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8484, 18016])).
% 7.96/5.78 tff(18018,plain,
% 7.96/5.78 (~always3(s124)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8428, 18017])).
% 7.96/5.78 tff(18019,plain,
% 7.96/5.78 (~always3(s123)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8372, 18018])).
% 7.96/5.78 tff(18020,plain,
% 7.96/5.78 (~always3(s122)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8316, 18019])).
% 7.96/5.78 tff(18021,plain,
% 7.96/5.78 (~always3(s121)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8260, 18020])).
% 7.96/5.78 tff(18022,plain,
% 7.96/5.78 (~always3(s120)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8204, 18021])).
% 7.96/5.78 tff(18023,plain,
% 7.96/5.78 (~always3(s119)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8148, 18022])).
% 7.96/5.78 tff(18024,plain,
% 7.96/5.78 (~always3(s118)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8092, 18023])).
% 7.96/5.78 tff(18025,plain,
% 7.96/5.78 (~always3(s117)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8036, 18024])).
% 7.96/5.78 tff(18026,plain,
% 7.96/5.78 (~always3(s116)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7980, 18025])).
% 7.96/5.78 tff(18027,plain,
% 7.96/5.78 (~always3(s115)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7924, 18026])).
% 7.96/5.78 tff(18028,plain,
% 7.96/5.78 (~always3(s114)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7868, 18027])).
% 7.96/5.78 tff(18029,plain,
% 7.96/5.78 (~always3(s113)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7812, 18028])).
% 7.96/5.78 tff(18030,plain,
% 7.96/5.78 (~always3(s112)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7739, 18029])).
% 7.96/5.78 tff(18031,plain,
% 7.96/5.78 (~always3(s111)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7673, 18030])).
% 7.96/5.78 tff(18032,plain,
% 7.96/5.78 (~always3(s110)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7617, 18031])).
% 7.96/5.78 tff(18033,plain,
% 7.96/5.78 (~always3(s109)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7561, 18032])).
% 7.96/5.78 tff(18034,plain,
% 7.96/5.78 (~always3(s108)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7505, 18033])).
% 7.96/5.78 tff(18035,plain,
% 7.96/5.78 (~always3(s107)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7449, 18034])).
% 7.96/5.78 tff(18036,plain,
% 7.96/5.78 (~always3(s106)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7393, 18035])).
% 7.96/5.78 tff(18037,plain,
% 7.96/5.78 (~always3(s105)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7337, 18036])).
% 7.96/5.78 tff(18038,plain,
% 7.96/5.78 (~always3(s104)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7250, 18037])).
% 7.96/5.78 tff(18039,plain,
% 7.96/5.78 (~always3(s103)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7169, 18038])).
% 7.96/5.78 tff(18040,plain,
% 7.96/5.78 (~always3(s102)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7120, 18039])).
% 7.96/5.78 tff(18041,plain,
% 7.96/5.78 (~always3(s101)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7064, 18040])).
% 7.96/5.78 tff(18042,plain,
% 7.96/5.78 (~always3(s100)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7008, 18041])).
% 7.96/5.78 tff(18043,plain,
% 7.96/5.78 (~always3(s99)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6952, 18042])).
% 7.96/5.78 tff(18044,plain,
% 7.96/5.78 (~always3(s98)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6896, 18043])).
% 7.96/5.78 tff(18045,plain,
% 7.96/5.78 (~always3(s97)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6840, 18044])).
% 7.96/5.78 tff(18046,plain,
% 7.96/5.78 (~always3(s96)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6784, 18045])).
% 7.96/5.78 tff(18047,plain,
% 7.96/5.78 (~always3(s95)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6728, 18046])).
% 7.96/5.78 tff(18048,plain,
% 7.96/5.78 (~always3(s94)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6672, 18047])).
% 7.96/5.78 tff(18049,plain,
% 7.96/5.78 (~node4(s94)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6639, 16, 18048])).
% 7.96/5.78 tff(18050,plain,
% 7.96/5.78 (~node4(s262)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17698, 16, 17875])).
% 7.96/5.78 tff(18051,plain,
% 7.96/5.78 (~node4(s204)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12724, 16, 17938])).
% 7.96/5.78 tff(18052,plain,
% 7.96/5.78 (~node4(s261)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17642, 16, 17876])).
% 7.96/5.78 tff(18053,plain,
% 7.96/5.78 (~node4(s258)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17474, 16, 17879])).
% 7.96/5.78 tff(18054,plain,
% 7.96/5.78 (~node4(s101)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7052, 16, 18041])).
% 7.96/5.78 tff(18055,plain,
% 7.96/5.78 (~node4(s206)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12684, 16, 17936])).
% 7.96/5.78 tff(18056,plain,
% 7.96/5.78 (~node4(s256)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17362, 16, 17886])).
% 7.96/5.78 tff(18057,plain,
% 7.96/5.78 (~node4(s103)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7173, 16, 18039])).
% 7.96/5.78 tff(18058,plain,
% 7.96/5.78 (~node4(s104)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7177, 16, 18038])).
% 7.96/5.78 tff(18059,plain,
% 7.96/5.78 (~node4(s252)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17138, 16, 17890])).
% 7.96/5.78 tff(18060,plain,
% 7.96/5.78 (~node4(s251)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17082, 16, 17891])).
% 7.96/5.78 tff(18061,plain,
% 7.96/5.78 (~node4(s250)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17026, 16, 17892])).
% 7.96/5.78 tff(18062,plain,
% 7.96/5.78 (~node4(s109)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7549, 16, 18033])).
% 7.96/5.78 tff(18063,plain,
% 7.96/5.78 (~node4(s110)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[7605, 16, 18032])).
% 7.96/5.78 tff(18064,plain,
% 7.96/5.78 (~node4(s248)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16820, 16, 17894])).
% 7.96/5.78 tff(18065,plain,
% 7.96/5.78 (~node4(s119)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8136, 16, 18023])).
% 7.96/5.78 tff(18066,plain,
% 7.96/5.78 (~node4(s243)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16537, 16, 17899])).
% 7.96/5.78 tff(18067,plain,
% 7.96/5.78 (~node4(s117)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8024, 16, 18025])).
% 7.96/5.78 tff(18068,plain,
% 7.96/5.78 (~node4(s241)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16425, 16, 17901])).
% 7.96/5.78 tff(18069,plain,
% 7.96/5.78 (~node4(s118)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8080, 16, 18024])).
% 7.96/5.78 tff(18070,plain,
% 7.96/5.78 (~node4(s162)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10514, 16, 17980])).
% 7.96/5.78 tff(18071,plain,
% 7.96/5.78 (~node4(s239)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16313, 16, 17903])).
% 7.96/5.78 tff(18072,plain,
% 7.96/5.78 (~node4(s238)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16197, 16, 17904])).
% 7.96/5.78 tff(18073,plain,
% 7.96/5.78 (~node4(s121)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8248, 16, 18021])).
% 7.96/5.78 tff(18074,plain,
% 7.96/5.78 (~node4(s123)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8360, 16, 18019])).
% 7.96/5.78 tff(18075,plain,
% 7.96/5.78 (~node4(s124)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8416, 16, 18018])).
% 7.96/5.78 tff(18076,plain,
% 7.96/5.78 (~node4(s125)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8472, 16, 18017])).
% 7.96/5.78 tff(18077,plain,
% 7.96/5.78 (~node4(s233)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15914, 16, 17909])).
% 7.96/5.78 tff(18078,plain,
% 7.96/5.78 (~node4(s126)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8528, 16, 18016])).
% 7.96/5.78 tff(18079,plain,
% 7.96/5.78 (~node4(s232)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15582, 16, 17910])).
% 7.96/5.78 tff(18080,plain,
% 7.96/5.78 (~node4(s155)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10119, 16, 17987])).
% 7.96/5.78 tff(18081,plain,
% 7.96/5.78 (~node4(s229)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15578, 16, 17913])).
% 7.96/5.78 tff(18082,plain,
% 7.96/5.78 (~node4(s130)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8752, 16, 18012])).
% 7.96/5.78 tff(18083,plain,
% 7.96/5.78 (~node4(s228)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15714, 16, 17914])).
% 7.96/5.78 tff(18084,plain,
% 7.96/5.78 (~node4(s227)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15719, 16, 17915])).
% 7.96/5.78 tff(18085,plain,
% 7.96/5.78 (~node4(s132)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8864, 16, 18010])).
% 7.96/5.78 tff(18086,plain,
% 7.96/5.78 (~node4(s134)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8976, 16, 18008])).
% 7.96/5.78 tff(18087,plain,
% 7.96/5.78 (~node4(s224)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15349, 16, 17918])).
% 7.96/5.78 tff(18088,plain,
% 7.96/5.78 (~node4(s135)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9032, 16, 18007])).
% 7.96/5.78 tff(18089,plain,
% 7.96/5.78 (~node4(s136)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9088, 16, 18006])).
% 7.96/5.78 tff(18090,plain,
% 7.96/5.78 (~node4(s222)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15135, 16, 17920])).
% 7.96/5.78 tff(18091,plain,
% 7.96/5.78 (~node4(s221)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15131, 16, 17921])).
% 7.96/5.78 tff(18092,plain,
% 7.96/5.78 (~node4(s179)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11493, 16, 17963])).
% 7.96/5.78 tff(18093,plain,
% 7.96/5.78 (~node4(s220)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15066, 16, 17922])).
% 7.96/5.78 tff(18094,plain,
% 7.96/5.78 (~node4(s219)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15010, 16, 17923])).
% 7.96/5.78 tff(18095,plain,
% 7.96/5.78 (~node4(s141)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9385, 16, 18001])).
% 7.96/5.78 tff(18096,plain,
% 7.96/5.78 (~node4(s217)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[14555, 16, 17925])).
% 7.96/5.78 tff(18097,plain,
% 7.96/5.78 (~node4(s142)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9441, 16, 18000])).
% 7.96/5.78 tff(18098,plain,
% 7.96/5.78 (~node4(s216)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[14440, 16, 17926])).
% 7.96/5.78 tff(18099,plain,
% 7.96/5.78 (~node4(s215)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[14387, 16, 17927])).
% 7.96/5.78 tff(18100,plain,
% 7.96/5.78 (~node4(s144)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9553, 16, 17998])).
% 7.96/5.78 tff(18101,plain,
% 7.96/5.78 (~node4(s145)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9609, 16, 17997])).
% 7.96/5.78 tff(18102,plain,
% 7.96/5.78 (~node4(s146)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9665, 16, 17996])).
% 7.96/5.78 tff(18103,plain,
% 7.96/5.78 (~node4(s197)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12580, 16, 17945])).
% 7.96/5.78 tff(18104,plain,
% 7.96/5.78 (~node4(s209)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[13886, 16, 17933])).
% 7.96/5.78 tff(18105,plain,
% 7.96/5.78 (~node4(s151)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9895, 16, 17991])).
% 7.96/5.78 tff(18106,plain,
% 7.96/5.78 (~node4(s207)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12635, 16, 17935])).
% 7.96/5.78 tff(18107,plain,
% 7.96/5.78 (~node4(s152)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9951, 16, 17990])).
% 7.96/5.78 tff(18108,plain,
% 7.96/5.78 (~node4(s166)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10741, 16, 17976])).
% 7.96/5.78 tff(18109,plain,
% 7.96/5.78 (~node4(s153)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10007, 16, 17989])).
% 7.96/5.78 tff(18110,plain,
% 7.96/5.78 (~node4(s205)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12819, 16, 17937])).
% 7.96/5.78 tff(18111,plain,
% 7.96/5.78 (~node4(s168)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10853, 16, 17974])).
% 7.96/5.78 tff(18112,plain,
% 7.96/5.78 (~node4(s180)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11545, 16, 17962])).
% 7.96/5.78 tff(18113,plain,
% 7.96/5.78 (~node4(s156)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10175, 16, 17986])).
% 7.96/5.78 tff(18114,plain,
% 7.96/5.78 (~node4(s157)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10231, 16, 17985])).
% 7.96/5.78 tff(18115,plain,
% 7.96/5.78 (~node4(s201)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12497, 16, 17941])).
% 7.96/5.78 tff(18116,plain,
% 7.96/5.78 (~node4(s200)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12546, 16, 17942])).
% 7.96/5.78 tff(18117,plain,
% 7.96/5.78 (~node4(s199)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12448, 16, 17943])).
% 7.96/5.78 tff(18118,plain,
% 7.96/5.78 (~node4(s198)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12776, 16, 17944])).
% 7.96/5.78 tff(18119,plain,
% 7.96/5.78 (~node4(s161)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10452, 16, 17981])).
% 7.96/5.78 tff(18120,plain,
% 7.96/5.78 (~node4(s165)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10685, 16, 17977])).
% 7.96/5.78 tff(18121,plain,
% 7.96/5.78 (~node4(s169)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10909, 16, 17973])).
% 7.96/5.78 tff(18122,plain,
% 7.96/5.78 (~node4(s164)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10623, 16, 17978])).
% 7.96/5.78 tff(18123,plain,
% 7.96/5.78 (~node4(s170)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[10965, 16, 17972])).
% 7.96/5.78 tff(18124,plain,
% 7.96/5.78 (~node4(s176)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11338, 16, 17966])).
% 7.96/5.78 tff(18125,plain,
% 7.96/5.78 (~node4(s175)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11265, 16, 17967])).
% 7.96/5.78 tff(18126,plain,
% 7.96/5.78 (~node4(s174)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11202, 16, 17968])).
% 7.96/5.78 tff(18127,plain,
% 7.96/5.78 (~node4(s172)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11094, 16, 17970])).
% 7.96/5.78 tff(18128,plain,
% 7.96/5.78 (~node4(s138)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[9217, 16, 18004])).
% 7.96/5.78 tff(18129,plain,
% 7.96/5.78 (~always3(s93)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6598, 18048])).
% 7.96/5.78 tff(18130,plain,
% 7.96/5.78 (~always3(s92)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6158, 18129])).
% 7.96/5.78 tff(18131,plain,
% 7.96/5.78 (~always3(s91)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6519, 18130])).
% 7.96/5.78 tff(18132,plain,
% 7.96/5.78 (xuntil6(s91)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6502, 18131])).
% 7.96/5.78 tff(18133,plain,
% 7.96/5.78 (until5(s92)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[6209, 18132])).
% 7.96/5.78 tff(18134,plain,
% 7.96/5.78 (~node4(s177)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11381, 16, 17965])).
% 7.96/5.78 tff(18135,plain,
% 7.96/5.78 (~node4(s127)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[8584, 16, 18015])).
% 7.96/5.78 tff(18136,assumption,(~node4(s265)), introduced(assumption)).
% 7.96/5.78 tff(18137,plain,
% 7.96/5.78 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s266) | (~node4(s266)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s266) | (~node4(s266)))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(18138,plain,
% 7.96/5.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s266) | (~node4(s266)))),
% 7.96/5.78 inference(quant_inst,[status(thm)],[])).
% 7.96/5.78 tff(18139,plain,
% 7.96/5.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s266) | (~node4(s266))),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 7.96/5.78 tff(18140,plain,
% 7.96/5.78 (~node4(s266)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18139, 16, 17860])).
% 7.96/5.78 tff(18141,plain,
% 7.96/5.78 (((~![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)))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(18142,plain,
% 7.96/5.78 ((node4(s266) | (~until5(s266)) | xuntil6(s266)) <=> (xuntil6(s266) | node4(s266) | (~until5(s266)))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(18143,plain,
% 7.96/5.78 (((~![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))))),
% 7.96/5.78 inference(monotonicity,[status(thm)],[18142])).
% 7.96/5.78 tff(18144,plain,
% 7.96/5.78 (((~![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)))),
% 7.96/5.78 inference(transitivity,[status(thm)],[18143, 18141])).
% 7.96/5.78 tff(18145,plain,
% 7.96/5.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s266) | (~until5(s266)) | xuntil6(s266))),
% 7.96/5.78 inference(quant_inst,[status(thm)],[])).
% 7.96/5.78 tff(18146,plain,
% 7.96/5.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s266) | node4(s266) | (~until5(s266))),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[18145, 18144])).
% 7.96/5.78 tff(18147,plain,
% 7.96/5.78 (node4(s266) | (~until5(s266))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18146, 352, 17859])).
% 7.96/5.78 tff(18148,plain,
% 7.96/5.78 (~until5(s266)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18147, 18140])).
% 7.96/5.78 tff(18149,plain,
% 7.96/5.78 (((~![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))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(18150,plain,
% 7.96/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266))),
% 7.96/5.78 inference(quant_inst,[status(thm)],[])).
% 7.96/5.78 tff(18151,plain,
% 7.96/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266)),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[18150, 18149])).
% 7.96/5.78 tff(18152,plain,
% 7.96/5.78 ((~xuntil6(s265)) | until5(s266)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18151, 17863, 370])).
% 7.96/5.78 tff(18153,plain,
% 7.96/5.78 (~xuntil6(s265)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18152, 18148])).
% 7.96/5.78 tff(18154,plain,
% 7.96/5.78 (((~![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)))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(18155,plain,
% 7.96/5.78 ((node4(s265) | (~until5(s265)) | xuntil6(s265)) <=> (xuntil6(s265) | node4(s265) | (~until5(s265)))),
% 7.96/5.78 inference(rewrite,[status(thm)],[])).
% 7.96/5.78 tff(18156,plain,
% 7.96/5.78 (((~![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))))),
% 7.96/5.78 inference(monotonicity,[status(thm)],[18155])).
% 7.96/5.78 tff(18157,plain,
% 7.96/5.78 (((~![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)))),
% 7.96/5.78 inference(transitivity,[status(thm)],[18156, 18154])).
% 7.96/5.78 tff(18158,plain,
% 7.96/5.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s265) | (~until5(s265)) | xuntil6(s265))),
% 7.96/5.78 inference(quant_inst,[status(thm)],[])).
% 7.96/5.78 tff(18159,plain,
% 7.96/5.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s265) | node4(s265) | (~until5(s265))),
% 7.96/5.78 inference(modus_ponens,[status(thm)],[18158, 18157])).
% 7.96/5.78 tff(18160,plain,
% 7.96/5.78 (~until5(s265)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18159, 352, 18153, 18136])).
% 7.96/5.78 tff(18161,plain,
% 7.96/5.78 (~xuntil6(s264)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17857, 18160])).
% 7.96/5.78 tff(18162,plain,
% 7.96/5.78 (~node4(s264)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17810, 16, 17873])).
% 7.96/5.78 tff(18163,plain,
% 7.96/5.78 (xuntil6(s264) | (~until5(s264))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17851, 352, 18162])).
% 7.96/5.78 tff(18164,plain,
% 7.96/5.78 (~until5(s264)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18163, 18161])).
% 7.96/5.78 tff(18165,plain,
% 7.96/5.78 (~xuntil6(s263)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17801, 18164])).
% 7.96/5.78 tff(18166,plain,
% 7.96/5.78 (~node4(s263)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17754, 16, 17874])).
% 7.96/5.78 tff(18167,plain,
% 7.96/5.78 (xuntil6(s263) | (~until5(s263))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17795, 352, 18166])).
% 7.96/5.78 tff(18168,plain,
% 7.96/5.78 (~until5(s263)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18167, 18165])).
% 7.96/5.78 tff(18169,plain,
% 7.96/5.78 (~xuntil6(s262)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17745, 18168])).
% 7.96/5.78 tff(18170,assumption,(~node4(s262)), introduced(assumption)).
% 7.96/5.78 tff(18171,plain,
% 7.96/5.78 (xuntil6(s262) | (~until5(s262))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17739, 352, 18170])).
% 7.96/5.78 tff(18172,plain,
% 7.96/5.78 (~until5(s262)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18171, 18169])).
% 7.96/5.78 tff(18173,plain,
% 7.96/5.78 (~xuntil6(s261)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17689, 18172])).
% 7.96/5.78 tff(18174,assumption,(~node4(s261)), introduced(assumption)).
% 7.96/5.78 tff(18175,plain,
% 7.96/5.78 (xuntil6(s261) | (~until5(s261))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17683, 352, 18174])).
% 7.96/5.78 tff(18176,plain,
% 7.96/5.78 (~until5(s261)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18175, 18173])).
% 7.96/5.78 tff(18177,plain,
% 7.96/5.78 (~xuntil6(s260)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17633, 18176])).
% 7.96/5.78 tff(18178,plain,
% 7.96/5.78 (~node4(s260)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17586, 16, 17877])).
% 7.96/5.78 tff(18179,plain,
% 7.96/5.78 (xuntil6(s260) | (~until5(s260))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17627, 352, 18178])).
% 7.96/5.78 tff(18180,plain,
% 7.96/5.78 (~until5(s260)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18179, 18177])).
% 7.96/5.78 tff(18181,plain,
% 7.96/5.78 (~xuntil6(s259)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17577, 18180])).
% 7.96/5.78 tff(18182,plain,
% 7.96/5.78 (~until5(s259)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17572, 18181])).
% 7.96/5.78 tff(18183,plain,
% 7.96/5.78 (~xuntil6(s258)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17521, 18182])).
% 7.96/5.78 tff(18184,assumption,(~node4(s258)), introduced(assumption)).
% 7.96/5.78 tff(18185,plain,
% 7.96/5.78 (xuntil6(s258) | (~until5(s258))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17515, 352, 18184])).
% 7.96/5.78 tff(18186,plain,
% 7.96/5.78 (~until5(s258)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18185, 18183])).
% 7.96/5.78 tff(18187,plain,
% 7.96/5.78 (~xuntil6(s257)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17465, 18186])).
% 7.96/5.78 tff(18188,assumption,(~node4(s257)), introduced(assumption)).
% 7.96/5.78 tff(18189,plain,
% 7.96/5.78 (xuntil6(s257) | (~until5(s257))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17459, 352, 18188])).
% 7.96/5.78 tff(18190,plain,
% 7.96/5.78 (~until5(s257)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18189, 18187])).
% 7.96/5.78 tff(18191,plain,
% 7.96/5.78 (~xuntil6(s256)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17409, 18190])).
% 7.96/5.78 tff(18192,assumption,(~node4(s256)), introduced(assumption)).
% 7.96/5.78 tff(18193,plain,
% 7.96/5.78 (xuntil6(s256) | (~until5(s256))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17403, 352, 18192])).
% 7.96/5.78 tff(18194,plain,
% 7.96/5.78 (~until5(s256)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18193, 18191])).
% 7.96/5.78 tff(18195,plain,
% 7.96/5.78 (~xuntil6(s255)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17353, 18194])).
% 7.96/5.78 tff(18196,plain,
% 7.96/5.78 (~node4(s255)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17306, 16, 17887])).
% 7.96/5.78 tff(18197,plain,
% 7.96/5.78 (xuntil6(s255) | (~until5(s255))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17347, 352, 18196])).
% 7.96/5.78 tff(18198,plain,
% 7.96/5.78 (~until5(s255)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18197, 18195])).
% 7.96/5.78 tff(18199,plain,
% 7.96/5.78 (~xuntil6(s254)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17297, 18198])).
% 7.96/5.78 tff(18200,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[17250, 16, 17888])).
% 7.96/5.78 tff(18201,plain,
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% 7.96/5.78 tff(18202,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18201, 18199])).
% 7.96/5.78 tff(18203,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[17241, 18202])).
% 7.96/5.78 tff(18204,plain,
% 7.96/5.78 (~until5(s253)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17236, 18203])).
% 7.96/5.78 tff(18205,plain,
% 7.96/5.78 (~xuntil6(s252)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17185, 18204])).
% 7.96/5.78 tff(18206,assumption,(~node4(s252)), introduced(assumption)).
% 7.96/5.78 tff(18207,plain,
% 7.96/5.78 (xuntil6(s252) | (~until5(s252))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17179, 352, 18206])).
% 7.96/5.78 tff(18208,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18207, 18205])).
% 7.96/5.78 tff(18209,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[17129, 18208])).
% 7.96/5.78 tff(18210,assumption,(~node4(s251)), introduced(assumption)).
% 7.96/5.78 tff(18211,plain,
% 7.96/5.78 (xuntil6(s251) | (~until5(s251))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17123, 352, 18210])).
% 7.96/5.78 tff(18212,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18211, 18209])).
% 7.96/5.78 tff(18213,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[17073, 18212])).
% 7.96/5.78 tff(18214,assumption,(~node4(s250)), introduced(assumption)).
% 7.96/5.78 tff(18215,plain,
% 7.96/5.78 (xuntil6(s250) | (~until5(s250))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[17067, 352, 18214])).
% 7.96/5.78 tff(18216,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18215, 18213])).
% 7.96/5.78 tff(18217,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[17017, 18216])).
% 7.96/5.78 tff(18218,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[16970, 16, 17893])).
% 7.96/5.78 tff(18219,plain,
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% 7.96/5.78 tff(18220,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18219, 18217])).
% 7.96/5.78 tff(18221,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[16961, 18220])).
% 7.96/5.78 tff(18222,assumption,(~node4(s248)), introduced(assumption)).
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% 7.96/5.78 tff(18224,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18223, 18221])).
% 7.96/5.78 tff(18225,plain,
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% 7.96/5.78 tff(18226,plain,
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% 7.96/5.78 tff(18227,plain,
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% 7.96/5.78 tff(18228,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18227, 18225])).
% 7.96/5.78 tff(18229,plain,
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% 7.96/5.78 tff(18230,plain,
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% 7.96/5.78 tff(18231,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18231, 18229])).
% 7.96/5.78 tff(18233,plain,
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% 7.96/5.78 tff(18234,plain,
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% 7.96/5.78 tff(18235,plain,
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% 7.96/5.78 tff(18236,plain,
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% 7.96/5.78 tff(18237,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[16640, 18236])).
% 7.96/5.78 tff(18238,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[16593, 16, 17898])).
% 7.96/5.78 tff(18239,plain,
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% 7.96/5.78 tff(18240,plain,
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% 7.96/5.78 tff(18241,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[16584, 18240])).
% 7.96/5.78 tff(18242,assumption,(~node4(s243)), introduced(assumption)).
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% 7.96/5.78 (xuntil6(s243) | (~until5(s243))),
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% 7.96/5.78 tff(18244,plain,
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% 7.96/5.78 tff(18245,plain,
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% 7.96/5.78 tff(18246,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18247, 18245])).
% 7.96/5.78 tff(18249,plain,
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% 7.96/5.78 tff(18250,assumption,(~node4(s241)), introduced(assumption)).
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% 7.96/5.78 (xuntil6(s241) | (~until5(s241))),
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% 7.96/5.78 tff(18252,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[16416, 18252])).
% 7.96/5.78 tff(18254,plain,
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% 7.96/5.78 tff(18255,plain,
% 7.96/5.78 (xuntil6(s240) | (~until5(s240))),
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% 7.96/5.78 tff(18258,assumption,(~node4(s239)), introduced(assumption)).
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% 7.96/5.78 (xuntil6(s239) | (~until5(s239))),
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% 7.96/5.78 tff(18262,assumption,(~node4(s238)), introduced(assumption)).
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% 7.96/5.78 tff(18265,plain,
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% 7.96/5.78 tff(18266,plain,
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% 7.96/5.78 tff(18270,plain,
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% 7.96/5.78 tff(18272,plain,
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% 7.96/5.78 tff(18273,plain,
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% 7.96/5.78 tff(18274,plain,
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% 7.96/5.78 tff(18275,plain,
% 7.96/5.78 (~xuntil6(s234)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16017, 18274])).
% 7.96/5.78 tff(18276,plain,
% 7.96/5.78 (~until5(s234)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[16012, 18275])).
% 7.96/5.78 tff(18277,plain,
% 7.96/5.78 (~xuntil6(s233)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15961, 18276])).
% 7.96/5.78 tff(18278,assumption,(~node4(s233)), introduced(assumption)).
% 7.96/5.78 tff(18279,plain,
% 7.96/5.78 (xuntil6(s233) | (~until5(s233))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15955, 352, 18278])).
% 7.96/5.78 tff(18280,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18279, 18277])).
% 7.96/5.78 tff(18281,plain,
% 7.96/5.78 (~xuntil6(s232)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15905, 18280])).
% 7.96/5.78 tff(18282,assumption,(~node4(s232)), introduced(assumption)).
% 7.96/5.78 tff(18283,plain,
% 7.96/5.78 (xuntil6(s232) | (~until5(s232))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15589, 352, 18282])).
% 7.96/5.78 tff(18284,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18283, 18281])).
% 7.96/5.78 tff(18285,plain,
% 7.96/5.78 (~xuntil6(s231)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15595, 18284])).
% 7.96/5.78 tff(18286,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[15604, 16, 17911])).
% 7.96/5.78 tff(18287,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[15640, 352, 18286])).
% 7.96/5.78 tff(18288,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18287, 18285])).
% 7.96/5.78 tff(18289,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[15646, 18288])).
% 7.96/5.78 tff(18290,plain,
% 7.96/5.78 (~until5(s230)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15686, 18289])).
% 7.96/5.78 tff(18291,plain,
% 7.96/5.78 (~xuntil6(s229)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15691, 18290])).
% 7.96/5.78 tff(18292,assumption,(~node4(s229)), introduced(assumption)).
% 7.96/5.78 tff(18293,plain,
% 7.96/5.78 (xuntil6(s229) | (~until5(s229))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15698, 352, 18292])).
% 7.96/5.78 tff(18294,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18293, 18291])).
% 7.96/5.78 tff(18295,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[15745, 18294])).
% 7.96/5.78 tff(18296,assumption,(~node4(s228)), introduced(assumption)).
% 7.96/5.78 tff(18297,plain,
% 7.96/5.78 (xuntil6(s228) | (~until5(s228))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15740, 352, 18296])).
% 7.96/5.78 tff(18298,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18297, 18295])).
% 7.96/5.78 tff(18299,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[15733, 18298])).
% 7.96/5.78 tff(18300,assumption,(~node4(s227)), introduced(assumption)).
% 7.96/5.78 tff(18301,plain,
% 7.96/5.78 (xuntil6(s227) | (~until5(s227))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15727, 352, 18300])).
% 7.96/5.78 tff(18302,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18301, 18299])).
% 7.96/5.78 tff(18303,plain,
% 7.96/5.78 (~xuntil6(s226)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15508, 18302])).
% 7.96/5.78 tff(18304,plain,
% 7.96/5.78 (~until5(s226)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15503, 18303])).
% 7.96/5.78 tff(18305,plain,
% 7.96/5.78 (~xuntil6(s225)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15452, 18304])).
% 7.96/5.78 tff(18306,plain,
% 7.96/5.78 (~until5(s225)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15447, 18305])).
% 7.96/5.78 tff(18307,plain,
% 7.96/5.78 (~xuntil6(s224)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15396, 18306])).
% 7.96/5.78 tff(18308,assumption,(~node4(s224)), introduced(assumption)).
% 7.96/5.78 tff(18309,plain,
% 7.96/5.78 (xuntil6(s224) | (~until5(s224))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15390, 352, 18308])).
% 7.96/5.78 tff(18310,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18309, 18307])).
% 7.96/5.78 tff(18311,plain,
% 7.96/5.78 (~xuntil6(s223)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15340, 18310])).
% 7.96/5.78 tff(18312,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[15293, 16, 17919])).
% 7.96/5.78 tff(18313,plain,
% 7.96/5.78 (xuntil6(s223) | (~until5(s223))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15334, 352, 18312])).
% 7.96/5.78 tff(18314,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18313, 18311])).
% 7.96/5.78 tff(18315,plain,
% 7.96/5.78 (~xuntil6(s222)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15284, 18314])).
% 7.96/5.78 tff(18316,assumption,(~node4(s222)), introduced(assumption)).
% 7.96/5.78 tff(18317,plain,
% 7.96/5.78 (xuntil6(s222) | (~until5(s222))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15142, 352, 18316])).
% 7.96/5.78 tff(18318,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18317, 18315])).
% 7.96/5.78 tff(18319,plain,
% 7.96/5.78 (~xuntil6(s221)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15148, 18318])).
% 7.96/5.78 tff(18320,assumption,(~node4(s221)), introduced(assumption)).
% 7.96/5.78 tff(18321,plain,
% 7.96/5.78 (xuntil6(s221) | (~until5(s221))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15155, 352, 18320])).
% 7.96/5.78 tff(18322,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18321, 18319])).
% 7.96/5.78 tff(18323,plain,
% 7.96/5.78 (~xuntil6(s220)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15113, 18322])).
% 7.96/5.78 tff(18324,assumption,(~node4(s220)), introduced(assumption)).
% 7.96/5.78 tff(18325,plain,
% 7.96/5.78 (xuntil6(s220) | (~until5(s220))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15107, 352, 18324])).
% 7.96/5.78 tff(18326,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18325, 18323])).
% 7.96/5.78 tff(18327,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[15057, 18326])).
% 7.96/5.78 tff(18328,assumption,(~node4(s219)), introduced(assumption)).
% 7.96/5.78 tff(18329,plain,
% 7.96/5.78 (xuntil6(s219) | (~until5(s219))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[15051, 352, 18328])).
% 7.96/5.78 tff(18330,plain,
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% 7.96/5.78 tff(18331,plain,
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% 7.96/5.78 tff(18332,plain,
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% 7.96/5.78 tff(18334,plain,
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% 7.96/5.78 tff(18335,plain,
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% 7.96/5.78 tff(18337,plain,
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% 7.96/5.78 tff(18338,plain,
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% 7.96/5.78 tff(18340,plain,
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% 7.96/5.78 tff(18341,plain,
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% 7.96/5.78 tff(18342,plain,
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% 7.96/5.78 tff(18343,plain,
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% 7.96/5.78 tff(18344,plain,
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% 7.96/5.78 tff(18345,plain,
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% 7.96/5.78 tff(18348,plain,
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% 7.96/5.78 tff(18349,plain,
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% 7.96/5.78 tff(18353,plain,
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% 7.96/5.78 tff(18354,plain,
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% 7.96/5.78 tff(18357,assumption,(~node4(s210)), introduced(assumption)).
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% 7.96/5.78 tff(18359,plain,
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% 7.96/5.78 tff(18360,plain,
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% 7.96/5.78 tff(18361,plain,
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% 7.96/5.78 tff(18362,plain,
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% 7.96/5.78 tff(18363,plain,
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% 7.96/5.78 tff(18364,plain,
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% 7.96/5.78 tff(18365,plain,
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% 7.96/5.78 tff(18367,plain,
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% 7.96/5.78 tff(18368,plain,
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% 7.96/5.78 tff(18369,plain,
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% 7.96/5.78 tff(18370,plain,
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% 7.96/5.78 tff(18371,plain,
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% 7.96/5.78 tff(18372,plain,
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% 7.96/5.78 tff(18373,plain,
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% 7.96/5.78 tff(18374,plain,
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% 7.96/5.78 tff(18375,plain,
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% 7.96/5.78 tff(18376,plain,
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% 7.96/5.78 tff(18377,plain,
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% 7.96/5.78 tff(18378,plain,
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% 7.96/5.78 tff(18379,plain,
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% 7.96/5.78 tff(18380,plain,
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% 7.96/5.78 tff(18381,plain,
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% 7.96/5.78 tff(18382,plain,
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% 7.96/5.78 tff(18383,plain,
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% 7.96/5.78 tff(18384,plain,
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% 7.96/5.78 tff(18385,plain,
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% 7.96/5.78 tff(18386,plain,
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% 7.96/5.78 tff(18387,plain,
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% 7.96/5.78 tff(18388,plain,
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% 7.96/5.78 tff(18389,plain,
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% 7.96/5.78 tff(18390,plain,
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% 7.96/5.78 tff(18391,plain,
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% 7.96/5.78 tff(18393,plain,
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% 7.96/5.78 tff(18394,plain,
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% 7.96/5.78 tff(18395,plain,
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% 7.96/5.78 tff(18397,plain,
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% 7.96/5.78 tff(18398,plain,
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% 7.96/5.78 tff(18399,plain,
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% 7.96/5.78 tff(18400,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[12377, 352, 18399])).
% 7.96/5.78 tff(18401,plain,
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% 7.96/5.78 inference(unit_resolution,[status(thm)],[18400, 18398])).
% 7.96/5.78 tff(18402,plain,
% 7.96/5.78 (~xuntil6(s193)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12327, 18401])).
% 7.96/5.78 tff(18403,assumption,(~node4(s193)), introduced(assumption)).
% 7.96/5.78 tff(18404,plain,
% 7.96/5.78 (xuntil6(s193) | (~until5(s193))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12321, 352, 18403])).
% 7.96/5.78 tff(18405,plain,
% 7.96/5.78 (~until5(s193)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18404, 18402])).
% 7.96/5.78 tff(18406,plain,
% 7.96/5.78 (~xuntil6(s192)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12271, 18405])).
% 7.96/5.78 tff(18407,plain,
% 7.96/5.78 (~until5(s192)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12266, 18406])).
% 7.96/5.78 tff(18408,plain,
% 7.96/5.78 (~xuntil6(s191)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12215, 18407])).
% 7.96/5.78 tff(18409,assumption,(~node4(s191)), introduced(assumption)).
% 7.96/5.78 tff(18410,plain,
% 7.96/5.78 (xuntil6(s191) | (~until5(s191))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12209, 352, 18409])).
% 7.96/5.78 tff(18411,plain,
% 7.96/5.78 (~until5(s191)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18410, 18408])).
% 7.96/5.78 tff(18412,plain,
% 7.96/5.78 (~xuntil6(s190)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12159, 18411])).
% 7.96/5.78 tff(18413,plain,
% 7.96/5.78 (~node4(s190)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12112, 16, 17952])).
% 7.96/5.78 tff(18414,plain,
% 7.96/5.78 (xuntil6(s190) | (~until5(s190))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12153, 352, 18413])).
% 7.96/5.78 tff(18415,plain,
% 7.96/5.78 (~until5(s190)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18414, 18412])).
% 7.96/5.78 tff(18416,plain,
% 7.96/5.78 (~xuntil6(s189)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12103, 18415])).
% 7.96/5.78 tff(18417,assumption,(~node4(s189)), introduced(assumption)).
% 7.96/5.78 tff(18418,plain,
% 7.96/5.78 (xuntil6(s189) | (~until5(s189))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12097, 352, 18417])).
% 7.96/5.78 tff(18419,plain,
% 7.96/5.78 (~until5(s189)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18418, 18416])).
% 7.96/5.78 tff(18420,plain,
% 7.96/5.78 (~xuntil6(s188)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12047, 18419])).
% 7.96/5.78 tff(18421,plain,
% 7.96/5.78 (~node4(s188)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12000, 16, 17954])).
% 7.96/5.78 tff(18422,plain,
% 7.96/5.78 (xuntil6(s188) | (~until5(s188))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[12041, 352, 18421])).
% 7.96/5.78 tff(18423,plain,
% 7.96/5.78 (~until5(s188)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18422, 18420])).
% 7.96/5.78 tff(18424,plain,
% 7.96/5.78 (~xuntil6(s187)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11991, 18423])).
% 7.96/5.78 tff(18425,plain,
% 7.96/5.78 (~node4(s187)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11944, 16, 17955])).
% 7.96/5.78 tff(18426,plain,
% 7.96/5.78 (xuntil6(s187) | (~until5(s187))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11985, 352, 18425])).
% 7.96/5.78 tff(18427,plain,
% 7.96/5.78 (~until5(s187)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18426, 18424])).
% 7.96/5.78 tff(18428,plain,
% 7.96/5.78 (~xuntil6(s186)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11935, 18427])).
% 7.96/5.78 tff(18429,assumption,(~node4(s186)), introduced(assumption)).
% 7.96/5.78 tff(18430,plain,
% 7.96/5.78 (xuntil6(s186) | (~until5(s186))),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[11929, 352, 18429])).
% 7.96/5.78 tff(18431,plain,
% 7.96/5.78 (~until5(s186)),
% 7.96/5.78 inference(unit_resolution,[status(thm)],[18430, 18428])).
% 7.96/5.78 tff(18432,plain,
% 7.96/5.78 (~xuntil6(s185)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11879, 18431])).
% 7.96/5.79 tff(18433,assumption,(~node4(s185)), introduced(assumption)).
% 7.96/5.79 tff(18434,plain,
% 7.96/5.79 (xuntil6(s185) | (~until5(s185))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11873, 352, 18433])).
% 7.96/5.79 tff(18435,plain,
% 7.96/5.79 (~until5(s185)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18434, 18432])).
% 7.96/5.79 tff(18436,plain,
% 7.96/5.79 (~xuntil6(s184)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11823, 18435])).
% 7.96/5.79 tff(18437,plain,
% 7.96/5.79 (~node4(s184)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11776, 16, 17958])).
% 7.96/5.79 tff(18438,plain,
% 7.96/5.79 (xuntil6(s184) | (~until5(s184))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11817, 352, 18437])).
% 7.96/5.79 tff(18439,plain,
% 7.96/5.79 (~until5(s184)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18438, 18436])).
% 7.96/5.79 tff(18440,plain,
% 7.96/5.79 (~xuntil6(s183)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11767, 18439])).
% 7.96/5.79 tff(18441,plain,
% 7.96/5.79 (~node4(s183)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11720, 16, 17959])).
% 7.96/5.79 tff(18442,plain,
% 7.96/5.79 (xuntil6(s183) | (~until5(s183))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11761, 352, 18441])).
% 7.96/5.79 tff(18443,plain,
% 7.96/5.79 (~until5(s183)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18442, 18440])).
% 7.96/5.79 tff(18444,plain,
% 7.96/5.79 (~xuntil6(s182)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11711, 18443])).
% 7.96/5.79 tff(18445,plain,
% 7.96/5.79 (~node4(s182)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11664, 16, 17960])).
% 7.96/5.79 tff(18446,plain,
% 7.96/5.79 (xuntil6(s182) | (~until5(s182))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11705, 352, 18445])).
% 7.96/5.79 tff(18447,plain,
% 7.96/5.79 (~until5(s182)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18446, 18444])).
% 7.96/5.79 tff(18448,plain,
% 7.96/5.79 (~xuntil6(s181)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11655, 18447])).
% 7.96/5.79 tff(18449,plain,
% 7.96/5.79 (~node4(s181)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11608, 16, 17961])).
% 7.96/5.79 tff(18450,plain,
% 7.96/5.79 (xuntil6(s181) | (~until5(s181))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11649, 352, 18449])).
% 7.96/5.79 tff(18451,plain,
% 7.96/5.79 (~until5(s181)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18450, 18448])).
% 7.96/5.79 tff(18452,plain,
% 7.96/5.79 (~xuntil6(s180)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11599, 18451])).
% 7.96/5.79 tff(18453,plain,
% 7.96/5.79 (~until5(s180)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[12944, 18452])).
% 7.96/5.79 tff(18454,assumption,(~node4(s94)), introduced(assumption)).
% 7.96/5.79 tff(18455,plain,
% 7.96/5.79 (~node4(s92)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6146, 16, 18130])).
% 7.96/5.79 tff(18456,plain,
% 7.96/5.79 (xuntil6(s92)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[13262, 18455])).
% 7.96/5.79 tff(18457,plain,
% 7.96/5.79 (until5(s93)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6577, 18456])).
% 7.96/5.79 tff(18458,plain,
% 7.96/5.79 (xuntil6(s93)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6628, 18457])).
% 7.96/5.79 tff(18459,plain,
% 7.96/5.79 (until5(s94)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6633, 18458])).
% 7.96/5.79 tff(18460,plain,
% 7.96/5.79 (xuntil6(s94)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6646, 352, 18459, 18454])).
% 7.96/5.79 tff(18461,plain,
% 7.96/5.79 (until5(s95)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6707, 18460])).
% 7.96/5.79 tff(18462,assumption,(~node4(s95)), introduced(assumption)).
% 7.96/5.79 tff(18463,plain,
% 7.96/5.79 (xuntil6(s95) | (~until5(s95))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6757, 352, 18462])).
% 7.96/5.79 tff(18464,plain,
% 7.96/5.79 (xuntil6(s95)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18463, 18461])).
% 7.96/5.79 tff(18465,plain,
% 7.96/5.79 (until5(s96)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6763, 18464])).
% 7.96/5.79 tff(18466,plain,
% 7.96/5.79 (~node4(s96)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6772, 16, 18046])).
% 7.96/5.79 tff(18467,plain,
% 7.96/5.79 (xuntil6(s96) | (~until5(s96))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6813, 352, 18466])).
% 7.96/5.79 tff(18468,plain,
% 7.96/5.79 (xuntil6(s96)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18467, 18465])).
% 7.96/5.79 tff(18469,plain,
% 7.96/5.79 (until5(s97)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6819, 18468])).
% 7.96/5.79 tff(18470,assumption,(~node4(s97)), introduced(assumption)).
% 7.96/5.79 tff(18471,plain,
% 7.96/5.79 (xuntil6(s97) | (~until5(s97))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6869, 352, 18470])).
% 7.96/5.79 tff(18472,plain,
% 7.96/5.79 (xuntil6(s97)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18471, 18469])).
% 7.96/5.79 tff(18473,plain,
% 7.96/5.79 (until5(s98)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6875, 18472])).
% 7.96/5.79 tff(18474,plain,
% 7.96/5.79 (~node4(s98)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6884, 16, 18044])).
% 7.96/5.79 tff(18475,plain,
% 7.96/5.79 (xuntil6(s98) | (~until5(s98))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6925, 352, 18474])).
% 7.96/5.79 tff(18476,plain,
% 7.96/5.79 (xuntil6(s98)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18475, 18473])).
% 7.96/5.79 tff(18477,plain,
% 7.96/5.79 (until5(s99)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6931, 18476])).
% 7.96/5.79 tff(18478,plain,
% 7.96/5.79 (~node4(s99)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6940, 16, 18043])).
% 7.96/5.79 tff(18479,plain,
% 7.96/5.79 (xuntil6(s99) | (~until5(s99))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6981, 352, 18478])).
% 7.96/5.79 tff(18480,plain,
% 7.96/5.79 (xuntil6(s99)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18479, 18477])).
% 7.96/5.79 tff(18481,plain,
% 7.96/5.79 (until5(s100)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6987, 18480])).
% 7.96/5.79 tff(18482,plain,
% 7.96/5.79 (~node4(s100)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[6996, 16, 18042])).
% 7.96/5.79 tff(18483,plain,
% 7.96/5.79 (xuntil6(s100) | (~until5(s100))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7037, 352, 18482])).
% 7.96/5.79 tff(18484,plain,
% 7.96/5.79 (xuntil6(s100)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18483, 18481])).
% 7.96/5.79 tff(18485,plain,
% 7.96/5.79 (until5(s101)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7043, 18484])).
% 7.96/5.79 tff(18486,assumption,(~node4(s101)), introduced(assumption)).
% 7.96/5.79 tff(18487,plain,
% 7.96/5.79 (xuntil6(s101) | (~until5(s101))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7093, 352, 18486])).
% 7.96/5.79 tff(18488,plain,
% 7.96/5.79 (xuntil6(s101)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18487, 18485])).
% 7.96/5.79 tff(18489,plain,
% 7.96/5.79 (until5(s102)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7099, 18488])).
% 7.96/5.79 tff(18490,plain,
% 7.96/5.79 (~node4(s102)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7108, 16, 18040])).
% 7.96/5.79 tff(18491,plain,
% 7.96/5.79 (xuntil6(s102) | (~until5(s102))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7149, 352, 18490])).
% 7.96/5.79 tff(18492,plain,
% 7.96/5.79 (xuntil6(s102)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18491, 18489])).
% 7.96/5.79 tff(18493,plain,
% 7.96/5.79 (until5(s103)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7155, 18492])).
% 7.96/5.79 tff(18494,assumption,(~node4(s103)), introduced(assumption)).
% 7.96/5.79 tff(18495,plain,
% 7.96/5.79 (xuntil6(s103) | (~until5(s103))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7197, 352, 18494])).
% 7.96/5.79 tff(18496,plain,
% 7.96/5.79 (xuntil6(s103)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18495, 18493])).
% 7.96/5.79 tff(18497,plain,
% 7.96/5.79 (until5(s104)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7190, 18496])).
% 7.96/5.79 tff(18498,assumption,(~node4(s104)), introduced(assumption)).
% 7.96/5.79 tff(18499,plain,
% 7.96/5.79 (xuntil6(s104) | (~until5(s104))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7184, 352, 18498])).
% 7.96/5.79 tff(18500,plain,
% 7.96/5.79 (xuntil6(s104)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18499, 18497])).
% 7.96/5.79 tff(18501,plain,
% 7.96/5.79 (until5(s105)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7316, 18500])).
% 7.96/5.79 tff(18502,plain,
% 7.96/5.79 (~node4(s105)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7325, 16, 18037])).
% 7.96/5.79 tff(18503,plain,
% 7.96/5.79 (xuntil6(s105) | (~until5(s105))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7366, 352, 18502])).
% 7.96/5.79 tff(18504,plain,
% 7.96/5.79 (xuntil6(s105)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18503, 18501])).
% 7.96/5.79 tff(18505,plain,
% 7.96/5.79 (until5(s106)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7372, 18504])).
% 7.96/5.79 tff(18506,assumption,(~node4(s106)), introduced(assumption)).
% 7.96/5.79 tff(18507,plain,
% 7.96/5.79 (xuntil6(s106) | (~until5(s106))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7422, 352, 18506])).
% 7.96/5.79 tff(18508,plain,
% 7.96/5.79 (xuntil6(s106)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18507, 18505])).
% 7.96/5.79 tff(18509,plain,
% 7.96/5.79 (until5(s107)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7428, 18508])).
% 7.96/5.79 tff(18510,plain,
% 7.96/5.79 (~node4(s107)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7437, 16, 18035])).
% 7.96/5.79 tff(18511,plain,
% 7.96/5.79 (xuntil6(s107) | (~until5(s107))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7478, 352, 18510])).
% 7.96/5.79 tff(18512,plain,
% 7.96/5.79 (xuntil6(s107)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18511, 18509])).
% 7.96/5.79 tff(18513,plain,
% 7.96/5.79 (until5(s108)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7484, 18512])).
% 7.96/5.79 tff(18514,plain,
% 7.96/5.79 (~node4(s108)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7493, 16, 18034])).
% 7.96/5.79 tff(18515,plain,
% 7.96/5.79 (xuntil6(s108) | (~until5(s108))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7534, 352, 18514])).
% 7.96/5.79 tff(18516,plain,
% 7.96/5.79 (xuntil6(s108)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18515, 18513])).
% 7.96/5.79 tff(18517,plain,
% 7.96/5.79 (until5(s109)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7540, 18516])).
% 7.96/5.79 tff(18518,assumption,(~node4(s109)), introduced(assumption)).
% 7.96/5.79 tff(18519,plain,
% 7.96/5.79 (xuntil6(s109) | (~until5(s109))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7590, 352, 18518])).
% 7.96/5.79 tff(18520,plain,
% 7.96/5.79 (xuntil6(s109)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18519, 18517])).
% 7.96/5.79 tff(18521,plain,
% 7.96/5.79 (until5(s110)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7596, 18520])).
% 7.96/5.79 tff(18522,assumption,(~node4(s110)), introduced(assumption)).
% 7.96/5.79 tff(18523,plain,
% 7.96/5.79 (xuntil6(s110) | (~until5(s110))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7646, 352, 18522])).
% 7.96/5.79 tff(18524,plain,
% 7.96/5.79 (xuntil6(s110)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18523, 18521])).
% 7.96/5.79 tff(18525,plain,
% 7.96/5.79 (until5(s111)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7652, 18524])).
% 7.96/5.79 tff(18526,plain,
% 7.96/5.79 (~node4(s111)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7661, 16, 18031])).
% 7.96/5.79 tff(18527,plain,
% 7.96/5.79 (xuntil6(s111) | (~until5(s111))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7702, 352, 18526])).
% 7.96/5.79 tff(18528,plain,
% 7.96/5.79 (xuntil6(s111)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18527, 18525])).
% 7.96/5.79 tff(18529,plain,
% 7.96/5.79 (until5(s112)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7708, 18528])).
% 7.96/5.79 tff(18530,plain,
% 7.96/5.79 (~node4(s112)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7734, 16, 18030])).
% 7.96/5.79 tff(18531,plain,
% 7.96/5.79 (xuntil6(s112) | (~until5(s112))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7785, 352, 18530])).
% 7.96/5.79 tff(18532,plain,
% 7.96/5.79 (xuntil6(s112)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18531, 18529])).
% 7.96/5.79 tff(18533,plain,
% 7.96/5.79 (until5(s113)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7791, 18532])).
% 7.96/5.79 tff(18534,plain,
% 7.96/5.79 (~node4(s113)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7800, 16, 18029])).
% 7.96/5.79 tff(18535,plain,
% 7.96/5.79 (xuntil6(s113) | (~until5(s113))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7841, 352, 18534])).
% 7.96/5.79 tff(18536,plain,
% 7.96/5.79 (xuntil6(s113)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18535, 18533])).
% 7.96/5.79 tff(18537,plain,
% 7.96/5.79 (until5(s114)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7847, 18536])).
% 7.96/5.79 tff(18538,plain,
% 7.96/5.79 (~node4(s114)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7856, 16, 18028])).
% 7.96/5.79 tff(18539,plain,
% 7.96/5.79 (xuntil6(s114) | (~until5(s114))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7897, 352, 18538])).
% 7.96/5.79 tff(18540,plain,
% 7.96/5.79 (xuntil6(s114)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18539, 18537])).
% 7.96/5.79 tff(18541,plain,
% 7.96/5.79 (until5(s115)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7903, 18540])).
% 7.96/5.79 tff(18542,assumption,(~node4(s115)), introduced(assumption)).
% 7.96/5.79 tff(18543,plain,
% 7.96/5.79 (xuntil6(s115) | (~until5(s115))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7953, 352, 18542])).
% 7.96/5.79 tff(18544,plain,
% 7.96/5.79 (xuntil6(s115)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18543, 18541])).
% 7.96/5.79 tff(18545,plain,
% 7.96/5.79 (until5(s116)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7959, 18544])).
% 7.96/5.79 tff(18546,plain,
% 7.96/5.79 (~node4(s116)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[7968, 16, 18026])).
% 7.96/5.79 tff(18547,plain,
% 7.96/5.79 (xuntil6(s116) | (~until5(s116))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8009, 352, 18546])).
% 7.96/5.79 tff(18548,plain,
% 7.96/5.79 (xuntil6(s116)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18547, 18545])).
% 7.96/5.79 tff(18549,plain,
% 7.96/5.79 (until5(s117)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8015, 18548])).
% 7.96/5.79 tff(18550,assumption,(~node4(s117)), introduced(assumption)).
% 7.96/5.79 tff(18551,plain,
% 7.96/5.79 (xuntil6(s117) | (~until5(s117))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8065, 352, 18550])).
% 7.96/5.79 tff(18552,plain,
% 7.96/5.79 (xuntil6(s117)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18551, 18549])).
% 7.96/5.79 tff(18553,plain,
% 7.96/5.79 (until5(s118)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8071, 18552])).
% 7.96/5.79 tff(18554,assumption,(~node4(s118)), introduced(assumption)).
% 7.96/5.79 tff(18555,plain,
% 7.96/5.79 (xuntil6(s118) | (~until5(s118))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8121, 352, 18554])).
% 7.96/5.79 tff(18556,plain,
% 7.96/5.79 (xuntil6(s118)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18555, 18553])).
% 7.96/5.79 tff(18557,plain,
% 7.96/5.79 (until5(s119)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8127, 18556])).
% 7.96/5.79 tff(18558,assumption,(~node4(s119)), introduced(assumption)).
% 7.96/5.79 tff(18559,plain,
% 7.96/5.79 (xuntil6(s119) | (~until5(s119))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8177, 352, 18558])).
% 7.96/5.79 tff(18560,plain,
% 7.96/5.79 (xuntil6(s119)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18559, 18557])).
% 7.96/5.79 tff(18561,plain,
% 7.96/5.79 (until5(s120)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8183, 18560])).
% 7.96/5.79 tff(18562,plain,
% 7.96/5.79 (~node4(s120)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8192, 16, 18022])).
% 7.96/5.79 tff(18563,plain,
% 7.96/5.79 (xuntil6(s120) | (~until5(s120))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8233, 352, 18562])).
% 7.96/5.79 tff(18564,plain,
% 7.96/5.79 (xuntil6(s120)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18563, 18561])).
% 7.96/5.79 tff(18565,plain,
% 7.96/5.79 (until5(s121)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8239, 18564])).
% 7.96/5.79 tff(18566,assumption,(~node4(s121)), introduced(assumption)).
% 7.96/5.79 tff(18567,plain,
% 7.96/5.79 (xuntil6(s121) | (~until5(s121))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8289, 352, 18566])).
% 7.96/5.79 tff(18568,plain,
% 7.96/5.79 (xuntil6(s121)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18567, 18565])).
% 7.96/5.79 tff(18569,plain,
% 7.96/5.79 (until5(s122)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8295, 18568])).
% 7.96/5.79 tff(18570,plain,
% 7.96/5.79 (~node4(s122)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8304, 16, 18020])).
% 7.96/5.79 tff(18571,plain,
% 7.96/5.79 (xuntil6(s122) | (~until5(s122))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8345, 352, 18570])).
% 7.96/5.79 tff(18572,plain,
% 7.96/5.79 (xuntil6(s122)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18571, 18569])).
% 7.96/5.79 tff(18573,plain,
% 7.96/5.79 (until5(s123)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8351, 18572])).
% 7.96/5.79 tff(18574,assumption,(~node4(s123)), introduced(assumption)).
% 7.96/5.79 tff(18575,plain,
% 7.96/5.79 (xuntil6(s123) | (~until5(s123))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8401, 352, 18574])).
% 7.96/5.79 tff(18576,plain,
% 7.96/5.79 (xuntil6(s123)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18575, 18573])).
% 7.96/5.79 tff(18577,plain,
% 7.96/5.79 (until5(s124)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8407, 18576])).
% 7.96/5.79 tff(18578,assumption,(~node4(s124)), introduced(assumption)).
% 7.96/5.79 tff(18579,plain,
% 7.96/5.79 (xuntil6(s124) | (~until5(s124))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8457, 352, 18578])).
% 7.96/5.79 tff(18580,plain,
% 7.96/5.79 (xuntil6(s124)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18579, 18577])).
% 7.96/5.79 tff(18581,plain,
% 7.96/5.79 (until5(s125)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8463, 18580])).
% 7.96/5.79 tff(18582,assumption,(~node4(s125)), introduced(assumption)).
% 7.96/5.79 tff(18583,plain,
% 7.96/5.79 (xuntil6(s125) | (~until5(s125))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8513, 352, 18582])).
% 7.96/5.79 tff(18584,plain,
% 7.96/5.79 (xuntil6(s125)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18583, 18581])).
% 7.96/5.79 tff(18585,plain,
% 7.96/5.79 (until5(s126)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8519, 18584])).
% 7.96/5.79 tff(18586,assumption,(~node4(s126)), introduced(assumption)).
% 7.96/5.79 tff(18587,plain,
% 7.96/5.79 (xuntil6(s126) | (~until5(s126))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8569, 352, 18586])).
% 7.96/5.79 tff(18588,plain,
% 7.96/5.79 (xuntil6(s126)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18587, 18585])).
% 7.96/5.79 tff(18589,plain,
% 7.96/5.79 (until5(s127)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8575, 18588])).
% 7.96/5.79 tff(18590,assumption,(~node4(s127)), introduced(assumption)).
% 7.96/5.79 tff(18591,plain,
% 7.96/5.79 (xuntil6(s127) | (~until5(s127))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8625, 352, 18590])).
% 7.96/5.79 tff(18592,plain,
% 7.96/5.79 (xuntil6(s127)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18591, 18589])).
% 7.96/5.79 tff(18593,plain,
% 7.96/5.79 (until5(s128)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8631, 18592])).
% 7.96/5.79 tff(18594,plain,
% 7.96/5.79 (~node4(s128)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8640, 16, 18014])).
% 7.96/5.79 tff(18595,plain,
% 7.96/5.79 (xuntil6(s128) | (~until5(s128))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8681, 352, 18594])).
% 7.96/5.79 tff(18596,plain,
% 7.96/5.79 (xuntil6(s128)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18595, 18593])).
% 7.96/5.79 tff(18597,plain,
% 7.96/5.79 (until5(s129)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8687, 18596])).
% 7.96/5.79 tff(18598,plain,
% 7.96/5.79 (~node4(s129)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8696, 16, 18013])).
% 7.96/5.79 tff(18599,plain,
% 7.96/5.79 (xuntil6(s129) | (~until5(s129))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8737, 352, 18598])).
% 7.96/5.79 tff(18600,plain,
% 7.96/5.79 (xuntil6(s129)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18599, 18597])).
% 7.96/5.79 tff(18601,plain,
% 7.96/5.79 (until5(s130)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8743, 18600])).
% 7.96/5.79 tff(18602,assumption,(~node4(s130)), introduced(assumption)).
% 7.96/5.79 tff(18603,plain,
% 7.96/5.79 (xuntil6(s130) | (~until5(s130))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8793, 352, 18602])).
% 7.96/5.79 tff(18604,plain,
% 7.96/5.79 (xuntil6(s130)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18603, 18601])).
% 7.96/5.79 tff(18605,plain,
% 7.96/5.79 (until5(s131)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8799, 18604])).
% 7.96/5.79 tff(18606,plain,
% 7.96/5.79 (~node4(s131)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8808, 16, 18011])).
% 7.96/5.79 tff(18607,plain,
% 7.96/5.79 (xuntil6(s131) | (~until5(s131))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8849, 352, 18606])).
% 7.96/5.79 tff(18608,plain,
% 7.96/5.79 (xuntil6(s131)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18607, 18605])).
% 7.96/5.79 tff(18609,plain,
% 7.96/5.79 (until5(s132)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8855, 18608])).
% 7.96/5.79 tff(18610,assumption,(~node4(s132)), introduced(assumption)).
% 7.96/5.79 tff(18611,plain,
% 7.96/5.79 (xuntil6(s132) | (~until5(s132))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8905, 352, 18610])).
% 7.96/5.79 tff(18612,plain,
% 7.96/5.79 (xuntil6(s132)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18611, 18609])).
% 7.96/5.79 tff(18613,plain,
% 7.96/5.79 (until5(s133)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8911, 18612])).
% 7.96/5.79 tff(18614,plain,
% 7.96/5.79 (xuntil6(s133)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8962, 18613])).
% 7.96/5.79 tff(18615,plain,
% 7.96/5.79 (until5(s134)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[8967, 18614])).
% 7.96/5.79 tff(18616,assumption,(~node4(s134)), introduced(assumption)).
% 7.96/5.79 tff(18617,plain,
% 7.96/5.79 (xuntil6(s134) | (~until5(s134))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9017, 352, 18616])).
% 7.96/5.79 tff(18618,plain,
% 7.96/5.79 (xuntil6(s134)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18617, 18615])).
% 7.96/5.79 tff(18619,plain,
% 7.96/5.79 (until5(s135)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9023, 18618])).
% 7.96/5.79 tff(18620,assumption,(~node4(s135)), introduced(assumption)).
% 7.96/5.79 tff(18621,plain,
% 7.96/5.79 (xuntil6(s135) | (~until5(s135))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9073, 352, 18620])).
% 7.96/5.79 tff(18622,plain,
% 7.96/5.79 (xuntil6(s135)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18621, 18619])).
% 7.96/5.79 tff(18623,plain,
% 7.96/5.79 (until5(s136)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9079, 18622])).
% 7.96/5.79 tff(18624,assumption,(~node4(s136)), introduced(assumption)).
% 7.96/5.79 tff(18625,plain,
% 7.96/5.79 (xuntil6(s136) | (~until5(s136))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9146, 352, 18624])).
% 7.96/5.79 tff(18626,plain,
% 7.96/5.79 (xuntil6(s136)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18625, 18623])).
% 7.96/5.79 tff(18627,plain,
% 7.96/5.79 (until5(s137)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9152, 18626])).
% 7.96/5.79 tff(18628,plain,
% 7.96/5.79 (~node4(s137)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9161, 16, 18005])).
% 7.96/5.79 tff(18629,plain,
% 7.96/5.79 (xuntil6(s137) | (~until5(s137))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9202, 352, 18628])).
% 7.96/5.79 tff(18630,plain,
% 7.96/5.79 (xuntil6(s137)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18629, 18627])).
% 7.96/5.79 tff(18631,plain,
% 7.96/5.79 (until5(s138)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9208, 18630])).
% 7.96/5.79 tff(18632,assumption,(~node4(s138)), introduced(assumption)).
% 7.96/5.79 tff(18633,plain,
% 7.96/5.79 (xuntil6(s138) | (~until5(s138))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9258, 352, 18632])).
% 7.96/5.79 tff(18634,plain,
% 7.96/5.79 (xuntil6(s138)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18633, 18631])).
% 7.96/5.79 tff(18635,plain,
% 7.96/5.79 (until5(s139)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9264, 18634])).
% 7.96/5.79 tff(18636,plain,
% 7.96/5.79 (~node4(s139)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9273, 16, 18003])).
% 7.96/5.79 tff(18637,plain,
% 7.96/5.79 (xuntil6(s139) | (~until5(s139))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9314, 352, 18636])).
% 7.96/5.79 tff(18638,plain,
% 7.96/5.79 (xuntil6(s139)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18637, 18635])).
% 7.96/5.79 tff(18639,plain,
% 7.96/5.79 (until5(s140)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9320, 18638])).
% 7.96/5.79 tff(18640,plain,
% 7.96/5.79 (~node4(s140)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9329, 16, 18002])).
% 7.96/5.79 tff(18641,plain,
% 7.96/5.79 (xuntil6(s140) | (~until5(s140))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9370, 352, 18640])).
% 7.96/5.79 tff(18642,plain,
% 7.96/5.79 (xuntil6(s140)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18641, 18639])).
% 7.96/5.79 tff(18643,plain,
% 7.96/5.79 (until5(s141)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9376, 18642])).
% 7.96/5.79 tff(18644,assumption,(~node4(s141)), introduced(assumption)).
% 7.96/5.79 tff(18645,plain,
% 7.96/5.79 (xuntil6(s141) | (~until5(s141))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9426, 352, 18644])).
% 7.96/5.79 tff(18646,plain,
% 7.96/5.79 (xuntil6(s141)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18645, 18643])).
% 7.96/5.79 tff(18647,plain,
% 7.96/5.79 (until5(s142)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9432, 18646])).
% 7.96/5.79 tff(18648,assumption,(~node4(s142)), introduced(assumption)).
% 7.96/5.79 tff(18649,plain,
% 7.96/5.79 (xuntil6(s142) | (~until5(s142))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9482, 352, 18648])).
% 7.96/5.79 tff(18650,plain,
% 7.96/5.79 (xuntil6(s142)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18649, 18647])).
% 7.96/5.79 tff(18651,plain,
% 7.96/5.79 (until5(s143)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9488, 18650])).
% 7.96/5.79 tff(18652,plain,
% 7.96/5.79 (~node4(s143)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9497, 16, 17999])).
% 7.96/5.79 tff(18653,plain,
% 7.96/5.79 (xuntil6(s143) | (~until5(s143))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9538, 352, 18652])).
% 7.96/5.79 tff(18654,plain,
% 7.96/5.79 (xuntil6(s143)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18653, 18651])).
% 7.96/5.79 tff(18655,plain,
% 7.96/5.79 (until5(s144)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9544, 18654])).
% 7.96/5.79 tff(18656,assumption,(~node4(s144)), introduced(assumption)).
% 7.96/5.79 tff(18657,plain,
% 7.96/5.79 (xuntil6(s144) | (~until5(s144))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9594, 352, 18656])).
% 7.96/5.79 tff(18658,plain,
% 7.96/5.79 (xuntil6(s144)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18657, 18655])).
% 7.96/5.79 tff(18659,plain,
% 7.96/5.79 (until5(s145)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9600, 18658])).
% 7.96/5.79 tff(18660,assumption,(~node4(s145)), introduced(assumption)).
% 7.96/5.79 tff(18661,plain,
% 7.96/5.79 (xuntil6(s145) | (~until5(s145))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9650, 352, 18660])).
% 7.96/5.79 tff(18662,plain,
% 7.96/5.79 (xuntil6(s145)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18661, 18659])).
% 7.96/5.79 tff(18663,plain,
% 7.96/5.79 (until5(s146)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9656, 18662])).
% 7.96/5.79 tff(18664,assumption,(~node4(s146)), introduced(assumption)).
% 7.96/5.79 tff(18665,plain,
% 7.96/5.79 (xuntil6(s146) | (~until5(s146))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9706, 352, 18664])).
% 7.96/5.79 tff(18666,plain,
% 7.96/5.79 (xuntil6(s146)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18665, 18663])).
% 7.96/5.79 tff(18667,plain,
% 7.96/5.79 (until5(s147)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9712, 18666])).
% 7.96/5.79 tff(18668,plain,
% 7.96/5.79 (~node4(s147)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9721, 16, 17995])).
% 7.96/5.79 tff(18669,plain,
% 7.96/5.79 (xuntil6(s147) | (~until5(s147))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9762, 352, 18668])).
% 7.96/5.79 tff(18670,plain,
% 7.96/5.79 (xuntil6(s147)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18669, 18667])).
% 7.96/5.79 tff(18671,plain,
% 7.96/5.79 (until5(s148)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9768, 18670])).
% 7.96/5.79 tff(18672,assumption,(~node4(s148)), introduced(assumption)).
% 7.96/5.79 tff(18673,plain,
% 7.96/5.79 (xuntil6(s148) | (~until5(s148))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9818, 352, 18672])).
% 7.96/5.79 tff(18674,plain,
% 7.96/5.79 (xuntil6(s148)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18673, 18671])).
% 7.96/5.79 tff(18675,plain,
% 7.96/5.79 (until5(s149)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9824, 18674])).
% 7.96/5.79 tff(18676,plain,
% 7.96/5.79 (~node4(s149)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9833, 16, 17993])).
% 7.96/5.79 tff(18677,plain,
% 7.96/5.79 (xuntil6(s149) | (~until5(s149))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9868, 352, 18676])).
% 7.96/5.79 tff(18678,plain,
% 7.96/5.79 (xuntil6(s149)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18677, 18675])).
% 7.96/5.79 tff(18679,plain,
% 7.96/5.79 (until5(s150)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9874, 18678])).
% 7.96/5.79 tff(18680,plain,
% 7.96/5.79 (~node4(s150)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[192, 16, 17992])).
% 7.96/5.79 tff(18681,plain,
% 7.96/5.79 (xuntil6(s150) | (~until5(s150))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9881, 352, 18680])).
% 7.96/5.79 tff(18682,plain,
% 7.96/5.79 (xuntil6(s150)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18681, 18679])).
% 7.96/5.79 tff(18683,plain,
% 7.96/5.79 (until5(s151)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9886, 18682])).
% 7.96/5.79 tff(18684,assumption,(~node4(s151)), introduced(assumption)).
% 7.96/5.79 tff(18685,plain,
% 7.96/5.79 (xuntil6(s151) | (~until5(s151))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9936, 352, 18684])).
% 7.96/5.79 tff(18686,plain,
% 7.96/5.79 (xuntil6(s151)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18685, 18683])).
% 7.96/5.79 tff(18687,plain,
% 7.96/5.79 (until5(s152)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9942, 18686])).
% 7.96/5.79 tff(18688,plain,
% 7.96/5.79 (xuntil6(s152) | (~until5(s152))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9992, 352, 12995])).
% 7.96/5.79 tff(18689,plain,
% 7.96/5.79 (xuntil6(s152)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18688, 18687])).
% 7.96/5.79 tff(18690,plain,
% 7.96/5.79 (until5(s153)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[9998, 18689])).
% 7.96/5.79 tff(18691,plain,
% 7.96/5.79 (xuntil6(s153) | (~until5(s153))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10048, 352, 12994])).
% 7.96/5.79 tff(18692,plain,
% 7.96/5.79 (xuntil6(s153)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18691, 18690])).
% 7.96/5.79 tff(18693,plain,
% 7.96/5.79 (until5(s154)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10054, 18692])).
% 7.96/5.79 tff(18694,plain,
% 7.96/5.79 (~node4(s154)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10063, 16, 17988])).
% 7.96/5.79 tff(18695,plain,
% 7.96/5.79 (xuntil6(s154) | (~until5(s154))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10104, 352, 18694])).
% 7.96/5.79 tff(18696,plain,
% 7.96/5.79 (xuntil6(s154)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18695, 18693])).
% 7.96/5.79 tff(18697,plain,
% 7.96/5.79 (until5(s155)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10110, 18696])).
% 7.96/5.79 tff(18698,plain,
% 7.96/5.79 (xuntil6(s155)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[13368, 18697])).
% 7.96/5.79 tff(18699,plain,
% 7.96/5.79 (until5(s156)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10166, 18698])).
% 7.96/5.79 tff(18700,plain,
% 7.96/5.79 (xuntil6(s156)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[13372, 18699])).
% 7.96/5.79 tff(18701,plain,
% 7.96/5.79 (until5(s157)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10222, 18700])).
% 7.96/5.79 tff(18702,plain,
% 7.96/5.79 (xuntil6(s157)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[13376, 18701])).
% 7.96/5.79 tff(18703,plain,
% 7.96/5.79 (until5(s158)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10278, 18702])).
% 7.96/5.79 tff(18704,plain,
% 7.96/5.79 (~node4(s158)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10287, 16, 17984])).
% 7.96/5.79 tff(18705,plain,
% 7.96/5.79 (xuntil6(s158) | (~until5(s158))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10328, 352, 18704])).
% 7.96/5.79 tff(18706,plain,
% 7.96/5.79 (xuntil6(s158)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18705, 18703])).
% 7.96/5.79 tff(18707,plain,
% 7.96/5.79 (until5(s159)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10334, 18706])).
% 7.96/5.79 tff(18708,plain,
% 7.96/5.79 (~node4(s159)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10343, 16, 17983])).
% 7.96/5.79 tff(18709,plain,
% 7.96/5.79 (xuntil6(s159) | (~until5(s159))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10384, 352, 18708])).
% 7.96/5.79 tff(18710,plain,
% 7.96/5.79 (xuntil6(s159)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18709, 18707])).
% 7.96/5.79 tff(18711,plain,
% 7.96/5.79 (until5(s160)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10390, 18710])).
% 7.96/5.79 tff(18712,plain,
% 7.96/5.79 (~node4(s160)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10399, 16, 17982])).
% 7.96/5.79 tff(18713,plain,
% 7.96/5.79 (xuntil6(s160) | (~until5(s160))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10440, 352, 18712])).
% 7.96/5.79 tff(18714,plain,
% 7.96/5.79 (xuntil6(s160)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18713, 18711])).
% 7.96/5.79 tff(18715,plain,
% 7.96/5.79 (until5(s161)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10446, 18714])).
% 7.96/5.79 tff(18716,plain,
% 7.96/5.79 (xuntil6(s161)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[13390, 18715])).
% 7.96/5.79 tff(18717,plain,
% 7.96/5.79 (until5(s162)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10505, 18716])).
% 7.96/5.79 tff(18718,plain,
% 7.96/5.79 (xuntil6(s162)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[13394, 18717])).
% 7.96/5.79 tff(18719,plain,
% 7.96/5.79 (until5(s163)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10561, 18718])).
% 7.96/5.79 tff(18720,assumption,(~node4(s163)), introduced(assumption)).
% 7.96/5.79 tff(18721,plain,
% 7.96/5.79 (xuntil6(s163) | (~until5(s163))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10611, 352, 18720])).
% 7.96/5.79 tff(18722,plain,
% 7.96/5.79 (xuntil6(s163)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18721, 18719])).
% 7.96/5.79 tff(18723,plain,
% 7.96/5.79 (until5(s164)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10617, 18722])).
% 7.96/5.79 tff(18724,plain,
% 7.96/5.79 (xuntil6(s164)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[13400, 18723])).
% 7.96/5.79 tff(18725,plain,
% 7.96/5.79 (until5(s165)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10676, 18724])).
% 7.96/5.79 tff(18726,plain,
% 7.96/5.79 (xuntil6(s165)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[13404, 18725])).
% 7.96/5.79 tff(18727,plain,
% 7.96/5.79 (until5(s166)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10732, 18726])).
% 7.96/5.79 tff(18728,plain,
% 7.96/5.79 (xuntil6(s166)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[13408, 18727])).
% 7.96/5.79 tff(18729,plain,
% 7.96/5.79 (until5(s167)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10788, 18728])).
% 7.96/5.79 tff(18730,plain,
% 7.96/5.79 (~node4(s167)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10797, 16, 17975])).
% 7.96/5.79 tff(18731,plain,
% 7.96/5.79 (xuntil6(s167) | (~until5(s167))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10838, 352, 18730])).
% 7.96/5.79 tff(18732,plain,
% 7.96/5.79 (xuntil6(s167)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18731, 18729])).
% 7.96/5.79 tff(18733,plain,
% 7.96/5.79 (until5(s168)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10844, 18732])).
% 7.96/5.79 tff(18734,plain,
% 7.96/5.79 (xuntil6(s168)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[12991, 18733])).
% 7.96/5.79 tff(18735,plain,
% 7.96/5.79 (until5(s169)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10900, 18734])).
% 7.96/5.79 tff(18736,plain,
% 7.96/5.79 (xuntil6(s169)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[12987, 18735])).
% 7.96/5.79 tff(18737,plain,
% 7.96/5.79 (until5(s170)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[10956, 18736])).
% 7.96/5.79 tff(18738,plain,
% 7.96/5.79 (xuntil6(s170)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[12983, 18737])).
% 7.96/5.79 tff(18739,plain,
% 7.96/5.79 (until5(s171)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11029, 18738])).
% 7.96/5.79 tff(18740,plain,
% 7.96/5.79 (xuntil6(s171)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11080, 18739])).
% 7.96/5.79 tff(18741,plain,
% 7.96/5.79 (until5(s172)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11085, 18740])).
% 7.96/5.79 tff(18742,plain,
% 7.96/5.79 (xuntil6(s172)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[12977, 18741])).
% 7.96/5.79 tff(18743,plain,
% 7.96/5.79 (until5(s173)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11141, 18742])).
% 7.96/5.79 tff(18744,assumption,(~node4(s173)), introduced(assumption)).
% 7.96/5.79 tff(18745,plain,
% 7.96/5.79 (xuntil6(s173) | (~until5(s173))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11191, 352, 18744])).
% 7.96/5.79 tff(18746,plain,
% 7.96/5.79 (xuntil6(s173)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18745, 18743])).
% 7.96/5.79 tff(18747,plain,
% 7.96/5.79 (until5(s174)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11197, 18746])).
% 7.96/5.79 tff(18748,plain,
% 7.96/5.79 (xuntil6(s174)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[12971, 18747])).
% 7.96/5.79 tff(18749,plain,
% 7.96/5.79 (until5(s175)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11256, 18748])).
% 7.96/5.79 tff(18750,plain,
% 7.96/5.79 (xuntil6(s175)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[12967, 18749])).
% 7.96/5.79 tff(18751,plain,
% 7.96/5.79 (until5(s176)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11312, 18750])).
% 7.96/5.79 tff(18752,plain,
% 7.96/5.79 (xuntil6(s176)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[12963, 18751])).
% 7.96/5.79 tff(18753,plain,
% 7.96/5.79 (until5(s177)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11372, 18752])).
% 7.96/5.79 tff(18754,plain,
% 7.96/5.79 (xuntil6(s177)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[12959, 18753])).
% 7.96/5.79 tff(18755,plain,
% 7.96/5.79 (until5(s178)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11428, 18754])).
% 7.96/5.79 tff(18756,plain,
% 7.96/5.79 (~node4(s178)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11437, 16, 17964])).
% 7.96/5.79 tff(18757,plain,
% 7.96/5.79 (xuntil6(s178) | (~until5(s178))),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11478, 352, 18756])).
% 7.96/5.79 tff(18758,plain,
% 7.96/5.79 (xuntil6(s178)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18757, 18755])).
% 7.96/5.79 tff(18759,plain,
% 7.96/5.79 (until5(s179)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11484, 18758])).
% 7.96/5.79 tff(18760,plain,
% 7.96/5.79 (xuntil6(s179)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[12948, 18759])).
% 7.96/5.79 tff(18761,plain,
% 7.96/5.79 ($false),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[11540, 18760, 18453])).
% 7.96/5.79 tff(18762,plain,(always3(s266) | node4(s179) | node4(s180) | node4(s177) | node4(s176) | node4(s175) | node4(s174) | node4(s185) | node4(s173) | node4(s186) | node4(s172) | node4(s170) | node4(s189) | node4(s169) | node4(s168) | node4(s191) | node4(s166) | node4(s193) | node4(s165) | node4(s164) | node4(s163) | node4(s162) | node4(s197) | node4(s161) | node4(s198) | node4(s199) | node4(s200) | node4(s201) | node4(s157) | node4(s156) | node4(s155) | node4(s204) | node4(s205) | node4(s153) | node4(s206) | node4(s152) | node4(s207) | node4(s151) | node4(s209) | node4(s210) | node4(s148) | node4(s146) | node4(s145) | node4(s144) | node4(s215) | node4(s216) | node4(s142) | node4(s217) | node4(s141) | node4(s219) | node4(s220) | node4(s138) | node4(s221) | node4(s222) | node4(s136) | node4(s135) | node4(s224) | node4(s134) | node4(s132) | node4(s227) | node4(s228) | node4(s130) | node4(s229) | node4(s127) | node4(s232) | node4(s126) | node4(s233) | node4(s125) | node4(s124) | node4(s123) | node4(s121) | node4(s238) | node4(s239) | node4(s119) | node4(s118) | node4(s241) | node4(s117) | node4(s243) | node4(s115) | node4(s248) | node4(s110) | node4(s109) | node4(s250) | node4(s251) | node4(s252) | node4(s106) | node4(s104) | node4(s103) | node4(s256) | node4(s257) | node4(s101) | node4(s258) | node4(s261) | node4(s97) | node4(s262) | node4(s95) | node4(s94) | node4(s265) | (~until5(s92)) | xuntil6(s266)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.79 tff(18763,plain,
% 7.96/5.79 (always3(s266) | node4(s179) | node4(s180) | node4(s177) | node4(s176) | node4(s175) | node4(s174) | node4(s185) | node4(s186) | node4(s172) | node4(s170) | node4(s189) | node4(s169) | node4(s168) | node4(s191) | node4(s166) | node4(s193) | node4(s165) | node4(s164) | node4(s163) | node4(s162) | node4(s197) | node4(s161) | node4(s198) | node4(s199) | node4(s200) | node4(s201) | node4(s157) | node4(s156) | node4(s155) | node4(s204) | node4(s205) | node4(s153) | node4(s206) | node4(s152) | node4(s207) | node4(s151) | node4(s209) | node4(s148) | node4(s146) | node4(s145) | node4(s144) | node4(s215) | node4(s216) | node4(s142) | node4(s217) | node4(s141) | node4(s219) | node4(s220) | node4(s138) | node4(s221) | node4(s222) | node4(s136) | node4(s135) | node4(s224) | node4(s134) | node4(s132) | node4(s227) | node4(s228) | node4(s130) | node4(s229) | node4(s127) | node4(s232) | node4(s126) | node4(s233) | node4(s125) | node4(s124) | node4(s123) | node4(s121) | node4(s238) | node4(s239) | node4(s119) | node4(s118) | node4(s241) | node4(s117) | node4(s243) | node4(s248) | node4(s110) | node4(s109) | node4(s250) | node4(s251) | node4(s252) | node4(s106) | node4(s104) | node4(s103) | node4(s256) | node4(s257) | node4(s101) | node4(s258) | node4(s261) | node4(s262) | node4(s94) | node4(s265) | (~until5(s92)) | xuntil6(s266)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18762, 13977, 6863, 11185, 6751, 7947])).
% 7.96/5.79 tff(18764,plain,
% 7.96/5.79 (always3(s266) | node4(s179) | node4(s180) | node4(s177) | node4(s176) | node4(s175) | node4(s174) | node4(s185) | node4(s186) | node4(s172) | node4(s170) | node4(s189) | node4(s169) | node4(s168) | node4(s191) | node4(s166) | node4(s193) | node4(s165) | node4(s164) | node4(s163) | node4(s162) | node4(s197) | node4(s161) | node4(s198) | node4(s199) | node4(s200) | node4(s201) | node4(s157) | node4(s156) | node4(s155) | node4(s204) | node4(s205) | node4(s153) | node4(s206) | node4(s152) | node4(s207) | node4(s151) | node4(s209) | node4(s148) | node4(s146) | node4(s145) | node4(s144) | node4(s215) | node4(s216) | node4(s142) | node4(s217) | node4(s141) | node4(s219) | node4(s220) | node4(s138) | node4(s221) | node4(s222) | node4(s136) | node4(s135) | node4(s224) | node4(s134) | node4(s132) | node4(s227) | node4(s228) | node4(s130) | node4(s229) | node4(s127) | node4(s232) | node4(s126) | node4(s233) | node4(s125) | node4(s124) | node4(s123) | node4(s121) | node4(s238) | node4(s239) | node4(s119) | node4(s118) | node4(s241) | node4(s117) | node4(s243) | node4(s248) | node4(s110) | node4(s109) | node4(s250) | node4(s251) | node4(s252) | node4(s104) | node4(s103) | node4(s256) | node4(s257) | node4(s101) | node4(s258) | node4(s261) | node4(s262) | node4(s94) | node4(s265) | (~until5(s92)) | xuntil6(s266)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18763, 7416])).
% 7.96/5.79 tff(18765,plain,
% 7.96/5.79 (always3(s266) | node4(s179) | node4(s180) | node4(s177) | node4(s176) | node4(s175) | node4(s174) | node4(s172) | node4(s170) | node4(s169) | node4(s168) | node4(s166) | node4(s165) | node4(s164) | node4(s162) | node4(s197) | node4(s161) | node4(s198) | node4(s199) | node4(s200) | node4(s201) | node4(s157) | node4(s156) | node4(s155) | node4(s204) | node4(s205) | node4(s153) | node4(s206) | node4(s152) | node4(s207) | node4(s151) | node4(s209) | node4(s146) | node4(s145) | node4(s144) | node4(s215) | node4(s216) | node4(s142) | node4(s217) | node4(s141) | node4(s219) | node4(s220) | node4(s138) | node4(s221) | node4(s222) | node4(s136) | node4(s135) | node4(s224) | node4(s134) | node4(s132) | node4(s227) | node4(s228) | node4(s130) | node4(s229) | node4(s127) | node4(s232) | node4(s126) | node4(s233) | node4(s125) | node4(s124) | node4(s123) | node4(s121) | node4(s238) | node4(s239) | node4(s119) | node4(s118) | node4(s241) | node4(s117) | node4(s243) | node4(s248) | node4(s110) | node4(s109) | node4(s250) | node4(s251) | node4(s252) | node4(s104) | node4(s103) | node4(s256) | node4(s257) | node4(s101) | node4(s258) | node4(s261) | node4(s262) | node4(s94) | node4(s265) | (~until5(s92)) | xuntil6(s266)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18764, 11923, 12091, 12203, 12315, 11867, 10605, 9812])).
% 7.96/5.79 tff(18766,plain,
% 7.96/5.79 ($false),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18765, 18135, 18134, 17859, 17860, 18133, 18128, 18127, 18126, 18125, 18124, 18123, 18122, 18121, 18120, 18119, 18118, 18117, 18116, 18115, 18114, 18113, 18112, 18111, 18110, 18109, 18108, 18107, 18106, 18105, 18104, 18103, 18102, 18101, 18100, 18099, 18098, 18097, 18096, 18095, 18094, 18093, 18092, 18091, 18090, 18089, 18088, 18087, 18086, 18085, 18084, 18083, 18082, 18081, 18080, 18079, 18078, 18077, 18076, 18075, 18074, 18073, 18072, 18071, 18070, 18069, 18068, 18067, 18066, 18065, 18064, 18063, 18062, 18061, 18060, 18059, 18058, 18057, 18056, 18055, 18054, 18053, 18052, 18051, 18050, 18049, 17885, 17881])).
% 7.96/5.79 tff(18767,plain,(always3(s266) | xuntil6(s266)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.79 tff(18768,plain,
% 7.96/5.79 (always3(s266)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18767, 17859])).
% 7.96/5.79 tff(18769,plain,
% 7.96/5.79 (succ(s266, s267) <=> succ(s266, s267)),
% 7.96/5.79 inference(rewrite,[status(thm)],[])).
% 7.96/5.79 tff(18770,axiom,(succ(s266, s267)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound267')).
% 7.96/5.79 tff(18771,plain,
% 7.96/5.79 (succ(s266, s267)),
% 7.96/5.79 inference(modus_ponens,[status(thm)],[18770, 18769])).
% 7.96/5.79 tff(18772,plain,
% 7.96/5.79 (((~![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))),
% 7.96/5.79 inference(rewrite,[status(thm)],[])).
% 7.96/5.79 tff(18773,plain,
% 7.96/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))),
% 7.96/5.79 inference(quant_inst,[status(thm)],[])).
% 7.96/5.79 tff(18774,plain,
% 7.96/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267)),
% 7.96/5.79 inference(modus_ponens,[status(thm)],[18773, 18772])).
% 7.96/5.79 tff(18775,plain,
% 7.96/5.79 (trans(s266, s267)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18774, 18771, 39])).
% 7.96/5.79 tff(18776,plain,
% 7.96/5.79 (((~![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))),
% 7.96/5.79 inference(rewrite,[status(thm)],[])).
% 7.96/5.79 tff(18777,plain,
% 7.96/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s266, s267)) | (~always3(s266)) | always3(s267))),
% 7.96/5.79 inference(quant_inst,[status(thm)],[])).
% 7.96/5.79 tff(18778,plain,
% 7.96/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s266, s267)) | (~always3(s266)) | always3(s267)),
% 7.96/5.79 inference(modus_ponens,[status(thm)],[18777, 18776])).
% 7.96/5.79 tff(18779,plain,
% 7.96/5.79 ((~always3(s266)) | always3(s267)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18778, 112, 18775])).
% 7.96/5.79 tff(18780,plain,
% 7.96/5.79 (always3(s267)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18779, 18768])).
% 7.96/5.79 tff(18781,plain,
% 7.96/5.79 (((~![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)))),
% 7.96/5.79 inference(rewrite,[status(thm)],[])).
% 7.96/5.79 tff(18782,plain,
% 7.96/5.79 (((~m_main_v_state(s267, c_busy)) | (~always3(s267))) <=> ((~always3(s267)) | (~m_main_v_state(s267, c_busy)))),
% 7.96/5.79 inference(rewrite,[status(thm)],[])).
% 7.96/5.79 tff(18783,plain,
% 7.96/5.79 (((~![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))))),
% 7.96/5.79 inference(monotonicity,[status(thm)],[18782])).
% 7.96/5.79 tff(18784,plain,
% 7.96/5.79 (((~![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)))),
% 7.96/5.79 inference(transitivity,[status(thm)],[18783, 18781])).
% 7.96/5.79 tff(18785,plain,
% 7.96/5.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s267, c_busy)) | (~always3(s267)))),
% 7.96/5.79 inference(quant_inst,[status(thm)],[])).
% 7.96/5.79 tff(18786,plain,
% 7.96/5.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s267)) | (~m_main_v_state(s267, c_busy))),
% 7.96/5.79 inference(modus_ponens,[status(thm)],[18785, 18784])).
% 7.96/5.79 tff(18787,plain,
% 7.96/5.79 (~m_main_v_state(s267, c_busy)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18786, 72, 18780])).
% 7.96/5.79 tff(18788,assumption,(until5(s266)), introduced(assumption)).
% 7.96/5.79 tff(18789,plain,
% 7.96/5.79 (xuntil6(s266) | node4(s266)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18146, 352, 18788])).
% 7.96/5.79 tff(18790,plain,
% 7.96/5.79 (node4(s266)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18789, 17859])).
% 7.96/5.79 tff(18791,plain,
% 7.96/5.79 (((~![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)))),
% 7.96/5.79 inference(rewrite,[status(thm)],[])).
% 7.96/5.79 tff(18792,plain,
% 7.96/5.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s266) | (~node4(s266)))),
% 7.96/5.79 inference(quant_inst,[status(thm)],[])).
% 7.96/5.79 tff(18793,plain,
% 7.96/5.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s266) | (~node4(s266))),
% 7.96/5.79 inference(modus_ponens,[status(thm)],[18792, 18791])).
% 7.96/5.79 tff(18794,plain,
% 7.96/5.79 (m_main_v_request(s266)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18793, 28, 18790])).
% 7.96/5.79 tff(18795,plain,
% 7.96/5.79 (((~![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))),
% 7.96/5.79 inference(rewrite,[status(thm)],[])).
% 7.96/5.79 tff(18796,plain,
% 7.96/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s266, s267)) | node2(s266, s267))),
% 7.96/5.79 inference(quant_inst,[status(thm)],[])).
% 7.96/5.79 tff(18797,plain,
% 7.96/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s266, s267)) | node2(s266, s267)),
% 7.96/5.79 inference(modus_ponens,[status(thm)],[18796, 18795])).
% 7.96/5.79 tff(18798,plain,
% 7.96/5.79 (node2(s266, s267)),
% 7.96/5.79 inference(unit_resolution,[status(thm)],[18797, 7, 18775])).
% 7.96/5.79 tff(18799,plain,
% 7.96/5.79 (((~![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(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)))),
% 7.96/5.80 inference(rewrite,[status(thm)],[])).
% 7.96/5.80 tff(18800,plain,
% 7.96/5.80 ((~![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(s266, c_ready)) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266)))),
% 7.96/5.80 inference(quant_inst,[status(thm)],[])).
% 7.96/5.80 tff(18801,plain,
% 7.96/5.80 ((~![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(s266, c_ready)) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266))),
% 7.96/5.80 inference(modus_ponens,[status(thm)],[18800, 18799])).
% 7.96/5.80 tff(18802,plain,
% 7.96/5.80 ((~m_main_v_state(s266, c_ready)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266))),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18801, 60, 18798])).
% 7.96/5.80 tff(18803,plain,
% 7.96/5.80 (~m_main_v_state(s266, c_ready)),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18802, 18794, 18787])).
% 7.96/5.80 tff(18804,plain,
% 7.96/5.80 (((~![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)))),
% 7.96/5.80 inference(rewrite,[status(thm)],[])).
% 7.96/5.80 tff(18805,plain,
% 7.96/5.80 (((~m_main_v_state(s266, c_busy)) | (~always3(s266))) <=> ((~always3(s266)) | (~m_main_v_state(s266, c_busy)))),
% 7.96/5.80 inference(rewrite,[status(thm)],[])).
% 7.96/5.80 tff(18806,plain,
% 7.96/5.80 (((~![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))))),
% 7.96/5.80 inference(monotonicity,[status(thm)],[18805])).
% 7.96/5.80 tff(18807,plain,
% 7.96/5.80 (((~![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)))),
% 7.96/5.80 inference(transitivity,[status(thm)],[18806, 18804])).
% 7.96/5.80 tff(18808,plain,
% 7.96/5.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s266, c_busy)) | (~always3(s266)))),
% 7.96/5.80 inference(quant_inst,[status(thm)],[])).
% 7.96/5.80 tff(18809,plain,
% 7.96/5.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s266)) | (~m_main_v_state(s266, c_busy))),
% 7.96/5.80 inference(modus_ponens,[status(thm)],[18808, 18807])).
% 7.96/5.80 tff(18810,plain,
% 7.96/5.80 (~m_main_v_state(s266, c_busy)),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18809, 72, 18768])).
% 7.96/5.80 tff(18811,plain,
% 7.96/5.80 (((~![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))),
% 7.96/5.80 inference(rewrite,[status(thm)],[])).
% 7.96/5.80 tff(18812,plain,
% 7.96/5.80 ((~![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))),
% 7.96/5.80 inference(quant_inst,[status(thm)],[])).
% 7.96/5.80 tff(18813,plain,
% 7.96/5.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s266, c_busy) | m_main_v_state(s266, c_ready)),
% 7.96/5.80 inference(modus_ponens,[status(thm)],[18812, 18811])).
% 7.96/5.80 tff(18814,plain,
% 7.96/5.80 ($false),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18813, 89, 18810, 18803])).
% 7.96/5.80 tff(18815,plain,(xuntil6(s266) | (~until5(s266))), inference(lemma,lemma(discharge,[]))).
% 7.96/5.80 tff(18816,plain,
% 7.96/5.80 (~until5(s266)),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18815, 17859])).
% 7.96/5.80 tff(18817,plain,
% 7.96/5.80 (~xuntil6(s265)),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18152, 18816])).
% 7.96/5.80 tff(18818,assumption,(until5(s265)), introduced(assumption)).
% 7.96/5.80 tff(18819,plain,
% 7.96/5.80 (xuntil6(s265) | node4(s265)),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18159, 352, 18818])).
% 7.96/5.80 tff(18820,plain,
% 7.96/5.80 (node4(s265)),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18819, 18817])).
% 7.96/5.80 tff(18821,assumption,(~m_main_v_state(s266, c_busy)), introduced(assumption)).
% 7.96/5.80 tff(18822,assumption,(node4(s265)), introduced(assumption)).
% 7.96/5.80 tff(18823,plain,
% 7.96/5.80 (((~![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)))),
% 7.96/5.80 inference(rewrite,[status(thm)],[])).
% 7.96/5.80 tff(18824,plain,
% 7.96/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s265) | (~node4(s265)))),
% 7.96/5.80 inference(quant_inst,[status(thm)],[])).
% 7.96/5.80 tff(18825,plain,
% 7.96/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s265) | (~node4(s265))),
% 7.96/5.80 inference(modus_ponens,[status(thm)],[18824, 18823])).
% 7.96/5.80 tff(18826,plain,
% 7.96/5.80 (m_main_v_request(s265)),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18825, 28, 18822])).
% 7.96/5.80 tff(18827,plain,
% 7.96/5.80 (((~![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))),
% 7.96/5.80 inference(rewrite,[status(thm)],[])).
% 7.96/5.80 tff(18828,plain,
% 7.96/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s265, s266)) | node2(s265, s266))),
% 7.96/5.80 inference(quant_inst,[status(thm)],[])).
% 7.96/5.80 tff(18829,plain,
% 7.96/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s265, s266)) | node2(s265, s266)),
% 7.96/5.80 inference(modus_ponens,[status(thm)],[18828, 18827])).
% 7.96/5.80 tff(18830,plain,
% 7.96/5.80 (node2(s265, s266)),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18829, 7, 17867])).
% 7.96/5.80 tff(18831,plain,
% 7.96/5.80 (((~![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(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)))),
% 7.96/5.80 inference(rewrite,[status(thm)],[])).
% 7.96/5.80 tff(18832,plain,
% 7.96/5.80 ((~![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(s265, c_ready)) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265)))),
% 7.96/5.80 inference(quant_inst,[status(thm)],[])).
% 7.96/5.80 tff(18833,plain,
% 7.96/5.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s265, c_ready)) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265))),
% 7.96/5.80 inference(modus_ponens,[status(thm)],[18832, 18831])).
% 7.96/5.80 tff(18834,plain,
% 7.96/5.80 ((~m_main_v_state(s265, c_ready)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265))),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18833, 60, 18830])).
% 7.96/5.80 tff(18835,plain,
% 7.96/5.80 (~m_main_v_state(s265, c_ready)),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18834, 18826, 18821])).
% 7.96/5.80 tff(18836,assumption,(~always3(s265)), introduced(assumption)).
% 7.96/5.80 tff(18837,plain,
% 7.96/5.80 ($false),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[17884, 16, 18836, 18822])).
% 7.96/5.80 tff(18838,plain,((~node4(s265)) | always3(s265)), inference(lemma,lemma(discharge,[]))).
% 7.96/5.80 tff(18839,plain,
% 7.96/5.80 (always3(s265)),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[18838, 18822])).
% 7.96/5.80 tff(18840,plain,
% 7.96/5.80 (~m_main_v_state(s265, c_busy)),
% 7.96/5.80 inference(unit_resolution,[status(thm)],[17829, 72, 18839])).
% 7.96/5.80 tff(18841,plain,
% 7.96/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18842,plain,
% 8.03/5.80 ((~![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))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18843,plain,
% 8.03/5.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s265, c_busy) | m_main_v_state(s265, c_ready)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18842, 18841])).
% 8.03/5.80 tff(18844,plain,
% 8.03/5.80 ($false),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18843, 89, 18840, 18835])).
% 8.03/5.80 tff(18845,plain,((~node4(s265)) | m_main_v_state(s266, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.03/5.80 tff(18846,plain,
% 8.03/5.80 (m_main_v_state(s266, c_busy)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18845, 18820])).
% 8.03/5.80 tff(18847,plain,
% 8.03/5.80 ($false),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18809, 72, 18768, 18846])).
% 8.03/5.80 tff(18848,plain,(xuntil6(s266) | (~until5(s265))), inference(lemma,lemma(discharge,[]))).
% 8.03/5.80 tff(18849,plain,
% 8.03/5.80 (xuntil6(s266)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18848, 17858])).
% 8.03/5.80 tff(18850,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18851,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18852,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18851, 18850])).
% 8.03/5.80 tff(18853,plain,
% 8.03/5.80 ((~xuntil6(s266)) | until5(s267)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18852, 18771, 370])).
% 8.03/5.80 tff(18854,plain,
% 8.03/5.80 (until5(s267)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18853, 18849])).
% 8.03/5.80 tff(18855,assumption,(node4(s267)), introduced(assumption)).
% 8.03/5.80 tff(18856,plain,
% 8.03/5.80 (((~![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)))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18857,plain,
% 8.03/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s267) | (~node4(s267)))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18858,plain,
% 8.03/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s267) | (~node4(s267))),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18857, 18856])).
% 8.03/5.80 tff(18859,plain,
% 8.03/5.80 (m_main_v_request(s267)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18858, 28, 18855])).
% 8.03/5.80 tff(18860,plain,
% 8.03/5.80 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s267) | (~node4(s267)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s267) | (~node4(s267)))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18861,plain,
% 8.03/5.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s267) | (~node4(s267)))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18862,plain,
% 8.03/5.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s267) | (~node4(s267))),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18861, 18860])).
% 8.03/5.80 tff(18863,plain,
% 8.03/5.80 (always3(s267)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18862, 16, 18855])).
% 8.03/5.80 tff(18864,plain,
% 8.03/5.80 (succ(s267, s268) <=> succ(s267, s268)),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18865,axiom,(succ(s267, s268)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound268')).
% 8.03/5.80 tff(18866,plain,
% 8.03/5.80 (succ(s267, s268)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18865, 18864])).
% 8.03/5.80 tff(18867,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18868,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18869,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18868, 18867])).
% 8.03/5.80 tff(18870,plain,
% 8.03/5.80 (trans(s267, s268)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18869, 18866, 39])).
% 8.03/5.80 tff(18871,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18872,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s267, s268)) | (~always3(s267)) | always3(s268))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18873,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s267, s268)) | (~always3(s267)) | always3(s268)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18872, 18871])).
% 8.03/5.80 tff(18874,plain,
% 8.03/5.80 ((~always3(s267)) | always3(s268)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18873, 112, 18870])).
% 8.03/5.80 tff(18875,plain,
% 8.03/5.80 (always3(s268)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18874, 18863])).
% 8.03/5.80 tff(18876,plain,
% 8.03/5.80 (((~![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)))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18877,plain,
% 8.03/5.80 (((~m_main_v_state(s268, c_busy)) | (~always3(s268))) <=> ((~always3(s268)) | (~m_main_v_state(s268, c_busy)))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18878,plain,
% 8.03/5.80 (((~![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))))),
% 8.03/5.80 inference(monotonicity,[status(thm)],[18877])).
% 8.03/5.80 tff(18879,plain,
% 8.03/5.80 (((~![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)))),
% 8.03/5.80 inference(transitivity,[status(thm)],[18878, 18876])).
% 8.03/5.80 tff(18880,plain,
% 8.03/5.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s268, c_busy)) | (~always3(s268)))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18881,plain,
% 8.03/5.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s268)) | (~m_main_v_state(s268, c_busy))),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18880, 18879])).
% 8.03/5.80 tff(18882,plain,
% 8.03/5.80 (~m_main_v_state(s268, c_busy)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18881, 72, 18875])).
% 8.03/5.80 tff(18883,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18884,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s267, s268)) | node2(s267, s268))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18885,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s267, s268)) | node2(s267, s268)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18884, 18883])).
% 8.03/5.80 tff(18886,plain,
% 8.03/5.80 (node2(s267, s268)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18885, 7, 18870])).
% 8.03/5.80 tff(18887,plain,
% 8.03/5.80 (((~![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(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)))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18888,plain,
% 8.03/5.80 ((~![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(s267, c_ready)) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267)))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18889,plain,
% 8.03/5.80 ((~![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(s267, c_ready)) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267))),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18888, 18887])).
% 8.03/5.80 tff(18890,plain,
% 8.03/5.80 ((~m_main_v_state(s267, c_ready)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267))),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18889, 60, 18886])).
% 8.03/5.80 tff(18891,plain,
% 8.03/5.80 (~m_main_v_state(s267, c_ready)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18890, 18882, 18859])).
% 8.03/5.80 tff(18892,plain,
% 8.03/5.80 (~m_main_v_state(s267, c_busy)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18786, 72, 18863])).
% 8.03/5.80 tff(18893,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18894,plain,
% 8.03/5.80 ((~![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))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18895,plain,
% 8.03/5.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s267, c_busy) | m_main_v_state(s267, c_ready)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18894, 18893])).
% 8.03/5.80 tff(18896,plain,
% 8.03/5.80 ($false),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18895, 89, 18892, 18891])).
% 8.03/5.80 tff(18897,plain,(~node4(s267)), inference(lemma,lemma(discharge,[]))).
% 8.03/5.80 tff(18898,plain,
% 8.03/5.80 (((~![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)))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18899,plain,
% 8.03/5.80 ((node4(s267) | (~until5(s267)) | xuntil6(s267)) <=> (xuntil6(s267) | node4(s267) | (~until5(s267)))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18900,plain,
% 8.03/5.80 (((~![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))))),
% 8.03/5.80 inference(monotonicity,[status(thm)],[18899])).
% 8.03/5.80 tff(18901,plain,
% 8.03/5.80 (((~![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)))),
% 8.03/5.80 inference(transitivity,[status(thm)],[18900, 18898])).
% 8.03/5.80 tff(18902,plain,
% 8.03/5.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s267) | (~until5(s267)) | xuntil6(s267))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18903,plain,
% 8.03/5.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s267) | node4(s267) | (~until5(s267))),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18902, 18901])).
% 8.03/5.80 tff(18904,plain,
% 8.03/5.80 (xuntil6(s267) | (~until5(s267))),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18903, 352, 18897])).
% 8.03/5.80 tff(18905,plain,
% 8.03/5.80 (xuntil6(s267)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18904, 18854])).
% 8.03/5.80 tff(18906,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18907,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18908,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18907, 18906])).
% 8.03/5.80 tff(18909,plain,
% 8.03/5.80 ((~xuntil6(s267)) | until5(s268)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18908, 18866, 370])).
% 8.03/5.80 tff(18910,plain,
% 8.03/5.80 (until5(s268)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18909, 18905])).
% 8.03/5.80 tff(18911,assumption,(~always3(s338)), introduced(assumption)).
% 8.03/5.80 tff(18912,plain,
% 8.03/5.80 (succ(s337, s338) <=> succ(s337, s338)),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18913,axiom,(succ(s337, s338)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound338')).
% 8.03/5.80 tff(18914,plain,
% 8.03/5.80 (succ(s337, s338)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18913, 18912])).
% 8.03/5.80 tff(18915,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18916,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s337, s338)) | trans(s337, s338))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18917,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s337, s338)) | trans(s337, s338)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18916, 18915])).
% 8.03/5.80 tff(18918,plain,
% 8.03/5.80 (trans(s337, s338)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18917, 18914, 39])).
% 8.03/5.80 tff(18919,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18920,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s337, s338)) | (~always3(s337)) | always3(s338))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18921,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s337, s338)) | (~always3(s337)) | always3(s338)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18920, 18919])).
% 8.03/5.80 tff(18922,plain,
% 8.03/5.80 ((~always3(s337)) | always3(s338)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18921, 112, 18918])).
% 8.03/5.80 tff(18923,plain,
% 8.03/5.80 (~always3(s337)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18922, 18911])).
% 8.03/5.80 tff(18924,plain,
% 8.03/5.80 (succ(s336, s337) <=> succ(s336, s337)),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18925,axiom,(succ(s336, s337)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound337')).
% 8.03/5.80 tff(18926,plain,
% 8.03/5.80 (succ(s336, s337)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18925, 18924])).
% 8.03/5.80 tff(18927,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18928,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s336, s337)) | trans(s336, s337))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18929,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s336, s337)) | trans(s336, s337)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18928, 18927])).
% 8.03/5.80 tff(18930,plain,
% 8.03/5.80 (trans(s336, s337)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18929, 18926, 39])).
% 8.03/5.80 tff(18931,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18932,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s336, s337)) | (~always3(s336)) | always3(s337))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18933,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s336, s337)) | (~always3(s336)) | always3(s337)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18932, 18931])).
% 8.03/5.80 tff(18934,plain,
% 8.03/5.80 ((~always3(s336)) | always3(s337)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18933, 112, 18930])).
% 8.03/5.80 tff(18935,plain,
% 8.03/5.80 (~always3(s336)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18934, 18923])).
% 8.03/5.80 tff(18936,plain,
% 8.03/5.80 (succ(s335, s336) <=> succ(s335, s336)),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18937,axiom,(succ(s335, s336)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound336')).
% 8.03/5.80 tff(18938,plain,
% 8.03/5.80 (succ(s335, s336)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18937, 18936])).
% 8.03/5.80 tff(18939,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18940,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s335, s336)) | trans(s335, s336))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18941,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s335, s336)) | trans(s335, s336)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18940, 18939])).
% 8.03/5.80 tff(18942,plain,
% 8.03/5.80 (trans(s335, s336)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18941, 18938, 39])).
% 8.03/5.80 tff(18943,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18944,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s335, s336)) | (~always3(s335)) | always3(s336))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18945,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s335, s336)) | (~always3(s335)) | always3(s336)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18944, 18943])).
% 8.03/5.80 tff(18946,plain,
% 8.03/5.80 ((~always3(s335)) | always3(s336)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18945, 112, 18942])).
% 8.03/5.80 tff(18947,plain,
% 8.03/5.80 (~always3(s335)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18946, 18935])).
% 8.03/5.80 tff(18948,plain,
% 8.03/5.80 (succ(s334, s335) <=> succ(s334, s335)),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18949,axiom,(succ(s334, s335)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound335')).
% 8.03/5.80 tff(18950,plain,
% 8.03/5.80 (succ(s334, s335)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18949, 18948])).
% 8.03/5.80 tff(18951,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18952,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s334, s335)) | trans(s334, s335))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18953,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s334, s335)) | trans(s334, s335)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18952, 18951])).
% 8.03/5.80 tff(18954,plain,
% 8.03/5.80 (trans(s334, s335)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18953, 18950, 39])).
% 8.03/5.80 tff(18955,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18956,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s334, s335)) | (~always3(s334)) | always3(s335))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18957,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s334, s335)) | (~always3(s334)) | always3(s335)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18956, 18955])).
% 8.03/5.80 tff(18958,plain,
% 8.03/5.80 ((~always3(s334)) | always3(s335)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18957, 112, 18954])).
% 8.03/5.80 tff(18959,plain,
% 8.03/5.80 (~always3(s334)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18958, 18947])).
% 8.03/5.80 tff(18960,plain,
% 8.03/5.80 (succ(s333, s334) <=> succ(s333, s334)),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18961,axiom,(succ(s333, s334)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound334')).
% 8.03/5.80 tff(18962,plain,
% 8.03/5.80 (succ(s333, s334)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18961, 18960])).
% 8.03/5.80 tff(18963,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18964,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s333, s334)) | trans(s333, s334))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18965,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s333, s334)) | trans(s333, s334)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18964, 18963])).
% 8.03/5.80 tff(18966,plain,
% 8.03/5.80 (trans(s333, s334)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18965, 18962, 39])).
% 8.03/5.80 tff(18967,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18968,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s333, s334)) | (~always3(s333)) | always3(s334))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18969,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s333, s334)) | (~always3(s333)) | always3(s334)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18968, 18967])).
% 8.03/5.80 tff(18970,plain,
% 8.03/5.80 ((~always3(s333)) | always3(s334)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18969, 112, 18966])).
% 8.03/5.80 tff(18971,plain,
% 8.03/5.80 (~always3(s333)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18970, 18959])).
% 8.03/5.80 tff(18972,plain,
% 8.03/5.80 (succ(s332, s333) <=> succ(s332, s333)),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18973,axiom,(succ(s332, s333)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound333')).
% 8.03/5.80 tff(18974,plain,
% 8.03/5.80 (succ(s332, s333)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18973, 18972])).
% 8.03/5.80 tff(18975,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18976,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s332, s333)) | trans(s332, s333))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18977,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s332, s333)) | trans(s332, s333)),
% 8.03/5.80 inference(modus_ponens,[status(thm)],[18976, 18975])).
% 8.03/5.80 tff(18978,plain,
% 8.03/5.80 (trans(s332, s333)),
% 8.03/5.80 inference(unit_resolution,[status(thm)],[18977, 18974, 39])).
% 8.03/5.80 tff(18979,plain,
% 8.03/5.80 (((~![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))),
% 8.03/5.80 inference(rewrite,[status(thm)],[])).
% 8.03/5.80 tff(18980,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s332, s333)) | (~always3(s332)) | always3(s333))),
% 8.03/5.80 inference(quant_inst,[status(thm)],[])).
% 8.03/5.80 tff(18981,plain,
% 8.03/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s332, s333)) | (~always3(s332)) | always3(s333)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[18980, 18979])).
% 8.03/5.81 tff(18982,plain,
% 8.03/5.81 ((~always3(s332)) | always3(s333)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[18981, 112, 18978])).
% 8.03/5.81 tff(18983,plain,
% 8.03/5.81 (~always3(s332)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[18982, 18971])).
% 8.03/5.81 tff(18984,plain,
% 8.03/5.81 (succ(s331, s332) <=> succ(s331, s332)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(18985,axiom,(succ(s331, s332)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound332')).
% 8.03/5.81 tff(18986,plain,
% 8.03/5.81 (succ(s331, s332)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[18985, 18984])).
% 8.03/5.81 tff(18987,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(18988,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s331, s332)) | trans(s331, s332))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(18989,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s331, s332)) | trans(s331, s332)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[18988, 18987])).
% 8.03/5.81 tff(18990,plain,
% 8.03/5.81 (trans(s331, s332)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[18989, 18986, 39])).
% 8.03/5.81 tff(18991,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(18992,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s331, s332)) | (~always3(s331)) | always3(s332))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(18993,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s331, s332)) | (~always3(s331)) | always3(s332)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[18992, 18991])).
% 8.03/5.81 tff(18994,plain,
% 8.03/5.81 ((~always3(s331)) | always3(s332)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[18993, 112, 18990])).
% 8.03/5.81 tff(18995,plain,
% 8.03/5.81 (~always3(s331)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[18994, 18983])).
% 8.03/5.81 tff(18996,plain,
% 8.03/5.81 (succ(s330, s331) <=> succ(s330, s331)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(18997,axiom,(succ(s330, s331)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound331')).
% 8.03/5.81 tff(18998,plain,
% 8.03/5.81 (succ(s330, s331)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[18997, 18996])).
% 8.03/5.81 tff(18999,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19000,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s330, s331)) | trans(s330, s331))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19001,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s330, s331)) | trans(s330, s331)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19000, 18999])).
% 8.03/5.81 tff(19002,plain,
% 8.03/5.81 (trans(s330, s331)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19001, 18998, 39])).
% 8.03/5.81 tff(19003,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19004,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s330, s331)) | (~always3(s330)) | always3(s331))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19005,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s330, s331)) | (~always3(s330)) | always3(s331)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19004, 19003])).
% 8.03/5.81 tff(19006,plain,
% 8.03/5.81 ((~always3(s330)) | always3(s331)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19005, 112, 19002])).
% 8.03/5.81 tff(19007,plain,
% 8.03/5.81 (~always3(s330)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19006, 18995])).
% 8.03/5.81 tff(19008,plain,
% 8.03/5.81 (succ(s329, s330) <=> succ(s329, s330)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19009,axiom,(succ(s329, s330)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound330')).
% 8.03/5.81 tff(19010,plain,
% 8.03/5.81 (succ(s329, s330)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19009, 19008])).
% 8.03/5.81 tff(19011,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19012,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s329, s330)) | trans(s329, s330))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19013,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s329, s330)) | trans(s329, s330)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19012, 19011])).
% 8.03/5.81 tff(19014,plain,
% 8.03/5.81 (trans(s329, s330)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19013, 19010, 39])).
% 8.03/5.81 tff(19015,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19016,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s329, s330)) | (~always3(s329)) | always3(s330))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19017,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s329, s330)) | (~always3(s329)) | always3(s330)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 8.03/5.81 tff(19018,plain,
% 8.03/5.81 ((~always3(s329)) | always3(s330)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19017, 112, 19014])).
% 8.03/5.81 tff(19019,plain,
% 8.03/5.81 (~always3(s329)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19018, 19007])).
% 8.03/5.81 tff(19020,plain,
% 8.03/5.81 (succ(s328, s329) <=> succ(s328, s329)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19021,axiom,(succ(s328, s329)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound329')).
% 8.03/5.81 tff(19022,plain,
% 8.03/5.81 (succ(s328, s329)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19021, 19020])).
% 8.03/5.81 tff(19023,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19024,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s328, s329)) | trans(s328, s329))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19025,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s328, s329)) | trans(s328, s329)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19024, 19023])).
% 8.03/5.81 tff(19026,plain,
% 8.03/5.81 (trans(s328, s329)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19025, 19022, 39])).
% 8.03/5.81 tff(19027,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19028,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s328, s329)) | (~always3(s328)) | always3(s329))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19029,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s328, s329)) | (~always3(s328)) | always3(s329)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19028, 19027])).
% 8.03/5.81 tff(19030,plain,
% 8.03/5.81 ((~always3(s328)) | always3(s329)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19029, 112, 19026])).
% 8.03/5.81 tff(19031,plain,
% 8.03/5.81 (~always3(s328)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19030, 19019])).
% 8.03/5.81 tff(19032,plain,
% 8.03/5.81 (succ(s327, s328) <=> succ(s327, s328)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19033,axiom,(succ(s327, s328)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound328')).
% 8.03/5.81 tff(19034,plain,
% 8.03/5.81 (succ(s327, s328)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19033, 19032])).
% 8.03/5.81 tff(19035,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19036,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s327, s328)) | trans(s327, s328))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19037,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s327, s328)) | trans(s327, s328)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19036, 19035])).
% 8.03/5.81 tff(19038,plain,
% 8.03/5.81 (trans(s327, s328)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19037, 19034, 39])).
% 8.03/5.81 tff(19039,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19040,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s327, s328)) | (~always3(s327)) | always3(s328))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19041,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s327, s328)) | (~always3(s327)) | always3(s328)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19040, 19039])).
% 8.03/5.81 tff(19042,plain,
% 8.03/5.81 ((~always3(s327)) | always3(s328)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19041, 112, 19038])).
% 8.03/5.81 tff(19043,plain,
% 8.03/5.81 (~always3(s327)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19042, 19031])).
% 8.03/5.81 tff(19044,plain,
% 8.03/5.81 (succ(s326, s327) <=> succ(s326, s327)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19045,axiom,(succ(s326, s327)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound327')).
% 8.03/5.81 tff(19046,plain,
% 8.03/5.81 (succ(s326, s327)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19045, 19044])).
% 8.03/5.81 tff(19047,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19048,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s326, s327)) | trans(s326, s327))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19049,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s326, s327)) | trans(s326, s327)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19048, 19047])).
% 8.03/5.81 tff(19050,plain,
% 8.03/5.81 (trans(s326, s327)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19049, 19046, 39])).
% 8.03/5.81 tff(19051,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19052,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s326, s327)) | (~always3(s326)) | always3(s327))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19053,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s326, s327)) | (~always3(s326)) | always3(s327)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19052, 19051])).
% 8.03/5.81 tff(19054,plain,
% 8.03/5.81 ((~always3(s326)) | always3(s327)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19053, 112, 19050])).
% 8.03/5.81 tff(19055,plain,
% 8.03/5.81 (~always3(s326)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19054, 19043])).
% 8.03/5.81 tff(19056,plain,
% 8.03/5.81 (succ(s325, s326) <=> succ(s325, s326)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19057,axiom,(succ(s325, s326)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound326')).
% 8.03/5.81 tff(19058,plain,
% 8.03/5.81 (succ(s325, s326)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19057, 19056])).
% 8.03/5.81 tff(19059,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19060,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s325, s326)) | trans(s325, s326))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19061,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s325, s326)) | trans(s325, s326)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19060, 19059])).
% 8.03/5.81 tff(19062,plain,
% 8.03/5.81 (trans(s325, s326)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19061, 19058, 39])).
% 8.03/5.81 tff(19063,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19064,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s325, s326)) | (~always3(s325)) | always3(s326))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19065,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s325, s326)) | (~always3(s325)) | always3(s326)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19064, 19063])).
% 8.03/5.81 tff(19066,plain,
% 8.03/5.81 ((~always3(s325)) | always3(s326)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19065, 112, 19062])).
% 8.03/5.81 tff(19067,plain,
% 8.03/5.81 (~always3(s325)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19066, 19055])).
% 8.03/5.81 tff(19068,plain,
% 8.03/5.81 (succ(s324, s325) <=> succ(s324, s325)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19069,axiom,(succ(s324, s325)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound325')).
% 8.03/5.81 tff(19070,plain,
% 8.03/5.81 (succ(s324, s325)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19069, 19068])).
% 8.03/5.81 tff(19071,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19072,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s324, s325)) | trans(s324, s325))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19073,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s324, s325)) | trans(s324, s325)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19072, 19071])).
% 8.03/5.81 tff(19074,plain,
% 8.03/5.81 (trans(s324, s325)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19073, 19070, 39])).
% 8.03/5.81 tff(19075,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19076,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s324, s325)) | (~always3(s324)) | always3(s325))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19077,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s324, s325)) | (~always3(s324)) | always3(s325)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19076, 19075])).
% 8.03/5.81 tff(19078,plain,
% 8.03/5.81 ((~always3(s324)) | always3(s325)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19077, 112, 19074])).
% 8.03/5.81 tff(19079,plain,
% 8.03/5.81 (~always3(s324)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19078, 19067])).
% 8.03/5.81 tff(19080,plain,
% 8.03/5.81 (succ(s323, s324) <=> succ(s323, s324)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19081,axiom,(succ(s323, s324)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound324')).
% 8.03/5.81 tff(19082,plain,
% 8.03/5.81 (succ(s323, s324)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19081, 19080])).
% 8.03/5.81 tff(19083,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19084,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s323, s324)) | trans(s323, s324))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19085,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s323, s324)) | trans(s323, s324)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19084, 19083])).
% 8.03/5.81 tff(19086,plain,
% 8.03/5.81 (trans(s323, s324)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19085, 19082, 39])).
% 8.03/5.81 tff(19087,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19088,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s323, s324)) | (~always3(s323)) | always3(s324))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19089,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s323, s324)) | (~always3(s323)) | always3(s324)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19088, 19087])).
% 8.03/5.81 tff(19090,plain,
% 8.03/5.81 ((~always3(s323)) | always3(s324)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19089, 112, 19086])).
% 8.03/5.81 tff(19091,plain,
% 8.03/5.81 (~always3(s323)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19090, 19079])).
% 8.03/5.81 tff(19092,plain,
% 8.03/5.81 (succ(s322, s323) <=> succ(s322, s323)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19093,axiom,(succ(s322, s323)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound323')).
% 8.03/5.81 tff(19094,plain,
% 8.03/5.81 (succ(s322, s323)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19093, 19092])).
% 8.03/5.81 tff(19095,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19096,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s322, s323)) | trans(s322, s323))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19097,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s322, s323)) | trans(s322, s323)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19096, 19095])).
% 8.03/5.81 tff(19098,plain,
% 8.03/5.81 (trans(s322, s323)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19097, 19094, 39])).
% 8.03/5.81 tff(19099,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19100,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s322, s323)) | (~always3(s322)) | always3(s323))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19101,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s322, s323)) | (~always3(s322)) | always3(s323)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19100, 19099])).
% 8.03/5.81 tff(19102,plain,
% 8.03/5.81 ((~always3(s322)) | always3(s323)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19101, 112, 19098])).
% 8.03/5.81 tff(19103,plain,
% 8.03/5.81 (~always3(s322)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19102, 19091])).
% 8.03/5.81 tff(19104,plain,
% 8.03/5.81 (succ(s321, s322) <=> succ(s321, s322)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19105,axiom,(succ(s321, s322)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound322')).
% 8.03/5.81 tff(19106,plain,
% 8.03/5.81 (succ(s321, s322)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19105, 19104])).
% 8.03/5.81 tff(19107,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19108,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s321, s322)) | trans(s321, s322))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19109,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s321, s322)) | trans(s321, s322)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19108, 19107])).
% 8.03/5.81 tff(19110,plain,
% 8.03/5.81 (trans(s321, s322)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19109, 19106, 39])).
% 8.03/5.81 tff(19111,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19112,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s321, s322)) | (~always3(s321)) | always3(s322))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19113,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s321, s322)) | (~always3(s321)) | always3(s322)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19112, 19111])).
% 8.03/5.81 tff(19114,plain,
% 8.03/5.81 ((~always3(s321)) | always3(s322)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19113, 112, 19110])).
% 8.03/5.81 tff(19115,plain,
% 8.03/5.81 (~always3(s321)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19114, 19103])).
% 8.03/5.81 tff(19116,plain,
% 8.03/5.81 (succ(s320, s321) <=> succ(s320, s321)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19117,axiom,(succ(s320, s321)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound321')).
% 8.03/5.81 tff(19118,plain,
% 8.03/5.81 (succ(s320, s321)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19117, 19116])).
% 8.03/5.81 tff(19119,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19120,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s320, s321)) | trans(s320, s321))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19121,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s320, s321)) | trans(s320, s321)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19120, 19119])).
% 8.03/5.81 tff(19122,plain,
% 8.03/5.81 (trans(s320, s321)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19121, 19118, 39])).
% 8.03/5.81 tff(19123,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19124,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s320, s321)) | (~always3(s320)) | always3(s321))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19125,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s320, s321)) | (~always3(s320)) | always3(s321)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19124, 19123])).
% 8.03/5.81 tff(19126,plain,
% 8.03/5.81 ((~always3(s320)) | always3(s321)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19125, 112, 19122])).
% 8.03/5.81 tff(19127,plain,
% 8.03/5.81 (~always3(s320)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19126, 19115])).
% 8.03/5.81 tff(19128,plain,
% 8.03/5.81 (succ(s319, s320) <=> succ(s319, s320)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19129,axiom,(succ(s319, s320)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound320')).
% 8.03/5.81 tff(19130,plain,
% 8.03/5.81 (succ(s319, s320)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19129, 19128])).
% 8.03/5.81 tff(19131,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19132,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s319, s320)) | trans(s319, s320))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19133,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s319, s320)) | trans(s319, s320)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19132, 19131])).
% 8.03/5.81 tff(19134,plain,
% 8.03/5.81 (trans(s319, s320)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19133, 19130, 39])).
% 8.03/5.81 tff(19135,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19136,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s319, s320)) | (~always3(s319)) | always3(s320))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19137,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s319, s320)) | (~always3(s319)) | always3(s320)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19136, 19135])).
% 8.03/5.81 tff(19138,plain,
% 8.03/5.81 ((~always3(s319)) | always3(s320)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19137, 112, 19134])).
% 8.03/5.81 tff(19139,plain,
% 8.03/5.81 (~always3(s319)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19138, 19127])).
% 8.03/5.81 tff(19140,plain,
% 8.03/5.81 (succ(s318, s319) <=> succ(s318, s319)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19141,axiom,(succ(s318, s319)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound319')).
% 8.03/5.81 tff(19142,plain,
% 8.03/5.81 (succ(s318, s319)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19141, 19140])).
% 8.03/5.81 tff(19143,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19144,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s318, s319)) | trans(s318, s319))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19145,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s318, s319)) | trans(s318, s319)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19144, 19143])).
% 8.03/5.81 tff(19146,plain,
% 8.03/5.81 (trans(s318, s319)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19145, 19142, 39])).
% 8.03/5.81 tff(19147,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19148,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s318, s319)) | (~always3(s318)) | always3(s319))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19149,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s318, s319)) | (~always3(s318)) | always3(s319)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19148, 19147])).
% 8.03/5.81 tff(19150,plain,
% 8.03/5.81 ((~always3(s318)) | always3(s319)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19149, 112, 19146])).
% 8.03/5.81 tff(19151,plain,
% 8.03/5.81 (~always3(s318)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19150, 19139])).
% 8.03/5.81 tff(19152,plain,
% 8.03/5.81 (succ(s317, s318) <=> succ(s317, s318)),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19153,axiom,(succ(s317, s318)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound318')).
% 8.03/5.81 tff(19154,plain,
% 8.03/5.81 (succ(s317, s318)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19153, 19152])).
% 8.03/5.81 tff(19155,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19156,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s317, s318)) | trans(s317, s318))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19157,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s317, s318)) | trans(s317, s318)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19156, 19155])).
% 8.03/5.81 tff(19158,plain,
% 8.03/5.81 (trans(s317, s318)),
% 8.03/5.81 inference(unit_resolution,[status(thm)],[19157, 19154, 39])).
% 8.03/5.81 tff(19159,plain,
% 8.03/5.81 (((~![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))),
% 8.03/5.81 inference(rewrite,[status(thm)],[])).
% 8.03/5.81 tff(19160,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s317, s318)) | (~always3(s317)) | always3(s318))),
% 8.03/5.81 inference(quant_inst,[status(thm)],[])).
% 8.03/5.81 tff(19161,plain,
% 8.03/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s317, s318)) | (~always3(s317)) | always3(s318)),
% 8.03/5.81 inference(modus_ponens,[status(thm)],[19160, 19159])).
% 8.03/5.82 tff(19162,plain,
% 8.03/5.82 ((~always3(s317)) | always3(s318)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19161, 112, 19158])).
% 8.03/5.82 tff(19163,plain,
% 8.03/5.82 (~always3(s317)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19162, 19151])).
% 8.03/5.82 tff(19164,plain,
% 8.03/5.82 (succ(s316, s317) <=> succ(s316, s317)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19165,axiom,(succ(s316, s317)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound317')).
% 8.03/5.82 tff(19166,plain,
% 8.03/5.82 (succ(s316, s317)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19165, 19164])).
% 8.03/5.82 tff(19167,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19168,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s316, s317)) | trans(s316, s317))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19169,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s316, s317)) | trans(s316, s317)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19168, 19167])).
% 8.03/5.82 tff(19170,plain,
% 8.03/5.82 (trans(s316, s317)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19169, 19166, 39])).
% 8.03/5.82 tff(19171,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19172,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s316, s317)) | (~always3(s316)) | always3(s317))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19173,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s316, s317)) | (~always3(s316)) | always3(s317)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19172, 19171])).
% 8.03/5.82 tff(19174,plain,
% 8.03/5.82 ((~always3(s316)) | always3(s317)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19173, 112, 19170])).
% 8.03/5.82 tff(19175,plain,
% 8.03/5.82 (~always3(s316)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19174, 19163])).
% 8.03/5.82 tff(19176,plain,
% 8.03/5.82 (succ(s315, s316) <=> succ(s315, s316)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19177,axiom,(succ(s315, s316)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound316')).
% 8.03/5.82 tff(19178,plain,
% 8.03/5.82 (succ(s315, s316)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19177, 19176])).
% 8.03/5.82 tff(19179,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19180,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s315, s316)) | trans(s315, s316))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19181,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s315, s316)) | trans(s315, s316)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19180, 19179])).
% 8.03/5.82 tff(19182,plain,
% 8.03/5.82 (trans(s315, s316)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19181, 19178, 39])).
% 8.03/5.82 tff(19183,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19184,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s315, s316)) | (~always3(s315)) | always3(s316))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19185,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s315, s316)) | (~always3(s315)) | always3(s316)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19184, 19183])).
% 8.03/5.82 tff(19186,plain,
% 8.03/5.82 ((~always3(s315)) | always3(s316)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19185, 112, 19182])).
% 8.03/5.82 tff(19187,plain,
% 8.03/5.82 (~always3(s315)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19186, 19175])).
% 8.03/5.82 tff(19188,plain,
% 8.03/5.82 (succ(s314, s315) <=> succ(s314, s315)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19189,axiom,(succ(s314, s315)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound315')).
% 8.03/5.82 tff(19190,plain,
% 8.03/5.82 (succ(s314, s315)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19189, 19188])).
% 8.03/5.82 tff(19191,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19192,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s314, s315)) | trans(s314, s315))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19193,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s314, s315)) | trans(s314, s315)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19192, 19191])).
% 8.03/5.82 tff(19194,plain,
% 8.03/5.82 (trans(s314, s315)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19193, 19190, 39])).
% 8.03/5.82 tff(19195,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19196,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s314, s315)) | (~always3(s314)) | always3(s315))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19197,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s314, s315)) | (~always3(s314)) | always3(s315)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19196, 19195])).
% 8.03/5.82 tff(19198,plain,
% 8.03/5.82 ((~always3(s314)) | always3(s315)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19197, 112, 19194])).
% 8.03/5.82 tff(19199,plain,
% 8.03/5.82 (~always3(s314)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19198, 19187])).
% 8.03/5.82 tff(19200,plain,
% 8.03/5.82 (succ(s313, s314) <=> succ(s313, s314)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19201,axiom,(succ(s313, s314)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound314')).
% 8.03/5.82 tff(19202,plain,
% 8.03/5.82 (succ(s313, s314)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19201, 19200])).
% 8.03/5.82 tff(19203,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19204,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s313, s314)) | trans(s313, s314))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19205,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s313, s314)) | trans(s313, s314)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19204, 19203])).
% 8.03/5.82 tff(19206,plain,
% 8.03/5.82 (trans(s313, s314)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19205, 19202, 39])).
% 8.03/5.82 tff(19207,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19208,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s313, s314)) | (~always3(s313)) | always3(s314))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19209,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s313, s314)) | (~always3(s313)) | always3(s314)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19208, 19207])).
% 8.03/5.82 tff(19210,plain,
% 8.03/5.82 ((~always3(s313)) | always3(s314)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19209, 112, 19206])).
% 8.03/5.82 tff(19211,plain,
% 8.03/5.82 (~always3(s313)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19210, 19199])).
% 8.03/5.82 tff(19212,plain,
% 8.03/5.82 (succ(s312, s313) <=> succ(s312, s313)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19213,axiom,(succ(s312, s313)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound313')).
% 8.03/5.82 tff(19214,plain,
% 8.03/5.82 (succ(s312, s313)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19213, 19212])).
% 8.03/5.82 tff(19215,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19216,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s312, s313)) | trans(s312, s313))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19217,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s312, s313)) | trans(s312, s313)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19216, 19215])).
% 8.03/5.82 tff(19218,plain,
% 8.03/5.82 (trans(s312, s313)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19217, 19214, 39])).
% 8.03/5.82 tff(19219,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19220,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s312, s313)) | (~always3(s312)) | always3(s313))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19221,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s312, s313)) | (~always3(s312)) | always3(s313)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19220, 19219])).
% 8.03/5.82 tff(19222,plain,
% 8.03/5.82 ((~always3(s312)) | always3(s313)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19221, 112, 19218])).
% 8.03/5.82 tff(19223,plain,
% 8.03/5.82 (~always3(s312)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19222, 19211])).
% 8.03/5.82 tff(19224,plain,
% 8.03/5.82 (succ(s311, s312) <=> succ(s311, s312)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19225,axiom,(succ(s311, s312)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound312')).
% 8.03/5.82 tff(19226,plain,
% 8.03/5.82 (succ(s311, s312)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19225, 19224])).
% 8.03/5.82 tff(19227,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19228,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s311, s312)) | trans(s311, s312))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19229,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s311, s312)) | trans(s311, s312)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19228, 19227])).
% 8.03/5.82 tff(19230,plain,
% 8.03/5.82 (trans(s311, s312)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19229, 19226, 39])).
% 8.03/5.82 tff(19231,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19232,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s311, s312)) | (~always3(s311)) | always3(s312))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19233,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s311, s312)) | (~always3(s311)) | always3(s312)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19232, 19231])).
% 8.03/5.82 tff(19234,plain,
% 8.03/5.82 ((~always3(s311)) | always3(s312)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19233, 112, 19230])).
% 8.03/5.82 tff(19235,plain,
% 8.03/5.82 (~always3(s311)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19234, 19223])).
% 8.03/5.82 tff(19236,plain,
% 8.03/5.82 (succ(s310, s311) <=> succ(s310, s311)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19237,axiom,(succ(s310, s311)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound311')).
% 8.03/5.82 tff(19238,plain,
% 8.03/5.82 (succ(s310, s311)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19237, 19236])).
% 8.03/5.82 tff(19239,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19240,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s310, s311)) | trans(s310, s311))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19241,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s310, s311)) | trans(s310, s311)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19240, 19239])).
% 8.03/5.82 tff(19242,plain,
% 8.03/5.82 (trans(s310, s311)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19241, 19238, 39])).
% 8.03/5.82 tff(19243,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19244,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s310, s311)) | (~always3(s310)) | always3(s311))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19245,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s310, s311)) | (~always3(s310)) | always3(s311)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19244, 19243])).
% 8.03/5.82 tff(19246,plain,
% 8.03/5.82 ((~always3(s310)) | always3(s311)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19245, 112, 19242])).
% 8.03/5.82 tff(19247,plain,
% 8.03/5.82 (~always3(s310)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19246, 19235])).
% 8.03/5.82 tff(19248,plain,
% 8.03/5.82 (succ(s309, s310) <=> succ(s309, s310)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19249,axiom,(succ(s309, s310)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound310')).
% 8.03/5.82 tff(19250,plain,
% 8.03/5.82 (succ(s309, s310)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19249, 19248])).
% 8.03/5.82 tff(19251,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19252,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s309, s310)) | trans(s309, s310))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19253,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s309, s310)) | trans(s309, s310)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19252, 19251])).
% 8.03/5.82 tff(19254,plain,
% 8.03/5.82 (trans(s309, s310)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19253, 19250, 39])).
% 8.03/5.82 tff(19255,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19256,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s309, s310)) | (~always3(s309)) | always3(s310))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19257,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s309, s310)) | (~always3(s309)) | always3(s310)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19256, 19255])).
% 8.03/5.82 tff(19258,plain,
% 8.03/5.82 ((~always3(s309)) | always3(s310)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19257, 112, 19254])).
% 8.03/5.82 tff(19259,plain,
% 8.03/5.82 (~always3(s309)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19258, 19247])).
% 8.03/5.82 tff(19260,plain,
% 8.03/5.82 (succ(s308, s309) <=> succ(s308, s309)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19261,axiom,(succ(s308, s309)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound309')).
% 8.03/5.82 tff(19262,plain,
% 8.03/5.82 (succ(s308, s309)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19261, 19260])).
% 8.03/5.82 tff(19263,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19264,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s308, s309)) | trans(s308, s309))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19265,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s308, s309)) | trans(s308, s309)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19264, 19263])).
% 8.03/5.82 tff(19266,plain,
% 8.03/5.82 (trans(s308, s309)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19265, 19262, 39])).
% 8.03/5.82 tff(19267,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19268,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s308, s309)) | (~always3(s308)) | always3(s309))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19269,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s308, s309)) | (~always3(s308)) | always3(s309)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19268, 19267])).
% 8.03/5.82 tff(19270,plain,
% 8.03/5.82 ((~always3(s308)) | always3(s309)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19269, 112, 19266])).
% 8.03/5.82 tff(19271,plain,
% 8.03/5.82 (~always3(s308)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19270, 19259])).
% 8.03/5.82 tff(19272,plain,
% 8.03/5.82 (succ(s307, s308) <=> succ(s307, s308)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19273,axiom,(succ(s307, s308)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound308')).
% 8.03/5.82 tff(19274,plain,
% 8.03/5.82 (succ(s307, s308)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19273, 19272])).
% 8.03/5.82 tff(19275,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19276,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s307, s308)) | trans(s307, s308))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19277,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s307, s308)) | trans(s307, s308)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19276, 19275])).
% 8.03/5.82 tff(19278,plain,
% 8.03/5.82 (trans(s307, s308)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19277, 19274, 39])).
% 8.03/5.82 tff(19279,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19280,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s307, s308)) | (~always3(s307)) | always3(s308))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19281,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s307, s308)) | (~always3(s307)) | always3(s308)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19280, 19279])).
% 8.03/5.82 tff(19282,plain,
% 8.03/5.82 ((~always3(s307)) | always3(s308)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19281, 112, 19278])).
% 8.03/5.82 tff(19283,plain,
% 8.03/5.82 (~always3(s307)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19282, 19271])).
% 8.03/5.82 tff(19284,plain,
% 8.03/5.82 (succ(s306, s307) <=> succ(s306, s307)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19285,axiom,(succ(s306, s307)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound307')).
% 8.03/5.82 tff(19286,plain,
% 8.03/5.82 (succ(s306, s307)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19285, 19284])).
% 8.03/5.82 tff(19287,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19288,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s306, s307)) | trans(s306, s307))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19289,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s306, s307)) | trans(s306, s307)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19288, 19287])).
% 8.03/5.82 tff(19290,plain,
% 8.03/5.82 (trans(s306, s307)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19289, 19286, 39])).
% 8.03/5.82 tff(19291,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19292,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s306, s307)) | (~always3(s306)) | always3(s307))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19293,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s306, s307)) | (~always3(s306)) | always3(s307)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19292, 19291])).
% 8.03/5.82 tff(19294,plain,
% 8.03/5.82 ((~always3(s306)) | always3(s307)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19293, 112, 19290])).
% 8.03/5.82 tff(19295,plain,
% 8.03/5.82 (~always3(s306)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19294, 19283])).
% 8.03/5.82 tff(19296,plain,
% 8.03/5.82 (succ(s305, s306) <=> succ(s305, s306)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19297,axiom,(succ(s305, s306)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound306')).
% 8.03/5.82 tff(19298,plain,
% 8.03/5.82 (succ(s305, s306)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19297, 19296])).
% 8.03/5.82 tff(19299,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19300,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s305, s306)) | trans(s305, s306))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19301,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s305, s306)) | trans(s305, s306)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19300, 19299])).
% 8.03/5.82 tff(19302,plain,
% 8.03/5.82 (trans(s305, s306)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19301, 19298, 39])).
% 8.03/5.82 tff(19303,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19304,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s305, s306)) | (~always3(s305)) | always3(s306))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19305,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s305, s306)) | (~always3(s305)) | always3(s306)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19304, 19303])).
% 8.03/5.82 tff(19306,plain,
% 8.03/5.82 ((~always3(s305)) | always3(s306)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19305, 112, 19302])).
% 8.03/5.82 tff(19307,plain,
% 8.03/5.82 (~always3(s305)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19306, 19295])).
% 8.03/5.82 tff(19308,plain,
% 8.03/5.82 (succ(s304, s305) <=> succ(s304, s305)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19309,axiom,(succ(s304, s305)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound305')).
% 8.03/5.82 tff(19310,plain,
% 8.03/5.82 (succ(s304, s305)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19309, 19308])).
% 8.03/5.82 tff(19311,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19312,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s304, s305)) | trans(s304, s305))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19313,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s304, s305)) | trans(s304, s305)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19312, 19311])).
% 8.03/5.82 tff(19314,plain,
% 8.03/5.82 (trans(s304, s305)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19313, 19310, 39])).
% 8.03/5.82 tff(19315,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19316,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s304, s305)) | (~always3(s304)) | always3(s305))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19317,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s304, s305)) | (~always3(s304)) | always3(s305)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19316, 19315])).
% 8.03/5.82 tff(19318,plain,
% 8.03/5.82 ((~always3(s304)) | always3(s305)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19317, 112, 19314])).
% 8.03/5.82 tff(19319,plain,
% 8.03/5.82 (~always3(s304)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19318, 19307])).
% 8.03/5.82 tff(19320,plain,
% 8.03/5.82 (succ(s303, s304) <=> succ(s303, s304)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19321,axiom,(succ(s303, s304)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound304')).
% 8.03/5.82 tff(19322,plain,
% 8.03/5.82 (succ(s303, s304)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19321, 19320])).
% 8.03/5.82 tff(19323,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19324,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s303, s304)) | trans(s303, s304))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19325,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s303, s304)) | trans(s303, s304)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19324, 19323])).
% 8.03/5.82 tff(19326,plain,
% 8.03/5.82 (trans(s303, s304)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19325, 19322, 39])).
% 8.03/5.82 tff(19327,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19328,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s303, s304)) | (~always3(s303)) | always3(s304))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19329,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s303, s304)) | (~always3(s303)) | always3(s304)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19328, 19327])).
% 8.03/5.82 tff(19330,plain,
% 8.03/5.82 ((~always3(s303)) | always3(s304)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19329, 112, 19326])).
% 8.03/5.82 tff(19331,plain,
% 8.03/5.82 (~always3(s303)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19330, 19319])).
% 8.03/5.82 tff(19332,plain,
% 8.03/5.82 (succ(s302, s303) <=> succ(s302, s303)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19333,axiom,(succ(s302, s303)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound303')).
% 8.03/5.82 tff(19334,plain,
% 8.03/5.82 (succ(s302, s303)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19333, 19332])).
% 8.03/5.82 tff(19335,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19336,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s302, s303)) | trans(s302, s303))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19337,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s302, s303)) | trans(s302, s303)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19336, 19335])).
% 8.03/5.82 tff(19338,plain,
% 8.03/5.82 (trans(s302, s303)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19337, 19334, 39])).
% 8.03/5.82 tff(19339,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19340,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s302, s303)) | (~always3(s302)) | always3(s303))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19341,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s302, s303)) | (~always3(s302)) | always3(s303)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19340, 19339])).
% 8.03/5.82 tff(19342,plain,
% 8.03/5.82 ((~always3(s302)) | always3(s303)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19341, 112, 19338])).
% 8.03/5.82 tff(19343,plain,
% 8.03/5.82 (~always3(s302)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19342, 19331])).
% 8.03/5.82 tff(19344,plain,
% 8.03/5.82 (succ(s301, s302) <=> succ(s301, s302)),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19345,axiom,(succ(s301, s302)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound302')).
% 8.03/5.82 tff(19346,plain,
% 8.03/5.82 (succ(s301, s302)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19345, 19344])).
% 8.03/5.82 tff(19347,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19348,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s301, s302)) | trans(s301, s302))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19349,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s301, s302)) | trans(s301, s302)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19348, 19347])).
% 8.03/5.82 tff(19350,plain,
% 8.03/5.82 (trans(s301, s302)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19349, 19346, 39])).
% 8.03/5.82 tff(19351,plain,
% 8.03/5.82 (((~![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))),
% 8.03/5.82 inference(rewrite,[status(thm)],[])).
% 8.03/5.82 tff(19352,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s301, s302)) | (~always3(s301)) | always3(s302))),
% 8.03/5.82 inference(quant_inst,[status(thm)],[])).
% 8.03/5.82 tff(19353,plain,
% 8.03/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s301, s302)) | (~always3(s301)) | always3(s302)),
% 8.03/5.82 inference(modus_ponens,[status(thm)],[19352, 19351])).
% 8.03/5.82 tff(19354,plain,
% 8.03/5.82 ((~always3(s301)) | always3(s302)),
% 8.03/5.82 inference(unit_resolution,[status(thm)],[19353, 112, 19350])).
% 8.03/5.83 tff(19355,plain,
% 8.03/5.83 (~always3(s301)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19354, 19343])).
% 8.03/5.83 tff(19356,plain,
% 8.03/5.83 (succ(s300, s301) <=> succ(s300, s301)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19357,axiom,(succ(s300, s301)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound301')).
% 8.03/5.83 tff(19358,plain,
% 8.03/5.83 (succ(s300, s301)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19357, 19356])).
% 8.03/5.83 tff(19359,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19360,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s300, s301)) | trans(s300, s301))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19361,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s300, s301)) | trans(s300, s301)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19360, 19359])).
% 8.03/5.83 tff(19362,plain,
% 8.03/5.83 (trans(s300, s301)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19361, 19358, 39])).
% 8.03/5.83 tff(19363,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19364,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s300, s301)) | (~always3(s300)) | always3(s301))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19365,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s300, s301)) | (~always3(s300)) | always3(s301)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19364, 19363])).
% 8.03/5.83 tff(19366,plain,
% 8.03/5.83 ((~always3(s300)) | always3(s301)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19365, 112, 19362])).
% 8.03/5.83 tff(19367,plain,
% 8.03/5.83 (~always3(s300)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19366, 19355])).
% 8.03/5.83 tff(19368,plain,
% 8.03/5.83 (succ(s299, s300) <=> succ(s299, s300)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19369,axiom,(succ(s299, s300)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound300')).
% 8.03/5.83 tff(19370,plain,
% 8.03/5.83 (succ(s299, s300)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19369, 19368])).
% 8.03/5.83 tff(19371,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19372,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s299, s300)) | trans(s299, s300))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19373,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s299, s300)) | trans(s299, s300)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19372, 19371])).
% 8.03/5.83 tff(19374,plain,
% 8.03/5.83 (trans(s299, s300)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19373, 19370, 39])).
% 8.03/5.83 tff(19375,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19376,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s299, s300)) | (~always3(s299)) | always3(s300))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19377,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s299, s300)) | (~always3(s299)) | always3(s300)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19376, 19375])).
% 8.03/5.83 tff(19378,plain,
% 8.03/5.83 ((~always3(s299)) | always3(s300)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19377, 112, 19374])).
% 8.03/5.83 tff(19379,plain,
% 8.03/5.83 (~always3(s299)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19378, 19367])).
% 8.03/5.83 tff(19380,plain,
% 8.03/5.83 (succ(s298, s299) <=> succ(s298, s299)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19381,axiom,(succ(s298, s299)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound299')).
% 8.03/5.83 tff(19382,plain,
% 8.03/5.83 (succ(s298, s299)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19381, 19380])).
% 8.03/5.83 tff(19383,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19384,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s298, s299)) | trans(s298, s299))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19385,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s298, s299)) | trans(s298, s299)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19384, 19383])).
% 8.03/5.83 tff(19386,plain,
% 8.03/5.83 (trans(s298, s299)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19385, 19382, 39])).
% 8.03/5.83 tff(19387,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19388,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s298, s299)) | (~always3(s298)) | always3(s299))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19389,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s298, s299)) | (~always3(s298)) | always3(s299)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19388, 19387])).
% 8.03/5.83 tff(19390,plain,
% 8.03/5.83 ((~always3(s298)) | always3(s299)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19389, 112, 19386])).
% 8.03/5.83 tff(19391,plain,
% 8.03/5.83 (~always3(s298)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19390, 19379])).
% 8.03/5.83 tff(19392,plain,
% 8.03/5.83 (succ(s297, s298) <=> succ(s297, s298)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19393,axiom,(succ(s297, s298)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound298')).
% 8.03/5.83 tff(19394,plain,
% 8.03/5.83 (succ(s297, s298)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19393, 19392])).
% 8.03/5.83 tff(19395,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19396,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s297, s298)) | trans(s297, s298))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19397,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s297, s298)) | trans(s297, s298)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19396, 19395])).
% 8.03/5.83 tff(19398,plain,
% 8.03/5.83 (trans(s297, s298)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19397, 19394, 39])).
% 8.03/5.83 tff(19399,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19400,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s297, s298)) | (~always3(s297)) | always3(s298))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19401,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s297, s298)) | (~always3(s297)) | always3(s298)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19400, 19399])).
% 8.03/5.83 tff(19402,plain,
% 8.03/5.83 ((~always3(s297)) | always3(s298)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19401, 112, 19398])).
% 8.03/5.83 tff(19403,plain,
% 8.03/5.83 (~always3(s297)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19402, 19391])).
% 8.03/5.83 tff(19404,plain,
% 8.03/5.83 (succ(s296, s297) <=> succ(s296, s297)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19405,axiom,(succ(s296, s297)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound297')).
% 8.03/5.83 tff(19406,plain,
% 8.03/5.83 (succ(s296, s297)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19405, 19404])).
% 8.03/5.83 tff(19407,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19408,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s296, s297)) | trans(s296, s297))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19409,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s296, s297)) | trans(s296, s297)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19408, 19407])).
% 8.03/5.83 tff(19410,plain,
% 8.03/5.83 (trans(s296, s297)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19409, 19406, 39])).
% 8.03/5.83 tff(19411,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19412,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s296, s297)) | (~always3(s296)) | always3(s297))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19413,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s296, s297)) | (~always3(s296)) | always3(s297)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19412, 19411])).
% 8.03/5.83 tff(19414,plain,
% 8.03/5.83 ((~always3(s296)) | always3(s297)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19413, 112, 19410])).
% 8.03/5.83 tff(19415,plain,
% 8.03/5.83 (~always3(s296)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19414, 19403])).
% 8.03/5.83 tff(19416,plain,
% 8.03/5.83 (succ(s295, s296) <=> succ(s295, s296)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19417,axiom,(succ(s295, s296)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound296')).
% 8.03/5.83 tff(19418,plain,
% 8.03/5.83 (succ(s295, s296)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19417, 19416])).
% 8.03/5.83 tff(19419,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19420,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s295, s296)) | trans(s295, s296))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19421,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s295, s296)) | trans(s295, s296)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19420, 19419])).
% 8.03/5.83 tff(19422,plain,
% 8.03/5.83 (trans(s295, s296)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19421, 19418, 39])).
% 8.03/5.83 tff(19423,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19424,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s295, s296)) | (~always3(s295)) | always3(s296))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19425,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s295, s296)) | (~always3(s295)) | always3(s296)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19424, 19423])).
% 8.03/5.83 tff(19426,plain,
% 8.03/5.83 ((~always3(s295)) | always3(s296)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19425, 112, 19422])).
% 8.03/5.83 tff(19427,plain,
% 8.03/5.83 (~always3(s295)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19426, 19415])).
% 8.03/5.83 tff(19428,plain,
% 8.03/5.83 (succ(s294, s295) <=> succ(s294, s295)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19429,axiom,(succ(s294, s295)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound295')).
% 8.03/5.83 tff(19430,plain,
% 8.03/5.83 (succ(s294, s295)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19429, 19428])).
% 8.03/5.83 tff(19431,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19432,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s294, s295)) | trans(s294, s295))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19433,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s294, s295)) | trans(s294, s295)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19432, 19431])).
% 8.03/5.83 tff(19434,plain,
% 8.03/5.83 (trans(s294, s295)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19433, 19430, 39])).
% 8.03/5.83 tff(19435,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19436,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s294, s295)) | (~always3(s294)) | always3(s295))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19437,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s294, s295)) | (~always3(s294)) | always3(s295)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19436, 19435])).
% 8.03/5.83 tff(19438,plain,
% 8.03/5.83 ((~always3(s294)) | always3(s295)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19437, 112, 19434])).
% 8.03/5.83 tff(19439,plain,
% 8.03/5.83 (~always3(s294)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19438, 19427])).
% 8.03/5.83 tff(19440,plain,
% 8.03/5.83 (succ(s293, s294) <=> succ(s293, s294)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19441,axiom,(succ(s293, s294)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound294')).
% 8.03/5.83 tff(19442,plain,
% 8.03/5.83 (succ(s293, s294)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19441, 19440])).
% 8.03/5.83 tff(19443,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19444,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s293, s294)) | trans(s293, s294))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19445,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s293, s294)) | trans(s293, s294)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19444, 19443])).
% 8.03/5.83 tff(19446,plain,
% 8.03/5.83 (trans(s293, s294)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19445, 19442, 39])).
% 8.03/5.83 tff(19447,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19448,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s293, s294)) | (~always3(s293)) | always3(s294))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19449,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s293, s294)) | (~always3(s293)) | always3(s294)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19448, 19447])).
% 8.03/5.83 tff(19450,plain,
% 8.03/5.83 ((~always3(s293)) | always3(s294)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19449, 112, 19446])).
% 8.03/5.83 tff(19451,plain,
% 8.03/5.83 (~always3(s293)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19450, 19439])).
% 8.03/5.83 tff(19452,plain,
% 8.03/5.83 (succ(s292, s293) <=> succ(s292, s293)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19453,axiom,(succ(s292, s293)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound293')).
% 8.03/5.83 tff(19454,plain,
% 8.03/5.83 (succ(s292, s293)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19453, 19452])).
% 8.03/5.83 tff(19455,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19456,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s292, s293)) | trans(s292, s293))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19457,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s292, s293)) | trans(s292, s293)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19456, 19455])).
% 8.03/5.83 tff(19458,plain,
% 8.03/5.83 (trans(s292, s293)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19457, 19454, 39])).
% 8.03/5.83 tff(19459,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19460,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s292, s293)) | (~always3(s292)) | always3(s293))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19461,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s292, s293)) | (~always3(s292)) | always3(s293)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19460, 19459])).
% 8.03/5.83 tff(19462,plain,
% 8.03/5.83 ((~always3(s292)) | always3(s293)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19461, 112, 19458])).
% 8.03/5.83 tff(19463,plain,
% 8.03/5.83 (~always3(s292)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19462, 19451])).
% 8.03/5.83 tff(19464,plain,
% 8.03/5.83 (succ(s291, s292) <=> succ(s291, s292)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19465,axiom,(succ(s291, s292)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound292')).
% 8.03/5.83 tff(19466,plain,
% 8.03/5.83 (succ(s291, s292)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19465, 19464])).
% 8.03/5.83 tff(19467,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19468,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s291, s292)) | trans(s291, s292))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19469,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s291, s292)) | trans(s291, s292)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19468, 19467])).
% 8.03/5.83 tff(19470,plain,
% 8.03/5.83 (trans(s291, s292)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19469, 19466, 39])).
% 8.03/5.83 tff(19471,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19472,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s291, s292)) | (~always3(s291)) | always3(s292))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19473,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s291, s292)) | (~always3(s291)) | always3(s292)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19472, 19471])).
% 8.03/5.83 tff(19474,plain,
% 8.03/5.83 ((~always3(s291)) | always3(s292)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19473, 112, 19470])).
% 8.03/5.83 tff(19475,plain,
% 8.03/5.83 (~always3(s291)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19474, 19463])).
% 8.03/5.83 tff(19476,plain,
% 8.03/5.83 (succ(s290, s291) <=> succ(s290, s291)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19477,axiom,(succ(s290, s291)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound291')).
% 8.03/5.83 tff(19478,plain,
% 8.03/5.83 (succ(s290, s291)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19477, 19476])).
% 8.03/5.83 tff(19479,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19480,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19481,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19480, 19479])).
% 8.03/5.83 tff(19482,plain,
% 8.03/5.83 (trans(s290, s291)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19481, 19478, 39])).
% 8.03/5.83 tff(19483,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19484,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s290, s291)) | (~always3(s290)) | always3(s291))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19485,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s290, s291)) | (~always3(s290)) | always3(s291)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19484, 19483])).
% 8.03/5.83 tff(19486,plain,
% 8.03/5.83 ((~always3(s290)) | always3(s291)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19485, 112, 19482])).
% 8.03/5.83 tff(19487,plain,
% 8.03/5.83 (~always3(s290)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19486, 19475])).
% 8.03/5.83 tff(19488,plain,
% 8.03/5.83 (succ(s289, s290) <=> succ(s289, s290)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19489,axiom,(succ(s289, s290)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound290')).
% 8.03/5.83 tff(19490,plain,
% 8.03/5.83 (succ(s289, s290)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19489, 19488])).
% 8.03/5.83 tff(19491,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19492,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19493,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19492, 19491])).
% 8.03/5.83 tff(19494,plain,
% 8.03/5.83 (trans(s289, s290)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19493, 19490, 39])).
% 8.03/5.83 tff(19495,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19496,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s289, s290)) | (~always3(s289)) | always3(s290))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19497,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s289, s290)) | (~always3(s289)) | always3(s290)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19496, 19495])).
% 8.03/5.83 tff(19498,plain,
% 8.03/5.83 ((~always3(s289)) | always3(s290)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19497, 112, 19494])).
% 8.03/5.83 tff(19499,plain,
% 8.03/5.83 (~always3(s289)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19498, 19487])).
% 8.03/5.83 tff(19500,plain,
% 8.03/5.83 (succ(s288, s289) <=> succ(s288, s289)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19501,axiom,(succ(s288, s289)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound289')).
% 8.03/5.83 tff(19502,plain,
% 8.03/5.83 (succ(s288, s289)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19501, 19500])).
% 8.03/5.83 tff(19503,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19504,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s288, s289)) | trans(s288, s289))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19505,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s288, s289)) | trans(s288, s289)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19504, 19503])).
% 8.03/5.83 tff(19506,plain,
% 8.03/5.83 (trans(s288, s289)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19505, 19502, 39])).
% 8.03/5.83 tff(19507,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19508,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s288, s289)) | (~always3(s288)) | always3(s289))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19509,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s288, s289)) | (~always3(s288)) | always3(s289)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19508, 19507])).
% 8.03/5.83 tff(19510,plain,
% 8.03/5.83 ((~always3(s288)) | always3(s289)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19509, 112, 19506])).
% 8.03/5.83 tff(19511,plain,
% 8.03/5.83 (~always3(s288)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19510, 19499])).
% 8.03/5.83 tff(19512,plain,
% 8.03/5.83 (succ(s287, s288) <=> succ(s287, s288)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19513,axiom,(succ(s287, s288)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound288')).
% 8.03/5.83 tff(19514,plain,
% 8.03/5.83 (succ(s287, s288)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19513, 19512])).
% 8.03/5.83 tff(19515,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19516,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s287, s288)) | trans(s287, s288))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19517,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s287, s288)) | trans(s287, s288)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19516, 19515])).
% 8.03/5.83 tff(19518,plain,
% 8.03/5.83 (trans(s287, s288)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19517, 19514, 39])).
% 8.03/5.83 tff(19519,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19520,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s287, s288)) | (~always3(s287)) | always3(s288))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19521,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s287, s288)) | (~always3(s287)) | always3(s288)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19520, 19519])).
% 8.03/5.83 tff(19522,plain,
% 8.03/5.83 ((~always3(s287)) | always3(s288)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19521, 112, 19518])).
% 8.03/5.83 tff(19523,plain,
% 8.03/5.83 (~always3(s287)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19522, 19511])).
% 8.03/5.83 tff(19524,plain,
% 8.03/5.83 (succ(s286, s287) <=> succ(s286, s287)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19525,axiom,(succ(s286, s287)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound287')).
% 8.03/5.83 tff(19526,plain,
% 8.03/5.83 (succ(s286, s287)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19525, 19524])).
% 8.03/5.83 tff(19527,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19528,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s286, s287)) | trans(s286, s287))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19529,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s286, s287)) | trans(s286, s287)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19528, 19527])).
% 8.03/5.83 tff(19530,plain,
% 8.03/5.83 (trans(s286, s287)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19529, 19526, 39])).
% 8.03/5.83 tff(19531,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19532,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s286, s287)) | (~always3(s286)) | always3(s287))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19533,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s286, s287)) | (~always3(s286)) | always3(s287)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19532, 19531])).
% 8.03/5.83 tff(19534,plain,
% 8.03/5.83 ((~always3(s286)) | always3(s287)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19533, 112, 19530])).
% 8.03/5.83 tff(19535,plain,
% 8.03/5.83 (~always3(s286)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19534, 19523])).
% 8.03/5.83 tff(19536,plain,
% 8.03/5.83 (succ(s285, s286) <=> succ(s285, s286)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19537,axiom,(succ(s285, s286)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound286')).
% 8.03/5.83 tff(19538,plain,
% 8.03/5.83 (succ(s285, s286)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19537, 19536])).
% 8.03/5.83 tff(19539,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19540,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s285, s286)) | trans(s285, s286))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19541,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s285, s286)) | trans(s285, s286)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19540, 19539])).
% 8.03/5.83 tff(19542,plain,
% 8.03/5.83 (trans(s285, s286)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19541, 19538, 39])).
% 8.03/5.83 tff(19543,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19544,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s285, s286)) | (~always3(s285)) | always3(s286))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19545,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s285, s286)) | (~always3(s285)) | always3(s286)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19544, 19543])).
% 8.03/5.83 tff(19546,plain,
% 8.03/5.83 ((~always3(s285)) | always3(s286)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19545, 112, 19542])).
% 8.03/5.83 tff(19547,plain,
% 8.03/5.83 (~always3(s285)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19546, 19535])).
% 8.03/5.83 tff(19548,plain,
% 8.03/5.83 (succ(s284, s285) <=> succ(s284, s285)),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19549,axiom,(succ(s284, s285)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound285')).
% 8.03/5.83 tff(19550,plain,
% 8.03/5.83 (succ(s284, s285)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19549, 19548])).
% 8.03/5.83 tff(19551,plain,
% 8.03/5.83 (((~![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))),
% 8.03/5.83 inference(rewrite,[status(thm)],[])).
% 8.03/5.83 tff(19552,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s284, s285)) | trans(s284, s285))),
% 8.03/5.83 inference(quant_inst,[status(thm)],[])).
% 8.03/5.83 tff(19553,plain,
% 8.03/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s284, s285)) | trans(s284, s285)),
% 8.03/5.83 inference(modus_ponens,[status(thm)],[19552, 19551])).
% 8.03/5.83 tff(19554,plain,
% 8.03/5.83 (trans(s284, s285)),
% 8.03/5.83 inference(unit_resolution,[status(thm)],[19553, 19550, 39])).
% 8.03/5.83 tff(19555,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19556,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s284, s285)) | (~always3(s284)) | always3(s285))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19557,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s284, s285)) | (~always3(s284)) | always3(s285)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19556, 19555])).
% 8.03/5.84 tff(19558,plain,
% 8.03/5.84 ((~always3(s284)) | always3(s285)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19557, 112, 19554])).
% 8.03/5.84 tff(19559,plain,
% 8.03/5.84 (~always3(s284)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19558, 19547])).
% 8.03/5.84 tff(19560,plain,
% 8.03/5.84 (succ(s283, s284) <=> succ(s283, s284)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19561,axiom,(succ(s283, s284)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound284')).
% 8.03/5.84 tff(19562,plain,
% 8.03/5.84 (succ(s283, s284)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19561, 19560])).
% 8.03/5.84 tff(19563,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19564,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s283, s284)) | trans(s283, s284))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19565,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s283, s284)) | trans(s283, s284)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19564, 19563])).
% 8.03/5.84 tff(19566,plain,
% 8.03/5.84 (trans(s283, s284)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19565, 19562, 39])).
% 8.03/5.84 tff(19567,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19568,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s283, s284)) | (~always3(s283)) | always3(s284))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19569,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s283, s284)) | (~always3(s283)) | always3(s284)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19568, 19567])).
% 8.03/5.84 tff(19570,plain,
% 8.03/5.84 ((~always3(s283)) | always3(s284)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19569, 112, 19566])).
% 8.03/5.84 tff(19571,plain,
% 8.03/5.84 (~always3(s283)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19570, 19559])).
% 8.03/5.84 tff(19572,plain,
% 8.03/5.84 (succ(s282, s283) <=> succ(s282, s283)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19573,axiom,(succ(s282, s283)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound283')).
% 8.03/5.84 tff(19574,plain,
% 8.03/5.84 (succ(s282, s283)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19573, 19572])).
% 8.03/5.84 tff(19575,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19576,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s282, s283)) | trans(s282, s283))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19577,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s282, s283)) | trans(s282, s283)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19576, 19575])).
% 8.03/5.84 tff(19578,plain,
% 8.03/5.84 (trans(s282, s283)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19577, 19574, 39])).
% 8.03/5.84 tff(19579,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19580,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s282, s283)) | (~always3(s282)) | always3(s283))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19581,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s282, s283)) | (~always3(s282)) | always3(s283)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19580, 19579])).
% 8.03/5.84 tff(19582,plain,
% 8.03/5.84 ((~always3(s282)) | always3(s283)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19581, 112, 19578])).
% 8.03/5.84 tff(19583,plain,
% 8.03/5.84 (~always3(s282)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19582, 19571])).
% 8.03/5.84 tff(19584,plain,
% 8.03/5.84 (succ(s281, s282) <=> succ(s281, s282)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19585,axiom,(succ(s281, s282)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound282')).
% 8.03/5.84 tff(19586,plain,
% 8.03/5.84 (succ(s281, s282)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19585, 19584])).
% 8.03/5.84 tff(19587,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19588,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s281, s282)) | trans(s281, s282))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19589,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s281, s282)) | trans(s281, s282)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19588, 19587])).
% 8.03/5.84 tff(19590,plain,
% 8.03/5.84 (trans(s281, s282)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19589, 19586, 39])).
% 8.03/5.84 tff(19591,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19592,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s281, s282)) | (~always3(s281)) | always3(s282))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19593,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s281, s282)) | (~always3(s281)) | always3(s282)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19592, 19591])).
% 8.03/5.84 tff(19594,plain,
% 8.03/5.84 ((~always3(s281)) | always3(s282)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19593, 112, 19590])).
% 8.03/5.84 tff(19595,plain,
% 8.03/5.84 (~always3(s281)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19594, 19583])).
% 8.03/5.84 tff(19596,plain,
% 8.03/5.84 (succ(s280, s281) <=> succ(s280, s281)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19597,axiom,(succ(s280, s281)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound281')).
% 8.03/5.84 tff(19598,plain,
% 8.03/5.84 (succ(s280, s281)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19597, 19596])).
% 8.03/5.84 tff(19599,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19600,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s280, s281)) | trans(s280, s281))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19601,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s280, s281)) | trans(s280, s281)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19600, 19599])).
% 8.03/5.84 tff(19602,plain,
% 8.03/5.84 (trans(s280, s281)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19601, 19598, 39])).
% 8.03/5.84 tff(19603,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19604,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s280, s281)) | (~always3(s280)) | always3(s281))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19605,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s280, s281)) | (~always3(s280)) | always3(s281)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19604, 19603])).
% 8.03/5.84 tff(19606,plain,
% 8.03/5.84 ((~always3(s280)) | always3(s281)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19605, 112, 19602])).
% 8.03/5.84 tff(19607,plain,
% 8.03/5.84 (~always3(s280)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19606, 19595])).
% 8.03/5.84 tff(19608,plain,
% 8.03/5.84 (succ(s279, s280) <=> succ(s279, s280)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19609,axiom,(succ(s279, s280)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound280')).
% 8.03/5.84 tff(19610,plain,
% 8.03/5.84 (succ(s279, s280)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19609, 19608])).
% 8.03/5.84 tff(19611,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19612,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s279, s280)) | trans(s279, s280))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19613,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s279, s280)) | trans(s279, s280)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19612, 19611])).
% 8.03/5.84 tff(19614,plain,
% 8.03/5.84 (trans(s279, s280)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19613, 19610, 39])).
% 8.03/5.84 tff(19615,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19616,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s279, s280)) | (~always3(s279)) | always3(s280))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19617,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s279, s280)) | (~always3(s279)) | always3(s280)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19616, 19615])).
% 8.03/5.84 tff(19618,plain,
% 8.03/5.84 ((~always3(s279)) | always3(s280)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19617, 112, 19614])).
% 8.03/5.84 tff(19619,plain,
% 8.03/5.84 (~always3(s279)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19618, 19607])).
% 8.03/5.84 tff(19620,plain,
% 8.03/5.84 (succ(s278, s279) <=> succ(s278, s279)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19621,axiom,(succ(s278, s279)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound279')).
% 8.03/5.84 tff(19622,plain,
% 8.03/5.84 (succ(s278, s279)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19621, 19620])).
% 8.03/5.84 tff(19623,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19624,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s278, s279)) | trans(s278, s279))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19625,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s278, s279)) | trans(s278, s279)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19624, 19623])).
% 8.03/5.84 tff(19626,plain,
% 8.03/5.84 (trans(s278, s279)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19625, 19622, 39])).
% 8.03/5.84 tff(19627,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19628,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s278, s279)) | (~always3(s278)) | always3(s279))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19629,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s278, s279)) | (~always3(s278)) | always3(s279)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19628, 19627])).
% 8.03/5.84 tff(19630,plain,
% 8.03/5.84 ((~always3(s278)) | always3(s279)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19629, 112, 19626])).
% 8.03/5.84 tff(19631,plain,
% 8.03/5.84 (~always3(s278)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19630, 19619])).
% 8.03/5.84 tff(19632,plain,
% 8.03/5.84 (succ(s277, s278) <=> succ(s277, s278)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19633,axiom,(succ(s277, s278)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound278')).
% 8.03/5.84 tff(19634,plain,
% 8.03/5.84 (succ(s277, s278)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19633, 19632])).
% 8.03/5.84 tff(19635,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19636,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s277, s278)) | trans(s277, s278))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19637,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s277, s278)) | trans(s277, s278)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19636, 19635])).
% 8.03/5.84 tff(19638,plain,
% 8.03/5.84 (trans(s277, s278)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19637, 19634, 39])).
% 8.03/5.84 tff(19639,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19640,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s277, s278)) | (~always3(s277)) | always3(s278))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19641,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s277, s278)) | (~always3(s277)) | always3(s278)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19640, 19639])).
% 8.03/5.84 tff(19642,plain,
% 8.03/5.84 ((~always3(s277)) | always3(s278)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19641, 112, 19638])).
% 8.03/5.84 tff(19643,plain,
% 8.03/5.84 (~always3(s277)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19642, 19631])).
% 8.03/5.84 tff(19644,plain,
% 8.03/5.84 (succ(s276, s277) <=> succ(s276, s277)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19645,axiom,(succ(s276, s277)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound277')).
% 8.03/5.84 tff(19646,plain,
% 8.03/5.84 (succ(s276, s277)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19645, 19644])).
% 8.03/5.84 tff(19647,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19648,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s276, s277)) | trans(s276, s277))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19649,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s276, s277)) | trans(s276, s277)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19648, 19647])).
% 8.03/5.84 tff(19650,plain,
% 8.03/5.84 (trans(s276, s277)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19649, 19646, 39])).
% 8.03/5.84 tff(19651,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19652,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s276, s277)) | (~always3(s276)) | always3(s277))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19653,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s276, s277)) | (~always3(s276)) | always3(s277)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19652, 19651])).
% 8.03/5.84 tff(19654,plain,
% 8.03/5.84 ((~always3(s276)) | always3(s277)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19653, 112, 19650])).
% 8.03/5.84 tff(19655,plain,
% 8.03/5.84 (~always3(s276)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19654, 19643])).
% 8.03/5.84 tff(19656,plain,
% 8.03/5.84 (succ(s275, s276) <=> succ(s275, s276)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19657,axiom,(succ(s275, s276)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound276')).
% 8.03/5.84 tff(19658,plain,
% 8.03/5.84 (succ(s275, s276)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19657, 19656])).
% 8.03/5.84 tff(19659,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19660,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19661,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19660, 19659])).
% 8.03/5.84 tff(19662,plain,
% 8.03/5.84 (trans(s275, s276)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19661, 19658, 39])).
% 8.03/5.84 tff(19663,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19664,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s275, s276)) | (~always3(s275)) | always3(s276))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19665,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s275, s276)) | (~always3(s275)) | always3(s276)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19664, 19663])).
% 8.03/5.84 tff(19666,plain,
% 8.03/5.84 ((~always3(s275)) | always3(s276)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19665, 112, 19662])).
% 8.03/5.84 tff(19667,plain,
% 8.03/5.84 (~always3(s275)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19666, 19655])).
% 8.03/5.84 tff(19668,plain,
% 8.03/5.84 (succ(s274, s275) <=> succ(s274, s275)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19669,axiom,(succ(s274, s275)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound275')).
% 8.03/5.84 tff(19670,plain,
% 8.03/5.84 (succ(s274, s275)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19669, 19668])).
% 8.03/5.84 tff(19671,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19672,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19673,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19672, 19671])).
% 8.03/5.84 tff(19674,plain,
% 8.03/5.84 (trans(s274, s275)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19673, 19670, 39])).
% 8.03/5.84 tff(19675,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19676,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s274, s275)) | (~always3(s274)) | always3(s275))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19677,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s274, s275)) | (~always3(s274)) | always3(s275)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19676, 19675])).
% 8.03/5.84 tff(19678,plain,
% 8.03/5.84 ((~always3(s274)) | always3(s275)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19677, 112, 19674])).
% 8.03/5.84 tff(19679,plain,
% 8.03/5.84 (~always3(s274)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19678, 19667])).
% 8.03/5.84 tff(19680,plain,
% 8.03/5.84 (succ(s273, s274) <=> succ(s273, s274)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19681,axiom,(succ(s273, s274)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound274')).
% 8.03/5.84 tff(19682,plain,
% 8.03/5.84 (succ(s273, s274)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19681, 19680])).
% 8.03/5.84 tff(19683,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19684,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s273, s274)) | trans(s273, s274))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19685,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s273, s274)) | trans(s273, s274)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19684, 19683])).
% 8.03/5.84 tff(19686,plain,
% 8.03/5.84 (trans(s273, s274)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19685, 19682, 39])).
% 8.03/5.84 tff(19687,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19688,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s273, s274)) | (~always3(s273)) | always3(s274))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19689,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s273, s274)) | (~always3(s273)) | always3(s274)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 8.03/5.84 tff(19690,plain,
% 8.03/5.84 ((~always3(s273)) | always3(s274)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19689, 112, 19686])).
% 8.03/5.84 tff(19691,plain,
% 8.03/5.84 (~always3(s273)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19690, 19679])).
% 8.03/5.84 tff(19692,plain,
% 8.03/5.84 (succ(s272, s273) <=> succ(s272, s273)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19693,axiom,(succ(s272, s273)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound273')).
% 8.03/5.84 tff(19694,plain,
% 8.03/5.84 (succ(s272, s273)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19693, 19692])).
% 8.03/5.84 tff(19695,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19696,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s272, s273)) | trans(s272, s273))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19697,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s272, s273)) | trans(s272, s273)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 8.03/5.84 tff(19698,plain,
% 8.03/5.84 (trans(s272, s273)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19697, 19694, 39])).
% 8.03/5.84 tff(19699,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19700,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s272, s273)) | (~always3(s272)) | always3(s273))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19701,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s272, s273)) | (~always3(s272)) | always3(s273)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19700, 19699])).
% 8.03/5.84 tff(19702,plain,
% 8.03/5.84 ((~always3(s272)) | always3(s273)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19701, 112, 19698])).
% 8.03/5.84 tff(19703,plain,
% 8.03/5.84 (~always3(s272)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19702, 19691])).
% 8.03/5.84 tff(19704,plain,
% 8.03/5.84 (succ(s271, s272) <=> succ(s271, s272)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19705,axiom,(succ(s271, s272)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound272')).
% 8.03/5.84 tff(19706,plain,
% 8.03/5.84 (succ(s271, s272)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19705, 19704])).
% 8.03/5.84 tff(19707,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19708,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s271, s272)) | trans(s271, s272))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19709,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s271, s272)) | trans(s271, s272)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19708, 19707])).
% 8.03/5.84 tff(19710,plain,
% 8.03/5.84 (trans(s271, s272)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19709, 19706, 39])).
% 8.03/5.84 tff(19711,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19712,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s271, s272)) | (~always3(s271)) | always3(s272))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19713,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s271, s272)) | (~always3(s271)) | always3(s272)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19712, 19711])).
% 8.03/5.84 tff(19714,plain,
% 8.03/5.84 ((~always3(s271)) | always3(s272)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19713, 112, 19710])).
% 8.03/5.84 tff(19715,plain,
% 8.03/5.84 (~always3(s271)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19714, 19703])).
% 8.03/5.84 tff(19716,plain,
% 8.03/5.84 (succ(s270, s271) <=> succ(s270, s271)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19717,axiom,(succ(s270, s271)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound271')).
% 8.03/5.84 tff(19718,plain,
% 8.03/5.84 (succ(s270, s271)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19717, 19716])).
% 8.03/5.84 tff(19719,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19720,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s270, s271)) | trans(s270, s271))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19721,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s270, s271)) | trans(s270, s271)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19720, 19719])).
% 8.03/5.84 tff(19722,plain,
% 8.03/5.84 (trans(s270, s271)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19721, 19718, 39])).
% 8.03/5.84 tff(19723,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19724,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s270, s271)) | (~always3(s270)) | always3(s271))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19725,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s270, s271)) | (~always3(s270)) | always3(s271)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19724, 19723])).
% 8.03/5.84 tff(19726,plain,
% 8.03/5.84 ((~always3(s270)) | always3(s271)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19725, 112, 19722])).
% 8.03/5.84 tff(19727,plain,
% 8.03/5.84 (~always3(s270)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19726, 19715])).
% 8.03/5.84 tff(19728,plain,
% 8.03/5.84 (succ(s269, s270) <=> succ(s269, s270)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19729,axiom,(succ(s269, s270)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound270')).
% 8.03/5.84 tff(19730,plain,
% 8.03/5.84 (succ(s269, s270)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19729, 19728])).
% 8.03/5.84 tff(19731,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19732,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s269, s270)) | trans(s269, s270))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19733,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s269, s270)) | trans(s269, s270)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19732, 19731])).
% 8.03/5.84 tff(19734,plain,
% 8.03/5.84 (trans(s269, s270)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19733, 19730, 39])).
% 8.03/5.84 tff(19735,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19736,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s269, s270)) | (~always3(s269)) | always3(s270))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19737,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s269, s270)) | (~always3(s269)) | always3(s270)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19736, 19735])).
% 8.03/5.84 tff(19738,plain,
% 8.03/5.84 ((~always3(s269)) | always3(s270)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19737, 112, 19734])).
% 8.03/5.84 tff(19739,plain,
% 8.03/5.84 (~always3(s269)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19738, 19727])).
% 8.03/5.84 tff(19740,plain,
% 8.03/5.84 (succ(s268, s269) <=> succ(s268, s269)),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19741,axiom,(succ(s268, s269)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound269')).
% 8.03/5.84 tff(19742,plain,
% 8.03/5.84 (succ(s268, s269)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19741, 19740])).
% 8.03/5.84 tff(19743,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19744,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s268, s269)) | trans(s268, s269))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19745,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s268, s269)) | trans(s268, s269)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19744, 19743])).
% 8.03/5.84 tff(19746,plain,
% 8.03/5.84 (trans(s268, s269)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19745, 19742, 39])).
% 8.03/5.84 tff(19747,plain,
% 8.03/5.84 (((~![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))),
% 8.03/5.84 inference(rewrite,[status(thm)],[])).
% 8.03/5.84 tff(19748,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s268, s269)) | (~always3(s268)) | always3(s269))),
% 8.03/5.84 inference(quant_inst,[status(thm)],[])).
% 8.03/5.84 tff(19749,plain,
% 8.03/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s268, s269)) | (~always3(s268)) | always3(s269)),
% 8.03/5.84 inference(modus_ponens,[status(thm)],[19748, 19747])).
% 8.03/5.84 tff(19750,plain,
% 8.03/5.84 ((~always3(s268)) | always3(s269)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19749, 112, 19746])).
% 8.03/5.84 tff(19751,plain,
% 8.03/5.84 (~always3(s268)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[19750, 19739])).
% 8.03/5.84 tff(19752,plain,
% 8.03/5.84 (~always3(s267)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[18874, 19751])).
% 8.03/5.84 tff(19753,plain,
% 8.03/5.84 (~always3(s266)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[18779, 19752])).
% 8.03/5.84 tff(19754,plain,
% 8.03/5.84 (~always3(s265)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17871, 19753])).
% 8.03/5.84 tff(19755,plain,
% 8.03/5.84 (~always3(s264)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17822, 19754])).
% 8.03/5.84 tff(19756,plain,
% 8.03/5.84 (~always3(s263)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17766, 19755])).
% 8.03/5.84 tff(19757,plain,
% 8.03/5.84 (~always3(s262)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17710, 19756])).
% 8.03/5.84 tff(19758,plain,
% 8.03/5.84 (~always3(s261)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17654, 19757])).
% 8.03/5.84 tff(19759,plain,
% 8.03/5.84 (~always3(s260)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17598, 19758])).
% 8.03/5.84 tff(19760,plain,
% 8.03/5.84 (~always3(s259)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17542, 19759])).
% 8.03/5.84 tff(19761,plain,
% 8.03/5.84 (~always3(s258)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17486, 19760])).
% 8.03/5.84 tff(19762,plain,
% 8.03/5.84 (~always3(s257)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17430, 19761])).
% 8.03/5.84 tff(19763,plain,
% 8.03/5.84 (~always3(s256)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17374, 19762])).
% 8.03/5.84 tff(19764,plain,
% 8.03/5.84 (~always3(s255)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17318, 19763])).
% 8.03/5.84 tff(19765,plain,
% 8.03/5.84 (~always3(s254)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17262, 19764])).
% 8.03/5.84 tff(19766,plain,
% 8.03/5.84 (~always3(s253)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17206, 19765])).
% 8.03/5.84 tff(19767,plain,
% 8.03/5.84 (~always3(s252)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17150, 19766])).
% 8.03/5.84 tff(19768,plain,
% 8.03/5.84 (~always3(s251)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17094, 19767])).
% 8.03/5.84 tff(19769,plain,
% 8.03/5.84 (~always3(s250)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[17038, 19768])).
% 8.03/5.84 tff(19770,plain,
% 8.03/5.84 (~always3(s249)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16982, 19769])).
% 8.03/5.84 tff(19771,plain,
% 8.03/5.84 (~always3(s248)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16926, 19770])).
% 8.03/5.84 tff(19772,plain,
% 8.03/5.84 (~always3(s247)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16773, 19771])).
% 8.03/5.84 tff(19773,plain,
% 8.03/5.84 (~always3(s246)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16717, 19772])).
% 8.03/5.84 tff(19774,plain,
% 8.03/5.84 (~always3(s245)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16661, 19773])).
% 8.03/5.84 tff(19775,plain,
% 8.03/5.84 (~always3(s244)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16605, 19774])).
% 8.03/5.84 tff(19776,plain,
% 8.03/5.84 (~always3(s243)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16549, 19775])).
% 8.03/5.84 tff(19777,plain,
% 8.03/5.84 (~always3(s242)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16493, 19776])).
% 8.03/5.84 tff(19778,plain,
% 8.03/5.84 (~always3(s241)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16437, 19777])).
% 8.03/5.84 tff(19779,plain,
% 8.03/5.84 (~always3(s240)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16381, 19778])).
% 8.03/5.84 tff(19780,plain,
% 8.03/5.84 (~always3(s239)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16325, 19779])).
% 8.03/5.84 tff(19781,plain,
% 8.03/5.84 (~always3(s238)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16269, 19780])).
% 8.03/5.84 tff(19782,plain,
% 8.03/5.84 (~always3(s237)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16150, 19781])).
% 8.03/5.84 tff(19783,plain,
% 8.03/5.84 (~always3(s236)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16094, 19782])).
% 8.03/5.84 tff(19784,plain,
% 8.03/5.84 (~always3(s235)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[16038, 19783])).
% 8.03/5.84 tff(19785,plain,
% 8.03/5.84 (~always3(s234)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15982, 19784])).
% 8.03/5.84 tff(19786,plain,
% 8.03/5.84 (~always3(s233)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15926, 19785])).
% 8.03/5.84 tff(19787,plain,
% 8.03/5.84 (~always3(s232)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15759, 19786])).
% 8.03/5.84 tff(19788,plain,
% 8.03/5.84 (~always3(s231)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15550, 19787])).
% 8.03/5.84 tff(19789,plain,
% 8.03/5.84 (~always3(s230)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15562, 19788])).
% 8.03/5.84 tff(19790,plain,
% 8.03/5.84 (~always3(s229)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15574, 19789])).
% 8.03/5.84 tff(19791,plain,
% 8.03/5.84 (~always3(s228)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15710, 19790])).
% 8.03/5.84 tff(19792,plain,
% 8.03/5.84 (~always3(s227)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15522, 19791])).
% 8.03/5.84 tff(19793,plain,
% 8.03/5.84 (~always3(s226)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15473, 19792])).
% 8.03/5.84 tff(19794,plain,
% 8.03/5.84 (~always3(s225)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15417, 19793])).
% 8.03/5.84 tff(19795,plain,
% 8.03/5.84 (~always3(s224)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15361, 19794])).
% 8.03/5.84 tff(19796,plain,
% 8.03/5.84 (~always3(s223)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15305, 19795])).
% 8.03/5.84 tff(19797,plain,
% 8.03/5.84 (~always3(s222)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15255, 19796])).
% 8.03/5.84 tff(19798,plain,
% 8.03/5.84 (~always3(s221)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15127, 19797])).
% 8.03/5.84 tff(19799,plain,
% 8.03/5.84 (~always3(s220)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15078, 19798])).
% 8.03/5.84 tff(19800,plain,
% 8.03/5.84 (~always3(s219)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[15022, 19799])).
% 8.03/5.84 tff(19801,plain,
% 8.03/5.84 (~always3(s218)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[14935, 19800])).
% 8.03/5.84 tff(19802,plain,
% 8.03/5.84 (~always3(s217)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[14548, 19801])).
% 8.03/5.84 tff(19803,plain,
% 8.03/5.84 (~always3(s216)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[14499, 19802])).
% 8.03/5.84 tff(19804,plain,
% 8.03/5.84 (~always3(s215)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[14399, 19803])).
% 8.03/5.84 tff(19805,plain,
% 8.03/5.84 (~always3(s214)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[14343, 19804])).
% 8.03/5.84 tff(19806,plain,
% 8.03/5.84 (~always3(s213)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[14269, 19805])).
% 8.03/5.84 tff(19807,plain,
% 8.03/5.84 (~always3(s212)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[14231, 19806])).
% 8.03/5.84 tff(19808,plain,
% 8.03/5.84 (~always3(s211)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[14169, 19807])).
% 8.03/5.84 tff(19809,plain,
% 8.03/5.84 (~always3(s210)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[13954, 19808])).
% 8.03/5.84 tff(19810,plain,
% 8.03/5.84 (~always3(s209)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[13898, 19809])).
% 8.03/5.84 tff(19811,plain,
% 8.03/5.84 (~always3(s208)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[13748, 19810])).
% 8.03/5.84 tff(19812,plain,
% 8.03/5.84 (~always3(s207)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[12647, 19811])).
% 8.03/5.84 tff(19813,plain,
% 8.03/5.84 (~always3(s206)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[12696, 19812])).
% 8.03/5.84 tff(19814,plain,
% 8.03/5.84 (~always3(s205)),
% 8.03/5.84 inference(unit_resolution,[status(thm)],[12831, 19813])).
% 8.03/5.85 tff(19815,plain,
% 8.03/5.85 (~always3(s204)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12736, 19814])).
% 8.03/5.85 tff(19816,plain,
% 8.03/5.85 (~always3(s203)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[13513, 19815])).
% 8.03/5.85 tff(19817,plain,
% 8.03/5.85 (~always3(s202)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[13619, 19816])).
% 8.03/5.85 tff(19818,plain,
% 8.03/5.85 (~always3(s201)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12509, 19817])).
% 8.03/5.85 tff(19819,plain,
% 8.03/5.85 (~always3(s200)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12558, 19818])).
% 8.03/5.85 tff(19820,plain,
% 8.03/5.85 (~always3(s199)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12460, 19819])).
% 8.03/5.85 tff(19821,plain,
% 8.03/5.85 (~always3(s198)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12788, 19820])).
% 8.03/5.85 tff(19822,plain,
% 8.03/5.85 (~always3(s197)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12592, 19821])).
% 8.03/5.85 tff(19823,plain,
% 8.03/5.85 (~always3(s196)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[13684, 19822])).
% 8.03/5.85 tff(19824,plain,
% 8.03/5.85 (~always3(s195)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12404, 19823])).
% 8.03/5.85 tff(19825,plain,
% 8.03/5.85 (~always3(s194)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12348, 19824])).
% 8.03/5.85 tff(19826,plain,
% 8.03/5.85 (~always3(s193)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12292, 19825])).
% 8.03/5.85 tff(19827,plain,
% 8.03/5.85 (~always3(s192)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12236, 19826])).
% 8.03/5.85 tff(19828,plain,
% 8.03/5.85 (~always3(s191)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12180, 19827])).
% 8.03/5.85 tff(19829,plain,
% 8.03/5.85 (~always3(s190)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12124, 19828])).
% 8.03/5.85 tff(19830,plain,
% 8.03/5.85 (~always3(s189)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12068, 19829])).
% 8.03/5.85 tff(19831,plain,
% 8.03/5.85 (~always3(s188)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[12012, 19830])).
% 8.03/5.85 tff(19832,plain,
% 8.03/5.85 (~always3(s187)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11956, 19831])).
% 8.03/5.85 tff(19833,plain,
% 8.03/5.85 (~always3(s186)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11900, 19832])).
% 8.03/5.85 tff(19834,plain,
% 8.03/5.85 (~always3(s185)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11844, 19833])).
% 8.03/5.85 tff(19835,plain,
% 8.03/5.85 (~always3(s184)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11788, 19834])).
% 8.03/5.85 tff(19836,plain,
% 8.03/5.85 (~always3(s183)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11732, 19835])).
% 8.03/5.85 tff(19837,plain,
% 8.03/5.85 (~always3(s182)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11676, 19836])).
% 8.03/5.85 tff(19838,plain,
% 8.03/5.85 (~always3(s181)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11620, 19837])).
% 8.03/5.85 tff(19839,plain,
% 8.03/5.85 (~always3(s180)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11585, 19838])).
% 8.03/5.85 tff(19840,plain,
% 8.03/5.85 (~always3(s179)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11505, 19839])).
% 8.03/5.85 tff(19841,plain,
% 8.03/5.85 (~always3(s178)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11449, 19840])).
% 8.03/5.85 tff(19842,plain,
% 8.03/5.85 (~always3(s177)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11393, 19841])).
% 8.03/5.85 tff(19843,plain,
% 8.03/5.85 (~always3(s176)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11357, 19842])).
% 8.03/5.85 tff(19844,plain,
% 8.03/5.85 (~always3(s175)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11277, 19843])).
% 8.03/5.85 tff(19845,plain,
% 8.03/5.85 (~always3(s174)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11242, 19844])).
% 8.03/5.85 tff(19846,plain,
% 8.03/5.85 (~always3(s173)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11162, 19845])).
% 8.03/5.85 tff(19847,plain,
% 8.03/5.85 (~always3(s172)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11106, 19846])).
% 8.03/5.85 tff(19848,plain,
% 8.03/5.85 (~always3(s171)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[11050, 19847])).
% 8.03/5.85 tff(19849,plain,
% 8.03/5.85 (~always3(s170)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10977, 19848])).
% 8.03/5.85 tff(19850,plain,
% 8.03/5.85 (~always3(s169)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10921, 19849])).
% 8.03/5.85 tff(19851,plain,
% 8.03/5.85 (~always3(s168)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10865, 19850])).
% 8.03/5.85 tff(19852,plain,
% 8.03/5.85 (~always3(s167)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10809, 19851])).
% 8.03/5.85 tff(19853,plain,
% 8.03/5.85 (~always3(s166)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10753, 19852])).
% 8.03/5.85 tff(19854,plain,
% 8.03/5.85 (~always3(s165)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10697, 19853])).
% 8.03/5.85 tff(19855,plain,
% 8.03/5.85 (~always3(s164)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10635, 19854])).
% 8.03/5.85 tff(19856,plain,
% 8.03/5.85 (~always3(s163)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10582, 19855])).
% 8.03/5.85 tff(19857,plain,
% 8.03/5.85 (~always3(s162)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10526, 19856])).
% 8.03/5.85 tff(19858,plain,
% 8.03/5.85 (~always3(s161)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10464, 19857])).
% 8.03/5.85 tff(19859,plain,
% 8.03/5.85 (~always3(s160)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10411, 19858])).
% 8.03/5.85 tff(19860,plain,
% 8.03/5.85 (~always3(s159)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10355, 19859])).
% 8.03/5.85 tff(19861,plain,
% 8.03/5.85 (~always3(s158)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10299, 19860])).
% 8.03/5.85 tff(19862,plain,
% 8.03/5.85 (~always3(s157)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10243, 19861])).
% 8.03/5.85 tff(19863,plain,
% 8.03/5.85 (~always3(s156)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10187, 19862])).
% 8.03/5.85 tff(19864,plain,
% 8.03/5.85 (~always3(s155)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10131, 19863])).
% 8.03/5.85 tff(19865,plain,
% 8.03/5.85 (~always3(s154)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10075, 19864])).
% 8.03/5.85 tff(19866,plain,
% 8.03/5.85 (~always3(s153)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[10019, 19865])).
% 8.03/5.85 tff(19867,plain,
% 8.03/5.85 (~always3(s152)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9963, 19866])).
% 8.03/5.85 tff(19868,plain,
% 8.03/5.85 (~always3(s151)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9907, 19867])).
% 8.03/5.85 tff(19869,plain,
% 8.03/5.85 (~always3(s150)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[217, 19868])).
% 8.03/5.85 tff(19870,plain,
% 8.03/5.85 (~always3(s149)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9845, 19869])).
% 8.03/5.85 tff(19871,plain,
% 8.03/5.85 (~always3(s148)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9789, 19870])).
% 8.03/5.85 tff(19872,plain,
% 8.03/5.85 (~always3(s147)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9733, 19871])).
% 8.03/5.85 tff(19873,plain,
% 8.03/5.85 (~always3(s146)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9677, 19872])).
% 8.03/5.85 tff(19874,plain,
% 8.03/5.85 (~always3(s145)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9621, 19873])).
% 8.03/5.85 tff(19875,plain,
% 8.03/5.85 (~always3(s144)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9565, 19874])).
% 8.03/5.85 tff(19876,plain,
% 8.03/5.85 (~always3(s143)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9509, 19875])).
% 8.03/5.85 tff(19877,plain,
% 8.03/5.85 (~always3(s142)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9453, 19876])).
% 8.03/5.85 tff(19878,plain,
% 8.03/5.85 (~always3(s141)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9397, 19877])).
% 8.03/5.85 tff(19879,plain,
% 8.03/5.85 (~always3(s140)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9341, 19878])).
% 8.03/5.85 tff(19880,plain,
% 8.03/5.85 (~always3(s139)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9285, 19879])).
% 8.03/5.85 tff(19881,plain,
% 8.03/5.85 (~always3(s138)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9229, 19880])).
% 8.03/5.85 tff(19882,plain,
% 8.03/5.85 (~always3(s137)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9173, 19881])).
% 8.03/5.85 tff(19883,plain,
% 8.03/5.85 (~always3(s136)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9100, 19882])).
% 8.03/5.85 tff(19884,plain,
% 8.03/5.85 (~always3(s135)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[9044, 19883])).
% 8.03/5.85 tff(19885,plain,
% 8.03/5.85 (~always3(s134)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8988, 19884])).
% 8.03/5.85 tff(19886,plain,
% 8.03/5.85 (~always3(s133)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8932, 19885])).
% 8.03/5.85 tff(19887,plain,
% 8.03/5.85 (~always3(s132)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8876, 19886])).
% 8.03/5.85 tff(19888,plain,
% 8.03/5.85 (~always3(s131)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8820, 19887])).
% 8.03/5.85 tff(19889,plain,
% 8.03/5.85 (~always3(s130)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8764, 19888])).
% 8.03/5.85 tff(19890,plain,
% 8.03/5.85 (~always3(s129)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8708, 19889])).
% 8.03/5.85 tff(19891,plain,
% 8.03/5.85 (~always3(s128)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8652, 19890])).
% 8.03/5.85 tff(19892,plain,
% 8.03/5.85 (~always3(s127)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8596, 19891])).
% 8.03/5.85 tff(19893,plain,
% 8.03/5.85 (~always3(s126)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8540, 19892])).
% 8.03/5.85 tff(19894,plain,
% 8.03/5.85 (~always3(s125)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8484, 19893])).
% 8.03/5.85 tff(19895,plain,
% 8.03/5.85 (~always3(s124)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8428, 19894])).
% 8.03/5.85 tff(19896,plain,
% 8.03/5.85 (~always3(s123)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8372, 19895])).
% 8.03/5.85 tff(19897,plain,
% 8.03/5.85 (~always3(s122)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8316, 19896])).
% 8.03/5.85 tff(19898,plain,
% 8.03/5.85 (~always3(s121)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8260, 19897])).
% 8.03/5.85 tff(19899,plain,
% 8.03/5.85 (~always3(s120)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8204, 19898])).
% 8.03/5.85 tff(19900,plain,
% 8.03/5.85 (~always3(s119)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8148, 19899])).
% 8.03/5.85 tff(19901,plain,
% 8.03/5.85 (~always3(s118)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8092, 19900])).
% 8.03/5.85 tff(19902,plain,
% 8.03/5.85 (~always3(s117)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[8036, 19901])).
% 8.03/5.85 tff(19903,plain,
% 8.03/5.85 (~always3(s116)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7980, 19902])).
% 8.03/5.85 tff(19904,plain,
% 8.03/5.85 (~always3(s115)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7924, 19903])).
% 8.03/5.85 tff(19905,plain,
% 8.03/5.85 (~always3(s114)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7868, 19904])).
% 8.03/5.85 tff(19906,plain,
% 8.03/5.85 (~always3(s113)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7812, 19905])).
% 8.03/5.85 tff(19907,plain,
% 8.03/5.85 (~always3(s112)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7739, 19906])).
% 8.03/5.85 tff(19908,plain,
% 8.03/5.85 (~always3(s111)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7673, 19907])).
% 8.03/5.85 tff(19909,plain,
% 8.03/5.85 (~always3(s110)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7617, 19908])).
% 8.03/5.85 tff(19910,plain,
% 8.03/5.85 (~always3(s109)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7561, 19909])).
% 8.03/5.85 tff(19911,plain,
% 8.03/5.85 (~always3(s108)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7505, 19910])).
% 8.03/5.85 tff(19912,plain,
% 8.03/5.85 (~always3(s107)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7449, 19911])).
% 8.03/5.85 tff(19913,plain,
% 8.03/5.85 (~always3(s106)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7393, 19912])).
% 8.03/5.85 tff(19914,plain,
% 8.03/5.85 (~always3(s105)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7337, 19913])).
% 8.03/5.85 tff(19915,plain,
% 8.03/5.85 (~always3(s104)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7250, 19914])).
% 8.03/5.85 tff(19916,plain,
% 8.03/5.85 (~always3(s103)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7169, 19915])).
% 8.03/5.85 tff(19917,plain,
% 8.03/5.85 (~always3(s102)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7120, 19916])).
% 8.03/5.85 tff(19918,plain,
% 8.03/5.85 (~always3(s101)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7064, 19917])).
% 8.03/5.85 tff(19919,plain,
% 8.03/5.85 (~always3(s100)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[7008, 19918])).
% 8.03/5.85 tff(19920,plain,
% 8.03/5.85 (~always3(s99)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[6952, 19919])).
% 8.03/5.85 tff(19921,plain,
% 8.03/5.85 (~always3(s98)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[6896, 19920])).
% 8.03/5.85 tff(19922,plain,
% 8.03/5.85 (~always3(s97)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[6840, 19921])).
% 8.03/5.85 tff(19923,plain,
% 8.03/5.85 (~always3(s96)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[6784, 19922])).
% 8.03/5.85 tff(19924,plain,
% 8.03/5.85 (~always3(s95)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[6728, 19923])).
% 8.03/5.85 tff(19925,plain,
% 8.03/5.85 (~always3(s94)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[6672, 19924])).
% 8.03/5.85 tff(19926,plain,
% 8.03/5.85 (~always3(s93)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[6598, 19925])).
% 8.03/5.85 tff(19927,assumption,(~always3(s93)), introduced(assumption)).
% 8.03/5.85 tff(19928,assumption,(~always3(s349)), introduced(assumption)).
% 8.03/5.85 tff(19929,plain,
% 8.03/5.85 (succ(s348, s349) <=> succ(s348, s349)),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19930,axiom,(succ(s348, s349)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound349')).
% 8.03/5.85 tff(19931,plain,
% 8.03/5.85 (succ(s348, s349)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19930, 19929])).
% 8.03/5.85 tff(19932,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19933,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s348, s349)) | trans(s348, s349))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(19934,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s348, s349)) | trans(s348, s349)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19933, 19932])).
% 8.03/5.85 tff(19935,plain,
% 8.03/5.85 (trans(s348, s349)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19934, 19931, 39])).
% 8.03/5.85 tff(19936,plain,
% 8.03/5.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s349) | (~trans(s348, s349)) | (~always3(s348)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s349) | (~trans(s348, s349)) | (~always3(s348)))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19937,plain,
% 8.03/5.85 (((~trans(s348, s349)) | (~always3(s348)) | always3(s349)) <=> (always3(s349) | (~trans(s348, s349)) | (~always3(s348)))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19938,plain,
% 8.03/5.85 (((~![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))) | (always3(s349) | (~trans(s348, s349)) | (~always3(s348))))),
% 8.03/5.85 inference(monotonicity,[status(thm)],[19937])).
% 8.03/5.85 tff(19939,plain,
% 8.03/5.85 (((~![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))) | always3(s349) | (~trans(s348, s349)) | (~always3(s348)))),
% 8.03/5.85 inference(transitivity,[status(thm)],[19938, 19936])).
% 8.03/5.85 tff(19940,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s348, s349)) | (~always3(s348)) | always3(s349))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(19941,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s349) | (~trans(s348, s349)) | (~always3(s348))),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19940, 19939])).
% 8.03/5.85 tff(19942,plain,
% 8.03/5.85 (always3(s349) | (~always3(s348))),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19941, 112, 19935])).
% 8.03/5.85 tff(19943,plain,
% 8.03/5.85 (~always3(s348)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19942, 19928])).
% 8.03/5.85 tff(19944,plain,
% 8.03/5.85 (succ(s347, s348) <=> succ(s347, s348)),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19945,axiom,(succ(s347, s348)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound348')).
% 8.03/5.85 tff(19946,plain,
% 8.03/5.85 (succ(s347, s348)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19945, 19944])).
% 8.03/5.85 tff(19947,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19948,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s347, s348)) | trans(s347, s348))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(19949,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s347, s348)) | trans(s347, s348)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19948, 19947])).
% 8.03/5.85 tff(19950,plain,
% 8.03/5.85 (trans(s347, s348)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19949, 19946, 39])).
% 8.03/5.85 tff(19951,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19952,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s347, s348)) | (~always3(s347)) | always3(s348))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(19953,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s347, s348)) | (~always3(s347)) | always3(s348)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19952, 19951])).
% 8.03/5.85 tff(19954,plain,
% 8.03/5.85 ((~always3(s347)) | always3(s348)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19953, 112, 19950])).
% 8.03/5.85 tff(19955,plain,
% 8.03/5.85 (~always3(s347)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19954, 19943])).
% 8.03/5.85 tff(19956,plain,
% 8.03/5.85 (succ(s346, s347) <=> succ(s346, s347)),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19957,axiom,(succ(s346, s347)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound347')).
% 8.03/5.85 tff(19958,plain,
% 8.03/5.85 (succ(s346, s347)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19957, 19956])).
% 8.03/5.85 tff(19959,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19960,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s346, s347)) | trans(s346, s347))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(19961,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s346, s347)) | trans(s346, s347)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19960, 19959])).
% 8.03/5.85 tff(19962,plain,
% 8.03/5.85 (trans(s346, s347)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19961, 19958, 39])).
% 8.03/5.85 tff(19963,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19964,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s346, s347)) | (~always3(s346)) | always3(s347))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(19965,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s346, s347)) | (~always3(s346)) | always3(s347)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19964, 19963])).
% 8.03/5.85 tff(19966,plain,
% 8.03/5.85 ((~always3(s346)) | always3(s347)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19965, 112, 19962])).
% 8.03/5.85 tff(19967,plain,
% 8.03/5.85 (~always3(s346)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19966, 19955])).
% 8.03/5.85 tff(19968,plain,
% 8.03/5.85 (succ(s345, s346) <=> succ(s345, s346)),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19969,axiom,(succ(s345, s346)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound346')).
% 8.03/5.85 tff(19970,plain,
% 8.03/5.85 (succ(s345, s346)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19969, 19968])).
% 8.03/5.85 tff(19971,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19972,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s345, s346)) | trans(s345, s346))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(19973,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s345, s346)) | trans(s345, s346)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19972, 19971])).
% 8.03/5.85 tff(19974,plain,
% 8.03/5.85 (trans(s345, s346)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19973, 19970, 39])).
% 8.03/5.85 tff(19975,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19976,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s345, s346)) | (~always3(s345)) | always3(s346))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(19977,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s345, s346)) | (~always3(s345)) | always3(s346)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19976, 19975])).
% 8.03/5.85 tff(19978,plain,
% 8.03/5.85 ((~always3(s345)) | always3(s346)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19977, 112, 19974])).
% 8.03/5.85 tff(19979,plain,
% 8.03/5.85 (~always3(s345)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19978, 19967])).
% 8.03/5.85 tff(19980,plain,
% 8.03/5.85 (succ(s344, s345) <=> succ(s344, s345)),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19981,axiom,(succ(s344, s345)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound345')).
% 8.03/5.85 tff(19982,plain,
% 8.03/5.85 (succ(s344, s345)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19981, 19980])).
% 8.03/5.85 tff(19983,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19984,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s344, s345)) | trans(s344, s345))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(19985,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s344, s345)) | trans(s344, s345)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19984, 19983])).
% 8.03/5.85 tff(19986,plain,
% 8.03/5.85 (trans(s344, s345)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19985, 19982, 39])).
% 8.03/5.85 tff(19987,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19988,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s344, s345)) | (~always3(s344)) | always3(s345))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(19989,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s344, s345)) | (~always3(s344)) | always3(s345)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19988, 19987])).
% 8.03/5.85 tff(19990,plain,
% 8.03/5.85 ((~always3(s344)) | always3(s345)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19989, 112, 19986])).
% 8.03/5.85 tff(19991,plain,
% 8.03/5.85 (~always3(s344)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19990, 19979])).
% 8.03/5.85 tff(19992,plain,
% 8.03/5.85 (succ(s343, s344) <=> succ(s343, s344)),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19993,axiom,(succ(s343, s344)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound344')).
% 8.03/5.85 tff(19994,plain,
% 8.03/5.85 (succ(s343, s344)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19993, 19992])).
% 8.03/5.85 tff(19995,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(19996,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s343, s344)) | trans(s343, s344))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(19997,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s343, s344)) | trans(s343, s344)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[19996, 19995])).
% 8.03/5.85 tff(19998,plain,
% 8.03/5.85 (trans(s343, s344)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19997, 19994, 39])).
% 8.03/5.85 tff(19999,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20000,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s343, s344)) | (~always3(s343)) | always3(s344))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(20001,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s343, s344)) | (~always3(s343)) | always3(s344)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20000, 19999])).
% 8.03/5.85 tff(20002,plain,
% 8.03/5.85 ((~always3(s343)) | always3(s344)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20001, 112, 19998])).
% 8.03/5.85 tff(20003,plain,
% 8.03/5.85 (~always3(s343)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20002, 19991])).
% 8.03/5.85 tff(20004,plain,
% 8.03/5.85 (succ(s342, s343) <=> succ(s342, s343)),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20005,axiom,(succ(s342, s343)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound343')).
% 8.03/5.85 tff(20006,plain,
% 8.03/5.85 (succ(s342, s343)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20005, 20004])).
% 8.03/5.85 tff(20007,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20008,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s342, s343)) | trans(s342, s343))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(20009,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s342, s343)) | trans(s342, s343)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 8.03/5.85 tff(20010,plain,
% 8.03/5.85 (trans(s342, s343)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20009, 20006, 39])).
% 8.03/5.85 tff(20011,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20012,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s342, s343)) | (~always3(s342)) | always3(s343))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(20013,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s342, s343)) | (~always3(s342)) | always3(s343)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20012, 20011])).
% 8.03/5.85 tff(20014,plain,
% 8.03/5.85 ((~always3(s342)) | always3(s343)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20013, 112, 20010])).
% 8.03/5.85 tff(20015,plain,
% 8.03/5.85 (~always3(s342)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20014, 20003])).
% 8.03/5.85 tff(20016,plain,
% 8.03/5.85 (succ(s341, s342) <=> succ(s341, s342)),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20017,axiom,(succ(s341, s342)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound342')).
% 8.03/5.85 tff(20018,plain,
% 8.03/5.85 (succ(s341, s342)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20017, 20016])).
% 8.03/5.85 tff(20019,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20020,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s341, s342)) | trans(s341, s342))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(20021,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s341, s342)) | trans(s341, s342)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20020, 20019])).
% 8.03/5.85 tff(20022,plain,
% 8.03/5.85 (trans(s341, s342)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20021, 20018, 39])).
% 8.03/5.85 tff(20023,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20024,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s341, s342)) | (~always3(s341)) | always3(s342))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(20025,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s341, s342)) | (~always3(s341)) | always3(s342)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20024, 20023])).
% 8.03/5.85 tff(20026,plain,
% 8.03/5.85 ((~always3(s341)) | always3(s342)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20025, 112, 20022])).
% 8.03/5.85 tff(20027,plain,
% 8.03/5.85 (~always3(s341)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20026, 20015])).
% 8.03/5.85 tff(20028,plain,
% 8.03/5.85 (succ(s340, s341) <=> succ(s340, s341)),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20029,axiom,(succ(s340, s341)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound341')).
% 8.03/5.85 tff(20030,plain,
% 8.03/5.85 (succ(s340, s341)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20029, 20028])).
% 8.03/5.85 tff(20031,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20032,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s340, s341)) | trans(s340, s341))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(20033,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s340, s341)) | trans(s340, s341)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20032, 20031])).
% 8.03/5.85 tff(20034,plain,
% 8.03/5.85 (trans(s340, s341)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20033, 20030, 39])).
% 8.03/5.85 tff(20035,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20036,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s340, s341)) | (~always3(s340)) | always3(s341))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(20037,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s340, s341)) | (~always3(s340)) | always3(s341)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20036, 20035])).
% 8.03/5.85 tff(20038,plain,
% 8.03/5.85 ((~always3(s340)) | always3(s341)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20037, 112, 20034])).
% 8.03/5.85 tff(20039,plain,
% 8.03/5.85 (~always3(s340)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20038, 20027])).
% 8.03/5.85 tff(20040,plain,
% 8.03/5.85 (succ(s339, s340) <=> succ(s339, s340)),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20041,axiom,(succ(s339, s340)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound340')).
% 8.03/5.85 tff(20042,plain,
% 8.03/5.85 (succ(s339, s340)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20041, 20040])).
% 8.03/5.85 tff(20043,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20044,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s339, s340)) | trans(s339, s340))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(20045,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s339, s340)) | trans(s339, s340)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20044, 20043])).
% 8.03/5.85 tff(20046,plain,
% 8.03/5.85 (trans(s339, s340)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20045, 20042, 39])).
% 8.03/5.85 tff(20047,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20048,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s339, s340)) | (~always3(s339)) | always3(s340))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(20049,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s339, s340)) | (~always3(s339)) | always3(s340)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20048, 20047])).
% 8.03/5.85 tff(20050,plain,
% 8.03/5.85 ((~always3(s339)) | always3(s340)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20049, 112, 20046])).
% 8.03/5.85 tff(20051,plain,
% 8.03/5.85 (~always3(s339)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20050, 20039])).
% 8.03/5.85 tff(20052,plain,
% 8.03/5.85 (succ(s338, s339) <=> succ(s338, s339)),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20053,axiom,(succ(s338, s339)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound339')).
% 8.03/5.85 tff(20054,plain,
% 8.03/5.85 (succ(s338, s339)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20053, 20052])).
% 8.03/5.85 tff(20055,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20056,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s338, s339)) | trans(s338, s339))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(20057,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s338, s339)) | trans(s338, s339)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20056, 20055])).
% 8.03/5.85 tff(20058,plain,
% 8.03/5.85 (trans(s338, s339)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20057, 20054, 39])).
% 8.03/5.85 tff(20059,plain,
% 8.03/5.85 (((~![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))),
% 8.03/5.85 inference(rewrite,[status(thm)],[])).
% 8.03/5.85 tff(20060,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s338, s339)) | (~always3(s338)) | always3(s339))),
% 8.03/5.85 inference(quant_inst,[status(thm)],[])).
% 8.03/5.85 tff(20061,plain,
% 8.03/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s338, s339)) | (~always3(s338)) | always3(s339)),
% 8.03/5.85 inference(modus_ponens,[status(thm)],[20060, 20059])).
% 8.03/5.85 tff(20062,plain,
% 8.03/5.85 ((~always3(s338)) | always3(s339)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20061, 112, 20058])).
% 8.03/5.85 tff(20063,plain,
% 8.03/5.85 (~always3(s338)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[20062, 20051])).
% 8.03/5.85 tff(20064,plain,
% 8.03/5.85 (~always3(s337)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[18922, 20063])).
% 8.03/5.85 tff(20065,plain,
% 8.03/5.85 (~always3(s336)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[18934, 20064])).
% 8.03/5.85 tff(20066,plain,
% 8.03/5.85 (~always3(s335)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[18946, 20065])).
% 8.03/5.85 tff(20067,plain,
% 8.03/5.85 (~always3(s334)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[18958, 20066])).
% 8.03/5.85 tff(20068,plain,
% 8.03/5.85 (~always3(s333)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[18970, 20067])).
% 8.03/5.85 tff(20069,plain,
% 8.03/5.85 (~always3(s332)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[18982, 20068])).
% 8.03/5.85 tff(20070,plain,
% 8.03/5.85 (~always3(s331)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[18994, 20069])).
% 8.03/5.85 tff(20071,plain,
% 8.03/5.85 (~always3(s330)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19006, 20070])).
% 8.03/5.85 tff(20072,plain,
% 8.03/5.85 (~always3(s329)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19018, 20071])).
% 8.03/5.85 tff(20073,plain,
% 8.03/5.85 (~always3(s328)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19030, 20072])).
% 8.03/5.85 tff(20074,plain,
% 8.03/5.85 (~always3(s327)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19042, 20073])).
% 8.03/5.85 tff(20075,plain,
% 8.03/5.85 (~always3(s326)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19054, 20074])).
% 8.03/5.85 tff(20076,plain,
% 8.03/5.85 (~always3(s325)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19066, 20075])).
% 8.03/5.85 tff(20077,plain,
% 8.03/5.85 (~always3(s324)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19078, 20076])).
% 8.03/5.85 tff(20078,plain,
% 8.03/5.85 (~always3(s323)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19090, 20077])).
% 8.03/5.85 tff(20079,plain,
% 8.03/5.85 (~always3(s322)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19102, 20078])).
% 8.03/5.85 tff(20080,plain,
% 8.03/5.85 (~always3(s321)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19114, 20079])).
% 8.03/5.85 tff(20081,plain,
% 8.03/5.85 (~always3(s320)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19126, 20080])).
% 8.03/5.85 tff(20082,plain,
% 8.03/5.85 (~always3(s319)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19138, 20081])).
% 8.03/5.85 tff(20083,plain,
% 8.03/5.85 (~always3(s318)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19150, 20082])).
% 8.03/5.85 tff(20084,plain,
% 8.03/5.85 (~always3(s317)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19162, 20083])).
% 8.03/5.85 tff(20085,plain,
% 8.03/5.85 (~always3(s316)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19174, 20084])).
% 8.03/5.85 tff(20086,plain,
% 8.03/5.85 (~always3(s315)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19186, 20085])).
% 8.03/5.85 tff(20087,plain,
% 8.03/5.85 (~always3(s314)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19198, 20086])).
% 8.03/5.85 tff(20088,plain,
% 8.03/5.85 (~always3(s313)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19210, 20087])).
% 8.03/5.85 tff(20089,plain,
% 8.03/5.85 (~always3(s312)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19222, 20088])).
% 8.03/5.85 tff(20090,plain,
% 8.03/5.85 (~always3(s311)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19234, 20089])).
% 8.03/5.85 tff(20091,plain,
% 8.03/5.85 (~always3(s310)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19246, 20090])).
% 8.03/5.85 tff(20092,plain,
% 8.03/5.85 (~always3(s309)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19258, 20091])).
% 8.03/5.85 tff(20093,plain,
% 8.03/5.85 (~always3(s308)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19270, 20092])).
% 8.03/5.85 tff(20094,plain,
% 8.03/5.85 (~always3(s307)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19282, 20093])).
% 8.03/5.85 tff(20095,plain,
% 8.03/5.85 (~always3(s306)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19294, 20094])).
% 8.03/5.85 tff(20096,plain,
% 8.03/5.85 (~always3(s305)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19306, 20095])).
% 8.03/5.85 tff(20097,plain,
% 8.03/5.85 (~always3(s304)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19318, 20096])).
% 8.03/5.85 tff(20098,plain,
% 8.03/5.85 (~always3(s303)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19330, 20097])).
% 8.03/5.85 tff(20099,plain,
% 8.03/5.85 (~always3(s302)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19342, 20098])).
% 8.03/5.85 tff(20100,plain,
% 8.03/5.85 (~always3(s301)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19354, 20099])).
% 8.03/5.85 tff(20101,plain,
% 8.03/5.85 (~always3(s300)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19366, 20100])).
% 8.03/5.85 tff(20102,plain,
% 8.03/5.85 (~always3(s299)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19378, 20101])).
% 8.03/5.85 tff(20103,plain,
% 8.03/5.85 (~always3(s298)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19390, 20102])).
% 8.03/5.85 tff(20104,plain,
% 8.03/5.85 (~always3(s297)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19402, 20103])).
% 8.03/5.85 tff(20105,plain,
% 8.03/5.85 (~always3(s296)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19414, 20104])).
% 8.03/5.85 tff(20106,plain,
% 8.03/5.85 (~always3(s295)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19426, 20105])).
% 8.03/5.85 tff(20107,plain,
% 8.03/5.85 (~always3(s294)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19438, 20106])).
% 8.03/5.85 tff(20108,plain,
% 8.03/5.85 (~always3(s293)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19450, 20107])).
% 8.03/5.85 tff(20109,plain,
% 8.03/5.85 (~always3(s292)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19462, 20108])).
% 8.03/5.85 tff(20110,plain,
% 8.03/5.85 (~always3(s291)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19474, 20109])).
% 8.03/5.85 tff(20111,plain,
% 8.03/5.85 (~always3(s290)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19486, 20110])).
% 8.03/5.85 tff(20112,plain,
% 8.03/5.85 (~always3(s289)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19498, 20111])).
% 8.03/5.85 tff(20113,plain,
% 8.03/5.85 (~always3(s288)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19510, 20112])).
% 8.03/5.85 tff(20114,plain,
% 8.03/5.85 (~always3(s287)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19522, 20113])).
% 8.03/5.85 tff(20115,plain,
% 8.03/5.85 (~always3(s286)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19534, 20114])).
% 8.03/5.85 tff(20116,plain,
% 8.03/5.85 (~always3(s285)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19546, 20115])).
% 8.03/5.85 tff(20117,plain,
% 8.03/5.85 (~always3(s284)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19558, 20116])).
% 8.03/5.85 tff(20118,plain,
% 8.03/5.85 (~always3(s283)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19570, 20117])).
% 8.03/5.85 tff(20119,plain,
% 8.03/5.85 (~always3(s282)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19582, 20118])).
% 8.03/5.85 tff(20120,plain,
% 8.03/5.85 (~always3(s281)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19594, 20119])).
% 8.03/5.85 tff(20121,plain,
% 8.03/5.85 (~always3(s280)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19606, 20120])).
% 8.03/5.85 tff(20122,plain,
% 8.03/5.85 (~always3(s279)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19618, 20121])).
% 8.03/5.85 tff(20123,plain,
% 8.03/5.85 (~always3(s278)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19630, 20122])).
% 8.03/5.85 tff(20124,plain,
% 8.03/5.85 (~always3(s277)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19642, 20123])).
% 8.03/5.85 tff(20125,plain,
% 8.03/5.85 (~always3(s276)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19654, 20124])).
% 8.03/5.85 tff(20126,plain,
% 8.03/5.85 (~always3(s275)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19666, 20125])).
% 8.03/5.85 tff(20127,plain,
% 8.03/5.85 (~always3(s274)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19678, 20126])).
% 8.03/5.85 tff(20128,plain,
% 8.03/5.85 (~always3(s273)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19690, 20127])).
% 8.03/5.85 tff(20129,plain,
% 8.03/5.85 (~always3(s272)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19702, 20128])).
% 8.03/5.85 tff(20130,plain,
% 8.03/5.85 (~always3(s271)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19714, 20129])).
% 8.03/5.85 tff(20131,plain,
% 8.03/5.85 (~always3(s270)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19726, 20130])).
% 8.03/5.85 tff(20132,plain,
% 8.03/5.85 (~always3(s269)),
% 8.03/5.85 inference(unit_resolution,[status(thm)],[19738, 20131])).
% 8.03/5.85 tff(20133,plain,
% 8.03/5.86 (~always3(s268)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[19750, 20132])).
% 8.03/5.86 tff(20134,plain,
% 8.03/5.86 (~always3(s267)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[18874, 20133])).
% 8.03/5.86 tff(20135,plain,
% 8.03/5.86 (~always3(s266)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[18779, 20134])).
% 8.03/5.86 tff(20136,plain,
% 8.03/5.86 (~always3(s265)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17871, 20135])).
% 8.03/5.86 tff(20137,plain,
% 8.03/5.86 (~always3(s264)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17822, 20136])).
% 8.03/5.86 tff(20138,plain,
% 8.03/5.86 (~always3(s263)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17766, 20137])).
% 8.03/5.86 tff(20139,plain,
% 8.03/5.86 (~always3(s262)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17710, 20138])).
% 8.03/5.86 tff(20140,plain,
% 8.03/5.86 (~always3(s261)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17654, 20139])).
% 8.03/5.86 tff(20141,plain,
% 8.03/5.86 (~always3(s260)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17598, 20140])).
% 8.03/5.86 tff(20142,plain,
% 8.03/5.86 (~always3(s259)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17542, 20141])).
% 8.03/5.86 tff(20143,plain,
% 8.03/5.86 (~always3(s258)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17486, 20142])).
% 8.03/5.86 tff(20144,plain,
% 8.03/5.86 (~always3(s257)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17430, 20143])).
% 8.03/5.86 tff(20145,plain,
% 8.03/5.86 (~always3(s256)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17374, 20144])).
% 8.03/5.86 tff(20146,plain,
% 8.03/5.86 (~always3(s255)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17318, 20145])).
% 8.03/5.86 tff(20147,plain,
% 8.03/5.86 (~always3(s254)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17262, 20146])).
% 8.03/5.86 tff(20148,plain,
% 8.03/5.86 (~always3(s253)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17206, 20147])).
% 8.03/5.86 tff(20149,plain,
% 8.03/5.86 (~always3(s252)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17150, 20148])).
% 8.03/5.86 tff(20150,plain,
% 8.03/5.86 (~always3(s251)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17094, 20149])).
% 8.03/5.86 tff(20151,plain,
% 8.03/5.86 (~always3(s250)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[17038, 20150])).
% 8.03/5.86 tff(20152,plain,
% 8.03/5.86 (~always3(s249)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[16982, 20151])).
% 8.03/5.86 tff(20153,plain,
% 8.03/5.86 (~always3(s248)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[16926, 20152])).
% 8.03/5.86 tff(20154,plain,
% 8.03/5.86 (~always3(s247)),
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% 8.03/5.86 tff(20155,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[16717, 20154])).
% 8.03/5.86 tff(20156,plain,
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% 8.03/5.86 tff(20157,plain,
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% 8.03/5.86 tff(20158,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[16549, 20157])).
% 8.03/5.86 tff(20159,plain,
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% 8.03/5.86 tff(20160,plain,
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% 8.03/5.86 tff(20161,plain,
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% 8.03/5.86 tff(20162,plain,
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% 8.03/5.86 tff(20163,plain,
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% 8.03/5.86 tff(20164,plain,
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% 8.03/5.86 tff(20165,plain,
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% 8.03/5.86 tff(20166,plain,
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% 8.03/5.86 tff(20167,plain,
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% 8.03/5.86 tff(20168,plain,
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% 8.03/5.86 tff(20169,plain,
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% 8.03/5.86 tff(20170,plain,
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% 8.03/5.86 tff(20171,plain,
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% 8.03/5.86 tff(20172,plain,
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% 8.03/5.86 tff(20173,plain,
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% 8.03/5.86 tff(20174,plain,
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% 8.03/5.86 tff(20175,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[15473, 20174])).
% 8.03/5.86 tff(20176,plain,
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% 8.03/5.86 tff(20177,plain,
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% 8.03/5.86 tff(20178,plain,
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% 8.03/5.86 tff(20179,plain,
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% 8.03/5.86 tff(20180,plain,
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% 8.03/5.86 tff(20181,plain,
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% 8.03/5.86 tff(20182,plain,
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% 8.03/5.86 tff(20183,plain,
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% 8.03/5.86 tff(20184,plain,
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% 8.03/5.86 tff(20185,plain,
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% 8.03/5.86 tff(20186,plain,
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% 8.03/5.86 tff(20187,plain,
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% 8.03/5.86 tff(20188,plain,
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% 8.03/5.86 tff(20189,plain,
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% 8.03/5.86 tff(20190,plain,
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% 8.03/5.86 tff(20191,plain,
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% 8.03/5.86 tff(20192,plain,
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% 8.03/5.86 tff(20193,plain,
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% 8.03/5.86 tff(20194,plain,
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% 8.03/5.86 tff(20195,plain,
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% 8.03/5.86 tff(20196,plain,
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% 8.03/5.86 tff(20197,plain,
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% 8.03/5.86 tff(20198,plain,
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% 8.03/5.86 tff(20199,plain,
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% 8.03/5.86 tff(20200,plain,
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% 8.03/5.86 tff(20201,plain,
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% 8.03/5.86 tff(20202,plain,
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% 8.03/5.86 tff(20203,plain,
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% 8.03/5.86 tff(20204,plain,
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% 8.03/5.86 tff(20205,plain,
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% 8.03/5.86 tff(20206,plain,
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% 8.03/5.86 tff(20207,plain,
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% 8.03/5.86 tff(20208,plain,
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% 8.03/5.86 tff(20209,plain,
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% 8.03/5.86 tff(20210,plain,
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% 8.03/5.86 tff(20211,plain,
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% 8.03/5.86 tff(20212,plain,
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% 8.03/5.86 tff(20213,plain,
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% 8.03/5.86 tff(20214,plain,
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% 8.03/5.86 tff(20215,plain,
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% 8.03/5.86 tff(20216,plain,
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% 8.03/5.86 tff(20217,plain,
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% 8.03/5.86 tff(20218,plain,
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% 8.03/5.86 tff(20219,plain,
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% 8.03/5.86 tff(20220,plain,
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% 8.03/5.86 tff(20221,plain,
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% 8.03/5.86 tff(20222,plain,
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% 8.03/5.86 tff(20223,plain,
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% 8.03/5.86 tff(20224,plain,
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% 8.03/5.86 tff(20225,plain,
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% 8.03/5.86 tff(20226,plain,
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% 8.03/5.86 tff(20227,plain,
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% 8.03/5.86 tff(20228,plain,
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% 8.03/5.86 tff(20229,plain,
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% 8.03/5.86 tff(20230,plain,
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% 8.03/5.86 tff(20231,plain,
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% 8.03/5.86 tff(20232,plain,
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% 8.03/5.86 tff(20233,plain,
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% 8.03/5.86 tff(20234,plain,
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% 8.03/5.86 tff(20235,plain,
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% 8.03/5.86 tff(20236,plain,
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% 8.03/5.86 tff(20237,plain,
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% 8.03/5.86 tff(20238,plain,
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% 8.03/5.86 tff(20239,plain,
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% 8.03/5.86 tff(20240,plain,
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% 8.03/5.86 tff(20241,plain,
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% 8.03/5.86 tff(20242,plain,
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% 8.03/5.86 tff(20243,plain,
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% 8.03/5.86 tff(20244,plain,
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% 8.03/5.86 tff(20245,plain,
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% 8.03/5.86 tff(20246,plain,
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% 8.03/5.86 tff(20247,plain,
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% 8.03/5.86 tff(20248,plain,
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% 8.03/5.86 tff(20249,plain,
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% 8.03/5.86 tff(20250,plain,
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% 8.03/5.86 tff(20251,plain,
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% 8.03/5.86 tff(20252,plain,
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% 8.03/5.86 tff(20253,plain,
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% 8.03/5.86 tff(20254,plain,
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% 8.03/5.86 tff(20255,plain,
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% 8.03/5.86 tff(20256,plain,
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% 8.03/5.86 tff(20257,plain,
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% 8.03/5.86 tff(20258,plain,
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% 8.03/5.86 tff(20259,plain,
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% 8.03/5.86 tff(20260,plain,
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% 8.03/5.86 tff(20261,plain,
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% 8.03/5.86 tff(20262,plain,
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% 8.03/5.86 tff(20263,plain,
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% 8.03/5.86 tff(20264,plain,
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% 8.03/5.86 tff(20265,plain,
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% 8.03/5.86 tff(20267,plain,
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% 8.03/5.86 tff(20268,plain,
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% 8.03/5.86 tff(20269,plain,
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% 8.03/5.86 tff(20270,plain,
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% 8.03/5.86 tff(20271,plain,
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% 8.03/5.86 tff(20275,plain,
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% 8.03/5.86 tff(20276,plain,
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% 8.03/5.86 tff(20277,plain,
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% 8.03/5.86 tff(20278,plain,
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% 8.03/5.86 tff(20279,plain,
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% 8.03/5.86 tff(20280,plain,
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% 8.03/5.86 tff(20281,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[8204, 20280])).
% 8.03/5.86 tff(20282,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[8148, 20281])).
% 8.03/5.86 tff(20283,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[8092, 20282])).
% 8.03/5.86 tff(20284,plain,
% 8.03/5.86 (~always3(s117)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8036, 20283])).
% 8.03/5.86 tff(20285,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7980, 20284])).
% 8.03/5.86 tff(20286,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7924, 20285])).
% 8.03/5.86 tff(20287,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7868, 20286])).
% 8.03/5.86 tff(20288,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7812, 20287])).
% 8.03/5.86 tff(20289,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7739, 20288])).
% 8.03/5.86 tff(20290,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7673, 20289])).
% 8.03/5.86 tff(20291,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7617, 20290])).
% 8.03/5.86 tff(20292,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7561, 20291])).
% 8.03/5.86 tff(20293,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7505, 20292])).
% 8.03/5.86 tff(20294,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7449, 20293])).
% 8.03/5.86 tff(20295,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7393, 20294])).
% 8.03/5.86 tff(20296,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7337, 20295])).
% 8.03/5.86 tff(20297,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7250, 20296])).
% 8.03/5.86 tff(20298,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7169, 20297])).
% 8.03/5.86 tff(20299,plain,
% 8.03/5.86 (~always3(s102)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7120, 20298])).
% 8.03/5.86 tff(20300,plain,
% 8.03/5.86 (~always3(s101)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7064, 20299])).
% 8.03/5.86 tff(20301,plain,
% 8.03/5.86 (~always3(s100)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7008, 20300])).
% 8.03/5.86 tff(20302,plain,
% 8.03/5.86 (~always3(s99)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6952, 20301])).
% 8.03/5.86 tff(20303,plain,
% 8.03/5.86 (~always3(s98)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6896, 20302])).
% 8.03/5.86 tff(20304,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[6840, 20303])).
% 8.03/5.86 tff(20305,plain,
% 8.03/5.86 (~always3(s96)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6784, 20304])).
% 8.03/5.86 tff(20306,plain,
% 8.03/5.86 (~always3(s95)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6728, 20305])).
% 8.03/5.86 tff(20307,plain,
% 8.03/5.86 (~always3(s94)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6672, 20306])).
% 8.03/5.86 tff(20308,plain,
% 8.03/5.86 (~always3(s93)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6598, 20307])).
% 8.03/5.86 tff(20309,plain,
% 8.03/5.86 (~always3(s92)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6158, 20308])).
% 8.03/5.86 tff(20310,plain,
% 8.03/5.86 (~always3(s91)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6519, 20309])).
% 8.03/5.86 tff(20311,plain,
% 8.03/5.86 (~always3(s90)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6222, 20310])).
% 8.03/5.86 tff(20312,plain,
% 8.03/5.86 (~always3(s89)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6105, 20311])).
% 8.03/5.86 tff(20313,plain,
% 8.03/5.86 (~always3(s88)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6049, 20312])).
% 8.03/5.86 tff(20314,plain,
% 8.03/5.86 (~always3(s87)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5993, 20313])).
% 8.03/5.86 tff(20315,plain,
% 8.03/5.86 (~always3(s86)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[138, 20314])).
% 8.03/5.86 tff(20316,plain,
% 8.03/5.86 (~always3(s85)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5735, 20315])).
% 8.03/5.86 tff(20317,plain,
% 8.03/5.86 (~always3(s84)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5679, 20316])).
% 8.03/5.86 tff(20318,plain,
% 8.03/5.86 (~always3(s83)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5623, 20317])).
% 8.03/5.86 tff(20319,plain,
% 8.03/5.86 (~always3(s82)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5567, 20318])).
% 8.03/5.86 tff(20320,plain,
% 8.03/5.86 (~always3(s81)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5511, 20319])).
% 8.03/5.86 tff(20321,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[5455, 20320])).
% 8.03/5.86 tff(20322,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[5399, 20321])).
% 8.03/5.86 tff(20323,plain,
% 8.03/5.86 (~always3(s78)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5343, 20322])).
% 8.03/5.86 tff(20324,plain,
% 8.03/5.86 (~always3(s77)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5287, 20323])).
% 8.03/5.86 tff(20325,plain,
% 8.03/5.86 (~always3(s76)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5231, 20324])).
% 8.03/5.86 tff(20326,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[5175, 20325])).
% 8.03/5.86 tff(20327,plain,
% 8.03/5.86 (~always3(s74)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5119, 20326])).
% 8.03/5.86 tff(20328,plain,
% 8.03/5.86 (~always3(s73)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5063, 20327])).
% 8.03/5.86 tff(20329,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[5007, 20328])).
% 8.03/5.86 tff(20330,plain,
% 8.03/5.86 (~always3(s71)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4951, 20329])).
% 8.03/5.86 tff(20331,plain,
% 8.03/5.86 (~always3(s70)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4895, 20330])).
% 8.03/5.86 tff(20332,plain,
% 8.03/5.86 (~always3(s69)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4839, 20331])).
% 8.03/5.86 tff(20333,plain,
% 8.03/5.86 (~always3(s68)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4783, 20332])).
% 8.03/5.86 tff(20334,plain,
% 8.03/5.86 (~always3(s67)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4727, 20333])).
% 8.03/5.86 tff(20335,plain,
% 8.03/5.86 (~always3(s66)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4671, 20334])).
% 8.03/5.86 tff(20336,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[4615, 20335])).
% 8.03/5.86 tff(20337,plain,
% 8.03/5.86 (~always3(s64)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4559, 20336])).
% 8.03/5.86 tff(20338,plain,
% 8.03/5.86 (~always3(s63)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4503, 20337])).
% 8.03/5.86 tff(20339,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[4447, 20338])).
% 8.03/5.86 tff(20340,plain,
% 8.03/5.86 (~always3(s61)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4391, 20339])).
% 8.03/5.86 tff(20341,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[4335, 20340])).
% 8.03/5.86 tff(20342,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[4279, 20341])).
% 8.03/5.86 tff(20343,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[4223, 20342])).
% 8.03/5.86 tff(20344,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[4167, 20343])).
% 8.03/5.86 tff(20345,plain,
% 8.03/5.86 (~always3(s56)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4111, 20344])).
% 8.03/5.86 tff(20346,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[4055, 20345])).
% 8.03/5.86 tff(20347,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[3999, 20346])).
% 8.03/5.86 tff(20348,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[3943, 20347])).
% 8.03/5.86 tff(20349,plain,
% 8.03/5.86 (~always3(s52)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3887, 20348])).
% 8.03/5.86 tff(20350,plain,
% 8.03/5.86 (~always3(s51)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3831, 20349])).
% 8.03/5.86 tff(20351,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[3775, 20350])).
% 8.03/5.86 tff(20352,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[3719, 20351])).
% 8.03/5.86 tff(20353,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[3663, 20352])).
% 8.03/5.86 tff(20354,plain,
% 8.03/5.86 (~always3(s47)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3607, 20353])).
% 8.03/5.86 tff(20355,plain,
% 8.03/5.86 (~always3(s46)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3551, 20354])).
% 8.03/5.86 tff(20356,plain,
% 8.03/5.86 (~always3(s45)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3495, 20355])).
% 8.03/5.86 tff(20357,plain,
% 8.03/5.86 (~always3(s44)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3439, 20356])).
% 8.03/5.86 tff(20358,plain,
% 8.03/5.86 (~always3(s43)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3383, 20357])).
% 8.03/5.86 tff(20359,plain,
% 8.03/5.86 (~always3(s42)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3327, 20358])).
% 8.03/5.86 tff(20360,plain,
% 8.03/5.86 (~always3(s41)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3271, 20359])).
% 8.03/5.86 tff(20361,plain,
% 8.03/5.86 (~always3(s40)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3215, 20360])).
% 8.03/5.86 tff(20362,plain,
% 8.03/5.86 (~always3(s39)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3159, 20361])).
% 8.03/5.86 tff(20363,plain,
% 8.03/5.86 (~node4(s39)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3147, 16, 20362])).
% 8.03/5.86 tff(20364,plain,
% 8.03/5.86 (~always3(s38)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3103, 20362])).
% 8.03/5.86 tff(20365,plain,
% 8.03/5.86 (~node4(s38)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3091, 16, 20364])).
% 8.03/5.86 tff(20366,plain,
% 8.03/5.86 (~always3(s37)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3016, 20364])).
% 8.03/5.86 tff(20367,plain,
% 8.03/5.86 (xuntil6(s37)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3004, 20366])).
% 8.03/5.86 tff(20368,plain,
% 8.03/5.86 (until5(s38)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3082, 20367])).
% 8.03/5.86 tff(20369,plain,
% 8.03/5.86 (xuntil6(s38) | node4(s38)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3132, 352, 20368])).
% 8.03/5.86 tff(20370,plain,
% 8.03/5.86 (xuntil6(s38)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20369, 20365])).
% 8.03/5.86 tff(20371,plain,
% 8.03/5.86 (until5(s39)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3138, 20370])).
% 8.03/5.86 tff(20372,plain,
% 8.03/5.86 (xuntil6(s39)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3188, 352, 20371, 20363])).
% 8.03/5.86 tff(20373,plain,
% 8.03/5.86 (until5(s40)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3194, 20372])).
% 8.03/5.86 tff(20374,plain,
% 8.03/5.86 (~node4(s40)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3203, 16, 20361])).
% 8.03/5.86 tff(20375,plain,
% 8.03/5.86 (xuntil6(s40) | (~until5(s40))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3244, 352, 20374])).
% 8.03/5.86 tff(20376,plain,
% 8.03/5.86 (xuntil6(s40)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20375, 20373])).
% 8.03/5.86 tff(20377,plain,
% 8.03/5.86 (until5(s41)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3250, 20376])).
% 8.03/5.86 tff(20378,plain,
% 8.03/5.86 (~node4(s41)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3259, 16, 20360])).
% 8.03/5.86 tff(20379,plain,
% 8.03/5.86 (xuntil6(s41) | (~until5(s41))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3300, 352, 20378])).
% 8.03/5.86 tff(20380,plain,
% 8.03/5.86 (xuntil6(s41)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20379, 20377])).
% 8.03/5.86 tff(20381,plain,
% 8.03/5.86 (until5(s42)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3306, 20380])).
% 8.03/5.86 tff(20382,plain,
% 8.03/5.86 (~node4(s42)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3315, 16, 20359])).
% 8.03/5.86 tff(20383,plain,
% 8.03/5.86 (xuntil6(s42) | (~until5(s42))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3356, 352, 20382])).
% 8.03/5.86 tff(20384,plain,
% 8.03/5.86 (xuntil6(s42)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20383, 20381])).
% 8.03/5.86 tff(20385,plain,
% 8.03/5.86 (until5(s43)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3362, 20384])).
% 8.03/5.86 tff(20386,plain,
% 8.03/5.86 (~node4(s43)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3371, 16, 20358])).
% 8.03/5.86 tff(20387,plain,
% 8.03/5.86 (xuntil6(s43) | (~until5(s43))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3412, 352, 20386])).
% 8.03/5.86 tff(20388,plain,
% 8.03/5.86 (xuntil6(s43)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20387, 20385])).
% 8.03/5.86 tff(20389,plain,
% 8.03/5.86 (until5(s44)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3418, 20388])).
% 8.03/5.86 tff(20390,plain,
% 8.03/5.86 (~node4(s44)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3427, 16, 20357])).
% 8.03/5.86 tff(20391,plain,
% 8.03/5.86 (xuntil6(s44) | (~until5(s44))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3468, 352, 20390])).
% 8.03/5.86 tff(20392,plain,
% 8.03/5.86 (xuntil6(s44)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20391, 20389])).
% 8.03/5.86 tff(20393,plain,
% 8.03/5.86 (until5(s45)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3474, 20392])).
% 8.03/5.86 tff(20394,plain,
% 8.03/5.86 (~node4(s45)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3483, 16, 20356])).
% 8.03/5.86 tff(20395,plain,
% 8.03/5.86 (xuntil6(s45) | (~until5(s45))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3524, 352, 20394])).
% 8.03/5.86 tff(20396,plain,
% 8.03/5.86 (xuntil6(s45)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20395, 20393])).
% 8.03/5.86 tff(20397,plain,
% 8.03/5.86 (until5(s46)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3530, 20396])).
% 8.03/5.86 tff(20398,plain,
% 8.03/5.86 (~node4(s46)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3539, 16, 20355])).
% 8.03/5.86 tff(20399,plain,
% 8.03/5.86 (xuntil6(s46) | (~until5(s46))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3580, 352, 20398])).
% 8.03/5.86 tff(20400,plain,
% 8.03/5.86 (xuntil6(s46)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20399, 20397])).
% 8.03/5.86 tff(20401,plain,
% 8.03/5.86 (until5(s47)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3586, 20400])).
% 8.03/5.86 tff(20402,plain,
% 8.03/5.86 (~node4(s47)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3595, 16, 20354])).
% 8.03/5.86 tff(20403,plain,
% 8.03/5.86 (xuntil6(s47) | (~until5(s47))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3636, 352, 20402])).
% 8.03/5.86 tff(20404,plain,
% 8.03/5.86 (xuntil6(s47)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20403, 20401])).
% 8.03/5.86 tff(20405,plain,
% 8.03/5.86 (until5(s48)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3642, 20404])).
% 8.03/5.86 tff(20406,plain,
% 8.03/5.86 (~node4(s48)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3651, 16, 20353])).
% 8.03/5.86 tff(20407,plain,
% 8.03/5.86 (xuntil6(s48) | (~until5(s48))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3692, 352, 20406])).
% 8.03/5.86 tff(20408,plain,
% 8.03/5.86 (xuntil6(s48)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20407, 20405])).
% 8.03/5.86 tff(20409,plain,
% 8.03/5.86 (until5(s49)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3698, 20408])).
% 8.03/5.86 tff(20410,plain,
% 8.03/5.86 (~node4(s49)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3707, 16, 20352])).
% 8.03/5.86 tff(20411,plain,
% 8.03/5.86 (xuntil6(s49) | (~until5(s49))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3748, 352, 20410])).
% 8.03/5.86 tff(20412,plain,
% 8.03/5.86 (xuntil6(s49)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20411, 20409])).
% 8.03/5.86 tff(20413,plain,
% 8.03/5.86 (until5(s50)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3754, 20412])).
% 8.03/5.86 tff(20414,plain,
% 8.03/5.86 (~node4(s50)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3763, 16, 20351])).
% 8.03/5.86 tff(20415,plain,
% 8.03/5.86 (xuntil6(s50) | (~until5(s50))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3804, 352, 20414])).
% 8.03/5.86 tff(20416,plain,
% 8.03/5.86 (xuntil6(s50)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20415, 20413])).
% 8.03/5.86 tff(20417,plain,
% 8.03/5.86 (until5(s51)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3810, 20416])).
% 8.03/5.86 tff(20418,plain,
% 8.03/5.86 (~node4(s51)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3819, 16, 20350])).
% 8.03/5.86 tff(20419,plain,
% 8.03/5.86 (xuntil6(s51) | (~until5(s51))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3860, 352, 20418])).
% 8.03/5.86 tff(20420,plain,
% 8.03/5.86 (xuntil6(s51)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20419, 20417])).
% 8.03/5.86 tff(20421,plain,
% 8.03/5.86 (until5(s52)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3866, 20420])).
% 8.03/5.86 tff(20422,plain,
% 8.03/5.86 (~node4(s52)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3875, 16, 20349])).
% 8.03/5.86 tff(20423,plain,
% 8.03/5.86 (xuntil6(s52) | (~until5(s52))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3916, 352, 20422])).
% 8.03/5.86 tff(20424,plain,
% 8.03/5.86 (xuntil6(s52)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20423, 20421])).
% 8.03/5.86 tff(20425,plain,
% 8.03/5.86 (until5(s53)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3922, 20424])).
% 8.03/5.86 tff(20426,plain,
% 8.03/5.86 (~node4(s53)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3931, 16, 20348])).
% 8.03/5.86 tff(20427,plain,
% 8.03/5.86 (xuntil6(s53) | (~until5(s53))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3972, 352, 20426])).
% 8.03/5.86 tff(20428,plain,
% 8.03/5.86 (xuntil6(s53)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20427, 20425])).
% 8.03/5.86 tff(20429,plain,
% 8.03/5.86 (until5(s54)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3978, 20428])).
% 8.03/5.86 tff(20430,plain,
% 8.03/5.86 (~node4(s54)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[3987, 16, 20347])).
% 8.03/5.86 tff(20431,plain,
% 8.03/5.86 (xuntil6(s54) | (~until5(s54))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4028, 352, 20430])).
% 8.03/5.86 tff(20432,plain,
% 8.03/5.86 (xuntil6(s54)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20431, 20429])).
% 8.03/5.86 tff(20433,plain,
% 8.03/5.86 (until5(s55)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4034, 20432])).
% 8.03/5.86 tff(20434,plain,
% 8.03/5.86 (~node4(s55)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4043, 16, 20346])).
% 8.03/5.86 tff(20435,plain,
% 8.03/5.86 (xuntil6(s55) | (~until5(s55))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4084, 352, 20434])).
% 8.03/5.86 tff(20436,plain,
% 8.03/5.86 (xuntil6(s55)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20435, 20433])).
% 8.03/5.86 tff(20437,plain,
% 8.03/5.86 (until5(s56)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4090, 20436])).
% 8.03/5.86 tff(20438,plain,
% 8.03/5.86 (~node4(s56)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4099, 16, 20345])).
% 8.03/5.86 tff(20439,plain,
% 8.03/5.86 (xuntil6(s56) | (~until5(s56))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4140, 352, 20438])).
% 8.03/5.86 tff(20440,plain,
% 8.03/5.86 (xuntil6(s56)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20439, 20437])).
% 8.03/5.86 tff(20441,plain,
% 8.03/5.86 (until5(s57)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4146, 20440])).
% 8.03/5.86 tff(20442,plain,
% 8.03/5.86 (~node4(s57)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4155, 16, 20344])).
% 8.03/5.86 tff(20443,plain,
% 8.03/5.86 (xuntil6(s57) | (~until5(s57))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4196, 352, 20442])).
% 8.03/5.86 tff(20444,plain,
% 8.03/5.86 (xuntil6(s57)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20443, 20441])).
% 8.03/5.86 tff(20445,plain,
% 8.03/5.86 (until5(s58)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4202, 20444])).
% 8.03/5.86 tff(20446,plain,
% 8.03/5.86 (~node4(s58)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4211, 16, 20343])).
% 8.03/5.86 tff(20447,plain,
% 8.03/5.86 (xuntil6(s58) | (~until5(s58))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4252, 352, 20446])).
% 8.03/5.86 tff(20448,plain,
% 8.03/5.86 (xuntil6(s58)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20447, 20445])).
% 8.03/5.86 tff(20449,plain,
% 8.03/5.86 (until5(s59)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4258, 20448])).
% 8.03/5.86 tff(20450,plain,
% 8.03/5.86 (~node4(s59)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4267, 16, 20342])).
% 8.03/5.86 tff(20451,plain,
% 8.03/5.86 (xuntil6(s59) | (~until5(s59))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4308, 352, 20450])).
% 8.03/5.86 tff(20452,plain,
% 8.03/5.86 (xuntil6(s59)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20451, 20449])).
% 8.03/5.86 tff(20453,plain,
% 8.03/5.86 (until5(s60)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4314, 20452])).
% 8.03/5.86 tff(20454,plain,
% 8.03/5.86 (~node4(s60)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4323, 16, 20341])).
% 8.03/5.86 tff(20455,plain,
% 8.03/5.86 (xuntil6(s60) | (~until5(s60))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4364, 352, 20454])).
% 8.03/5.86 tff(20456,plain,
% 8.03/5.86 (xuntil6(s60)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20455, 20453])).
% 8.03/5.86 tff(20457,plain,
% 8.03/5.86 (until5(s61)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4370, 20456])).
% 8.03/5.86 tff(20458,plain,
% 8.03/5.86 (~node4(s61)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4379, 16, 20340])).
% 8.03/5.86 tff(20459,plain,
% 8.03/5.86 (xuntil6(s61) | (~until5(s61))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4420, 352, 20458])).
% 8.03/5.86 tff(20460,plain,
% 8.03/5.86 (xuntil6(s61)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20459, 20457])).
% 8.03/5.86 tff(20461,plain,
% 8.03/5.86 (until5(s62)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4426, 20460])).
% 8.03/5.86 tff(20462,plain,
% 8.03/5.86 (~node4(s62)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4435, 16, 20339])).
% 8.03/5.86 tff(20463,plain,
% 8.03/5.86 (xuntil6(s62) | (~until5(s62))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4476, 352, 20462])).
% 8.03/5.86 tff(20464,plain,
% 8.03/5.86 (xuntil6(s62)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20463, 20461])).
% 8.03/5.86 tff(20465,plain,
% 8.03/5.86 (until5(s63)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4482, 20464])).
% 8.03/5.86 tff(20466,plain,
% 8.03/5.86 (~node4(s63)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4491, 16, 20338])).
% 8.03/5.86 tff(20467,plain,
% 8.03/5.86 (xuntil6(s63) | (~until5(s63))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4532, 352, 20466])).
% 8.03/5.86 tff(20468,plain,
% 8.03/5.86 (xuntil6(s63)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20467, 20465])).
% 8.03/5.86 tff(20469,plain,
% 8.03/5.86 (until5(s64)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4538, 20468])).
% 8.03/5.86 tff(20470,plain,
% 8.03/5.86 (~node4(s64)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4547, 16, 20337])).
% 8.03/5.86 tff(20471,plain,
% 8.03/5.86 (xuntil6(s64) | (~until5(s64))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4588, 352, 20470])).
% 8.03/5.86 tff(20472,plain,
% 8.03/5.86 (xuntil6(s64)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20471, 20469])).
% 8.03/5.86 tff(20473,plain,
% 8.03/5.86 (until5(s65)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4594, 20472])).
% 8.03/5.86 tff(20474,plain,
% 8.03/5.86 (~node4(s65)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4603, 16, 20336])).
% 8.03/5.86 tff(20475,plain,
% 8.03/5.86 (xuntil6(s65) | (~until5(s65))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4644, 352, 20474])).
% 8.03/5.86 tff(20476,plain,
% 8.03/5.86 (xuntil6(s65)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20475, 20473])).
% 8.03/5.86 tff(20477,plain,
% 8.03/5.86 (until5(s66)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4650, 20476])).
% 8.03/5.86 tff(20478,plain,
% 8.03/5.86 (~node4(s66)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4659, 16, 20335])).
% 8.03/5.86 tff(20479,plain,
% 8.03/5.86 (xuntil6(s66) | (~until5(s66))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4700, 352, 20478])).
% 8.03/5.86 tff(20480,plain,
% 8.03/5.86 (xuntil6(s66)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20479, 20477])).
% 8.03/5.86 tff(20481,plain,
% 8.03/5.86 (until5(s67)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4706, 20480])).
% 8.03/5.86 tff(20482,plain,
% 8.03/5.86 (~node4(s67)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4715, 16, 20334])).
% 8.03/5.86 tff(20483,plain,
% 8.03/5.86 (xuntil6(s67) | (~until5(s67))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4756, 352, 20482])).
% 8.03/5.86 tff(20484,plain,
% 8.03/5.86 (xuntil6(s67)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20483, 20481])).
% 8.03/5.86 tff(20485,plain,
% 8.03/5.86 (until5(s68)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4762, 20484])).
% 8.03/5.86 tff(20486,plain,
% 8.03/5.86 (~node4(s68)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4771, 16, 20333])).
% 8.03/5.86 tff(20487,plain,
% 8.03/5.86 (xuntil6(s68) | (~until5(s68))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4812, 352, 20486])).
% 8.03/5.86 tff(20488,plain,
% 8.03/5.86 (xuntil6(s68)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20487, 20485])).
% 8.03/5.86 tff(20489,plain,
% 8.03/5.86 (until5(s69)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4818, 20488])).
% 8.03/5.86 tff(20490,plain,
% 8.03/5.86 (~node4(s69)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4827, 16, 20332])).
% 8.03/5.86 tff(20491,plain,
% 8.03/5.86 (xuntil6(s69) | (~until5(s69))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4868, 352, 20490])).
% 8.03/5.86 tff(20492,plain,
% 8.03/5.86 (xuntil6(s69)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20491, 20489])).
% 8.03/5.86 tff(20493,plain,
% 8.03/5.86 (until5(s70)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4874, 20492])).
% 8.03/5.86 tff(20494,plain,
% 8.03/5.86 (~node4(s70)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4883, 16, 20331])).
% 8.03/5.86 tff(20495,plain,
% 8.03/5.86 (xuntil6(s70) | (~until5(s70))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4924, 352, 20494])).
% 8.03/5.86 tff(20496,plain,
% 8.03/5.86 (xuntil6(s70)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20495, 20493])).
% 8.03/5.86 tff(20497,plain,
% 8.03/5.86 (until5(s71)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4930, 20496])).
% 8.03/5.86 tff(20498,plain,
% 8.03/5.86 (~node4(s71)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4939, 16, 20330])).
% 8.03/5.86 tff(20499,plain,
% 8.03/5.86 (xuntil6(s71) | (~until5(s71))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4980, 352, 20498])).
% 8.03/5.86 tff(20500,plain,
% 8.03/5.86 (xuntil6(s71)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20499, 20497])).
% 8.03/5.86 tff(20501,plain,
% 8.03/5.86 (until5(s72)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4986, 20500])).
% 8.03/5.86 tff(20502,plain,
% 8.03/5.86 (~node4(s72)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[4995, 16, 20329])).
% 8.03/5.86 tff(20503,plain,
% 8.03/5.86 (xuntil6(s72) | (~until5(s72))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5036, 352, 20502])).
% 8.03/5.86 tff(20504,plain,
% 8.03/5.86 (xuntil6(s72)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20503, 20501])).
% 8.03/5.86 tff(20505,plain,
% 8.03/5.86 (until5(s73)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5042, 20504])).
% 8.03/5.86 tff(20506,plain,
% 8.03/5.86 (~node4(s73)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5051, 16, 20328])).
% 8.03/5.86 tff(20507,plain,
% 8.03/5.86 (xuntil6(s73) | (~until5(s73))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5092, 352, 20506])).
% 8.03/5.86 tff(20508,plain,
% 8.03/5.86 (xuntil6(s73)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20507, 20505])).
% 8.03/5.86 tff(20509,plain,
% 8.03/5.86 (until5(s74)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5098, 20508])).
% 8.03/5.86 tff(20510,plain,
% 8.03/5.86 (~node4(s74)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5107, 16, 20327])).
% 8.03/5.86 tff(20511,plain,
% 8.03/5.86 (xuntil6(s74) | (~until5(s74))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5148, 352, 20510])).
% 8.03/5.86 tff(20512,plain,
% 8.03/5.86 (xuntil6(s74)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20511, 20509])).
% 8.03/5.86 tff(20513,plain,
% 8.03/5.86 (until5(s75)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5154, 20512])).
% 8.03/5.86 tff(20514,plain,
% 8.03/5.86 (~node4(s75)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5163, 16, 20326])).
% 8.03/5.86 tff(20515,plain,
% 8.03/5.86 (xuntil6(s75) | (~until5(s75))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5204, 352, 20514])).
% 8.03/5.86 tff(20516,plain,
% 8.03/5.86 (xuntil6(s75)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20515, 20513])).
% 8.03/5.86 tff(20517,plain,
% 8.03/5.86 (until5(s76)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5210, 20516])).
% 8.03/5.86 tff(20518,plain,
% 8.03/5.86 (~node4(s76)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5219, 16, 20325])).
% 8.03/5.86 tff(20519,plain,
% 8.03/5.86 (xuntil6(s76) | (~until5(s76))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5260, 352, 20518])).
% 8.03/5.86 tff(20520,plain,
% 8.03/5.86 (xuntil6(s76)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20519, 20517])).
% 8.03/5.86 tff(20521,plain,
% 8.03/5.86 (until5(s77)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5266, 20520])).
% 8.03/5.86 tff(20522,plain,
% 8.03/5.86 (~node4(s77)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5275, 16, 20324])).
% 8.03/5.86 tff(20523,plain,
% 8.03/5.86 (xuntil6(s77) | (~until5(s77))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5316, 352, 20522])).
% 8.03/5.86 tff(20524,plain,
% 8.03/5.86 (xuntil6(s77)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20523, 20521])).
% 8.03/5.86 tff(20525,plain,
% 8.03/5.86 (until5(s78)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5322, 20524])).
% 8.03/5.86 tff(20526,plain,
% 8.03/5.86 (~node4(s78)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5331, 16, 20323])).
% 8.03/5.86 tff(20527,plain,
% 8.03/5.86 (xuntil6(s78) | (~until5(s78))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5372, 352, 20526])).
% 8.03/5.86 tff(20528,plain,
% 8.03/5.86 (xuntil6(s78)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20527, 20525])).
% 8.03/5.86 tff(20529,plain,
% 8.03/5.86 (until5(s79)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5378, 20528])).
% 8.03/5.86 tff(20530,plain,
% 8.03/5.86 (~node4(s79)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5387, 16, 20322])).
% 8.03/5.86 tff(20531,plain,
% 8.03/5.86 (xuntil6(s79) | (~until5(s79))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5428, 352, 20530])).
% 8.03/5.86 tff(20532,plain,
% 8.03/5.86 (xuntil6(s79)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20531, 20529])).
% 8.03/5.86 tff(20533,plain,
% 8.03/5.86 (until5(s80)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5434, 20532])).
% 8.03/5.86 tff(20534,plain,
% 8.03/5.86 (~node4(s80)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5443, 16, 20321])).
% 8.03/5.86 tff(20535,plain,
% 8.03/5.86 (xuntil6(s80) | (~until5(s80))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5484, 352, 20534])).
% 8.03/5.86 tff(20536,plain,
% 8.03/5.86 (xuntil6(s80)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20535, 20533])).
% 8.03/5.86 tff(20537,plain,
% 8.03/5.86 (until5(s81)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5490, 20536])).
% 8.03/5.86 tff(20538,plain,
% 8.03/5.86 (~node4(s81)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5499, 16, 20320])).
% 8.03/5.86 tff(20539,plain,
% 8.03/5.86 (xuntil6(s81) | (~until5(s81))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5540, 352, 20538])).
% 8.03/5.86 tff(20540,plain,
% 8.03/5.86 (xuntil6(s81)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20539, 20537])).
% 8.03/5.86 tff(20541,plain,
% 8.03/5.86 (until5(s82)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5546, 20540])).
% 8.03/5.86 tff(20542,plain,
% 8.03/5.86 (~node4(s82)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5555, 16, 20319])).
% 8.03/5.86 tff(20543,plain,
% 8.03/5.86 (xuntil6(s82) | (~until5(s82))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5596, 352, 20542])).
% 8.03/5.86 tff(20544,plain,
% 8.03/5.86 (xuntil6(s82)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20543, 20541])).
% 8.03/5.86 tff(20545,plain,
% 8.03/5.86 (until5(s83)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5602, 20544])).
% 8.03/5.86 tff(20546,plain,
% 8.03/5.86 (~node4(s83)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5611, 16, 20318])).
% 8.03/5.86 tff(20547,plain,
% 8.03/5.86 (xuntil6(s83) | (~until5(s83))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5652, 352, 20546])).
% 8.03/5.86 tff(20548,plain,
% 8.03/5.86 (xuntil6(s83)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20547, 20545])).
% 8.03/5.86 tff(20549,plain,
% 8.03/5.86 (until5(s84)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5658, 20548])).
% 8.03/5.86 tff(20550,plain,
% 8.03/5.86 (~node4(s84)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5667, 16, 20317])).
% 8.03/5.86 tff(20551,plain,
% 8.03/5.86 (xuntil6(s84) | (~until5(s84))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5708, 352, 20550])).
% 8.03/5.86 tff(20552,plain,
% 8.03/5.86 (xuntil6(s84)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20551, 20549])).
% 8.03/5.86 tff(20553,plain,
% 8.03/5.86 (until5(s85)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5714, 20552])).
% 8.03/5.86 tff(20554,plain,
% 8.03/5.86 (~node4(s85)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5723, 16, 20316])).
% 8.03/5.86 tff(20555,plain,
% 8.03/5.86 (xuntil6(s85) | (~until5(s85))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5758, 352, 20554])).
% 8.03/5.86 tff(20556,plain,
% 8.03/5.86 (xuntil6(s85)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20555, 20553])).
% 8.03/5.86 tff(20557,plain,
% 8.03/5.86 (until5(s86)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5764, 20556])).
% 8.03/5.86 tff(20558,plain,
% 8.03/5.86 (~node4(s86)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[126, 16, 20315])).
% 8.03/5.86 tff(20559,plain,
% 8.03/5.86 (xuntil6(s86) | (~until5(s86))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5785, 352, 20558])).
% 8.03/5.86 tff(20560,plain,
% 8.03/5.86 (xuntil6(s86)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20559, 20557])).
% 8.03/5.86 tff(20561,plain,
% 8.03/5.86 (until5(s87)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5972, 20560])).
% 8.03/5.86 tff(20562,plain,
% 8.03/5.86 (~node4(s87)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[5981, 16, 20314])).
% 8.03/5.86 tff(20563,plain,
% 8.03/5.86 (xuntil6(s87) | (~until5(s87))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6022, 352, 20562])).
% 8.03/5.86 tff(20564,plain,
% 8.03/5.86 (xuntil6(s87)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20563, 20561])).
% 8.03/5.86 tff(20565,plain,
% 8.03/5.86 (until5(s88)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6028, 20564])).
% 8.03/5.86 tff(20566,plain,
% 8.03/5.86 (~node4(s88)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6037, 16, 20313])).
% 8.03/5.86 tff(20567,plain,
% 8.03/5.86 (xuntil6(s88) | (~until5(s88))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6078, 352, 20566])).
% 8.03/5.86 tff(20568,plain,
% 8.03/5.86 (xuntil6(s88)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20567, 20565])).
% 8.03/5.86 tff(20569,plain,
% 8.03/5.86 (until5(s89)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6084, 20568])).
% 8.03/5.86 tff(20570,plain,
% 8.03/5.86 (~node4(s89)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6093, 16, 20312])).
% 8.03/5.86 tff(20571,plain,
% 8.03/5.86 (xuntil6(s89) | (~until5(s89))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6134, 352, 20570])).
% 8.03/5.86 tff(20572,plain,
% 8.03/5.86 (xuntil6(s89)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20571, 20569])).
% 8.03/5.86 tff(20573,plain,
% 8.03/5.86 (until5(s90)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6140, 20572])).
% 8.03/5.86 tff(20574,plain,
% 8.03/5.86 (~node4(s90)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6226, 16, 20311])).
% 8.03/5.86 tff(20575,plain,
% 8.03/5.86 (xuntil6(s90) | (~until5(s90))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6251, 352, 20574])).
% 8.03/5.86 tff(20576,plain,
% 8.03/5.86 (xuntil6(s90)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20575, 20573])).
% 8.03/5.86 tff(20577,plain,
% 8.03/5.86 (until5(s91)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6244, 20576])).
% 8.03/5.86 tff(20578,plain,
% 8.03/5.86 (~node4(s91)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6230, 16, 20310])).
% 8.03/5.86 tff(20579,plain,
% 8.03/5.86 (xuntil6(s91) | (~until5(s91))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6238, 352, 20578])).
% 8.03/5.86 tff(20580,plain,
% 8.03/5.86 (xuntil6(s91)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20579, 20577])).
% 8.03/5.86 tff(20581,plain,
% 8.03/5.86 (until5(s92)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6209, 20580])).
% 8.03/5.86 tff(20582,plain,
% 8.03/5.86 (~node4(s92)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6146, 16, 20309])).
% 8.03/5.86 tff(20583,plain,
% 8.03/5.86 (xuntil6(s92) | (~until5(s92))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6201, 352, 20582])).
% 8.03/5.86 tff(20584,plain,
% 8.03/5.86 (xuntil6(s92)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20583, 20581])).
% 8.03/5.86 tff(20585,plain,
% 8.03/5.86 (until5(s93)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6577, 20584])).
% 8.03/5.86 tff(20586,plain,
% 8.03/5.86 (~node4(s93)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6586, 16, 20308])).
% 8.03/5.86 tff(20587,plain,
% 8.03/5.86 (xuntil6(s93) | (~until5(s93))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6627, 352, 20586])).
% 8.03/5.86 tff(20588,plain,
% 8.03/5.86 (xuntil6(s93)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20587, 20585])).
% 8.03/5.86 tff(20589,plain,
% 8.03/5.86 (until5(s94)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6633, 20588])).
% 8.03/5.86 tff(20590,plain,
% 8.03/5.86 (~node4(s94)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6639, 16, 20307])).
% 8.03/5.86 tff(20591,plain,
% 8.03/5.86 (xuntil6(s94) | (~until5(s94))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6646, 352, 20590])).
% 8.03/5.86 tff(20592,plain,
% 8.03/5.86 (xuntil6(s94)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20591, 20589])).
% 8.03/5.86 tff(20593,plain,
% 8.03/5.86 (until5(s95)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6707, 20592])).
% 8.03/5.86 tff(20594,plain,
% 8.03/5.86 (~node4(s95)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6716, 16, 20306])).
% 8.03/5.86 tff(20595,plain,
% 8.03/5.86 (xuntil6(s95) | (~until5(s95))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6757, 352, 20594])).
% 8.03/5.86 tff(20596,plain,
% 8.03/5.86 (xuntil6(s95)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20595, 20593])).
% 8.03/5.86 tff(20597,plain,
% 8.03/5.86 (until5(s96)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6763, 20596])).
% 8.03/5.86 tff(20598,plain,
% 8.03/5.86 (~node4(s96)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6772, 16, 20305])).
% 8.03/5.86 tff(20599,plain,
% 8.03/5.86 (xuntil6(s96) | (~until5(s96))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6813, 352, 20598])).
% 8.03/5.86 tff(20600,plain,
% 8.03/5.86 (xuntil6(s96)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20599, 20597])).
% 8.03/5.86 tff(20601,plain,
% 8.03/5.86 (until5(s97)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6819, 20600])).
% 8.03/5.86 tff(20602,plain,
% 8.03/5.86 (~node4(s97)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6828, 16, 20304])).
% 8.03/5.86 tff(20603,plain,
% 8.03/5.86 (xuntil6(s97) | (~until5(s97))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6869, 352, 20602])).
% 8.03/5.86 tff(20604,plain,
% 8.03/5.86 (xuntil6(s97)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20603, 20601])).
% 8.03/5.86 tff(20605,plain,
% 8.03/5.86 (until5(s98)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6875, 20604])).
% 8.03/5.86 tff(20606,plain,
% 8.03/5.86 (~node4(s98)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6884, 16, 20303])).
% 8.03/5.86 tff(20607,plain,
% 8.03/5.86 (xuntil6(s98) | (~until5(s98))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6925, 352, 20606])).
% 8.03/5.86 tff(20608,plain,
% 8.03/5.86 (xuntil6(s98)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20607, 20605])).
% 8.03/5.86 tff(20609,plain,
% 8.03/5.86 (until5(s99)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6931, 20608])).
% 8.03/5.86 tff(20610,plain,
% 8.03/5.86 (~node4(s99)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6940, 16, 20302])).
% 8.03/5.86 tff(20611,plain,
% 8.03/5.86 (xuntil6(s99) | (~until5(s99))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6981, 352, 20610])).
% 8.03/5.86 tff(20612,plain,
% 8.03/5.86 (xuntil6(s99)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20611, 20609])).
% 8.03/5.86 tff(20613,plain,
% 8.03/5.86 (until5(s100)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6987, 20612])).
% 8.03/5.86 tff(20614,plain,
% 8.03/5.86 (~node4(s100)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[6996, 16, 20301])).
% 8.03/5.86 tff(20615,plain,
% 8.03/5.86 (xuntil6(s100) | (~until5(s100))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7037, 352, 20614])).
% 8.03/5.86 tff(20616,plain,
% 8.03/5.86 (xuntil6(s100)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20615, 20613])).
% 8.03/5.86 tff(20617,plain,
% 8.03/5.86 (until5(s101)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7043, 20616])).
% 8.03/5.86 tff(20618,plain,
% 8.03/5.86 (~node4(s101)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7052, 16, 20300])).
% 8.03/5.86 tff(20619,plain,
% 8.03/5.86 (xuntil6(s101) | (~until5(s101))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7093, 352, 20618])).
% 8.03/5.86 tff(20620,plain,
% 8.03/5.86 (xuntil6(s101)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20619, 20617])).
% 8.03/5.86 tff(20621,plain,
% 8.03/5.86 (until5(s102)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7099, 20620])).
% 8.03/5.86 tff(20622,plain,
% 8.03/5.86 (~node4(s102)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7108, 16, 20299])).
% 8.03/5.86 tff(20623,plain,
% 8.03/5.86 (xuntil6(s102) | (~until5(s102))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7149, 352, 20622])).
% 8.03/5.86 tff(20624,plain,
% 8.03/5.86 (xuntil6(s102)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20623, 20621])).
% 8.03/5.86 tff(20625,plain,
% 8.03/5.86 (until5(s103)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7155, 20624])).
% 8.03/5.86 tff(20626,plain,
% 8.03/5.86 (~node4(s103)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7173, 16, 20298])).
% 8.03/5.86 tff(20627,plain,
% 8.03/5.86 (xuntil6(s103) | (~until5(s103))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7197, 352, 20626])).
% 8.03/5.86 tff(20628,plain,
% 8.03/5.86 (xuntil6(s103)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20627, 20625])).
% 8.03/5.86 tff(20629,plain,
% 8.03/5.86 (until5(s104)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7190, 20628])).
% 8.03/5.86 tff(20630,plain,
% 8.03/5.86 (~node4(s104)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7177, 16, 20297])).
% 8.03/5.86 tff(20631,plain,
% 8.03/5.86 (xuntil6(s104) | (~until5(s104))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7184, 352, 20630])).
% 8.03/5.86 tff(20632,plain,
% 8.03/5.86 (xuntil6(s104)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20631, 20629])).
% 8.03/5.86 tff(20633,plain,
% 8.03/5.86 (until5(s105)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7316, 20632])).
% 8.03/5.86 tff(20634,plain,
% 8.03/5.86 (~node4(s105)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7325, 16, 20296])).
% 8.03/5.86 tff(20635,plain,
% 8.03/5.86 (xuntil6(s105) | (~until5(s105))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7366, 352, 20634])).
% 8.03/5.86 tff(20636,plain,
% 8.03/5.86 (xuntil6(s105)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20635, 20633])).
% 8.03/5.86 tff(20637,plain,
% 8.03/5.86 (until5(s106)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7372, 20636])).
% 8.03/5.86 tff(20638,plain,
% 8.03/5.86 (~node4(s106)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7381, 16, 20295])).
% 8.03/5.86 tff(20639,plain,
% 8.03/5.86 (xuntil6(s106) | (~until5(s106))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7422, 352, 20638])).
% 8.03/5.86 tff(20640,plain,
% 8.03/5.86 (xuntil6(s106)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20639, 20637])).
% 8.03/5.86 tff(20641,plain,
% 8.03/5.86 (until5(s107)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7428, 20640])).
% 8.03/5.86 tff(20642,plain,
% 8.03/5.86 (~node4(s107)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7437, 16, 20294])).
% 8.03/5.86 tff(20643,plain,
% 8.03/5.86 (xuntil6(s107) | (~until5(s107))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7478, 352, 20642])).
% 8.03/5.86 tff(20644,plain,
% 8.03/5.86 (xuntil6(s107)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20643, 20641])).
% 8.03/5.86 tff(20645,plain,
% 8.03/5.86 (until5(s108)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7484, 20644])).
% 8.03/5.86 tff(20646,plain,
% 8.03/5.86 (~node4(s108)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7493, 16, 20293])).
% 8.03/5.86 tff(20647,plain,
% 8.03/5.86 (xuntil6(s108) | (~until5(s108))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7534, 352, 20646])).
% 8.03/5.86 tff(20648,plain,
% 8.03/5.86 (xuntil6(s108)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20647, 20645])).
% 8.03/5.86 tff(20649,plain,
% 8.03/5.86 (until5(s109)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7540, 20648])).
% 8.03/5.86 tff(20650,plain,
% 8.03/5.86 (~node4(s109)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7549, 16, 20292])).
% 8.03/5.86 tff(20651,plain,
% 8.03/5.86 (xuntil6(s109) | (~until5(s109))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7590, 352, 20650])).
% 8.03/5.86 tff(20652,plain,
% 8.03/5.86 (xuntil6(s109)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20651, 20649])).
% 8.03/5.86 tff(20653,plain,
% 8.03/5.86 (until5(s110)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7596, 20652])).
% 8.03/5.86 tff(20654,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7605, 16, 20291])).
% 8.03/5.86 tff(20655,plain,
% 8.03/5.86 (xuntil6(s110) | (~until5(s110))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7646, 352, 20654])).
% 8.03/5.86 tff(20656,plain,
% 8.03/5.86 (xuntil6(s110)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20655, 20653])).
% 8.03/5.86 tff(20657,plain,
% 8.03/5.86 (until5(s111)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7652, 20656])).
% 8.03/5.86 tff(20658,plain,
% 8.03/5.86 (~node4(s111)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7661, 16, 20290])).
% 8.03/5.86 tff(20659,plain,
% 8.03/5.86 (xuntil6(s111) | (~until5(s111))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7702, 352, 20658])).
% 8.03/5.86 tff(20660,plain,
% 8.03/5.86 (xuntil6(s111)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20659, 20657])).
% 8.03/5.86 tff(20661,plain,
% 8.03/5.86 (until5(s112)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7708, 20660])).
% 8.03/5.86 tff(20662,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[7734, 16, 20289])).
% 8.03/5.86 tff(20663,plain,
% 8.03/5.86 (xuntil6(s112) | (~until5(s112))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7785, 352, 20662])).
% 8.03/5.86 tff(20664,plain,
% 8.03/5.86 (xuntil6(s112)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20663, 20661])).
% 8.03/5.86 tff(20665,plain,
% 8.03/5.86 (until5(s113)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7791, 20664])).
% 8.03/5.86 tff(20666,plain,
% 8.03/5.86 (~node4(s113)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7800, 16, 20288])).
% 8.03/5.86 tff(20667,plain,
% 8.03/5.86 (xuntil6(s113) | (~until5(s113))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7841, 352, 20666])).
% 8.03/5.86 tff(20668,plain,
% 8.03/5.86 (xuntil6(s113)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20667, 20665])).
% 8.03/5.86 tff(20669,plain,
% 8.03/5.86 (until5(s114)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7847, 20668])).
% 8.03/5.86 tff(20670,plain,
% 8.03/5.86 (~node4(s114)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7856, 16, 20287])).
% 8.03/5.86 tff(20671,plain,
% 8.03/5.86 (xuntil6(s114) | (~until5(s114))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7897, 352, 20670])).
% 8.03/5.86 tff(20672,plain,
% 8.03/5.86 (xuntil6(s114)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20671, 20669])).
% 8.03/5.86 tff(20673,plain,
% 8.03/5.86 (until5(s115)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7903, 20672])).
% 8.03/5.86 tff(20674,plain,
% 8.03/5.86 (~node4(s115)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7912, 16, 20286])).
% 8.03/5.86 tff(20675,plain,
% 8.03/5.86 (xuntil6(s115) | (~until5(s115))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7953, 352, 20674])).
% 8.03/5.86 tff(20676,plain,
% 8.03/5.86 (xuntil6(s115)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20675, 20673])).
% 8.03/5.86 tff(20677,plain,
% 8.03/5.86 (until5(s116)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7959, 20676])).
% 8.03/5.86 tff(20678,plain,
% 8.03/5.86 (~node4(s116)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[7968, 16, 20285])).
% 8.03/5.86 tff(20679,plain,
% 8.03/5.86 (xuntil6(s116) | (~until5(s116))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8009, 352, 20678])).
% 8.03/5.86 tff(20680,plain,
% 8.03/5.86 (xuntil6(s116)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20679, 20677])).
% 8.03/5.86 tff(20681,plain,
% 8.03/5.86 (until5(s117)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8015, 20680])).
% 8.03/5.86 tff(20682,plain,
% 8.03/5.86 (~node4(s117)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8024, 16, 20284])).
% 8.03/5.86 tff(20683,plain,
% 8.03/5.86 (xuntil6(s117) | (~until5(s117))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8065, 352, 20682])).
% 8.03/5.86 tff(20684,plain,
% 8.03/5.86 (xuntil6(s117)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20683, 20681])).
% 8.03/5.86 tff(20685,plain,
% 8.03/5.86 (until5(s118)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8071, 20684])).
% 8.03/5.86 tff(20686,plain,
% 8.03/5.86 (~node4(s118)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8080, 16, 20283])).
% 8.03/5.86 tff(20687,plain,
% 8.03/5.86 (xuntil6(s118) | (~until5(s118))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8121, 352, 20686])).
% 8.03/5.86 tff(20688,plain,
% 8.03/5.86 (xuntil6(s118)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20687, 20685])).
% 8.03/5.86 tff(20689,plain,
% 8.03/5.86 (until5(s119)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8127, 20688])).
% 8.03/5.86 tff(20690,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[8136, 16, 20282])).
% 8.03/5.86 tff(20691,plain,
% 8.03/5.86 (xuntil6(s119) | (~until5(s119))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8177, 352, 20690])).
% 8.03/5.86 tff(20692,plain,
% 8.03/5.86 (xuntil6(s119)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20691, 20689])).
% 8.03/5.86 tff(20693,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[8183, 20692])).
% 8.03/5.86 tff(20694,plain,
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% 8.03/5.86 inference(unit_resolution,[status(thm)],[8192, 16, 20281])).
% 8.03/5.86 tff(20695,plain,
% 8.03/5.86 (xuntil6(s120) | (~until5(s120))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8233, 352, 20694])).
% 8.03/5.86 tff(20696,plain,
% 8.03/5.86 (xuntil6(s120)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20695, 20693])).
% 8.03/5.86 tff(20697,plain,
% 8.03/5.86 (until5(s121)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8239, 20696])).
% 8.03/5.86 tff(20698,plain,
% 8.03/5.86 (~node4(s121)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8248, 16, 20280])).
% 8.03/5.86 tff(20699,plain,
% 8.03/5.86 (xuntil6(s121) | (~until5(s121))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8289, 352, 20698])).
% 8.03/5.86 tff(20700,plain,
% 8.03/5.86 (xuntil6(s121)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20699, 20697])).
% 8.03/5.86 tff(20701,plain,
% 8.03/5.86 (until5(s122)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8295, 20700])).
% 8.03/5.86 tff(20702,plain,
% 8.03/5.86 (~node4(s122)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8304, 16, 20279])).
% 8.03/5.86 tff(20703,plain,
% 8.03/5.86 (xuntil6(s122) | (~until5(s122))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8345, 352, 20702])).
% 8.03/5.86 tff(20704,plain,
% 8.03/5.86 (xuntil6(s122)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20703, 20701])).
% 8.03/5.86 tff(20705,plain,
% 8.03/5.86 (until5(s123)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8351, 20704])).
% 8.03/5.86 tff(20706,plain,
% 8.03/5.86 (~node4(s123)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8360, 16, 20278])).
% 8.03/5.86 tff(20707,plain,
% 8.03/5.86 (xuntil6(s123) | (~until5(s123))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8401, 352, 20706])).
% 8.03/5.86 tff(20708,plain,
% 8.03/5.86 (xuntil6(s123)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20707, 20705])).
% 8.03/5.86 tff(20709,plain,
% 8.03/5.86 (until5(s124)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8407, 20708])).
% 8.03/5.86 tff(20710,plain,
% 8.03/5.86 (~node4(s124)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8416, 16, 20277])).
% 8.03/5.86 tff(20711,plain,
% 8.03/5.86 (xuntil6(s124) | (~until5(s124))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8457, 352, 20710])).
% 8.03/5.86 tff(20712,plain,
% 8.03/5.86 (xuntil6(s124)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20711, 20709])).
% 8.03/5.86 tff(20713,plain,
% 8.03/5.86 (until5(s125)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8463, 20712])).
% 8.03/5.86 tff(20714,plain,
% 8.03/5.86 (~node4(s125)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8472, 16, 20276])).
% 8.03/5.86 tff(20715,plain,
% 8.03/5.86 (xuntil6(s125) | (~until5(s125))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8513, 352, 20714])).
% 8.03/5.86 tff(20716,plain,
% 8.03/5.86 (xuntil6(s125)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20715, 20713])).
% 8.03/5.86 tff(20717,plain,
% 8.03/5.86 (until5(s126)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8519, 20716])).
% 8.03/5.86 tff(20718,plain,
% 8.03/5.86 (~node4(s126)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8528, 16, 20275])).
% 8.03/5.86 tff(20719,plain,
% 8.03/5.86 (xuntil6(s126) | (~until5(s126))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8569, 352, 20718])).
% 8.03/5.86 tff(20720,plain,
% 8.03/5.86 (xuntil6(s126)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20719, 20717])).
% 8.03/5.86 tff(20721,plain,
% 8.03/5.86 (until5(s127)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8575, 20720])).
% 8.03/5.86 tff(20722,plain,
% 8.03/5.86 (~node4(s127)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8584, 16, 20274])).
% 8.03/5.86 tff(20723,plain,
% 8.03/5.86 (xuntil6(s127) | (~until5(s127))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8625, 352, 20722])).
% 8.03/5.86 tff(20724,plain,
% 8.03/5.86 (xuntil6(s127)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20723, 20721])).
% 8.03/5.86 tff(20725,plain,
% 8.03/5.86 (until5(s128)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8631, 20724])).
% 8.03/5.86 tff(20726,plain,
% 8.03/5.86 (~node4(s128)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8640, 16, 20273])).
% 8.03/5.86 tff(20727,plain,
% 8.03/5.86 (xuntil6(s128) | (~until5(s128))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8681, 352, 20726])).
% 8.03/5.86 tff(20728,plain,
% 8.03/5.86 (xuntil6(s128)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20727, 20725])).
% 8.03/5.86 tff(20729,plain,
% 8.03/5.86 (until5(s129)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8687, 20728])).
% 8.03/5.86 tff(20730,plain,
% 8.03/5.86 (~node4(s129)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8696, 16, 20272])).
% 8.03/5.86 tff(20731,plain,
% 8.03/5.86 (xuntil6(s129) | (~until5(s129))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8737, 352, 20730])).
% 8.03/5.86 tff(20732,plain,
% 8.03/5.86 (xuntil6(s129)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20731, 20729])).
% 8.03/5.86 tff(20733,plain,
% 8.03/5.86 (until5(s130)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8743, 20732])).
% 8.03/5.86 tff(20734,plain,
% 8.03/5.86 (~node4(s130)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8752, 16, 20271])).
% 8.03/5.86 tff(20735,plain,
% 8.03/5.86 (xuntil6(s130) | (~until5(s130))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8793, 352, 20734])).
% 8.03/5.86 tff(20736,plain,
% 8.03/5.86 (xuntil6(s130)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20735, 20733])).
% 8.03/5.86 tff(20737,plain,
% 8.03/5.86 (until5(s131)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8799, 20736])).
% 8.03/5.86 tff(20738,plain,
% 8.03/5.86 (~node4(s131)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8808, 16, 20270])).
% 8.03/5.86 tff(20739,plain,
% 8.03/5.86 (xuntil6(s131) | (~until5(s131))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8849, 352, 20738])).
% 8.03/5.86 tff(20740,plain,
% 8.03/5.86 (xuntil6(s131)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20739, 20737])).
% 8.03/5.86 tff(20741,plain,
% 8.03/5.86 (until5(s132)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8855, 20740])).
% 8.03/5.86 tff(20742,plain,
% 8.03/5.86 (~node4(s132)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8864, 16, 20269])).
% 8.03/5.86 tff(20743,plain,
% 8.03/5.86 (xuntil6(s132) | (~until5(s132))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8905, 352, 20742])).
% 8.03/5.86 tff(20744,plain,
% 8.03/5.86 (xuntil6(s132)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20743, 20741])).
% 8.03/5.86 tff(20745,plain,
% 8.03/5.86 (until5(s133)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8911, 20744])).
% 8.03/5.86 tff(20746,plain,
% 8.03/5.86 (~node4(s133)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8920, 16, 20268])).
% 8.03/5.86 tff(20747,plain,
% 8.03/5.86 (xuntil6(s133) | (~until5(s133))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8961, 352, 20746])).
% 8.03/5.86 tff(20748,plain,
% 8.03/5.86 (xuntil6(s133)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20747, 20745])).
% 8.03/5.86 tff(20749,plain,
% 8.03/5.86 (until5(s134)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8967, 20748])).
% 8.03/5.86 tff(20750,plain,
% 8.03/5.86 (~node4(s134)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[8976, 16, 20267])).
% 8.03/5.86 tff(20751,plain,
% 8.03/5.86 (xuntil6(s134) | (~until5(s134))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9017, 352, 20750])).
% 8.03/5.86 tff(20752,plain,
% 8.03/5.86 (xuntil6(s134)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20751, 20749])).
% 8.03/5.86 tff(20753,plain,
% 8.03/5.86 (until5(s135)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9023, 20752])).
% 8.03/5.86 tff(20754,plain,
% 8.03/5.86 (~node4(s135)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9032, 16, 20266])).
% 8.03/5.86 tff(20755,plain,
% 8.03/5.86 (xuntil6(s135) | (~until5(s135))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9073, 352, 20754])).
% 8.03/5.86 tff(20756,plain,
% 8.03/5.86 (xuntil6(s135)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20755, 20753])).
% 8.03/5.86 tff(20757,plain,
% 8.03/5.86 (until5(s136)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9079, 20756])).
% 8.03/5.86 tff(20758,plain,
% 8.03/5.86 (~node4(s136)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9088, 16, 20265])).
% 8.03/5.86 tff(20759,plain,
% 8.03/5.86 (xuntil6(s136) | (~until5(s136))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9146, 352, 20758])).
% 8.03/5.86 tff(20760,plain,
% 8.03/5.86 (xuntil6(s136)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20759, 20757])).
% 8.03/5.86 tff(20761,plain,
% 8.03/5.86 (until5(s137)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9152, 20760])).
% 8.03/5.86 tff(20762,plain,
% 8.03/5.86 (~node4(s137)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9161, 16, 20264])).
% 8.03/5.86 tff(20763,plain,
% 8.03/5.86 (xuntil6(s137) | (~until5(s137))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9202, 352, 20762])).
% 8.03/5.86 tff(20764,plain,
% 8.03/5.86 (xuntil6(s137)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20763, 20761])).
% 8.03/5.86 tff(20765,plain,
% 8.03/5.86 (until5(s138)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9208, 20764])).
% 8.03/5.86 tff(20766,plain,
% 8.03/5.86 (~node4(s138)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9217, 16, 20263])).
% 8.03/5.86 tff(20767,plain,
% 8.03/5.86 (xuntil6(s138) | (~until5(s138))),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[9258, 352, 20766])).
% 8.03/5.86 tff(20768,plain,
% 8.03/5.86 (xuntil6(s138)),
% 8.03/5.86 inference(unit_resolution,[status(thm)],[20767, 20765])).
% 8.03/5.86 tff(20769,plain,
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% 8.09/5.87 tff(20891,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[10950, 352, 20890])).
% 8.09/5.87 tff(20892,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20891, 20889])).
% 8.09/5.87 tff(20893,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[10956, 20892])).
% 8.09/5.87 tff(20894,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[10965, 16, 20231])).
% 8.09/5.87 tff(20895,plain,
% 8.09/5.87 (xuntil6(s170) | (~until5(s170))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[11023, 352, 20894])).
% 8.09/5.87 tff(20896,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20895, 20893])).
% 8.09/5.87 tff(20897,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11029, 20896])).
% 8.09/5.87 tff(20898,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11038, 16, 20230])).
% 8.09/5.87 tff(20899,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11079, 352, 20898])).
% 8.09/5.87 tff(20900,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20899, 20897])).
% 8.09/5.87 tff(20901,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11085, 20900])).
% 8.09/5.87 tff(20902,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11094, 16, 20229])).
% 8.09/5.87 tff(20903,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11135, 352, 20902])).
% 8.09/5.87 tff(20904,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20903, 20901])).
% 8.09/5.87 tff(20905,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11141, 20904])).
% 8.09/5.87 tff(20906,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11150, 16, 20228])).
% 8.09/5.87 tff(20907,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11191, 352, 20906])).
% 8.09/5.87 tff(20908,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20907, 20905])).
% 8.09/5.87 tff(20909,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11197, 20908])).
% 8.09/5.87 tff(20910,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11202, 16, 20227])).
% 8.09/5.87 tff(20911,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11250, 352, 20910])).
% 8.09/5.87 tff(20912,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20911, 20909])).
% 8.09/5.87 tff(20913,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11256, 20912])).
% 8.09/5.87 tff(20914,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11265, 16, 20226])).
% 8.09/5.87 tff(20915,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11306, 352, 20914])).
% 8.09/5.87 tff(20916,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20915, 20913])).
% 8.09/5.87 tff(20917,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11312, 20916])).
% 8.09/5.87 tff(20918,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11338, 16, 20225])).
% 8.09/5.87 tff(20919,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11366, 352, 20918])).
% 8.09/5.87 tff(20920,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20919, 20917])).
% 8.09/5.87 tff(20921,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11372, 20920])).
% 8.09/5.87 tff(20922,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11381, 16, 20224])).
% 8.09/5.87 tff(20923,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11422, 352, 20922])).
% 8.09/5.87 tff(20924,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20923, 20921])).
% 8.09/5.87 tff(20925,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11428, 20924])).
% 8.09/5.87 tff(20926,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11437, 16, 20223])).
% 8.09/5.87 tff(20927,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11478, 352, 20926])).
% 8.09/5.87 tff(20928,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20927, 20925])).
% 8.09/5.87 tff(20929,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11484, 20928])).
% 8.09/5.87 tff(20930,plain,
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% 8.09/5.87 tff(20931,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11534, 352, 20930])).
% 8.09/5.87 tff(20932,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20931, 20929])).
% 8.09/5.87 tff(20933,plain,
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% 8.09/5.87 tff(20934,plain,
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% 8.09/5.87 tff(20935,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11593, 352, 20934])).
% 8.09/5.87 tff(20936,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20935, 20933])).
% 8.09/5.87 tff(20937,plain,
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% 8.09/5.87 tff(20938,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11649, 352, 20938])).
% 8.09/5.87 tff(20940,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20939, 20937])).
% 8.09/5.87 tff(20941,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11655, 20940])).
% 8.09/5.87 tff(20942,plain,
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% 8.09/5.87 tff(20943,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11705, 352, 20942])).
% 8.09/5.87 tff(20944,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20943, 20941])).
% 8.09/5.87 tff(20945,plain,
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% 8.09/5.87 tff(20946,plain,
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% 8.09/5.87 tff(20947,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11761, 352, 20946])).
% 8.09/5.87 tff(20948,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20947, 20945])).
% 8.09/5.87 tff(20949,plain,
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% 8.09/5.87 tff(20950,plain,
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% 8.09/5.87 tff(20951,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11817, 352, 20950])).
% 8.09/5.87 tff(20952,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20951, 20949])).
% 8.09/5.87 tff(20953,plain,
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% 8.09/5.87 tff(20954,plain,
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% 8.09/5.87 tff(20955,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11873, 352, 20954])).
% 8.09/5.87 tff(20956,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20955, 20953])).
% 8.09/5.87 tff(20957,plain,
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% 8.09/5.87 tff(20958,plain,
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% 8.09/5.87 tff(20959,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11929, 352, 20958])).
% 8.09/5.87 tff(20960,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20959, 20957])).
% 8.09/5.87 tff(20961,plain,
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% 8.09/5.87 tff(20962,plain,
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% 8.09/5.87 tff(20963,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[11985, 352, 20962])).
% 8.09/5.87 tff(20964,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20963, 20961])).
% 8.09/5.87 tff(20965,plain,
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% 8.09/5.87 tff(20966,plain,
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% 8.09/5.87 tff(20967,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[12041, 352, 20966])).
% 8.09/5.87 tff(20968,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20967, 20965])).
% 8.09/5.87 tff(20969,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[12047, 20968])).
% 8.09/5.87 tff(20970,plain,
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% 8.09/5.87 tff(20971,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[12097, 352, 20970])).
% 8.09/5.87 tff(20972,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20971, 20969])).
% 8.09/5.87 tff(20973,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[12103, 20972])).
% 8.09/5.87 tff(20974,plain,
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% 8.09/5.87 tff(20975,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[12153, 352, 20974])).
% 8.09/5.87 tff(20976,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20975, 20973])).
% 8.09/5.87 tff(20977,plain,
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% 8.09/5.87 tff(20978,plain,
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% 8.09/5.87 tff(20979,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[12209, 352, 20978])).
% 8.09/5.87 tff(20980,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20979, 20977])).
% 8.09/5.87 tff(20981,plain,
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% 8.09/5.87 tff(20982,plain,
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% 8.09/5.87 tff(20983,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[12265, 352, 20982])).
% 8.09/5.87 tff(20984,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20983, 20981])).
% 8.09/5.87 tff(20985,plain,
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% 8.09/5.87 tff(20986,plain,
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% 8.09/5.87 tff(20987,plain,
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% 8.09/5.87 tff(20988,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20987, 20985])).
% 8.09/5.87 tff(20989,plain,
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% 8.09/5.87 tff(20990,plain,
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% 8.09/5.87 tff(20991,plain,
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% 8.09/5.87 tff(20992,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[20991, 20989])).
% 8.09/5.87 tff(20993,plain,
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% 8.09/5.87 tff(20996,plain,
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% 8.09/5.87 tff(20998,plain,
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% 8.09/5.87 tff(21000,plain,
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% 8.09/5.87 tff(21008,plain,
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% 8.09/5.87 tff(21011,plain,
% 8.09/5.87 (xuntil6(s199) | (~until5(s199))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13484, 352, 21010])).
% 8.09/5.87 tff(21012,plain,
% 8.09/5.87 (xuntil6(s199)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21011, 21009])).
% 8.09/5.87 tff(21013,plain,
% 8.09/5.87 (until5(s200)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13489, 21012])).
% 8.09/5.87 tff(21014,plain,
% 8.09/5.87 (~node4(s200)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[12546, 16, 20201])).
% 8.09/5.87 tff(21015,plain,
% 8.09/5.87 (xuntil6(s200) | (~until5(s200))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13496, 352, 21014])).
% 8.09/5.87 tff(21016,plain,
% 8.09/5.87 (xuntil6(s200)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21015, 21013])).
% 8.09/5.87 tff(21017,plain,
% 8.09/5.87 (until5(s201)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13667, 21016])).
% 8.09/5.87 tff(21018,plain,
% 8.09/5.87 (~node4(s201)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[12497, 16, 20200])).
% 8.09/5.87 tff(21019,plain,
% 8.09/5.87 (xuntil6(s201) | (~until5(s201))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13661, 352, 21018])).
% 8.09/5.87 tff(21020,plain,
% 8.09/5.87 (xuntil6(s201)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21019, 21017])).
% 8.09/5.87 tff(21021,plain,
% 8.09/5.87 (until5(s202)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13654, 21020])).
% 8.09/5.87 tff(21022,plain,
% 8.09/5.87 (~node4(s202)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13610, 16, 20199])).
% 8.09/5.87 tff(21023,plain,
% 8.09/5.87 (xuntil6(s202) | (~until5(s202))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13648, 352, 21022])).
% 8.09/5.87 tff(21024,plain,
% 8.09/5.87 (xuntil6(s202)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21023, 21021])).
% 8.09/5.87 tff(21025,plain,
% 8.09/5.87 (until5(s203)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13601, 21024])).
% 8.09/5.87 tff(21026,plain,
% 8.09/5.87 (~node4(s203)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13517, 16, 20198])).
% 8.09/5.87 tff(21027,plain,
% 8.09/5.87 (xuntil6(s203) | (~until5(s203))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13593, 352, 21026])).
% 8.09/5.87 tff(21028,plain,
% 8.09/5.87 (xuntil6(s203)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21027, 21025])).
% 8.09/5.87 tff(21029,plain,
% 8.09/5.87 (until5(s204)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13586, 21028])).
% 8.09/5.87 tff(21030,plain,
% 8.09/5.87 (~node4(s204)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[12724, 16, 20197])).
% 8.09/5.87 tff(21031,plain,
% 8.09/5.87 (xuntil6(s204) | (~until5(s204))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13580, 352, 21030])).
% 8.09/5.87 tff(21032,plain,
% 8.09/5.87 (xuntil6(s204)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21031, 21029])).
% 8.09/5.87 tff(21033,plain,
% 8.09/5.87 (until5(s205)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13573, 21032])).
% 8.09/5.87 tff(21034,plain,
% 8.09/5.87 (~node4(s205)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[12819, 16, 20196])).
% 8.09/5.87 tff(21035,plain,
% 8.09/5.87 (xuntil6(s205) | (~until5(s205))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13567, 352, 21034])).
% 8.09/5.87 tff(21036,plain,
% 8.09/5.87 (xuntil6(s205)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21035, 21033])).
% 8.09/5.87 tff(21037,plain,
% 8.09/5.87 (until5(s206)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13560, 21036])).
% 8.09/5.87 tff(21038,plain,
% 8.09/5.87 (~node4(s206)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[12684, 16, 20195])).
% 8.09/5.87 tff(21039,plain,
% 8.09/5.87 (xuntil6(s206) | (~until5(s206))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13554, 352, 21038])).
% 8.09/5.87 tff(21040,plain,
% 8.09/5.87 (xuntil6(s206)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21039, 21037])).
% 8.09/5.87 tff(21041,plain,
% 8.09/5.87 (until5(s207)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13547, 21040])).
% 8.09/5.87 tff(21042,plain,
% 8.09/5.87 (~node4(s207)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[12635, 16, 20194])).
% 8.09/5.87 tff(21043,plain,
% 8.09/5.87 (xuntil6(s207) | (~until5(s207))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13541, 352, 21042])).
% 8.09/5.87 tff(21044,plain,
% 8.09/5.87 (xuntil6(s207)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21043, 21041])).
% 8.09/5.87 tff(21045,plain,
% 8.09/5.87 (until5(s208)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13534, 21044])).
% 8.09/5.87 tff(21046,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[13521, 16, 20193])).
% 8.09/5.87 tff(21047,plain,
% 8.09/5.87 (xuntil6(s208) | (~until5(s208))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13528, 352, 21046])).
% 8.09/5.87 tff(21048,plain,
% 8.09/5.87 (xuntil6(s208)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21047, 21045])).
% 8.09/5.87 tff(21049,plain,
% 8.09/5.87 (until5(s209)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13877, 21048])).
% 8.09/5.87 tff(21050,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[13886, 16, 20192])).
% 8.09/5.87 tff(21051,plain,
% 8.09/5.87 (xuntil6(s209) | (~until5(s209))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13927, 352, 21050])).
% 8.09/5.87 tff(21052,plain,
% 8.09/5.87 (xuntil6(s209)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21051, 21049])).
% 8.09/5.87 tff(21053,plain,
% 8.09/5.87 (until5(s210)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13933, 21052])).
% 8.09/5.87 tff(21054,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[13942, 16, 20191])).
% 8.09/5.87 tff(21055,plain,
% 8.09/5.87 (xuntil6(s210) | (~until5(s210))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13983, 352, 21054])).
% 8.09/5.87 tff(21056,plain,
% 8.09/5.87 (xuntil6(s210)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21055, 21053])).
% 8.09/5.87 tff(21057,plain,
% 8.09/5.87 (until5(s211)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[13989, 21056])).
% 8.09/5.87 tff(21058,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[14020, 16, 20190])).
% 8.09/5.87 tff(21059,plain,
% 8.09/5.87 (xuntil6(s211) | (~until5(s211))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14027, 352, 21058])).
% 8.09/5.87 tff(21060,plain,
% 8.09/5.87 (xuntil6(s211)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21059, 21057])).
% 8.09/5.87 tff(21061,plain,
% 8.09/5.87 (until5(s212)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14204, 21060])).
% 8.09/5.87 tff(21062,plain,
% 8.09/5.87 (~node4(s212)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14235, 16, 20189])).
% 8.09/5.87 tff(21063,plain,
% 8.09/5.87 (xuntil6(s212) | (~until5(s212))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14242, 352, 21062])).
% 8.09/5.87 tff(21064,plain,
% 8.09/5.87 (xuntil6(s212)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21063, 21061])).
% 8.09/5.87 tff(21065,plain,
% 8.09/5.87 (until5(s213)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14248, 21064])).
% 8.09/5.87 tff(21066,plain,
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% 8.09/5.87 inference(unit_resolution,[status(thm)],[14211, 16, 20188])).
% 8.09/5.87 tff(21067,plain,
% 8.09/5.87 (xuntil6(s213) | (~until5(s213))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14218, 352, 21066])).
% 8.09/5.87 tff(21068,plain,
% 8.09/5.87 (xuntil6(s213)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21067, 21065])).
% 8.09/5.87 tff(21069,plain,
% 8.09/5.87 (until5(s214)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14322, 21068])).
% 8.09/5.87 tff(21070,plain,
% 8.09/5.87 (~node4(s214)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14331, 16, 20187])).
% 8.09/5.87 tff(21071,plain,
% 8.09/5.87 (xuntil6(s214) | (~until5(s214))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14372, 352, 21070])).
% 8.09/5.87 tff(21072,plain,
% 8.09/5.87 (xuntil6(s214)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21071, 21069])).
% 8.09/5.87 tff(21073,plain,
% 8.09/5.87 (until5(s215)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14378, 21072])).
% 8.09/5.87 tff(21074,plain,
% 8.09/5.87 (~node4(s215)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14387, 16, 20186])).
% 8.09/5.87 tff(21075,plain,
% 8.09/5.87 (xuntil6(s215) | (~until5(s215))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14428, 352, 21074])).
% 8.09/5.87 tff(21076,plain,
% 8.09/5.87 (xuntil6(s215)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21075, 21073])).
% 8.09/5.87 tff(21077,plain,
% 8.09/5.87 (until5(s216)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14434, 21076])).
% 8.09/5.87 tff(21078,plain,
% 8.09/5.87 (~node4(s216)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14440, 16, 20185])).
% 8.09/5.87 tff(21079,plain,
% 8.09/5.87 (xuntil6(s216) | (~until5(s216))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14447, 352, 21078])).
% 8.09/5.87 tff(21080,plain,
% 8.09/5.87 (xuntil6(s216)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21079, 21077])).
% 8.09/5.87 tff(21081,plain,
% 8.09/5.87 (until5(s217)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14534, 21080])).
% 8.09/5.87 tff(21082,plain,
% 8.09/5.87 (~node4(s217)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14555, 16, 20184])).
% 8.09/5.87 tff(21083,plain,
% 8.09/5.87 (xuntil6(s217) | (~until5(s217))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14609, 352, 21082])).
% 8.09/5.87 tff(21084,plain,
% 8.09/5.87 (xuntil6(s217)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21083, 21081])).
% 8.09/5.87 tff(21085,plain,
% 8.09/5.87 (until5(s218)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14602, 21084])).
% 8.09/5.87 tff(21086,plain,
% 8.09/5.87 (~node4(s218)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14589, 16, 20183])).
% 8.09/5.87 tff(21087,plain,
% 8.09/5.87 (xuntil6(s218) | (~until5(s218))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[14596, 352, 21086])).
% 8.09/5.87 tff(21088,plain,
% 8.09/5.87 (xuntil6(s218)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21087, 21085])).
% 8.09/5.87 tff(21089,plain,
% 8.09/5.87 (until5(s219)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15001, 21088])).
% 8.09/5.87 tff(21090,plain,
% 8.09/5.87 (~node4(s219)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15010, 16, 20182])).
% 8.09/5.87 tff(21091,plain,
% 8.09/5.87 (xuntil6(s219) | (~until5(s219))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15051, 352, 21090])).
% 8.09/5.87 tff(21092,plain,
% 8.09/5.87 (xuntil6(s219)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21091, 21089])).
% 8.09/5.87 tff(21093,plain,
% 8.09/5.87 (until5(s220)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15057, 21092])).
% 8.09/5.87 tff(21094,plain,
% 8.09/5.87 (~node4(s220)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15066, 16, 20181])).
% 8.09/5.87 tff(21095,plain,
% 8.09/5.87 (xuntil6(s220) | (~until5(s220))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15107, 352, 21094])).
% 8.09/5.87 tff(21096,plain,
% 8.09/5.87 (xuntil6(s220)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21095, 21093])).
% 8.09/5.87 tff(21097,plain,
% 8.09/5.87 (until5(s221)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15113, 21096])).
% 8.09/5.87 tff(21098,plain,
% 8.09/5.87 (~node4(s221)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15131, 16, 20180])).
% 8.09/5.87 tff(21099,plain,
% 8.09/5.87 (xuntil6(s221) | (~until5(s221))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15155, 352, 21098])).
% 8.09/5.87 tff(21100,plain,
% 8.09/5.87 (xuntil6(s221)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21099, 21097])).
% 8.09/5.87 tff(21101,plain,
% 8.09/5.87 (until5(s222)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15148, 21100])).
% 8.09/5.87 tff(21102,plain,
% 8.09/5.87 (~node4(s222)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15135, 16, 20179])).
% 8.09/5.87 tff(21103,plain,
% 8.09/5.87 (xuntil6(s222) | (~until5(s222))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15142, 352, 21102])).
% 8.09/5.87 tff(21104,plain,
% 8.09/5.87 (xuntil6(s222)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21103, 21101])).
% 8.09/5.87 tff(21105,plain,
% 8.09/5.87 (until5(s223)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15284, 21104])).
% 8.09/5.87 tff(21106,plain,
% 8.09/5.87 (~node4(s223)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15293, 16, 20178])).
% 8.09/5.87 tff(21107,plain,
% 8.09/5.87 (xuntil6(s223) | (~until5(s223))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15334, 352, 21106])).
% 8.09/5.87 tff(21108,plain,
% 8.09/5.87 (xuntil6(s223)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21107, 21105])).
% 8.09/5.87 tff(21109,plain,
% 8.09/5.87 (until5(s224)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15340, 21108])).
% 8.09/5.87 tff(21110,plain,
% 8.09/5.87 (~node4(s224)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15349, 16, 20177])).
% 8.09/5.87 tff(21111,plain,
% 8.09/5.87 (xuntil6(s224) | (~until5(s224))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15390, 352, 21110])).
% 8.09/5.87 tff(21112,plain,
% 8.09/5.87 (xuntil6(s224)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21111, 21109])).
% 8.09/5.87 tff(21113,plain,
% 8.09/5.87 (until5(s225)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15396, 21112])).
% 8.09/5.87 tff(21114,plain,
% 8.09/5.87 (~node4(s225)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15405, 16, 20176])).
% 8.09/5.87 tff(21115,plain,
% 8.09/5.87 (xuntil6(s225) | (~until5(s225))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15446, 352, 21114])).
% 8.09/5.87 tff(21116,plain,
% 8.09/5.87 (xuntil6(s225)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21115, 21113])).
% 8.09/5.87 tff(21117,plain,
% 8.09/5.87 (until5(s226)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15452, 21116])).
% 8.09/5.87 tff(21118,plain,
% 8.09/5.87 (~node4(s226)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15461, 16, 20175])).
% 8.09/5.87 tff(21119,plain,
% 8.09/5.87 (xuntil6(s226) | (~until5(s226))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15502, 352, 21118])).
% 8.09/5.87 tff(21120,plain,
% 8.09/5.87 (xuntil6(s226)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21119, 21117])).
% 8.09/5.87 tff(21121,plain,
% 8.09/5.87 (until5(s227)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15508, 21120])).
% 8.09/5.87 tff(21122,plain,
% 8.09/5.87 (~node4(s227)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15719, 16, 20174])).
% 8.09/5.87 tff(21123,plain,
% 8.09/5.87 (xuntil6(s227) | (~until5(s227))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15727, 352, 21122])).
% 8.09/5.87 tff(21124,plain,
% 8.09/5.87 (xuntil6(s227)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21123, 21121])).
% 8.09/5.87 tff(21125,plain,
% 8.09/5.87 (until5(s228)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15733, 21124])).
% 8.09/5.87 tff(21126,plain,
% 8.09/5.87 (~node4(s228)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15714, 16, 20173])).
% 8.09/5.87 tff(21127,plain,
% 8.09/5.87 (xuntil6(s228) | (~until5(s228))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15740, 352, 21126])).
% 8.09/5.87 tff(21128,plain,
% 8.09/5.87 (xuntil6(s228)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21127, 21125])).
% 8.09/5.87 tff(21129,plain,
% 8.09/5.87 (until5(s229)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15745, 21128])).
% 8.09/5.87 tff(21130,plain,
% 8.09/5.87 (~node4(s229)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15578, 16, 20172])).
% 8.09/5.87 tff(21131,plain,
% 8.09/5.87 (xuntil6(s229) | (~until5(s229))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15698, 352, 21130])).
% 8.09/5.87 tff(21132,plain,
% 8.09/5.87 (xuntil6(s229)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21131, 21129])).
% 8.09/5.87 tff(21133,plain,
% 8.09/5.87 (until5(s230)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15691, 21132])).
% 8.09/5.87 tff(21134,plain,
% 8.09/5.87 (~node4(s230)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15655, 16, 20171])).
% 8.09/5.87 tff(21135,plain,
% 8.09/5.87 (xuntil6(s230) | (~until5(s230))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15685, 352, 21134])).
% 8.09/5.87 tff(21136,plain,
% 8.09/5.87 (xuntil6(s230)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21135, 21133])).
% 8.09/5.87 tff(21137,plain,
% 8.09/5.87 (until5(s231)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15646, 21136])).
% 8.09/5.87 tff(21138,plain,
% 8.09/5.87 (~node4(s231)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15604, 16, 20170])).
% 8.09/5.87 tff(21139,plain,
% 8.09/5.87 (xuntil6(s231) | (~until5(s231))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15640, 352, 21138])).
% 8.09/5.87 tff(21140,plain,
% 8.09/5.87 (xuntil6(s231)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21139, 21137])).
% 8.09/5.87 tff(21141,plain,
% 8.09/5.87 (until5(s232)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15595, 21140])).
% 8.09/5.87 tff(21142,plain,
% 8.09/5.87 (~node4(s232)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15582, 16, 20169])).
% 8.09/5.87 tff(21143,plain,
% 8.09/5.87 (xuntil6(s232) | (~until5(s232))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15589, 352, 21142])).
% 8.09/5.87 tff(21144,plain,
% 8.09/5.87 (xuntil6(s232)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21143, 21141])).
% 8.09/5.87 tff(21145,plain,
% 8.09/5.87 (until5(s233)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15905, 21144])).
% 8.09/5.87 tff(21146,plain,
% 8.09/5.87 (~node4(s233)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15914, 16, 20168])).
% 8.09/5.87 tff(21147,plain,
% 8.09/5.87 (xuntil6(s233) | (~until5(s233))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15955, 352, 21146])).
% 8.09/5.87 tff(21148,plain,
% 8.09/5.87 (xuntil6(s233)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21147, 21145])).
% 8.09/5.87 tff(21149,plain,
% 8.09/5.87 (until5(s234)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15961, 21148])).
% 8.09/5.87 tff(21150,plain,
% 8.09/5.87 (~node4(s234)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[15970, 16, 20167])).
% 8.09/5.87 tff(21151,plain,
% 8.09/5.87 (xuntil6(s234) | (~until5(s234))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16011, 352, 21150])).
% 8.09/5.87 tff(21152,plain,
% 8.09/5.87 (xuntil6(s234)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21151, 21149])).
% 8.09/5.87 tff(21153,plain,
% 8.09/5.87 (until5(s235)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16017, 21152])).
% 8.09/5.87 tff(21154,plain,
% 8.09/5.87 (~node4(s235)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16026, 16, 20166])).
% 8.09/5.87 tff(21155,plain,
% 8.09/5.87 (xuntil6(s235) | (~until5(s235))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16067, 352, 21154])).
% 8.09/5.87 tff(21156,plain,
% 8.09/5.87 (xuntil6(s235)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21155, 21153])).
% 8.09/5.87 tff(21157,plain,
% 8.09/5.87 (until5(s236)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16073, 21156])).
% 8.09/5.87 tff(21158,plain,
% 8.09/5.87 (~node4(s236)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16082, 16, 20165])).
% 8.09/5.87 tff(21159,plain,
% 8.09/5.87 (xuntil6(s236) | (~until5(s236))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16123, 352, 21158])).
% 8.09/5.87 tff(21160,plain,
% 8.09/5.87 (xuntil6(s236)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21159, 21157])).
% 8.09/5.87 tff(21161,plain,
% 8.09/5.87 (until5(s237)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16129, 21160])).
% 8.09/5.87 tff(21162,plain,
% 8.09/5.87 (~node4(s237)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16138, 16, 20164])).
% 8.09/5.87 tff(21163,plain,
% 8.09/5.87 (xuntil6(s237) | (~until5(s237))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16179, 352, 21162])).
% 8.09/5.87 tff(21164,plain,
% 8.09/5.87 (xuntil6(s237)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21163, 21161])).
% 8.09/5.87 tff(21165,plain,
% 8.09/5.87 (until5(s238)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16185, 21164])).
% 8.09/5.87 tff(21166,plain,
% 8.09/5.87 (~node4(s238)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16197, 16, 20163])).
% 8.09/5.87 tff(21167,plain,
% 8.09/5.87 (xuntil6(s238) | (~until5(s238))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16204, 352, 21166])).
% 8.09/5.87 tff(21168,plain,
% 8.09/5.87 (xuntil6(s238)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21167, 21165])).
% 8.09/5.87 tff(21169,plain,
% 8.09/5.87 (until5(s239)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16304, 21168])).
% 8.09/5.87 tff(21170,plain,
% 8.09/5.87 (~node4(s239)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16313, 16, 20162])).
% 8.09/5.87 tff(21171,plain,
% 8.09/5.87 (xuntil6(s239) | (~until5(s239))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16354, 352, 21170])).
% 8.09/5.87 tff(21172,plain,
% 8.09/5.87 (xuntil6(s239)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21171, 21169])).
% 8.09/5.87 tff(21173,plain,
% 8.09/5.87 (until5(s240)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16360, 21172])).
% 8.09/5.87 tff(21174,plain,
% 8.09/5.87 (~node4(s240)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16369, 16, 20161])).
% 8.09/5.87 tff(21175,plain,
% 8.09/5.87 (xuntil6(s240) | (~until5(s240))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16410, 352, 21174])).
% 8.09/5.87 tff(21176,plain,
% 8.09/5.87 (xuntil6(s240)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21175, 21173])).
% 8.09/5.87 tff(21177,plain,
% 8.09/5.87 (until5(s241)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16416, 21176])).
% 8.09/5.87 tff(21178,plain,
% 8.09/5.87 (~node4(s241)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16425, 16, 20160])).
% 8.09/5.87 tff(21179,plain,
% 8.09/5.87 (xuntil6(s241) | (~until5(s241))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16466, 352, 21178])).
% 8.09/5.87 tff(21180,plain,
% 8.09/5.87 (xuntil6(s241)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21179, 21177])).
% 8.09/5.87 tff(21181,plain,
% 8.09/5.87 (until5(s242)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16472, 21180])).
% 8.09/5.87 tff(21182,plain,
% 8.09/5.87 (~node4(s242)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16481, 16, 20159])).
% 8.09/5.87 tff(21183,plain,
% 8.09/5.87 (xuntil6(s242) | (~until5(s242))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16522, 352, 21182])).
% 8.09/5.87 tff(21184,plain,
% 8.09/5.87 (xuntil6(s242)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21183, 21181])).
% 8.09/5.87 tff(21185,plain,
% 8.09/5.87 (until5(s243)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16528, 21184])).
% 8.09/5.87 tff(21186,plain,
% 8.09/5.87 (~node4(s243)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16537, 16, 20158])).
% 8.09/5.87 tff(21187,plain,
% 8.09/5.87 (xuntil6(s243) | (~until5(s243))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16578, 352, 21186])).
% 8.09/5.87 tff(21188,plain,
% 8.09/5.87 (xuntil6(s243)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21187, 21185])).
% 8.09/5.87 tff(21189,plain,
% 8.09/5.87 (until5(s244)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16584, 21188])).
% 8.09/5.87 tff(21190,plain,
% 8.09/5.87 (~node4(s244)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16593, 16, 20157])).
% 8.09/5.87 tff(21191,plain,
% 8.09/5.87 (xuntil6(s244) | (~until5(s244))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16634, 352, 21190])).
% 8.09/5.87 tff(21192,plain,
% 8.09/5.87 (xuntil6(s244)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21191, 21189])).
% 8.09/5.87 tff(21193,plain,
% 8.09/5.87 (until5(s245)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16640, 21192])).
% 8.09/5.87 tff(21194,plain,
% 8.09/5.87 (~node4(s245)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16649, 16, 20156])).
% 8.09/5.87 tff(21195,plain,
% 8.09/5.87 (xuntil6(s245) | (~until5(s245))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16690, 352, 21194])).
% 8.09/5.87 tff(21196,plain,
% 8.09/5.87 (xuntil6(s245)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21195, 21193])).
% 8.09/5.87 tff(21197,plain,
% 8.09/5.87 (until5(s246)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16696, 21196])).
% 8.09/5.87 tff(21198,plain,
% 8.09/5.87 (~node4(s246)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16705, 16, 20155])).
% 8.09/5.87 tff(21199,plain,
% 8.09/5.87 (xuntil6(s246) | (~until5(s246))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16746, 352, 21198])).
% 8.09/5.87 tff(21200,plain,
% 8.09/5.87 (xuntil6(s246)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21199, 21197])).
% 8.09/5.87 tff(21201,plain,
% 8.09/5.87 (until5(s247)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16752, 21200])).
% 8.09/5.87 tff(21202,plain,
% 8.09/5.87 (~node4(s247)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16761, 16, 20154])).
% 8.09/5.87 tff(21203,plain,
% 8.09/5.87 (xuntil6(s247) | (~until5(s247))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16802, 352, 21202])).
% 8.09/5.87 tff(21204,plain,
% 8.09/5.87 (xuntil6(s247)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21203, 21201])).
% 8.09/5.87 tff(21205,plain,
% 8.09/5.87 (until5(s248)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16808, 21204])).
% 8.09/5.87 tff(21206,plain,
% 8.09/5.87 (~node4(s248)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16820, 16, 20153])).
% 8.09/5.87 tff(21207,plain,
% 8.09/5.87 (xuntil6(s248) | (~until5(s248))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16827, 352, 21206])).
% 8.09/5.87 tff(21208,plain,
% 8.09/5.87 (xuntil6(s248)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21207, 21205])).
% 8.09/5.87 tff(21209,plain,
% 8.09/5.87 (until5(s249)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16961, 21208])).
% 8.09/5.87 tff(21210,plain,
% 8.09/5.87 (~node4(s249)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[16970, 16, 20152])).
% 8.09/5.87 tff(21211,plain,
% 8.09/5.87 (xuntil6(s249) | (~until5(s249))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17011, 352, 21210])).
% 8.09/5.87 tff(21212,plain,
% 8.09/5.87 (xuntil6(s249)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21211, 21209])).
% 8.09/5.87 tff(21213,plain,
% 8.09/5.87 (until5(s250)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17017, 21212])).
% 8.09/5.87 tff(21214,plain,
% 8.09/5.87 (~node4(s250)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17026, 16, 20151])).
% 8.09/5.87 tff(21215,plain,
% 8.09/5.87 (xuntil6(s250) | (~until5(s250))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17067, 352, 21214])).
% 8.09/5.87 tff(21216,plain,
% 8.09/5.87 (xuntil6(s250)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21215, 21213])).
% 8.09/5.87 tff(21217,plain,
% 8.09/5.87 (until5(s251)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17073, 21216])).
% 8.09/5.87 tff(21218,plain,
% 8.09/5.87 (~node4(s251)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17082, 16, 20150])).
% 8.09/5.87 tff(21219,plain,
% 8.09/5.87 (xuntil6(s251) | (~until5(s251))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17123, 352, 21218])).
% 8.09/5.87 tff(21220,plain,
% 8.09/5.87 (xuntil6(s251)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21219, 21217])).
% 8.09/5.87 tff(21221,plain,
% 8.09/5.87 (until5(s252)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17129, 21220])).
% 8.09/5.87 tff(21222,plain,
% 8.09/5.87 (~node4(s252)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17138, 16, 20149])).
% 8.09/5.87 tff(21223,plain,
% 8.09/5.87 (xuntil6(s252) | (~until5(s252))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17179, 352, 21222])).
% 8.09/5.87 tff(21224,plain,
% 8.09/5.87 (xuntil6(s252)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21223, 21221])).
% 8.09/5.87 tff(21225,plain,
% 8.09/5.87 (until5(s253)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17185, 21224])).
% 8.09/5.87 tff(21226,plain,
% 8.09/5.87 (~node4(s253)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17194, 16, 20148])).
% 8.09/5.87 tff(21227,plain,
% 8.09/5.87 (xuntil6(s253) | (~until5(s253))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17235, 352, 21226])).
% 8.09/5.87 tff(21228,plain,
% 8.09/5.87 (xuntil6(s253)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21227, 21225])).
% 8.09/5.87 tff(21229,plain,
% 8.09/5.87 (until5(s254)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17241, 21228])).
% 8.09/5.87 tff(21230,plain,
% 8.09/5.87 (~node4(s254)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17250, 16, 20147])).
% 8.09/5.87 tff(21231,plain,
% 8.09/5.87 (xuntil6(s254) | (~until5(s254))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17291, 352, 21230])).
% 8.09/5.87 tff(21232,plain,
% 8.09/5.87 (xuntil6(s254)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21231, 21229])).
% 8.09/5.87 tff(21233,plain,
% 8.09/5.87 (until5(s255)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17297, 21232])).
% 8.09/5.87 tff(21234,plain,
% 8.09/5.87 (~node4(s255)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17306, 16, 20146])).
% 8.09/5.87 tff(21235,plain,
% 8.09/5.87 (xuntil6(s255) | (~until5(s255))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17347, 352, 21234])).
% 8.09/5.87 tff(21236,plain,
% 8.09/5.87 (xuntil6(s255)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21235, 21233])).
% 8.09/5.87 tff(21237,plain,
% 8.09/5.87 (until5(s256)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17353, 21236])).
% 8.09/5.87 tff(21238,plain,
% 8.09/5.87 (~node4(s256)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17362, 16, 20145])).
% 8.09/5.87 tff(21239,plain,
% 8.09/5.87 (xuntil6(s256) | (~until5(s256))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17403, 352, 21238])).
% 8.09/5.87 tff(21240,plain,
% 8.09/5.87 (xuntil6(s256)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21239, 21237])).
% 8.09/5.87 tff(21241,plain,
% 8.09/5.87 (until5(s257)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17409, 21240])).
% 8.09/5.87 tff(21242,plain,
% 8.09/5.87 (~node4(s257)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17418, 16, 20144])).
% 8.09/5.87 tff(21243,plain,
% 8.09/5.87 (xuntil6(s257) | (~until5(s257))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17459, 352, 21242])).
% 8.09/5.87 tff(21244,plain,
% 8.09/5.87 (xuntil6(s257)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21243, 21241])).
% 8.09/5.87 tff(21245,plain,
% 8.09/5.87 (until5(s258)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17465, 21244])).
% 8.09/5.87 tff(21246,plain,
% 8.09/5.87 (~node4(s258)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17474, 16, 20143])).
% 8.09/5.87 tff(21247,plain,
% 8.09/5.87 (xuntil6(s258) | (~until5(s258))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17515, 352, 21246])).
% 8.09/5.87 tff(21248,plain,
% 8.09/5.87 (xuntil6(s258)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21247, 21245])).
% 8.09/5.87 tff(21249,plain,
% 8.09/5.87 (until5(s259)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17521, 21248])).
% 8.09/5.87 tff(21250,plain,
% 8.09/5.87 (~node4(s259)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17530, 16, 20142])).
% 8.09/5.87 tff(21251,plain,
% 8.09/5.87 (xuntil6(s259) | (~until5(s259))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17571, 352, 21250])).
% 8.09/5.87 tff(21252,plain,
% 8.09/5.87 (xuntil6(s259)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21251, 21249])).
% 8.09/5.87 tff(21253,plain,
% 8.09/5.87 (until5(s260)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17577, 21252])).
% 8.09/5.87 tff(21254,plain,
% 8.09/5.87 (~node4(s260)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17586, 16, 20141])).
% 8.09/5.87 tff(21255,plain,
% 8.09/5.87 (xuntil6(s260) | (~until5(s260))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17627, 352, 21254])).
% 8.09/5.87 tff(21256,plain,
% 8.09/5.87 (xuntil6(s260)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21255, 21253])).
% 8.09/5.87 tff(21257,plain,
% 8.09/5.87 (until5(s261)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17633, 21256])).
% 8.09/5.87 tff(21258,plain,
% 8.09/5.87 (~node4(s261)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17642, 16, 20140])).
% 8.09/5.87 tff(21259,plain,
% 8.09/5.87 (xuntil6(s261) | (~until5(s261))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17683, 352, 21258])).
% 8.09/5.87 tff(21260,plain,
% 8.09/5.87 (xuntil6(s261)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21259, 21257])).
% 8.09/5.87 tff(21261,plain,
% 8.09/5.87 (until5(s262)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17689, 21260])).
% 8.09/5.87 tff(21262,plain,
% 8.09/5.87 (~node4(s262)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17698, 16, 20139])).
% 8.09/5.87 tff(21263,plain,
% 8.09/5.87 (xuntil6(s262) | (~until5(s262))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17739, 352, 21262])).
% 8.09/5.87 tff(21264,plain,
% 8.09/5.87 (xuntil6(s262)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21263, 21261])).
% 8.09/5.87 tff(21265,plain,
% 8.09/5.87 (until5(s263)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17745, 21264])).
% 8.09/5.87 tff(21266,plain,
% 8.09/5.87 (~node4(s263)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17754, 16, 20138])).
% 8.09/5.87 tff(21267,plain,
% 8.09/5.87 (xuntil6(s263) | (~until5(s263))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17795, 352, 21266])).
% 8.09/5.87 tff(21268,plain,
% 8.09/5.87 (xuntil6(s263)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21267, 21265])).
% 8.09/5.87 tff(21269,plain,
% 8.09/5.87 (until5(s264)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17801, 21268])).
% 8.09/5.87 tff(21270,plain,
% 8.09/5.87 (~node4(s264)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17810, 16, 20137])).
% 8.09/5.87 tff(21271,plain,
% 8.09/5.87 (xuntil6(s264) | (~until5(s264))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17851, 352, 21270])).
% 8.09/5.87 tff(21272,plain,
% 8.09/5.87 (xuntil6(s264)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21271, 21269])).
% 8.09/5.87 tff(21273,plain,
% 8.09/5.87 (until5(s265)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17857, 21272])).
% 8.09/5.87 tff(21274,plain,
% 8.09/5.87 (~node4(s265)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[17884, 16, 20136])).
% 8.09/5.87 tff(21275,plain,
% 8.09/5.87 (xuntil6(s265) | (~until5(s265))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[18159, 352, 21274])).
% 8.09/5.87 tff(21276,plain,
% 8.09/5.87 (xuntil6(s265)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21275, 21273])).
% 8.09/5.87 tff(21277,plain,
% 8.09/5.87 (until5(s266)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[18152, 21276])).
% 8.09/5.87 tff(21278,plain,
% 8.09/5.87 (~node4(s266)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[18139, 16, 20135])).
% 8.09/5.87 tff(21279,plain,
% 8.09/5.87 (xuntil6(s266) | (~until5(s266))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[18146, 352, 21278])).
% 8.09/5.87 tff(21280,plain,
% 8.09/5.87 (xuntil6(s266)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21279, 21277])).
% 8.09/5.87 tff(21281,plain,
% 8.09/5.87 (until5(s267)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[18853, 21280])).
% 8.09/5.87 tff(21282,plain,
% 8.09/5.87 (~node4(s267)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[18862, 16, 20134])).
% 8.09/5.87 tff(21283,plain,
% 8.09/5.87 (xuntil6(s267) | (~until5(s267))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[18903, 352, 21282])).
% 8.09/5.87 tff(21284,plain,
% 8.09/5.87 (xuntil6(s267)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21283, 21281])).
% 8.09/5.87 tff(21285,plain,
% 8.09/5.87 (until5(s268)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[18909, 21284])).
% 8.09/5.87 tff(21286,plain,
% 8.09/5.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s268) | (~node4(s268)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s268) | (~node4(s268)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21287,plain,
% 8.09/5.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s268) | (~node4(s268)))),
% 8.09/5.87 inference(quant_inst,[status(thm)],[])).
% 8.09/5.87 tff(21288,plain,
% 8.09/5.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s268) | (~node4(s268))),
% 8.09/5.87 inference(modus_ponens,[status(thm)],[21287, 21286])).
% 8.09/5.87 tff(21289,plain,
% 8.09/5.87 (~node4(s268)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21288, 16, 20133])).
% 8.09/5.87 tff(21290,plain,
% 8.09/5.87 (((~![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)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21291,plain,
% 8.09/5.87 ((node4(s268) | (~until5(s268)) | xuntil6(s268)) <=> (xuntil6(s268) | node4(s268) | (~until5(s268)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21292,plain,
% 8.09/5.87 (((~![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))))),
% 8.09/5.87 inference(monotonicity,[status(thm)],[21291])).
% 8.09/5.87 tff(21293,plain,
% 8.09/5.87 (((~![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)))),
% 8.09/5.87 inference(transitivity,[status(thm)],[21292, 21290])).
% 8.09/5.87 tff(21294,plain,
% 8.09/5.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s268) | (~until5(s268)) | xuntil6(s268))),
% 8.09/5.87 inference(quant_inst,[status(thm)],[])).
% 8.09/5.87 tff(21295,plain,
% 8.09/5.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s268) | node4(s268) | (~until5(s268))),
% 8.09/5.87 inference(modus_ponens,[status(thm)],[21294, 21293])).
% 8.09/5.87 tff(21296,plain,
% 8.09/5.87 (xuntil6(s268) | (~until5(s268))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21295, 352, 21289])).
% 8.09/5.87 tff(21297,plain,
% 8.09/5.87 (xuntil6(s268)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21296, 21285])).
% 8.09/5.87 tff(21298,plain,
% 8.09/5.87 (((~![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))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21299,plain,
% 8.09/5.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269))),
% 8.09/5.87 inference(quant_inst,[status(thm)],[])).
% 8.09/5.87 tff(21300,plain,
% 8.09/5.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269)),
% 8.09/5.87 inference(modus_ponens,[status(thm)],[21299, 21298])).
% 8.09/5.87 tff(21301,plain,
% 8.09/5.87 ((~xuntil6(s268)) | until5(s269)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21300, 19742, 370])).
% 8.09/5.87 tff(21302,plain,
% 8.09/5.87 (until5(s269)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21301, 21297])).
% 8.09/5.87 tff(21303,plain,
% 8.09/5.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s269) | (~node4(s269)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s269) | (~node4(s269)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21304,plain,
% 8.09/5.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s269) | (~node4(s269)))),
% 8.09/5.87 inference(quant_inst,[status(thm)],[])).
% 8.09/5.87 tff(21305,plain,
% 8.09/5.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s269) | (~node4(s269))),
% 8.09/5.87 inference(modus_ponens,[status(thm)],[21304, 21303])).
% 8.09/5.87 tff(21306,plain,
% 8.09/5.87 (~node4(s269)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21305, 16, 20132])).
% 8.09/5.87 tff(21307,plain,
% 8.09/5.87 (((~![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)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21308,plain,
% 8.09/5.87 ((node4(s269) | (~until5(s269)) | xuntil6(s269)) <=> (xuntil6(s269) | node4(s269) | (~until5(s269)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21309,plain,
% 8.09/5.87 (((~![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))))),
% 8.09/5.87 inference(monotonicity,[status(thm)],[21308])).
% 8.09/5.87 tff(21310,plain,
% 8.09/5.87 (((~![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)))),
% 8.09/5.87 inference(transitivity,[status(thm)],[21309, 21307])).
% 8.09/5.87 tff(21311,plain,
% 8.09/5.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s269) | (~until5(s269)) | xuntil6(s269))),
% 8.09/5.87 inference(quant_inst,[status(thm)],[])).
% 8.09/5.87 tff(21312,plain,
% 8.09/5.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s269) | node4(s269) | (~until5(s269))),
% 8.09/5.87 inference(modus_ponens,[status(thm)],[21311, 21310])).
% 8.09/5.87 tff(21313,plain,
% 8.09/5.87 (xuntil6(s269) | (~until5(s269))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21312, 352, 21306])).
% 8.09/5.87 tff(21314,plain,
% 8.09/5.87 (xuntil6(s269)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21313, 21302])).
% 8.09/5.87 tff(21315,plain,
% 8.09/5.87 (((~![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))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21316,plain,
% 8.09/5.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270))),
% 8.09/5.87 inference(quant_inst,[status(thm)],[])).
% 8.09/5.87 tff(21317,plain,
% 8.09/5.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270)),
% 8.09/5.87 inference(modus_ponens,[status(thm)],[21316, 21315])).
% 8.09/5.87 tff(21318,plain,
% 8.09/5.87 ((~xuntil6(s269)) | until5(s270)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21317, 19730, 370])).
% 8.09/5.87 tff(21319,plain,
% 8.09/5.87 (until5(s270)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21318, 21314])).
% 8.09/5.87 tff(21320,plain,
% 8.09/5.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s270) | (~node4(s270)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s270) | (~node4(s270)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21321,plain,
% 8.09/5.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s270) | (~node4(s270)))),
% 8.09/5.87 inference(quant_inst,[status(thm)],[])).
% 8.09/5.87 tff(21322,plain,
% 8.09/5.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s270) | (~node4(s270))),
% 8.09/5.87 inference(modus_ponens,[status(thm)],[21321, 21320])).
% 8.09/5.87 tff(21323,plain,
% 8.09/5.87 (~node4(s270)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21322, 16, 20131])).
% 8.09/5.87 tff(21324,plain,
% 8.09/5.87 (((~![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)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21325,plain,
% 8.09/5.87 ((node4(s270) | (~until5(s270)) | xuntil6(s270)) <=> (xuntil6(s270) | node4(s270) | (~until5(s270)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21326,plain,
% 8.09/5.87 (((~![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))))),
% 8.09/5.87 inference(monotonicity,[status(thm)],[21325])).
% 8.09/5.87 tff(21327,plain,
% 8.09/5.87 (((~![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)))),
% 8.09/5.87 inference(transitivity,[status(thm)],[21326, 21324])).
% 8.09/5.87 tff(21328,plain,
% 8.09/5.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s270) | (~until5(s270)) | xuntil6(s270))),
% 8.09/5.87 inference(quant_inst,[status(thm)],[])).
% 8.09/5.87 tff(21329,plain,
% 8.09/5.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s270) | node4(s270) | (~until5(s270))),
% 8.09/5.87 inference(modus_ponens,[status(thm)],[21328, 21327])).
% 8.09/5.87 tff(21330,plain,
% 8.09/5.87 (xuntil6(s270) | (~until5(s270))),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21329, 352, 21323])).
% 8.09/5.87 tff(21331,plain,
% 8.09/5.87 (xuntil6(s270)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21330, 21319])).
% 8.09/5.87 tff(21332,plain,
% 8.09/5.87 (((~![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))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21333,plain,
% 8.09/5.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271))),
% 8.09/5.87 inference(quant_inst,[status(thm)],[])).
% 8.09/5.87 tff(21334,plain,
% 8.09/5.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271)),
% 8.09/5.87 inference(modus_ponens,[status(thm)],[21333, 21332])).
% 8.09/5.87 tff(21335,plain,
% 8.09/5.87 ((~xuntil6(s270)) | until5(s271)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21334, 19718, 370])).
% 8.09/5.87 tff(21336,plain,
% 8.09/5.87 (until5(s271)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21335, 21331])).
% 8.09/5.87 tff(21337,plain,
% 8.09/5.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s271) | (~node4(s271)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s271) | (~node4(s271)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21338,plain,
% 8.09/5.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s271) | (~node4(s271)))),
% 8.09/5.87 inference(quant_inst,[status(thm)],[])).
% 8.09/5.87 tff(21339,plain,
% 8.09/5.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s271) | (~node4(s271))),
% 8.09/5.87 inference(modus_ponens,[status(thm)],[21338, 21337])).
% 8.09/5.87 tff(21340,plain,
% 8.09/5.87 (~node4(s271)),
% 8.09/5.87 inference(unit_resolution,[status(thm)],[21339, 16, 20130])).
% 8.09/5.87 tff(21341,plain,
% 8.09/5.87 (((~![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)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21342,plain,
% 8.09/5.87 ((node4(s271) | (~until5(s271)) | xuntil6(s271)) <=> (xuntil6(s271) | node4(s271) | (~until5(s271)))),
% 8.09/5.87 inference(rewrite,[status(thm)],[])).
% 8.09/5.87 tff(21343,plain,
% 8.09/5.87 (((~![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))))),
% 8.09/5.88 inference(monotonicity,[status(thm)],[21342])).
% 8.09/5.88 tff(21344,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(transitivity,[status(thm)],[21343, 21341])).
% 8.09/5.88 tff(21345,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s271) | (~until5(s271)) | xuntil6(s271))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21346,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s271) | node4(s271) | (~until5(s271))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21345, 21344])).
% 8.09/5.88 tff(21347,plain,
% 8.09/5.88 (xuntil6(s271) | (~until5(s271))),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21346, 352, 21340])).
% 8.09/5.88 tff(21348,plain,
% 8.09/5.88 (xuntil6(s271)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21347, 21336])).
% 8.09/5.88 tff(21349,plain,
% 8.09/5.88 (((~![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))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21350,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21351,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272)),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21350, 21349])).
% 8.09/5.88 tff(21352,plain,
% 8.09/5.88 ((~xuntil6(s271)) | until5(s272)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21351, 19706, 370])).
% 8.09/5.88 tff(21353,plain,
% 8.09/5.88 (until5(s272)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21352, 21348])).
% 8.09/5.88 tff(21354,plain,
% 8.09/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s272) | (~node4(s272)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s272) | (~node4(s272)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21355,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s272) | (~node4(s272)))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21356,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s272) | (~node4(s272))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21355, 21354])).
% 8.09/5.88 tff(21357,plain,
% 8.09/5.88 (~node4(s272)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21356, 16, 20129])).
% 8.09/5.88 tff(21358,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21359,plain,
% 8.09/5.88 ((node4(s272) | (~until5(s272)) | xuntil6(s272)) <=> (xuntil6(s272) | node4(s272) | (~until5(s272)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21360,plain,
% 8.09/5.88 (((~![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))))),
% 8.09/5.88 inference(monotonicity,[status(thm)],[21359])).
% 8.09/5.88 tff(21361,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(transitivity,[status(thm)],[21360, 21358])).
% 8.09/5.88 tff(21362,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s272) | (~until5(s272)) | xuntil6(s272))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21363,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s272) | node4(s272) | (~until5(s272))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21362, 21361])).
% 8.09/5.88 tff(21364,plain,
% 8.09/5.88 (xuntil6(s272) | (~until5(s272))),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21363, 352, 21357])).
% 8.09/5.88 tff(21365,plain,
% 8.09/5.88 (xuntil6(s272)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21364, 21353])).
% 8.09/5.88 tff(21366,plain,
% 8.09/5.88 (((~![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))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21367,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21368,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273)),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21367, 21366])).
% 8.09/5.88 tff(21369,plain,
% 8.09/5.88 ((~xuntil6(s272)) | until5(s273)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21368, 19694, 370])).
% 8.09/5.88 tff(21370,plain,
% 8.09/5.88 (until5(s273)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21369, 21365])).
% 8.09/5.88 tff(21371,plain,
% 8.09/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s273) | (~node4(s273)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s273) | (~node4(s273)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21372,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s273) | (~node4(s273)))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21373,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s273) | (~node4(s273))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21372, 21371])).
% 8.09/5.88 tff(21374,plain,
% 8.09/5.88 (~node4(s273)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21373, 16, 20128])).
% 8.09/5.88 tff(21375,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21376,plain,
% 8.09/5.88 ((node4(s273) | (~until5(s273)) | xuntil6(s273)) <=> (xuntil6(s273) | node4(s273) | (~until5(s273)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21377,plain,
% 8.09/5.88 (((~![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))))),
% 8.09/5.88 inference(monotonicity,[status(thm)],[21376])).
% 8.09/5.88 tff(21378,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(transitivity,[status(thm)],[21377, 21375])).
% 8.09/5.88 tff(21379,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s273) | (~until5(s273)) | xuntil6(s273))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21380,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s273) | node4(s273) | (~until5(s273))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21379, 21378])).
% 8.09/5.88 tff(21381,plain,
% 8.09/5.88 (xuntil6(s273) | (~until5(s273))),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21380, 352, 21374])).
% 8.09/5.88 tff(21382,plain,
% 8.09/5.88 (xuntil6(s273)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21381, 21370])).
% 8.09/5.88 tff(21383,plain,
% 8.09/5.88 (((~![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))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21384,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21385,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274)),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21384, 21383])).
% 8.09/5.88 tff(21386,plain,
% 8.09/5.88 ((~xuntil6(s273)) | until5(s274)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21385, 19682, 370])).
% 8.09/5.88 tff(21387,plain,
% 8.09/5.88 (until5(s274)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21386, 21382])).
% 8.09/5.88 tff(21388,plain,
% 8.09/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s274) | (~node4(s274)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s274) | (~node4(s274)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21389,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s274) | (~node4(s274)))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21390,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s274) | (~node4(s274))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21389, 21388])).
% 8.09/5.88 tff(21391,plain,
% 8.09/5.88 (~node4(s274)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21390, 16, 20127])).
% 8.09/5.88 tff(21392,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21393,plain,
% 8.09/5.88 ((node4(s274) | (~until5(s274)) | xuntil6(s274)) <=> (xuntil6(s274) | node4(s274) | (~until5(s274)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21394,plain,
% 8.09/5.88 (((~![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))))),
% 8.09/5.88 inference(monotonicity,[status(thm)],[21393])).
% 8.09/5.88 tff(21395,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(transitivity,[status(thm)],[21394, 21392])).
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% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21397,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s274) | node4(s274) | (~until5(s274))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21396, 21395])).
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% 8.09/5.88 (xuntil6(s274) | (~until5(s274))),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21397, 352, 21391])).
% 8.09/5.88 tff(21399,plain,
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% 8.09/5.88 inference(unit_resolution,[status(thm)],[21398, 21387])).
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% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21401,plain,
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% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21402,plain,
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% 8.09/5.88 inference(modus_ponens,[status(thm)],[21401, 21400])).
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% 8.09/5.88 inference(unit_resolution,[status(thm)],[21402, 19670, 370])).
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% 8.09/5.88 inference(rewrite,[status(thm)],[])).
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% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.88 inference(modus_ponens,[status(thm)],[21406, 21405])).
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% 8.09/5.88 inference(unit_resolution,[status(thm)],[21407, 16, 20126])).
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% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21410,plain,
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% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21411,plain,
% 8.09/5.88 (((~![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))))),
% 8.09/5.88 inference(monotonicity,[status(thm)],[21410])).
% 8.09/5.88 tff(21412,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(transitivity,[status(thm)],[21411, 21409])).
% 8.09/5.88 tff(21413,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s275) | (~until5(s275)) | xuntil6(s275))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21414,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s275) | node4(s275) | (~until5(s275))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21413, 21412])).
% 8.09/5.88 tff(21415,plain,
% 8.09/5.88 (xuntil6(s275) | (~until5(s275))),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21414, 352, 21408])).
% 8.09/5.88 tff(21416,plain,
% 8.09/5.88 (xuntil6(s275)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21415, 21404])).
% 8.09/5.88 tff(21417,plain,
% 8.09/5.88 (((~![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))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21418,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21419,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276)),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21418, 21417])).
% 8.09/5.88 tff(21420,plain,
% 8.09/5.88 ((~xuntil6(s275)) | until5(s276)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21419, 19658, 370])).
% 8.09/5.88 tff(21421,plain,
% 8.09/5.88 (until5(s276)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21420, 21416])).
% 8.09/5.88 tff(21422,plain,
% 8.09/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s276) | (~node4(s276)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s276) | (~node4(s276)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21423,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s276) | (~node4(s276)))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21424,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s276) | (~node4(s276))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21423, 21422])).
% 8.09/5.88 tff(21425,plain,
% 8.09/5.88 (~node4(s276)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21424, 16, 20125])).
% 8.09/5.88 tff(21426,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21427,plain,
% 8.09/5.88 ((node4(s276) | (~until5(s276)) | xuntil6(s276)) <=> (xuntil6(s276) | node4(s276) | (~until5(s276)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21428,plain,
% 8.09/5.88 (((~![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))))),
% 8.09/5.88 inference(monotonicity,[status(thm)],[21427])).
% 8.09/5.88 tff(21429,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(transitivity,[status(thm)],[21428, 21426])).
% 8.09/5.88 tff(21430,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s276) | (~until5(s276)) | xuntil6(s276))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21431,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s276) | node4(s276) | (~until5(s276))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21430, 21429])).
% 8.09/5.88 tff(21432,plain,
% 8.09/5.88 (xuntil6(s276) | (~until5(s276))),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21431, 352, 21425])).
% 8.09/5.88 tff(21433,plain,
% 8.09/5.88 (xuntil6(s276)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21432, 21421])).
% 8.09/5.88 tff(21434,plain,
% 8.09/5.88 (((~![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))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21435,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21436,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277)),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21435, 21434])).
% 8.09/5.88 tff(21437,plain,
% 8.09/5.88 ((~xuntil6(s276)) | until5(s277)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21436, 19646, 370])).
% 8.09/5.88 tff(21438,plain,
% 8.09/5.88 (until5(s277)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21437, 21433])).
% 8.09/5.88 tff(21439,plain,
% 8.09/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s277) | (~node4(s277)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s277) | (~node4(s277)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21440,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s277) | (~node4(s277)))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21441,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s277) | (~node4(s277))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21440, 21439])).
% 8.09/5.88 tff(21442,plain,
% 8.09/5.88 (~node4(s277)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21441, 16, 20124])).
% 8.09/5.88 tff(21443,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21444,plain,
% 8.09/5.88 ((node4(s277) | (~until5(s277)) | xuntil6(s277)) <=> (xuntil6(s277) | node4(s277) | (~until5(s277)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21445,plain,
% 8.09/5.88 (((~![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))))),
% 8.09/5.88 inference(monotonicity,[status(thm)],[21444])).
% 8.09/5.88 tff(21446,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(transitivity,[status(thm)],[21445, 21443])).
% 8.09/5.88 tff(21447,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s277) | (~until5(s277)) | xuntil6(s277))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21448,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s277) | node4(s277) | (~until5(s277))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21447, 21446])).
% 8.09/5.88 tff(21449,plain,
% 8.09/5.88 (xuntil6(s277) | (~until5(s277))),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21448, 352, 21442])).
% 8.09/5.88 tff(21450,plain,
% 8.09/5.88 (xuntil6(s277)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21449, 21438])).
% 8.09/5.88 tff(21451,plain,
% 8.09/5.88 (((~![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))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21452,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21453,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278)),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21452, 21451])).
% 8.09/5.88 tff(21454,plain,
% 8.09/5.88 ((~xuntil6(s277)) | until5(s278)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21453, 19634, 370])).
% 8.09/5.88 tff(21455,plain,
% 8.09/5.88 (until5(s278)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21454, 21450])).
% 8.09/5.88 tff(21456,plain,
% 8.09/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s278) | (~node4(s278)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s278) | (~node4(s278)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21457,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s278) | (~node4(s278)))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21458,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s278) | (~node4(s278))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21457, 21456])).
% 8.09/5.88 tff(21459,plain,
% 8.09/5.88 (~node4(s278)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21458, 16, 20123])).
% 8.09/5.88 tff(21460,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21461,plain,
% 8.09/5.88 ((node4(s278) | (~until5(s278)) | xuntil6(s278)) <=> (xuntil6(s278) | node4(s278) | (~until5(s278)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21462,plain,
% 8.09/5.88 (((~![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))))),
% 8.09/5.88 inference(monotonicity,[status(thm)],[21461])).
% 8.09/5.88 tff(21463,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(transitivity,[status(thm)],[21462, 21460])).
% 8.09/5.88 tff(21464,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s278) | (~until5(s278)) | xuntil6(s278))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21465,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s278) | node4(s278) | (~until5(s278))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21464, 21463])).
% 8.09/5.88 tff(21466,plain,
% 8.09/5.88 (xuntil6(s278) | (~until5(s278))),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21465, 352, 21459])).
% 8.09/5.88 tff(21467,plain,
% 8.09/5.88 (xuntil6(s278)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21466, 21455])).
% 8.09/5.88 tff(21468,plain,
% 8.09/5.88 (((~![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))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21469,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21470,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279)),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21469, 21468])).
% 8.09/5.88 tff(21471,plain,
% 8.09/5.88 ((~xuntil6(s278)) | until5(s279)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21470, 19622, 370])).
% 8.09/5.88 tff(21472,plain,
% 8.09/5.88 (until5(s279)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21471, 21467])).
% 8.09/5.88 tff(21473,plain,
% 8.09/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s279) | (~node4(s279)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s279) | (~node4(s279)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21474,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s279) | (~node4(s279)))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21475,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s279) | (~node4(s279))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21474, 21473])).
% 8.09/5.88 tff(21476,plain,
% 8.09/5.88 (~node4(s279)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21475, 16, 20122])).
% 8.09/5.88 tff(21477,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21478,plain,
% 8.09/5.88 ((node4(s279) | (~until5(s279)) | xuntil6(s279)) <=> (xuntil6(s279) | node4(s279) | (~until5(s279)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21479,plain,
% 8.09/5.88 (((~![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))))),
% 8.09/5.88 inference(monotonicity,[status(thm)],[21478])).
% 8.09/5.88 tff(21480,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(transitivity,[status(thm)],[21479, 21477])).
% 8.09/5.88 tff(21481,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s279) | (~until5(s279)) | xuntil6(s279))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21482,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s279) | node4(s279) | (~until5(s279))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21481, 21480])).
% 8.09/5.88 tff(21483,plain,
% 8.09/5.88 (xuntil6(s279) | (~until5(s279))),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21482, 352, 21476])).
% 8.09/5.88 tff(21484,plain,
% 8.09/5.88 (xuntil6(s279)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21483, 21472])).
% 8.09/5.88 tff(21485,plain,
% 8.09/5.88 (((~![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))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21486,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21487,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280)),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21486, 21485])).
% 8.09/5.88 tff(21488,plain,
% 8.09/5.88 ((~xuntil6(s279)) | until5(s280)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21487, 19610, 370])).
% 8.09/5.88 tff(21489,plain,
% 8.09/5.88 (until5(s280)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21488, 21484])).
% 8.09/5.88 tff(21490,plain,
% 8.09/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s280) | (~node4(s280)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s280) | (~node4(s280)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21491,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s280) | (~node4(s280)))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21492,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s280) | (~node4(s280))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21491, 21490])).
% 8.09/5.88 tff(21493,plain,
% 8.09/5.88 (~node4(s280)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21492, 16, 20121])).
% 8.09/5.88 tff(21494,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21495,plain,
% 8.09/5.88 ((node4(s280) | (~until5(s280)) | xuntil6(s280)) <=> (xuntil6(s280) | node4(s280) | (~until5(s280)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21496,plain,
% 8.09/5.88 (((~![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))))),
% 8.09/5.88 inference(monotonicity,[status(thm)],[21495])).
% 8.09/5.88 tff(21497,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(transitivity,[status(thm)],[21496, 21494])).
% 8.09/5.88 tff(21498,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s280) | (~until5(s280)) | xuntil6(s280))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21499,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s280) | node4(s280) | (~until5(s280))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21498, 21497])).
% 8.09/5.88 tff(21500,plain,
% 8.09/5.88 (xuntil6(s280) | (~until5(s280))),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21499, 352, 21493])).
% 8.09/5.88 tff(21501,plain,
% 8.09/5.88 (xuntil6(s280)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21500, 21489])).
% 8.09/5.88 tff(21502,plain,
% 8.09/5.88 (((~![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))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21503,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21504,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281)),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21503, 21502])).
% 8.09/5.88 tff(21505,plain,
% 8.09/5.88 ((~xuntil6(s280)) | until5(s281)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21504, 19598, 370])).
% 8.09/5.88 tff(21506,plain,
% 8.09/5.88 (until5(s281)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21505, 21501])).
% 8.09/5.88 tff(21507,plain,
% 8.09/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s281) | (~node4(s281)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s281) | (~node4(s281)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21508,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s281) | (~node4(s281)))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21509,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s281) | (~node4(s281))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21508, 21507])).
% 8.09/5.88 tff(21510,plain,
% 8.09/5.88 (~node4(s281)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21509, 16, 20120])).
% 8.09/5.88 tff(21511,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21512,plain,
% 8.09/5.88 ((node4(s281) | (~until5(s281)) | xuntil6(s281)) <=> (xuntil6(s281) | node4(s281) | (~until5(s281)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21513,plain,
% 8.09/5.88 (((~![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))))),
% 8.09/5.88 inference(monotonicity,[status(thm)],[21512])).
% 8.09/5.88 tff(21514,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(transitivity,[status(thm)],[21513, 21511])).
% 8.09/5.88 tff(21515,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s281) | (~until5(s281)) | xuntil6(s281))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21516,plain,
% 8.09/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s281) | node4(s281) | (~until5(s281))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21515, 21514])).
% 8.09/5.88 tff(21517,plain,
% 8.09/5.88 (xuntil6(s281) | (~until5(s281))),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21516, 352, 21510])).
% 8.09/5.88 tff(21518,plain,
% 8.09/5.88 (xuntil6(s281)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21517, 21506])).
% 8.09/5.88 tff(21519,plain,
% 8.09/5.88 (((~![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))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21520,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21521,plain,
% 8.09/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282)),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21520, 21519])).
% 8.09/5.88 tff(21522,plain,
% 8.09/5.88 ((~xuntil6(s281)) | until5(s282)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21521, 19586, 370])).
% 8.09/5.88 tff(21523,plain,
% 8.09/5.88 (until5(s282)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21522, 21518])).
% 8.09/5.88 tff(21524,plain,
% 8.09/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s282) | (~node4(s282)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s282) | (~node4(s282)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21525,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s282) | (~node4(s282)))),
% 8.09/5.88 inference(quant_inst,[status(thm)],[])).
% 8.09/5.88 tff(21526,plain,
% 8.09/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s282) | (~node4(s282))),
% 8.09/5.88 inference(modus_ponens,[status(thm)],[21525, 21524])).
% 8.09/5.88 tff(21527,plain,
% 8.09/5.88 (~node4(s282)),
% 8.09/5.88 inference(unit_resolution,[status(thm)],[21526, 16, 20119])).
% 8.09/5.88 tff(21528,plain,
% 8.09/5.88 (((~![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)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.88 tff(21529,plain,
% 8.09/5.88 ((node4(s282) | (~until5(s282)) | xuntil6(s282)) <=> (xuntil6(s282) | node4(s282) | (~until5(s282)))),
% 8.09/5.88 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21530,plain,
% 8.09/5.89 (((~![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))))),
% 8.09/5.89 inference(monotonicity,[status(thm)],[21529])).
% 8.09/5.89 tff(21531,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(transitivity,[status(thm)],[21530, 21528])).
% 8.09/5.89 tff(21532,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s282) | (~until5(s282)) | xuntil6(s282))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21533,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s282) | node4(s282) | (~until5(s282))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21532, 21531])).
% 8.09/5.89 tff(21534,plain,
% 8.09/5.89 (xuntil6(s282) | (~until5(s282))),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21533, 352, 21527])).
% 8.09/5.89 tff(21535,plain,
% 8.09/5.89 (xuntil6(s282)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21534, 21523])).
% 8.09/5.89 tff(21536,plain,
% 8.09/5.89 (((~![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))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21537,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21538,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283)),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21537, 21536])).
% 8.09/5.89 tff(21539,plain,
% 8.09/5.89 ((~xuntil6(s282)) | until5(s283)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21538, 19574, 370])).
% 8.09/5.89 tff(21540,plain,
% 8.09/5.89 (until5(s283)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21539, 21535])).
% 8.09/5.89 tff(21541,plain,
% 8.09/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s283) | (~node4(s283)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s283) | (~node4(s283)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21542,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s283) | (~node4(s283)))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21543,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s283) | (~node4(s283))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21542, 21541])).
% 8.09/5.89 tff(21544,plain,
% 8.09/5.89 (~node4(s283)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21543, 16, 20118])).
% 8.09/5.89 tff(21545,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21546,plain,
% 8.09/5.89 ((node4(s283) | (~until5(s283)) | xuntil6(s283)) <=> (xuntil6(s283) | node4(s283) | (~until5(s283)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21547,plain,
% 8.09/5.89 (((~![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))))),
% 8.09/5.89 inference(monotonicity,[status(thm)],[21546])).
% 8.09/5.89 tff(21548,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(transitivity,[status(thm)],[21547, 21545])).
% 8.09/5.89 tff(21549,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s283) | (~until5(s283)) | xuntil6(s283))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21550,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s283) | node4(s283) | (~until5(s283))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21549, 21548])).
% 8.09/5.89 tff(21551,plain,
% 8.09/5.89 (xuntil6(s283) | (~until5(s283))),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21550, 352, 21544])).
% 8.09/5.89 tff(21552,plain,
% 8.09/5.89 (xuntil6(s283)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21551, 21540])).
% 8.09/5.89 tff(21553,plain,
% 8.09/5.89 (((~![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))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21554,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21555,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284)),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21554, 21553])).
% 8.09/5.89 tff(21556,plain,
% 8.09/5.89 ((~xuntil6(s283)) | until5(s284)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21555, 19562, 370])).
% 8.09/5.89 tff(21557,plain,
% 8.09/5.89 (until5(s284)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21556, 21552])).
% 8.09/5.89 tff(21558,plain,
% 8.09/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s284) | (~node4(s284)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s284) | (~node4(s284)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21559,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s284) | (~node4(s284)))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21560,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s284) | (~node4(s284))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21559, 21558])).
% 8.09/5.89 tff(21561,plain,
% 8.09/5.89 (~node4(s284)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21560, 16, 20117])).
% 8.09/5.89 tff(21562,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21563,plain,
% 8.09/5.89 ((node4(s284) | (~until5(s284)) | xuntil6(s284)) <=> (xuntil6(s284) | node4(s284) | (~until5(s284)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21564,plain,
% 8.09/5.89 (((~![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))))),
% 8.09/5.89 inference(monotonicity,[status(thm)],[21563])).
% 8.09/5.89 tff(21565,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(transitivity,[status(thm)],[21564, 21562])).
% 8.09/5.89 tff(21566,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s284) | (~until5(s284)) | xuntil6(s284))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21567,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s284) | node4(s284) | (~until5(s284))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21566, 21565])).
% 8.09/5.89 tff(21568,plain,
% 8.09/5.89 (xuntil6(s284) | (~until5(s284))),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21567, 352, 21561])).
% 8.09/5.89 tff(21569,plain,
% 8.09/5.89 (xuntil6(s284)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21568, 21557])).
% 8.09/5.89 tff(21570,plain,
% 8.09/5.89 (((~![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))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21571,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21572,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285)),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21571, 21570])).
% 8.09/5.89 tff(21573,plain,
% 8.09/5.89 ((~xuntil6(s284)) | until5(s285)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21572, 19550, 370])).
% 8.09/5.89 tff(21574,plain,
% 8.09/5.89 (until5(s285)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21573, 21569])).
% 8.09/5.89 tff(21575,plain,
% 8.09/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s285) | (~node4(s285)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s285) | (~node4(s285)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21576,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s285) | (~node4(s285)))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21577,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s285) | (~node4(s285))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21576, 21575])).
% 8.09/5.89 tff(21578,plain,
% 8.09/5.89 (~node4(s285)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21577, 16, 20116])).
% 8.09/5.89 tff(21579,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21580,plain,
% 8.09/5.89 ((node4(s285) | (~until5(s285)) | xuntil6(s285)) <=> (xuntil6(s285) | node4(s285) | (~until5(s285)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21581,plain,
% 8.09/5.89 (((~![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))))),
% 8.09/5.89 inference(monotonicity,[status(thm)],[21580])).
% 8.09/5.89 tff(21582,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(transitivity,[status(thm)],[21581, 21579])).
% 8.09/5.89 tff(21583,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s285) | (~until5(s285)) | xuntil6(s285))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21584,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s285) | node4(s285) | (~until5(s285))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21583, 21582])).
% 8.09/5.89 tff(21585,plain,
% 8.09/5.89 (xuntil6(s285) | (~until5(s285))),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21584, 352, 21578])).
% 8.09/5.89 tff(21586,plain,
% 8.09/5.89 (xuntil6(s285)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21585, 21574])).
% 8.09/5.89 tff(21587,plain,
% 8.09/5.89 (((~![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))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21588,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21589,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286)),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21588, 21587])).
% 8.09/5.89 tff(21590,plain,
% 8.09/5.89 ((~xuntil6(s285)) | until5(s286)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21589, 19538, 370])).
% 8.09/5.89 tff(21591,plain,
% 8.09/5.89 (until5(s286)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21590, 21586])).
% 8.09/5.89 tff(21592,plain,
% 8.09/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s286) | (~node4(s286)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s286) | (~node4(s286)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21593,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s286) | (~node4(s286)))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21594,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s286) | (~node4(s286))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21593, 21592])).
% 8.09/5.89 tff(21595,plain,
% 8.09/5.89 (~node4(s286)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21594, 16, 20115])).
% 8.09/5.89 tff(21596,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21597,plain,
% 8.09/5.89 ((node4(s286) | (~until5(s286)) | xuntil6(s286)) <=> (xuntil6(s286) | node4(s286) | (~until5(s286)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21598,plain,
% 8.09/5.89 (((~![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))))),
% 8.09/5.89 inference(monotonicity,[status(thm)],[21597])).
% 8.09/5.89 tff(21599,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(transitivity,[status(thm)],[21598, 21596])).
% 8.09/5.89 tff(21600,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s286) | (~until5(s286)) | xuntil6(s286))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21601,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s286) | node4(s286) | (~until5(s286))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21600, 21599])).
% 8.09/5.89 tff(21602,plain,
% 8.09/5.89 (xuntil6(s286) | (~until5(s286))),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21601, 352, 21595])).
% 8.09/5.89 tff(21603,plain,
% 8.09/5.89 (xuntil6(s286)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21602, 21591])).
% 8.09/5.89 tff(21604,plain,
% 8.09/5.89 (((~![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))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21605,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21606,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287)),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21605, 21604])).
% 8.09/5.89 tff(21607,plain,
% 8.09/5.89 ((~xuntil6(s286)) | until5(s287)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21606, 19526, 370])).
% 8.09/5.89 tff(21608,plain,
% 8.09/5.89 (until5(s287)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21607, 21603])).
% 8.09/5.89 tff(21609,plain,
% 8.09/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s287) | (~node4(s287)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s287) | (~node4(s287)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21610,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s287) | (~node4(s287)))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21611,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s287) | (~node4(s287))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21610, 21609])).
% 8.09/5.89 tff(21612,plain,
% 8.09/5.89 (~node4(s287)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21611, 16, 20114])).
% 8.09/5.89 tff(21613,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21614,plain,
% 8.09/5.89 ((node4(s287) | (~until5(s287)) | xuntil6(s287)) <=> (xuntil6(s287) | node4(s287) | (~until5(s287)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21615,plain,
% 8.09/5.89 (((~![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))))),
% 8.09/5.89 inference(monotonicity,[status(thm)],[21614])).
% 8.09/5.89 tff(21616,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(transitivity,[status(thm)],[21615, 21613])).
% 8.09/5.89 tff(21617,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s287) | (~until5(s287)) | xuntil6(s287))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21618,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s287) | node4(s287) | (~until5(s287))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21617, 21616])).
% 8.09/5.89 tff(21619,plain,
% 8.09/5.89 (xuntil6(s287) | (~until5(s287))),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21618, 352, 21612])).
% 8.09/5.89 tff(21620,plain,
% 8.09/5.89 (xuntil6(s287)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21619, 21608])).
% 8.09/5.89 tff(21621,plain,
% 8.09/5.89 (((~![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))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21622,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21623,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288)),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21622, 21621])).
% 8.09/5.89 tff(21624,plain,
% 8.09/5.89 ((~xuntil6(s287)) | until5(s288)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21623, 19514, 370])).
% 8.09/5.89 tff(21625,plain,
% 8.09/5.89 (until5(s288)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21624, 21620])).
% 8.09/5.89 tff(21626,plain,
% 8.09/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s288) | (~node4(s288)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s288) | (~node4(s288)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21627,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s288) | (~node4(s288)))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21628,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s288) | (~node4(s288))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21627, 21626])).
% 8.09/5.89 tff(21629,plain,
% 8.09/5.89 (~node4(s288)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21628, 16, 20113])).
% 8.09/5.89 tff(21630,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21631,plain,
% 8.09/5.89 ((node4(s288) | (~until5(s288)) | xuntil6(s288)) <=> (xuntil6(s288) | node4(s288) | (~until5(s288)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21632,plain,
% 8.09/5.89 (((~![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))))),
% 8.09/5.89 inference(monotonicity,[status(thm)],[21631])).
% 8.09/5.89 tff(21633,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(transitivity,[status(thm)],[21632, 21630])).
% 8.09/5.89 tff(21634,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s288) | (~until5(s288)) | xuntil6(s288))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21635,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s288) | node4(s288) | (~until5(s288))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21634, 21633])).
% 8.09/5.89 tff(21636,plain,
% 8.09/5.89 (xuntil6(s288) | (~until5(s288))),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21635, 352, 21629])).
% 8.09/5.89 tff(21637,plain,
% 8.09/5.89 (xuntil6(s288)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21636, 21625])).
% 8.09/5.89 tff(21638,plain,
% 8.09/5.89 (((~![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))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21639,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21640,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289)),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21639, 21638])).
% 8.09/5.89 tff(21641,plain,
% 8.09/5.89 ((~xuntil6(s288)) | until5(s289)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21640, 19502, 370])).
% 8.09/5.89 tff(21642,plain,
% 8.09/5.89 (until5(s289)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21641, 21637])).
% 8.09/5.89 tff(21643,plain,
% 8.09/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s289) | (~node4(s289)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s289) | (~node4(s289)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21644,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s289) | (~node4(s289)))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21645,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s289) | (~node4(s289))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 8.09/5.89 tff(21646,plain,
% 8.09/5.89 (~node4(s289)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21645, 16, 20112])).
% 8.09/5.89 tff(21647,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21648,plain,
% 8.09/5.89 ((node4(s289) | (~until5(s289)) | xuntil6(s289)) <=> (xuntil6(s289) | node4(s289) | (~until5(s289)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21649,plain,
% 8.09/5.89 (((~![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))))),
% 8.09/5.89 inference(monotonicity,[status(thm)],[21648])).
% 8.09/5.89 tff(21650,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(transitivity,[status(thm)],[21649, 21647])).
% 8.09/5.89 tff(21651,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s289) | (~until5(s289)) | xuntil6(s289))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21652,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s289) | node4(s289) | (~until5(s289))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21651, 21650])).
% 8.09/5.89 tff(21653,plain,
% 8.09/5.89 (xuntil6(s289) | (~until5(s289))),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21652, 352, 21646])).
% 8.09/5.89 tff(21654,plain,
% 8.09/5.89 (xuntil6(s289)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21653, 21642])).
% 8.09/5.89 tff(21655,plain,
% 8.09/5.89 (((~![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))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21656,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21657,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290)),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21656, 21655])).
% 8.09/5.89 tff(21658,plain,
% 8.09/5.89 ((~xuntil6(s289)) | until5(s290)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21657, 19490, 370])).
% 8.09/5.89 tff(21659,plain,
% 8.09/5.89 (until5(s290)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21658, 21654])).
% 8.09/5.89 tff(21660,plain,
% 8.09/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s290) | (~node4(s290)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s290) | (~node4(s290)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21661,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s290) | (~node4(s290)))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21662,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s290) | (~node4(s290))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21661, 21660])).
% 8.09/5.89 tff(21663,plain,
% 8.09/5.89 (~node4(s290)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21662, 16, 20111])).
% 8.09/5.89 tff(21664,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21665,plain,
% 8.09/5.89 ((node4(s290) | (~until5(s290)) | xuntil6(s290)) <=> (xuntil6(s290) | node4(s290) | (~until5(s290)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21666,plain,
% 8.09/5.89 (((~![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))))),
% 8.09/5.89 inference(monotonicity,[status(thm)],[21665])).
% 8.09/5.89 tff(21667,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(transitivity,[status(thm)],[21666, 21664])).
% 8.09/5.89 tff(21668,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s290) | (~until5(s290)) | xuntil6(s290))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21669,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s290) | node4(s290) | (~until5(s290))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21668, 21667])).
% 8.09/5.89 tff(21670,plain,
% 8.09/5.89 (xuntil6(s290) | (~until5(s290))),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21669, 352, 21663])).
% 8.09/5.89 tff(21671,plain,
% 8.09/5.89 (xuntil6(s290)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21670, 21659])).
% 8.09/5.89 tff(21672,plain,
% 8.09/5.89 (((~![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))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21673,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21674,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291)),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21673, 21672])).
% 8.09/5.89 tff(21675,plain,
% 8.09/5.89 ((~xuntil6(s290)) | until5(s291)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21674, 19478, 370])).
% 8.09/5.89 tff(21676,plain,
% 8.09/5.89 (until5(s291)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21675, 21671])).
% 8.09/5.89 tff(21677,plain,
% 8.09/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s291) | (~node4(s291)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s291) | (~node4(s291)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21678,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s291) | (~node4(s291)))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21679,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s291) | (~node4(s291))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21678, 21677])).
% 8.09/5.89 tff(21680,plain,
% 8.09/5.89 (~node4(s291)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21679, 16, 20110])).
% 8.09/5.89 tff(21681,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21682,plain,
% 8.09/5.89 ((node4(s291) | (~until5(s291)) | xuntil6(s291)) <=> (xuntil6(s291) | node4(s291) | (~until5(s291)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21683,plain,
% 8.09/5.89 (((~![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))))),
% 8.09/5.89 inference(monotonicity,[status(thm)],[21682])).
% 8.09/5.89 tff(21684,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(transitivity,[status(thm)],[21683, 21681])).
% 8.09/5.89 tff(21685,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s291) | (~until5(s291)) | xuntil6(s291))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21686,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s291) | node4(s291) | (~until5(s291))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21685, 21684])).
% 8.09/5.89 tff(21687,plain,
% 8.09/5.89 (xuntil6(s291) | (~until5(s291))),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21686, 352, 21680])).
% 8.09/5.89 tff(21688,plain,
% 8.09/5.89 (xuntil6(s291)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21687, 21676])).
% 8.09/5.89 tff(21689,plain,
% 8.09/5.89 (((~![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))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21690,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21691,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292)),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21690, 21689])).
% 8.09/5.89 tff(21692,plain,
% 8.09/5.89 ((~xuntil6(s291)) | until5(s292)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21691, 19466, 370])).
% 8.09/5.89 tff(21693,plain,
% 8.09/5.89 (until5(s292)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21692, 21688])).
% 8.09/5.89 tff(21694,plain,
% 8.09/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s292) | (~node4(s292)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s292) | (~node4(s292)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21695,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s292) | (~node4(s292)))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21696,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s292) | (~node4(s292))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21695, 21694])).
% 8.09/5.89 tff(21697,plain,
% 8.09/5.89 (~node4(s292)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21696, 16, 20109])).
% 8.09/5.89 tff(21698,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21699,plain,
% 8.09/5.89 ((node4(s292) | (~until5(s292)) | xuntil6(s292)) <=> (xuntil6(s292) | node4(s292) | (~until5(s292)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21700,plain,
% 8.09/5.89 (((~![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))))),
% 8.09/5.89 inference(monotonicity,[status(thm)],[21699])).
% 8.09/5.89 tff(21701,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(transitivity,[status(thm)],[21700, 21698])).
% 8.09/5.89 tff(21702,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s292) | (~until5(s292)) | xuntil6(s292))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21703,plain,
% 8.09/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s292) | node4(s292) | (~until5(s292))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21702, 21701])).
% 8.09/5.89 tff(21704,plain,
% 8.09/5.89 (xuntil6(s292) | (~until5(s292))),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21703, 352, 21697])).
% 8.09/5.89 tff(21705,plain,
% 8.09/5.89 (xuntil6(s292)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21704, 21693])).
% 8.09/5.89 tff(21706,plain,
% 8.09/5.89 (((~![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))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21707,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21708,plain,
% 8.09/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293)),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21707, 21706])).
% 8.09/5.89 tff(21709,plain,
% 8.09/5.89 ((~xuntil6(s292)) | until5(s293)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21708, 19454, 370])).
% 8.09/5.89 tff(21710,plain,
% 8.09/5.89 (until5(s293)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21709, 21705])).
% 8.09/5.89 tff(21711,plain,
% 8.09/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s293) | (~node4(s293)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s293) | (~node4(s293)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21712,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s293) | (~node4(s293)))),
% 8.09/5.89 inference(quant_inst,[status(thm)],[])).
% 8.09/5.89 tff(21713,plain,
% 8.09/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s293) | (~node4(s293))),
% 8.09/5.89 inference(modus_ponens,[status(thm)],[21712, 21711])).
% 8.09/5.89 tff(21714,plain,
% 8.09/5.89 (~node4(s293)),
% 8.09/5.89 inference(unit_resolution,[status(thm)],[21713, 16, 20108])).
% 8.09/5.89 tff(21715,plain,
% 8.09/5.89 (((~![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)))),
% 8.09/5.89 inference(rewrite,[status(thm)],[])).
% 8.09/5.89 tff(21716,plain,
% 8.09/5.89 ((node4(s293) | (~until5(s293)) | xuntil6(s293)) <=> (xuntil6(s293) | node4(s293) | (~until5(s293)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21717,plain,
% 8.09/5.90 (((~![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))))),
% 8.09/5.90 inference(monotonicity,[status(thm)],[21716])).
% 8.09/5.90 tff(21718,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(transitivity,[status(thm)],[21717, 21715])).
% 8.09/5.90 tff(21719,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s293) | (~until5(s293)) | xuntil6(s293))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21720,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s293) | node4(s293) | (~until5(s293))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21719, 21718])).
% 8.09/5.90 tff(21721,plain,
% 8.09/5.90 (xuntil6(s293) | (~until5(s293))),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21720, 352, 21714])).
% 8.09/5.90 tff(21722,plain,
% 8.09/5.90 (xuntil6(s293)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21721, 21710])).
% 8.09/5.90 tff(21723,plain,
% 8.09/5.90 (((~![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))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21724,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21725,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294)),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21724, 21723])).
% 8.09/5.90 tff(21726,plain,
% 8.09/5.90 ((~xuntil6(s293)) | until5(s294)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21725, 19442, 370])).
% 8.09/5.90 tff(21727,plain,
% 8.09/5.90 (until5(s294)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21726, 21722])).
% 8.09/5.90 tff(21728,plain,
% 8.09/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s294) | (~node4(s294)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s294) | (~node4(s294)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21729,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s294) | (~node4(s294)))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21730,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s294) | (~node4(s294))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21729, 21728])).
% 8.09/5.90 tff(21731,plain,
% 8.09/5.90 (~node4(s294)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21730, 16, 20107])).
% 8.09/5.90 tff(21732,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21733,plain,
% 8.09/5.90 ((node4(s294) | (~until5(s294)) | xuntil6(s294)) <=> (xuntil6(s294) | node4(s294) | (~until5(s294)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21734,plain,
% 8.09/5.90 (((~![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))))),
% 8.09/5.90 inference(monotonicity,[status(thm)],[21733])).
% 8.09/5.90 tff(21735,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(transitivity,[status(thm)],[21734, 21732])).
% 8.09/5.90 tff(21736,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s294) | (~until5(s294)) | xuntil6(s294))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21737,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s294) | node4(s294) | (~until5(s294))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21736, 21735])).
% 8.09/5.90 tff(21738,plain,
% 8.09/5.90 (xuntil6(s294) | (~until5(s294))),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21737, 352, 21731])).
% 8.09/5.90 tff(21739,plain,
% 8.09/5.90 (xuntil6(s294)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21738, 21727])).
% 8.09/5.90 tff(21740,plain,
% 8.09/5.90 (((~![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))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21741,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21742,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295)),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21741, 21740])).
% 8.09/5.90 tff(21743,plain,
% 8.09/5.90 ((~xuntil6(s294)) | until5(s295)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21742, 19430, 370])).
% 8.09/5.90 tff(21744,plain,
% 8.09/5.90 (until5(s295)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21743, 21739])).
% 8.09/5.90 tff(21745,plain,
% 8.09/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s295) | (~node4(s295)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s295) | (~node4(s295)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21746,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s295) | (~node4(s295)))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21747,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s295) | (~node4(s295))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21746, 21745])).
% 8.09/5.90 tff(21748,plain,
% 8.09/5.90 (~node4(s295)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21747, 16, 20106])).
% 8.09/5.90 tff(21749,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21750,plain,
% 8.09/5.90 ((node4(s295) | (~until5(s295)) | xuntil6(s295)) <=> (xuntil6(s295) | node4(s295) | (~until5(s295)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21751,plain,
% 8.09/5.90 (((~![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))))),
% 8.09/5.90 inference(monotonicity,[status(thm)],[21750])).
% 8.09/5.90 tff(21752,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(transitivity,[status(thm)],[21751, 21749])).
% 8.09/5.90 tff(21753,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s295) | (~until5(s295)) | xuntil6(s295))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21754,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s295) | node4(s295) | (~until5(s295))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21753, 21752])).
% 8.09/5.90 tff(21755,plain,
% 8.09/5.90 (xuntil6(s295) | (~until5(s295))),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21754, 352, 21748])).
% 8.09/5.90 tff(21756,plain,
% 8.09/5.90 (xuntil6(s295)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21755, 21744])).
% 8.09/5.90 tff(21757,plain,
% 8.09/5.90 (((~![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))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21758,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21759,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296)),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21758, 21757])).
% 8.09/5.90 tff(21760,plain,
% 8.09/5.90 ((~xuntil6(s295)) | until5(s296)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21759, 19418, 370])).
% 8.09/5.90 tff(21761,plain,
% 8.09/5.90 (until5(s296)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21760, 21756])).
% 8.09/5.90 tff(21762,plain,
% 8.09/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s296) | (~node4(s296)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s296) | (~node4(s296)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21763,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s296) | (~node4(s296)))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21764,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s296) | (~node4(s296))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21763, 21762])).
% 8.09/5.90 tff(21765,plain,
% 8.09/5.90 (~node4(s296)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21764, 16, 20105])).
% 8.09/5.90 tff(21766,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21767,plain,
% 8.09/5.90 ((node4(s296) | (~until5(s296)) | xuntil6(s296)) <=> (xuntil6(s296) | node4(s296) | (~until5(s296)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21768,plain,
% 8.09/5.90 (((~![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))))),
% 8.09/5.90 inference(monotonicity,[status(thm)],[21767])).
% 8.09/5.90 tff(21769,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(transitivity,[status(thm)],[21768, 21766])).
% 8.09/5.90 tff(21770,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s296) | (~until5(s296)) | xuntil6(s296))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21771,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s296) | node4(s296) | (~until5(s296))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21770, 21769])).
% 8.09/5.90 tff(21772,plain,
% 8.09/5.90 (xuntil6(s296) | (~until5(s296))),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21771, 352, 21765])).
% 8.09/5.90 tff(21773,plain,
% 8.09/5.90 (xuntil6(s296)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21772, 21761])).
% 8.09/5.90 tff(21774,plain,
% 8.09/5.90 (((~![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))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21775,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21776,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297)),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21775, 21774])).
% 8.09/5.90 tff(21777,plain,
% 8.09/5.90 ((~xuntil6(s296)) | until5(s297)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21776, 19406, 370])).
% 8.09/5.90 tff(21778,plain,
% 8.09/5.90 (until5(s297)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21777, 21773])).
% 8.09/5.90 tff(21779,plain,
% 8.09/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s297) | (~node4(s297)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s297) | (~node4(s297)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21780,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s297) | (~node4(s297)))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21781,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s297) | (~node4(s297))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21780, 21779])).
% 8.09/5.90 tff(21782,plain,
% 8.09/5.90 (~node4(s297)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21781, 16, 20104])).
% 8.09/5.90 tff(21783,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21784,plain,
% 8.09/5.90 ((node4(s297) | (~until5(s297)) | xuntil6(s297)) <=> (xuntil6(s297) | node4(s297) | (~until5(s297)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21785,plain,
% 8.09/5.90 (((~![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))))),
% 8.09/5.90 inference(monotonicity,[status(thm)],[21784])).
% 8.09/5.90 tff(21786,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(transitivity,[status(thm)],[21785, 21783])).
% 8.09/5.90 tff(21787,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s297) | (~until5(s297)) | xuntil6(s297))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21788,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s297) | node4(s297) | (~until5(s297))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21787, 21786])).
% 8.09/5.90 tff(21789,plain,
% 8.09/5.90 (xuntil6(s297) | (~until5(s297))),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21788, 352, 21782])).
% 8.09/5.90 tff(21790,plain,
% 8.09/5.90 (xuntil6(s297)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21789, 21778])).
% 8.09/5.90 tff(21791,plain,
% 8.09/5.90 (((~![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))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21792,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21793,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298)),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21792, 21791])).
% 8.09/5.90 tff(21794,plain,
% 8.09/5.90 ((~xuntil6(s297)) | until5(s298)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21793, 19394, 370])).
% 8.09/5.90 tff(21795,plain,
% 8.09/5.90 (until5(s298)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21794, 21790])).
% 8.09/5.90 tff(21796,plain,
% 8.09/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s298) | (~node4(s298)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s298) | (~node4(s298)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21797,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s298) | (~node4(s298)))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21798,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s298) | (~node4(s298))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21797, 21796])).
% 8.09/5.90 tff(21799,plain,
% 8.09/5.90 (~node4(s298)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21798, 16, 20103])).
% 8.09/5.90 tff(21800,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21801,plain,
% 8.09/5.90 ((node4(s298) | (~until5(s298)) | xuntil6(s298)) <=> (xuntil6(s298) | node4(s298) | (~until5(s298)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21802,plain,
% 8.09/5.90 (((~![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))))),
% 8.09/5.90 inference(monotonicity,[status(thm)],[21801])).
% 8.09/5.90 tff(21803,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(transitivity,[status(thm)],[21802, 21800])).
% 8.09/5.90 tff(21804,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s298) | (~until5(s298)) | xuntil6(s298))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21805,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s298) | node4(s298) | (~until5(s298))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21804, 21803])).
% 8.09/5.90 tff(21806,plain,
% 8.09/5.90 (xuntil6(s298) | (~until5(s298))),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21805, 352, 21799])).
% 8.09/5.90 tff(21807,plain,
% 8.09/5.90 (xuntil6(s298)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21806, 21795])).
% 8.09/5.90 tff(21808,plain,
% 8.09/5.90 (((~![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))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21809,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21810,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299)),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21809, 21808])).
% 8.09/5.90 tff(21811,plain,
% 8.09/5.90 ((~xuntil6(s298)) | until5(s299)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21810, 19382, 370])).
% 8.09/5.90 tff(21812,plain,
% 8.09/5.90 (until5(s299)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21811, 21807])).
% 8.09/5.90 tff(21813,plain,
% 8.09/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s299) | (~node4(s299)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s299) | (~node4(s299)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21814,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s299) | (~node4(s299)))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21815,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s299) | (~node4(s299))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21814, 21813])).
% 8.09/5.90 tff(21816,plain,
% 8.09/5.90 (~node4(s299)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21815, 16, 20102])).
% 8.09/5.90 tff(21817,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21818,plain,
% 8.09/5.90 ((node4(s299) | (~until5(s299)) | xuntil6(s299)) <=> (xuntil6(s299) | node4(s299) | (~until5(s299)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21819,plain,
% 8.09/5.90 (((~![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))))),
% 8.09/5.90 inference(monotonicity,[status(thm)],[21818])).
% 8.09/5.90 tff(21820,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(transitivity,[status(thm)],[21819, 21817])).
% 8.09/5.90 tff(21821,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s299) | (~until5(s299)) | xuntil6(s299))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21822,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s299) | node4(s299) | (~until5(s299))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21821, 21820])).
% 8.09/5.90 tff(21823,plain,
% 8.09/5.90 (xuntil6(s299) | (~until5(s299))),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21822, 352, 21816])).
% 8.09/5.90 tff(21824,plain,
% 8.09/5.90 (xuntil6(s299)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21823, 21812])).
% 8.09/5.90 tff(21825,plain,
% 8.09/5.90 (((~![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))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21826,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s299, s300)) | (~xuntil6(s299)) | until5(s300))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21827,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s299, s300)) | (~xuntil6(s299)) | until5(s300)),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21826, 21825])).
% 8.09/5.90 tff(21828,plain,
% 8.09/5.90 ((~xuntil6(s299)) | until5(s300)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21827, 19370, 370])).
% 8.09/5.90 tff(21829,plain,
% 8.09/5.90 (until5(s300)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21828, 21824])).
% 8.09/5.90 tff(21830,plain,
% 8.09/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s300) | (~node4(s300)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s300) | (~node4(s300)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21831,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s300) | (~node4(s300)))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21832,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s300) | (~node4(s300))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21831, 21830])).
% 8.09/5.90 tff(21833,plain,
% 8.09/5.90 (~node4(s300)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21832, 16, 20101])).
% 8.09/5.90 tff(21834,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21835,plain,
% 8.09/5.90 ((node4(s300) | (~until5(s300)) | xuntil6(s300)) <=> (xuntil6(s300) | node4(s300) | (~until5(s300)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21836,plain,
% 8.09/5.90 (((~![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))))),
% 8.09/5.90 inference(monotonicity,[status(thm)],[21835])).
% 8.09/5.90 tff(21837,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(transitivity,[status(thm)],[21836, 21834])).
% 8.09/5.90 tff(21838,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s300) | (~until5(s300)) | xuntil6(s300))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21839,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s300) | node4(s300) | (~until5(s300))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21838, 21837])).
% 8.09/5.90 tff(21840,plain,
% 8.09/5.90 (xuntil6(s300) | (~until5(s300))),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21839, 352, 21833])).
% 8.09/5.90 tff(21841,plain,
% 8.09/5.90 (xuntil6(s300)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21840, 21829])).
% 8.09/5.90 tff(21842,plain,
% 8.09/5.90 (((~![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))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21843,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s300, s301)) | (~xuntil6(s300)) | until5(s301))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21844,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s300, s301)) | (~xuntil6(s300)) | until5(s301)),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21843, 21842])).
% 8.09/5.90 tff(21845,plain,
% 8.09/5.90 ((~xuntil6(s300)) | until5(s301)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21844, 19358, 370])).
% 8.09/5.90 tff(21846,plain,
% 8.09/5.90 (until5(s301)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21845, 21841])).
% 8.09/5.90 tff(21847,plain,
% 8.09/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s301) | (~node4(s301)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s301) | (~node4(s301)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21848,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s301) | (~node4(s301)))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21849,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s301) | (~node4(s301))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21848, 21847])).
% 8.09/5.90 tff(21850,plain,
% 8.09/5.90 (~node4(s301)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21849, 16, 20100])).
% 8.09/5.90 tff(21851,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21852,plain,
% 8.09/5.90 ((node4(s301) | (~until5(s301)) | xuntil6(s301)) <=> (xuntil6(s301) | node4(s301) | (~until5(s301)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21853,plain,
% 8.09/5.90 (((~![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))))),
% 8.09/5.90 inference(monotonicity,[status(thm)],[21852])).
% 8.09/5.90 tff(21854,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(transitivity,[status(thm)],[21853, 21851])).
% 8.09/5.90 tff(21855,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s301) | (~until5(s301)) | xuntil6(s301))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21856,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s301) | node4(s301) | (~until5(s301))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21855, 21854])).
% 8.09/5.90 tff(21857,plain,
% 8.09/5.90 (xuntil6(s301) | (~until5(s301))),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21856, 352, 21850])).
% 8.09/5.90 tff(21858,plain,
% 8.09/5.90 (xuntil6(s301)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21857, 21846])).
% 8.09/5.90 tff(21859,plain,
% 8.09/5.90 (((~![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))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21860,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s301, s302)) | (~xuntil6(s301)) | until5(s302))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21861,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s301, s302)) | (~xuntil6(s301)) | until5(s302)),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21860, 21859])).
% 8.09/5.90 tff(21862,plain,
% 8.09/5.90 ((~xuntil6(s301)) | until5(s302)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21861, 19346, 370])).
% 8.09/5.90 tff(21863,plain,
% 8.09/5.90 (until5(s302)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21862, 21858])).
% 8.09/5.90 tff(21864,plain,
% 8.09/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s302) | (~node4(s302)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s302) | (~node4(s302)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21865,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s302) | (~node4(s302)))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21866,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s302) | (~node4(s302))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21865, 21864])).
% 8.09/5.90 tff(21867,plain,
% 8.09/5.90 (~node4(s302)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21866, 16, 20099])).
% 8.09/5.90 tff(21868,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21869,plain,
% 8.09/5.90 ((node4(s302) | (~until5(s302)) | xuntil6(s302)) <=> (xuntil6(s302) | node4(s302) | (~until5(s302)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21870,plain,
% 8.09/5.90 (((~![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))))),
% 8.09/5.90 inference(monotonicity,[status(thm)],[21869])).
% 8.09/5.90 tff(21871,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(transitivity,[status(thm)],[21870, 21868])).
% 8.09/5.90 tff(21872,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s302) | (~until5(s302)) | xuntil6(s302))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21873,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s302) | node4(s302) | (~until5(s302))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21872, 21871])).
% 8.09/5.90 tff(21874,plain,
% 8.09/5.90 (xuntil6(s302) | (~until5(s302))),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21873, 352, 21867])).
% 8.09/5.90 tff(21875,plain,
% 8.09/5.90 (xuntil6(s302)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21874, 21863])).
% 8.09/5.90 tff(21876,plain,
% 8.09/5.90 (((~![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))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21877,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s302, s303)) | (~xuntil6(s302)) | until5(s303))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21878,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s302, s303)) | (~xuntil6(s302)) | until5(s303)),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21877, 21876])).
% 8.09/5.90 tff(21879,plain,
% 8.09/5.90 ((~xuntil6(s302)) | until5(s303)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21878, 19334, 370])).
% 8.09/5.90 tff(21880,plain,
% 8.09/5.90 (until5(s303)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21879, 21875])).
% 8.09/5.90 tff(21881,plain,
% 8.09/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s303) | (~node4(s303)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s303) | (~node4(s303)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21882,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s303) | (~node4(s303)))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21883,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s303) | (~node4(s303))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21882, 21881])).
% 8.09/5.90 tff(21884,plain,
% 8.09/5.90 (~node4(s303)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21883, 16, 20098])).
% 8.09/5.90 tff(21885,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21886,plain,
% 8.09/5.90 ((node4(s303) | (~until5(s303)) | xuntil6(s303)) <=> (xuntil6(s303) | node4(s303) | (~until5(s303)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21887,plain,
% 8.09/5.90 (((~![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))))),
% 8.09/5.90 inference(monotonicity,[status(thm)],[21886])).
% 8.09/5.90 tff(21888,plain,
% 8.09/5.90 (((~![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)))),
% 8.09/5.90 inference(transitivity,[status(thm)],[21887, 21885])).
% 8.09/5.90 tff(21889,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s303) | (~until5(s303)) | xuntil6(s303))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21890,plain,
% 8.09/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s303) | node4(s303) | (~until5(s303))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21889, 21888])).
% 8.09/5.90 tff(21891,plain,
% 8.09/5.90 (xuntil6(s303) | (~until5(s303))),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21890, 352, 21884])).
% 8.09/5.90 tff(21892,plain,
% 8.09/5.90 (xuntil6(s303)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21891, 21880])).
% 8.09/5.90 tff(21893,plain,
% 8.09/5.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s303, s304)) | (~xuntil6(s303)) | until5(s304))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s303, s304)) | (~xuntil6(s303)) | until5(s304))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21894,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s303, s304)) | (~xuntil6(s303)) | until5(s304))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21895,plain,
% 8.09/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s303, s304)) | (~xuntil6(s303)) | until5(s304)),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21894, 21893])).
% 8.09/5.90 tff(21896,plain,
% 8.09/5.90 ((~xuntil6(s303)) | until5(s304)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21895, 19322, 370])).
% 8.09/5.90 tff(21897,plain,
% 8.09/5.90 (until5(s304)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21896, 21892])).
% 8.09/5.90 tff(21898,plain,
% 8.09/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s304) | (~node4(s304)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s304) | (~node4(s304)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.90 tff(21899,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s304) | (~node4(s304)))),
% 8.09/5.90 inference(quant_inst,[status(thm)],[])).
% 8.09/5.90 tff(21900,plain,
% 8.09/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s304) | (~node4(s304))),
% 8.09/5.90 inference(modus_ponens,[status(thm)],[21899, 21898])).
% 8.09/5.90 tff(21901,plain,
% 8.09/5.90 (~node4(s304)),
% 8.09/5.90 inference(unit_resolution,[status(thm)],[21900, 16, 20097])).
% 8.09/5.90 tff(21902,plain,
% 8.09/5.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s304) | node4(s304) | (~until5(s304)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s304) | node4(s304) | (~until5(s304)))),
% 8.09/5.90 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21903,plain,
% 8.09/5.91 ((node4(s304) | (~until5(s304)) | xuntil6(s304)) <=> (xuntil6(s304) | node4(s304) | (~until5(s304)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21904,plain,
% 8.09/5.91 (((~![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))))),
% 8.09/5.91 inference(monotonicity,[status(thm)],[21903])).
% 8.09/5.91 tff(21905,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(transitivity,[status(thm)],[21904, 21902])).
% 8.09/5.91 tff(21906,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s304) | (~until5(s304)) | xuntil6(s304))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21907,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s304) | node4(s304) | (~until5(s304))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21906, 21905])).
% 8.09/5.91 tff(21908,plain,
% 8.09/5.91 (xuntil6(s304) | (~until5(s304))),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21907, 352, 21901])).
% 8.09/5.91 tff(21909,plain,
% 8.09/5.91 (xuntil6(s304)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21908, 21897])).
% 8.09/5.91 tff(21910,plain,
% 8.09/5.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s304, s305)) | (~xuntil6(s304)) | until5(s305))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s304, s305)) | (~xuntil6(s304)) | until5(s305))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21911,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s304, s305)) | (~xuntil6(s304)) | until5(s305))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21912,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s304, s305)) | (~xuntil6(s304)) | until5(s305)),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21911, 21910])).
% 8.09/5.91 tff(21913,plain,
% 8.09/5.91 ((~xuntil6(s304)) | until5(s305)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21912, 19310, 370])).
% 8.09/5.91 tff(21914,plain,
% 8.09/5.91 (until5(s305)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21913, 21909])).
% 8.09/5.91 tff(21915,plain,
% 8.09/5.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s305) | (~node4(s305)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s305) | (~node4(s305)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21916,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s305) | (~node4(s305)))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21917,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s305) | (~node4(s305))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21916, 21915])).
% 8.09/5.91 tff(21918,plain,
% 8.09/5.91 (~node4(s305)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21917, 16, 20096])).
% 8.09/5.91 tff(21919,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21920,plain,
% 8.09/5.91 ((node4(s305) | (~until5(s305)) | xuntil6(s305)) <=> (xuntil6(s305) | node4(s305) | (~until5(s305)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21921,plain,
% 8.09/5.91 (((~![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))))),
% 8.09/5.91 inference(monotonicity,[status(thm)],[21920])).
% 8.09/5.91 tff(21922,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(transitivity,[status(thm)],[21921, 21919])).
% 8.09/5.91 tff(21923,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s305) | (~until5(s305)) | xuntil6(s305))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21924,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s305) | node4(s305) | (~until5(s305))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21923, 21922])).
% 8.09/5.91 tff(21925,plain,
% 8.09/5.91 (xuntil6(s305) | (~until5(s305))),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21924, 352, 21918])).
% 8.09/5.91 tff(21926,plain,
% 8.09/5.91 (xuntil6(s305)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21925, 21914])).
% 8.09/5.91 tff(21927,plain,
% 8.09/5.91 (((~![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))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21928,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s305, s306)) | (~xuntil6(s305)) | until5(s306))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21929,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s305, s306)) | (~xuntil6(s305)) | until5(s306)),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21928, 21927])).
% 8.09/5.91 tff(21930,plain,
% 8.09/5.91 ((~xuntil6(s305)) | until5(s306)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21929, 19298, 370])).
% 8.09/5.91 tff(21931,plain,
% 8.09/5.91 (until5(s306)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21930, 21926])).
% 8.09/5.91 tff(21932,plain,
% 8.09/5.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s306) | (~node4(s306)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s306) | (~node4(s306)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21933,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s306) | (~node4(s306)))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21934,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s306) | (~node4(s306))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21933, 21932])).
% 8.09/5.91 tff(21935,plain,
% 8.09/5.91 (~node4(s306)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21934, 16, 20095])).
% 8.09/5.91 tff(21936,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21937,plain,
% 8.09/5.91 ((node4(s306) | (~until5(s306)) | xuntil6(s306)) <=> (xuntil6(s306) | node4(s306) | (~until5(s306)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21938,plain,
% 8.09/5.91 (((~![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))))),
% 8.09/5.91 inference(monotonicity,[status(thm)],[21937])).
% 8.09/5.91 tff(21939,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(transitivity,[status(thm)],[21938, 21936])).
% 8.09/5.91 tff(21940,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s306) | (~until5(s306)) | xuntil6(s306))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21941,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s306) | node4(s306) | (~until5(s306))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21940, 21939])).
% 8.09/5.91 tff(21942,plain,
% 8.09/5.91 (xuntil6(s306) | (~until5(s306))),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21941, 352, 21935])).
% 8.09/5.91 tff(21943,plain,
% 8.09/5.91 (xuntil6(s306)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21942, 21931])).
% 8.09/5.91 tff(21944,plain,
% 8.09/5.91 (((~![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))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21945,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s306, s307)) | (~xuntil6(s306)) | until5(s307))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21946,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s306, s307)) | (~xuntil6(s306)) | until5(s307)),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21945, 21944])).
% 8.09/5.91 tff(21947,plain,
% 8.09/5.91 ((~xuntil6(s306)) | until5(s307)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21946, 19286, 370])).
% 8.09/5.91 tff(21948,plain,
% 8.09/5.91 (until5(s307)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21947, 21943])).
% 8.09/5.91 tff(21949,plain,
% 8.09/5.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s307) | (~node4(s307)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s307) | (~node4(s307)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21950,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s307) | (~node4(s307)))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21951,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s307) | (~node4(s307))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21950, 21949])).
% 8.09/5.91 tff(21952,plain,
% 8.09/5.91 (~node4(s307)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21951, 16, 20094])).
% 8.09/5.91 tff(21953,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21954,plain,
% 8.09/5.91 ((node4(s307) | (~until5(s307)) | xuntil6(s307)) <=> (xuntil6(s307) | node4(s307) | (~until5(s307)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21955,plain,
% 8.09/5.91 (((~![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))))),
% 8.09/5.91 inference(monotonicity,[status(thm)],[21954])).
% 8.09/5.91 tff(21956,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(transitivity,[status(thm)],[21955, 21953])).
% 8.09/5.91 tff(21957,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s307) | (~until5(s307)) | xuntil6(s307))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21958,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s307) | node4(s307) | (~until5(s307))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21957, 21956])).
% 8.09/5.91 tff(21959,plain,
% 8.09/5.91 (xuntil6(s307) | (~until5(s307))),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21958, 352, 21952])).
% 8.09/5.91 tff(21960,plain,
% 8.09/5.91 (xuntil6(s307)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21959, 21948])).
% 8.09/5.91 tff(21961,plain,
% 8.09/5.91 (((~![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))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21962,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s307, s308)) | (~xuntil6(s307)) | until5(s308))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21963,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s307, s308)) | (~xuntil6(s307)) | until5(s308)),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21962, 21961])).
% 8.09/5.91 tff(21964,plain,
% 8.09/5.91 ((~xuntil6(s307)) | until5(s308)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21963, 19274, 370])).
% 8.09/5.91 tff(21965,plain,
% 8.09/5.91 (until5(s308)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21964, 21960])).
% 8.09/5.91 tff(21966,plain,
% 8.09/5.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s308) | (~node4(s308)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s308) | (~node4(s308)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21967,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s308) | (~node4(s308)))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21968,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s308) | (~node4(s308))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21967, 21966])).
% 8.09/5.91 tff(21969,plain,
% 8.09/5.91 (~node4(s308)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21968, 16, 20093])).
% 8.09/5.91 tff(21970,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21971,plain,
% 8.09/5.91 ((node4(s308) | (~until5(s308)) | xuntil6(s308)) <=> (xuntil6(s308) | node4(s308) | (~until5(s308)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21972,plain,
% 8.09/5.91 (((~![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))))),
% 8.09/5.91 inference(monotonicity,[status(thm)],[21971])).
% 8.09/5.91 tff(21973,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(transitivity,[status(thm)],[21972, 21970])).
% 8.09/5.91 tff(21974,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s308) | (~until5(s308)) | xuntil6(s308))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21975,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s308) | node4(s308) | (~until5(s308))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21974, 21973])).
% 8.09/5.91 tff(21976,plain,
% 8.09/5.91 (xuntil6(s308) | (~until5(s308))),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21975, 352, 21969])).
% 8.09/5.91 tff(21977,plain,
% 8.09/5.91 (xuntil6(s308)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21976, 21965])).
% 8.09/5.91 tff(21978,plain,
% 8.09/5.91 (((~![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))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21979,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s308, s309)) | (~xuntil6(s308)) | until5(s309))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21980,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s308, s309)) | (~xuntil6(s308)) | until5(s309)),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21979, 21978])).
% 8.09/5.91 tff(21981,plain,
% 8.09/5.91 ((~xuntil6(s308)) | until5(s309)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21980, 19262, 370])).
% 8.09/5.91 tff(21982,plain,
% 8.09/5.91 (until5(s309)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21981, 21977])).
% 8.09/5.91 tff(21983,plain,
% 8.09/5.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s309) | (~node4(s309)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s309) | (~node4(s309)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21984,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s309) | (~node4(s309)))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21985,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s309) | (~node4(s309))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21984, 21983])).
% 8.09/5.91 tff(21986,plain,
% 8.09/5.91 (~node4(s309)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21985, 16, 20092])).
% 8.09/5.91 tff(21987,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21988,plain,
% 8.09/5.91 ((node4(s309) | (~until5(s309)) | xuntil6(s309)) <=> (xuntil6(s309) | node4(s309) | (~until5(s309)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21989,plain,
% 8.09/5.91 (((~![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))))),
% 8.09/5.91 inference(monotonicity,[status(thm)],[21988])).
% 8.09/5.91 tff(21990,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(transitivity,[status(thm)],[21989, 21987])).
% 8.09/5.91 tff(21991,plain,
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% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21992,plain,
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% 8.09/5.91 inference(modus_ponens,[status(thm)],[21991, 21990])).
% 8.09/5.91 tff(21993,plain,
% 8.09/5.91 (xuntil6(s309) | (~until5(s309))),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21992, 352, 21986])).
% 8.09/5.91 tff(21994,plain,
% 8.09/5.91 (xuntil6(s309)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21993, 21982])).
% 8.09/5.91 tff(21995,plain,
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% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(21996,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s309, s310)) | (~xuntil6(s309)) | until5(s310))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(21997,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s309, s310)) | (~xuntil6(s309)) | until5(s310)),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[21996, 21995])).
% 8.09/5.91 tff(21998,plain,
% 8.09/5.91 ((~xuntil6(s309)) | until5(s310)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[21997, 19250, 370])).
% 8.09/5.91 tff(21999,plain,
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% 8.09/5.91 inference(unit_resolution,[status(thm)],[21998, 21994])).
% 8.09/5.91 tff(22000,plain,
% 8.09/5.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s310) | (~node4(s310)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s310) | (~node4(s310)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22001,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s310) | (~node4(s310)))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22002,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s310) | (~node4(s310))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[22001, 22000])).
% 8.09/5.91 tff(22003,plain,
% 8.09/5.91 (~node4(s310)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22002, 16, 20091])).
% 8.09/5.91 tff(22004,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22005,plain,
% 8.09/5.91 ((node4(s310) | (~until5(s310)) | xuntil6(s310)) <=> (xuntil6(s310) | node4(s310) | (~until5(s310)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22006,plain,
% 8.09/5.91 (((~![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))))),
% 8.09/5.91 inference(monotonicity,[status(thm)],[22005])).
% 8.09/5.91 tff(22007,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(transitivity,[status(thm)],[22006, 22004])).
% 8.09/5.91 tff(22008,plain,
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% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22009,plain,
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% 8.09/5.91 inference(modus_ponens,[status(thm)],[22008, 22007])).
% 8.09/5.91 tff(22010,plain,
% 8.09/5.91 (xuntil6(s310) | (~until5(s310))),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22009, 352, 22003])).
% 8.09/5.91 tff(22011,plain,
% 8.09/5.91 (xuntil6(s310)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22010, 21999])).
% 8.09/5.91 tff(22012,plain,
% 8.09/5.91 (((~![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))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22013,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s310, s311)) | (~xuntil6(s310)) | until5(s311))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22014,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s310, s311)) | (~xuntil6(s310)) | until5(s311)),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[22013, 22012])).
% 8.09/5.91 tff(22015,plain,
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% 8.09/5.91 inference(unit_resolution,[status(thm)],[22014, 19238, 370])).
% 8.09/5.91 tff(22016,plain,
% 8.09/5.91 (until5(s311)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22015, 22011])).
% 8.09/5.91 tff(22017,plain,
% 8.09/5.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s311) | (~node4(s311)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s311) | (~node4(s311)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22018,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s311) | (~node4(s311)))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22019,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s311) | (~node4(s311))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[22018, 22017])).
% 8.09/5.91 tff(22020,plain,
% 8.09/5.91 (~node4(s311)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22019, 16, 20090])).
% 8.09/5.91 tff(22021,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22022,plain,
% 8.09/5.91 ((node4(s311) | (~until5(s311)) | xuntil6(s311)) <=> (xuntil6(s311) | node4(s311) | (~until5(s311)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22023,plain,
% 8.09/5.91 (((~![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))))),
% 8.09/5.91 inference(monotonicity,[status(thm)],[22022])).
% 8.09/5.91 tff(22024,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(transitivity,[status(thm)],[22023, 22021])).
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% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22026,plain,
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% 8.09/5.91 inference(modus_ponens,[status(thm)],[22025, 22024])).
% 8.09/5.91 tff(22027,plain,
% 8.09/5.91 (xuntil6(s311) | (~until5(s311))),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22026, 352, 22020])).
% 8.09/5.91 tff(22028,plain,
% 8.09/5.91 (xuntil6(s311)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22027, 22016])).
% 8.09/5.91 tff(22029,plain,
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% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22030,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s311, s312)) | (~xuntil6(s311)) | until5(s312))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22031,plain,
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% 8.09/5.91 inference(modus_ponens,[status(thm)],[22030, 22029])).
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% 8.09/5.91 inference(unit_resolution,[status(thm)],[22031, 19226, 370])).
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% 8.09/5.91 inference(unit_resolution,[status(thm)],[22032, 22028])).
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% 8.09/5.91 inference(rewrite,[status(thm)],[])).
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% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.91 inference(modus_ponens,[status(thm)],[22035, 22034])).
% 8.09/5.91 tff(22037,plain,
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% 8.09/5.91 inference(unit_resolution,[status(thm)],[22036, 16, 20089])).
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% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
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% 8.09/5.91 ((node4(s312) | (~until5(s312)) | xuntil6(s312)) <=> (xuntil6(s312) | node4(s312) | (~until5(s312)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
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% 8.09/5.91 inference(monotonicity,[status(thm)],[22039])).
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% 8.09/5.91 inference(transitivity,[status(thm)],[22040, 22038])).
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% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.91 inference(unit_resolution,[status(thm)],[22043, 352, 22037])).
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% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22047,plain,
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% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.91 inference(modus_ponens,[status(thm)],[22047, 22046])).
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% 8.09/5.91 inference(rewrite,[status(thm)],[])).
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% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.91 inference(modus_ponens,[status(thm)],[22052, 22051])).
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% 8.09/5.91 inference(rewrite,[status(thm)],[])).
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% 8.09/5.91 inference(rewrite,[status(thm)],[])).
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% 8.09/5.91 inference(monotonicity,[status(thm)],[22056])).
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% 8.09/5.91 inference(transitivity,[status(thm)],[22057, 22055])).
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% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22060,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s313) | node4(s313) | (~until5(s313))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[22059, 22058])).
% 8.09/5.91 tff(22061,plain,
% 8.09/5.91 (xuntil6(s313) | (~until5(s313))),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22060, 352, 22054])).
% 8.09/5.91 tff(22062,plain,
% 8.09/5.91 (xuntil6(s313)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22061, 22050])).
% 8.09/5.91 tff(22063,plain,
% 8.09/5.91 (((~![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))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22064,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s313, s314)) | (~xuntil6(s313)) | until5(s314))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22065,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s313, s314)) | (~xuntil6(s313)) | until5(s314)),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[22064, 22063])).
% 8.09/5.91 tff(22066,plain,
% 8.09/5.91 ((~xuntil6(s313)) | until5(s314)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22065, 19202, 370])).
% 8.09/5.91 tff(22067,plain,
% 8.09/5.91 (until5(s314)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22066, 22062])).
% 8.09/5.91 tff(22068,plain,
% 8.09/5.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s314) | (~node4(s314)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s314) | (~node4(s314)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22069,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s314) | (~node4(s314)))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22070,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s314) | (~node4(s314))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[22069, 22068])).
% 8.09/5.91 tff(22071,plain,
% 8.09/5.91 (~node4(s314)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22070, 16, 20087])).
% 8.09/5.91 tff(22072,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22073,plain,
% 8.09/5.91 ((node4(s314) | (~until5(s314)) | xuntil6(s314)) <=> (xuntil6(s314) | node4(s314) | (~until5(s314)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22074,plain,
% 8.09/5.91 (((~![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))))),
% 8.09/5.91 inference(monotonicity,[status(thm)],[22073])).
% 8.09/5.91 tff(22075,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(transitivity,[status(thm)],[22074, 22072])).
% 8.09/5.91 tff(22076,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s314) | (~until5(s314)) | xuntil6(s314))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22077,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s314) | node4(s314) | (~until5(s314))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[22076, 22075])).
% 8.09/5.91 tff(22078,plain,
% 8.09/5.91 (xuntil6(s314) | (~until5(s314))),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22077, 352, 22071])).
% 8.09/5.91 tff(22079,plain,
% 8.09/5.91 (xuntil6(s314)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22078, 22067])).
% 8.09/5.91 tff(22080,plain,
% 8.09/5.91 (((~![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))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22081,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s314, s315)) | (~xuntil6(s314)) | until5(s315))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22082,plain,
% 8.09/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s314, s315)) | (~xuntil6(s314)) | until5(s315)),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[22081, 22080])).
% 8.09/5.91 tff(22083,plain,
% 8.09/5.91 ((~xuntil6(s314)) | until5(s315)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22082, 19190, 370])).
% 8.09/5.91 tff(22084,plain,
% 8.09/5.91 (until5(s315)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22083, 22079])).
% 8.09/5.91 tff(22085,plain,
% 8.09/5.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s315) | (~node4(s315)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s315) | (~node4(s315)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22086,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s315) | (~node4(s315)))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.91 tff(22087,plain,
% 8.09/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s315) | (~node4(s315))),
% 8.09/5.91 inference(modus_ponens,[status(thm)],[22086, 22085])).
% 8.09/5.91 tff(22088,plain,
% 8.09/5.91 (~node4(s315)),
% 8.09/5.91 inference(unit_resolution,[status(thm)],[22087, 16, 20086])).
% 8.09/5.91 tff(22089,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22090,plain,
% 8.09/5.91 ((node4(s315) | (~until5(s315)) | xuntil6(s315)) <=> (xuntil6(s315) | node4(s315) | (~until5(s315)))),
% 8.09/5.91 inference(rewrite,[status(thm)],[])).
% 8.09/5.91 tff(22091,plain,
% 8.09/5.91 (((~![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))))),
% 8.09/5.91 inference(monotonicity,[status(thm)],[22090])).
% 8.09/5.91 tff(22092,plain,
% 8.09/5.91 (((~![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)))),
% 8.09/5.91 inference(transitivity,[status(thm)],[22091, 22089])).
% 8.09/5.91 tff(22093,plain,
% 8.09/5.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s315) | (~until5(s315)) | xuntil6(s315))),
% 8.09/5.91 inference(quant_inst,[status(thm)],[])).
% 8.09/5.92 tff(22094,plain,
% 8.09/5.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s315) | node4(s315) | (~until5(s315))),
% 8.09/5.92 inference(modus_ponens,[status(thm)],[22093, 22092])).
% 8.09/5.92 tff(22095,plain,
% 8.09/5.92 (xuntil6(s315) | (~until5(s315))),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22094, 352, 22088])).
% 8.09/5.92 tff(22096,plain,
% 8.09/5.92 (xuntil6(s315)),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22095, 22084])).
% 8.09/5.92 tff(22097,plain,
% 8.09/5.92 (((~![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))),
% 8.09/5.92 inference(rewrite,[status(thm)],[])).
% 8.09/5.92 tff(22098,plain,
% 8.09/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s315, s316)) | (~xuntil6(s315)) | until5(s316))),
% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
% 8.09/5.92 tff(22099,plain,
% 8.09/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s315, s316)) | (~xuntil6(s315)) | until5(s316)),
% 8.09/5.92 inference(modus_ponens,[status(thm)],[22098, 22097])).
% 8.09/5.92 tff(22100,plain,
% 8.09/5.92 ((~xuntil6(s315)) | until5(s316)),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22099, 19178, 370])).
% 8.09/5.92 tff(22101,plain,
% 8.09/5.92 (until5(s316)),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22100, 22096])).
% 8.09/5.92 tff(22102,plain,
% 8.09/5.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s316) | (~node4(s316)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s316) | (~node4(s316)))),
% 8.09/5.92 inference(rewrite,[status(thm)],[])).
% 8.09/5.92 tff(22103,plain,
% 8.09/5.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s316) | (~node4(s316)))),
% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
% 8.09/5.92 tff(22104,plain,
% 8.09/5.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s316) | (~node4(s316))),
% 8.09/5.92 inference(modus_ponens,[status(thm)],[22103, 22102])).
% 8.09/5.92 tff(22105,plain,
% 8.09/5.92 (~node4(s316)),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22104, 16, 20085])).
% 8.09/5.92 tff(22106,plain,
% 8.09/5.92 (((~![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)))),
% 8.09/5.92 inference(rewrite,[status(thm)],[])).
% 8.09/5.92 tff(22107,plain,
% 8.09/5.92 ((node4(s316) | (~until5(s316)) | xuntil6(s316)) <=> (xuntil6(s316) | node4(s316) | (~until5(s316)))),
% 8.09/5.92 inference(rewrite,[status(thm)],[])).
% 8.09/5.92 tff(22108,plain,
% 8.09/5.92 (((~![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))))),
% 8.09/5.92 inference(monotonicity,[status(thm)],[22107])).
% 8.09/5.92 tff(22109,plain,
% 8.09/5.92 (((~![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)))),
% 8.09/5.92 inference(transitivity,[status(thm)],[22108, 22106])).
% 8.09/5.92 tff(22110,plain,
% 8.09/5.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s316) | (~until5(s316)) | xuntil6(s316))),
% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
% 8.09/5.92 tff(22111,plain,
% 8.09/5.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s316) | node4(s316) | (~until5(s316))),
% 8.09/5.92 inference(modus_ponens,[status(thm)],[22110, 22109])).
% 8.09/5.92 tff(22112,plain,
% 8.09/5.92 (xuntil6(s316) | (~until5(s316))),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22111, 352, 22105])).
% 8.09/5.92 tff(22113,plain,
% 8.09/5.92 (xuntil6(s316)),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22112, 22101])).
% 8.09/5.92 tff(22114,plain,
% 8.09/5.92 (((~![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))),
% 8.09/5.92 inference(rewrite,[status(thm)],[])).
% 8.09/5.92 tff(22115,plain,
% 8.09/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s316, s317)) | (~xuntil6(s316)) | until5(s317))),
% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
% 8.09/5.92 tff(22116,plain,
% 8.09/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s316, s317)) | (~xuntil6(s316)) | until5(s317)),
% 8.09/5.92 inference(modus_ponens,[status(thm)],[22115, 22114])).
% 8.09/5.92 tff(22117,plain,
% 8.09/5.92 ((~xuntil6(s316)) | until5(s317)),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22116, 19166, 370])).
% 8.09/5.92 tff(22118,plain,
% 8.09/5.92 (until5(s317)),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22117, 22113])).
% 8.09/5.92 tff(22119,plain,
% 8.09/5.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s317) | (~node4(s317)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s317) | (~node4(s317)))),
% 8.09/5.92 inference(rewrite,[status(thm)],[])).
% 8.09/5.92 tff(22120,plain,
% 8.09/5.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s317) | (~node4(s317)))),
% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
% 8.09/5.92 tff(22121,plain,
% 8.09/5.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s317) | (~node4(s317))),
% 8.09/5.92 inference(modus_ponens,[status(thm)],[22120, 22119])).
% 8.09/5.92 tff(22122,plain,
% 8.09/5.92 (~node4(s317)),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22121, 16, 20084])).
% 8.09/5.92 tff(22123,plain,
% 8.09/5.92 (((~![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)))),
% 8.09/5.92 inference(rewrite,[status(thm)],[])).
% 8.09/5.92 tff(22124,plain,
% 8.09/5.92 ((node4(s317) | (~until5(s317)) | xuntil6(s317)) <=> (xuntil6(s317) | node4(s317) | (~until5(s317)))),
% 8.09/5.92 inference(rewrite,[status(thm)],[])).
% 8.09/5.92 tff(22125,plain,
% 8.09/5.92 (((~![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))))),
% 8.09/5.92 inference(monotonicity,[status(thm)],[22124])).
% 8.09/5.92 tff(22126,plain,
% 8.09/5.92 (((~![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)))),
% 8.09/5.92 inference(transitivity,[status(thm)],[22125, 22123])).
% 8.09/5.92 tff(22127,plain,
% 8.09/5.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s317) | (~until5(s317)) | xuntil6(s317))),
% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
% 8.09/5.92 tff(22128,plain,
% 8.09/5.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s317) | node4(s317) | (~until5(s317))),
% 8.09/5.92 inference(modus_ponens,[status(thm)],[22127, 22126])).
% 8.09/5.92 tff(22129,plain,
% 8.09/5.92 (xuntil6(s317) | (~until5(s317))),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22128, 352, 22122])).
% 8.09/5.92 tff(22130,plain,
% 8.09/5.92 (xuntil6(s317)),
% 8.09/5.92 inference(unit_resolution,[status(thm)],[22129, 22118])).
% 8.09/5.92 tff(22131,plain,
% 8.09/5.92 (((~![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))),
% 8.09/5.92 inference(rewrite,[status(thm)],[])).
% 8.09/5.92 tff(22132,plain,
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22132, 22131])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22133, 19154, 370])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22134, 22130])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
% 8.09/5.92 tff(22138,plain,
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22137, 22136])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22138, 16, 20083])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(monotonicity,[status(thm)],[22141])).
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% 8.09/5.92 inference(transitivity,[status(thm)],[22142, 22140])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22145, 352, 22139])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22146, 22135])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22149, 22148])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22150, 19142, 370])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22151, 22147])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22154, 22153])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22155, 16, 20082])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(monotonicity,[status(thm)],[22158])).
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% 8.09/5.92 inference(transitivity,[status(thm)],[22159, 22157])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22162, 352, 22156])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22166, 22165])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22167, 19130, 370])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22168, 22164])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22171, 22170])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(monotonicity,[status(thm)],[22175])).
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% 8.09/5.92 inference(transitivity,[status(thm)],[22176, 22174])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22205, 22204])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22206, 16, 20079])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
% 8.09/5.92 tff(22210,plain,
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% 8.09/5.92 inference(monotonicity,[status(thm)],[22209])).
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% 8.09/5.92 inference(transitivity,[status(thm)],[22210, 22208])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
% 8.09/5.92 tff(22213,plain,
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22212, 22211])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22213, 352, 22207])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22214, 22203])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22217, 22216])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22218, 19094, 370])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22219, 22215])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22222, 22221])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22223, 16, 20078])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(monotonicity,[status(thm)],[22226])).
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% 8.09/5.92 inference(transitivity,[status(thm)],[22227, 22225])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22229, 22228])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22230, 352, 22224])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22234, 22233])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22235, 19082, 370])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(modus_ponens,[status(thm)],[22239, 22238])).
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% 8.09/5.92 inference(unit_resolution,[status(thm)],[22240, 16, 20077])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(monotonicity,[status(thm)],[22243])).
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% 8.09/5.92 inference(transitivity,[status(thm)],[22244, 22242])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.92 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 ((node4(s326) | (~until5(s326)) | xuntil6(s326)) <=> (xuntil6(s326) | node4(s326) | (~until5(s326)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22278,plain,
% 8.09/5.93 (((~![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))))),
% 8.09/5.93 inference(monotonicity,[status(thm)],[22277])).
% 8.09/5.93 tff(22279,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(transitivity,[status(thm)],[22278, 22276])).
% 8.09/5.93 tff(22280,plain,
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22281,plain,
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% 8.09/5.93 inference(modus_ponens,[status(thm)],[22280, 22279])).
% 8.09/5.93 tff(22282,plain,
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22281, 352, 22275])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22282, 22271])).
% 8.09/5.93 tff(22284,plain,
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s326, s327)) | (~xuntil6(s326)) | until5(s327))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22286,plain,
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% 8.09/5.93 inference(modus_ponens,[status(thm)],[22285, 22284])).
% 8.09/5.93 tff(22287,plain,
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22286, 19046, 370])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22287, 22283])).
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22291,plain,
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% 8.09/5.93 inference(modus_ponens,[status(thm)],[22290, 22289])).
% 8.09/5.93 tff(22292,plain,
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22291, 16, 20074])).
% 8.09/5.93 tff(22293,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22294,plain,
% 8.09/5.93 ((node4(s327) | (~until5(s327)) | xuntil6(s327)) <=> (xuntil6(s327) | node4(s327) | (~until5(s327)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22295,plain,
% 8.09/5.93 (((~![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))))),
% 8.09/5.93 inference(monotonicity,[status(thm)],[22294])).
% 8.09/5.93 tff(22296,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(transitivity,[status(thm)],[22295, 22293])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22298,plain,
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% 8.09/5.93 inference(modus_ponens,[status(thm)],[22297, 22296])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22298, 352, 22292])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22299, 22288])).
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22303,plain,
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% 8.09/5.93 inference(modus_ponens,[status(thm)],[22302, 22301])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22303, 19034, 370])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22304, 22300])).
% 8.09/5.93 tff(22306,assumption,(~xuntil6(s349)), introduced(assumption)).
% 8.09/5.93 tff(22307,plain,
% 8.09/5.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s329) | (~node4(s329)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s329) | (~node4(s329)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.93 inference(modus_ponens,[status(thm)],[22308, 22307])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22309, 16, 20072])).
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.93 inference(modus_ponens,[status(thm)],[22312, 22311])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22313, 16, 20073])).
% 8.09/5.93 tff(22315,assumption,(until5(s328)), introduced(assumption)).
% 8.09/5.93 tff(22316,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 ((node4(s328) | (~until5(s328)) | xuntil6(s328)) <=> (xuntil6(s328) | node4(s328) | (~until5(s328)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22318,plain,
% 8.09/5.93 (((~![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))))),
% 8.09/5.93 inference(monotonicity,[status(thm)],[22317])).
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% 8.09/5.93 inference(transitivity,[status(thm)],[22318, 22316])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.93 inference(modus_ponens,[status(thm)],[22320, 22319])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22321, 352, 22315])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22322, 22314])).
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.93 inference(modus_ponens,[status(thm)],[22325, 22324])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22326, 19022, 370])).
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22327, 22323])).
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(monotonicity,[status(thm)],[22330])).
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% 8.09/5.93 inference(transitivity,[status(thm)],[22331, 22329])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(monotonicity,[status(thm)],[22346])).
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% 8.09/5.93 inference(transitivity,[status(thm)],[22347, 22345])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22350,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s330) | node4(s330) | (~until5(s330))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22349, 22348])).
% 8.09/5.93 tff(22351,plain,
% 8.09/5.93 (xuntil6(s330) | (~until5(s330))),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22350, 352, 22344])).
% 8.09/5.93 tff(22352,plain,
% 8.09/5.93 (xuntil6(s330)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22351, 22340])).
% 8.09/5.93 tff(22353,plain,
% 8.09/5.93 (((~![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))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22354,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s330, s331)) | (~xuntil6(s330)) | until5(s331))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22355,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s330, s331)) | (~xuntil6(s330)) | until5(s331)),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22354, 22353])).
% 8.09/5.93 tff(22356,plain,
% 8.09/5.93 ((~xuntil6(s330)) | until5(s331)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22355, 18998, 370])).
% 8.09/5.93 tff(22357,plain,
% 8.09/5.93 (until5(s331)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22356, 22352])).
% 8.09/5.93 tff(22358,plain,
% 8.09/5.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s331) | (~node4(s331)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s331) | (~node4(s331)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22359,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s331) | (~node4(s331)))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22360,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s331) | (~node4(s331))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22359, 22358])).
% 8.09/5.93 tff(22361,plain,
% 8.09/5.93 (~node4(s331)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22360, 16, 20070])).
% 8.09/5.93 tff(22362,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22363,plain,
% 8.09/5.93 ((node4(s331) | (~until5(s331)) | xuntil6(s331)) <=> (xuntil6(s331) | node4(s331) | (~until5(s331)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22364,plain,
% 8.09/5.93 (((~![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))))),
% 8.09/5.93 inference(monotonicity,[status(thm)],[22363])).
% 8.09/5.93 tff(22365,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(transitivity,[status(thm)],[22364, 22362])).
% 8.09/5.93 tff(22366,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s331) | (~until5(s331)) | xuntil6(s331))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22367,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s331) | node4(s331) | (~until5(s331))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22366, 22365])).
% 8.09/5.93 tff(22368,plain,
% 8.09/5.93 (xuntil6(s331) | (~until5(s331))),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22367, 352, 22361])).
% 8.09/5.93 tff(22369,plain,
% 8.09/5.93 (xuntil6(s331)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22368, 22357])).
% 8.09/5.93 tff(22370,plain,
% 8.09/5.93 (((~![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))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22371,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s331, s332)) | (~xuntil6(s331)) | until5(s332))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22372,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s331, s332)) | (~xuntil6(s331)) | until5(s332)),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22371, 22370])).
% 8.09/5.93 tff(22373,plain,
% 8.09/5.93 ((~xuntil6(s331)) | until5(s332)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22372, 18986, 370])).
% 8.09/5.93 tff(22374,plain,
% 8.09/5.93 (until5(s332)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22373, 22369])).
% 8.09/5.93 tff(22375,plain,
% 8.09/5.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s332) | (~node4(s332)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s332) | (~node4(s332)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22376,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s332) | (~node4(s332)))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22377,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s332) | (~node4(s332))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22376, 22375])).
% 8.09/5.93 tff(22378,plain,
% 8.09/5.93 (~node4(s332)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22377, 16, 20069])).
% 8.09/5.93 tff(22379,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22380,plain,
% 8.09/5.93 ((node4(s332) | (~until5(s332)) | xuntil6(s332)) <=> (xuntil6(s332) | node4(s332) | (~until5(s332)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22381,plain,
% 8.09/5.93 (((~![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))))),
% 8.09/5.93 inference(monotonicity,[status(thm)],[22380])).
% 8.09/5.93 tff(22382,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(transitivity,[status(thm)],[22381, 22379])).
% 8.09/5.93 tff(22383,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s332) | (~until5(s332)) | xuntil6(s332))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22384,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s332) | node4(s332) | (~until5(s332))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22383, 22382])).
% 8.09/5.93 tff(22385,plain,
% 8.09/5.93 (xuntil6(s332) | (~until5(s332))),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22384, 352, 22378])).
% 8.09/5.93 tff(22386,plain,
% 8.09/5.93 (xuntil6(s332)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22385, 22374])).
% 8.09/5.93 tff(22387,plain,
% 8.09/5.93 (((~![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))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22388,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s332, s333)) | (~xuntil6(s332)) | until5(s333))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22389,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s332, s333)) | (~xuntil6(s332)) | until5(s333)),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22388, 22387])).
% 8.09/5.93 tff(22390,plain,
% 8.09/5.93 ((~xuntil6(s332)) | until5(s333)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22389, 18974, 370])).
% 8.09/5.93 tff(22391,plain,
% 8.09/5.93 (until5(s333)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22390, 22386])).
% 8.09/5.93 tff(22392,plain,
% 8.09/5.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s333) | (~node4(s333)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s333) | (~node4(s333)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22393,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s333) | (~node4(s333)))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22394,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s333) | (~node4(s333))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22393, 22392])).
% 8.09/5.93 tff(22395,plain,
% 8.09/5.93 (~node4(s333)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22394, 16, 20068])).
% 8.09/5.93 tff(22396,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22397,plain,
% 8.09/5.93 ((node4(s333) | (~until5(s333)) | xuntil6(s333)) <=> (xuntil6(s333) | node4(s333) | (~until5(s333)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22398,plain,
% 8.09/5.93 (((~![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))))),
% 8.09/5.93 inference(monotonicity,[status(thm)],[22397])).
% 8.09/5.93 tff(22399,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(transitivity,[status(thm)],[22398, 22396])).
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% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s333) | (~until5(s333)) | xuntil6(s333))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22401,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s333) | node4(s333) | (~until5(s333))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22400, 22399])).
% 8.09/5.93 tff(22402,plain,
% 8.09/5.93 (xuntil6(s333) | (~until5(s333))),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22401, 352, 22395])).
% 8.09/5.93 tff(22403,plain,
% 8.09/5.93 (xuntil6(s333)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22402, 22391])).
% 8.09/5.93 tff(22404,plain,
% 8.09/5.93 (((~![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))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22405,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s333, s334)) | (~xuntil6(s333)) | until5(s334))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22406,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s333, s334)) | (~xuntil6(s333)) | until5(s334)),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22405, 22404])).
% 8.09/5.93 tff(22407,plain,
% 8.09/5.93 ((~xuntil6(s333)) | until5(s334)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22406, 18962, 370])).
% 8.09/5.93 tff(22408,plain,
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22407, 22403])).
% 8.09/5.93 tff(22409,plain,
% 8.09/5.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s334) | (~node4(s334)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s334) | (~node4(s334)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22411,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s334) | (~node4(s334))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22410, 22409])).
% 8.09/5.93 tff(22412,plain,
% 8.09/5.93 (~node4(s334)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22411, 16, 20067])).
% 8.09/5.93 tff(22413,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22414,plain,
% 8.09/5.93 ((node4(s334) | (~until5(s334)) | xuntil6(s334)) <=> (xuntil6(s334) | node4(s334) | (~until5(s334)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22415,plain,
% 8.09/5.93 (((~![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))))),
% 8.09/5.93 inference(monotonicity,[status(thm)],[22414])).
% 8.09/5.93 tff(22416,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(transitivity,[status(thm)],[22415, 22413])).
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% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22418,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s334) | node4(s334) | (~until5(s334))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22417, 22416])).
% 8.09/5.93 tff(22419,plain,
% 8.09/5.93 (xuntil6(s334) | (~until5(s334))),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22418, 352, 22412])).
% 8.09/5.93 tff(22420,plain,
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% 8.09/5.93 inference(unit_resolution,[status(thm)],[22419, 22408])).
% 8.09/5.93 tff(22421,plain,
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% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22422,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s334, s335)) | (~xuntil6(s334)) | until5(s335))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22423,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s334, s335)) | (~xuntil6(s334)) | until5(s335)),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22422, 22421])).
% 8.09/5.93 tff(22424,plain,
% 8.09/5.93 ((~xuntil6(s334)) | until5(s335)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22423, 18950, 370])).
% 8.09/5.93 tff(22425,plain,
% 8.09/5.93 (until5(s335)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22424, 22420])).
% 8.09/5.93 tff(22426,plain,
% 8.09/5.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s335) | (~node4(s335)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s335) | (~node4(s335)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22427,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s335) | (~node4(s335)))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22428,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s335) | (~node4(s335))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22427, 22426])).
% 8.09/5.93 tff(22429,plain,
% 8.09/5.93 (~node4(s335)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22428, 16, 20066])).
% 8.09/5.93 tff(22430,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22431,plain,
% 8.09/5.93 ((node4(s335) | (~until5(s335)) | xuntil6(s335)) <=> (xuntil6(s335) | node4(s335) | (~until5(s335)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22432,plain,
% 8.09/5.93 (((~![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))))),
% 8.09/5.93 inference(monotonicity,[status(thm)],[22431])).
% 8.09/5.93 tff(22433,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(transitivity,[status(thm)],[22432, 22430])).
% 8.09/5.93 tff(22434,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s335) | (~until5(s335)) | xuntil6(s335))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22435,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s335) | node4(s335) | (~until5(s335))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22434, 22433])).
% 8.09/5.93 tff(22436,plain,
% 8.09/5.93 (xuntil6(s335) | (~until5(s335))),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22435, 352, 22429])).
% 8.09/5.93 tff(22437,plain,
% 8.09/5.93 (xuntil6(s335)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22436, 22425])).
% 8.09/5.93 tff(22438,plain,
% 8.09/5.93 (((~![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))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22439,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s335, s336)) | (~xuntil6(s335)) | until5(s336))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22440,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s335, s336)) | (~xuntil6(s335)) | until5(s336)),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22439, 22438])).
% 8.09/5.93 tff(22441,plain,
% 8.09/5.93 ((~xuntil6(s335)) | until5(s336)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22440, 18938, 370])).
% 8.09/5.93 tff(22442,plain,
% 8.09/5.93 (until5(s336)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22441, 22437])).
% 8.09/5.93 tff(22443,plain,
% 8.09/5.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s336) | (~node4(s336)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s336) | (~node4(s336)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22444,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s336) | (~node4(s336)))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22445,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s336) | (~node4(s336))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22444, 22443])).
% 8.09/5.93 tff(22446,plain,
% 8.09/5.93 (~node4(s336)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22445, 16, 20065])).
% 8.09/5.93 tff(22447,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22448,plain,
% 8.09/5.93 ((node4(s336) | (~until5(s336)) | xuntil6(s336)) <=> (xuntil6(s336) | node4(s336) | (~until5(s336)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22449,plain,
% 8.09/5.93 (((~![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))))),
% 8.09/5.93 inference(monotonicity,[status(thm)],[22448])).
% 8.09/5.93 tff(22450,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(transitivity,[status(thm)],[22449, 22447])).
% 8.09/5.93 tff(22451,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s336) | (~until5(s336)) | xuntil6(s336))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22452,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s336) | node4(s336) | (~until5(s336))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22451, 22450])).
% 8.09/5.93 tff(22453,plain,
% 8.09/5.93 (xuntil6(s336) | (~until5(s336))),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22452, 352, 22446])).
% 8.09/5.93 tff(22454,plain,
% 8.09/5.93 (xuntil6(s336)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22453, 22442])).
% 8.09/5.93 tff(22455,plain,
% 8.09/5.93 (((~![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))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22456,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s336, s337)) | (~xuntil6(s336)) | until5(s337))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22457,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s336, s337)) | (~xuntil6(s336)) | until5(s337)),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22456, 22455])).
% 8.09/5.93 tff(22458,plain,
% 8.09/5.93 ((~xuntil6(s336)) | until5(s337)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22457, 18926, 370])).
% 8.09/5.93 tff(22459,plain,
% 8.09/5.93 (until5(s337)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22458, 22454])).
% 8.09/5.93 tff(22460,plain,
% 8.09/5.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s337) | (~node4(s337)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s337) | (~node4(s337)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22461,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s337) | (~node4(s337)))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22462,plain,
% 8.09/5.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s337) | (~node4(s337))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22461, 22460])).
% 8.09/5.93 tff(22463,plain,
% 8.09/5.93 (~node4(s337)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22462, 16, 20064])).
% 8.09/5.93 tff(22464,plain,
% 8.09/5.93 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s337) | node4(s337) | (~until5(s337)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s337) | node4(s337) | (~until5(s337)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22465,plain,
% 8.09/5.93 ((node4(s337) | (~until5(s337)) | xuntil6(s337)) <=> (xuntil6(s337) | node4(s337) | (~until5(s337)))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22466,plain,
% 8.09/5.93 (((~![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))))),
% 8.09/5.93 inference(monotonicity,[status(thm)],[22465])).
% 8.09/5.93 tff(22467,plain,
% 8.09/5.93 (((~![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)))),
% 8.09/5.93 inference(transitivity,[status(thm)],[22466, 22464])).
% 8.09/5.93 tff(22468,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s337) | (~until5(s337)) | xuntil6(s337))),
% 8.09/5.93 inference(quant_inst,[status(thm)],[])).
% 8.09/5.93 tff(22469,plain,
% 8.09/5.93 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s337) | node4(s337) | (~until5(s337))),
% 8.09/5.93 inference(modus_ponens,[status(thm)],[22468, 22467])).
% 8.09/5.93 tff(22470,plain,
% 8.09/5.93 (xuntil6(s337) | (~until5(s337))),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22469, 352, 22463])).
% 8.09/5.93 tff(22471,plain,
% 8.09/5.93 (xuntil6(s337)),
% 8.09/5.93 inference(unit_resolution,[status(thm)],[22470, 22459])).
% 8.09/5.93 tff(22472,plain,
% 8.09/5.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s337, s338)) | (~xuntil6(s337)) | until5(s338))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s337, s338)) | (~xuntil6(s337)) | until5(s338))),
% 8.09/5.93 inference(rewrite,[status(thm)],[])).
% 8.09/5.93 tff(22473,plain,
% 8.09/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s337, s338)) | (~xuntil6(s337)) | until5(s338))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22474,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s337, s338)) | (~xuntil6(s337)) | until5(s338)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22473, 22472])).
% 8.09/5.94 tff(22475,plain,
% 8.09/5.94 ((~xuntil6(s337)) | until5(s338)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22474, 18914, 370])).
% 8.09/5.94 tff(22476,plain,
% 8.09/5.94 (until5(s338)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22475, 22471])).
% 8.09/5.94 tff(22477,plain,
% 8.09/5.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s338) | (~node4(s338)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s338) | (~node4(s338)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22478,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s338) | (~node4(s338)))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22479,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s338) | (~node4(s338))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22478, 22477])).
% 8.09/5.94 tff(22480,plain,
% 8.09/5.94 (~node4(s338)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22479, 16, 20063])).
% 8.09/5.94 tff(22481,plain,
% 8.09/5.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s338) | node4(s338) | (~until5(s338)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s338) | node4(s338) | (~until5(s338)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22482,plain,
% 8.09/5.94 ((node4(s338) | (~until5(s338)) | xuntil6(s338)) <=> (xuntil6(s338) | node4(s338) | (~until5(s338)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22483,plain,
% 8.09/5.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s338) | (~until5(s338)) | xuntil6(s338))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s338) | node4(s338) | (~until5(s338))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22482])).
% 8.09/5.94 tff(22484,plain,
% 8.09/5.94 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s338) | (~until5(s338)) | xuntil6(s338))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s338) | node4(s338) | (~until5(s338)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22483, 22481])).
% 8.09/5.94 tff(22485,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s338) | (~until5(s338)) | xuntil6(s338))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22486,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s338) | node4(s338) | (~until5(s338))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22485, 22484])).
% 8.09/5.94 tff(22487,plain,
% 8.09/5.94 (xuntil6(s338) | (~until5(s338))),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22486, 352, 22480])).
% 8.09/5.94 tff(22488,plain,
% 8.09/5.94 (xuntil6(s338)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22487, 22476])).
% 8.09/5.94 tff(22489,plain,
% 8.09/5.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s338, s339)) | (~xuntil6(s338)) | until5(s339))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s338, s339)) | (~xuntil6(s338)) | until5(s339))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22490,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s338, s339)) | (~xuntil6(s338)) | until5(s339))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22491,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s338, s339)) | (~xuntil6(s338)) | until5(s339)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22490, 22489])).
% 8.09/5.94 tff(22492,plain,
% 8.09/5.94 ((~xuntil6(s338)) | until5(s339)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22491, 20054, 370])).
% 8.09/5.94 tff(22493,plain,
% 8.09/5.94 (until5(s339)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22492, 22488])).
% 8.09/5.94 tff(22494,plain,
% 8.09/5.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s339) | (~node4(s339)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s339) | (~node4(s339)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22495,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s339) | (~node4(s339)))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22496,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s339) | (~node4(s339))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22495, 22494])).
% 8.09/5.94 tff(22497,plain,
% 8.09/5.94 (~node4(s339)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22496, 16, 20051])).
% 8.09/5.94 tff(22498,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22499,plain,
% 8.09/5.94 ((node4(s339) | (~until5(s339)) | xuntil6(s339)) <=> (xuntil6(s339) | node4(s339) | (~until5(s339)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22500,plain,
% 8.09/5.94 (((~![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))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22499])).
% 8.09/5.94 tff(22501,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22500, 22498])).
% 8.09/5.94 tff(22502,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s339) | (~until5(s339)) | xuntil6(s339))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22503,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s339) | node4(s339) | (~until5(s339))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22502, 22501])).
% 8.09/5.94 tff(22504,plain,
% 8.09/5.94 (xuntil6(s339) | (~until5(s339))),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22503, 352, 22497])).
% 8.09/5.94 tff(22505,plain,
% 8.09/5.94 (xuntil6(s339)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22504, 22493])).
% 8.09/5.94 tff(22506,plain,
% 8.09/5.94 (((~![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))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22507,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s339, s340)) | (~xuntil6(s339)) | until5(s340))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22508,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s339, s340)) | (~xuntil6(s339)) | until5(s340)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22507, 22506])).
% 8.09/5.94 tff(22509,plain,
% 8.09/5.94 ((~xuntil6(s339)) | until5(s340)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22508, 20042, 370])).
% 8.09/5.94 tff(22510,plain,
% 8.09/5.94 (until5(s340)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22509, 22505])).
% 8.09/5.94 tff(22511,plain,
% 8.09/5.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s340) | (~node4(s340)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s340) | (~node4(s340)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22512,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s340) | (~node4(s340)))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22513,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s340) | (~node4(s340))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22512, 22511])).
% 8.09/5.94 tff(22514,plain,
% 8.09/5.94 (~node4(s340)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22513, 16, 20039])).
% 8.09/5.94 tff(22515,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22516,plain,
% 8.09/5.94 ((node4(s340) | (~until5(s340)) | xuntil6(s340)) <=> (xuntil6(s340) | node4(s340) | (~until5(s340)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22517,plain,
% 8.09/5.94 (((~![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))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22516])).
% 8.09/5.94 tff(22518,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22517, 22515])).
% 8.09/5.94 tff(22519,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s340) | (~until5(s340)) | xuntil6(s340))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22520,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s340) | node4(s340) | (~until5(s340))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22519, 22518])).
% 8.09/5.94 tff(22521,plain,
% 8.09/5.94 (xuntil6(s340) | (~until5(s340))),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22520, 352, 22514])).
% 8.09/5.94 tff(22522,plain,
% 8.09/5.94 (xuntil6(s340)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22521, 22510])).
% 8.09/5.94 tff(22523,plain,
% 8.09/5.94 (((~![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))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22524,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s340, s341)) | (~xuntil6(s340)) | until5(s341))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22525,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s340, s341)) | (~xuntil6(s340)) | until5(s341)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22524, 22523])).
% 8.09/5.94 tff(22526,plain,
% 8.09/5.94 ((~xuntil6(s340)) | until5(s341)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22525, 20030, 370])).
% 8.09/5.94 tff(22527,plain,
% 8.09/5.94 (until5(s341)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22526, 22522])).
% 8.09/5.94 tff(22528,plain,
% 8.09/5.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s341) | (~node4(s341)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s341) | (~node4(s341)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22529,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s341) | (~node4(s341)))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22530,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s341) | (~node4(s341))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22529, 22528])).
% 8.09/5.94 tff(22531,plain,
% 8.09/5.94 (~node4(s341)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22530, 16, 20027])).
% 8.09/5.94 tff(22532,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22533,plain,
% 8.09/5.94 ((node4(s341) | (~until5(s341)) | xuntil6(s341)) <=> (xuntil6(s341) | node4(s341) | (~until5(s341)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22534,plain,
% 8.09/5.94 (((~![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))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22533])).
% 8.09/5.94 tff(22535,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22534, 22532])).
% 8.09/5.94 tff(22536,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s341) | (~until5(s341)) | xuntil6(s341))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22537,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s341) | node4(s341) | (~until5(s341))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22536, 22535])).
% 8.09/5.94 tff(22538,plain,
% 8.09/5.94 (xuntil6(s341) | (~until5(s341))),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22537, 352, 22531])).
% 8.09/5.94 tff(22539,plain,
% 8.09/5.94 (xuntil6(s341)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22538, 22527])).
% 8.09/5.94 tff(22540,plain,
% 8.09/5.94 (((~![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))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22541,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s341, s342)) | (~xuntil6(s341)) | until5(s342))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22542,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s341, s342)) | (~xuntil6(s341)) | until5(s342)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22541, 22540])).
% 8.09/5.94 tff(22543,plain,
% 8.09/5.94 ((~xuntil6(s341)) | until5(s342)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22542, 20018, 370])).
% 8.09/5.94 tff(22544,plain,
% 8.09/5.94 (until5(s342)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22543, 22539])).
% 8.09/5.94 tff(22545,plain,
% 8.09/5.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s342) | (~node4(s342)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s342) | (~node4(s342)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22546,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s342) | (~node4(s342)))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22547,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s342) | (~node4(s342))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22546, 22545])).
% 8.09/5.94 tff(22548,plain,
% 8.09/5.94 (~node4(s342)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22547, 16, 20015])).
% 8.09/5.94 tff(22549,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22550,plain,
% 8.09/5.94 ((node4(s342) | (~until5(s342)) | xuntil6(s342)) <=> (xuntil6(s342) | node4(s342) | (~until5(s342)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22551,plain,
% 8.09/5.94 (((~![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))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22550])).
% 8.09/5.94 tff(22552,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22551, 22549])).
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% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22554,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s342) | node4(s342) | (~until5(s342))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22553, 22552])).
% 8.09/5.94 tff(22555,plain,
% 8.09/5.94 (xuntil6(s342) | (~until5(s342))),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22554, 352, 22548])).
% 8.09/5.94 tff(22556,plain,
% 8.09/5.94 (xuntil6(s342)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22555, 22544])).
% 8.09/5.94 tff(22557,plain,
% 8.09/5.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s342, s343)) | (~xuntil6(s342)) | until5(s343))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s342, s343)) | (~xuntil6(s342)) | until5(s343))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22558,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s342, s343)) | (~xuntil6(s342)) | until5(s343))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22559,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s342, s343)) | (~xuntil6(s342)) | until5(s343)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22558, 22557])).
% 8.09/5.94 tff(22560,plain,
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% 8.09/5.94 inference(unit_resolution,[status(thm)],[22559, 20006, 370])).
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% 8.09/5.94 (until5(s343)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22560, 22556])).
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% 8.09/5.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s343) | (~node4(s343)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s343) | (~node4(s343)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
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% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22564,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s343) | (~node4(s343))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22563, 22562])).
% 8.09/5.94 tff(22565,plain,
% 8.09/5.94 (~node4(s343)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22564, 16, 20003])).
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% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22567,plain,
% 8.09/5.94 ((node4(s343) | (~until5(s343)) | xuntil6(s343)) <=> (xuntil6(s343) | node4(s343) | (~until5(s343)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22568,plain,
% 8.09/5.94 (((~![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))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22567])).
% 8.09/5.94 tff(22569,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22568, 22566])).
% 8.09/5.94 tff(22570,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s343) | (~until5(s343)) | xuntil6(s343))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22571,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s343) | node4(s343) | (~until5(s343))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22570, 22569])).
% 8.09/5.94 tff(22572,plain,
% 8.09/5.94 (xuntil6(s343) | (~until5(s343))),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22571, 352, 22565])).
% 8.09/5.94 tff(22573,plain,
% 8.09/5.94 (xuntil6(s343)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22572, 22561])).
% 8.09/5.94 tff(22574,plain,
% 8.09/5.94 (((~![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))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22575,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s343, s344)) | (~xuntil6(s343)) | until5(s344))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22576,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s343, s344)) | (~xuntil6(s343)) | until5(s344)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22575, 22574])).
% 8.09/5.94 tff(22577,plain,
% 8.09/5.94 ((~xuntil6(s343)) | until5(s344)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22576, 19994, 370])).
% 8.09/5.94 tff(22578,plain,
% 8.09/5.94 (until5(s344)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22577, 22573])).
% 8.09/5.94 tff(22579,plain,
% 8.09/5.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s344) | (~node4(s344)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s344) | (~node4(s344)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22580,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s344) | (~node4(s344)))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22581,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s344) | (~node4(s344))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22580, 22579])).
% 8.09/5.94 tff(22582,plain,
% 8.09/5.94 (~node4(s344)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22581, 16, 19991])).
% 8.09/5.94 tff(22583,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22584,plain,
% 8.09/5.94 ((node4(s344) | (~until5(s344)) | xuntil6(s344)) <=> (xuntil6(s344) | node4(s344) | (~until5(s344)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22585,plain,
% 8.09/5.94 (((~![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))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22584])).
% 8.09/5.94 tff(22586,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22585, 22583])).
% 8.09/5.94 tff(22587,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s344) | (~until5(s344)) | xuntil6(s344))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22588,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s344) | node4(s344) | (~until5(s344))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22587, 22586])).
% 8.09/5.94 tff(22589,plain,
% 8.09/5.94 (xuntil6(s344) | (~until5(s344))),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22588, 352, 22582])).
% 8.09/5.94 tff(22590,plain,
% 8.09/5.94 (xuntil6(s344)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22589, 22578])).
% 8.09/5.94 tff(22591,plain,
% 8.09/5.94 (((~![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))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22592,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s344, s345)) | (~xuntil6(s344)) | until5(s345))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22593,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s344, s345)) | (~xuntil6(s344)) | until5(s345)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22592, 22591])).
% 8.09/5.94 tff(22594,plain,
% 8.09/5.94 ((~xuntil6(s344)) | until5(s345)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22593, 19982, 370])).
% 8.09/5.94 tff(22595,plain,
% 8.09/5.94 (until5(s345)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22594, 22590])).
% 8.09/5.94 tff(22596,plain,
% 8.09/5.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s345) | (~node4(s345)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s345) | (~node4(s345)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22597,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s345) | (~node4(s345)))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22598,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s345) | (~node4(s345))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22597, 22596])).
% 8.09/5.94 tff(22599,plain,
% 8.09/5.94 (~node4(s345)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22598, 16, 19979])).
% 8.09/5.94 tff(22600,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22601,plain,
% 8.09/5.94 ((node4(s345) | (~until5(s345)) | xuntil6(s345)) <=> (xuntil6(s345) | node4(s345) | (~until5(s345)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22602,plain,
% 8.09/5.94 (((~![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))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22601])).
% 8.09/5.94 tff(22603,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22602, 22600])).
% 8.09/5.94 tff(22604,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s345) | (~until5(s345)) | xuntil6(s345))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22605,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s345) | node4(s345) | (~until5(s345))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22604, 22603])).
% 8.09/5.94 tff(22606,plain,
% 8.09/5.94 (xuntil6(s345) | (~until5(s345))),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22605, 352, 22599])).
% 8.09/5.94 tff(22607,plain,
% 8.09/5.94 (xuntil6(s345)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22606, 22595])).
% 8.09/5.94 tff(22608,plain,
% 8.09/5.94 (((~![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))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22609,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s345, s346)) | (~xuntil6(s345)) | until5(s346))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22610,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s345, s346)) | (~xuntil6(s345)) | until5(s346)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22609, 22608])).
% 8.09/5.94 tff(22611,plain,
% 8.09/5.94 ((~xuntil6(s345)) | until5(s346)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22610, 19970, 370])).
% 8.09/5.94 tff(22612,plain,
% 8.09/5.94 (until5(s346)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22611, 22607])).
% 8.09/5.94 tff(22613,plain,
% 8.09/5.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s346) | (~node4(s346)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s346) | (~node4(s346)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22614,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s346) | (~node4(s346)))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22615,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s346) | (~node4(s346))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22614, 22613])).
% 8.09/5.94 tff(22616,plain,
% 8.09/5.94 (~node4(s346)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22615, 16, 19967])).
% 8.09/5.94 tff(22617,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22618,plain,
% 8.09/5.94 ((node4(s346) | (~until5(s346)) | xuntil6(s346)) <=> (xuntil6(s346) | node4(s346) | (~until5(s346)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22619,plain,
% 8.09/5.94 (((~![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))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22618])).
% 8.09/5.94 tff(22620,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22619, 22617])).
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% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22622,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s346) | node4(s346) | (~until5(s346))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22621, 22620])).
% 8.09/5.94 tff(22623,plain,
% 8.09/5.94 (xuntil6(s346) | (~until5(s346))),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22622, 352, 22616])).
% 8.09/5.94 tff(22624,plain,
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% 8.09/5.94 inference(unit_resolution,[status(thm)],[22623, 22612])).
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% 8.09/5.94 (((~![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))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22626,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s346, s347)) | (~xuntil6(s346)) | until5(s347))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22627,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s346, s347)) | (~xuntil6(s346)) | until5(s347)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22626, 22625])).
% 8.09/5.94 tff(22628,plain,
% 8.09/5.94 ((~xuntil6(s346)) | until5(s347)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22627, 19958, 370])).
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% 8.09/5.94 inference(unit_resolution,[status(thm)],[22628, 22624])).
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% 8.09/5.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s347) | (~node4(s347)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s347) | (~node4(s347)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
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% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s347) | (~node4(s347)))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22632,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s347) | (~node4(s347))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22631, 22630])).
% 8.09/5.94 tff(22633,plain,
% 8.09/5.94 (~node4(s347)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22632, 16, 19955])).
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% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22635,plain,
% 8.09/5.94 ((node4(s347) | (~until5(s347)) | xuntil6(s347)) <=> (xuntil6(s347) | node4(s347) | (~until5(s347)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22636,plain,
% 8.09/5.94 (((~![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))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22635])).
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% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22636, 22634])).
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% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22639,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s347) | node4(s347) | (~until5(s347))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22638, 22637])).
% 8.09/5.94 tff(22640,plain,
% 8.09/5.94 (xuntil6(s347) | (~until5(s347))),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22639, 352, 22633])).
% 8.09/5.94 tff(22641,plain,
% 8.09/5.94 (xuntil6(s347)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22640, 22629])).
% 8.09/5.94 tff(22642,plain,
% 8.09/5.94 (((~![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))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22643,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s347, s348)) | (~xuntil6(s347)) | until5(s348))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22644,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s347, s348)) | (~xuntil6(s347)) | until5(s348)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22643, 22642])).
% 8.09/5.94 tff(22645,plain,
% 8.09/5.94 ((~xuntil6(s347)) | until5(s348)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22644, 19946, 370])).
% 8.09/5.94 tff(22646,plain,
% 8.09/5.94 (until5(s348)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22645, 22641])).
% 8.09/5.94 tff(22647,plain,
% 8.09/5.94 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s348) | (~node4(s348)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s348) | (~node4(s348)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22648,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s348) | (~node4(s348)))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22649,plain,
% 8.09/5.94 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s348) | (~node4(s348))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22648, 22647])).
% 8.09/5.94 tff(22650,plain,
% 8.09/5.94 (~node4(s348)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22649, 16, 19943])).
% 8.09/5.94 tff(22651,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22652,plain,
% 8.09/5.94 ((node4(s348) | (~until5(s348)) | xuntil6(s348)) <=> (xuntil6(s348) | node4(s348) | (~until5(s348)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22653,plain,
% 8.09/5.94 (((~![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))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22652])).
% 8.09/5.94 tff(22654,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22653, 22651])).
% 8.09/5.94 tff(22655,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s348) | (~until5(s348)) | xuntil6(s348))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22656,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s348) | node4(s348) | (~until5(s348))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22655, 22654])).
% 8.09/5.94 tff(22657,plain,
% 8.09/5.94 (xuntil6(s348) | (~until5(s348))),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22656, 352, 22650])).
% 8.09/5.94 tff(22658,plain,
% 8.09/5.94 (xuntil6(s348)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22657, 22646])).
% 8.09/5.94 tff(22659,plain,
% 8.09/5.94 (((~![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))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22660,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s348, s349)) | (~xuntil6(s348)) | until5(s349))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22661,plain,
% 8.09/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s348, s349)) | (~xuntil6(s348)) | until5(s349)),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22660, 22659])).
% 8.09/5.94 tff(22662,plain,
% 8.09/5.94 ((~xuntil6(s348)) | until5(s349)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22661, 19931, 370])).
% 8.09/5.94 tff(22663,plain,
% 8.09/5.94 (until5(s349)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22662, 22658])).
% 8.09/5.94 tff(22664,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22665,plain,
% 8.09/5.94 ((node4(s349) | (~until5(s349)) | xuntil6(s349)) <=> (xuntil6(s349) | node4(s349) | (~until5(s349)))),
% 8.09/5.94 inference(rewrite,[status(thm)],[])).
% 8.09/5.94 tff(22666,plain,
% 8.09/5.94 (((~![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))))),
% 8.09/5.94 inference(monotonicity,[status(thm)],[22665])).
% 8.09/5.94 tff(22667,plain,
% 8.09/5.94 (((~![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)))),
% 8.09/5.94 inference(transitivity,[status(thm)],[22666, 22664])).
% 8.09/5.94 tff(22668,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s349) | (~until5(s349)) | xuntil6(s349))),
% 8.09/5.94 inference(quant_inst,[status(thm)],[])).
% 8.09/5.94 tff(22669,plain,
% 8.09/5.94 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s349) | node4(s349) | (~until5(s349))),
% 8.09/5.94 inference(modus_ponens,[status(thm)],[22668, 22667])).
% 8.09/5.94 tff(22670,plain,
% 8.09/5.94 (node4(s349)),
% 8.09/5.94 inference(unit_resolution,[status(thm)],[22669, 352, 22663, 22306])).
% 8.09/5.95 tff(22671,plain,
% 8.09/5.95 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s349) | (~node4(s349)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s349) | (~node4(s349)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22672,plain,
% 8.09/5.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s349) | (~node4(s349)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22673,plain,
% 8.09/5.95 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s349) | (~node4(s349))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22672, 22671])).
% 8.09/5.95 tff(22674,plain,
% 8.09/5.95 ($false),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22673, 16, 19928, 22670])).
% 8.09/5.95 tff(22675,plain,(always3(s349) | xuntil6(s349) | (~until5(s328))), inference(lemma,lemma(discharge,[]))).
% 8.09/5.95 tff(22676,plain,
% 8.09/5.95 (xuntil6(s349)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22675, 22305, 19928])).
% 8.09/5.95 tff(22677,assumption,(node4(s349)), introduced(assumption)).
% 8.09/5.95 tff(22678,plain,
% 8.09/5.95 ($false),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22673, 16, 19928, 22677])).
% 8.09/5.95 tff(22679,plain,((~node4(s349)) | always3(s349)), inference(lemma,lemma(discharge,[]))).
% 8.09/5.95 tff(22680,plain,
% 8.09/5.95 (~node4(s349)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22679, 19928])).
% 8.09/5.95 tff(22681,plain,
% 8.09/5.95 (^[X: $i] : refl(((~last(X)) | (~xuntil2p8(X))) <=> ((~last(X)) | (~xuntil2p8(X))))),
% 8.09/5.95 inference(bind,[status(th)],[])).
% 8.09/5.95 tff(22682,plain,
% 8.09/5.95 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(quant_intro,[status(thm)],[22681])).
% 8.09/5.95 tff(22683,plain,
% 8.09/5.95 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22684,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty12')).
% 8.09/5.95 tff(22685,plain,
% 8.09/5.95 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22684, 22683])).
% 8.09/5.95 tff(22686,plain,(
% 8.09/5.95 ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(skolemize,[status(sab)],[22685])).
% 8.09/5.95 tff(22687,plain,
% 8.09/5.95 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22686, 22682])).
% 8.09/5.95 tff(22688,plain,
% 8.09/5.95 (last(s349) <=> last(s349)),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22689,axiom,(last(s349)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound350')).
% 8.09/5.95 tff(22690,plain,
% 8.09/5.95 (last(s349)),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22689, 22688])).
% 8.09/5.95 tff(22691,plain,
% 8.09/5.95 (((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s349)) | (~xuntil2p8(s349)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s349)) | (~xuntil2p8(s349)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22692,plain,
% 8.09/5.95 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s349)) | (~xuntil2p8(s349)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22693,plain,
% 8.09/5.95 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s349)) | (~xuntil2p8(s349))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22692, 22691])).
% 8.09/5.95 tff(22694,plain,
% 8.09/5.95 (~xuntil2p8(s349)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22693, 22690, 22687])).
% 8.09/5.95 tff(22695,plain,
% 8.09/5.95 (^[X: $i] : refl((node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 8.09/5.95 inference(bind,[status(th)],[])).
% 8.09/5.95 tff(22696,plain,
% 8.09/5.95 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 8.09/5.95 inference(quant_intro,[status(thm)],[22695])).
% 8.09/5.95 tff(22697,plain,
% 8.09/5.95 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22698,plain,
% 8.09/5.95 (^[X: $i] : rewrite(((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 8.09/5.95 inference(bind,[status(th)],[])).
% 8.09/5.95 tff(22699,plain,
% 8.09/5.95 (![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 8.09/5.95 inference(quant_intro,[status(thm)],[22698])).
% 8.09/5.95 tff(22700,axiom,(![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty10')).
% 8.09/5.95 tff(22701,plain,
% 8.09/5.95 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22700, 22699])).
% 8.09/5.95 tff(22702,plain,
% 8.09/5.95 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22701, 22697])).
% 8.09/5.95 tff(22703,plain,(
% 8.09/5.95 ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 8.09/5.95 inference(skolemize,[status(sab)],[22702])).
% 8.09/5.95 tff(22704,plain,
% 8.09/5.95 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22703, 22696])).
% 8.09/5.95 tff(22705,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22706,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s349) | xuntil2p8(s349) | (~until2p7(s349)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22707,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s349) | xuntil2p8(s349) | (~until2p7(s349))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22706, 22705])).
% 8.09/5.95 tff(22708,plain,
% 8.09/5.95 (node4(s349) | (~until2p7(s349))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22707, 22704, 22694])).
% 8.09/5.95 tff(22709,plain,
% 8.09/5.95 (~until2p7(s349)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22708, 22680])).
% 8.09/5.95 tff(22710,plain,
% 8.09/5.95 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 8.09/5.95 inference(bind,[status(th)],[])).
% 8.09/5.95 tff(22711,plain,
% 8.09/5.95 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(quant_intro,[status(thm)],[22710])).
% 8.09/5.95 tff(22712,plain,
% 8.09/5.95 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22713,plain,
% 8.09/5.95 (^[Y: $i, X: $i] : rewrite(((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 8.09/5.95 inference(bind,[status(th)],[])).
% 8.09/5.95 tff(22714,plain,
% 8.09/5.95 (![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(quant_intro,[status(thm)],[22713])).
% 8.09/5.95 tff(22715,axiom,(![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty11')).
% 8.09/5.95 tff(22716,plain,
% 8.09/5.95 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22715, 22714])).
% 8.09/5.95 tff(22717,plain,
% 8.09/5.95 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22716, 22712])).
% 8.09/5.95 tff(22718,plain,(
% 8.09/5.95 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(skolemize,[status(sab)],[22717])).
% 8.09/5.95 tff(22719,plain,
% 8.09/5.95 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22718, 22711])).
% 8.09/5.95 tff(22720,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22721,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s348, s349)) | until2p7(s349) | (~xuntil2p8(s348)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22722,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s348, s349)) | until2p7(s349) | (~xuntil2p8(s348))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22721, 22720])).
% 8.09/5.95 tff(22723,plain,
% 8.09/5.95 (until2p7(s349) | (~xuntil2p8(s348))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22722, 19931, 22719])).
% 8.09/5.95 tff(22724,plain,
% 8.09/5.95 (~xuntil2p8(s348)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22723, 22709])).
% 8.09/5.95 tff(22725,assumption,(node4(s348)), introduced(assumption)).
% 8.09/5.95 tff(22726,assumption,(~always3(s348)), introduced(assumption)).
% 8.09/5.95 tff(22727,plain,
% 8.09/5.95 ($false),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22649, 16, 22726, 22725])).
% 8.09/5.95 tff(22728,plain,((~node4(s348)) | always3(s348)), inference(lemma,lemma(discharge,[]))).
% 8.09/5.95 tff(22729,plain,
% 8.09/5.95 (~node4(s348)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22728, 19943])).
% 8.09/5.95 tff(22730,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22731,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s348) | xuntil2p8(s348) | (~until2p7(s348)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22732,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s348) | xuntil2p8(s348) | (~until2p7(s348))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22731, 22730])).
% 8.09/5.95 tff(22733,plain,
% 8.09/5.95 (xuntil2p8(s348) | (~until2p7(s348))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22732, 22704, 22729])).
% 8.09/5.95 tff(22734,plain,
% 8.09/5.95 (~until2p7(s348)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22733, 22724])).
% 8.09/5.95 tff(22735,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22736,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s347, s348)) | until2p7(s348) | (~xuntil2p8(s347)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22737,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s347, s348)) | until2p7(s348) | (~xuntil2p8(s347))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22736, 22735])).
% 8.09/5.95 tff(22738,plain,
% 8.09/5.95 (until2p7(s348) | (~xuntil2p8(s347))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22737, 19946, 22719])).
% 8.09/5.95 tff(22739,plain,
% 8.09/5.95 (~xuntil2p8(s347)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22738, 22734])).
% 8.09/5.95 tff(22740,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22741,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s347) | xuntil2p8(s347) | (~until2p7(s347)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22742,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s347) | xuntil2p8(s347) | (~until2p7(s347))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22741, 22740])).
% 8.09/5.95 tff(22743,plain,
% 8.09/5.95 (xuntil2p8(s347) | (~until2p7(s347))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22742, 22704, 22633])).
% 8.09/5.95 tff(22744,plain,
% 8.09/5.95 (~until2p7(s347)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22743, 22739])).
% 8.09/5.95 tff(22745,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22746,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s346, s347)) | until2p7(s347) | (~xuntil2p8(s346)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22747,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s346, s347)) | until2p7(s347) | (~xuntil2p8(s346))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22746, 22745])).
% 8.09/5.95 tff(22748,plain,
% 8.09/5.95 (until2p7(s347) | (~xuntil2p8(s346))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22747, 19958, 22719])).
% 8.09/5.95 tff(22749,plain,
% 8.09/5.95 (~xuntil2p8(s346)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22748, 22744])).
% 8.09/5.95 tff(22750,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22751,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s346) | xuntil2p8(s346) | (~until2p7(s346)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22752,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s346) | xuntil2p8(s346) | (~until2p7(s346))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22751, 22750])).
% 8.09/5.95 tff(22753,plain,
% 8.09/5.95 (xuntil2p8(s346) | (~until2p7(s346))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22752, 22704, 22616])).
% 8.09/5.95 tff(22754,plain,
% 8.09/5.95 (~until2p7(s346)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22753, 22749])).
% 8.09/5.95 tff(22755,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22756,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s345, s346)) | until2p7(s346) | (~xuntil2p8(s345)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22757,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s345, s346)) | until2p7(s346) | (~xuntil2p8(s345))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22756, 22755])).
% 8.09/5.95 tff(22758,plain,
% 8.09/5.95 (until2p7(s346) | (~xuntil2p8(s345))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22757, 19970, 22719])).
% 8.09/5.95 tff(22759,plain,
% 8.09/5.95 (~xuntil2p8(s345)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22758, 22754])).
% 8.09/5.95 tff(22760,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22761,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s345) | xuntil2p8(s345) | (~until2p7(s345)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22762,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s345) | xuntil2p8(s345) | (~until2p7(s345))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22761, 22760])).
% 8.09/5.95 tff(22763,plain,
% 8.09/5.95 (xuntil2p8(s345) | (~until2p7(s345))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22762, 22704, 22599])).
% 8.09/5.95 tff(22764,plain,
% 8.09/5.95 (~until2p7(s345)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22763, 22759])).
% 8.09/5.95 tff(22765,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22766,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s344, s345)) | until2p7(s345) | (~xuntil2p8(s344)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22767,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s344, s345)) | until2p7(s345) | (~xuntil2p8(s344))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22766, 22765])).
% 8.09/5.95 tff(22768,plain,
% 8.09/5.95 (until2p7(s345) | (~xuntil2p8(s344))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22767, 19982, 22719])).
% 8.09/5.95 tff(22769,plain,
% 8.09/5.95 (~xuntil2p8(s344)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22768, 22764])).
% 8.09/5.95 tff(22770,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22771,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s344) | xuntil2p8(s344) | (~until2p7(s344)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22772,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s344) | xuntil2p8(s344) | (~until2p7(s344))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22771, 22770])).
% 8.09/5.95 tff(22773,plain,
% 8.09/5.95 (xuntil2p8(s344) | (~until2p7(s344))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22772, 22704, 22582])).
% 8.09/5.95 tff(22774,plain,
% 8.09/5.95 (~until2p7(s344)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22773, 22769])).
% 8.09/5.95 tff(22775,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22776,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s343, s344)) | until2p7(s344) | (~xuntil2p8(s343)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22777,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s343, s344)) | until2p7(s344) | (~xuntil2p8(s343))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22776, 22775])).
% 8.09/5.95 tff(22778,plain,
% 8.09/5.95 (until2p7(s344) | (~xuntil2p8(s343))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22777, 19994, 22719])).
% 8.09/5.95 tff(22779,plain,
% 8.09/5.95 (~xuntil2p8(s343)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22778, 22774])).
% 8.09/5.95 tff(22780,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22781,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s343) | xuntil2p8(s343) | (~until2p7(s343)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22782,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s343) | xuntil2p8(s343) | (~until2p7(s343))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22781, 22780])).
% 8.09/5.95 tff(22783,plain,
% 8.09/5.95 (xuntil2p8(s343) | (~until2p7(s343))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22782, 22704, 22565])).
% 8.09/5.95 tff(22784,plain,
% 8.09/5.95 (~until2p7(s343)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22783, 22779])).
% 8.09/5.95 tff(22785,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22786,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s342, s343)) | until2p7(s343) | (~xuntil2p8(s342)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22787,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s342, s343)) | until2p7(s343) | (~xuntil2p8(s342))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22786, 22785])).
% 8.09/5.95 tff(22788,plain,
% 8.09/5.95 (until2p7(s343) | (~xuntil2p8(s342))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22787, 20006, 22719])).
% 8.09/5.95 tff(22789,plain,
% 8.09/5.95 (~xuntil2p8(s342)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22788, 22784])).
% 8.09/5.95 tff(22790,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22791,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s342) | xuntil2p8(s342) | (~until2p7(s342)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22792,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s342) | xuntil2p8(s342) | (~until2p7(s342))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22791, 22790])).
% 8.09/5.95 tff(22793,plain,
% 8.09/5.95 (xuntil2p8(s342) | (~until2p7(s342))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22792, 22704, 22548])).
% 8.09/5.95 tff(22794,plain,
% 8.09/5.95 (~until2p7(s342)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22793, 22789])).
% 8.09/5.95 tff(22795,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22796,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s341, s342)) | until2p7(s342) | (~xuntil2p8(s341)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22797,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s341, s342)) | until2p7(s342) | (~xuntil2p8(s341))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22796, 22795])).
% 8.09/5.95 tff(22798,plain,
% 8.09/5.95 (until2p7(s342) | (~xuntil2p8(s341))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22797, 20018, 22719])).
% 8.09/5.95 tff(22799,plain,
% 8.09/5.95 (~xuntil2p8(s341)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22798, 22794])).
% 8.09/5.95 tff(22800,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22801,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s341) | xuntil2p8(s341) | (~until2p7(s341)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22802,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s341) | xuntil2p8(s341) | (~until2p7(s341))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22801, 22800])).
% 8.09/5.95 tff(22803,plain,
% 8.09/5.95 (xuntil2p8(s341) | (~until2p7(s341))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22802, 22704, 22531])).
% 8.09/5.95 tff(22804,plain,
% 8.09/5.95 (~until2p7(s341)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22803, 22799])).
% 8.09/5.95 tff(22805,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22806,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s340, s341)) | until2p7(s341) | (~xuntil2p8(s340)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22807,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s340, s341)) | until2p7(s341) | (~xuntil2p8(s340))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22806, 22805])).
% 8.09/5.95 tff(22808,plain,
% 8.09/5.95 (until2p7(s341) | (~xuntil2p8(s340))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22807, 20030, 22719])).
% 8.09/5.95 tff(22809,plain,
% 8.09/5.95 (~xuntil2p8(s340)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22808, 22804])).
% 8.09/5.95 tff(22810,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22811,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s340) | xuntil2p8(s340) | (~until2p7(s340)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22812,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s340) | xuntil2p8(s340) | (~until2p7(s340))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22811, 22810])).
% 8.09/5.95 tff(22813,plain,
% 8.09/5.95 (xuntil2p8(s340) | (~until2p7(s340))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22812, 22704, 22514])).
% 8.09/5.95 tff(22814,plain,
% 8.09/5.95 (~until2p7(s340)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22813, 22809])).
% 8.09/5.95 tff(22815,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22816,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s339, s340)) | until2p7(s340) | (~xuntil2p8(s339)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22817,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s339, s340)) | until2p7(s340) | (~xuntil2p8(s339))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22816, 22815])).
% 8.09/5.95 tff(22818,plain,
% 8.09/5.95 (until2p7(s340) | (~xuntil2p8(s339))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22817, 20042, 22719])).
% 8.09/5.95 tff(22819,plain,
% 8.09/5.95 (~xuntil2p8(s339)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22818, 22814])).
% 8.09/5.95 tff(22820,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22821,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s339) | xuntil2p8(s339) | (~until2p7(s339)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22822,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s339) | xuntil2p8(s339) | (~until2p7(s339))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22821, 22820])).
% 8.09/5.95 tff(22823,plain,
% 8.09/5.95 (xuntil2p8(s339) | (~until2p7(s339))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22822, 22704, 22497])).
% 8.09/5.95 tff(22824,plain,
% 8.09/5.95 (~until2p7(s339)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22823, 22819])).
% 8.09/5.95 tff(22825,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22826,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s338, s339)) | until2p7(s339) | (~xuntil2p8(s338)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22827,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s338, s339)) | until2p7(s339) | (~xuntil2p8(s338))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22826, 22825])).
% 8.09/5.95 tff(22828,plain,
% 8.09/5.95 (until2p7(s339) | (~xuntil2p8(s338))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22827, 20054, 22719])).
% 8.09/5.95 tff(22829,plain,
% 8.09/5.95 (~xuntil2p8(s338)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22828, 22824])).
% 8.09/5.95 tff(22830,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22831,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s338) | xuntil2p8(s338) | (~until2p7(s338)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22832,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s338) | xuntil2p8(s338) | (~until2p7(s338))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22831, 22830])).
% 8.09/5.95 tff(22833,plain,
% 8.09/5.95 (xuntil2p8(s338) | (~until2p7(s338))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22832, 22704, 22480])).
% 8.09/5.95 tff(22834,plain,
% 8.09/5.95 (~until2p7(s338)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22833, 22829])).
% 8.09/5.95 tff(22835,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22836,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s337, s338)) | until2p7(s338) | (~xuntil2p8(s337)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22837,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s337, s338)) | until2p7(s338) | (~xuntil2p8(s337))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22836, 22835])).
% 8.09/5.95 tff(22838,plain,
% 8.09/5.95 (until2p7(s338) | (~xuntil2p8(s337))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22837, 18914, 22719])).
% 8.09/5.95 tff(22839,plain,
% 8.09/5.95 (~xuntil2p8(s337)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22838, 22834])).
% 8.09/5.95 tff(22840,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22841,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s337) | xuntil2p8(s337) | (~until2p7(s337)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22842,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s337) | xuntil2p8(s337) | (~until2p7(s337))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22841, 22840])).
% 8.09/5.95 tff(22843,plain,
% 8.09/5.95 (xuntil2p8(s337) | (~until2p7(s337))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22842, 22704, 22463])).
% 8.09/5.95 tff(22844,plain,
% 8.09/5.95 (~until2p7(s337)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22843, 22839])).
% 8.09/5.95 tff(22845,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22846,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s336, s337)) | until2p7(s337) | (~xuntil2p8(s336)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22847,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s336, s337)) | until2p7(s337) | (~xuntil2p8(s336))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22846, 22845])).
% 8.09/5.95 tff(22848,plain,
% 8.09/5.95 (until2p7(s337) | (~xuntil2p8(s336))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22847, 18926, 22719])).
% 8.09/5.95 tff(22849,plain,
% 8.09/5.95 (~xuntil2p8(s336)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22848, 22844])).
% 8.09/5.95 tff(22850,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22851,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s336) | xuntil2p8(s336) | (~until2p7(s336)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22852,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s336) | xuntil2p8(s336) | (~until2p7(s336))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22851, 22850])).
% 8.09/5.95 tff(22853,plain,
% 8.09/5.95 (xuntil2p8(s336) | (~until2p7(s336))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22852, 22704, 22446])).
% 8.09/5.95 tff(22854,plain,
% 8.09/5.95 (~until2p7(s336)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22853, 22849])).
% 8.09/5.95 tff(22855,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22856,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s335, s336)) | until2p7(s336) | (~xuntil2p8(s335)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22857,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s335, s336)) | until2p7(s336) | (~xuntil2p8(s335))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22856, 22855])).
% 8.09/5.95 tff(22858,plain,
% 8.09/5.95 (until2p7(s336) | (~xuntil2p8(s335))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22857, 18938, 22719])).
% 8.09/5.95 tff(22859,plain,
% 8.09/5.95 (~xuntil2p8(s335)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22858, 22854])).
% 8.09/5.95 tff(22860,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22861,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s335) | xuntil2p8(s335) | (~until2p7(s335)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22862,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s335) | xuntil2p8(s335) | (~until2p7(s335))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22861, 22860])).
% 8.09/5.95 tff(22863,plain,
% 8.09/5.95 (xuntil2p8(s335) | (~until2p7(s335))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22862, 22704, 22429])).
% 8.09/5.95 tff(22864,plain,
% 8.09/5.95 (~until2p7(s335)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22863, 22859])).
% 8.09/5.95 tff(22865,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22866,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s334, s335)) | until2p7(s335) | (~xuntil2p8(s334)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22867,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s334, s335)) | until2p7(s335) | (~xuntil2p8(s334))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22866, 22865])).
% 8.09/5.95 tff(22868,plain,
% 8.09/5.95 (until2p7(s335) | (~xuntil2p8(s334))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22867, 18950, 22719])).
% 8.09/5.95 tff(22869,plain,
% 8.09/5.95 (~xuntil2p8(s334)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22868, 22864])).
% 8.09/5.95 tff(22870,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22871,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s334) | xuntil2p8(s334) | (~until2p7(s334)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22872,plain,
% 8.09/5.95 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s334) | xuntil2p8(s334) | (~until2p7(s334))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22871, 22870])).
% 8.09/5.95 tff(22873,plain,
% 8.09/5.95 (xuntil2p8(s334) | (~until2p7(s334))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22872, 22704, 22412])).
% 8.09/5.95 tff(22874,plain,
% 8.09/5.95 (~until2p7(s334)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22873, 22869])).
% 8.09/5.95 tff(22875,plain,
% 8.09/5.95 (((~![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)))),
% 8.09/5.95 inference(rewrite,[status(thm)],[])).
% 8.09/5.95 tff(22876,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s333, s334)) | until2p7(s334) | (~xuntil2p8(s333)))),
% 8.09/5.95 inference(quant_inst,[status(thm)],[])).
% 8.09/5.95 tff(22877,plain,
% 8.09/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s333, s334)) | until2p7(s334) | (~xuntil2p8(s333))),
% 8.09/5.95 inference(modus_ponens,[status(thm)],[22876, 22875])).
% 8.09/5.95 tff(22878,plain,
% 8.09/5.95 (until2p7(s334) | (~xuntil2p8(s333))),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22877, 18962, 22719])).
% 8.09/5.95 tff(22879,plain,
% 8.09/5.95 (~xuntil2p8(s333)),
% 8.09/5.95 inference(unit_resolution,[status(thm)],[22878, 22874])).
% 8.09/5.96 tff(22880,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22881,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s333) | xuntil2p8(s333) | (~until2p7(s333)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22882,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s333) | xuntil2p8(s333) | (~until2p7(s333))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22881, 22880])).
% 8.09/5.96 tff(22883,plain,
% 8.09/5.96 (xuntil2p8(s333) | (~until2p7(s333))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22882, 22704, 22395])).
% 8.09/5.96 tff(22884,plain,
% 8.09/5.96 (~until2p7(s333)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22883, 22879])).
% 8.09/5.96 tff(22885,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22886,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s332, s333)) | until2p7(s333) | (~xuntil2p8(s332)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22887,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s332, s333)) | until2p7(s333) | (~xuntil2p8(s332))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22886, 22885])).
% 8.09/5.96 tff(22888,plain,
% 8.09/5.96 (until2p7(s333) | (~xuntil2p8(s332))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22887, 18974, 22719])).
% 8.09/5.96 tff(22889,plain,
% 8.09/5.96 (~xuntil2p8(s332)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22888, 22884])).
% 8.09/5.96 tff(22890,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22891,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s332) | xuntil2p8(s332) | (~until2p7(s332)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22892,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s332) | xuntil2p8(s332) | (~until2p7(s332))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22891, 22890])).
% 8.09/5.96 tff(22893,plain,
% 8.09/5.96 (xuntil2p8(s332) | (~until2p7(s332))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22892, 22704, 22378])).
% 8.09/5.96 tff(22894,plain,
% 8.09/5.96 (~until2p7(s332)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22893, 22889])).
% 8.09/5.96 tff(22895,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22896,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s331, s332)) | until2p7(s332) | (~xuntil2p8(s331)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22897,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s331, s332)) | until2p7(s332) | (~xuntil2p8(s331))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22896, 22895])).
% 8.09/5.96 tff(22898,plain,
% 8.09/5.96 (until2p7(s332) | (~xuntil2p8(s331))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22897, 18986, 22719])).
% 8.09/5.96 tff(22899,plain,
% 8.09/5.96 (~xuntil2p8(s331)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22898, 22894])).
% 8.09/5.96 tff(22900,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22901,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s331) | xuntil2p8(s331) | (~until2p7(s331)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22902,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s331) | xuntil2p8(s331) | (~until2p7(s331))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22901, 22900])).
% 8.09/5.96 tff(22903,plain,
% 8.09/5.96 (xuntil2p8(s331) | (~until2p7(s331))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22902, 22704, 22361])).
% 8.09/5.96 tff(22904,plain,
% 8.09/5.96 (~until2p7(s331)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22903, 22899])).
% 8.09/5.96 tff(22905,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22906,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s330, s331)) | until2p7(s331) | (~xuntil2p8(s330)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22907,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s330, s331)) | until2p7(s331) | (~xuntil2p8(s330))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22906, 22905])).
% 8.09/5.96 tff(22908,plain,
% 8.09/5.96 (until2p7(s331) | (~xuntil2p8(s330))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22907, 18998, 22719])).
% 8.09/5.96 tff(22909,plain,
% 8.09/5.96 (~xuntil2p8(s330)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22908, 22904])).
% 8.09/5.96 tff(22910,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22911,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s330) | xuntil2p8(s330) | (~until2p7(s330)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22912,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s330) | xuntil2p8(s330) | (~until2p7(s330))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22911, 22910])).
% 8.09/5.96 tff(22913,plain,
% 8.09/5.96 (xuntil2p8(s330) | (~until2p7(s330))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22912, 22704, 22344])).
% 8.09/5.96 tff(22914,plain,
% 8.09/5.96 (~until2p7(s330)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22913, 22909])).
% 8.09/5.96 tff(22915,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22916,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s329, s330)) | until2p7(s330) | (~xuntil2p8(s329)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22917,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s329, s330)) | until2p7(s330) | (~xuntil2p8(s329))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22916, 22915])).
% 8.09/5.96 tff(22918,plain,
% 8.09/5.96 (until2p7(s330) | (~xuntil2p8(s329))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22917, 19010, 22719])).
% 8.09/5.96 tff(22919,plain,
% 8.09/5.96 (~xuntil2p8(s329)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22918, 22914])).
% 8.09/5.96 tff(22920,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22921,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s329) | xuntil2p8(s329) | (~until2p7(s329)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22922,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s329) | xuntil2p8(s329) | (~until2p7(s329))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22921, 22920])).
% 8.09/5.96 tff(22923,plain,
% 8.09/5.96 (xuntil2p8(s329) | (~until2p7(s329))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22922, 22704, 22310])).
% 8.09/5.96 tff(22924,plain,
% 8.09/5.96 (~until2p7(s329)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22923, 22919])).
% 8.09/5.96 tff(22925,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22926,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s328, s329)) | until2p7(s329) | (~xuntil2p8(s328)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22927,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s328, s329)) | until2p7(s329) | (~xuntil2p8(s328))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22926, 22925])).
% 8.09/5.96 tff(22928,plain,
% 8.09/5.96 (until2p7(s329) | (~xuntil2p8(s328))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22927, 19022, 22719])).
% 8.09/5.96 tff(22929,plain,
% 8.09/5.96 (~xuntil2p8(s328)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22928, 22924])).
% 8.09/5.96 tff(22930,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22931,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s328) | xuntil2p8(s328) | (~until2p7(s328)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22932,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s328) | xuntil2p8(s328) | (~until2p7(s328))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22931, 22930])).
% 8.09/5.96 tff(22933,plain,
% 8.09/5.96 (xuntil2p8(s328) | (~until2p7(s328))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22932, 22704, 22314])).
% 8.09/5.96 tff(22934,plain,
% 8.09/5.96 (~until2p7(s328)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22933, 22929])).
% 8.09/5.96 tff(22935,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22936,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s327, s328)) | until2p7(s328) | (~xuntil2p8(s327)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22937,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s327, s328)) | until2p7(s328) | (~xuntil2p8(s327))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22936, 22935])).
% 8.09/5.96 tff(22938,plain,
% 8.09/5.96 (until2p7(s328) | (~xuntil2p8(s327))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22937, 19034, 22719])).
% 8.09/5.96 tff(22939,plain,
% 8.09/5.96 (~xuntil2p8(s327)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22938, 22934])).
% 8.09/5.96 tff(22940,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22941,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s327) | xuntil2p8(s327) | (~until2p7(s327)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22942,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s327) | xuntil2p8(s327) | (~until2p7(s327))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22941, 22940])).
% 8.09/5.96 tff(22943,plain,
% 8.09/5.96 (xuntil2p8(s327) | (~until2p7(s327))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22942, 22704, 22292])).
% 8.09/5.96 tff(22944,plain,
% 8.09/5.96 (~until2p7(s327)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22943, 22939])).
% 8.09/5.96 tff(22945,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22946,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s326, s327)) | until2p7(s327) | (~xuntil2p8(s326)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22947,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s326, s327)) | until2p7(s327) | (~xuntil2p8(s326))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22946, 22945])).
% 8.09/5.96 tff(22948,plain,
% 8.09/5.96 (until2p7(s327) | (~xuntil2p8(s326))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22947, 19046, 22719])).
% 8.09/5.96 tff(22949,plain,
% 8.09/5.96 (~xuntil2p8(s326)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22948, 22944])).
% 8.09/5.96 tff(22950,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22951,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s326) | xuntil2p8(s326) | (~until2p7(s326)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22952,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s326) | xuntil2p8(s326) | (~until2p7(s326))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22951, 22950])).
% 8.09/5.96 tff(22953,plain,
% 8.09/5.96 (xuntil2p8(s326) | (~until2p7(s326))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22952, 22704, 22275])).
% 8.09/5.96 tff(22954,plain,
% 8.09/5.96 (~until2p7(s326)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22953, 22949])).
% 8.09/5.96 tff(22955,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22956,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s325, s326)) | until2p7(s326) | (~xuntil2p8(s325)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22957,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s325, s326)) | until2p7(s326) | (~xuntil2p8(s325))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22956, 22955])).
% 8.09/5.96 tff(22958,plain,
% 8.09/5.96 (until2p7(s326) | (~xuntil2p8(s325))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22957, 19058, 22719])).
% 8.09/5.96 tff(22959,plain,
% 8.09/5.96 (~xuntil2p8(s325)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22958, 22954])).
% 8.09/5.96 tff(22960,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22961,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s325) | xuntil2p8(s325) | (~until2p7(s325)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22962,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s325) | xuntil2p8(s325) | (~until2p7(s325))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22961, 22960])).
% 8.09/5.96 tff(22963,plain,
% 8.09/5.96 (xuntil2p8(s325) | (~until2p7(s325))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22962, 22704, 22258])).
% 8.09/5.96 tff(22964,plain,
% 8.09/5.96 (~until2p7(s325)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22963, 22959])).
% 8.09/5.96 tff(22965,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22966,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s324, s325)) | until2p7(s325) | (~xuntil2p8(s324)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22967,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s324, s325)) | until2p7(s325) | (~xuntil2p8(s324))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22966, 22965])).
% 8.09/5.96 tff(22968,plain,
% 8.09/5.96 (until2p7(s325) | (~xuntil2p8(s324))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22967, 19070, 22719])).
% 8.09/5.96 tff(22969,plain,
% 8.09/5.96 (~xuntil2p8(s324)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22968, 22964])).
% 8.09/5.96 tff(22970,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22971,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s324) | xuntil2p8(s324) | (~until2p7(s324)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22972,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s324) | xuntil2p8(s324) | (~until2p7(s324))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22971, 22970])).
% 8.09/5.96 tff(22973,plain,
% 8.09/5.96 (xuntil2p8(s324) | (~until2p7(s324))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22972, 22704, 22241])).
% 8.09/5.96 tff(22974,plain,
% 8.09/5.96 (~until2p7(s324)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22973, 22969])).
% 8.09/5.96 tff(22975,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22976,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s323, s324)) | until2p7(s324) | (~xuntil2p8(s323)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22977,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s323, s324)) | until2p7(s324) | (~xuntil2p8(s323))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22976, 22975])).
% 8.09/5.96 tff(22978,plain,
% 8.09/5.96 (until2p7(s324) | (~xuntil2p8(s323))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22977, 19082, 22719])).
% 8.09/5.96 tff(22979,plain,
% 8.09/5.96 (~xuntil2p8(s323)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22978, 22974])).
% 8.09/5.96 tff(22980,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22981,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s323) | xuntil2p8(s323) | (~until2p7(s323)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22982,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s323) | xuntil2p8(s323) | (~until2p7(s323))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22981, 22980])).
% 8.09/5.96 tff(22983,plain,
% 8.09/5.96 (xuntil2p8(s323) | (~until2p7(s323))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22982, 22704, 22224])).
% 8.09/5.96 tff(22984,plain,
% 8.09/5.96 (~until2p7(s323)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22983, 22979])).
% 8.09/5.96 tff(22985,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22986,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s322, s323)) | until2p7(s323) | (~xuntil2p8(s322)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22987,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s322, s323)) | until2p7(s323) | (~xuntil2p8(s322))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22986, 22985])).
% 8.09/5.96 tff(22988,plain,
% 8.09/5.96 (until2p7(s323) | (~xuntil2p8(s322))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22987, 19094, 22719])).
% 8.09/5.96 tff(22989,plain,
% 8.09/5.96 (~xuntil2p8(s322)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22988, 22984])).
% 8.09/5.96 tff(22990,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22991,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s322) | xuntil2p8(s322) | (~until2p7(s322)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22992,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s322) | xuntil2p8(s322) | (~until2p7(s322))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22991, 22990])).
% 8.09/5.96 tff(22993,plain,
% 8.09/5.96 (xuntil2p8(s322) | (~until2p7(s322))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22992, 22704, 22207])).
% 8.09/5.96 tff(22994,plain,
% 8.09/5.96 (~until2p7(s322)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22993, 22989])).
% 8.09/5.96 tff(22995,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(22996,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s321, s322)) | until2p7(s322) | (~xuntil2p8(s321)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(22997,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s321, s322)) | until2p7(s322) | (~xuntil2p8(s321))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[22996, 22995])).
% 8.09/5.96 tff(22998,plain,
% 8.09/5.96 (until2p7(s322) | (~xuntil2p8(s321))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22997, 19106, 22719])).
% 8.09/5.96 tff(22999,plain,
% 8.09/5.96 (~xuntil2p8(s321)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[22998, 22994])).
% 8.09/5.96 tff(23000,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(23001,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s321) | xuntil2p8(s321) | (~until2p7(s321)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(23002,plain,
% 8.09/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s321) | xuntil2p8(s321) | (~until2p7(s321))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[23001, 23000])).
% 8.09/5.96 tff(23003,plain,
% 8.09/5.96 (xuntil2p8(s321) | (~until2p7(s321))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[23002, 22704, 22190])).
% 8.09/5.96 tff(23004,plain,
% 8.09/5.96 (~until2p7(s321)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[23003, 22999])).
% 8.09/5.96 tff(23005,plain,
% 8.09/5.96 (((~![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)))),
% 8.09/5.96 inference(rewrite,[status(thm)],[])).
% 8.09/5.96 tff(23006,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s320, s321)) | until2p7(s321) | (~xuntil2p8(s320)))),
% 8.09/5.96 inference(quant_inst,[status(thm)],[])).
% 8.09/5.96 tff(23007,plain,
% 8.09/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s320, s321)) | until2p7(s321) | (~xuntil2p8(s320))),
% 8.09/5.96 inference(modus_ponens,[status(thm)],[23006, 23005])).
% 8.09/5.96 tff(23008,plain,
% 8.09/5.96 (until2p7(s321) | (~xuntil2p8(s320))),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[23007, 19118, 22719])).
% 8.09/5.96 tff(23009,plain,
% 8.09/5.96 (~xuntil2p8(s320)),
% 8.09/5.96 inference(unit_resolution,[status(thm)],[23008, 23004])).
% 8.09/5.96 tff(23010,plain,
% 8.09/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23011,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s320) | xuntil2p8(s320) | (~until2p7(s320)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23012,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s320) | xuntil2p8(s320) | (~until2p7(s320))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23011, 23010])).
% 8.19/5.96 tff(23013,plain,
% 8.19/5.96 (xuntil2p8(s320) | (~until2p7(s320))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23012, 22704, 22173])).
% 8.19/5.96 tff(23014,plain,
% 8.19/5.96 (~until2p7(s320)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23013, 23009])).
% 8.19/5.96 tff(23015,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23016,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s319, s320)) | until2p7(s320) | (~xuntil2p8(s319)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23017,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s319, s320)) | until2p7(s320) | (~xuntil2p8(s319))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23016, 23015])).
% 8.19/5.96 tff(23018,plain,
% 8.19/5.96 (until2p7(s320) | (~xuntil2p8(s319))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23017, 19130, 22719])).
% 8.19/5.96 tff(23019,plain,
% 8.19/5.96 (~xuntil2p8(s319)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23018, 23014])).
% 8.19/5.96 tff(23020,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23021,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s319) | xuntil2p8(s319) | (~until2p7(s319)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23022,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s319) | xuntil2p8(s319) | (~until2p7(s319))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23021, 23020])).
% 8.19/5.96 tff(23023,plain,
% 8.19/5.96 (xuntil2p8(s319) | (~until2p7(s319))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23022, 22704, 22156])).
% 8.19/5.96 tff(23024,plain,
% 8.19/5.96 (~until2p7(s319)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23023, 23019])).
% 8.19/5.96 tff(23025,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23026,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s318, s319)) | until2p7(s319) | (~xuntil2p8(s318)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23027,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s318, s319)) | until2p7(s319) | (~xuntil2p8(s318))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23026, 23025])).
% 8.19/5.96 tff(23028,plain,
% 8.19/5.96 (until2p7(s319) | (~xuntil2p8(s318))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23027, 19142, 22719])).
% 8.19/5.96 tff(23029,plain,
% 8.19/5.96 (~xuntil2p8(s318)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23028, 23024])).
% 8.19/5.96 tff(23030,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23031,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s318) | xuntil2p8(s318) | (~until2p7(s318)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23032,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s318) | xuntil2p8(s318) | (~until2p7(s318))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23031, 23030])).
% 8.19/5.96 tff(23033,plain,
% 8.19/5.96 (xuntil2p8(s318) | (~until2p7(s318))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23032, 22704, 22139])).
% 8.19/5.96 tff(23034,plain,
% 8.19/5.96 (~until2p7(s318)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23033, 23029])).
% 8.19/5.96 tff(23035,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23036,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s317, s318)) | until2p7(s318) | (~xuntil2p8(s317)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23037,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s317, s318)) | until2p7(s318) | (~xuntil2p8(s317))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23036, 23035])).
% 8.19/5.96 tff(23038,plain,
% 8.19/5.96 (until2p7(s318) | (~xuntil2p8(s317))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23037, 19154, 22719])).
% 8.19/5.96 tff(23039,plain,
% 8.19/5.96 (~xuntil2p8(s317)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23038, 23034])).
% 8.19/5.96 tff(23040,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23041,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s317) | xuntil2p8(s317) | (~until2p7(s317)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23042,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s317) | xuntil2p8(s317) | (~until2p7(s317))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23041, 23040])).
% 8.19/5.96 tff(23043,plain,
% 8.19/5.96 (xuntil2p8(s317) | (~until2p7(s317))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23042, 22704, 22122])).
% 8.19/5.96 tff(23044,plain,
% 8.19/5.96 (~until2p7(s317)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23043, 23039])).
% 8.19/5.96 tff(23045,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23046,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s316, s317)) | until2p7(s317) | (~xuntil2p8(s316)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23047,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s316, s317)) | until2p7(s317) | (~xuntil2p8(s316))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23046, 23045])).
% 8.19/5.96 tff(23048,plain,
% 8.19/5.96 (until2p7(s317) | (~xuntil2p8(s316))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23047, 19166, 22719])).
% 8.19/5.96 tff(23049,plain,
% 8.19/5.96 (~xuntil2p8(s316)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23048, 23044])).
% 8.19/5.96 tff(23050,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23051,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s316) | xuntil2p8(s316) | (~until2p7(s316)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23052,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s316) | xuntil2p8(s316) | (~until2p7(s316))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23051, 23050])).
% 8.19/5.96 tff(23053,plain,
% 8.19/5.96 (xuntil2p8(s316) | (~until2p7(s316))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23052, 22704, 22105])).
% 8.19/5.96 tff(23054,plain,
% 8.19/5.96 (~until2p7(s316)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23053, 23049])).
% 8.19/5.96 tff(23055,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23056,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s315, s316)) | until2p7(s316) | (~xuntil2p8(s315)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23057,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s315, s316)) | until2p7(s316) | (~xuntil2p8(s315))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23056, 23055])).
% 8.19/5.96 tff(23058,plain,
% 8.19/5.96 (until2p7(s316) | (~xuntil2p8(s315))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23057, 19178, 22719])).
% 8.19/5.96 tff(23059,plain,
% 8.19/5.96 (~xuntil2p8(s315)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23058, 23054])).
% 8.19/5.96 tff(23060,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23061,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s315) | xuntil2p8(s315) | (~until2p7(s315)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23062,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s315) | xuntil2p8(s315) | (~until2p7(s315))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23061, 23060])).
% 8.19/5.96 tff(23063,plain,
% 8.19/5.96 (xuntil2p8(s315) | (~until2p7(s315))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23062, 22704, 22088])).
% 8.19/5.96 tff(23064,plain,
% 8.19/5.96 (~until2p7(s315)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23063, 23059])).
% 8.19/5.96 tff(23065,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23066,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s314, s315)) | until2p7(s315) | (~xuntil2p8(s314)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23067,plain,
% 8.19/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s314, s315)) | until2p7(s315) | (~xuntil2p8(s314))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23066, 23065])).
% 8.19/5.96 tff(23068,plain,
% 8.19/5.96 (until2p7(s315) | (~xuntil2p8(s314))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23067, 19190, 22719])).
% 8.19/5.96 tff(23069,plain,
% 8.19/5.96 (~xuntil2p8(s314)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23068, 23064])).
% 8.19/5.96 tff(23070,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.96 tff(23071,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s314) | xuntil2p8(s314) | (~until2p7(s314)))),
% 8.19/5.96 inference(quant_inst,[status(thm)],[])).
% 8.19/5.96 tff(23072,plain,
% 8.19/5.96 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s314) | xuntil2p8(s314) | (~until2p7(s314))),
% 8.19/5.96 inference(modus_ponens,[status(thm)],[23071, 23070])).
% 8.19/5.96 tff(23073,plain,
% 8.19/5.96 (xuntil2p8(s314) | (~until2p7(s314))),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23072, 22704, 22071])).
% 8.19/5.96 tff(23074,plain,
% 8.19/5.96 (~until2p7(s314)),
% 8.19/5.96 inference(unit_resolution,[status(thm)],[23073, 23069])).
% 8.19/5.96 tff(23075,plain,
% 8.19/5.96 (((~![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)))),
% 8.19/5.96 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23076,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s313, s314)) | until2p7(s314) | (~xuntil2p8(s313)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23077,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s313, s314)) | until2p7(s314) | (~xuntil2p8(s313))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23076, 23075])).
% 8.19/5.97 tff(23078,plain,
% 8.19/5.97 (until2p7(s314) | (~xuntil2p8(s313))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23077, 19202, 22719])).
% 8.19/5.97 tff(23079,plain,
% 8.19/5.97 (~xuntil2p8(s313)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23078, 23074])).
% 8.19/5.97 tff(23080,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23081,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s313) | xuntil2p8(s313) | (~until2p7(s313)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23082,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s313) | xuntil2p8(s313) | (~until2p7(s313))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23081, 23080])).
% 8.19/5.97 tff(23083,plain,
% 8.19/5.97 (xuntil2p8(s313) | (~until2p7(s313))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23082, 22704, 22054])).
% 8.19/5.97 tff(23084,plain,
% 8.19/5.97 (~until2p7(s313)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23083, 23079])).
% 8.19/5.97 tff(23085,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23086,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s312, s313)) | until2p7(s313) | (~xuntil2p8(s312)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23087,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s312, s313)) | until2p7(s313) | (~xuntil2p8(s312))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23086, 23085])).
% 8.19/5.97 tff(23088,plain,
% 8.19/5.97 (until2p7(s313) | (~xuntil2p8(s312))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23087, 19214, 22719])).
% 8.19/5.97 tff(23089,plain,
% 8.19/5.97 (~xuntil2p8(s312)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23088, 23084])).
% 8.19/5.97 tff(23090,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23091,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s312) | xuntil2p8(s312) | (~until2p7(s312)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23092,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s312) | xuntil2p8(s312) | (~until2p7(s312))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23091, 23090])).
% 8.19/5.97 tff(23093,plain,
% 8.19/5.97 (xuntil2p8(s312) | (~until2p7(s312))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23092, 22704, 22037])).
% 8.19/5.97 tff(23094,plain,
% 8.19/5.97 (~until2p7(s312)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23093, 23089])).
% 8.19/5.97 tff(23095,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23096,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s311, s312)) | until2p7(s312) | (~xuntil2p8(s311)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23097,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s311, s312)) | until2p7(s312) | (~xuntil2p8(s311))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23096, 23095])).
% 8.19/5.97 tff(23098,plain,
% 8.19/5.97 (until2p7(s312) | (~xuntil2p8(s311))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23097, 19226, 22719])).
% 8.19/5.97 tff(23099,plain,
% 8.19/5.97 (~xuntil2p8(s311)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23098, 23094])).
% 8.19/5.97 tff(23100,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23101,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s311) | xuntil2p8(s311) | (~until2p7(s311)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23102,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s311) | xuntil2p8(s311) | (~until2p7(s311))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23101, 23100])).
% 8.19/5.97 tff(23103,plain,
% 8.19/5.97 (xuntil2p8(s311) | (~until2p7(s311))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23102, 22704, 22020])).
% 8.19/5.97 tff(23104,plain,
% 8.19/5.97 (~until2p7(s311)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23103, 23099])).
% 8.19/5.97 tff(23105,plain,
% 8.19/5.97 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)))),
% 8.19/5.97 inference(bind,[status(th)],[])).
% 8.19/5.97 tff(23106,plain,
% 8.19/5.97 (![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))),
% 8.19/5.97 inference(quant_intro,[status(thm)],[23105])).
% 8.19/5.97 tff(23107,plain,
% 8.19/5.97 (![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))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23108,plain,
% 8.19/5.97 (^[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))))),
% 8.19/5.97 inference(bind,[status(th)],[])).
% 8.19/5.97 tff(23109,plain,
% 8.19/5.97 (![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))),
% 8.19/5.97 inference(quant_intro,[status(thm)],[23108])).
% 8.19/5.97 tff(23110,axiom,(![Y: $i, X: $i] : (((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty9')).
% 8.19/5.97 tff(23111,plain,
% 8.19/5.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23110, 23109])).
% 8.19/5.97 tff(23112,plain,
% 8.19/5.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23111, 23107])).
% 8.19/5.97 tff(23113,plain,(
% 8.19/5.97 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 8.19/5.97 inference(skolemize,[status(sab)],[23112])).
% 8.19/5.97 tff(23114,plain,
% 8.19/5.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23113, 23106])).
% 8.19/5.97 tff(23115,plain,
% 8.19/5.97 (~node4(s37)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[2810, 16, 20366])).
% 8.19/5.97 tff(23116,plain,
% 8.19/5.97 (~always3(s36)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[2802, 20366])).
% 8.19/5.97 tff(23117,plain,
% 8.19/5.97 (~always3(s35)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[2721, 23116])).
% 8.19/5.97 tff(23118,plain,
% 8.19/5.97 (~node4(s35)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[2663, 16, 23117])).
% 8.19/5.97 tff(23119,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[2683, 23117])).
% 8.19/5.97 tff(23120,plain,
% 8.19/5.97 (~node4(s34)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[2687, 16, 23119])).
% 8.19/5.97 tff(23121,plain,
% 8.19/5.97 (~always3(s33)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[2018, 23119])).
% 8.19/5.97 tff(23122,plain,
% 8.19/5.97 (~node4(s33)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1599, 16, 23121])).
% 8.19/5.97 tff(23123,plain,
% 8.19/5.97 (~always3(s32)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1579, 23121])).
% 8.19/5.97 tff(23124,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1591, 23123])).
% 8.19/5.97 tff(23125,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1595, 16, 23124])).
% 8.19/5.97 tff(23126,plain,
% 8.19/5.97 (~always3(s30)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[116, 23124])).
% 8.19/5.97 tff(23127,plain,
% 8.19/5.97 (~node4(s30)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[19, 16, 23126])).
% 8.19/5.97 tff(23128,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1702, 23126])).
% 8.19/5.97 tff(23129,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1706, 16, 23128])).
% 8.19/5.97 tff(23130,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1731, 23128])).
% 8.19/5.97 tff(23131,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1735, 16, 23130])).
% 8.19/5.97 tff(23132,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1760, 23130])).
% 8.19/5.97 tff(23133,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1789, 23132])).
% 8.19/5.97 tff(23134,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1793, 16, 23133])).
% 8.19/5.97 tff(23135,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1818, 23133])).
% 8.19/5.97 tff(23136,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1996, 16, 23135])).
% 8.19/5.97 tff(23137,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1830, 23135])).
% 8.19/5.97 tff(23138,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1979, 16, 23137])).
% 8.19/5.97 tff(23139,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1842, 23137])).
% 8.19/5.97 tff(23140,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1962, 16, 23139])).
% 8.19/5.97 tff(23141,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1854, 23139])).
% 8.19/5.97 tff(23142,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1945, 16, 23141])).
% 8.19/5.97 tff(23143,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[240, 23141])).
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[228, 16, 23143])).
% 8.19/5.97 tff(23145,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1867, 23143])).
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1914, 16, 23145])).
% 8.19/5.97 tff(23147,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[289, 23147])).
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% 8.19/5.97 tff(23151,plain,
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1518, 23149])).
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% 8.19/5.97 inference(unit_resolution,[status(thm)],[1480, 23151])).
% 8.19/5.97 tff(23154,plain,
% 8.19/5.97 (~always3(s15)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1418, 23153])).
% 8.19/5.97 tff(23155,plain,
% 8.19/5.97 (~node4(s15)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1326, 16, 23154])).
% 8.19/5.97 tff(23156,plain,
% 8.19/5.97 (~always3(s14)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1283, 23154])).
% 8.19/5.97 tff(23157,plain,
% 8.19/5.97 (~always3(s13)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1166, 23156])).
% 8.19/5.97 tff(23158,plain,
% 8.19/5.97 (~node4(s13)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1052, 16, 23157])).
% 8.19/5.97 tff(23159,plain,
% 8.19/5.97 (~always3(s12)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1032, 23157])).
% 8.19/5.97 tff(23160,plain,
% 8.19/5.97 (~always3(s11)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1044, 23159])).
% 8.19/5.97 tff(23161,plain,
% 8.19/5.97 (~node4(s11)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1048, 16, 23160])).
% 8.19/5.97 tff(23162,plain,
% 8.19/5.97 (~always3(s10)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1128, 23160])).
% 8.19/5.97 tff(23163,plain,
% 8.19/5.97 (~node4(s10)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[1132, 16, 23162])).
% 8.19/5.97 tff(23164,plain,
% 8.19/5.97 (~always3(s9)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[871, 23162])).
% 8.19/5.97 tff(23165,plain,
% 8.19/5.97 (~node4(s9)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[751, 16, 23164])).
% 8.19/5.97 tff(23166,plain,
% 8.19/5.97 (~always3(s8)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[743, 23164])).
% 8.19/5.97 tff(23167,plain,
% 8.19/5.97 (~node4(s8)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[747, 16, 23166])).
% 8.19/5.97 tff(23168,plain,
% 8.19/5.97 (~always3(s7)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[788, 23166])).
% 8.19/5.97 tff(23169,plain,
% 8.19/5.97 (~always3(s6)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[817, 23168])).
% 8.19/5.97 tff(23170,plain,
% 8.19/5.97 (~always3(s5)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[693, 23169])).
% 8.19/5.97 tff(23171,plain,
% 8.19/5.97 (~always3(s4)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[484, 23170])).
% 8.19/5.97 tff(23172,plain,
% 8.19/5.97 (~node4(s4)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[341, 16, 23171])).
% 8.19/5.97 tff(23173,plain,
% 8.19/5.97 (~always3(s3)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[333, 23171])).
% 8.19/5.97 tff(23174,plain,
% 8.19/5.97 (~node4(s3)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[337, 16, 23173])).
% 8.19/5.97 tff(23175,plain,
% 8.19/5.97 (~always3(s2)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[398, 23173])).
% 8.19/5.97 tff(23176,plain,
% 8.19/5.97 (~node4(s2)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[462, 16, 23175])).
% 8.19/5.97 tff(23177,plain,
% 8.19/5.97 (~always3(s1)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[410, 23175])).
% 8.19/5.97 tff(23178,plain,
% 8.19/5.97 (~node4(s1)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[414, 16, 23177])).
% 8.19/5.97 tff(23179,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23180,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s310, s311)) | until2p7(s311) | (~xuntil2p8(s310)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23181,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s310, s311)) | until2p7(s311) | (~xuntil2p8(s310))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23180, 23179])).
% 8.19/5.97 tff(23182,plain,
% 8.19/5.97 (until2p7(s311) | (~xuntil2p8(s310))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23181, 19238, 22719])).
% 8.19/5.97 tff(23183,plain,
% 8.19/5.97 (~xuntil2p8(s310)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23182, 23104])).
% 8.19/5.97 tff(23184,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23185,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s310) | xuntil2p8(s310) | (~until2p7(s310)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23186,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s310) | xuntil2p8(s310) | (~until2p7(s310))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23185, 23184])).
% 8.19/5.97 tff(23187,plain,
% 8.19/5.97 (xuntil2p8(s310) | (~until2p7(s310))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23186, 22704, 22003])).
% 8.19/5.97 tff(23188,plain,
% 8.19/5.97 (~until2p7(s310)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23187, 23183])).
% 8.19/5.97 tff(23189,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23190,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s309, s310)) | until2p7(s310) | (~xuntil2p8(s309)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23191,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s309, s310)) | until2p7(s310) | (~xuntil2p8(s309))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23190, 23189])).
% 8.19/5.97 tff(23192,plain,
% 8.19/5.97 (until2p7(s310) | (~xuntil2p8(s309))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23191, 19250, 22719])).
% 8.19/5.97 tff(23193,plain,
% 8.19/5.97 (~xuntil2p8(s309)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23192, 23188])).
% 8.19/5.97 tff(23194,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23195,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s309) | xuntil2p8(s309) | (~until2p7(s309)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23196,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s309) | xuntil2p8(s309) | (~until2p7(s309))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23195, 23194])).
% 8.19/5.97 tff(23197,plain,
% 8.19/5.97 (xuntil2p8(s309) | (~until2p7(s309))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23196, 22704, 21986])).
% 8.19/5.97 tff(23198,plain,
% 8.19/5.97 (~until2p7(s309)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23197, 23193])).
% 8.19/5.97 tff(23199,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23200,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s308, s309)) | until2p7(s309) | (~xuntil2p8(s308)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23201,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s308, s309)) | until2p7(s309) | (~xuntil2p8(s308))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23200, 23199])).
% 8.19/5.97 tff(23202,plain,
% 8.19/5.97 (until2p7(s309) | (~xuntil2p8(s308))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23201, 19262, 22719])).
% 8.19/5.97 tff(23203,plain,
% 8.19/5.97 (~xuntil2p8(s308)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23202, 23198])).
% 8.19/5.97 tff(23204,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23205,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s308) | xuntil2p8(s308) | (~until2p7(s308)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23206,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s308) | xuntil2p8(s308) | (~until2p7(s308))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23205, 23204])).
% 8.19/5.97 tff(23207,plain,
% 8.19/5.97 (xuntil2p8(s308) | (~until2p7(s308))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23206, 22704, 21969])).
% 8.19/5.97 tff(23208,plain,
% 8.19/5.97 (~until2p7(s308)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23207, 23203])).
% 8.19/5.97 tff(23209,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23210,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s307, s308)) | until2p7(s308) | (~xuntil2p8(s307)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23211,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s307, s308)) | until2p7(s308) | (~xuntil2p8(s307))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23210, 23209])).
% 8.19/5.97 tff(23212,plain,
% 8.19/5.97 (until2p7(s308) | (~xuntil2p8(s307))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23211, 19274, 22719])).
% 8.19/5.97 tff(23213,plain,
% 8.19/5.97 (~xuntil2p8(s307)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23212, 23208])).
% 8.19/5.97 tff(23214,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23215,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s307) | xuntil2p8(s307) | (~until2p7(s307)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23216,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s307) | xuntil2p8(s307) | (~until2p7(s307))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23215, 23214])).
% 8.19/5.97 tff(23217,plain,
% 8.19/5.97 (xuntil2p8(s307) | (~until2p7(s307))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23216, 22704, 21952])).
% 8.19/5.97 tff(23218,plain,
% 8.19/5.97 (~until2p7(s307)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23217, 23213])).
% 8.19/5.97 tff(23219,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23220,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s306, s307)) | until2p7(s307) | (~xuntil2p8(s306)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23221,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s306, s307)) | until2p7(s307) | (~xuntil2p8(s306))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23220, 23219])).
% 8.19/5.97 tff(23222,plain,
% 8.19/5.97 (until2p7(s307) | (~xuntil2p8(s306))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23221, 19286, 22719])).
% 8.19/5.97 tff(23223,plain,
% 8.19/5.97 (~xuntil2p8(s306)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23222, 23218])).
% 8.19/5.97 tff(23224,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23225,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s306) | xuntil2p8(s306) | (~until2p7(s306)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23226,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s306) | xuntil2p8(s306) | (~until2p7(s306))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23225, 23224])).
% 8.19/5.97 tff(23227,plain,
% 8.19/5.97 (xuntil2p8(s306) | (~until2p7(s306))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23226, 22704, 21935])).
% 8.19/5.97 tff(23228,plain,
% 8.19/5.97 (~until2p7(s306)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23227, 23223])).
% 8.19/5.97 tff(23229,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23230,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s305, s306)) | until2p7(s306) | (~xuntil2p8(s305)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23231,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s305, s306)) | until2p7(s306) | (~xuntil2p8(s305))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23230, 23229])).
% 8.19/5.97 tff(23232,plain,
% 8.19/5.97 (until2p7(s306) | (~xuntil2p8(s305))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23231, 19298, 22719])).
% 8.19/5.97 tff(23233,plain,
% 8.19/5.97 (~xuntil2p8(s305)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23232, 23228])).
% 8.19/5.97 tff(23234,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23235,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s305) | xuntil2p8(s305) | (~until2p7(s305)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23236,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s305) | xuntil2p8(s305) | (~until2p7(s305))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23235, 23234])).
% 8.19/5.97 tff(23237,plain,
% 8.19/5.97 (xuntil2p8(s305) | (~until2p7(s305))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23236, 22704, 21918])).
% 8.19/5.97 tff(23238,plain,
% 8.19/5.97 (~until2p7(s305)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23237, 23233])).
% 8.19/5.97 tff(23239,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23240,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s304, s305)) | until2p7(s305) | (~xuntil2p8(s304)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23241,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s304, s305)) | until2p7(s305) | (~xuntil2p8(s304))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23240, 23239])).
% 8.19/5.97 tff(23242,plain,
% 8.19/5.97 (until2p7(s305) | (~xuntil2p8(s304))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23241, 19310, 22719])).
% 8.19/5.97 tff(23243,plain,
% 8.19/5.97 (~xuntil2p8(s304)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23242, 23238])).
% 8.19/5.97 tff(23244,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23245,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s304) | xuntil2p8(s304) | (~until2p7(s304)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23246,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s304) | xuntil2p8(s304) | (~until2p7(s304))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23245, 23244])).
% 8.19/5.97 tff(23247,plain,
% 8.19/5.97 (xuntil2p8(s304) | (~until2p7(s304))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23246, 22704, 21901])).
% 8.19/5.97 tff(23248,plain,
% 8.19/5.97 (~until2p7(s304)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23247, 23243])).
% 8.19/5.97 tff(23249,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23250,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s303, s304)) | until2p7(s304) | (~xuntil2p8(s303)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23251,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s303, s304)) | until2p7(s304) | (~xuntil2p8(s303))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23250, 23249])).
% 8.19/5.97 tff(23252,plain,
% 8.19/5.97 (until2p7(s304) | (~xuntil2p8(s303))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23251, 19322, 22719])).
% 8.19/5.97 tff(23253,plain,
% 8.19/5.97 (~xuntil2p8(s303)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23252, 23248])).
% 8.19/5.97 tff(23254,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23255,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s303) | xuntil2p8(s303) | (~until2p7(s303)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23256,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s303) | xuntil2p8(s303) | (~until2p7(s303))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23255, 23254])).
% 8.19/5.97 tff(23257,plain,
% 8.19/5.97 (xuntil2p8(s303) | (~until2p7(s303))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23256, 22704, 21884])).
% 8.19/5.97 tff(23258,plain,
% 8.19/5.97 (~until2p7(s303)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23257, 23253])).
% 8.19/5.97 tff(23259,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23260,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s302, s303)) | until2p7(s303) | (~xuntil2p8(s302)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23261,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s302, s303)) | until2p7(s303) | (~xuntil2p8(s302))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23260, 23259])).
% 8.19/5.97 tff(23262,plain,
% 8.19/5.97 (until2p7(s303) | (~xuntil2p8(s302))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23261, 19334, 22719])).
% 8.19/5.97 tff(23263,plain,
% 8.19/5.97 (~xuntil2p8(s302)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23262, 23258])).
% 8.19/5.97 tff(23264,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23265,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s302) | xuntil2p8(s302) | (~until2p7(s302)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23266,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s302) | xuntil2p8(s302) | (~until2p7(s302))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23265, 23264])).
% 8.19/5.97 tff(23267,plain,
% 8.19/5.97 (xuntil2p8(s302) | (~until2p7(s302))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23266, 22704, 21867])).
% 8.19/5.97 tff(23268,plain,
% 8.19/5.97 (~until2p7(s302)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23267, 23263])).
% 8.19/5.97 tff(23269,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23270,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s301, s302)) | until2p7(s302) | (~xuntil2p8(s301)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23271,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s301, s302)) | until2p7(s302) | (~xuntil2p8(s301))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23270, 23269])).
% 8.19/5.97 tff(23272,plain,
% 8.19/5.97 (until2p7(s302) | (~xuntil2p8(s301))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23271, 19346, 22719])).
% 8.19/5.97 tff(23273,plain,
% 8.19/5.97 (~xuntil2p8(s301)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23272, 23268])).
% 8.19/5.97 tff(23274,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23275,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s301) | xuntil2p8(s301) | (~until2p7(s301)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23276,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s301) | xuntil2p8(s301) | (~until2p7(s301))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23275, 23274])).
% 8.19/5.97 tff(23277,plain,
% 8.19/5.97 (xuntil2p8(s301) | (~until2p7(s301))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23276, 22704, 21850])).
% 8.19/5.97 tff(23278,plain,
% 8.19/5.97 (~until2p7(s301)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23277, 23273])).
% 8.19/5.97 tff(23279,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23280,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s300, s301)) | until2p7(s301) | (~xuntil2p8(s300)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23281,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s300, s301)) | until2p7(s301) | (~xuntil2p8(s300))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23280, 23279])).
% 8.19/5.97 tff(23282,plain,
% 8.19/5.97 (until2p7(s301) | (~xuntil2p8(s300))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23281, 19358, 22719])).
% 8.19/5.97 tff(23283,plain,
% 8.19/5.97 (~xuntil2p8(s300)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23282, 23278])).
% 8.19/5.97 tff(23284,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23285,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s300) | xuntil2p8(s300) | (~until2p7(s300)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23286,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s300) | xuntil2p8(s300) | (~until2p7(s300))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23285, 23284])).
% 8.19/5.97 tff(23287,plain,
% 8.19/5.97 (xuntil2p8(s300) | (~until2p7(s300))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23286, 22704, 21833])).
% 8.19/5.97 tff(23288,plain,
% 8.19/5.97 (~until2p7(s300)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23287, 23283])).
% 8.19/5.97 tff(23289,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23290,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s299, s300)) | until2p7(s300) | (~xuntil2p8(s299)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23291,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s299, s300)) | until2p7(s300) | (~xuntil2p8(s299))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23290, 23289])).
% 8.19/5.97 tff(23292,plain,
% 8.19/5.97 (until2p7(s300) | (~xuntil2p8(s299))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23291, 19370, 22719])).
% 8.19/5.97 tff(23293,plain,
% 8.19/5.97 (~xuntil2p8(s299)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23292, 23288])).
% 8.19/5.97 tff(23294,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23295,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s299) | xuntil2p8(s299) | (~until2p7(s299)))),
% 8.19/5.97 inference(quant_inst,[status(thm)],[])).
% 8.19/5.97 tff(23296,plain,
% 8.19/5.97 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s299) | xuntil2p8(s299) | (~until2p7(s299))),
% 8.19/5.97 inference(modus_ponens,[status(thm)],[23295, 23294])).
% 8.19/5.97 tff(23297,plain,
% 8.19/5.97 (xuntil2p8(s299) | (~until2p7(s299))),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23296, 22704, 21816])).
% 8.19/5.97 tff(23298,plain,
% 8.19/5.97 (~until2p7(s299)),
% 8.19/5.97 inference(unit_resolution,[status(thm)],[23297, 23293])).
% 8.19/5.97 tff(23299,plain,
% 8.19/5.97 (((~![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)))),
% 8.19/5.97 inference(rewrite,[status(thm)],[])).
% 8.19/5.97 tff(23300,plain,
% 8.19/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23301,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23300, 23299])).
% 8.19/5.98 tff(23302,plain,
% 8.19/5.98 (until2p7(s299) | (~xuntil2p8(s298))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23301, 19382, 22719])).
% 8.19/5.98 tff(23303,plain,
% 8.19/5.98 (~xuntil2p8(s298)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23302, 23298])).
% 8.19/5.98 tff(23304,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23305,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s298) | xuntil2p8(s298) | (~until2p7(s298)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23306,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s298) | xuntil2p8(s298) | (~until2p7(s298))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23305, 23304])).
% 8.19/5.98 tff(23307,plain,
% 8.19/5.98 (xuntil2p8(s298) | (~until2p7(s298))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23306, 22704, 21799])).
% 8.19/5.98 tff(23308,plain,
% 8.19/5.98 (~until2p7(s298)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23307, 23303])).
% 8.19/5.98 tff(23309,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23310,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23311,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23310, 23309])).
% 8.19/5.98 tff(23312,plain,
% 8.19/5.98 (until2p7(s298) | (~xuntil2p8(s297))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23311, 19394, 22719])).
% 8.19/5.98 tff(23313,plain,
% 8.19/5.98 (~xuntil2p8(s297)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23312, 23308])).
% 8.19/5.98 tff(23314,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23315,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s297) | xuntil2p8(s297) | (~until2p7(s297)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23316,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s297) | xuntil2p8(s297) | (~until2p7(s297))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23315, 23314])).
% 8.19/5.98 tff(23317,plain,
% 8.19/5.98 (xuntil2p8(s297) | (~until2p7(s297))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23316, 22704, 21782])).
% 8.19/5.98 tff(23318,plain,
% 8.19/5.98 (~until2p7(s297)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23317, 23313])).
% 8.19/5.98 tff(23319,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23320,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23321,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23320, 23319])).
% 8.19/5.98 tff(23322,plain,
% 8.19/5.98 (until2p7(s297) | (~xuntil2p8(s296))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23321, 19406, 22719])).
% 8.19/5.98 tff(23323,plain,
% 8.19/5.98 (~xuntil2p8(s296)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23322, 23318])).
% 8.19/5.98 tff(23324,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23325,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s296) | xuntil2p8(s296) | (~until2p7(s296)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23326,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s296) | xuntil2p8(s296) | (~until2p7(s296))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23325, 23324])).
% 8.19/5.98 tff(23327,plain,
% 8.19/5.98 (xuntil2p8(s296) | (~until2p7(s296))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23326, 22704, 21765])).
% 8.19/5.98 tff(23328,plain,
% 8.19/5.98 (~until2p7(s296)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23327, 23323])).
% 8.19/5.98 tff(23329,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23330,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23331,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23330, 23329])).
% 8.19/5.98 tff(23332,plain,
% 8.19/5.98 (until2p7(s296) | (~xuntil2p8(s295))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23331, 19418, 22719])).
% 8.19/5.98 tff(23333,plain,
% 8.19/5.98 (~xuntil2p8(s295)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23332, 23328])).
% 8.19/5.98 tff(23334,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23335,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s295) | xuntil2p8(s295) | (~until2p7(s295)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23336,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s295) | xuntil2p8(s295) | (~until2p7(s295))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23335, 23334])).
% 8.19/5.98 tff(23337,plain,
% 8.19/5.98 (xuntil2p8(s295) | (~until2p7(s295))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23336, 22704, 21748])).
% 8.19/5.98 tff(23338,plain,
% 8.19/5.98 (~until2p7(s295)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23337, 23333])).
% 8.19/5.98 tff(23339,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23340,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23341,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23340, 23339])).
% 8.19/5.98 tff(23342,plain,
% 8.19/5.98 (until2p7(s295) | (~xuntil2p8(s294))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23341, 19430, 22719])).
% 8.19/5.98 tff(23343,plain,
% 8.19/5.98 (~xuntil2p8(s294)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23342, 23338])).
% 8.19/5.98 tff(23344,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23345,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s294) | xuntil2p8(s294) | (~until2p7(s294)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23346,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s294) | xuntil2p8(s294) | (~until2p7(s294))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23345, 23344])).
% 8.19/5.98 tff(23347,plain,
% 8.19/5.98 (xuntil2p8(s294) | (~until2p7(s294))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23346, 22704, 21731])).
% 8.19/5.98 tff(23348,plain,
% 8.19/5.98 (~until2p7(s294)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23347, 23343])).
% 8.19/5.98 tff(23349,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23350,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23351,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23350, 23349])).
% 8.19/5.98 tff(23352,plain,
% 8.19/5.98 (until2p7(s294) | (~xuntil2p8(s293))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23351, 19442, 22719])).
% 8.19/5.98 tff(23353,plain,
% 8.19/5.98 (~xuntil2p8(s293)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23352, 23348])).
% 8.19/5.98 tff(23354,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23355,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s293) | xuntil2p8(s293) | (~until2p7(s293)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23356,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s293) | xuntil2p8(s293) | (~until2p7(s293))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23355, 23354])).
% 8.19/5.98 tff(23357,plain,
% 8.19/5.98 (xuntil2p8(s293) | (~until2p7(s293))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23356, 22704, 21714])).
% 8.19/5.98 tff(23358,plain,
% 8.19/5.98 (~until2p7(s293)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23357, 23353])).
% 8.19/5.98 tff(23359,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23360,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23361,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23360, 23359])).
% 8.19/5.98 tff(23362,plain,
% 8.19/5.98 (until2p7(s293) | (~xuntil2p8(s292))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23361, 19454, 22719])).
% 8.19/5.98 tff(23363,plain,
% 8.19/5.98 (~xuntil2p8(s292)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23362, 23358])).
% 8.19/5.98 tff(23364,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23365,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s292) | xuntil2p8(s292) | (~until2p7(s292)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23366,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s292) | xuntil2p8(s292) | (~until2p7(s292))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23365, 23364])).
% 8.19/5.98 tff(23367,plain,
% 8.19/5.98 (xuntil2p8(s292) | (~until2p7(s292))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23366, 22704, 21697])).
% 8.19/5.98 tff(23368,plain,
% 8.19/5.98 (~until2p7(s292)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23367, 23363])).
% 8.19/5.98 tff(23369,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23370,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23371,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23370, 23369])).
% 8.19/5.98 tff(23372,plain,
% 8.19/5.98 (until2p7(s292) | (~xuntil2p8(s291))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23371, 19466, 22719])).
% 8.19/5.98 tff(23373,plain,
% 8.19/5.98 (~xuntil2p8(s291)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23372, 23368])).
% 8.19/5.98 tff(23374,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23375,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s291) | xuntil2p8(s291) | (~until2p7(s291)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23376,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s291) | xuntil2p8(s291) | (~until2p7(s291))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23375, 23374])).
% 8.19/5.98 tff(23377,plain,
% 8.19/5.98 (xuntil2p8(s291) | (~until2p7(s291))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23376, 22704, 21680])).
% 8.19/5.98 tff(23378,plain,
% 8.19/5.98 (~until2p7(s291)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23377, 23373])).
% 8.19/5.98 tff(23379,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23380,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23381,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23380, 23379])).
% 8.19/5.98 tff(23382,plain,
% 8.19/5.98 (until2p7(s291) | (~xuntil2p8(s290))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23381, 19478, 22719])).
% 8.19/5.98 tff(23383,plain,
% 8.19/5.98 (~xuntil2p8(s290)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23382, 23378])).
% 8.19/5.98 tff(23384,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23385,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s290) | xuntil2p8(s290) | (~until2p7(s290)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23386,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s290) | xuntil2p8(s290) | (~until2p7(s290))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23385, 23384])).
% 8.19/5.98 tff(23387,plain,
% 8.19/5.98 (xuntil2p8(s290) | (~until2p7(s290))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23386, 22704, 21663])).
% 8.19/5.98 tff(23388,plain,
% 8.19/5.98 (~until2p7(s290)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23387, 23383])).
% 8.19/5.98 tff(23389,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23390,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23391,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23390, 23389])).
% 8.19/5.98 tff(23392,plain,
% 8.19/5.98 (until2p7(s290) | (~xuntil2p8(s289))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23391, 19490, 22719])).
% 8.19/5.98 tff(23393,plain,
% 8.19/5.98 (~xuntil2p8(s289)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23392, 23388])).
% 8.19/5.98 tff(23394,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23395,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s289) | xuntil2p8(s289) | (~until2p7(s289)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23396,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s289) | xuntil2p8(s289) | (~until2p7(s289))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23395, 23394])).
% 8.19/5.98 tff(23397,plain,
% 8.19/5.98 (xuntil2p8(s289) | (~until2p7(s289))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23396, 22704, 21646])).
% 8.19/5.98 tff(23398,plain,
% 8.19/5.98 (~until2p7(s289)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23397, 23393])).
% 8.19/5.98 tff(23399,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23400,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23401,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23400, 23399])).
% 8.19/5.98 tff(23402,plain,
% 8.19/5.98 (until2p7(s289) | (~xuntil2p8(s288))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23401, 19502, 22719])).
% 8.19/5.98 tff(23403,plain,
% 8.19/5.98 (~xuntil2p8(s288)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23402, 23398])).
% 8.19/5.98 tff(23404,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23405,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s288) | xuntil2p8(s288) | (~until2p7(s288)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23406,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s288) | xuntil2p8(s288) | (~until2p7(s288))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23405, 23404])).
% 8.19/5.98 tff(23407,plain,
% 8.19/5.98 (xuntil2p8(s288) | (~until2p7(s288))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23406, 22704, 21629])).
% 8.19/5.98 tff(23408,plain,
% 8.19/5.98 (~until2p7(s288)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23407, 23403])).
% 8.19/5.98 tff(23409,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23410,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23411,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23410, 23409])).
% 8.19/5.98 tff(23412,plain,
% 8.19/5.98 (until2p7(s288) | (~xuntil2p8(s287))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23411, 19514, 22719])).
% 8.19/5.98 tff(23413,plain,
% 8.19/5.98 (~xuntil2p8(s287)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23412, 23408])).
% 8.19/5.98 tff(23414,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23415,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s287) | xuntil2p8(s287) | (~until2p7(s287)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23416,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s287) | xuntil2p8(s287) | (~until2p7(s287))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23415, 23414])).
% 8.19/5.98 tff(23417,plain,
% 8.19/5.98 (xuntil2p8(s287) | (~until2p7(s287))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23416, 22704, 21612])).
% 8.19/5.98 tff(23418,plain,
% 8.19/5.98 (~until2p7(s287)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23417, 23413])).
% 8.19/5.98 tff(23419,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23420,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23421,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23420, 23419])).
% 8.19/5.98 tff(23422,plain,
% 8.19/5.98 (until2p7(s287) | (~xuntil2p8(s286))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23421, 19526, 22719])).
% 8.19/5.98 tff(23423,plain,
% 8.19/5.98 (~xuntil2p8(s286)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23422, 23418])).
% 8.19/5.98 tff(23424,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23425,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s286) | xuntil2p8(s286) | (~until2p7(s286)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23426,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s286) | xuntil2p8(s286) | (~until2p7(s286))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23425, 23424])).
% 8.19/5.98 tff(23427,plain,
% 8.19/5.98 (xuntil2p8(s286) | (~until2p7(s286))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23426, 22704, 21595])).
% 8.19/5.98 tff(23428,plain,
% 8.19/5.98 (~until2p7(s286)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23427, 23423])).
% 8.19/5.98 tff(23429,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23430,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23431,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23430, 23429])).
% 8.19/5.98 tff(23432,plain,
% 8.19/5.98 (until2p7(s286) | (~xuntil2p8(s285))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23431, 19538, 22719])).
% 8.19/5.98 tff(23433,plain,
% 8.19/5.98 (~xuntil2p8(s285)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23432, 23428])).
% 8.19/5.98 tff(23434,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23435,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s285) | xuntil2p8(s285) | (~until2p7(s285)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23436,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s285) | xuntil2p8(s285) | (~until2p7(s285))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23435, 23434])).
% 8.19/5.98 tff(23437,plain,
% 8.19/5.98 (xuntil2p8(s285) | (~until2p7(s285))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23436, 22704, 21578])).
% 8.19/5.98 tff(23438,plain,
% 8.19/5.98 (~until2p7(s285)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23437, 23433])).
% 8.19/5.98 tff(23439,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23440,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23441,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23440, 23439])).
% 8.19/5.98 tff(23442,plain,
% 8.19/5.98 (until2p7(s285) | (~xuntil2p8(s284))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23441, 19550, 22719])).
% 8.19/5.98 tff(23443,plain,
% 8.19/5.98 (~xuntil2p8(s284)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23442, 23438])).
% 8.19/5.98 tff(23444,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23445,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s284) | xuntil2p8(s284) | (~until2p7(s284)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23446,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s284) | xuntil2p8(s284) | (~until2p7(s284))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23445, 23444])).
% 8.19/5.98 tff(23447,plain,
% 8.19/5.98 (xuntil2p8(s284) | (~until2p7(s284))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23446, 22704, 21561])).
% 8.19/5.98 tff(23448,plain,
% 8.19/5.98 (~until2p7(s284)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23447, 23443])).
% 8.19/5.98 tff(23449,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23450,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23451,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23450, 23449])).
% 8.19/5.98 tff(23452,plain,
% 8.19/5.98 (until2p7(s284) | (~xuntil2p8(s283))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23451, 19562, 22719])).
% 8.19/5.98 tff(23453,plain,
% 8.19/5.98 (~xuntil2p8(s283)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23452, 23448])).
% 8.19/5.98 tff(23454,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23455,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s283) | xuntil2p8(s283) | (~until2p7(s283)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23456,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s283) | xuntil2p8(s283) | (~until2p7(s283))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23455, 23454])).
% 8.19/5.98 tff(23457,plain,
% 8.19/5.98 (xuntil2p8(s283) | (~until2p7(s283))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23456, 22704, 21544])).
% 8.19/5.98 tff(23458,plain,
% 8.19/5.98 (~until2p7(s283)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23457, 23453])).
% 8.19/5.98 tff(23459,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23460,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23461,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23460, 23459])).
% 8.19/5.98 tff(23462,plain,
% 8.19/5.98 (until2p7(s283) | (~xuntil2p8(s282))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23461, 19574, 22719])).
% 8.19/5.98 tff(23463,plain,
% 8.19/5.98 (~xuntil2p8(s282)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23462, 23458])).
% 8.19/5.98 tff(23464,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23465,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s282) | xuntil2p8(s282) | (~until2p7(s282)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23466,plain,
% 8.19/5.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s282) | xuntil2p8(s282) | (~until2p7(s282))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23465, 23464])).
% 8.19/5.98 tff(23467,plain,
% 8.19/5.98 (xuntil2p8(s282) | (~until2p7(s282))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23466, 22704, 21527])).
% 8.19/5.98 tff(23468,plain,
% 8.19/5.98 (~until2p7(s282)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23467, 23463])).
% 8.19/5.98 tff(23469,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.98 tff(23470,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281)))),
% 8.19/5.98 inference(quant_inst,[status(thm)],[])).
% 8.19/5.98 tff(23471,plain,
% 8.19/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281))),
% 8.19/5.98 inference(modus_ponens,[status(thm)],[23470, 23469])).
% 8.19/5.98 tff(23472,plain,
% 8.19/5.98 (until2p7(s282) | (~xuntil2p8(s281))),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23471, 19586, 22719])).
% 8.19/5.98 tff(23473,plain,
% 8.19/5.98 (~xuntil2p8(s281)),
% 8.19/5.98 inference(unit_resolution,[status(thm)],[23472, 23468])).
% 8.19/5.98 tff(23474,plain,
% 8.19/5.98 (((~![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)))),
% 8.19/5.98 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23475,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s281) | xuntil2p8(s281) | (~until2p7(s281)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23476,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s281) | xuntil2p8(s281) | (~until2p7(s281))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23475, 23474])).
% 8.19/5.99 tff(23477,plain,
% 8.19/5.99 (xuntil2p8(s281) | (~until2p7(s281))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23476, 22704, 21510])).
% 8.19/5.99 tff(23478,plain,
% 8.19/5.99 (~until2p7(s281)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23477, 23473])).
% 8.19/5.99 tff(23479,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23480,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23481,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23480, 23479])).
% 8.19/5.99 tff(23482,plain,
% 8.19/5.99 (until2p7(s281) | (~xuntil2p8(s280))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23481, 19598, 22719])).
% 8.19/5.99 tff(23483,plain,
% 8.19/5.99 (~xuntil2p8(s280)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23482, 23478])).
% 8.19/5.99 tff(23484,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23485,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s280) | xuntil2p8(s280) | (~until2p7(s280)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23486,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s280) | xuntil2p8(s280) | (~until2p7(s280))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23485, 23484])).
% 8.19/5.99 tff(23487,plain,
% 8.19/5.99 (xuntil2p8(s280) | (~until2p7(s280))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23486, 22704, 21493])).
% 8.19/5.99 tff(23488,plain,
% 8.19/5.99 (~until2p7(s280)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23487, 23483])).
% 8.19/5.99 tff(23489,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23490,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23491,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23490, 23489])).
% 8.19/5.99 tff(23492,plain,
% 8.19/5.99 (until2p7(s280) | (~xuntil2p8(s279))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23491, 19610, 22719])).
% 8.19/5.99 tff(23493,plain,
% 8.19/5.99 (~xuntil2p8(s279)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23492, 23488])).
% 8.19/5.99 tff(23494,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23495,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s279) | xuntil2p8(s279) | (~until2p7(s279)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23496,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s279) | xuntil2p8(s279) | (~until2p7(s279))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23495, 23494])).
% 8.19/5.99 tff(23497,plain,
% 8.19/5.99 (xuntil2p8(s279) | (~until2p7(s279))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23496, 22704, 21476])).
% 8.19/5.99 tff(23498,plain,
% 8.19/5.99 (~until2p7(s279)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23497, 23493])).
% 8.19/5.99 tff(23499,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23500,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23501,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23500, 23499])).
% 8.19/5.99 tff(23502,plain,
% 8.19/5.99 (until2p7(s279) | (~xuntil2p8(s278))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23501, 19622, 22719])).
% 8.19/5.99 tff(23503,plain,
% 8.19/5.99 (~xuntil2p8(s278)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23502, 23498])).
% 8.19/5.99 tff(23504,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23505,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s278) | xuntil2p8(s278) | (~until2p7(s278)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23506,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s278) | xuntil2p8(s278) | (~until2p7(s278))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23505, 23504])).
% 8.19/5.99 tff(23507,plain,
% 8.19/5.99 (xuntil2p8(s278) | (~until2p7(s278))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23506, 22704, 21459])).
% 8.19/5.99 tff(23508,plain,
% 8.19/5.99 (~until2p7(s278)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23507, 23503])).
% 8.19/5.99 tff(23509,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23510,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23511,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23510, 23509])).
% 8.19/5.99 tff(23512,plain,
% 8.19/5.99 (until2p7(s278) | (~xuntil2p8(s277))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23511, 19634, 22719])).
% 8.19/5.99 tff(23513,plain,
% 8.19/5.99 (~xuntil2p8(s277)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23512, 23508])).
% 8.19/5.99 tff(23514,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23515,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s277) | xuntil2p8(s277) | (~until2p7(s277)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23516,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s277) | xuntil2p8(s277) | (~until2p7(s277))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23515, 23514])).
% 8.19/5.99 tff(23517,plain,
% 8.19/5.99 (xuntil2p8(s277) | (~until2p7(s277))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23516, 22704, 21442])).
% 8.19/5.99 tff(23518,plain,
% 8.19/5.99 (~until2p7(s277)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23517, 23513])).
% 8.19/5.99 tff(23519,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23520,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23521,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23520, 23519])).
% 8.19/5.99 tff(23522,plain,
% 8.19/5.99 (until2p7(s277) | (~xuntil2p8(s276))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23521, 19646, 22719])).
% 8.19/5.99 tff(23523,plain,
% 8.19/5.99 (~xuntil2p8(s276)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23522, 23518])).
% 8.19/5.99 tff(23524,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23525,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s276) | xuntil2p8(s276) | (~until2p7(s276)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23526,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s276) | xuntil2p8(s276) | (~until2p7(s276))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23525, 23524])).
% 8.19/5.99 tff(23527,plain,
% 8.19/5.99 (xuntil2p8(s276) | (~until2p7(s276))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23526, 22704, 21425])).
% 8.19/5.99 tff(23528,plain,
% 8.19/5.99 (~until2p7(s276)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23527, 23523])).
% 8.19/5.99 tff(23529,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23530,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23531,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23530, 23529])).
% 8.19/5.99 tff(23532,plain,
% 8.19/5.99 (until2p7(s276) | (~xuntil2p8(s275))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23531, 19658, 22719])).
% 8.19/5.99 tff(23533,plain,
% 8.19/5.99 (~xuntil2p8(s275)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23532, 23528])).
% 8.19/5.99 tff(23534,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23535,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s275) | xuntil2p8(s275) | (~until2p7(s275)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23536,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s275) | xuntil2p8(s275) | (~until2p7(s275))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23535, 23534])).
% 8.19/5.99 tff(23537,plain,
% 8.19/5.99 (xuntil2p8(s275) | (~until2p7(s275))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23536, 22704, 21408])).
% 8.19/5.99 tff(23538,plain,
% 8.19/5.99 (~until2p7(s275)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23537, 23533])).
% 8.19/5.99 tff(23539,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23540,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23541,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23540, 23539])).
% 8.19/5.99 tff(23542,plain,
% 8.19/5.99 (until2p7(s275) | (~xuntil2p8(s274))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23541, 19670, 22719])).
% 8.19/5.99 tff(23543,plain,
% 8.19/5.99 (~xuntil2p8(s274)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23542, 23538])).
% 8.19/5.99 tff(23544,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23545,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s274) | xuntil2p8(s274) | (~until2p7(s274)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23546,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s274) | xuntil2p8(s274) | (~until2p7(s274))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23545, 23544])).
% 8.19/5.99 tff(23547,plain,
% 8.19/5.99 (xuntil2p8(s274) | (~until2p7(s274))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23546, 22704, 21391])).
% 8.19/5.99 tff(23548,plain,
% 8.19/5.99 (~until2p7(s274)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23547, 23543])).
% 8.19/5.99 tff(23549,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23550,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23551,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23550, 23549])).
% 8.19/5.99 tff(23552,plain,
% 8.19/5.99 (until2p7(s274) | (~xuntil2p8(s273))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23551, 19682, 22719])).
% 8.19/5.99 tff(23553,plain,
% 8.19/5.99 (~xuntil2p8(s273)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23552, 23548])).
% 8.19/5.99 tff(23554,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23555,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s273) | xuntil2p8(s273) | (~until2p7(s273)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23556,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s273) | xuntil2p8(s273) | (~until2p7(s273))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23555, 23554])).
% 8.19/5.99 tff(23557,plain,
% 8.19/5.99 (xuntil2p8(s273) | (~until2p7(s273))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23556, 22704, 21374])).
% 8.19/5.99 tff(23558,plain,
% 8.19/5.99 (~until2p7(s273)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23557, 23553])).
% 8.19/5.99 tff(23559,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23560,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23561,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23560, 23559])).
% 8.19/5.99 tff(23562,plain,
% 8.19/5.99 (until2p7(s273) | (~xuntil2p8(s272))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23561, 19694, 22719])).
% 8.19/5.99 tff(23563,plain,
% 8.19/5.99 (~xuntil2p8(s272)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23562, 23558])).
% 8.19/5.99 tff(23564,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23565,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s272) | xuntil2p8(s272) | (~until2p7(s272)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23566,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s272) | xuntil2p8(s272) | (~until2p7(s272))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23565, 23564])).
% 8.19/5.99 tff(23567,plain,
% 8.19/5.99 (xuntil2p8(s272) | (~until2p7(s272))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23566, 22704, 21357])).
% 8.19/5.99 tff(23568,plain,
% 8.19/5.99 (~until2p7(s272)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23567, 23563])).
% 8.19/5.99 tff(23569,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23570,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23571,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23570, 23569])).
% 8.19/5.99 tff(23572,plain,
% 8.19/5.99 (until2p7(s272) | (~xuntil2p8(s271))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23571, 19706, 22719])).
% 8.19/5.99 tff(23573,plain,
% 8.19/5.99 (~xuntil2p8(s271)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23572, 23568])).
% 8.19/5.99 tff(23574,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23575,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s271) | xuntil2p8(s271) | (~until2p7(s271)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23576,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s271) | xuntil2p8(s271) | (~until2p7(s271))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23575, 23574])).
% 8.19/5.99 tff(23577,plain,
% 8.19/5.99 (xuntil2p8(s271) | (~until2p7(s271))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23576, 22704, 21340])).
% 8.19/5.99 tff(23578,plain,
% 8.19/5.99 (~until2p7(s271)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23577, 23573])).
% 8.19/5.99 tff(23579,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23580,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23581,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23580, 23579])).
% 8.19/5.99 tff(23582,plain,
% 8.19/5.99 (until2p7(s271) | (~xuntil2p8(s270))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23581, 19718, 22719])).
% 8.19/5.99 tff(23583,plain,
% 8.19/5.99 (~xuntil2p8(s270)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23582, 23578])).
% 8.19/5.99 tff(23584,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23585,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s270) | xuntil2p8(s270) | (~until2p7(s270)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23586,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s270) | xuntil2p8(s270) | (~until2p7(s270))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23585, 23584])).
% 8.19/5.99 tff(23587,plain,
% 8.19/5.99 (xuntil2p8(s270) | (~until2p7(s270))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23586, 22704, 21323])).
% 8.19/5.99 tff(23588,plain,
% 8.19/5.99 (~until2p7(s270)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23587, 23583])).
% 8.19/5.99 tff(23589,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23590,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23591,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23590, 23589])).
% 8.19/5.99 tff(23592,plain,
% 8.19/5.99 (until2p7(s270) | (~xuntil2p8(s269))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23591, 19730, 22719])).
% 8.19/5.99 tff(23593,plain,
% 8.19/5.99 (~xuntil2p8(s269)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23592, 23588])).
% 8.19/5.99 tff(23594,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23595,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s269) | xuntil2p8(s269) | (~until2p7(s269)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23596,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s269) | xuntil2p8(s269) | (~until2p7(s269))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23595, 23594])).
% 8.19/5.99 tff(23597,plain,
% 8.19/5.99 (xuntil2p8(s269) | (~until2p7(s269))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23596, 22704, 21306])).
% 8.19/5.99 tff(23598,plain,
% 8.19/5.99 (~until2p7(s269)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23597, 23593])).
% 8.19/5.99 tff(23599,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23600,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23601,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23600, 23599])).
% 8.19/5.99 tff(23602,plain,
% 8.19/5.99 (until2p7(s269) | (~xuntil2p8(s268))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23601, 19742, 22719])).
% 8.19/5.99 tff(23603,plain,
% 8.19/5.99 (~xuntil2p8(s268)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23602, 23598])).
% 8.19/5.99 tff(23604,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23605,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s268) | xuntil2p8(s268) | (~until2p7(s268)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23606,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s268) | xuntil2p8(s268) | (~until2p7(s268))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23605, 23604])).
% 8.19/5.99 tff(23607,plain,
% 8.19/5.99 (xuntil2p8(s268) | (~until2p7(s268))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23606, 22704, 21289])).
% 8.19/5.99 tff(23608,plain,
% 8.19/5.99 (~until2p7(s268)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23607, 23603])).
% 8.19/5.99 tff(23609,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23610,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23611,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23610, 23609])).
% 8.19/5.99 tff(23612,plain,
% 8.19/5.99 (until2p7(s268) | (~xuntil2p8(s267))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23611, 18866, 22719])).
% 8.19/5.99 tff(23613,plain,
% 8.19/5.99 (~xuntil2p8(s267)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23612, 23608])).
% 8.19/5.99 tff(23614,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23615,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s267) | xuntil2p8(s267) | (~until2p7(s267)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23616,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s267) | xuntil2p8(s267) | (~until2p7(s267))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23615, 23614])).
% 8.19/5.99 tff(23617,plain,
% 8.19/5.99 (xuntil2p8(s267) | (~until2p7(s267))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23616, 22704, 21282])).
% 8.19/5.99 tff(23618,plain,
% 8.19/5.99 (~until2p7(s267)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23617, 23613])).
% 8.19/5.99 tff(23619,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23620,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23621,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23620, 23619])).
% 8.19/5.99 tff(23622,plain,
% 8.19/5.99 (until2p7(s267) | (~xuntil2p8(s266))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23621, 18771, 22719])).
% 8.19/5.99 tff(23623,plain,
% 8.19/5.99 (~xuntil2p8(s266)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23622, 23618])).
% 8.19/5.99 tff(23624,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23625,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s266) | xuntil2p8(s266) | (~until2p7(s266)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23626,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s266) | xuntil2p8(s266) | (~until2p7(s266))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23625, 23624])).
% 8.19/5.99 tff(23627,plain,
% 8.19/5.99 (xuntil2p8(s266) | (~until2p7(s266))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23626, 22704, 21278])).
% 8.19/5.99 tff(23628,plain,
% 8.19/5.99 (~until2p7(s266)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23627, 23623])).
% 8.19/5.99 tff(23629,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23630,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23631,plain,
% 8.19/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23630, 23629])).
% 8.19/5.99 tff(23632,plain,
% 8.19/5.99 (until2p7(s266) | (~xuntil2p8(s265))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23631, 17863, 22719])).
% 8.19/5.99 tff(23633,plain,
% 8.19/5.99 (~xuntil2p8(s265)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23632, 23628])).
% 8.19/5.99 tff(23634,plain,
% 8.19/5.99 (((~![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)))),
% 8.19/5.99 inference(rewrite,[status(thm)],[])).
% 8.19/5.99 tff(23635,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s265) | xuntil2p8(s265) | (~until2p7(s265)))),
% 8.19/5.99 inference(quant_inst,[status(thm)],[])).
% 8.19/5.99 tff(23636,plain,
% 8.19/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s265) | xuntil2p8(s265) | (~until2p7(s265))),
% 8.19/5.99 inference(modus_ponens,[status(thm)],[23635, 23634])).
% 8.19/5.99 tff(23637,plain,
% 8.19/5.99 (xuntil2p8(s265) | (~until2p7(s265))),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23636, 22704, 21274])).
% 8.19/5.99 tff(23638,plain,
% 8.19/5.99 (~until2p7(s265)),
% 8.19/5.99 inference(unit_resolution,[status(thm)],[23637, 23633])).
% 8.19/5.99 tff(23639,plain,
% 8.19/5.99 (((~![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)))),
% 8.22/5.99 inference(rewrite,[status(thm)],[])).
% 8.22/5.99 tff(23640,plain,
% 8.22/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264)))),
% 8.22/5.99 inference(quant_inst,[status(thm)],[])).
% 8.22/5.99 tff(23641,plain,
% 8.22/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264))),
% 8.22/5.99 inference(modus_ponens,[status(thm)],[23640, 23639])).
% 8.22/5.99 tff(23642,plain,
% 8.22/5.99 (until2p7(s265) | (~xuntil2p8(s264))),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23641, 17814, 22719])).
% 8.22/5.99 tff(23643,plain,
% 8.22/5.99 (~xuntil2p8(s264)),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23642, 23638])).
% 8.22/5.99 tff(23644,plain,
% 8.22/5.99 (((~![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)))),
% 8.22/5.99 inference(rewrite,[status(thm)],[])).
% 8.22/5.99 tff(23645,plain,
% 8.22/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s264) | xuntil2p8(s264) | (~until2p7(s264)))),
% 8.22/5.99 inference(quant_inst,[status(thm)],[])).
% 8.22/5.99 tff(23646,plain,
% 8.22/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s264) | xuntil2p8(s264) | (~until2p7(s264))),
% 8.22/5.99 inference(modus_ponens,[status(thm)],[23645, 23644])).
% 8.22/5.99 tff(23647,plain,
% 8.22/5.99 (xuntil2p8(s264) | (~until2p7(s264))),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23646, 22704, 21270])).
% 8.22/5.99 tff(23648,plain,
% 8.22/5.99 (~until2p7(s264)),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23647, 23643])).
% 8.22/5.99 tff(23649,plain,
% 8.22/5.99 (((~![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)))),
% 8.22/5.99 inference(rewrite,[status(thm)],[])).
% 8.22/5.99 tff(23650,plain,
% 8.22/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263)))),
% 8.22/5.99 inference(quant_inst,[status(thm)],[])).
% 8.22/5.99 tff(23651,plain,
% 8.22/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263))),
% 8.22/5.99 inference(modus_ponens,[status(thm)],[23650, 23649])).
% 8.22/5.99 tff(23652,plain,
% 8.22/5.99 (until2p7(s264) | (~xuntil2p8(s263))),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23651, 17758, 22719])).
% 8.22/5.99 tff(23653,plain,
% 8.22/5.99 (~xuntil2p8(s263)),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23652, 23648])).
% 8.22/5.99 tff(23654,plain,
% 8.22/5.99 (((~![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)))),
% 8.22/5.99 inference(rewrite,[status(thm)],[])).
% 8.22/5.99 tff(23655,plain,
% 8.22/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s263) | xuntil2p8(s263) | (~until2p7(s263)))),
% 8.22/5.99 inference(quant_inst,[status(thm)],[])).
% 8.22/5.99 tff(23656,plain,
% 8.22/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s263) | xuntil2p8(s263) | (~until2p7(s263))),
% 8.22/5.99 inference(modus_ponens,[status(thm)],[23655, 23654])).
% 8.22/5.99 tff(23657,plain,
% 8.22/5.99 (xuntil2p8(s263) | (~until2p7(s263))),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23656, 22704, 21266])).
% 8.22/5.99 tff(23658,plain,
% 8.22/5.99 (~until2p7(s263)),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23657, 23653])).
% 8.22/5.99 tff(23659,plain,
% 8.22/5.99 (((~![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)))),
% 8.22/5.99 inference(rewrite,[status(thm)],[])).
% 8.22/5.99 tff(23660,plain,
% 8.22/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262)))),
% 8.22/5.99 inference(quant_inst,[status(thm)],[])).
% 8.22/5.99 tff(23661,plain,
% 8.22/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262))),
% 8.22/5.99 inference(modus_ponens,[status(thm)],[23660, 23659])).
% 8.22/5.99 tff(23662,plain,
% 8.22/5.99 (until2p7(s263) | (~xuntil2p8(s262))),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23661, 17702, 22719])).
% 8.22/5.99 tff(23663,plain,
% 8.22/5.99 (~xuntil2p8(s262)),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23662, 23658])).
% 8.22/5.99 tff(23664,plain,
% 8.22/5.99 (((~![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)))),
% 8.22/5.99 inference(rewrite,[status(thm)],[])).
% 8.22/5.99 tff(23665,plain,
% 8.22/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s262) | xuntil2p8(s262) | (~until2p7(s262)))),
% 8.22/5.99 inference(quant_inst,[status(thm)],[])).
% 8.22/5.99 tff(23666,plain,
% 8.22/5.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s262) | xuntil2p8(s262) | (~until2p7(s262))),
% 8.22/5.99 inference(modus_ponens,[status(thm)],[23665, 23664])).
% 8.22/5.99 tff(23667,plain,
% 8.22/5.99 (xuntil2p8(s262) | (~until2p7(s262))),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23666, 22704, 21262])).
% 8.22/5.99 tff(23668,plain,
% 8.22/5.99 (~until2p7(s262)),
% 8.22/5.99 inference(unit_resolution,[status(thm)],[23667, 23663])).
% 8.22/5.99 tff(23669,plain,
% 8.22/5.99 (((~![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)))),
% 8.22/5.99 inference(rewrite,[status(thm)],[])).
% 8.22/5.99 tff(23670,plain,
% 8.22/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261)))),
% 8.22/5.99 inference(quant_inst,[status(thm)],[])).
% 8.22/5.99 tff(23671,plain,
% 8.22/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23670, 23669])).
% 8.22/6.00 tff(23672,plain,
% 8.22/6.00 (until2p7(s262) | (~xuntil2p8(s261))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23671, 17646, 22719])).
% 8.22/6.00 tff(23673,plain,
% 8.22/6.00 (~xuntil2p8(s261)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23672, 23668])).
% 8.22/6.00 tff(23674,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23675,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s261) | xuntil2p8(s261) | (~until2p7(s261)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23676,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s261) | xuntil2p8(s261) | (~until2p7(s261))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23675, 23674])).
% 8.22/6.00 tff(23677,plain,
% 8.22/6.00 (xuntil2p8(s261) | (~until2p7(s261))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23676, 22704, 21258])).
% 8.22/6.00 tff(23678,plain,
% 8.22/6.00 (~until2p7(s261)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23677, 23673])).
% 8.22/6.00 tff(23679,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23680,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23681,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23680, 23679])).
% 8.22/6.00 tff(23682,plain,
% 8.22/6.00 (until2p7(s261) | (~xuntil2p8(s260))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23681, 17590, 22719])).
% 8.22/6.00 tff(23683,plain,
% 8.22/6.00 (~xuntil2p8(s260)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23682, 23678])).
% 8.22/6.00 tff(23684,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23685,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s260) | xuntil2p8(s260) | (~until2p7(s260)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23686,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s260) | xuntil2p8(s260) | (~until2p7(s260))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23685, 23684])).
% 8.22/6.00 tff(23687,plain,
% 8.22/6.00 (xuntil2p8(s260) | (~until2p7(s260))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23686, 22704, 21254])).
% 8.22/6.00 tff(23688,plain,
% 8.22/6.00 (~until2p7(s260)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23687, 23683])).
% 8.22/6.00 tff(23689,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23690,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23691,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23690, 23689])).
% 8.22/6.00 tff(23692,plain,
% 8.22/6.00 (until2p7(s260) | (~xuntil2p8(s259))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23691, 17534, 22719])).
% 8.22/6.00 tff(23693,plain,
% 8.22/6.00 (~xuntil2p8(s259)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23692, 23688])).
% 8.22/6.00 tff(23694,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23695,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s259) | xuntil2p8(s259) | (~until2p7(s259)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23696,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s259) | xuntil2p8(s259) | (~until2p7(s259))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23695, 23694])).
% 8.22/6.00 tff(23697,plain,
% 8.22/6.00 (xuntil2p8(s259) | (~until2p7(s259))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23696, 22704, 21250])).
% 8.22/6.00 tff(23698,plain,
% 8.22/6.00 (~until2p7(s259)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23697, 23693])).
% 8.22/6.00 tff(23699,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23700,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23701,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23700, 23699])).
% 8.22/6.00 tff(23702,plain,
% 8.22/6.00 (until2p7(s259) | (~xuntil2p8(s258))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23701, 17478, 22719])).
% 8.22/6.00 tff(23703,plain,
% 8.22/6.00 (~xuntil2p8(s258)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23702, 23698])).
% 8.22/6.00 tff(23704,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23705,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s258) | xuntil2p8(s258) | (~until2p7(s258)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23706,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s258) | xuntil2p8(s258) | (~until2p7(s258))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23705, 23704])).
% 8.22/6.00 tff(23707,plain,
% 8.22/6.00 (xuntil2p8(s258) | (~until2p7(s258))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23706, 22704, 21246])).
% 8.22/6.00 tff(23708,plain,
% 8.22/6.00 (~until2p7(s258)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23707, 23703])).
% 8.22/6.00 tff(23709,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23710,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23711,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23710, 23709])).
% 8.22/6.00 tff(23712,plain,
% 8.22/6.00 (until2p7(s258) | (~xuntil2p8(s257))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23711, 17422, 22719])).
% 8.22/6.00 tff(23713,plain,
% 8.22/6.00 (~xuntil2p8(s257)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23712, 23708])).
% 8.22/6.00 tff(23714,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23715,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s257) | xuntil2p8(s257) | (~until2p7(s257)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23716,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s257) | xuntil2p8(s257) | (~until2p7(s257))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23715, 23714])).
% 8.22/6.00 tff(23717,plain,
% 8.22/6.00 (xuntil2p8(s257) | (~until2p7(s257))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23716, 22704, 21242])).
% 8.22/6.00 tff(23718,plain,
% 8.22/6.00 (~until2p7(s257)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23717, 23713])).
% 8.22/6.00 tff(23719,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23720,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23721,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23720, 23719])).
% 8.22/6.00 tff(23722,plain,
% 8.22/6.00 (until2p7(s257) | (~xuntil2p8(s256))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23721, 17366, 22719])).
% 8.22/6.00 tff(23723,plain,
% 8.22/6.00 (~xuntil2p8(s256)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23722, 23718])).
% 8.22/6.00 tff(23724,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23725,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s256) | xuntil2p8(s256) | (~until2p7(s256)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23726,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s256) | xuntil2p8(s256) | (~until2p7(s256))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23725, 23724])).
% 8.22/6.00 tff(23727,plain,
% 8.22/6.00 (xuntil2p8(s256) | (~until2p7(s256))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23726, 22704, 21238])).
% 8.22/6.00 tff(23728,plain,
% 8.22/6.00 (~until2p7(s256)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23727, 23723])).
% 8.22/6.00 tff(23729,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23730,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23731,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23730, 23729])).
% 8.22/6.00 tff(23732,plain,
% 8.22/6.00 (until2p7(s256) | (~xuntil2p8(s255))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23731, 17310, 22719])).
% 8.22/6.00 tff(23733,plain,
% 8.22/6.00 (~xuntil2p8(s255)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23732, 23728])).
% 8.22/6.00 tff(23734,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23735,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s255) | xuntil2p8(s255) | (~until2p7(s255)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23736,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s255) | xuntil2p8(s255) | (~until2p7(s255))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23735, 23734])).
% 8.22/6.00 tff(23737,plain,
% 8.22/6.00 (xuntil2p8(s255) | (~until2p7(s255))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23736, 22704, 21234])).
% 8.22/6.00 tff(23738,plain,
% 8.22/6.00 (~until2p7(s255)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23737, 23733])).
% 8.22/6.00 tff(23739,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23740,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23741,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23740, 23739])).
% 8.22/6.00 tff(23742,plain,
% 8.22/6.00 (until2p7(s255) | (~xuntil2p8(s254))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23741, 17254, 22719])).
% 8.22/6.00 tff(23743,plain,
% 8.22/6.00 (~xuntil2p8(s254)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23742, 23738])).
% 8.22/6.00 tff(23744,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23745,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s254) | xuntil2p8(s254) | (~until2p7(s254)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23746,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s254) | xuntil2p8(s254) | (~until2p7(s254))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23745, 23744])).
% 8.22/6.00 tff(23747,plain,
% 8.22/6.00 (xuntil2p8(s254) | (~until2p7(s254))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23746, 22704, 21230])).
% 8.22/6.00 tff(23748,plain,
% 8.22/6.00 (~until2p7(s254)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23747, 23743])).
% 8.22/6.00 tff(23749,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23750,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23751,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23750, 23749])).
% 8.22/6.00 tff(23752,plain,
% 8.22/6.00 (until2p7(s254) | (~xuntil2p8(s253))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23751, 17198, 22719])).
% 8.22/6.00 tff(23753,plain,
% 8.22/6.00 (~xuntil2p8(s253)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23752, 23748])).
% 8.22/6.00 tff(23754,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23755,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s253) | xuntil2p8(s253) | (~until2p7(s253)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23756,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s253) | xuntil2p8(s253) | (~until2p7(s253))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23755, 23754])).
% 8.22/6.00 tff(23757,plain,
% 8.22/6.00 (xuntil2p8(s253) | (~until2p7(s253))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23756, 22704, 21226])).
% 8.22/6.00 tff(23758,plain,
% 8.22/6.00 (~until2p7(s253)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23757, 23753])).
% 8.22/6.00 tff(23759,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23760,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23761,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23760, 23759])).
% 8.22/6.00 tff(23762,plain,
% 8.22/6.00 (until2p7(s253) | (~xuntil2p8(s252))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23761, 17142, 22719])).
% 8.22/6.00 tff(23763,plain,
% 8.22/6.00 (~xuntil2p8(s252)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23762, 23758])).
% 8.22/6.00 tff(23764,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23765,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s252) | xuntil2p8(s252) | (~until2p7(s252)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23766,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s252) | xuntil2p8(s252) | (~until2p7(s252))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23765, 23764])).
% 8.22/6.00 tff(23767,plain,
% 8.22/6.00 (xuntil2p8(s252) | (~until2p7(s252))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23766, 22704, 21222])).
% 8.22/6.00 tff(23768,plain,
% 8.22/6.00 (~until2p7(s252)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23767, 23763])).
% 8.22/6.00 tff(23769,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23770,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23771,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23770, 23769])).
% 8.22/6.00 tff(23772,plain,
% 8.22/6.00 (until2p7(s252) | (~xuntil2p8(s251))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23771, 17086, 22719])).
% 8.22/6.00 tff(23773,plain,
% 8.22/6.00 (~xuntil2p8(s251)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23772, 23768])).
% 8.22/6.00 tff(23774,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23775,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s251) | xuntil2p8(s251) | (~until2p7(s251)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23776,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s251) | xuntil2p8(s251) | (~until2p7(s251))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23775, 23774])).
% 8.22/6.00 tff(23777,plain,
% 8.22/6.00 (xuntil2p8(s251) | (~until2p7(s251))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23776, 22704, 21218])).
% 8.22/6.00 tff(23778,plain,
% 8.22/6.00 (~until2p7(s251)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23777, 23773])).
% 8.22/6.00 tff(23779,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23780,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23781,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23780, 23779])).
% 8.22/6.00 tff(23782,plain,
% 8.22/6.00 (until2p7(s251) | (~xuntil2p8(s250))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23781, 17030, 22719])).
% 8.22/6.00 tff(23783,plain,
% 8.22/6.00 (~xuntil2p8(s250)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23782, 23778])).
% 8.22/6.00 tff(23784,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23785,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s250) | xuntil2p8(s250) | (~until2p7(s250)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23786,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s250) | xuntil2p8(s250) | (~until2p7(s250))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23785, 23784])).
% 8.22/6.00 tff(23787,plain,
% 8.22/6.00 (xuntil2p8(s250) | (~until2p7(s250))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23786, 22704, 21214])).
% 8.22/6.00 tff(23788,plain,
% 8.22/6.00 (~until2p7(s250)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23787, 23783])).
% 8.22/6.00 tff(23789,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23790,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23791,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23790, 23789])).
% 8.22/6.00 tff(23792,plain,
% 8.22/6.00 (until2p7(s250) | (~xuntil2p8(s249))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23791, 16974, 22719])).
% 8.22/6.00 tff(23793,plain,
% 8.22/6.00 (~xuntil2p8(s249)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23792, 23788])).
% 8.22/6.00 tff(23794,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23795,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s249) | xuntil2p8(s249) | (~until2p7(s249)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23796,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s249) | xuntil2p8(s249) | (~until2p7(s249))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23795, 23794])).
% 8.22/6.00 tff(23797,plain,
% 8.22/6.00 (xuntil2p8(s249) | (~until2p7(s249))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23796, 22704, 21210])).
% 8.22/6.00 tff(23798,plain,
% 8.22/6.00 (~until2p7(s249)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23797, 23793])).
% 8.22/6.00 tff(23799,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23800,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23801,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23800, 23799])).
% 8.22/6.00 tff(23802,plain,
% 8.22/6.00 (until2p7(s249) | (~xuntil2p8(s248))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23801, 16918, 22719])).
% 8.22/6.00 tff(23803,plain,
% 8.22/6.00 (~xuntil2p8(s248)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23802, 23798])).
% 8.22/6.00 tff(23804,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23805,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s248) | xuntil2p8(s248) | (~until2p7(s248)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23806,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s248) | xuntil2p8(s248) | (~until2p7(s248))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23805, 23804])).
% 8.22/6.00 tff(23807,plain,
% 8.22/6.00 (xuntil2p8(s248) | (~until2p7(s248))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23806, 22704, 21206])).
% 8.22/6.00 tff(23808,plain,
% 8.22/6.00 (~until2p7(s248)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23807, 23803])).
% 8.22/6.00 tff(23809,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23810,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23811,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23810, 23809])).
% 8.22/6.00 tff(23812,plain,
% 8.22/6.00 (until2p7(s248) | (~xuntil2p8(s247))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23811, 16765, 22719])).
% 8.22/6.00 tff(23813,plain,
% 8.22/6.00 (~xuntil2p8(s247)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23812, 23808])).
% 8.22/6.00 tff(23814,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23815,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s247) | xuntil2p8(s247) | (~until2p7(s247)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23816,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s247) | xuntil2p8(s247) | (~until2p7(s247))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23815, 23814])).
% 8.22/6.00 tff(23817,plain,
% 8.22/6.00 (xuntil2p8(s247) | (~until2p7(s247))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23816, 22704, 21202])).
% 8.22/6.00 tff(23818,plain,
% 8.22/6.00 (~until2p7(s247)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23817, 23813])).
% 8.22/6.00 tff(23819,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23820,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23821,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23820, 23819])).
% 8.22/6.00 tff(23822,plain,
% 8.22/6.00 (until2p7(s247) | (~xuntil2p8(s246))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23821, 16709, 22719])).
% 8.22/6.00 tff(23823,plain,
% 8.22/6.00 (~xuntil2p8(s246)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23822, 23818])).
% 8.22/6.00 tff(23824,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23825,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s246) | xuntil2p8(s246) | (~until2p7(s246)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23826,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s246) | xuntil2p8(s246) | (~until2p7(s246))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23825, 23824])).
% 8.22/6.00 tff(23827,plain,
% 8.22/6.00 (xuntil2p8(s246) | (~until2p7(s246))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23826, 22704, 21198])).
% 8.22/6.00 tff(23828,plain,
% 8.22/6.00 (~until2p7(s246)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23827, 23823])).
% 8.22/6.00 tff(23829,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23830,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23831,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23830, 23829])).
% 8.22/6.00 tff(23832,plain,
% 8.22/6.00 (until2p7(s246) | (~xuntil2p8(s245))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23831, 16653, 22719])).
% 8.22/6.00 tff(23833,plain,
% 8.22/6.00 (~xuntil2p8(s245)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23832, 23828])).
% 8.22/6.00 tff(23834,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23835,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s245) | xuntil2p8(s245) | (~until2p7(s245)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23836,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s245) | xuntil2p8(s245) | (~until2p7(s245))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23835, 23834])).
% 8.22/6.00 tff(23837,plain,
% 8.22/6.00 (xuntil2p8(s245) | (~until2p7(s245))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23836, 22704, 21194])).
% 8.22/6.00 tff(23838,plain,
% 8.22/6.00 (~until2p7(s245)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23837, 23833])).
% 8.22/6.00 tff(23839,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23840,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23841,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23840, 23839])).
% 8.22/6.00 tff(23842,plain,
% 8.22/6.00 (until2p7(s245) | (~xuntil2p8(s244))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23841, 16597, 22719])).
% 8.22/6.00 tff(23843,plain,
% 8.22/6.00 (~xuntil2p8(s244)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23842, 23838])).
% 8.22/6.00 tff(23844,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23845,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s244) | xuntil2p8(s244) | (~until2p7(s244)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23846,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s244) | xuntil2p8(s244) | (~until2p7(s244))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23845, 23844])).
% 8.22/6.00 tff(23847,plain,
% 8.22/6.00 (xuntil2p8(s244) | (~until2p7(s244))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23846, 22704, 21190])).
% 8.22/6.00 tff(23848,plain,
% 8.22/6.00 (~until2p7(s244)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23847, 23843])).
% 8.22/6.00 tff(23849,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23850,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23851,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23850, 23849])).
% 8.22/6.00 tff(23852,plain,
% 8.22/6.00 (until2p7(s244) | (~xuntil2p8(s243))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23851, 16541, 22719])).
% 8.22/6.00 tff(23853,plain,
% 8.22/6.00 (~xuntil2p8(s243)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23852, 23848])).
% 8.22/6.00 tff(23854,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23855,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s243) | xuntil2p8(s243) | (~until2p7(s243)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23856,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s243) | xuntil2p8(s243) | (~until2p7(s243))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23855, 23854])).
% 8.22/6.00 tff(23857,plain,
% 8.22/6.00 (xuntil2p8(s243) | (~until2p7(s243))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23856, 22704, 21186])).
% 8.22/6.00 tff(23858,plain,
% 8.22/6.00 (~until2p7(s243)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23857, 23853])).
% 8.22/6.00 tff(23859,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23860,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23861,plain,
% 8.22/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23860, 23859])).
% 8.22/6.00 tff(23862,plain,
% 8.22/6.00 (until2p7(s243) | (~xuntil2p8(s242))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23861, 16485, 22719])).
% 8.22/6.00 tff(23863,plain,
% 8.22/6.00 (~xuntil2p8(s242)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23862, 23858])).
% 8.22/6.00 tff(23864,plain,
% 8.22/6.00 (((~![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)))),
% 8.22/6.00 inference(rewrite,[status(thm)],[])).
% 8.22/6.00 tff(23865,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s242) | xuntil2p8(s242) | (~until2p7(s242)))),
% 8.22/6.00 inference(quant_inst,[status(thm)],[])).
% 8.22/6.00 tff(23866,plain,
% 8.22/6.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s242) | xuntil2p8(s242) | (~until2p7(s242))),
% 8.22/6.00 inference(modus_ponens,[status(thm)],[23865, 23864])).
% 8.22/6.00 tff(23867,plain,
% 8.22/6.00 (xuntil2p8(s242) | (~until2p7(s242))),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23866, 22704, 21182])).
% 8.22/6.00 tff(23868,plain,
% 8.22/6.00 (~until2p7(s242)),
% 8.22/6.00 inference(unit_resolution,[status(thm)],[23867, 23863])).
% 8.22/6.01 tff(23869,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23870,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23871,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23870, 23869])).
% 8.22/6.01 tff(23872,plain,
% 8.22/6.01 (until2p7(s242) | (~xuntil2p8(s241))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23871, 16429, 22719])).
% 8.22/6.01 tff(23873,plain,
% 8.22/6.01 (~xuntil2p8(s241)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23872, 23868])).
% 8.22/6.01 tff(23874,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23875,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s241) | xuntil2p8(s241) | (~until2p7(s241)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23876,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s241) | xuntil2p8(s241) | (~until2p7(s241))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23875, 23874])).
% 8.22/6.01 tff(23877,plain,
% 8.22/6.01 (xuntil2p8(s241) | (~until2p7(s241))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23876, 22704, 21178])).
% 8.22/6.01 tff(23878,plain,
% 8.22/6.01 (~until2p7(s241)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23877, 23873])).
% 8.22/6.01 tff(23879,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23880,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23881,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23880, 23879])).
% 8.22/6.01 tff(23882,plain,
% 8.22/6.01 (until2p7(s241) | (~xuntil2p8(s240))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23881, 16373, 22719])).
% 8.22/6.01 tff(23883,plain,
% 8.22/6.01 (~xuntil2p8(s240)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23882, 23878])).
% 8.22/6.01 tff(23884,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23885,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s240) | xuntil2p8(s240) | (~until2p7(s240)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23886,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s240) | xuntil2p8(s240) | (~until2p7(s240))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23885, 23884])).
% 8.22/6.01 tff(23887,plain,
% 8.22/6.01 (xuntil2p8(s240) | (~until2p7(s240))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23886, 22704, 21174])).
% 8.22/6.01 tff(23888,plain,
% 8.22/6.01 (~until2p7(s240)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23887, 23883])).
% 8.22/6.01 tff(23889,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23890,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23891,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23890, 23889])).
% 8.22/6.01 tff(23892,plain,
% 8.22/6.01 (until2p7(s240) | (~xuntil2p8(s239))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23891, 16317, 22719])).
% 8.22/6.01 tff(23893,plain,
% 8.22/6.01 (~xuntil2p8(s239)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23892, 23888])).
% 8.22/6.01 tff(23894,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23895,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s239) | xuntil2p8(s239) | (~until2p7(s239)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23896,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s239) | xuntil2p8(s239) | (~until2p7(s239))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23895, 23894])).
% 8.22/6.01 tff(23897,plain,
% 8.22/6.01 (xuntil2p8(s239) | (~until2p7(s239))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23896, 22704, 21170])).
% 8.22/6.01 tff(23898,plain,
% 8.22/6.01 (~until2p7(s239)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23897, 23893])).
% 8.22/6.01 tff(23899,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23900,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23901,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23900, 23899])).
% 8.22/6.01 tff(23902,plain,
% 8.22/6.01 (until2p7(s239) | (~xuntil2p8(s238))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23901, 16261, 22719])).
% 8.22/6.01 tff(23903,plain,
% 8.22/6.01 (~xuntil2p8(s238)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23902, 23898])).
% 8.22/6.01 tff(23904,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23905,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s238) | xuntil2p8(s238) | (~until2p7(s238)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23906,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s238) | xuntil2p8(s238) | (~until2p7(s238))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23905, 23904])).
% 8.22/6.01 tff(23907,plain,
% 8.22/6.01 (xuntil2p8(s238) | (~until2p7(s238))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23906, 22704, 21166])).
% 8.22/6.01 tff(23908,plain,
% 8.22/6.01 (~until2p7(s238)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23907, 23903])).
% 8.22/6.01 tff(23909,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23910,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23911,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23910, 23909])).
% 8.22/6.01 tff(23912,plain,
% 8.22/6.01 (until2p7(s238) | (~xuntil2p8(s237))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23911, 16142, 22719])).
% 8.22/6.01 tff(23913,plain,
% 8.22/6.01 (~xuntil2p8(s237)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23912, 23908])).
% 8.22/6.01 tff(23914,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23915,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s237) | xuntil2p8(s237) | (~until2p7(s237)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23916,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s237) | xuntil2p8(s237) | (~until2p7(s237))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23915, 23914])).
% 8.22/6.01 tff(23917,plain,
% 8.22/6.01 (xuntil2p8(s237) | (~until2p7(s237))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23916, 22704, 21162])).
% 8.22/6.01 tff(23918,plain,
% 8.22/6.01 (~until2p7(s237)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23917, 23913])).
% 8.22/6.01 tff(23919,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23920,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23921,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23920, 23919])).
% 8.22/6.01 tff(23922,plain,
% 8.22/6.01 (until2p7(s237) | (~xuntil2p8(s236))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23921, 16086, 22719])).
% 8.22/6.01 tff(23923,plain,
% 8.22/6.01 (~xuntil2p8(s236)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23922, 23918])).
% 8.22/6.01 tff(23924,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23925,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s236) | xuntil2p8(s236) | (~until2p7(s236)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23926,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s236) | xuntil2p8(s236) | (~until2p7(s236))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23925, 23924])).
% 8.22/6.01 tff(23927,plain,
% 8.22/6.01 (xuntil2p8(s236) | (~until2p7(s236))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23926, 22704, 21158])).
% 8.22/6.01 tff(23928,plain,
% 8.22/6.01 (~until2p7(s236)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23927, 23923])).
% 8.22/6.01 tff(23929,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23930,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23931,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23930, 23929])).
% 8.22/6.01 tff(23932,plain,
% 8.22/6.01 (until2p7(s236) | (~xuntil2p8(s235))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23931, 16030, 22719])).
% 8.22/6.01 tff(23933,plain,
% 8.22/6.01 (~xuntil2p8(s235)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23932, 23928])).
% 8.22/6.01 tff(23934,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23935,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s235) | xuntil2p8(s235) | (~until2p7(s235)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23936,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s235) | xuntil2p8(s235) | (~until2p7(s235))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23935, 23934])).
% 8.22/6.01 tff(23937,plain,
% 8.22/6.01 (xuntil2p8(s235) | (~until2p7(s235))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23936, 22704, 21154])).
% 8.22/6.01 tff(23938,plain,
% 8.22/6.01 (~until2p7(s235)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23937, 23933])).
% 8.22/6.01 tff(23939,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23940,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23941,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23940, 23939])).
% 8.22/6.01 tff(23942,plain,
% 8.22/6.01 (until2p7(s235) | (~xuntil2p8(s234))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23941, 15974, 22719])).
% 8.22/6.01 tff(23943,plain,
% 8.22/6.01 (~xuntil2p8(s234)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23942, 23938])).
% 8.22/6.01 tff(23944,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23945,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s234) | xuntil2p8(s234) | (~until2p7(s234)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23946,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s234) | xuntil2p8(s234) | (~until2p7(s234))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23945, 23944])).
% 8.22/6.01 tff(23947,plain,
% 8.22/6.01 (xuntil2p8(s234) | (~until2p7(s234))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23946, 22704, 21150])).
% 8.22/6.01 tff(23948,plain,
% 8.22/6.01 (~until2p7(s234)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23947, 23943])).
% 8.22/6.01 tff(23949,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23950,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23951,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23950, 23949])).
% 8.22/6.01 tff(23952,plain,
% 8.22/6.01 (until2p7(s234) | (~xuntil2p8(s233))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23951, 15918, 22719])).
% 8.22/6.01 tff(23953,plain,
% 8.22/6.01 (~xuntil2p8(s233)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23952, 23948])).
% 8.22/6.01 tff(23954,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23955,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s233) | xuntil2p8(s233) | (~until2p7(s233)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23956,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s233) | xuntil2p8(s233) | (~until2p7(s233))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23955, 23954])).
% 8.22/6.01 tff(23957,plain,
% 8.22/6.01 (xuntil2p8(s233) | (~until2p7(s233))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23956, 22704, 21146])).
% 8.22/6.01 tff(23958,plain,
% 8.22/6.01 (~until2p7(s233)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23957, 23953])).
% 8.22/6.01 tff(23959,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23960,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23961,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23960, 23959])).
% 8.22/6.01 tff(23962,plain,
% 8.22/6.01 (until2p7(s233) | (~xuntil2p8(s232))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23961, 15751, 22719])).
% 8.22/6.01 tff(23963,plain,
% 8.22/6.01 (~xuntil2p8(s232)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23962, 23958])).
% 8.22/6.01 tff(23964,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23965,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s232) | xuntil2p8(s232) | (~until2p7(s232)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23966,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s232) | xuntil2p8(s232) | (~until2p7(s232))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23965, 23964])).
% 8.22/6.01 tff(23967,plain,
% 8.22/6.01 (xuntil2p8(s232) | (~until2p7(s232))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23966, 22704, 21142])).
% 8.22/6.01 tff(23968,plain,
% 8.22/6.01 (~until2p7(s232)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23967, 23963])).
% 8.22/6.01 tff(23969,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23970,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23971,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23970, 23969])).
% 8.22/6.01 tff(23972,plain,
% 8.22/6.01 (until2p7(s232) | (~xuntil2p8(s231))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23971, 15542, 22719])).
% 8.22/6.01 tff(23973,plain,
% 8.22/6.01 (~xuntil2p8(s231)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23972, 23968])).
% 8.22/6.01 tff(23974,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23975,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s231) | xuntil2p8(s231) | (~until2p7(s231)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23976,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s231) | xuntil2p8(s231) | (~until2p7(s231))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23975, 23974])).
% 8.22/6.01 tff(23977,plain,
% 8.22/6.01 (xuntil2p8(s231) | (~until2p7(s231))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23976, 22704, 21138])).
% 8.22/6.01 tff(23978,plain,
% 8.22/6.01 (~until2p7(s231)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23977, 23973])).
% 8.22/6.01 tff(23979,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23980,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23981,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23980, 23979])).
% 8.22/6.01 tff(23982,plain,
% 8.22/6.01 (until2p7(s231) | (~xuntil2p8(s230))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23981, 15554, 22719])).
% 8.22/6.01 tff(23983,plain,
% 8.22/6.01 (~xuntil2p8(s230)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23982, 23978])).
% 8.22/6.01 tff(23984,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23985,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s230) | xuntil2p8(s230) | (~until2p7(s230)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23986,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s230) | xuntil2p8(s230) | (~until2p7(s230))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23985, 23984])).
% 8.22/6.01 tff(23987,plain,
% 8.22/6.01 (xuntil2p8(s230) | (~until2p7(s230))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23986, 22704, 21134])).
% 8.22/6.01 tff(23988,plain,
% 8.22/6.01 (~until2p7(s230)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23987, 23983])).
% 8.22/6.01 tff(23989,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23990,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23991,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23990, 23989])).
% 8.22/6.01 tff(23992,plain,
% 8.22/6.01 (until2p7(s230) | (~xuntil2p8(s229))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23991, 15566, 22719])).
% 8.22/6.01 tff(23993,plain,
% 8.22/6.01 (~xuntil2p8(s229)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23992, 23988])).
% 8.22/6.01 tff(23994,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(23995,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s229) | xuntil2p8(s229) | (~until2p7(s229)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(23996,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s229) | xuntil2p8(s229) | (~until2p7(s229))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[23995, 23994])).
% 8.22/6.01 tff(23997,plain,
% 8.22/6.01 (xuntil2p8(s229) | (~until2p7(s229))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23996, 22704, 21130])).
% 8.22/6.01 tff(23998,plain,
% 8.22/6.01 (~until2p7(s229)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[23997, 23993])).
% 8.22/6.01 tff(23999,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24000,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24001,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24000, 23999])).
% 8.22/6.01 tff(24002,plain,
% 8.22/6.01 (until2p7(s229) | (~xuntil2p8(s228))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24001, 15702, 22719])).
% 8.22/6.01 tff(24003,plain,
% 8.22/6.01 (~xuntil2p8(s228)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24002, 23998])).
% 8.22/6.01 tff(24004,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24005,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s228) | xuntil2p8(s228) | (~until2p7(s228)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24006,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s228) | xuntil2p8(s228) | (~until2p7(s228))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24005, 24004])).
% 8.22/6.01 tff(24007,plain,
% 8.22/6.01 (xuntil2p8(s228) | (~until2p7(s228))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24006, 22704, 21126])).
% 8.22/6.01 tff(24008,plain,
% 8.22/6.01 (~until2p7(s228)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24007, 24003])).
% 8.22/6.01 tff(24009,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24010,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24011,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24010, 24009])).
% 8.22/6.01 tff(24012,plain,
% 8.22/6.01 (until2p7(s228) | (~xuntil2p8(s227))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24011, 15514, 22719])).
% 8.22/6.01 tff(24013,plain,
% 8.22/6.01 (~xuntil2p8(s227)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24012, 24008])).
% 8.22/6.01 tff(24014,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24015,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s227) | xuntil2p8(s227) | (~until2p7(s227)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24016,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s227) | xuntil2p8(s227) | (~until2p7(s227))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24015, 24014])).
% 8.22/6.01 tff(24017,plain,
% 8.22/6.01 (xuntil2p8(s227) | (~until2p7(s227))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24016, 22704, 21122])).
% 8.22/6.01 tff(24018,plain,
% 8.22/6.01 (~until2p7(s227)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24017, 24013])).
% 8.22/6.01 tff(24019,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24020,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24021,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24020, 24019])).
% 8.22/6.01 tff(24022,plain,
% 8.22/6.01 (until2p7(s227) | (~xuntil2p8(s226))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24021, 15465, 22719])).
% 8.22/6.01 tff(24023,plain,
% 8.22/6.01 (~xuntil2p8(s226)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24022, 24018])).
% 8.22/6.01 tff(24024,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24025,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s226) | xuntil2p8(s226) | (~until2p7(s226)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24026,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s226) | xuntil2p8(s226) | (~until2p7(s226))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24025, 24024])).
% 8.22/6.01 tff(24027,plain,
% 8.22/6.01 (xuntil2p8(s226) | (~until2p7(s226))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24026, 22704, 21118])).
% 8.22/6.01 tff(24028,plain,
% 8.22/6.01 (~until2p7(s226)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24027, 24023])).
% 8.22/6.01 tff(24029,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24030,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24031,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24030, 24029])).
% 8.22/6.01 tff(24032,plain,
% 8.22/6.01 (until2p7(s226) | (~xuntil2p8(s225))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24031, 15409, 22719])).
% 8.22/6.01 tff(24033,plain,
% 8.22/6.01 (~xuntil2p8(s225)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24032, 24028])).
% 8.22/6.01 tff(24034,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24035,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s225) | xuntil2p8(s225) | (~until2p7(s225)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24036,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s225) | xuntil2p8(s225) | (~until2p7(s225))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24035, 24034])).
% 8.22/6.01 tff(24037,plain,
% 8.22/6.01 (xuntil2p8(s225) | (~until2p7(s225))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24036, 22704, 21114])).
% 8.22/6.01 tff(24038,plain,
% 8.22/6.01 (~until2p7(s225)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24037, 24033])).
% 8.22/6.01 tff(24039,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24040,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24041,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24040, 24039])).
% 8.22/6.01 tff(24042,plain,
% 8.22/6.01 (until2p7(s225) | (~xuntil2p8(s224))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24041, 15353, 22719])).
% 8.22/6.01 tff(24043,plain,
% 8.22/6.01 (~xuntil2p8(s224)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24042, 24038])).
% 8.22/6.01 tff(24044,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24045,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s224) | xuntil2p8(s224) | (~until2p7(s224)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24046,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s224) | xuntil2p8(s224) | (~until2p7(s224))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24045, 24044])).
% 8.22/6.01 tff(24047,plain,
% 8.22/6.01 (xuntil2p8(s224) | (~until2p7(s224))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24046, 22704, 21110])).
% 8.22/6.01 tff(24048,plain,
% 8.22/6.01 (~until2p7(s224)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24047, 24043])).
% 8.22/6.01 tff(24049,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24050,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24051,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24050, 24049])).
% 8.22/6.01 tff(24052,plain,
% 8.22/6.01 (until2p7(s224) | (~xuntil2p8(s223))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24051, 15297, 22719])).
% 8.22/6.01 tff(24053,plain,
% 8.22/6.01 (~xuntil2p8(s223)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24052, 24048])).
% 8.22/6.01 tff(24054,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24055,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s223) | xuntil2p8(s223) | (~until2p7(s223)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24056,plain,
% 8.22/6.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s223) | xuntil2p8(s223) | (~until2p7(s223))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24055, 24054])).
% 8.22/6.01 tff(24057,plain,
% 8.22/6.01 (xuntil2p8(s223) | (~until2p7(s223))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24056, 22704, 21106])).
% 8.22/6.01 tff(24058,plain,
% 8.22/6.01 (~until2p7(s223)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24057, 24053])).
% 8.22/6.01 tff(24059,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.01 inference(rewrite,[status(thm)],[])).
% 8.22/6.01 tff(24060,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222)))),
% 8.22/6.01 inference(quant_inst,[status(thm)],[])).
% 8.22/6.01 tff(24061,plain,
% 8.22/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222))),
% 8.22/6.01 inference(modus_ponens,[status(thm)],[24060, 24059])).
% 8.22/6.01 tff(24062,plain,
% 8.22/6.01 (until2p7(s223) | (~xuntil2p8(s222))),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24061, 15247, 22719])).
% 8.22/6.01 tff(24063,plain,
% 8.22/6.01 (~xuntil2p8(s222)),
% 8.22/6.01 inference(unit_resolution,[status(thm)],[24062, 24058])).
% 8.22/6.01 tff(24064,plain,
% 8.22/6.01 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24065,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s222) | xuntil2p8(s222) | (~until2p7(s222)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24066,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s222) | xuntil2p8(s222) | (~until2p7(s222))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24065, 24064])).
% 8.22/6.02 tff(24067,plain,
% 8.22/6.02 (xuntil2p8(s222) | (~until2p7(s222))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24066, 22704, 21102])).
% 8.22/6.02 tff(24068,plain,
% 8.22/6.02 (~until2p7(s222)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24067, 24063])).
% 8.22/6.02 tff(24069,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24070,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24071,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24070, 24069])).
% 8.22/6.02 tff(24072,plain,
% 8.22/6.02 (until2p7(s222) | (~xuntil2p8(s221))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24071, 15119, 22719])).
% 8.22/6.02 tff(24073,plain,
% 8.22/6.02 (~xuntil2p8(s221)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24072, 24068])).
% 8.22/6.02 tff(24074,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24075,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s221) | xuntil2p8(s221) | (~until2p7(s221)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24076,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s221) | xuntil2p8(s221) | (~until2p7(s221))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24075, 24074])).
% 8.22/6.02 tff(24077,plain,
% 8.22/6.02 (xuntil2p8(s221) | (~until2p7(s221))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24076, 22704, 21098])).
% 8.22/6.02 tff(24078,plain,
% 8.22/6.02 (~until2p7(s221)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24077, 24073])).
% 8.22/6.02 tff(24079,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24080,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24081,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24080, 24079])).
% 8.22/6.02 tff(24082,plain,
% 8.22/6.02 (until2p7(s221) | (~xuntil2p8(s220))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24081, 15070, 22719])).
% 8.22/6.02 tff(24083,plain,
% 8.22/6.02 (~xuntil2p8(s220)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24082, 24078])).
% 8.22/6.02 tff(24084,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24085,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s220) | xuntil2p8(s220) | (~until2p7(s220)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24086,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s220) | xuntil2p8(s220) | (~until2p7(s220))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24085, 24084])).
% 8.22/6.02 tff(24087,plain,
% 8.22/6.02 (xuntil2p8(s220) | (~until2p7(s220))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24086, 22704, 21094])).
% 8.22/6.02 tff(24088,plain,
% 8.22/6.02 (~until2p7(s220)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24087, 24083])).
% 8.22/6.02 tff(24089,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24090,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24091,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24090, 24089])).
% 8.22/6.02 tff(24092,plain,
% 8.22/6.02 (until2p7(s220) | (~xuntil2p8(s219))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24091, 15014, 22719])).
% 8.22/6.02 tff(24093,plain,
% 8.22/6.02 (~xuntil2p8(s219)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24092, 24088])).
% 8.22/6.02 tff(24094,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24095,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s219) | xuntil2p8(s219) | (~until2p7(s219)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24096,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s219) | xuntil2p8(s219) | (~until2p7(s219))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24095, 24094])).
% 8.22/6.02 tff(24097,plain,
% 8.22/6.02 (xuntil2p8(s219) | (~until2p7(s219))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24096, 22704, 21090])).
% 8.22/6.02 tff(24098,plain,
% 8.22/6.02 (~until2p7(s219)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24097, 24093])).
% 8.22/6.02 tff(24099,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24100,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24101,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24100, 24099])).
% 8.22/6.02 tff(24102,plain,
% 8.22/6.02 (until2p7(s219) | (~xuntil2p8(s218))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24101, 14927, 22719])).
% 8.22/6.02 tff(24103,plain,
% 8.22/6.02 (~xuntil2p8(s218)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24102, 24098])).
% 8.22/6.02 tff(24104,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24105,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s218) | xuntil2p8(s218) | (~until2p7(s218)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24106,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s218) | xuntil2p8(s218) | (~until2p7(s218))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24105, 24104])).
% 8.22/6.02 tff(24107,plain,
% 8.22/6.02 (xuntil2p8(s218) | (~until2p7(s218))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24106, 22704, 21086])).
% 8.22/6.02 tff(24108,plain,
% 8.22/6.02 (~until2p7(s218)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24107, 24103])).
% 8.22/6.02 tff(24109,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24110,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24111,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24110, 24109])).
% 8.22/6.02 tff(24112,plain,
% 8.22/6.02 (until2p7(s218) | (~xuntil2p8(s217))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24111, 14540, 22719])).
% 8.22/6.02 tff(24113,plain,
% 8.22/6.02 (~xuntil2p8(s217)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24112, 24108])).
% 8.22/6.02 tff(24114,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24115,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s217) | xuntil2p8(s217) | (~until2p7(s217)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24116,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s217) | xuntil2p8(s217) | (~until2p7(s217))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24115, 24114])).
% 8.22/6.02 tff(24117,plain,
% 8.22/6.02 (xuntil2p8(s217) | (~until2p7(s217))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24116, 22704, 21082])).
% 8.22/6.02 tff(24118,plain,
% 8.22/6.02 (~until2p7(s217)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24117, 24113])).
% 8.22/6.02 tff(24119,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24120,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24121,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24120, 24119])).
% 8.22/6.02 tff(24122,plain,
% 8.22/6.02 (until2p7(s217) | (~xuntil2p8(s216))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24121, 14491, 22719])).
% 8.22/6.02 tff(24123,plain,
% 8.22/6.02 (~xuntil2p8(s216)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24122, 24118])).
% 8.22/6.02 tff(24124,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24125,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s216) | xuntil2p8(s216) | (~until2p7(s216)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24126,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s216) | xuntil2p8(s216) | (~until2p7(s216))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24125, 24124])).
% 8.22/6.02 tff(24127,plain,
% 8.22/6.02 (xuntil2p8(s216) | (~until2p7(s216))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24126, 22704, 21078])).
% 8.22/6.02 tff(24128,plain,
% 8.22/6.02 (~until2p7(s216)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24127, 24123])).
% 8.22/6.02 tff(24129,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24130,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24131,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24130, 24129])).
% 8.22/6.02 tff(24132,plain,
% 8.22/6.02 (until2p7(s216) | (~xuntil2p8(s215))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24131, 14391, 22719])).
% 8.22/6.02 tff(24133,plain,
% 8.22/6.02 (~xuntil2p8(s215)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24132, 24128])).
% 8.22/6.02 tff(24134,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24135,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s215) | xuntil2p8(s215) | (~until2p7(s215)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24136,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s215) | xuntil2p8(s215) | (~until2p7(s215))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24135, 24134])).
% 8.22/6.02 tff(24137,plain,
% 8.22/6.02 (xuntil2p8(s215) | (~until2p7(s215))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24136, 22704, 21074])).
% 8.22/6.02 tff(24138,plain,
% 8.22/6.02 (~until2p7(s215)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24137, 24133])).
% 8.22/6.02 tff(24139,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24140,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24141,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24140, 24139])).
% 8.22/6.02 tff(24142,plain,
% 8.22/6.02 (until2p7(s215) | (~xuntil2p8(s214))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24141, 14335, 22719])).
% 8.22/6.02 tff(24143,plain,
% 8.22/6.02 (~xuntil2p8(s214)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24142, 24138])).
% 8.22/6.02 tff(24144,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24145,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s214) | xuntil2p8(s214) | (~until2p7(s214)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24146,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s214) | xuntil2p8(s214) | (~until2p7(s214))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24145, 24144])).
% 8.22/6.02 tff(24147,plain,
% 8.22/6.02 (xuntil2p8(s214) | (~until2p7(s214))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24146, 22704, 21070])).
% 8.22/6.02 tff(24148,plain,
% 8.22/6.02 (~until2p7(s214)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24147, 24143])).
% 8.22/6.02 tff(24149,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24150,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24151,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24150, 24149])).
% 8.22/6.02 tff(24152,plain,
% 8.22/6.02 (until2p7(s214) | (~xuntil2p8(s213))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24151, 14261, 22719])).
% 8.22/6.02 tff(24153,plain,
% 8.22/6.02 (~xuntil2p8(s213)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24152, 24148])).
% 8.22/6.02 tff(24154,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24155,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s213) | xuntil2p8(s213) | (~until2p7(s213)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24156,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s213) | xuntil2p8(s213) | (~until2p7(s213))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24155, 24154])).
% 8.22/6.02 tff(24157,plain,
% 8.22/6.02 (xuntil2p8(s213) | (~until2p7(s213))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24156, 22704, 21066])).
% 8.22/6.02 tff(24158,plain,
% 8.22/6.02 (~until2p7(s213)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24157, 24153])).
% 8.22/6.02 tff(24159,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24160,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24161,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24160, 24159])).
% 8.22/6.02 tff(24162,plain,
% 8.22/6.02 (until2p7(s213) | (~xuntil2p8(s212))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24161, 14223, 22719])).
% 8.22/6.02 tff(24163,plain,
% 8.22/6.02 (~xuntil2p8(s212)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24162, 24158])).
% 8.22/6.02 tff(24164,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24165,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s212) | xuntil2p8(s212) | (~until2p7(s212)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24166,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s212) | xuntil2p8(s212) | (~until2p7(s212))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24165, 24164])).
% 8.22/6.02 tff(24167,plain,
% 8.22/6.02 (xuntil2p8(s212) | (~until2p7(s212))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24166, 22704, 21062])).
% 8.22/6.02 tff(24168,plain,
% 8.22/6.02 (~until2p7(s212)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24167, 24163])).
% 8.22/6.02 tff(24169,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24170,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24171,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24170, 24169])).
% 8.22/6.02 tff(24172,plain,
% 8.22/6.02 (until2p7(s212) | (~xuntil2p8(s211))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24171, 14161, 22719])).
% 8.22/6.02 tff(24173,plain,
% 8.22/6.02 (~xuntil2p8(s211)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24172, 24168])).
% 8.22/6.02 tff(24174,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24175,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s211) | xuntil2p8(s211) | (~until2p7(s211)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24176,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s211) | xuntil2p8(s211) | (~until2p7(s211))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24175, 24174])).
% 8.22/6.02 tff(24177,plain,
% 8.22/6.02 (xuntil2p8(s211) | (~until2p7(s211))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24176, 22704, 21058])).
% 8.22/6.02 tff(24178,plain,
% 8.22/6.02 (~until2p7(s211)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24177, 24173])).
% 8.22/6.02 tff(24179,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24180,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24181,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24180, 24179])).
% 8.22/6.02 tff(24182,plain,
% 8.22/6.02 (until2p7(s211) | (~xuntil2p8(s210))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24181, 13946, 22719])).
% 8.22/6.02 tff(24183,plain,
% 8.22/6.02 (~xuntil2p8(s210)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24182, 24178])).
% 8.22/6.02 tff(24184,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24185,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s210) | xuntil2p8(s210) | (~until2p7(s210)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24186,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s210) | xuntil2p8(s210) | (~until2p7(s210))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24185, 24184])).
% 8.22/6.02 tff(24187,plain,
% 8.22/6.02 (xuntil2p8(s210) | (~until2p7(s210))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24186, 22704, 21054])).
% 8.22/6.02 tff(24188,plain,
% 8.22/6.02 (~until2p7(s210)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24187, 24183])).
% 8.22/6.02 tff(24189,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24190,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24191,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24190, 24189])).
% 8.22/6.02 tff(24192,plain,
% 8.22/6.02 (until2p7(s210) | (~xuntil2p8(s209))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24191, 13890, 22719])).
% 8.22/6.02 tff(24193,plain,
% 8.22/6.02 (~xuntil2p8(s209)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24192, 24188])).
% 8.22/6.02 tff(24194,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24195,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s209) | xuntil2p8(s209) | (~until2p7(s209)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24196,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s209) | xuntil2p8(s209) | (~until2p7(s209))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24195, 24194])).
% 8.22/6.02 tff(24197,plain,
% 8.22/6.02 (xuntil2p8(s209) | (~until2p7(s209))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24196, 22704, 21050])).
% 8.22/6.02 tff(24198,plain,
% 8.22/6.02 (~until2p7(s209)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24197, 24193])).
% 8.22/6.02 tff(24199,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24200,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24201,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24200, 24199])).
% 8.22/6.02 tff(24202,plain,
% 8.22/6.02 (until2p7(s209) | (~xuntil2p8(s208))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24201, 13740, 22719])).
% 8.22/6.02 tff(24203,plain,
% 8.22/6.02 (~xuntil2p8(s208)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24202, 24198])).
% 8.22/6.02 tff(24204,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24205,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s208) | xuntil2p8(s208) | (~until2p7(s208)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24206,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s208) | xuntil2p8(s208) | (~until2p7(s208))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24205, 24204])).
% 8.22/6.02 tff(24207,plain,
% 8.22/6.02 (xuntil2p8(s208) | (~until2p7(s208))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24206, 22704, 21046])).
% 8.22/6.02 tff(24208,plain,
% 8.22/6.02 (~until2p7(s208)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24207, 24203])).
% 8.22/6.02 tff(24209,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24210,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24211,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24210, 24209])).
% 8.22/6.02 tff(24212,plain,
% 8.22/6.02 (until2p7(s208) | (~xuntil2p8(s207))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24211, 12639, 22719])).
% 8.22/6.02 tff(24213,plain,
% 8.22/6.02 (~xuntil2p8(s207)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24212, 24208])).
% 8.22/6.02 tff(24214,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24215,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s207) | xuntil2p8(s207) | (~until2p7(s207)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24216,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s207) | xuntil2p8(s207) | (~until2p7(s207))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24215, 24214])).
% 8.22/6.02 tff(24217,plain,
% 8.22/6.02 (xuntil2p8(s207) | (~until2p7(s207))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24216, 22704, 21042])).
% 8.22/6.02 tff(24218,plain,
% 8.22/6.02 (~until2p7(s207)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24217, 24213])).
% 8.22/6.02 tff(24219,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24220,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24221,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24220, 24219])).
% 8.22/6.02 tff(24222,plain,
% 8.22/6.02 (until2p7(s207) | (~xuntil2p8(s206))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24221, 12688, 22719])).
% 8.22/6.02 tff(24223,plain,
% 8.22/6.02 (~xuntil2p8(s206)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24222, 24218])).
% 8.22/6.02 tff(24224,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24225,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s206) | xuntil2p8(s206) | (~until2p7(s206)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24226,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s206) | xuntil2p8(s206) | (~until2p7(s206))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24225, 24224])).
% 8.22/6.02 tff(24227,plain,
% 8.22/6.02 (xuntil2p8(s206) | (~until2p7(s206))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24226, 22704, 21038])).
% 8.22/6.02 tff(24228,plain,
% 8.22/6.02 (~until2p7(s206)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24227, 24223])).
% 8.22/6.02 tff(24229,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24230,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24231,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24230, 24229])).
% 8.22/6.02 tff(24232,plain,
% 8.22/6.02 (until2p7(s206) | (~xuntil2p8(s205))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24231, 12823, 22719])).
% 8.22/6.02 tff(24233,plain,
% 8.22/6.02 (~xuntil2p8(s205)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24232, 24228])).
% 8.22/6.02 tff(24234,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24235,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s205) | xuntil2p8(s205) | (~until2p7(s205)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24236,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s205) | xuntil2p8(s205) | (~until2p7(s205))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24235, 24234])).
% 8.22/6.02 tff(24237,plain,
% 8.22/6.02 (xuntil2p8(s205) | (~until2p7(s205))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24236, 22704, 21034])).
% 8.22/6.02 tff(24238,plain,
% 8.22/6.02 (~until2p7(s205)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24237, 24233])).
% 8.22/6.02 tff(24239,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24240,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24241,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24240, 24239])).
% 8.22/6.02 tff(24242,plain,
% 8.22/6.02 (until2p7(s205) | (~xuntil2p8(s204))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24241, 12728, 22719])).
% 8.22/6.02 tff(24243,plain,
% 8.22/6.02 (~xuntil2p8(s204)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24242, 24238])).
% 8.22/6.02 tff(24244,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24245,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s204) | xuntil2p8(s204) | (~until2p7(s204)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24246,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s204) | xuntil2p8(s204) | (~until2p7(s204))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24245, 24244])).
% 8.22/6.02 tff(24247,plain,
% 8.22/6.02 (xuntil2p8(s204) | (~until2p7(s204))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24246, 22704, 21030])).
% 8.22/6.02 tff(24248,plain,
% 8.22/6.02 (~until2p7(s204)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24247, 24243])).
% 8.22/6.02 tff(24249,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24250,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.02 tff(24251,plain,
% 8.22/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203))),
% 8.22/6.02 inference(modus_ponens,[status(thm)],[24250, 24249])).
% 8.22/6.02 tff(24252,plain,
% 8.22/6.02 (until2p7(s204) | (~xuntil2p8(s203))),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24251, 13505, 22719])).
% 8.22/6.02 tff(24253,plain,
% 8.22/6.02 (~xuntil2p8(s203)),
% 8.22/6.02 inference(unit_resolution,[status(thm)],[24252, 24248])).
% 8.22/6.02 tff(24254,plain,
% 8.22/6.02 (((~![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)))),
% 8.22/6.02 inference(rewrite,[status(thm)],[])).
% 8.22/6.02 tff(24255,plain,
% 8.22/6.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s203) | xuntil2p8(s203) | (~until2p7(s203)))),
% 8.22/6.02 inference(quant_inst,[status(thm)],[])).
% 8.22/6.03 tff(24256,plain,
% 8.22/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s203) | xuntil2p8(s203) | (~until2p7(s203))),
% 8.22/6.03 inference(modus_ponens,[status(thm)],[24255, 24254])).
% 8.22/6.03 tff(24257,plain,
% 8.22/6.03 (xuntil2p8(s203) | (~until2p7(s203))),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24256, 22704, 21026])).
% 8.22/6.03 tff(24258,plain,
% 8.22/6.03 (~until2p7(s203)),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24257, 24253])).
% 8.22/6.03 tff(24259,plain,
% 8.22/6.03 (((~![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)))),
% 8.22/6.03 inference(rewrite,[status(thm)],[])).
% 8.22/6.03 tff(24260,plain,
% 8.22/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202)))),
% 8.22/6.03 inference(quant_inst,[status(thm)],[])).
% 8.22/6.03 tff(24261,plain,
% 8.22/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202))),
% 8.22/6.03 inference(modus_ponens,[status(thm)],[24260, 24259])).
% 8.22/6.03 tff(24262,plain,
% 8.22/6.03 (until2p7(s203) | (~xuntil2p8(s202))),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24261, 13597, 22719])).
% 8.22/6.03 tff(24263,plain,
% 8.22/6.03 (~xuntil2p8(s202)),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24262, 24258])).
% 8.22/6.03 tff(24264,plain,
% 8.22/6.03 (((~![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)))),
% 8.22/6.03 inference(rewrite,[status(thm)],[])).
% 8.22/6.03 tff(24265,plain,
% 8.22/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s202) | xuntil2p8(s202) | (~until2p7(s202)))),
% 8.22/6.03 inference(quant_inst,[status(thm)],[])).
% 8.22/6.03 tff(24266,plain,
% 8.22/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s202) | xuntil2p8(s202) | (~until2p7(s202))),
% 8.22/6.03 inference(modus_ponens,[status(thm)],[24265, 24264])).
% 8.22/6.03 tff(24267,plain,
% 8.22/6.03 (xuntil2p8(s202) | (~until2p7(s202))),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24266, 22704, 21022])).
% 8.22/6.03 tff(24268,plain,
% 8.22/6.03 (~until2p7(s202)),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24267, 24263])).
% 8.22/6.03 tff(24269,plain,
% 8.22/6.03 (((~![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)))),
% 8.22/6.03 inference(rewrite,[status(thm)],[])).
% 8.22/6.03 tff(24270,plain,
% 8.22/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201)))),
% 8.22/6.03 inference(quant_inst,[status(thm)],[])).
% 8.22/6.03 tff(24271,plain,
% 8.22/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201))),
% 8.22/6.03 inference(modus_ponens,[status(thm)],[24270, 24269])).
% 8.22/6.03 tff(24272,plain,
% 8.22/6.03 (until2p7(s202) | (~xuntil2p8(s201))),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24271, 12501, 22719])).
% 8.22/6.03 tff(24273,plain,
% 8.22/6.03 (~xuntil2p8(s201)),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24272, 24268])).
% 8.22/6.03 tff(24274,plain,
% 8.22/6.03 (((~![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)))),
% 8.22/6.03 inference(rewrite,[status(thm)],[])).
% 8.22/6.03 tff(24275,plain,
% 8.22/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s201) | xuntil2p8(s201) | (~until2p7(s201)))),
% 8.22/6.03 inference(quant_inst,[status(thm)],[])).
% 8.22/6.03 tff(24276,plain,
% 8.22/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s201) | xuntil2p8(s201) | (~until2p7(s201))),
% 8.22/6.03 inference(modus_ponens,[status(thm)],[24275, 24274])).
% 8.22/6.03 tff(24277,plain,
% 8.22/6.03 (xuntil2p8(s201) | (~until2p7(s201))),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24276, 22704, 21018])).
% 8.22/6.03 tff(24278,plain,
% 8.22/6.03 (~until2p7(s201)),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24277, 24273])).
% 8.22/6.03 tff(24279,plain,
% 8.22/6.03 (((~![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)))),
% 8.22/6.03 inference(rewrite,[status(thm)],[])).
% 8.22/6.03 tff(24280,plain,
% 8.22/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200)))),
% 8.22/6.03 inference(quant_inst,[status(thm)],[])).
% 8.22/6.03 tff(24281,plain,
% 8.22/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200))),
% 8.22/6.03 inference(modus_ponens,[status(thm)],[24280, 24279])).
% 8.22/6.03 tff(24282,plain,
% 8.22/6.03 (until2p7(s201) | (~xuntil2p8(s200))),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24281, 12550, 22719])).
% 8.22/6.03 tff(24283,plain,
% 8.22/6.03 (~xuntil2p8(s200)),
% 8.22/6.03 inference(unit_resolution,[status(thm)],[24282, 24278])).
% 8.25/6.03 tff(24284,plain,
% 8.25/6.03 (((~![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)))),
% 8.25/6.03 inference(rewrite,[status(thm)],[])).
% 8.25/6.03 tff(24285,plain,
% 8.25/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s200) | xuntil2p8(s200) | (~until2p7(s200)))),
% 8.25/6.03 inference(quant_inst,[status(thm)],[])).
% 8.25/6.03 tff(24286,plain,
% 8.25/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s200) | xuntil2p8(s200) | (~until2p7(s200))),
% 8.25/6.03 inference(modus_ponens,[status(thm)],[24285, 24284])).
% 8.25/6.03 tff(24287,plain,
% 8.25/6.03 (xuntil2p8(s200) | (~until2p7(s200))),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24286, 22704, 21014])).
% 8.25/6.03 tff(24288,plain,
% 8.25/6.03 (~until2p7(s200)),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24287, 24283])).
% 8.25/6.03 tff(24289,plain,
% 8.25/6.03 (((~![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)))),
% 8.25/6.03 inference(rewrite,[status(thm)],[])).
% 8.25/6.03 tff(24290,plain,
% 8.25/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199)))),
% 8.25/6.03 inference(quant_inst,[status(thm)],[])).
% 8.25/6.03 tff(24291,plain,
% 8.25/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199))),
% 8.25/6.03 inference(modus_ponens,[status(thm)],[24290, 24289])).
% 8.25/6.03 tff(24292,plain,
% 8.25/6.03 (until2p7(s200) | (~xuntil2p8(s199))),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24291, 12452, 22719])).
% 8.25/6.03 tff(24293,plain,
% 8.25/6.03 (~xuntil2p8(s199)),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24292, 24288])).
% 8.25/6.03 tff(24294,plain,
% 8.25/6.03 (((~![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)))),
% 8.25/6.03 inference(rewrite,[status(thm)],[])).
% 8.25/6.03 tff(24295,plain,
% 8.25/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s199) | xuntil2p8(s199) | (~until2p7(s199)))),
% 8.25/6.03 inference(quant_inst,[status(thm)],[])).
% 8.25/6.03 tff(24296,plain,
% 8.25/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s199) | xuntil2p8(s199) | (~until2p7(s199))),
% 8.25/6.03 inference(modus_ponens,[status(thm)],[24295, 24294])).
% 8.25/6.03 tff(24297,plain,
% 8.25/6.03 (xuntil2p8(s199) | (~until2p7(s199))),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24296, 22704, 21010])).
% 8.25/6.03 tff(24298,plain,
% 8.25/6.03 (~until2p7(s199)),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24297, 24293])).
% 8.25/6.03 tff(24299,plain,
% 8.25/6.03 (((~![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)))),
% 8.25/6.03 inference(rewrite,[status(thm)],[])).
% 8.25/6.03 tff(24300,plain,
% 8.25/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198)))),
% 8.25/6.03 inference(quant_inst,[status(thm)],[])).
% 8.25/6.03 tff(24301,plain,
% 8.25/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198))),
% 8.25/6.03 inference(modus_ponens,[status(thm)],[24300, 24299])).
% 8.25/6.03 tff(24302,plain,
% 8.25/6.03 (until2p7(s199) | (~xuntil2p8(s198))),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24301, 12780, 22719])).
% 8.25/6.03 tff(24303,plain,
% 8.25/6.03 (~xuntil2p8(s198)),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24302, 24298])).
% 8.25/6.03 tff(24304,plain,
% 8.25/6.03 (((~![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)))),
% 8.25/6.03 inference(rewrite,[status(thm)],[])).
% 8.25/6.03 tff(24305,plain,
% 8.25/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s198) | xuntil2p8(s198) | (~until2p7(s198)))),
% 8.25/6.03 inference(quant_inst,[status(thm)],[])).
% 8.25/6.03 tff(24306,plain,
% 8.25/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s198) | xuntil2p8(s198) | (~until2p7(s198))),
% 8.25/6.03 inference(modus_ponens,[status(thm)],[24305, 24304])).
% 8.25/6.03 tff(24307,plain,
% 8.25/6.03 (xuntil2p8(s198) | (~until2p7(s198))),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24306, 22704, 21006])).
% 8.25/6.03 tff(24308,plain,
% 8.25/6.03 (~until2p7(s198)),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24307, 24303])).
% 8.25/6.03 tff(24309,plain,
% 8.25/6.03 (((~![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)))),
% 8.25/6.03 inference(rewrite,[status(thm)],[])).
% 8.25/6.03 tff(24310,plain,
% 8.25/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197)))),
% 8.25/6.03 inference(quant_inst,[status(thm)],[])).
% 8.25/6.03 tff(24311,plain,
% 8.25/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197))),
% 8.25/6.03 inference(modus_ponens,[status(thm)],[24310, 24309])).
% 8.25/6.03 tff(24312,plain,
% 8.25/6.03 (until2p7(s198) | (~xuntil2p8(s197))),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24311, 12584, 22719])).
% 8.25/6.03 tff(24313,plain,
% 8.25/6.03 (~xuntil2p8(s197)),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24312, 24308])).
% 8.25/6.03 tff(24314,plain,
% 8.25/6.03 (((~![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)))),
% 8.25/6.03 inference(rewrite,[status(thm)],[])).
% 8.25/6.03 tff(24315,plain,
% 8.25/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s197) | xuntil2p8(s197) | (~until2p7(s197)))),
% 8.25/6.03 inference(quant_inst,[status(thm)],[])).
% 8.25/6.03 tff(24316,plain,
% 8.25/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s197) | xuntil2p8(s197) | (~until2p7(s197))),
% 8.25/6.03 inference(modus_ponens,[status(thm)],[24315, 24314])).
% 8.25/6.03 tff(24317,plain,
% 8.25/6.03 (xuntil2p8(s197) | (~until2p7(s197))),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24316, 22704, 21002])).
% 8.25/6.03 tff(24318,plain,
% 8.25/6.03 (~until2p7(s197)),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24317, 24313])).
% 8.25/6.03 tff(24319,plain,
% 8.25/6.03 (((~![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)))),
% 8.25/6.03 inference(rewrite,[status(thm)],[])).
% 8.25/6.03 tff(24320,plain,
% 8.25/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196)))),
% 8.25/6.03 inference(quant_inst,[status(thm)],[])).
% 8.25/6.03 tff(24321,plain,
% 8.25/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196))),
% 8.25/6.03 inference(modus_ponens,[status(thm)],[24320, 24319])).
% 8.25/6.03 tff(24322,plain,
% 8.25/6.03 (until2p7(s197) | (~xuntil2p8(s196))),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24321, 13449, 22719])).
% 8.25/6.03 tff(24323,plain,
% 8.25/6.03 (~xuntil2p8(s196)),
% 8.25/6.03 inference(unit_resolution,[status(thm)],[24322, 24318])).
% 8.25/6.03 tff(24324,plain,
% 8.25/6.03 (((~![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)))),
% 8.25/6.03 inference(rewrite,[status(thm)],[])).
% 8.25/6.03 tff(24325,plain,
% 8.25/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s196) | xuntil2p8(s196) | (~until2p7(s196)))),
% 8.25/6.03 inference(quant_inst,[status(thm)],[])).
% 8.25/6.03 tff(24326,plain,
% 8.25/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s196) | xuntil2p8(s196) | (~until2p7(s196))),
% 8.25/6.03 inference(modus_ponens,[status(thm)],[24325, 24324])).
% 8.26/6.03 tff(24327,plain,
% 8.26/6.03 (xuntil2p8(s196) | (~until2p7(s196))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24326, 22704, 20998])).
% 8.26/6.03 tff(24328,plain,
% 8.26/6.03 (~until2p7(s196)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24327, 24323])).
% 8.26/6.03 tff(24329,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24330,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24331,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24330, 24329])).
% 8.26/6.03 tff(24332,plain,
% 8.26/6.03 (until2p7(s196) | (~xuntil2p8(s195))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24331, 12396, 22719])).
% 8.26/6.03 tff(24333,plain,
% 8.26/6.03 (~xuntil2p8(s195)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24332, 24328])).
% 8.26/6.03 tff(24334,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24335,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s195) | xuntil2p8(s195) | (~until2p7(s195)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24336,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s195) | xuntil2p8(s195) | (~until2p7(s195))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24335, 24334])).
% 8.26/6.03 tff(24337,plain,
% 8.26/6.03 (xuntil2p8(s195) | (~until2p7(s195))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24336, 22704, 20994])).
% 8.26/6.03 tff(24338,plain,
% 8.26/6.03 (~until2p7(s195)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24337, 24333])).
% 8.26/6.03 tff(24339,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24340,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24341,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24340, 24339])).
% 8.26/6.03 tff(24342,plain,
% 8.26/6.03 (until2p7(s195) | (~xuntil2p8(s194))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24341, 12340, 22719])).
% 8.26/6.03 tff(24343,plain,
% 8.26/6.03 (~xuntil2p8(s194)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24342, 24338])).
% 8.26/6.03 tff(24344,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24345,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s194) | xuntil2p8(s194) | (~until2p7(s194)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24346,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s194) | xuntil2p8(s194) | (~until2p7(s194))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24345, 24344])).
% 8.26/6.03 tff(24347,plain,
% 8.26/6.03 (xuntil2p8(s194) | (~until2p7(s194))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24346, 22704, 20990])).
% 8.26/6.03 tff(24348,plain,
% 8.26/6.03 (~until2p7(s194)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24347, 24343])).
% 8.26/6.03 tff(24349,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24350,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24351,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24350, 24349])).
% 8.26/6.03 tff(24352,plain,
% 8.26/6.03 (until2p7(s194) | (~xuntil2p8(s193))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24351, 12284, 22719])).
% 8.26/6.03 tff(24353,plain,
% 8.26/6.03 (~xuntil2p8(s193)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24352, 24348])).
% 8.26/6.03 tff(24354,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24355,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s193) | xuntil2p8(s193) | (~until2p7(s193)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24356,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s193) | xuntil2p8(s193) | (~until2p7(s193))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24355, 24354])).
% 8.26/6.03 tff(24357,plain,
% 8.26/6.03 (xuntil2p8(s193) | (~until2p7(s193))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24356, 22704, 20986])).
% 8.26/6.03 tff(24358,plain,
% 8.26/6.03 (~until2p7(s193)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24357, 24353])).
% 8.26/6.03 tff(24359,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24360,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24361,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24360, 24359])).
% 8.26/6.03 tff(24362,plain,
% 8.26/6.03 (until2p7(s193) | (~xuntil2p8(s192))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24361, 12228, 22719])).
% 8.26/6.03 tff(24363,plain,
% 8.26/6.03 (~xuntil2p8(s192)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24362, 24358])).
% 8.26/6.03 tff(24364,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24365,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s192) | xuntil2p8(s192) | (~until2p7(s192)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24366,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s192) | xuntil2p8(s192) | (~until2p7(s192))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24365, 24364])).
% 8.26/6.03 tff(24367,plain,
% 8.26/6.03 (xuntil2p8(s192) | (~until2p7(s192))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24366, 22704, 20982])).
% 8.26/6.03 tff(24368,plain,
% 8.26/6.03 (~until2p7(s192)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24367, 24363])).
% 8.26/6.03 tff(24369,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24370,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24371,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24370, 24369])).
% 8.26/6.03 tff(24372,plain,
% 8.26/6.03 (until2p7(s192) | (~xuntil2p8(s191))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24371, 12172, 22719])).
% 8.26/6.03 tff(24373,plain,
% 8.26/6.03 (~xuntil2p8(s191)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24372, 24368])).
% 8.26/6.03 tff(24374,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24375,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s191) | xuntil2p8(s191) | (~until2p7(s191)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24376,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s191) | xuntil2p8(s191) | (~until2p7(s191))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24375, 24374])).
% 8.26/6.03 tff(24377,plain,
% 8.26/6.03 (xuntil2p8(s191) | (~until2p7(s191))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24376, 22704, 20978])).
% 8.26/6.03 tff(24378,plain,
% 8.26/6.03 (~until2p7(s191)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24377, 24373])).
% 8.26/6.03 tff(24379,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24380,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24381,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24380, 24379])).
% 8.26/6.03 tff(24382,plain,
% 8.26/6.03 (until2p7(s191) | (~xuntil2p8(s190))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24381, 12116, 22719])).
% 8.26/6.03 tff(24383,plain,
% 8.26/6.03 (~xuntil2p8(s190)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24382, 24378])).
% 8.26/6.03 tff(24384,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24385,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s190) | xuntil2p8(s190) | (~until2p7(s190)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24386,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s190) | xuntil2p8(s190) | (~until2p7(s190))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24385, 24384])).
% 8.26/6.03 tff(24387,plain,
% 8.26/6.03 (xuntil2p8(s190) | (~until2p7(s190))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24386, 22704, 20974])).
% 8.26/6.03 tff(24388,plain,
% 8.26/6.03 (~until2p7(s190)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24387, 24383])).
% 8.26/6.03 tff(24389,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24390,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24391,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 8.26/6.03 tff(24392,plain,
% 8.26/6.03 (until2p7(s190) | (~xuntil2p8(s189))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24391, 12060, 22719])).
% 8.26/6.03 tff(24393,plain,
% 8.26/6.03 (~xuntil2p8(s189)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24392, 24388])).
% 8.26/6.03 tff(24394,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24395,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s189) | xuntil2p8(s189) | (~until2p7(s189)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24396,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s189) | xuntil2p8(s189) | (~until2p7(s189))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24395, 24394])).
% 8.26/6.03 tff(24397,plain,
% 8.26/6.03 (xuntil2p8(s189) | (~until2p7(s189))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24396, 22704, 20970])).
% 8.26/6.03 tff(24398,plain,
% 8.26/6.03 (~until2p7(s189)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24397, 24393])).
% 8.26/6.03 tff(24399,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24400,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24401,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24400, 24399])).
% 8.26/6.03 tff(24402,plain,
% 8.26/6.03 (until2p7(s189) | (~xuntil2p8(s188))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24401, 12004, 22719])).
% 8.26/6.03 tff(24403,plain,
% 8.26/6.03 (~xuntil2p8(s188)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24402, 24398])).
% 8.26/6.03 tff(24404,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24405,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s188) | xuntil2p8(s188) | (~until2p7(s188)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24406,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s188) | xuntil2p8(s188) | (~until2p7(s188))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24405, 24404])).
% 8.26/6.03 tff(24407,plain,
% 8.26/6.03 (xuntil2p8(s188) | (~until2p7(s188))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24406, 22704, 20966])).
% 8.26/6.03 tff(24408,plain,
% 8.26/6.03 (~until2p7(s188)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24407, 24403])).
% 8.26/6.03 tff(24409,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24410,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24411,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24410, 24409])).
% 8.26/6.03 tff(24412,plain,
% 8.26/6.03 (until2p7(s188) | (~xuntil2p8(s187))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24411, 11948, 22719])).
% 8.26/6.03 tff(24413,plain,
% 8.26/6.03 (~xuntil2p8(s187)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24412, 24408])).
% 8.26/6.03 tff(24414,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24415,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s187) | xuntil2p8(s187) | (~until2p7(s187)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24416,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s187) | xuntil2p8(s187) | (~until2p7(s187))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24415, 24414])).
% 8.26/6.03 tff(24417,plain,
% 8.26/6.03 (xuntil2p8(s187) | (~until2p7(s187))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24416, 22704, 20962])).
% 8.26/6.03 tff(24418,plain,
% 8.26/6.03 (~until2p7(s187)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24417, 24413])).
% 8.26/6.03 tff(24419,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24420,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24421,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24420, 24419])).
% 8.26/6.03 tff(24422,plain,
% 8.26/6.03 (until2p7(s187) | (~xuntil2p8(s186))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24421, 11892, 22719])).
% 8.26/6.03 tff(24423,plain,
% 8.26/6.03 (~xuntil2p8(s186)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24422, 24418])).
% 8.26/6.03 tff(24424,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24425,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s186) | xuntil2p8(s186) | (~until2p7(s186)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24426,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s186) | xuntil2p8(s186) | (~until2p7(s186))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24425, 24424])).
% 8.26/6.03 tff(24427,plain,
% 8.26/6.03 (xuntil2p8(s186) | (~until2p7(s186))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24426, 22704, 20958])).
% 8.26/6.03 tff(24428,plain,
% 8.26/6.03 (~until2p7(s186)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24427, 24423])).
% 8.26/6.03 tff(24429,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24430,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24431,plain,
% 8.26/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185))),
% 8.26/6.03 inference(modus_ponens,[status(thm)],[24430, 24429])).
% 8.26/6.03 tff(24432,plain,
% 8.26/6.03 (until2p7(s186) | (~xuntil2p8(s185))),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24431, 11836, 22719])).
% 8.26/6.03 tff(24433,plain,
% 8.26/6.03 (~xuntil2p8(s185)),
% 8.26/6.03 inference(unit_resolution,[status(thm)],[24432, 24428])).
% 8.26/6.03 tff(24434,plain,
% 8.26/6.03 (((~![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)))),
% 8.26/6.03 inference(rewrite,[status(thm)],[])).
% 8.26/6.03 tff(24435,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s185) | xuntil2p8(s185) | (~until2p7(s185)))),
% 8.26/6.03 inference(quant_inst,[status(thm)],[])).
% 8.26/6.03 tff(24436,plain,
% 8.26/6.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s185) | xuntil2p8(s185) | (~until2p7(s185))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24435, 24434])).
% 8.26/6.04 tff(24437,plain,
% 8.26/6.04 (xuntil2p8(s185) | (~until2p7(s185))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24436, 22704, 20954])).
% 8.26/6.04 tff(24438,plain,
% 8.26/6.04 (~until2p7(s185)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24437, 24433])).
% 8.26/6.04 tff(24439,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24440,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24441,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24440, 24439])).
% 8.26/6.04 tff(24442,plain,
% 8.26/6.04 (until2p7(s185) | (~xuntil2p8(s184))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24441, 11780, 22719])).
% 8.26/6.04 tff(24443,plain,
% 8.26/6.04 (~xuntil2p8(s184)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24442, 24438])).
% 8.26/6.04 tff(24444,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24445,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s184) | xuntil2p8(s184) | (~until2p7(s184)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24446,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s184) | xuntil2p8(s184) | (~until2p7(s184))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24445, 24444])).
% 8.26/6.04 tff(24447,plain,
% 8.26/6.04 (xuntil2p8(s184) | (~until2p7(s184))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24446, 22704, 20950])).
% 8.26/6.04 tff(24448,plain,
% 8.26/6.04 (~until2p7(s184)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24447, 24443])).
% 8.26/6.04 tff(24449,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24450,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24451,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24450, 24449])).
% 8.26/6.04 tff(24452,plain,
% 8.26/6.04 (until2p7(s184) | (~xuntil2p8(s183))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24451, 11724, 22719])).
% 8.26/6.04 tff(24453,plain,
% 8.26/6.04 (~xuntil2p8(s183)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24452, 24448])).
% 8.26/6.04 tff(24454,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24455,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s183) | xuntil2p8(s183) | (~until2p7(s183)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24456,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s183) | xuntil2p8(s183) | (~until2p7(s183))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24455, 24454])).
% 8.26/6.04 tff(24457,plain,
% 8.26/6.04 (xuntil2p8(s183) | (~until2p7(s183))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24456, 22704, 20946])).
% 8.26/6.04 tff(24458,plain,
% 8.26/6.04 (~until2p7(s183)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24457, 24453])).
% 8.26/6.04 tff(24459,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24460,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24461,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24460, 24459])).
% 8.26/6.04 tff(24462,plain,
% 8.26/6.04 (until2p7(s183) | (~xuntil2p8(s182))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24461, 11668, 22719])).
% 8.26/6.04 tff(24463,plain,
% 8.26/6.04 (~xuntil2p8(s182)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24462, 24458])).
% 8.26/6.04 tff(24464,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24465,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s182) | xuntil2p8(s182) | (~until2p7(s182)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24466,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s182) | xuntil2p8(s182) | (~until2p7(s182))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24465, 24464])).
% 8.26/6.04 tff(24467,plain,
% 8.26/6.04 (xuntil2p8(s182) | (~until2p7(s182))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24466, 22704, 20942])).
% 8.26/6.04 tff(24468,plain,
% 8.26/6.04 (~until2p7(s182)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24467, 24463])).
% 8.26/6.04 tff(24469,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24470,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24471,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24470, 24469])).
% 8.26/6.04 tff(24472,plain,
% 8.26/6.04 (until2p7(s182) | (~xuntil2p8(s181))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24471, 11612, 22719])).
% 8.26/6.04 tff(24473,plain,
% 8.26/6.04 (~xuntil2p8(s181)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24472, 24468])).
% 8.26/6.04 tff(24474,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24475,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s181) | xuntil2p8(s181) | (~until2p7(s181)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24476,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s181) | xuntil2p8(s181) | (~until2p7(s181))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24475, 24474])).
% 8.26/6.04 tff(24477,plain,
% 8.26/6.04 (xuntil2p8(s181) | (~until2p7(s181))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24476, 22704, 20938])).
% 8.26/6.04 tff(24478,plain,
% 8.26/6.04 (~until2p7(s181)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24477, 24473])).
% 8.26/6.04 tff(24479,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24480,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24481,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24480, 24479])).
% 8.26/6.04 tff(24482,plain,
% 8.26/6.04 (until2p7(s181) | (~xuntil2p8(s180))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24481, 11554, 22719])).
% 8.26/6.04 tff(24483,plain,
% 8.26/6.04 (~xuntil2p8(s180)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24482, 24478])).
% 8.26/6.04 tff(24484,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24485,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s180) | xuntil2p8(s180) | (~until2p7(s180)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24486,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s180) | xuntil2p8(s180) | (~until2p7(s180))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24485, 24484])).
% 8.26/6.04 tff(24487,plain,
% 8.26/6.04 (xuntil2p8(s180) | (~until2p7(s180))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24486, 22704, 20934])).
% 8.26/6.04 tff(24488,plain,
% 8.26/6.04 (~until2p7(s180)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24487, 24483])).
% 8.26/6.04 tff(24489,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24490,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24491,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24490, 24489])).
% 8.26/6.04 tff(24492,plain,
% 8.26/6.04 (until2p7(s180) | (~xuntil2p8(s179))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24491, 11497, 22719])).
% 8.26/6.04 tff(24493,plain,
% 8.26/6.04 (~xuntil2p8(s179)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24492, 24488])).
% 8.26/6.04 tff(24494,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24495,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s179) | xuntil2p8(s179) | (~until2p7(s179)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24496,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s179) | xuntil2p8(s179) | (~until2p7(s179))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24495, 24494])).
% 8.26/6.04 tff(24497,plain,
% 8.26/6.04 (xuntil2p8(s179) | (~until2p7(s179))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24496, 22704, 20930])).
% 8.26/6.04 tff(24498,plain,
% 8.26/6.04 (~until2p7(s179)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24497, 24493])).
% 8.26/6.04 tff(24499,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24500,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24501,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24500, 24499])).
% 8.26/6.04 tff(24502,plain,
% 8.26/6.04 (until2p7(s179) | (~xuntil2p8(s178))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24501, 11441, 22719])).
% 8.26/6.04 tff(24503,plain,
% 8.26/6.04 (~xuntil2p8(s178)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24502, 24498])).
% 8.26/6.04 tff(24504,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24505,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s178) | xuntil2p8(s178) | (~until2p7(s178)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24506,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s178) | xuntil2p8(s178) | (~until2p7(s178))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24505, 24504])).
% 8.26/6.04 tff(24507,plain,
% 8.26/6.04 (xuntil2p8(s178) | (~until2p7(s178))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24506, 22704, 20926])).
% 8.26/6.04 tff(24508,plain,
% 8.26/6.04 (~until2p7(s178)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24507, 24503])).
% 8.26/6.04 tff(24509,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24510,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24511,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24510, 24509])).
% 8.26/6.04 tff(24512,plain,
% 8.26/6.04 (until2p7(s178) | (~xuntil2p8(s177))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24511, 11385, 22719])).
% 8.26/6.04 tff(24513,plain,
% 8.26/6.04 (~xuntil2p8(s177)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24512, 24508])).
% 8.26/6.04 tff(24514,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24515,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s177) | xuntil2p8(s177) | (~until2p7(s177)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24516,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s177) | xuntil2p8(s177) | (~until2p7(s177))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24515, 24514])).
% 8.26/6.04 tff(24517,plain,
% 8.26/6.04 (xuntil2p8(s177) | (~until2p7(s177))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24516, 22704, 20922])).
% 8.26/6.04 tff(24518,plain,
% 8.26/6.04 (~until2p7(s177)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24517, 24513])).
% 8.26/6.04 tff(24519,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24520,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24521,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24520, 24519])).
% 8.26/6.04 tff(24522,plain,
% 8.26/6.04 (until2p7(s177) | (~xuntil2p8(s176))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24521, 11322, 22719])).
% 8.26/6.04 tff(24523,plain,
% 8.26/6.04 (~xuntil2p8(s176)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24522, 24518])).
% 8.26/6.04 tff(24524,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24525,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s176) | xuntil2p8(s176) | (~until2p7(s176)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24526,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s176) | xuntil2p8(s176) | (~until2p7(s176))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24525, 24524])).
% 8.26/6.04 tff(24527,plain,
% 8.26/6.04 (xuntil2p8(s176) | (~until2p7(s176))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24526, 22704, 20918])).
% 8.26/6.04 tff(24528,plain,
% 8.26/6.04 (~until2p7(s176)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24527, 24523])).
% 8.26/6.04 tff(24529,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24530,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24531,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24530, 24529])).
% 8.26/6.04 tff(24532,plain,
% 8.26/6.04 (until2p7(s176) | (~xuntil2p8(s175))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24531, 11269, 22719])).
% 8.26/6.04 tff(24533,plain,
% 8.26/6.04 (~xuntil2p8(s175)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24532, 24528])).
% 8.26/6.04 tff(24534,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24535,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s175) | xuntil2p8(s175) | (~until2p7(s175)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24536,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s175) | xuntil2p8(s175) | (~until2p7(s175))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24535, 24534])).
% 8.26/6.04 tff(24537,plain,
% 8.26/6.04 (xuntil2p8(s175) | (~until2p7(s175))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24536, 22704, 20914])).
% 8.26/6.04 tff(24538,plain,
% 8.26/6.04 (~until2p7(s175)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24537, 24533])).
% 8.26/6.04 tff(24539,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24540,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24541,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 8.26/6.04 tff(24542,plain,
% 8.26/6.04 (until2p7(s175) | (~xuntil2p8(s174))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24541, 11211, 22719])).
% 8.26/6.04 tff(24543,plain,
% 8.26/6.04 (~xuntil2p8(s174)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24542, 24538])).
% 8.26/6.04 tff(24544,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24545,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s174) | xuntil2p8(s174) | (~until2p7(s174)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24546,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s174) | xuntil2p8(s174) | (~until2p7(s174))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24545, 24544])).
% 8.26/6.04 tff(24547,plain,
% 8.26/6.04 (xuntil2p8(s174) | (~until2p7(s174))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24546, 22704, 20910])).
% 8.26/6.04 tff(24548,plain,
% 8.26/6.04 (~until2p7(s174)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24547, 24543])).
% 8.26/6.04 tff(24549,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24550,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24551,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24550, 24549])).
% 8.26/6.04 tff(24552,plain,
% 8.26/6.04 (until2p7(s174) | (~xuntil2p8(s173))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24551, 11154, 22719])).
% 8.26/6.04 tff(24553,plain,
% 8.26/6.04 (~xuntil2p8(s173)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24552, 24548])).
% 8.26/6.04 tff(24554,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24555,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s173) | xuntil2p8(s173) | (~until2p7(s173)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24556,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s173) | xuntil2p8(s173) | (~until2p7(s173))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24555, 24554])).
% 8.26/6.04 tff(24557,plain,
% 8.26/6.04 (xuntil2p8(s173) | (~until2p7(s173))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24556, 22704, 20906])).
% 8.26/6.04 tff(24558,plain,
% 8.26/6.04 (~until2p7(s173)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24557, 24553])).
% 8.26/6.04 tff(24559,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24560,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24561,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24560, 24559])).
% 8.26/6.04 tff(24562,plain,
% 8.26/6.04 (until2p7(s173) | (~xuntil2p8(s172))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24561, 11098, 22719])).
% 8.26/6.04 tff(24563,plain,
% 8.26/6.04 (~xuntil2p8(s172)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24562, 24558])).
% 8.26/6.04 tff(24564,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24565,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s172) | xuntil2p8(s172) | (~until2p7(s172)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24566,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s172) | xuntil2p8(s172) | (~until2p7(s172))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24565, 24564])).
% 8.26/6.04 tff(24567,plain,
% 8.26/6.04 (xuntil2p8(s172) | (~until2p7(s172))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24566, 22704, 20902])).
% 8.26/6.04 tff(24568,plain,
% 8.26/6.04 (~until2p7(s172)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24567, 24563])).
% 8.26/6.04 tff(24569,assumption,(xuntil6(s349)), introduced(assumption)).
% 8.26/6.04 tff(24570,assumption,(~until2p7(s172)), introduced(assumption)).
% 8.26/6.04 tff(24571,assumption,(trans(s349, s172)), introduced(assumption)).
% 8.26/6.04 tff(24572,plain,
% 8.26/6.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s172) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s172)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s172)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24573,plain,
% 8.26/6.04 (((~trans(s349, s172)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s172)) <=> (until2p7(s172) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s172)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24574,plain,
% 8.26/6.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s172)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s172) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s172))))),
% 8.26/6.04 inference(monotonicity,[status(thm)],[24573])).
% 8.26/6.04 tff(24575,plain,
% 8.26/6.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s172)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s172)))),
% 8.26/6.04 inference(transitivity,[status(thm)],[24574, 24572])).
% 8.26/6.04 tff(24576,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s172)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s172))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24577,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s172))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24576, 24575])).
% 8.26/6.04 tff(24578,plain,
% 8.26/6.04 ($false),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24577, 22690, 24571, 23114, 24570, 24569])).
% 8.26/6.04 tff(24579,plain,((~trans(s349, s172)) | until2p7(s172) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.26/6.04 tff(24580,plain,
% 8.26/6.04 (~trans(s349, s172)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24579, 24568, 22676])).
% 8.26/6.04 tff(24581,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24582,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24583,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24582, 24581])).
% 8.26/6.04 tff(24584,plain,
% 8.26/6.04 (until2p7(s172) | (~xuntil2p8(s171))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24583, 11042, 22719])).
% 8.26/6.04 tff(24585,plain,
% 8.26/6.04 (~xuntil2p8(s171)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24584, 24568])).
% 8.26/6.04 tff(24586,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24587,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s171) | xuntil2p8(s171) | (~until2p7(s171)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24588,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s171) | xuntil2p8(s171) | (~until2p7(s171))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24587, 24586])).
% 8.26/6.04 tff(24589,plain,
% 8.26/6.04 (xuntil2p8(s171) | (~until2p7(s171))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24588, 22704, 20898])).
% 8.26/6.04 tff(24590,plain,
% 8.26/6.04 (~until2p7(s171)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24589, 24585])).
% 8.26/6.04 tff(24591,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24592,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24593,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24592, 24591])).
% 8.26/6.04 tff(24594,plain,
% 8.26/6.04 (until2p7(s171) | (~xuntil2p8(s170))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24593, 10969, 22719])).
% 8.26/6.04 tff(24595,plain,
% 8.26/6.04 (~xuntil2p8(s170)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24594, 24590])).
% 8.26/6.04 tff(24596,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24597,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s170) | xuntil2p8(s170) | (~until2p7(s170)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24598,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s170) | xuntil2p8(s170) | (~until2p7(s170))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24597, 24596])).
% 8.26/6.04 tff(24599,plain,
% 8.26/6.04 (xuntil2p8(s170) | (~until2p7(s170))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24598, 22704, 20894])).
% 8.26/6.04 tff(24600,plain,
% 8.26/6.04 (~until2p7(s170)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24599, 24595])).
% 8.26/6.04 tff(24601,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24602,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24603,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24602, 24601])).
% 8.26/6.04 tff(24604,plain,
% 8.26/6.04 (until2p7(s170) | (~xuntil2p8(s169))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24603, 10913, 22719])).
% 8.26/6.04 tff(24605,plain,
% 8.26/6.04 (~xuntil2p8(s169)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24604, 24600])).
% 8.26/6.04 tff(24606,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24607,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s169) | xuntil2p8(s169) | (~until2p7(s169)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24608,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s169) | xuntil2p8(s169) | (~until2p7(s169))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24607, 24606])).
% 8.26/6.04 tff(24609,plain,
% 8.26/6.04 (xuntil2p8(s169) | (~until2p7(s169))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24608, 22704, 20890])).
% 8.26/6.04 tff(24610,plain,
% 8.26/6.04 (~until2p7(s169)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24609, 24605])).
% 8.26/6.04 tff(24611,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24612,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24613,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24612, 24611])).
% 8.26/6.04 tff(24614,plain,
% 8.26/6.04 (until2p7(s169) | (~xuntil2p8(s168))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24613, 10857, 22719])).
% 8.26/6.04 tff(24615,plain,
% 8.26/6.04 (~xuntil2p8(s168)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24614, 24610])).
% 8.26/6.04 tff(24616,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24617,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s168) | xuntil2p8(s168) | (~until2p7(s168)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24618,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s168) | xuntil2p8(s168) | (~until2p7(s168))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24617, 24616])).
% 8.26/6.04 tff(24619,plain,
% 8.26/6.04 (xuntil2p8(s168) | (~until2p7(s168))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24618, 22704, 20886])).
% 8.26/6.04 tff(24620,plain,
% 8.26/6.04 (~until2p7(s168)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24619, 24615])).
% 8.26/6.04 tff(24621,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24622,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24623,plain,
% 8.26/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24622, 24621])).
% 8.26/6.04 tff(24624,plain,
% 8.26/6.04 (until2p7(s168) | (~xuntil2p8(s167))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24623, 10801, 22719])).
% 8.26/6.04 tff(24625,plain,
% 8.26/6.04 (~xuntil2p8(s167)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24624, 24620])).
% 8.26/6.04 tff(24626,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.04 tff(24627,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s167) | xuntil2p8(s167) | (~until2p7(s167)))),
% 8.26/6.04 inference(quant_inst,[status(thm)],[])).
% 8.26/6.04 tff(24628,plain,
% 8.26/6.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s167) | xuntil2p8(s167) | (~until2p7(s167))),
% 8.26/6.04 inference(modus_ponens,[status(thm)],[24627, 24626])).
% 8.26/6.04 tff(24629,plain,
% 8.26/6.04 (xuntil2p8(s167) | (~until2p7(s167))),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24628, 22704, 20882])).
% 8.26/6.04 tff(24630,plain,
% 8.26/6.04 (~until2p7(s167)),
% 8.26/6.04 inference(unit_resolution,[status(thm)],[24629, 24625])).
% 8.26/6.04 tff(24631,plain,
% 8.26/6.04 (((~![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)))),
% 8.26/6.04 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24632,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24633,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24632, 24631])).
% 8.26/6.05 tff(24634,plain,
% 8.26/6.05 (until2p7(s167) | (~xuntil2p8(s166))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24633, 10745, 22719])).
% 8.26/6.05 tff(24635,plain,
% 8.26/6.05 (~xuntil2p8(s166)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24634, 24630])).
% 8.26/6.05 tff(24636,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24637,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s166) | xuntil2p8(s166) | (~until2p7(s166)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24638,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s166) | xuntil2p8(s166) | (~until2p7(s166))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24637, 24636])).
% 8.26/6.05 tff(24639,plain,
% 8.26/6.05 (xuntil2p8(s166) | (~until2p7(s166))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24638, 22704, 20878])).
% 8.26/6.05 tff(24640,plain,
% 8.26/6.05 (~until2p7(s166)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24639, 24635])).
% 8.26/6.05 tff(24641,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24642,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24643,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24642, 24641])).
% 8.26/6.05 tff(24644,plain,
% 8.26/6.05 (until2p7(s166) | (~xuntil2p8(s165))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24643, 10689, 22719])).
% 8.26/6.05 tff(24645,plain,
% 8.26/6.05 (~xuntil2p8(s165)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24644, 24640])).
% 8.26/6.05 tff(24646,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24647,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s165) | xuntil2p8(s165) | (~until2p7(s165)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24648,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s165) | xuntil2p8(s165) | (~until2p7(s165))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24647, 24646])).
% 8.26/6.05 tff(24649,plain,
% 8.26/6.05 (xuntil2p8(s165) | (~until2p7(s165))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24648, 22704, 20874])).
% 8.26/6.05 tff(24650,plain,
% 8.26/6.05 (~until2p7(s165)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24649, 24645])).
% 8.26/6.05 tff(24651,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24652,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24653,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24652, 24651])).
% 8.26/6.05 tff(24654,plain,
% 8.26/6.05 (until2p7(s165) | (~xuntil2p8(s164))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24653, 10627, 22719])).
% 8.26/6.05 tff(24655,plain,
% 8.26/6.05 (~xuntil2p8(s164)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24654, 24650])).
% 8.26/6.05 tff(24656,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24657,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s164) | xuntil2p8(s164) | (~until2p7(s164)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24658,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s164) | xuntil2p8(s164) | (~until2p7(s164))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24657, 24656])).
% 8.26/6.05 tff(24659,plain,
% 8.26/6.05 (xuntil2p8(s164) | (~until2p7(s164))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24658, 22704, 20870])).
% 8.26/6.05 tff(24660,plain,
% 8.26/6.05 (~until2p7(s164)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24659, 24655])).
% 8.26/6.05 tff(24661,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24662,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24663,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24662, 24661])).
% 8.26/6.05 tff(24664,plain,
% 8.26/6.05 (until2p7(s164) | (~xuntil2p8(s163))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24663, 10574, 22719])).
% 8.26/6.05 tff(24665,plain,
% 8.26/6.05 (~xuntil2p8(s163)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24664, 24660])).
% 8.26/6.05 tff(24666,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24667,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s163) | xuntil2p8(s163) | (~until2p7(s163)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24668,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s163) | xuntil2p8(s163) | (~until2p7(s163))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24667, 24666])).
% 8.26/6.05 tff(24669,plain,
% 8.26/6.05 (xuntil2p8(s163) | (~until2p7(s163))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24668, 22704, 20866])).
% 8.26/6.05 tff(24670,plain,
% 8.26/6.05 (~until2p7(s163)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24669, 24665])).
% 8.26/6.05 tff(24671,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24672,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24673,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24672, 24671])).
% 8.26/6.05 tff(24674,plain,
% 8.26/6.05 (until2p7(s163) | (~xuntil2p8(s162))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24673, 10518, 22719])).
% 8.26/6.05 tff(24675,plain,
% 8.26/6.05 (~xuntil2p8(s162)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24674, 24670])).
% 8.26/6.05 tff(24676,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24677,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s162) | xuntil2p8(s162) | (~until2p7(s162)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24678,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s162) | xuntil2p8(s162) | (~until2p7(s162))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24677, 24676])).
% 8.26/6.05 tff(24679,plain,
% 8.26/6.05 (xuntil2p8(s162) | (~until2p7(s162))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24678, 22704, 20862])).
% 8.26/6.05 tff(24680,plain,
% 8.26/6.05 (~until2p7(s162)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24679, 24675])).
% 8.26/6.05 tff(24681,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24682,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24683,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24682, 24681])).
% 8.26/6.05 tff(24684,plain,
% 8.26/6.05 (until2p7(s162) | (~xuntil2p8(s161))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24683, 10456, 22719])).
% 8.26/6.05 tff(24685,plain,
% 8.26/6.05 (~xuntil2p8(s161)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24684, 24680])).
% 8.26/6.05 tff(24686,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24687,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s161) | xuntil2p8(s161) | (~until2p7(s161)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24688,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s161) | xuntil2p8(s161) | (~until2p7(s161))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24687, 24686])).
% 8.26/6.05 tff(24689,plain,
% 8.26/6.05 (xuntil2p8(s161) | (~until2p7(s161))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24688, 22704, 20858])).
% 8.26/6.05 tff(24690,plain,
% 8.26/6.05 (~until2p7(s161)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24689, 24685])).
% 8.26/6.05 tff(24691,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24692,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24693,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24692, 24691])).
% 8.26/6.05 tff(24694,plain,
% 8.26/6.05 (until2p7(s161) | (~xuntil2p8(s160))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24693, 10403, 22719])).
% 8.26/6.05 tff(24695,plain,
% 8.26/6.05 (~xuntil2p8(s160)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24694, 24690])).
% 8.26/6.05 tff(24696,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24697,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s160) | xuntil2p8(s160) | (~until2p7(s160)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24698,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s160) | xuntil2p8(s160) | (~until2p7(s160))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24697, 24696])).
% 8.26/6.05 tff(24699,plain,
% 8.26/6.05 (xuntil2p8(s160) | (~until2p7(s160))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24698, 22704, 20854])).
% 8.26/6.05 tff(24700,plain,
% 8.26/6.05 (~until2p7(s160)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24699, 24695])).
% 8.26/6.05 tff(24701,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24702,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24703,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24702, 24701])).
% 8.26/6.05 tff(24704,plain,
% 8.26/6.05 (until2p7(s160) | (~xuntil2p8(s159))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24703, 10347, 22719])).
% 8.26/6.05 tff(24705,plain,
% 8.26/6.05 (~xuntil2p8(s159)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24704, 24700])).
% 8.26/6.05 tff(24706,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24707,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s159) | xuntil2p8(s159) | (~until2p7(s159)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24708,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s159) | xuntil2p8(s159) | (~until2p7(s159))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24707, 24706])).
% 8.26/6.05 tff(24709,plain,
% 8.26/6.05 (xuntil2p8(s159) | (~until2p7(s159))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24708, 22704, 20850])).
% 8.26/6.05 tff(24710,plain,
% 8.26/6.05 (~until2p7(s159)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24709, 24705])).
% 8.26/6.05 tff(24711,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24712,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24713,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24712, 24711])).
% 8.26/6.05 tff(24714,plain,
% 8.26/6.05 (until2p7(s159) | (~xuntil2p8(s158))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24713, 10291, 22719])).
% 8.26/6.05 tff(24715,plain,
% 8.26/6.05 (~xuntil2p8(s158)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24714, 24710])).
% 8.26/6.05 tff(24716,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24717,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s158) | xuntil2p8(s158) | (~until2p7(s158)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24718,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s158) | xuntil2p8(s158) | (~until2p7(s158))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24717, 24716])).
% 8.26/6.05 tff(24719,plain,
% 8.26/6.05 (xuntil2p8(s158) | (~until2p7(s158))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24718, 22704, 20846])).
% 8.26/6.05 tff(24720,plain,
% 8.26/6.05 (~until2p7(s158)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24719, 24715])).
% 8.26/6.05 tff(24721,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24722,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24723,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24722, 24721])).
% 8.26/6.05 tff(24724,plain,
% 8.26/6.05 (until2p7(s158) | (~xuntil2p8(s157))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24723, 10235, 22719])).
% 8.26/6.05 tff(24725,plain,
% 8.26/6.05 (~xuntil2p8(s157)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24724, 24720])).
% 8.26/6.05 tff(24726,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24727,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s157) | xuntil2p8(s157) | (~until2p7(s157)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24728,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s157) | xuntil2p8(s157) | (~until2p7(s157))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24727, 24726])).
% 8.26/6.05 tff(24729,plain,
% 8.26/6.05 (xuntil2p8(s157) | (~until2p7(s157))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24728, 22704, 20842])).
% 8.26/6.05 tff(24730,plain,
% 8.26/6.05 (~until2p7(s157)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24729, 24725])).
% 8.26/6.05 tff(24731,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24732,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24733,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24732, 24731])).
% 8.26/6.05 tff(24734,plain,
% 8.26/6.05 (until2p7(s157) | (~xuntil2p8(s156))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24733, 10179, 22719])).
% 8.26/6.05 tff(24735,plain,
% 8.26/6.05 (~xuntil2p8(s156)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24734, 24730])).
% 8.26/6.05 tff(24736,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24737,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s156) | xuntil2p8(s156) | (~until2p7(s156)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24738,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s156) | xuntil2p8(s156) | (~until2p7(s156))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24737, 24736])).
% 8.26/6.05 tff(24739,plain,
% 8.26/6.05 (xuntil2p8(s156) | (~until2p7(s156))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24738, 22704, 20838])).
% 8.26/6.05 tff(24740,plain,
% 8.26/6.05 (~until2p7(s156)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24739, 24735])).
% 8.26/6.05 tff(24741,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24742,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24743,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24742, 24741])).
% 8.26/6.05 tff(24744,plain,
% 8.26/6.05 (until2p7(s156) | (~xuntil2p8(s155))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24743, 10123, 22719])).
% 8.26/6.05 tff(24745,plain,
% 8.26/6.05 (~xuntil2p8(s155)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24744, 24740])).
% 8.26/6.05 tff(24746,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24747,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s155) | xuntil2p8(s155) | (~until2p7(s155)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24748,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s155) | xuntil2p8(s155) | (~until2p7(s155))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24747, 24746])).
% 8.26/6.05 tff(24749,plain,
% 8.26/6.05 (xuntil2p8(s155) | (~until2p7(s155))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24748, 22704, 20834])).
% 8.26/6.05 tff(24750,plain,
% 8.26/6.05 (~until2p7(s155)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24749, 24745])).
% 8.26/6.05 tff(24751,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24752,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24753,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24752, 24751])).
% 8.26/6.05 tff(24754,plain,
% 8.26/6.05 (until2p7(s155) | (~xuntil2p8(s154))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24753, 10067, 22719])).
% 8.26/6.05 tff(24755,plain,
% 8.26/6.05 (~xuntil2p8(s154)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24754, 24750])).
% 8.26/6.05 tff(24756,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24757,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s154) | xuntil2p8(s154) | (~until2p7(s154)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24758,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s154) | xuntil2p8(s154) | (~until2p7(s154))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24757, 24756])).
% 8.26/6.05 tff(24759,plain,
% 8.26/6.05 (xuntil2p8(s154) | (~until2p7(s154))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24758, 22704, 20830])).
% 8.26/6.05 tff(24760,plain,
% 8.26/6.05 (~until2p7(s154)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24759, 24755])).
% 8.26/6.05 tff(24761,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24762,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24763,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24762, 24761])).
% 8.26/6.05 tff(24764,plain,
% 8.26/6.05 (until2p7(s154) | (~xuntil2p8(s153))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24763, 10011, 22719])).
% 8.26/6.05 tff(24765,plain,
% 8.26/6.05 (~xuntil2p8(s153)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24764, 24760])).
% 8.26/6.05 tff(24766,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24767,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s153) | xuntil2p8(s153) | (~until2p7(s153)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24768,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s153) | xuntil2p8(s153) | (~until2p7(s153))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24767, 24766])).
% 8.26/6.05 tff(24769,plain,
% 8.26/6.05 (xuntil2p8(s153) | (~until2p7(s153))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24768, 22704, 20826])).
% 8.26/6.05 tff(24770,plain,
% 8.26/6.05 (~until2p7(s153)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24769, 24765])).
% 8.26/6.05 tff(24771,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24772,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24773,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24772, 24771])).
% 8.26/6.05 tff(24774,plain,
% 8.26/6.05 (until2p7(s153) | (~xuntil2p8(s152))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24773, 9955, 22719])).
% 8.26/6.05 tff(24775,plain,
% 8.26/6.05 (~xuntil2p8(s152)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24774, 24770])).
% 8.26/6.05 tff(24776,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24777,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s152) | xuntil2p8(s152) | (~until2p7(s152)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24778,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s152) | xuntil2p8(s152) | (~until2p7(s152))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24777, 24776])).
% 8.26/6.05 tff(24779,plain,
% 8.26/6.05 (xuntil2p8(s152) | (~until2p7(s152))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24778, 22704, 20822])).
% 8.26/6.05 tff(24780,plain,
% 8.26/6.05 (~until2p7(s152)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24779, 24775])).
% 8.26/6.05 tff(24781,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24782,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24783,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24782, 24781])).
% 8.26/6.05 tff(24784,plain,
% 8.26/6.05 (until2p7(s152) | (~xuntil2p8(s151))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24783, 9899, 22719])).
% 8.26/6.05 tff(24785,plain,
% 8.26/6.05 (~xuntil2p8(s151)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24784, 24780])).
% 8.26/6.05 tff(24786,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24787,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s151) | xuntil2p8(s151) | (~until2p7(s151)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24788,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s151) | xuntil2p8(s151) | (~until2p7(s151))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24787, 24786])).
% 8.26/6.05 tff(24789,plain,
% 8.26/6.05 (xuntil2p8(s151) | (~until2p7(s151))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24788, 22704, 20818])).
% 8.26/6.05 tff(24790,plain,
% 8.26/6.05 (~until2p7(s151)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24789, 24785])).
% 8.26/6.05 tff(24791,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24792,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24793,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24792, 24791])).
% 8.26/6.05 tff(24794,plain,
% 8.26/6.05 (until2p7(s151) | (~xuntil2p8(s150))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24793, 176, 22719])).
% 8.26/6.05 tff(24795,plain,
% 8.26/6.05 (~xuntil2p8(s150)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24794, 24790])).
% 8.26/6.05 tff(24796,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24797,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s150) | xuntil2p8(s150) | (~until2p7(s150)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24798,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s150) | xuntil2p8(s150) | (~until2p7(s150))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24797, 24796])).
% 8.26/6.05 tff(24799,plain,
% 8.26/6.05 (xuntil2p8(s150) | (~until2p7(s150))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24798, 22704, 20814])).
% 8.26/6.05 tff(24800,plain,
% 8.26/6.05 (~until2p7(s150)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24799, 24795])).
% 8.26/6.05 tff(24801,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24802,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24803,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24802, 24801])).
% 8.26/6.05 tff(24804,plain,
% 8.26/6.05 (until2p7(s150) | (~xuntil2p8(s149))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24803, 9837, 22719])).
% 8.26/6.05 tff(24805,plain,
% 8.26/6.05 (~xuntil2p8(s149)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24804, 24800])).
% 8.26/6.05 tff(24806,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24807,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s149) | xuntil2p8(s149) | (~until2p7(s149)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24808,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s149) | xuntil2p8(s149) | (~until2p7(s149))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24807, 24806])).
% 8.26/6.05 tff(24809,plain,
% 8.26/6.05 (xuntil2p8(s149) | (~until2p7(s149))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24808, 22704, 20810])).
% 8.26/6.05 tff(24810,plain,
% 8.26/6.05 (~until2p7(s149)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24809, 24805])).
% 8.26/6.05 tff(24811,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24812,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24813,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24812, 24811])).
% 8.26/6.05 tff(24814,plain,
% 8.26/6.05 (until2p7(s149) | (~xuntil2p8(s148))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24813, 9781, 22719])).
% 8.26/6.05 tff(24815,plain,
% 8.26/6.05 (~xuntil2p8(s148)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24814, 24810])).
% 8.26/6.05 tff(24816,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24817,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s148) | xuntil2p8(s148) | (~until2p7(s148)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24818,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s148) | xuntil2p8(s148) | (~until2p7(s148))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24817, 24816])).
% 8.26/6.05 tff(24819,plain,
% 8.26/6.05 (xuntil2p8(s148) | (~until2p7(s148))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24818, 22704, 20806])).
% 8.26/6.05 tff(24820,plain,
% 8.26/6.05 (~until2p7(s148)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24819, 24815])).
% 8.26/6.05 tff(24821,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24822,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24823,plain,
% 8.26/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147))),
% 8.26/6.05 inference(modus_ponens,[status(thm)],[24822, 24821])).
% 8.26/6.05 tff(24824,plain,
% 8.26/6.05 (until2p7(s148) | (~xuntil2p8(s147))),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24823, 9725, 22719])).
% 8.26/6.05 tff(24825,plain,
% 8.26/6.05 (~xuntil2p8(s147)),
% 8.26/6.05 inference(unit_resolution,[status(thm)],[24824, 24820])).
% 8.26/6.05 tff(24826,plain,
% 8.26/6.05 (((~![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)))),
% 8.26/6.05 inference(rewrite,[status(thm)],[])).
% 8.26/6.05 tff(24827,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s147) | xuntil2p8(s147) | (~until2p7(s147)))),
% 8.26/6.05 inference(quant_inst,[status(thm)],[])).
% 8.26/6.05 tff(24828,plain,
% 8.26/6.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s147) | xuntil2p8(s147) | (~until2p7(s147))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24827, 24826])).
% 8.26/6.06 tff(24829,plain,
% 8.26/6.06 (xuntil2p8(s147) | (~until2p7(s147))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24828, 22704, 20802])).
% 8.26/6.06 tff(24830,plain,
% 8.26/6.06 (~until2p7(s147)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24829, 24825])).
% 8.26/6.06 tff(24831,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24832,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24833,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24832, 24831])).
% 8.26/6.06 tff(24834,plain,
% 8.26/6.06 (until2p7(s147) | (~xuntil2p8(s146))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24833, 9669, 22719])).
% 8.26/6.06 tff(24835,plain,
% 8.26/6.06 (~xuntil2p8(s146)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24834, 24830])).
% 8.26/6.06 tff(24836,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24837,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s146) | xuntil2p8(s146) | (~until2p7(s146)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24838,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s146) | xuntil2p8(s146) | (~until2p7(s146))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24837, 24836])).
% 8.26/6.06 tff(24839,plain,
% 8.26/6.06 (xuntil2p8(s146) | (~until2p7(s146))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24838, 22704, 20798])).
% 8.26/6.06 tff(24840,plain,
% 8.26/6.06 (~until2p7(s146)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24839, 24835])).
% 8.26/6.06 tff(24841,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24842,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24843,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24842, 24841])).
% 8.26/6.06 tff(24844,plain,
% 8.26/6.06 (until2p7(s146) | (~xuntil2p8(s145))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24843, 9613, 22719])).
% 8.26/6.06 tff(24845,plain,
% 8.26/6.06 (~xuntil2p8(s145)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24844, 24840])).
% 8.26/6.06 tff(24846,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24847,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s145) | xuntil2p8(s145) | (~until2p7(s145)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24848,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s145) | xuntil2p8(s145) | (~until2p7(s145))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24847, 24846])).
% 8.26/6.06 tff(24849,plain,
% 8.26/6.06 (xuntil2p8(s145) | (~until2p7(s145))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24848, 22704, 20794])).
% 8.26/6.06 tff(24850,plain,
% 8.26/6.06 (~until2p7(s145)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24849, 24845])).
% 8.26/6.06 tff(24851,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24852,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24853,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24852, 24851])).
% 8.26/6.06 tff(24854,plain,
% 8.26/6.06 (until2p7(s145) | (~xuntil2p8(s144))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24853, 9557, 22719])).
% 8.26/6.06 tff(24855,plain,
% 8.26/6.06 (~xuntil2p8(s144)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24854, 24850])).
% 8.26/6.06 tff(24856,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24857,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s144) | xuntil2p8(s144) | (~until2p7(s144)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24858,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s144) | xuntil2p8(s144) | (~until2p7(s144))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24857, 24856])).
% 8.26/6.06 tff(24859,plain,
% 8.26/6.06 (xuntil2p8(s144) | (~until2p7(s144))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24858, 22704, 20790])).
% 8.26/6.06 tff(24860,plain,
% 8.26/6.06 (~until2p7(s144)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24859, 24855])).
% 8.26/6.06 tff(24861,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24862,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24863,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24862, 24861])).
% 8.26/6.06 tff(24864,plain,
% 8.26/6.06 (until2p7(s144) | (~xuntil2p8(s143))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24863, 9501, 22719])).
% 8.26/6.06 tff(24865,plain,
% 8.26/6.06 (~xuntil2p8(s143)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24864, 24860])).
% 8.26/6.06 tff(24866,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24867,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s143) | xuntil2p8(s143) | (~until2p7(s143)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24868,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s143) | xuntil2p8(s143) | (~until2p7(s143))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24867, 24866])).
% 8.26/6.06 tff(24869,plain,
% 8.26/6.06 (xuntil2p8(s143) | (~until2p7(s143))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24868, 22704, 20786])).
% 8.26/6.06 tff(24870,plain,
% 8.26/6.06 (~until2p7(s143)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24869, 24865])).
% 8.26/6.06 tff(24871,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24872,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24873,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24872, 24871])).
% 8.26/6.06 tff(24874,plain,
% 8.26/6.06 (until2p7(s143) | (~xuntil2p8(s142))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24873, 9445, 22719])).
% 8.26/6.06 tff(24875,plain,
% 8.26/6.06 (~xuntil2p8(s142)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24874, 24870])).
% 8.26/6.06 tff(24876,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24877,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s142) | xuntil2p8(s142) | (~until2p7(s142)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24878,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s142) | xuntil2p8(s142) | (~until2p7(s142))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24877, 24876])).
% 8.26/6.06 tff(24879,plain,
% 8.26/6.06 (xuntil2p8(s142) | (~until2p7(s142))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24878, 22704, 20782])).
% 8.26/6.06 tff(24880,plain,
% 8.26/6.06 (~until2p7(s142)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24879, 24875])).
% 8.26/6.06 tff(24881,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24882,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24883,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24882, 24881])).
% 8.26/6.06 tff(24884,plain,
% 8.26/6.06 (until2p7(s142) | (~xuntil2p8(s141))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24883, 9389, 22719])).
% 8.26/6.06 tff(24885,plain,
% 8.26/6.06 (~xuntil2p8(s141)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24884, 24880])).
% 8.26/6.06 tff(24886,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24887,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s141) | xuntil2p8(s141) | (~until2p7(s141)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24888,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s141) | xuntil2p8(s141) | (~until2p7(s141))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24887, 24886])).
% 8.26/6.06 tff(24889,plain,
% 8.26/6.06 (xuntil2p8(s141) | (~until2p7(s141))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24888, 22704, 20778])).
% 8.26/6.06 tff(24890,plain,
% 8.26/6.06 (~until2p7(s141)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24889, 24885])).
% 8.26/6.06 tff(24891,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24892,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24893,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 8.26/6.06 tff(24894,plain,
% 8.26/6.06 (until2p7(s141) | (~xuntil2p8(s140))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24893, 9333, 22719])).
% 8.26/6.06 tff(24895,plain,
% 8.26/6.06 (~xuntil2p8(s140)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24894, 24890])).
% 8.26/6.06 tff(24896,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24897,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s140) | xuntil2p8(s140) | (~until2p7(s140)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24898,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s140) | xuntil2p8(s140) | (~until2p7(s140))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24897, 24896])).
% 8.26/6.06 tff(24899,plain,
% 8.26/6.06 (xuntil2p8(s140) | (~until2p7(s140))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24898, 22704, 20774])).
% 8.26/6.06 tff(24900,plain,
% 8.26/6.06 (~until2p7(s140)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24899, 24895])).
% 8.26/6.06 tff(24901,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24902,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24903,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24902, 24901])).
% 8.26/6.06 tff(24904,plain,
% 8.26/6.06 (until2p7(s140) | (~xuntil2p8(s139))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24903, 9277, 22719])).
% 8.26/6.06 tff(24905,plain,
% 8.26/6.06 (~xuntil2p8(s139)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24904, 24900])).
% 8.26/6.06 tff(24906,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24907,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s139) | xuntil2p8(s139) | (~until2p7(s139)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24908,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s139) | xuntil2p8(s139) | (~until2p7(s139))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24907, 24906])).
% 8.26/6.06 tff(24909,plain,
% 8.26/6.06 (xuntil2p8(s139) | (~until2p7(s139))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24908, 22704, 20770])).
% 8.26/6.06 tff(24910,plain,
% 8.26/6.06 (~until2p7(s139)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24909, 24905])).
% 8.26/6.06 tff(24911,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24912,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24913,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24912, 24911])).
% 8.26/6.06 tff(24914,plain,
% 8.26/6.06 (until2p7(s139) | (~xuntil2p8(s138))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24913, 9221, 22719])).
% 8.26/6.06 tff(24915,plain,
% 8.26/6.06 (~xuntil2p8(s138)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24914, 24910])).
% 8.26/6.06 tff(24916,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24917,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s138) | xuntil2p8(s138) | (~until2p7(s138)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24918,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s138) | xuntil2p8(s138) | (~until2p7(s138))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24917, 24916])).
% 8.26/6.06 tff(24919,plain,
% 8.26/6.06 (xuntil2p8(s138) | (~until2p7(s138))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24918, 22704, 20766])).
% 8.26/6.06 tff(24920,plain,
% 8.26/6.06 (~until2p7(s138)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24919, 24915])).
% 8.26/6.06 tff(24921,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24922,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24923,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24922, 24921])).
% 8.26/6.06 tff(24924,plain,
% 8.26/6.06 (until2p7(s138) | (~xuntil2p8(s137))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24923, 9165, 22719])).
% 8.26/6.06 tff(24925,plain,
% 8.26/6.06 (~xuntil2p8(s137)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24924, 24920])).
% 8.26/6.06 tff(24926,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24927,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s137) | xuntil2p8(s137) | (~until2p7(s137)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24928,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s137) | xuntil2p8(s137) | (~until2p7(s137))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24927, 24926])).
% 8.26/6.06 tff(24929,plain,
% 8.26/6.06 (xuntil2p8(s137) | (~until2p7(s137))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24928, 22704, 20762])).
% 8.26/6.06 tff(24930,plain,
% 8.26/6.06 (~until2p7(s137)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24929, 24925])).
% 8.26/6.06 tff(24931,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24932,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24933,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24932, 24931])).
% 8.26/6.06 tff(24934,plain,
% 8.26/6.06 (until2p7(s137) | (~xuntil2p8(s136))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24933, 9092, 22719])).
% 8.26/6.06 tff(24935,plain,
% 8.26/6.06 (~xuntil2p8(s136)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24934, 24930])).
% 8.26/6.06 tff(24936,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24937,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s136) | xuntil2p8(s136) | (~until2p7(s136)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24938,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s136) | xuntil2p8(s136) | (~until2p7(s136))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24937, 24936])).
% 8.26/6.06 tff(24939,plain,
% 8.26/6.06 (xuntil2p8(s136) | (~until2p7(s136))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24938, 22704, 20758])).
% 8.26/6.06 tff(24940,plain,
% 8.26/6.06 (~until2p7(s136)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24939, 24935])).
% 8.26/6.06 tff(24941,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24942,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24943,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24942, 24941])).
% 8.26/6.06 tff(24944,plain,
% 8.26/6.06 (until2p7(s136) | (~xuntil2p8(s135))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24943, 9036, 22719])).
% 8.26/6.06 tff(24945,plain,
% 8.26/6.06 (~xuntil2p8(s135)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24944, 24940])).
% 8.26/6.06 tff(24946,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24947,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s135) | xuntil2p8(s135) | (~until2p7(s135)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24948,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s135) | xuntil2p8(s135) | (~until2p7(s135))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24947, 24946])).
% 8.26/6.06 tff(24949,plain,
% 8.26/6.06 (xuntil2p8(s135) | (~until2p7(s135))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24948, 22704, 20754])).
% 8.26/6.06 tff(24950,plain,
% 8.26/6.06 (~until2p7(s135)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24949, 24945])).
% 8.26/6.06 tff(24951,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24952,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24953,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24952, 24951])).
% 8.26/6.06 tff(24954,plain,
% 8.26/6.06 (until2p7(s135) | (~xuntil2p8(s134))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24953, 8980, 22719])).
% 8.26/6.06 tff(24955,plain,
% 8.26/6.06 (~xuntil2p8(s134)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24954, 24950])).
% 8.26/6.06 tff(24956,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24957,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s134) | xuntil2p8(s134) | (~until2p7(s134)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24958,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s134) | xuntil2p8(s134) | (~until2p7(s134))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24957, 24956])).
% 8.26/6.06 tff(24959,plain,
% 8.26/6.06 (xuntil2p8(s134) | (~until2p7(s134))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24958, 22704, 20750])).
% 8.26/6.06 tff(24960,plain,
% 8.26/6.06 (~until2p7(s134)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24959, 24955])).
% 8.26/6.06 tff(24961,assumption,(~until2p7(s134)), introduced(assumption)).
% 8.26/6.06 tff(24962,assumption,(trans(s349, s134)), introduced(assumption)).
% 8.26/6.06 tff(24963,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s134) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s134)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s134)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24964,plain,
% 8.26/6.06 (((~trans(s349, s134)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s134)) <=> (until2p7(s134) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s134)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24965,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s134)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s134) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s134))))),
% 8.26/6.06 inference(monotonicity,[status(thm)],[24964])).
% 8.26/6.06 tff(24966,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s134)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s134)))),
% 8.26/6.06 inference(transitivity,[status(thm)],[24965, 24963])).
% 8.26/6.06 tff(24967,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s134)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s134))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24968,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s134))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24967, 24966])).
% 8.26/6.06 tff(24969,plain,
% 8.26/6.06 ($false),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24968, 22690, 24962, 23114, 24961, 24569])).
% 8.26/6.06 tff(24970,plain,((~trans(s349, s134)) | until2p7(s134) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.26/6.06 tff(24971,plain,
% 8.26/6.06 (~trans(s349, s134)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24970, 24960, 22676])).
% 8.26/6.06 tff(24972,assumption,(~until2p7(s229)), introduced(assumption)).
% 8.26/6.06 tff(24973,assumption,(trans(s349, s229)), introduced(assumption)).
% 8.26/6.06 tff(24974,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s229) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s229)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s229) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s229)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24975,plain,
% 8.26/6.06 (((~trans(s349, s229)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s229)) <=> (until2p7(s229) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s229)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24976,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s229)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s229) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s229))))),
% 8.26/6.06 inference(monotonicity,[status(thm)],[24975])).
% 8.26/6.06 tff(24977,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s229)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s229) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s229)))),
% 8.26/6.06 inference(transitivity,[status(thm)],[24976, 24974])).
% 8.26/6.06 tff(24978,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s229)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s229))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24979,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s229) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s229))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24978, 24977])).
% 8.26/6.06 tff(24980,plain,
% 8.26/6.06 ($false),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24979, 22690, 24973, 23114, 24972, 24569])).
% 8.26/6.06 tff(24981,plain,((~trans(s349, s229)) | until2p7(s229) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.26/6.06 tff(24982,plain,
% 8.26/6.06 (~trans(s349, s229)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24981, 23998, 22676])).
% 8.26/6.06 tff(24983,assumption,(~until2p7(s160)), introduced(assumption)).
% 8.26/6.06 tff(24984,assumption,(trans(s349, s160)), introduced(assumption)).
% 8.26/6.06 tff(24985,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s160) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s160)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s160)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24986,plain,
% 8.26/6.06 (((~trans(s349, s160)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s160)) <=> (until2p7(s160) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s160)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24987,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s160)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s160) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s160))))),
% 8.26/6.06 inference(monotonicity,[status(thm)],[24986])).
% 8.26/6.06 tff(24988,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s160)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s160)))),
% 8.26/6.06 inference(transitivity,[status(thm)],[24987, 24985])).
% 8.26/6.06 tff(24989,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s160)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s160))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(24990,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s160))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[24989, 24988])).
% 8.26/6.06 tff(24991,plain,
% 8.26/6.06 ($false),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24990, 22690, 24984, 23114, 24983, 24569])).
% 8.26/6.06 tff(24992,plain,((~trans(s349, s160)) | until2p7(s160) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.26/6.06 tff(24993,plain,
% 8.26/6.06 (~trans(s349, s160)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[24992, 24700, 22676])).
% 8.26/6.06 tff(24994,assumption,(~until2p7(s213)), introduced(assumption)).
% 8.26/6.06 tff(24995,assumption,(trans(s349, s213)), introduced(assumption)).
% 8.26/6.06 tff(24996,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s213) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s213)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s213) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s213)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24997,plain,
% 8.26/6.06 (((~trans(s349, s213)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s213)) <=> (until2p7(s213) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s213)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(24998,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s213)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s213) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s213))))),
% 8.26/6.06 inference(monotonicity,[status(thm)],[24997])).
% 8.26/6.06 tff(24999,plain,
% 8.26/6.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s213)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s213) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s213)))),
% 8.26/6.06 inference(transitivity,[status(thm)],[24998, 24996])).
% 8.26/6.06 tff(25000,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s213)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s213))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(25001,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s213) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s213))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[25000, 24999])).
% 8.26/6.06 tff(25002,plain,
% 8.26/6.06 ($false),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[25001, 22690, 24995, 23114, 24994, 24569])).
% 8.26/6.06 tff(25003,plain,((~trans(s349, s213)) | until2p7(s213) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.26/6.06 tff(25004,plain,
% 8.26/6.06 (~trans(s349, s213)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[25003, 24158, 22676])).
% 8.26/6.06 tff(25005,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(25006,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(25007,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[25006, 25005])).
% 8.26/6.06 tff(25008,plain,
% 8.26/6.06 (until2p7(s134) | (~xuntil2p8(s133))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[25007, 8924, 22719])).
% 8.26/6.06 tff(25009,plain,
% 8.26/6.06 (~xuntil2p8(s133)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[25008, 24960])).
% 8.26/6.06 tff(25010,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(25011,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s133) | xuntil2p8(s133) | (~until2p7(s133)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(25012,plain,
% 8.26/6.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s133) | xuntil2p8(s133) | (~until2p7(s133))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[25011, 25010])).
% 8.26/6.06 tff(25013,plain,
% 8.26/6.06 (xuntil2p8(s133) | (~until2p7(s133))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[25012, 22704, 20746])).
% 8.26/6.06 tff(25014,plain,
% 8.26/6.06 (~until2p7(s133)),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[25013, 25009])).
% 8.26/6.06 tff(25015,plain,
% 8.26/6.06 (((~![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)))),
% 8.26/6.06 inference(rewrite,[status(thm)],[])).
% 8.26/6.06 tff(25016,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132)))),
% 8.26/6.06 inference(quant_inst,[status(thm)],[])).
% 8.26/6.06 tff(25017,plain,
% 8.26/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132))),
% 8.26/6.06 inference(modus_ponens,[status(thm)],[25016, 25015])).
% 8.26/6.06 tff(25018,plain,
% 8.26/6.06 (until2p7(s133) | (~xuntil2p8(s132))),
% 8.26/6.06 inference(unit_resolution,[status(thm)],[25017, 8868, 22719])).
% 8.26/6.07 tff(25019,plain,
% 8.26/6.07 (~xuntil2p8(s132)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25018, 25014])).
% 8.26/6.07 tff(25020,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25021,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s132) | xuntil2p8(s132) | (~until2p7(s132)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25022,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s132) | xuntil2p8(s132) | (~until2p7(s132))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25021, 25020])).
% 8.26/6.07 tff(25023,plain,
% 8.26/6.07 (xuntil2p8(s132) | (~until2p7(s132))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25022, 22704, 20742])).
% 8.26/6.07 tff(25024,plain,
% 8.26/6.07 (~until2p7(s132)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25023, 25019])).
% 8.26/6.07 tff(25025,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25026,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25027,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25026, 25025])).
% 8.26/6.07 tff(25028,plain,
% 8.26/6.07 (until2p7(s132) | (~xuntil2p8(s131))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25027, 8812, 22719])).
% 8.26/6.07 tff(25029,plain,
% 8.26/6.07 (~xuntil2p8(s131)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25028, 25024])).
% 8.26/6.07 tff(25030,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25031,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s131) | xuntil2p8(s131) | (~until2p7(s131)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25032,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s131) | xuntil2p8(s131) | (~until2p7(s131))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25031, 25030])).
% 8.26/6.07 tff(25033,plain,
% 8.26/6.07 (xuntil2p8(s131) | (~until2p7(s131))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25032, 22704, 20738])).
% 8.26/6.07 tff(25034,plain,
% 8.26/6.07 (~until2p7(s131)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25033, 25029])).
% 8.26/6.07 tff(25035,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25036,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25037,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25036, 25035])).
% 8.26/6.07 tff(25038,plain,
% 8.26/6.07 (until2p7(s131) | (~xuntil2p8(s130))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25037, 8756, 22719])).
% 8.26/6.07 tff(25039,plain,
% 8.26/6.07 (~xuntil2p8(s130)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25038, 25034])).
% 8.26/6.07 tff(25040,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25041,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s130) | xuntil2p8(s130) | (~until2p7(s130)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25042,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s130) | xuntil2p8(s130) | (~until2p7(s130))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25041, 25040])).
% 8.26/6.07 tff(25043,plain,
% 8.26/6.07 (xuntil2p8(s130) | (~until2p7(s130))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25042, 22704, 20734])).
% 8.26/6.07 tff(25044,plain,
% 8.26/6.07 (~until2p7(s130)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25043, 25039])).
% 8.26/6.07 tff(25045,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25046,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25047,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25046, 25045])).
% 8.26/6.07 tff(25048,plain,
% 8.26/6.07 (until2p7(s130) | (~xuntil2p8(s129))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25047, 8700, 22719])).
% 8.26/6.07 tff(25049,plain,
% 8.26/6.07 (~xuntil2p8(s129)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25048, 25044])).
% 8.26/6.07 tff(25050,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25051,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s129) | xuntil2p8(s129) | (~until2p7(s129)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25052,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s129) | xuntil2p8(s129) | (~until2p7(s129))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25051, 25050])).
% 8.26/6.07 tff(25053,plain,
% 8.26/6.07 (xuntil2p8(s129) | (~until2p7(s129))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25052, 22704, 20730])).
% 8.26/6.07 tff(25054,plain,
% 8.26/6.07 (~until2p7(s129)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25053, 25049])).
% 8.26/6.07 tff(25055,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25056,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25057,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25056, 25055])).
% 8.26/6.07 tff(25058,plain,
% 8.26/6.07 (until2p7(s129) | (~xuntil2p8(s128))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25057, 8644, 22719])).
% 8.26/6.07 tff(25059,plain,
% 8.26/6.07 (~xuntil2p8(s128)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25058, 25054])).
% 8.26/6.07 tff(25060,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25061,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s128) | xuntil2p8(s128) | (~until2p7(s128)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25062,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s128) | xuntil2p8(s128) | (~until2p7(s128))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25061, 25060])).
% 8.26/6.07 tff(25063,plain,
% 8.26/6.07 (xuntil2p8(s128) | (~until2p7(s128))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25062, 22704, 20726])).
% 8.26/6.07 tff(25064,plain,
% 8.26/6.07 (~until2p7(s128)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25063, 25059])).
% 8.26/6.07 tff(25065,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25066,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25067,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25066, 25065])).
% 8.26/6.07 tff(25068,plain,
% 8.26/6.07 (until2p7(s128) | (~xuntil2p8(s127))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25067, 8588, 22719])).
% 8.26/6.07 tff(25069,plain,
% 8.26/6.07 (~xuntil2p8(s127)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25068, 25064])).
% 8.26/6.07 tff(25070,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25071,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s127) | xuntil2p8(s127) | (~until2p7(s127)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25072,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s127) | xuntil2p8(s127) | (~until2p7(s127))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25071, 25070])).
% 8.26/6.07 tff(25073,plain,
% 8.26/6.07 (xuntil2p8(s127) | (~until2p7(s127))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25072, 22704, 20722])).
% 8.26/6.07 tff(25074,plain,
% 8.26/6.07 (~until2p7(s127)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25073, 25069])).
% 8.26/6.07 tff(25075,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25076,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25077,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25076, 25075])).
% 8.26/6.07 tff(25078,plain,
% 8.26/6.07 (until2p7(s127) | (~xuntil2p8(s126))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25077, 8532, 22719])).
% 8.26/6.07 tff(25079,plain,
% 8.26/6.07 (~xuntil2p8(s126)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25078, 25074])).
% 8.26/6.07 tff(25080,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25081,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s126) | xuntil2p8(s126) | (~until2p7(s126)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25082,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s126) | xuntil2p8(s126) | (~until2p7(s126))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25081, 25080])).
% 8.26/6.07 tff(25083,plain,
% 8.26/6.07 (xuntil2p8(s126) | (~until2p7(s126))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25082, 22704, 20718])).
% 8.26/6.07 tff(25084,plain,
% 8.26/6.07 (~until2p7(s126)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25083, 25079])).
% 8.26/6.07 tff(25085,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25086,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25087,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25086, 25085])).
% 8.26/6.07 tff(25088,plain,
% 8.26/6.07 (until2p7(s126) | (~xuntil2p8(s125))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25087, 8476, 22719])).
% 8.26/6.07 tff(25089,plain,
% 8.26/6.07 (~xuntil2p8(s125)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25088, 25084])).
% 8.26/6.07 tff(25090,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25091,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s125) | xuntil2p8(s125) | (~until2p7(s125)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25092,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s125) | xuntil2p8(s125) | (~until2p7(s125))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25091, 25090])).
% 8.26/6.07 tff(25093,plain,
% 8.26/6.07 (xuntil2p8(s125) | (~until2p7(s125))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25092, 22704, 20714])).
% 8.26/6.07 tff(25094,plain,
% 8.26/6.07 (~until2p7(s125)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25093, 25089])).
% 8.26/6.07 tff(25095,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25096,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25097,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25096, 25095])).
% 8.26/6.07 tff(25098,plain,
% 8.26/6.07 (until2p7(s125) | (~xuntil2p8(s124))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25097, 8420, 22719])).
% 8.26/6.07 tff(25099,plain,
% 8.26/6.07 (~xuntil2p8(s124)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25098, 25094])).
% 8.26/6.07 tff(25100,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25101,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s124) | xuntil2p8(s124) | (~until2p7(s124)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25102,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s124) | xuntil2p8(s124) | (~until2p7(s124))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25101, 25100])).
% 8.26/6.07 tff(25103,plain,
% 8.26/6.07 (xuntil2p8(s124) | (~until2p7(s124))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25102, 22704, 20710])).
% 8.26/6.07 tff(25104,plain,
% 8.26/6.07 (~until2p7(s124)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25103, 25099])).
% 8.26/6.07 tff(25105,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25106,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25107,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25106, 25105])).
% 8.26/6.07 tff(25108,plain,
% 8.26/6.07 (until2p7(s124) | (~xuntil2p8(s123))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25107, 8364, 22719])).
% 8.26/6.07 tff(25109,plain,
% 8.26/6.07 (~xuntil2p8(s123)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25108, 25104])).
% 8.26/6.07 tff(25110,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25111,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s123) | xuntil2p8(s123) | (~until2p7(s123)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25112,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s123) | xuntil2p8(s123) | (~until2p7(s123))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25111, 25110])).
% 8.26/6.07 tff(25113,plain,
% 8.26/6.07 (xuntil2p8(s123) | (~until2p7(s123))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25112, 22704, 20706])).
% 8.26/6.07 tff(25114,plain,
% 8.26/6.07 (~until2p7(s123)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25113, 25109])).
% 8.26/6.07 tff(25115,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25116,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25117,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25116, 25115])).
% 8.26/6.07 tff(25118,plain,
% 8.26/6.07 (until2p7(s123) | (~xuntil2p8(s122))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25117, 8308, 22719])).
% 8.26/6.07 tff(25119,plain,
% 8.26/6.07 (~xuntil2p8(s122)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25118, 25114])).
% 8.26/6.07 tff(25120,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25121,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s122) | xuntil2p8(s122) | (~until2p7(s122)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25122,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s122) | xuntil2p8(s122) | (~until2p7(s122))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25121, 25120])).
% 8.26/6.07 tff(25123,plain,
% 8.26/6.07 (xuntil2p8(s122) | (~until2p7(s122))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25122, 22704, 20702])).
% 8.26/6.07 tff(25124,plain,
% 8.26/6.07 (~until2p7(s122)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25123, 25119])).
% 8.26/6.07 tff(25125,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25126,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25127,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25126, 25125])).
% 8.26/6.07 tff(25128,plain,
% 8.26/6.07 (until2p7(s122) | (~xuntil2p8(s121))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25127, 8252, 22719])).
% 8.26/6.07 tff(25129,plain,
% 8.26/6.07 (~xuntil2p8(s121)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25128, 25124])).
% 8.26/6.07 tff(25130,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25131,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s121) | xuntil2p8(s121) | (~until2p7(s121)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25132,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s121) | xuntil2p8(s121) | (~until2p7(s121))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25131, 25130])).
% 8.26/6.07 tff(25133,plain,
% 8.26/6.07 (xuntil2p8(s121) | (~until2p7(s121))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25132, 22704, 20698])).
% 8.26/6.07 tff(25134,plain,
% 8.26/6.07 (~until2p7(s121)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25133, 25129])).
% 8.26/6.07 tff(25135,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25136,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25137,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25136, 25135])).
% 8.26/6.07 tff(25138,plain,
% 8.26/6.07 (until2p7(s121) | (~xuntil2p8(s120))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25137, 8196, 22719])).
% 8.26/6.07 tff(25139,plain,
% 8.26/6.07 (~xuntil2p8(s120)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25138, 25134])).
% 8.26/6.07 tff(25140,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25141,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s120) | xuntil2p8(s120) | (~until2p7(s120)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25142,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s120) | xuntil2p8(s120) | (~until2p7(s120))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25141, 25140])).
% 8.26/6.07 tff(25143,plain,
% 8.26/6.07 (xuntil2p8(s120) | (~until2p7(s120))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25142, 22704, 20694])).
% 8.26/6.07 tff(25144,plain,
% 8.26/6.07 (~until2p7(s120)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25143, 25139])).
% 8.26/6.07 tff(25145,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25146,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25147,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25146, 25145])).
% 8.26/6.07 tff(25148,plain,
% 8.26/6.07 (until2p7(s120) | (~xuntil2p8(s119))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25147, 8140, 22719])).
% 8.26/6.07 tff(25149,plain,
% 8.26/6.07 (~xuntil2p8(s119)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25148, 25144])).
% 8.26/6.07 tff(25150,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25151,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s119) | xuntil2p8(s119) | (~until2p7(s119)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25152,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s119) | xuntil2p8(s119) | (~until2p7(s119))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25151, 25150])).
% 8.26/6.07 tff(25153,plain,
% 8.26/6.07 (xuntil2p8(s119) | (~until2p7(s119))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25152, 22704, 20690])).
% 8.26/6.07 tff(25154,plain,
% 8.26/6.07 (~until2p7(s119)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25153, 25149])).
% 8.26/6.07 tff(25155,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25156,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25157,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25156, 25155])).
% 8.26/6.07 tff(25158,plain,
% 8.26/6.07 (until2p7(s119) | (~xuntil2p8(s118))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25157, 8084, 22719])).
% 8.26/6.07 tff(25159,plain,
% 8.26/6.07 (~xuntil2p8(s118)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25158, 25154])).
% 8.26/6.07 tff(25160,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25161,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s118) | xuntil2p8(s118) | (~until2p7(s118)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25162,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s118) | xuntil2p8(s118) | (~until2p7(s118))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25161, 25160])).
% 8.26/6.07 tff(25163,plain,
% 8.26/6.07 (xuntil2p8(s118) | (~until2p7(s118))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25162, 22704, 20686])).
% 8.26/6.07 tff(25164,plain,
% 8.26/6.07 (~until2p7(s118)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25163, 25159])).
% 8.26/6.07 tff(25165,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25166,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25167,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25166, 25165])).
% 8.26/6.07 tff(25168,plain,
% 8.26/6.07 (until2p7(s118) | (~xuntil2p8(s117))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25167, 8028, 22719])).
% 8.26/6.07 tff(25169,plain,
% 8.26/6.07 (~xuntil2p8(s117)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25168, 25164])).
% 8.26/6.07 tff(25170,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25171,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s117) | xuntil2p8(s117) | (~until2p7(s117)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25172,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s117) | xuntil2p8(s117) | (~until2p7(s117))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25171, 25170])).
% 8.26/6.07 tff(25173,plain,
% 8.26/6.07 (xuntil2p8(s117) | (~until2p7(s117))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25172, 22704, 20682])).
% 8.26/6.07 tff(25174,plain,
% 8.26/6.07 (~until2p7(s117)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25173, 25169])).
% 8.26/6.07 tff(25175,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25176,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25177,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25176, 25175])).
% 8.26/6.07 tff(25178,plain,
% 8.26/6.07 (until2p7(s117) | (~xuntil2p8(s116))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25177, 7972, 22719])).
% 8.26/6.07 tff(25179,plain,
% 8.26/6.07 (~xuntil2p8(s116)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25178, 25174])).
% 8.26/6.07 tff(25180,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25181,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s116) | xuntil2p8(s116) | (~until2p7(s116)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25182,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s116) | xuntil2p8(s116) | (~until2p7(s116))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25181, 25180])).
% 8.26/6.07 tff(25183,plain,
% 8.26/6.07 (xuntil2p8(s116) | (~until2p7(s116))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25182, 22704, 20678])).
% 8.26/6.07 tff(25184,plain,
% 8.26/6.07 (~until2p7(s116)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25183, 25179])).
% 8.26/6.07 tff(25185,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25186,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25187,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25186, 25185])).
% 8.26/6.07 tff(25188,plain,
% 8.26/6.07 (until2p7(s116) | (~xuntil2p8(s115))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25187, 7916, 22719])).
% 8.26/6.07 tff(25189,plain,
% 8.26/6.07 (~xuntil2p8(s115)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25188, 25184])).
% 8.26/6.07 tff(25190,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25191,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s115) | xuntil2p8(s115) | (~until2p7(s115)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25192,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s115) | xuntil2p8(s115) | (~until2p7(s115))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25191, 25190])).
% 8.26/6.07 tff(25193,plain,
% 8.26/6.07 (xuntil2p8(s115) | (~until2p7(s115))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25192, 22704, 20674])).
% 8.26/6.07 tff(25194,plain,
% 8.26/6.07 (~until2p7(s115)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25193, 25189])).
% 8.26/6.07 tff(25195,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25196,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25197,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25196, 25195])).
% 8.26/6.07 tff(25198,plain,
% 8.26/6.07 (until2p7(s115) | (~xuntil2p8(s114))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25197, 7860, 22719])).
% 8.26/6.07 tff(25199,plain,
% 8.26/6.07 (~xuntil2p8(s114)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25198, 25194])).
% 8.26/6.07 tff(25200,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25201,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s114) | xuntil2p8(s114) | (~until2p7(s114)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25202,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s114) | xuntil2p8(s114) | (~until2p7(s114))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25201, 25200])).
% 8.26/6.07 tff(25203,plain,
% 8.26/6.07 (xuntil2p8(s114) | (~until2p7(s114))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25202, 22704, 20670])).
% 8.26/6.07 tff(25204,plain,
% 8.26/6.07 (~until2p7(s114)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25203, 25199])).
% 8.26/6.07 tff(25205,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25206,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25207,plain,
% 8.26/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25206, 25205])).
% 8.26/6.07 tff(25208,plain,
% 8.26/6.07 (until2p7(s114) | (~xuntil2p8(s113))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25207, 7804, 22719])).
% 8.26/6.07 tff(25209,plain,
% 8.26/6.07 (~xuntil2p8(s113)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25208, 25204])).
% 8.26/6.07 tff(25210,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.07 inference(rewrite,[status(thm)],[])).
% 8.26/6.07 tff(25211,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s113) | xuntil2p8(s113) | (~until2p7(s113)))),
% 8.26/6.07 inference(quant_inst,[status(thm)],[])).
% 8.26/6.07 tff(25212,plain,
% 8.26/6.07 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s113) | xuntil2p8(s113) | (~until2p7(s113))),
% 8.26/6.07 inference(modus_ponens,[status(thm)],[25211, 25210])).
% 8.26/6.07 tff(25213,plain,
% 8.26/6.07 (xuntil2p8(s113) | (~until2p7(s113))),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25212, 22704, 20666])).
% 8.26/6.07 tff(25214,plain,
% 8.26/6.07 (~until2p7(s113)),
% 8.26/6.07 inference(unit_resolution,[status(thm)],[25213, 25209])).
% 8.26/6.07 tff(25215,plain,
% 8.26/6.07 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25216,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25217,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25216, 25215])).
% 8.26/6.08 tff(25218,plain,
% 8.26/6.08 (until2p7(s113) | (~xuntil2p8(s112))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25217, 7718, 22719])).
% 8.26/6.08 tff(25219,plain,
% 8.26/6.08 (~xuntil2p8(s112)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25218, 25214])).
% 8.26/6.08 tff(25220,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25221,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s112) | xuntil2p8(s112) | (~until2p7(s112)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25222,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s112) | xuntil2p8(s112) | (~until2p7(s112))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25221, 25220])).
% 8.26/6.08 tff(25223,plain,
% 8.26/6.08 (xuntil2p8(s112) | (~until2p7(s112))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25222, 22704, 20662])).
% 8.26/6.08 tff(25224,plain,
% 8.26/6.08 (~until2p7(s112)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25223, 25219])).
% 8.26/6.08 tff(25225,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25226,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25227,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25226, 25225])).
% 8.26/6.08 tff(25228,plain,
% 8.26/6.08 (until2p7(s112) | (~xuntil2p8(s111))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25227, 7665, 22719])).
% 8.26/6.08 tff(25229,plain,
% 8.26/6.08 (~xuntil2p8(s111)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25228, 25224])).
% 8.26/6.08 tff(25230,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25231,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s111) | xuntil2p8(s111) | (~until2p7(s111)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25232,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s111) | xuntil2p8(s111) | (~until2p7(s111))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25231, 25230])).
% 8.26/6.08 tff(25233,plain,
% 8.26/6.08 (xuntil2p8(s111) | (~until2p7(s111))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25232, 22704, 20658])).
% 8.26/6.08 tff(25234,plain,
% 8.26/6.08 (~until2p7(s111)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25233, 25229])).
% 8.26/6.08 tff(25235,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25236,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25237,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25236, 25235])).
% 8.26/6.08 tff(25238,plain,
% 8.26/6.08 (until2p7(s111) | (~xuntil2p8(s110))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25237, 7609, 22719])).
% 8.26/6.08 tff(25239,plain,
% 8.26/6.08 (~xuntil2p8(s110)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25238, 25234])).
% 8.26/6.08 tff(25240,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25241,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s110) | xuntil2p8(s110) | (~until2p7(s110)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25242,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s110) | xuntil2p8(s110) | (~until2p7(s110))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25241, 25240])).
% 8.26/6.08 tff(25243,plain,
% 8.26/6.08 (xuntil2p8(s110) | (~until2p7(s110))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25242, 22704, 20654])).
% 8.26/6.08 tff(25244,plain,
% 8.26/6.08 (~until2p7(s110)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25243, 25239])).
% 8.26/6.08 tff(25245,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25246,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25247,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25246, 25245])).
% 8.26/6.08 tff(25248,plain,
% 8.26/6.08 (until2p7(s110) | (~xuntil2p8(s109))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25247, 7553, 22719])).
% 8.26/6.08 tff(25249,plain,
% 8.26/6.08 (~xuntil2p8(s109)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25248, 25244])).
% 8.26/6.08 tff(25250,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25251,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s109) | xuntil2p8(s109) | (~until2p7(s109)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25252,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s109) | xuntil2p8(s109) | (~until2p7(s109))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25251, 25250])).
% 8.26/6.08 tff(25253,plain,
% 8.26/6.08 (xuntil2p8(s109) | (~until2p7(s109))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25252, 22704, 20650])).
% 8.26/6.08 tff(25254,plain,
% 8.26/6.08 (~until2p7(s109)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25253, 25249])).
% 8.26/6.08 tff(25255,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25256,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25257,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25256, 25255])).
% 8.26/6.08 tff(25258,plain,
% 8.26/6.08 (until2p7(s109) | (~xuntil2p8(s108))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25257, 7497, 22719])).
% 8.26/6.08 tff(25259,plain,
% 8.26/6.08 (~xuntil2p8(s108)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25258, 25254])).
% 8.26/6.08 tff(25260,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25261,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s108) | xuntil2p8(s108) | (~until2p7(s108)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25262,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s108) | xuntil2p8(s108) | (~until2p7(s108))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25261, 25260])).
% 8.26/6.08 tff(25263,plain,
% 8.26/6.08 (xuntil2p8(s108) | (~until2p7(s108))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25262, 22704, 20646])).
% 8.26/6.08 tff(25264,plain,
% 8.26/6.08 (~until2p7(s108)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25263, 25259])).
% 8.26/6.08 tff(25265,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25266,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25267,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25266, 25265])).
% 8.26/6.08 tff(25268,plain,
% 8.26/6.08 (until2p7(s108) | (~xuntil2p8(s107))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25267, 7441, 22719])).
% 8.26/6.08 tff(25269,plain,
% 8.26/6.08 (~xuntil2p8(s107)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25268, 25264])).
% 8.26/6.08 tff(25270,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25271,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s107) | xuntil2p8(s107) | (~until2p7(s107)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25272,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s107) | xuntil2p8(s107) | (~until2p7(s107))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25271, 25270])).
% 8.26/6.08 tff(25273,plain,
% 8.26/6.08 (xuntil2p8(s107) | (~until2p7(s107))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25272, 22704, 20642])).
% 8.26/6.08 tff(25274,plain,
% 8.26/6.08 (~until2p7(s107)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25273, 25269])).
% 8.26/6.08 tff(25275,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25276,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25277,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25276, 25275])).
% 8.26/6.08 tff(25278,plain,
% 8.26/6.08 (until2p7(s107) | (~xuntil2p8(s106))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25277, 7385, 22719])).
% 8.26/6.08 tff(25279,plain,
% 8.26/6.08 (~xuntil2p8(s106)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25278, 25274])).
% 8.26/6.08 tff(25280,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25281,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s106) | xuntil2p8(s106) | (~until2p7(s106)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25282,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s106) | xuntil2p8(s106) | (~until2p7(s106))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25281, 25280])).
% 8.26/6.08 tff(25283,plain,
% 8.26/6.08 (xuntil2p8(s106) | (~until2p7(s106))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25282, 22704, 20638])).
% 8.26/6.08 tff(25284,plain,
% 8.26/6.08 (~until2p7(s106)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25283, 25279])).
% 8.26/6.08 tff(25285,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25286,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25287,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25286, 25285])).
% 8.26/6.08 tff(25288,plain,
% 8.26/6.08 (until2p7(s106) | (~xuntil2p8(s105))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25287, 7329, 22719])).
% 8.26/6.08 tff(25289,plain,
% 8.26/6.08 (~xuntil2p8(s105)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25288, 25284])).
% 8.26/6.08 tff(25290,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25291,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s105) | xuntil2p8(s105) | (~until2p7(s105)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25292,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s105) | xuntil2p8(s105) | (~until2p7(s105))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25291, 25290])).
% 8.26/6.08 tff(25293,plain,
% 8.26/6.08 (xuntil2p8(s105) | (~until2p7(s105))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25292, 22704, 20634])).
% 8.26/6.08 tff(25294,plain,
% 8.26/6.08 (~until2p7(s105)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25293, 25289])).
% 8.26/6.08 tff(25295,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25296,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25297,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25296, 25295])).
% 8.26/6.08 tff(25298,plain,
% 8.26/6.08 (until2p7(s105) | (~xuntil2p8(s104))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25297, 7242, 22719])).
% 8.26/6.08 tff(25299,plain,
% 8.26/6.08 (~xuntil2p8(s104)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25298, 25294])).
% 8.26/6.08 tff(25300,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25301,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s104) | xuntil2p8(s104) | (~until2p7(s104)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25302,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s104) | xuntil2p8(s104) | (~until2p7(s104))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25301, 25300])).
% 8.26/6.08 tff(25303,plain,
% 8.26/6.08 (xuntil2p8(s104) | (~until2p7(s104))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25302, 22704, 20630])).
% 8.26/6.08 tff(25304,plain,
% 8.26/6.08 (~until2p7(s104)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25303, 25299])).
% 8.26/6.08 tff(25305,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25306,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25307,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25306, 25305])).
% 8.26/6.08 tff(25308,plain,
% 8.26/6.08 (until2p7(s104) | (~xuntil2p8(s103))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25307, 7161, 22719])).
% 8.26/6.08 tff(25309,plain,
% 8.26/6.08 (~xuntil2p8(s103)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25308, 25304])).
% 8.26/6.08 tff(25310,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25311,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s103) | xuntil2p8(s103) | (~until2p7(s103)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25312,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s103) | xuntil2p8(s103) | (~until2p7(s103))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 8.26/6.08 tff(25313,plain,
% 8.26/6.08 (xuntil2p8(s103) | (~until2p7(s103))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25312, 22704, 20626])).
% 8.26/6.08 tff(25314,plain,
% 8.26/6.08 (~until2p7(s103)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25313, 25309])).
% 8.26/6.08 tff(25315,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25316,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25317,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25316, 25315])).
% 8.26/6.08 tff(25318,plain,
% 8.26/6.08 (until2p7(s103) | (~xuntil2p8(s102))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25317, 7112, 22719])).
% 8.26/6.08 tff(25319,plain,
% 8.26/6.08 (~xuntil2p8(s102)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25318, 25314])).
% 8.26/6.08 tff(25320,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25321,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s102) | xuntil2p8(s102) | (~until2p7(s102)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25322,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s102) | xuntil2p8(s102) | (~until2p7(s102))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25321, 25320])).
% 8.26/6.08 tff(25323,plain,
% 8.26/6.08 (xuntil2p8(s102) | (~until2p7(s102))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25322, 22704, 20622])).
% 8.26/6.08 tff(25324,plain,
% 8.26/6.08 (~until2p7(s102)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25323, 25319])).
% 8.26/6.08 tff(25325,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25326,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25327,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25326, 25325])).
% 8.26/6.08 tff(25328,plain,
% 8.26/6.08 (until2p7(s102) | (~xuntil2p8(s101))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25327, 7056, 22719])).
% 8.26/6.08 tff(25329,plain,
% 8.26/6.08 (~xuntil2p8(s101)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25328, 25324])).
% 8.26/6.08 tff(25330,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25331,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s101) | xuntil2p8(s101) | (~until2p7(s101)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25332,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s101) | xuntil2p8(s101) | (~until2p7(s101))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25331, 25330])).
% 8.26/6.08 tff(25333,plain,
% 8.26/6.08 (xuntil2p8(s101) | (~until2p7(s101))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25332, 22704, 20618])).
% 8.26/6.08 tff(25334,plain,
% 8.26/6.08 (~until2p7(s101)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25333, 25329])).
% 8.26/6.08 tff(25335,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25336,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25337,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25336, 25335])).
% 8.26/6.08 tff(25338,plain,
% 8.26/6.08 (until2p7(s101) | (~xuntil2p8(s100))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25337, 7000, 22719])).
% 8.26/6.08 tff(25339,plain,
% 8.26/6.08 (~xuntil2p8(s100)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25338, 25334])).
% 8.26/6.08 tff(25340,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25341,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s100) | xuntil2p8(s100) | (~until2p7(s100)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25342,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s100) | xuntil2p8(s100) | (~until2p7(s100))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25341, 25340])).
% 8.26/6.08 tff(25343,plain,
% 8.26/6.08 (xuntil2p8(s100) | (~until2p7(s100))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25342, 22704, 20614])).
% 8.26/6.08 tff(25344,plain,
% 8.26/6.08 (~until2p7(s100)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25343, 25339])).
% 8.26/6.08 tff(25345,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25346,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25347,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25346, 25345])).
% 8.26/6.08 tff(25348,plain,
% 8.26/6.08 (until2p7(s100) | (~xuntil2p8(s99))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25347, 6944, 22719])).
% 8.26/6.08 tff(25349,plain,
% 8.26/6.08 (~xuntil2p8(s99)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25348, 25344])).
% 8.26/6.08 tff(25350,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25351,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s99) | xuntil2p8(s99) | (~until2p7(s99)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25352,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s99) | xuntil2p8(s99) | (~until2p7(s99))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25351, 25350])).
% 8.26/6.08 tff(25353,plain,
% 8.26/6.08 (xuntil2p8(s99) | (~until2p7(s99))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25352, 22704, 20610])).
% 8.26/6.08 tff(25354,plain,
% 8.26/6.08 (~until2p7(s99)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25353, 25349])).
% 8.26/6.08 tff(25355,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25356,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25357,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25356, 25355])).
% 8.26/6.08 tff(25358,plain,
% 8.26/6.08 (until2p7(s99) | (~xuntil2p8(s98))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25357, 6888, 22719])).
% 8.26/6.08 tff(25359,plain,
% 8.26/6.08 (~xuntil2p8(s98)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25358, 25354])).
% 8.26/6.08 tff(25360,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25361,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s98) | xuntil2p8(s98) | (~until2p7(s98)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25362,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s98) | xuntil2p8(s98) | (~until2p7(s98))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25361, 25360])).
% 8.26/6.08 tff(25363,plain,
% 8.26/6.08 (xuntil2p8(s98) | (~until2p7(s98))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25362, 22704, 20606])).
% 8.26/6.08 tff(25364,plain,
% 8.26/6.08 (~until2p7(s98)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25363, 25359])).
% 8.26/6.08 tff(25365,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25366,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25367,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25366, 25365])).
% 8.26/6.08 tff(25368,plain,
% 8.26/6.08 (until2p7(s98) | (~xuntil2p8(s97))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25367, 6832, 22719])).
% 8.26/6.08 tff(25369,plain,
% 8.26/6.08 (~xuntil2p8(s97)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25368, 25364])).
% 8.26/6.08 tff(25370,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25371,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s97) | xuntil2p8(s97) | (~until2p7(s97)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25372,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s97) | xuntil2p8(s97) | (~until2p7(s97))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25371, 25370])).
% 8.26/6.08 tff(25373,plain,
% 8.26/6.08 (xuntil2p8(s97) | (~until2p7(s97))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25372, 22704, 20602])).
% 8.26/6.08 tff(25374,plain,
% 8.26/6.08 (~until2p7(s97)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25373, 25369])).
% 8.26/6.08 tff(25375,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25376,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25377,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25376, 25375])).
% 8.26/6.08 tff(25378,plain,
% 8.26/6.08 (until2p7(s97) | (~xuntil2p8(s96))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25377, 6776, 22719])).
% 8.26/6.08 tff(25379,plain,
% 8.26/6.08 (~xuntil2p8(s96)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25378, 25374])).
% 8.26/6.08 tff(25380,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25381,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s96) | xuntil2p8(s96) | (~until2p7(s96)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25382,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s96) | xuntil2p8(s96) | (~until2p7(s96))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25381, 25380])).
% 8.26/6.08 tff(25383,plain,
% 8.26/6.08 (xuntil2p8(s96) | (~until2p7(s96))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25382, 22704, 20598])).
% 8.26/6.08 tff(25384,plain,
% 8.26/6.08 (~until2p7(s96)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25383, 25379])).
% 8.26/6.08 tff(25385,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25386,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25387,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25386, 25385])).
% 8.26/6.08 tff(25388,plain,
% 8.26/6.08 (until2p7(s96) | (~xuntil2p8(s95))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25387, 6720, 22719])).
% 8.26/6.08 tff(25389,plain,
% 8.26/6.08 (~xuntil2p8(s95)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25388, 25384])).
% 8.26/6.08 tff(25390,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25391,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s95) | xuntil2p8(s95) | (~until2p7(s95)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25392,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s95) | xuntil2p8(s95) | (~until2p7(s95))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25391, 25390])).
% 8.26/6.08 tff(25393,plain,
% 8.26/6.08 (xuntil2p8(s95) | (~until2p7(s95))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25392, 22704, 20594])).
% 8.26/6.08 tff(25394,plain,
% 8.26/6.08 (~until2p7(s95)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25393, 25389])).
% 8.26/6.08 tff(25395,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25396,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25397,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25396, 25395])).
% 8.26/6.08 tff(25398,plain,
% 8.26/6.08 (until2p7(s95) | (~xuntil2p8(s94))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25397, 6664, 22719])).
% 8.26/6.08 tff(25399,plain,
% 8.26/6.08 (~xuntil2p8(s94)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25398, 25394])).
% 8.26/6.08 tff(25400,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25401,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s94) | xuntil2p8(s94) | (~until2p7(s94)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25402,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s94) | xuntil2p8(s94) | (~until2p7(s94))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25401, 25400])).
% 8.26/6.08 tff(25403,plain,
% 8.26/6.08 (xuntil2p8(s94) | (~until2p7(s94))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25402, 22704, 20590])).
% 8.26/6.08 tff(25404,plain,
% 8.26/6.08 (~until2p7(s94)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25403, 25399])).
% 8.26/6.08 tff(25405,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25406,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25407,plain,
% 8.26/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25406, 25405])).
% 8.26/6.08 tff(25408,plain,
% 8.26/6.08 (until2p7(s94) | (~xuntil2p8(s93))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25407, 6590, 22719])).
% 8.26/6.08 tff(25409,plain,
% 8.26/6.08 (~xuntil2p8(s93)),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25408, 25404])).
% 8.26/6.08 tff(25410,plain,
% 8.26/6.08 (((~![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)))),
% 8.26/6.08 inference(rewrite,[status(thm)],[])).
% 8.26/6.08 tff(25411,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s93) | xuntil2p8(s93) | (~until2p7(s93)))),
% 8.26/6.08 inference(quant_inst,[status(thm)],[])).
% 8.26/6.08 tff(25412,plain,
% 8.26/6.08 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s93) | xuntil2p8(s93) | (~until2p7(s93))),
% 8.26/6.08 inference(modus_ponens,[status(thm)],[25411, 25410])).
% 8.26/6.08 tff(25413,plain,
% 8.26/6.08 (xuntil2p8(s93) | (~until2p7(s93))),
% 8.26/6.08 inference(unit_resolution,[status(thm)],[25412, 22704, 20586])).
% 8.26/6.09 tff(25414,plain,
% 8.26/6.09 (~until2p7(s93)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25413, 25409])).
% 8.26/6.09 tff(25415,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25416,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25417,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25416, 25415])).
% 8.26/6.09 tff(25418,plain,
% 8.26/6.09 (until2p7(s93) | (~xuntil2p8(s92))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25417, 6150, 22719])).
% 8.26/6.09 tff(25419,plain,
% 8.26/6.09 (~xuntil2p8(s92)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25418, 25414])).
% 8.26/6.09 tff(25420,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25421,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s92) | xuntil2p8(s92) | (~until2p7(s92)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25422,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s92) | xuntil2p8(s92) | (~until2p7(s92))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25421, 25420])).
% 8.26/6.09 tff(25423,plain,
% 8.26/6.09 (xuntil2p8(s92) | (~until2p7(s92))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25422, 22704, 20582])).
% 8.26/6.09 tff(25424,plain,
% 8.26/6.09 (~until2p7(s92)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25423, 25419])).
% 8.26/6.09 tff(25425,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25426,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25427,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25426, 25425])).
% 8.26/6.09 tff(25428,plain,
% 8.26/6.09 (until2p7(s92) | (~xuntil2p8(s91))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25427, 6205, 22719])).
% 8.26/6.09 tff(25429,plain,
% 8.26/6.09 (~xuntil2p8(s91)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25428, 25424])).
% 8.26/6.09 tff(25430,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25431,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s91) | xuntil2p8(s91) | (~until2p7(s91)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25432,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s91) | xuntil2p8(s91) | (~until2p7(s91))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25431, 25430])).
% 8.26/6.09 tff(25433,plain,
% 8.26/6.09 (xuntil2p8(s91) | (~until2p7(s91))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25432, 22704, 20578])).
% 8.26/6.09 tff(25434,plain,
% 8.26/6.09 (~until2p7(s91)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25433, 25429])).
% 8.26/6.09 tff(25435,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25436,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25437,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25436, 25435])).
% 8.26/6.09 tff(25438,plain,
% 8.26/6.09 (until2p7(s91) | (~xuntil2p8(s90))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25437, 6214, 22719])).
% 8.26/6.09 tff(25439,plain,
% 8.26/6.09 (~xuntil2p8(s90)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25438, 25434])).
% 8.26/6.09 tff(25440,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25441,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s90) | xuntil2p8(s90) | (~until2p7(s90)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25442,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s90) | xuntil2p8(s90) | (~until2p7(s90))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25441, 25440])).
% 8.26/6.09 tff(25443,plain,
% 8.26/6.09 (xuntil2p8(s90) | (~until2p7(s90))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25442, 22704, 20574])).
% 8.26/6.09 tff(25444,plain,
% 8.26/6.09 (~until2p7(s90)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25443, 25439])).
% 8.26/6.09 tff(25445,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25446,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25447,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25446, 25445])).
% 8.26/6.09 tff(25448,plain,
% 8.26/6.09 (until2p7(s90) | (~xuntil2p8(s89))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25447, 6097, 22719])).
% 8.26/6.09 tff(25449,plain,
% 8.26/6.09 (~xuntil2p8(s89)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25448, 25444])).
% 8.26/6.09 tff(25450,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25451,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s89) | xuntil2p8(s89) | (~until2p7(s89)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25452,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s89) | xuntil2p8(s89) | (~until2p7(s89))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25451, 25450])).
% 8.26/6.09 tff(25453,plain,
% 8.26/6.09 (xuntil2p8(s89) | (~until2p7(s89))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25452, 22704, 20570])).
% 8.26/6.09 tff(25454,plain,
% 8.26/6.09 (~until2p7(s89)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25453, 25449])).
% 8.26/6.09 tff(25455,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25456,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25457,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25456, 25455])).
% 8.26/6.09 tff(25458,plain,
% 8.26/6.09 (until2p7(s89) | (~xuntil2p8(s88))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25457, 6041, 22719])).
% 8.26/6.09 tff(25459,plain,
% 8.26/6.09 (~xuntil2p8(s88)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25458, 25454])).
% 8.26/6.09 tff(25460,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25461,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s88) | xuntil2p8(s88) | (~until2p7(s88)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25462,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s88) | xuntil2p8(s88) | (~until2p7(s88))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25461, 25460])).
% 8.26/6.09 tff(25463,plain,
% 8.26/6.09 (xuntil2p8(s88) | (~until2p7(s88))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25462, 22704, 20566])).
% 8.26/6.09 tff(25464,plain,
% 8.26/6.09 (~until2p7(s88)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25463, 25459])).
% 8.26/6.09 tff(25465,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25466,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25467,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25466, 25465])).
% 8.26/6.09 tff(25468,plain,
% 8.26/6.09 (until2p7(s88) | (~xuntil2p8(s87))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25467, 5985, 22719])).
% 8.26/6.09 tff(25469,plain,
% 8.26/6.09 (~xuntil2p8(s87)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25468, 25464])).
% 8.26/6.09 tff(25470,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25471,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s87) | xuntil2p8(s87) | (~until2p7(s87)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25472,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s87) | xuntil2p8(s87) | (~until2p7(s87))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25471, 25470])).
% 8.26/6.09 tff(25473,plain,
% 8.26/6.09 (xuntil2p8(s87) | (~until2p7(s87))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25472, 22704, 20562])).
% 8.26/6.09 tff(25474,plain,
% 8.26/6.09 (~until2p7(s87)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25473, 25469])).
% 8.26/6.09 tff(25475,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25476,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25477,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25476, 25475])).
% 8.26/6.09 tff(25478,plain,
% 8.26/6.09 (until2p7(s87) | (~xuntil2p8(s86))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25477, 130, 22719])).
% 8.26/6.09 tff(25479,plain,
% 8.26/6.09 (~xuntil2p8(s86)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25478, 25474])).
% 8.26/6.09 tff(25480,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25481,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s86) | xuntil2p8(s86) | (~until2p7(s86)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25482,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s86) | xuntil2p8(s86) | (~until2p7(s86))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25481, 25480])).
% 8.26/6.09 tff(25483,plain,
% 8.26/6.09 (xuntil2p8(s86) | (~until2p7(s86))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25482, 22704, 20558])).
% 8.26/6.09 tff(25484,plain,
% 8.26/6.09 (~until2p7(s86)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25483, 25479])).
% 8.26/6.09 tff(25485,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25486,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25487,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25486, 25485])).
% 8.26/6.09 tff(25488,plain,
% 8.26/6.09 (until2p7(s86) | (~xuntil2p8(s85))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25487, 5727, 22719])).
% 8.26/6.09 tff(25489,plain,
% 8.26/6.09 (~xuntil2p8(s85)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25488, 25484])).
% 8.26/6.09 tff(25490,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25491,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s85) | xuntil2p8(s85) | (~until2p7(s85)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25492,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s85) | xuntil2p8(s85) | (~until2p7(s85))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25491, 25490])).
% 8.26/6.09 tff(25493,plain,
% 8.26/6.09 (xuntil2p8(s85) | (~until2p7(s85))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25492, 22704, 20554])).
% 8.26/6.09 tff(25494,plain,
% 8.26/6.09 (~until2p7(s85)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25493, 25489])).
% 8.26/6.09 tff(25495,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25496,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25497,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25496, 25495])).
% 8.26/6.09 tff(25498,plain,
% 8.26/6.09 (until2p7(s85) | (~xuntil2p8(s84))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25497, 5671, 22719])).
% 8.26/6.09 tff(25499,plain,
% 8.26/6.09 (~xuntil2p8(s84)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25498, 25494])).
% 8.26/6.09 tff(25500,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25501,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s84) | xuntil2p8(s84) | (~until2p7(s84)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25502,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s84) | xuntil2p8(s84) | (~until2p7(s84))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25501, 25500])).
% 8.26/6.09 tff(25503,plain,
% 8.26/6.09 (xuntil2p8(s84) | (~until2p7(s84))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25502, 22704, 20550])).
% 8.26/6.09 tff(25504,plain,
% 8.26/6.09 (~until2p7(s84)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25503, 25499])).
% 8.26/6.09 tff(25505,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25506,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25507,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25506, 25505])).
% 8.26/6.09 tff(25508,plain,
% 8.26/6.09 (until2p7(s84) | (~xuntil2p8(s83))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25507, 5615, 22719])).
% 8.26/6.09 tff(25509,plain,
% 8.26/6.09 (~xuntil2p8(s83)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25508, 25504])).
% 8.26/6.09 tff(25510,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25511,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s83) | xuntil2p8(s83) | (~until2p7(s83)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25512,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s83) | xuntil2p8(s83) | (~until2p7(s83))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25511, 25510])).
% 8.26/6.09 tff(25513,plain,
% 8.26/6.09 (xuntil2p8(s83) | (~until2p7(s83))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25512, 22704, 20546])).
% 8.26/6.09 tff(25514,plain,
% 8.26/6.09 (~until2p7(s83)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25513, 25509])).
% 8.26/6.09 tff(25515,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25516,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25517,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25516, 25515])).
% 8.26/6.09 tff(25518,plain,
% 8.26/6.09 (until2p7(s83) | (~xuntil2p8(s82))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25517, 5559, 22719])).
% 8.26/6.09 tff(25519,plain,
% 8.26/6.09 (~xuntil2p8(s82)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25518, 25514])).
% 8.26/6.09 tff(25520,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25521,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s82) | xuntil2p8(s82) | (~until2p7(s82)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25522,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s82) | xuntil2p8(s82) | (~until2p7(s82))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25521, 25520])).
% 8.26/6.09 tff(25523,plain,
% 8.26/6.09 (xuntil2p8(s82) | (~until2p7(s82))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25522, 22704, 20542])).
% 8.26/6.09 tff(25524,plain,
% 8.26/6.09 (~until2p7(s82)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25523, 25519])).
% 8.26/6.09 tff(25525,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25526,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25527,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25526, 25525])).
% 8.26/6.09 tff(25528,plain,
% 8.26/6.09 (until2p7(s82) | (~xuntil2p8(s81))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25527, 5503, 22719])).
% 8.26/6.09 tff(25529,plain,
% 8.26/6.09 (~xuntil2p8(s81)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25528, 25524])).
% 8.26/6.09 tff(25530,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25531,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s81) | xuntil2p8(s81) | (~until2p7(s81)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25532,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s81) | xuntil2p8(s81) | (~until2p7(s81))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25531, 25530])).
% 8.26/6.09 tff(25533,plain,
% 8.26/6.09 (xuntil2p8(s81) | (~until2p7(s81))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25532, 22704, 20538])).
% 8.26/6.09 tff(25534,plain,
% 8.26/6.09 (~until2p7(s81)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25533, 25529])).
% 8.26/6.09 tff(25535,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25536,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25537,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25536, 25535])).
% 8.26/6.09 tff(25538,plain,
% 8.26/6.09 (until2p7(s81) | (~xuntil2p8(s80))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25537, 5447, 22719])).
% 8.26/6.09 tff(25539,plain,
% 8.26/6.09 (~xuntil2p8(s80)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25538, 25534])).
% 8.26/6.09 tff(25540,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25541,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s80) | xuntil2p8(s80) | (~until2p7(s80)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25542,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s80) | xuntil2p8(s80) | (~until2p7(s80))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25541, 25540])).
% 8.26/6.09 tff(25543,plain,
% 8.26/6.09 (xuntil2p8(s80) | (~until2p7(s80))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25542, 22704, 20534])).
% 8.26/6.09 tff(25544,plain,
% 8.26/6.09 (~until2p7(s80)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25543, 25539])).
% 8.26/6.09 tff(25545,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25546,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25547,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25546, 25545])).
% 8.26/6.09 tff(25548,plain,
% 8.26/6.09 (until2p7(s80) | (~xuntil2p8(s79))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25547, 5391, 22719])).
% 8.26/6.09 tff(25549,plain,
% 8.26/6.09 (~xuntil2p8(s79)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25548, 25544])).
% 8.26/6.09 tff(25550,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25551,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s79) | xuntil2p8(s79) | (~until2p7(s79)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25552,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s79) | xuntil2p8(s79) | (~until2p7(s79))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25551, 25550])).
% 8.26/6.09 tff(25553,plain,
% 8.26/6.09 (xuntil2p8(s79) | (~until2p7(s79))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25552, 22704, 20530])).
% 8.26/6.09 tff(25554,plain,
% 8.26/6.09 (~until2p7(s79)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25553, 25549])).
% 8.26/6.09 tff(25555,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25556,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25557,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25556, 25555])).
% 8.26/6.09 tff(25558,plain,
% 8.26/6.09 (until2p7(s79) | (~xuntil2p8(s78))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25557, 5335, 22719])).
% 8.26/6.09 tff(25559,plain,
% 8.26/6.09 (~xuntil2p8(s78)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25558, 25554])).
% 8.26/6.09 tff(25560,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25561,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s78) | xuntil2p8(s78) | (~until2p7(s78)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25562,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s78) | xuntil2p8(s78) | (~until2p7(s78))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25561, 25560])).
% 8.26/6.09 tff(25563,plain,
% 8.26/6.09 (xuntil2p8(s78) | (~until2p7(s78))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25562, 22704, 20526])).
% 8.26/6.09 tff(25564,plain,
% 8.26/6.09 (~until2p7(s78)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25563, 25559])).
% 8.26/6.09 tff(25565,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25566,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25567,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25566, 25565])).
% 8.26/6.09 tff(25568,plain,
% 8.26/6.09 (until2p7(s78) | (~xuntil2p8(s77))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25567, 5279, 22719])).
% 8.26/6.09 tff(25569,plain,
% 8.26/6.09 (~xuntil2p8(s77)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25568, 25564])).
% 8.26/6.09 tff(25570,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25571,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s77) | xuntil2p8(s77) | (~until2p7(s77)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25572,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s77) | xuntil2p8(s77) | (~until2p7(s77))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25571, 25570])).
% 8.26/6.09 tff(25573,plain,
% 8.26/6.09 (xuntil2p8(s77) | (~until2p7(s77))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25572, 22704, 20522])).
% 8.26/6.09 tff(25574,plain,
% 8.26/6.09 (~until2p7(s77)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25573, 25569])).
% 8.26/6.09 tff(25575,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25576,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25577,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25576, 25575])).
% 8.26/6.09 tff(25578,plain,
% 8.26/6.09 (until2p7(s77) | (~xuntil2p8(s76))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25577, 5223, 22719])).
% 8.26/6.09 tff(25579,plain,
% 8.26/6.09 (~xuntil2p8(s76)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25578, 25574])).
% 8.26/6.09 tff(25580,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25581,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s76) | xuntil2p8(s76) | (~until2p7(s76)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25582,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s76) | xuntil2p8(s76) | (~until2p7(s76))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25581, 25580])).
% 8.26/6.09 tff(25583,plain,
% 8.26/6.09 (xuntil2p8(s76) | (~until2p7(s76))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25582, 22704, 20518])).
% 8.26/6.09 tff(25584,plain,
% 8.26/6.09 (~until2p7(s76)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25583, 25579])).
% 8.26/6.09 tff(25585,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25586,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25587,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25586, 25585])).
% 8.26/6.09 tff(25588,plain,
% 8.26/6.09 (until2p7(s76) | (~xuntil2p8(s75))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25587, 5167, 22719])).
% 8.26/6.09 tff(25589,plain,
% 8.26/6.09 (~xuntil2p8(s75)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25588, 25584])).
% 8.26/6.09 tff(25590,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25591,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s75) | xuntil2p8(s75) | (~until2p7(s75)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25592,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s75) | xuntil2p8(s75) | (~until2p7(s75))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25591, 25590])).
% 8.26/6.09 tff(25593,plain,
% 8.26/6.09 (xuntil2p8(s75) | (~until2p7(s75))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25592, 22704, 20514])).
% 8.26/6.09 tff(25594,plain,
% 8.26/6.09 (~until2p7(s75)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25593, 25589])).
% 8.26/6.09 tff(25595,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25596,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25597,plain,
% 8.26/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25596, 25595])).
% 8.26/6.09 tff(25598,plain,
% 8.26/6.09 (until2p7(s75) | (~xuntil2p8(s74))),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25597, 5111, 22719])).
% 8.26/6.09 tff(25599,plain,
% 8.26/6.09 (~xuntil2p8(s74)),
% 8.26/6.09 inference(unit_resolution,[status(thm)],[25598, 25594])).
% 8.26/6.09 tff(25600,plain,
% 8.26/6.09 (((~![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)))),
% 8.26/6.09 inference(rewrite,[status(thm)],[])).
% 8.26/6.09 tff(25601,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s74) | xuntil2p8(s74) | (~until2p7(s74)))),
% 8.26/6.09 inference(quant_inst,[status(thm)],[])).
% 8.26/6.09 tff(25602,plain,
% 8.26/6.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s74) | xuntil2p8(s74) | (~until2p7(s74))),
% 8.26/6.09 inference(modus_ponens,[status(thm)],[25601, 25600])).
% 8.26/6.10 tff(25603,plain,
% 8.26/6.10 (xuntil2p8(s74) | (~until2p7(s74))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25602, 22704, 20510])).
% 8.26/6.10 tff(25604,plain,
% 8.26/6.10 (~until2p7(s74)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25603, 25599])).
% 8.26/6.10 tff(25605,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25606,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25607,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25606, 25605])).
% 8.26/6.10 tff(25608,plain,
% 8.26/6.10 (until2p7(s74) | (~xuntil2p8(s73))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25607, 5055, 22719])).
% 8.26/6.10 tff(25609,plain,
% 8.26/6.10 (~xuntil2p8(s73)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25608, 25604])).
% 8.26/6.10 tff(25610,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25611,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s73) | xuntil2p8(s73) | (~until2p7(s73)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25612,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s73) | xuntil2p8(s73) | (~until2p7(s73))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25611, 25610])).
% 8.26/6.10 tff(25613,plain,
% 8.26/6.10 (xuntil2p8(s73) | (~until2p7(s73))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25612, 22704, 20506])).
% 8.26/6.10 tff(25614,plain,
% 8.26/6.10 (~until2p7(s73)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25613, 25609])).
% 8.26/6.10 tff(25615,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25616,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25617,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25616, 25615])).
% 8.26/6.10 tff(25618,plain,
% 8.26/6.10 (until2p7(s73) | (~xuntil2p8(s72))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25617, 4999, 22719])).
% 8.26/6.10 tff(25619,plain,
% 8.26/6.10 (~xuntil2p8(s72)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25618, 25614])).
% 8.26/6.10 tff(25620,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25621,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s72) | xuntil2p8(s72) | (~until2p7(s72)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25622,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s72) | xuntil2p8(s72) | (~until2p7(s72))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25621, 25620])).
% 8.26/6.10 tff(25623,plain,
% 8.26/6.10 (xuntil2p8(s72) | (~until2p7(s72))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25622, 22704, 20502])).
% 8.26/6.10 tff(25624,plain,
% 8.26/6.10 (~until2p7(s72)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25623, 25619])).
% 8.26/6.10 tff(25625,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25626,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25627,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25626, 25625])).
% 8.26/6.10 tff(25628,plain,
% 8.26/6.10 (until2p7(s72) | (~xuntil2p8(s71))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25627, 4943, 22719])).
% 8.26/6.10 tff(25629,plain,
% 8.26/6.10 (~xuntil2p8(s71)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25628, 25624])).
% 8.26/6.10 tff(25630,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25631,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s71) | xuntil2p8(s71) | (~until2p7(s71)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25632,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s71) | xuntil2p8(s71) | (~until2p7(s71))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25631, 25630])).
% 8.26/6.10 tff(25633,plain,
% 8.26/6.10 (xuntil2p8(s71) | (~until2p7(s71))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25632, 22704, 20498])).
% 8.26/6.10 tff(25634,plain,
% 8.26/6.10 (~until2p7(s71)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25633, 25629])).
% 8.26/6.10 tff(25635,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25636,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25637,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25636, 25635])).
% 8.26/6.10 tff(25638,plain,
% 8.26/6.10 (until2p7(s71) | (~xuntil2p8(s70))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25637, 4887, 22719])).
% 8.26/6.10 tff(25639,plain,
% 8.26/6.10 (~xuntil2p8(s70)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25638, 25634])).
% 8.26/6.10 tff(25640,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25641,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s70) | xuntil2p8(s70) | (~until2p7(s70)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25642,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s70) | xuntil2p8(s70) | (~until2p7(s70))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25641, 25640])).
% 8.26/6.10 tff(25643,plain,
% 8.26/6.10 (xuntil2p8(s70) | (~until2p7(s70))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25642, 22704, 20494])).
% 8.26/6.10 tff(25644,plain,
% 8.26/6.10 (~until2p7(s70)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25643, 25639])).
% 8.26/6.10 tff(25645,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25646,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25647,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25646, 25645])).
% 8.26/6.10 tff(25648,plain,
% 8.26/6.10 (until2p7(s70) | (~xuntil2p8(s69))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25647, 4831, 22719])).
% 8.26/6.10 tff(25649,plain,
% 8.26/6.10 (~xuntil2p8(s69)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25648, 25644])).
% 8.26/6.10 tff(25650,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25651,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s69) | xuntil2p8(s69) | (~until2p7(s69)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25652,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s69) | xuntil2p8(s69) | (~until2p7(s69))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25651, 25650])).
% 8.26/6.10 tff(25653,plain,
% 8.26/6.10 (xuntil2p8(s69) | (~until2p7(s69))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25652, 22704, 20490])).
% 8.26/6.10 tff(25654,plain,
% 8.26/6.10 (~until2p7(s69)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25653, 25649])).
% 8.26/6.10 tff(25655,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25656,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25657,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25656, 25655])).
% 8.26/6.10 tff(25658,plain,
% 8.26/6.10 (until2p7(s69) | (~xuntil2p8(s68))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25657, 4775, 22719])).
% 8.26/6.10 tff(25659,plain,
% 8.26/6.10 (~xuntil2p8(s68)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25658, 25654])).
% 8.26/6.10 tff(25660,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25661,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s68) | xuntil2p8(s68) | (~until2p7(s68)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25662,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s68) | xuntil2p8(s68) | (~until2p7(s68))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25661, 25660])).
% 8.26/6.10 tff(25663,plain,
% 8.26/6.10 (xuntil2p8(s68) | (~until2p7(s68))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25662, 22704, 20486])).
% 8.26/6.10 tff(25664,plain,
% 8.26/6.10 (~until2p7(s68)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25663, 25659])).
% 8.26/6.10 tff(25665,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25666,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25667,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25666, 25665])).
% 8.26/6.10 tff(25668,plain,
% 8.26/6.10 (until2p7(s68) | (~xuntil2p8(s67))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25667, 4719, 22719])).
% 8.26/6.10 tff(25669,plain,
% 8.26/6.10 (~xuntil2p8(s67)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25668, 25664])).
% 8.26/6.10 tff(25670,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25671,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s67) | xuntil2p8(s67) | (~until2p7(s67)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25672,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s67) | xuntil2p8(s67) | (~until2p7(s67))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25671, 25670])).
% 8.26/6.10 tff(25673,plain,
% 8.26/6.10 (xuntil2p8(s67) | (~until2p7(s67))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25672, 22704, 20482])).
% 8.26/6.10 tff(25674,plain,
% 8.26/6.10 (~until2p7(s67)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25673, 25669])).
% 8.26/6.10 tff(25675,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25676,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25677,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25676, 25675])).
% 8.26/6.10 tff(25678,plain,
% 8.26/6.10 (until2p7(s67) | (~xuntil2p8(s66))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25677, 4663, 22719])).
% 8.26/6.10 tff(25679,plain,
% 8.26/6.10 (~xuntil2p8(s66)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25678, 25674])).
% 8.26/6.10 tff(25680,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25681,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s66) | xuntil2p8(s66) | (~until2p7(s66)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25682,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s66) | xuntil2p8(s66) | (~until2p7(s66))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25681, 25680])).
% 8.26/6.10 tff(25683,plain,
% 8.26/6.10 (xuntil2p8(s66) | (~until2p7(s66))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25682, 22704, 20478])).
% 8.26/6.10 tff(25684,plain,
% 8.26/6.10 (~until2p7(s66)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25683, 25679])).
% 8.26/6.10 tff(25685,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25686,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25687,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25686, 25685])).
% 8.26/6.10 tff(25688,plain,
% 8.26/6.10 (until2p7(s66) | (~xuntil2p8(s65))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25687, 4607, 22719])).
% 8.26/6.10 tff(25689,plain,
% 8.26/6.10 (~xuntil2p8(s65)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25688, 25684])).
% 8.26/6.10 tff(25690,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25691,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s65) | xuntil2p8(s65) | (~until2p7(s65)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25692,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s65) | xuntil2p8(s65) | (~until2p7(s65))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25691, 25690])).
% 8.26/6.10 tff(25693,plain,
% 8.26/6.10 (xuntil2p8(s65) | (~until2p7(s65))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25692, 22704, 20474])).
% 8.26/6.10 tff(25694,plain,
% 8.26/6.10 (~until2p7(s65)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25693, 25689])).
% 8.26/6.10 tff(25695,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25696,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25697,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25696, 25695])).
% 8.26/6.10 tff(25698,plain,
% 8.26/6.10 (until2p7(s65) | (~xuntil2p8(s64))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25697, 4551, 22719])).
% 8.26/6.10 tff(25699,plain,
% 8.26/6.10 (~xuntil2p8(s64)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25698, 25694])).
% 8.26/6.10 tff(25700,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25701,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s64) | xuntil2p8(s64) | (~until2p7(s64)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25702,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s64) | xuntil2p8(s64) | (~until2p7(s64))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25701, 25700])).
% 8.26/6.10 tff(25703,plain,
% 8.26/6.10 (xuntil2p8(s64) | (~until2p7(s64))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25702, 22704, 20470])).
% 8.26/6.10 tff(25704,plain,
% 8.26/6.10 (~until2p7(s64)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25703, 25699])).
% 8.26/6.10 tff(25705,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25706,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25707,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25706, 25705])).
% 8.26/6.10 tff(25708,plain,
% 8.26/6.10 (until2p7(s64) | (~xuntil2p8(s63))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25707, 4495, 22719])).
% 8.26/6.10 tff(25709,plain,
% 8.26/6.10 (~xuntil2p8(s63)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25708, 25704])).
% 8.26/6.10 tff(25710,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25711,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s63) | xuntil2p8(s63) | (~until2p7(s63)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25712,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s63) | xuntil2p8(s63) | (~until2p7(s63))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25711, 25710])).
% 8.26/6.10 tff(25713,plain,
% 8.26/6.10 (xuntil2p8(s63) | (~until2p7(s63))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25712, 22704, 20466])).
% 8.26/6.10 tff(25714,plain,
% 8.26/6.10 (~until2p7(s63)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25713, 25709])).
% 8.26/6.10 tff(25715,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25716,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25717,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25716, 25715])).
% 8.26/6.10 tff(25718,plain,
% 8.26/6.10 (until2p7(s63) | (~xuntil2p8(s62))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25717, 4439, 22719])).
% 8.26/6.10 tff(25719,plain,
% 8.26/6.10 (~xuntil2p8(s62)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25718, 25714])).
% 8.26/6.10 tff(25720,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25721,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s62) | xuntil2p8(s62) | (~until2p7(s62)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25722,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s62) | xuntil2p8(s62) | (~until2p7(s62))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25721, 25720])).
% 8.26/6.10 tff(25723,plain,
% 8.26/6.10 (xuntil2p8(s62) | (~until2p7(s62))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25722, 22704, 20462])).
% 8.26/6.10 tff(25724,plain,
% 8.26/6.10 (~until2p7(s62)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25723, 25719])).
% 8.26/6.10 tff(25725,assumption,(~until2p7(s62)), introduced(assumption)).
% 8.26/6.10 tff(25726,assumption,(trans(s349, s62)), introduced(assumption)).
% 8.26/6.10 tff(25727,plain,
% 8.26/6.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s62)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25728,plain,
% 8.26/6.10 (((~trans(s349, s62)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s62)) <=> (until2p7(s62) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s62)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25729,plain,
% 8.26/6.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s62)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s62))))),
% 8.26/6.10 inference(monotonicity,[status(thm)],[25728])).
% 8.26/6.10 tff(25730,plain,
% 8.26/6.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s62)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s62)))),
% 8.26/6.10 inference(transitivity,[status(thm)],[25729, 25727])).
% 8.26/6.10 tff(25731,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s62)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s62))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25732,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s62))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25731, 25730])).
% 8.26/6.10 tff(25733,plain,
% 8.26/6.10 ($false),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25732, 22690, 25726, 23114, 25725, 24569])).
% 8.26/6.10 tff(25734,plain,((~trans(s349, s62)) | until2p7(s62) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.26/6.10 tff(25735,plain,
% 8.26/6.10 (~trans(s349, s62)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25734, 25724, 22676])).
% 8.26/6.10 tff(25736,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25737,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25738,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25737, 25736])).
% 8.26/6.10 tff(25739,plain,
% 8.26/6.10 (until2p7(s62) | (~xuntil2p8(s61))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25738, 4383, 22719])).
% 8.26/6.10 tff(25740,plain,
% 8.26/6.10 (~xuntil2p8(s61)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25739, 25724])).
% 8.26/6.10 tff(25741,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25742,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s61) | xuntil2p8(s61) | (~until2p7(s61)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25743,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s61) | xuntil2p8(s61) | (~until2p7(s61))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25742, 25741])).
% 8.26/6.10 tff(25744,plain,
% 8.26/6.10 (xuntil2p8(s61) | (~until2p7(s61))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25743, 22704, 20458])).
% 8.26/6.10 tff(25745,plain,
% 8.26/6.10 (~until2p7(s61)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25744, 25740])).
% 8.26/6.10 tff(25746,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25747,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25748,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25747, 25746])).
% 8.26/6.10 tff(25749,plain,
% 8.26/6.10 (until2p7(s61) | (~xuntil2p8(s60))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25748, 4327, 22719])).
% 8.26/6.10 tff(25750,plain,
% 8.26/6.10 (~xuntil2p8(s60)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25749, 25745])).
% 8.26/6.10 tff(25751,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25752,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s60) | xuntil2p8(s60) | (~until2p7(s60)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25753,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s60) | xuntil2p8(s60) | (~until2p7(s60))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25752, 25751])).
% 8.26/6.10 tff(25754,plain,
% 8.26/6.10 (xuntil2p8(s60) | (~until2p7(s60))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25753, 22704, 20454])).
% 8.26/6.10 tff(25755,plain,
% 8.26/6.10 (~until2p7(s60)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25754, 25750])).
% 8.26/6.10 tff(25756,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25757,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25758,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25757, 25756])).
% 8.26/6.10 tff(25759,plain,
% 8.26/6.10 (until2p7(s60) | (~xuntil2p8(s59))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25758, 4271, 22719])).
% 8.26/6.10 tff(25760,plain,
% 8.26/6.10 (~xuntil2p8(s59)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25759, 25755])).
% 8.26/6.10 tff(25761,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25762,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s59) | xuntil2p8(s59) | (~until2p7(s59)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25763,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s59) | xuntil2p8(s59) | (~until2p7(s59))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25762, 25761])).
% 8.26/6.10 tff(25764,plain,
% 8.26/6.10 (xuntil2p8(s59) | (~until2p7(s59))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25763, 22704, 20450])).
% 8.26/6.10 tff(25765,plain,
% 8.26/6.10 (~until2p7(s59)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25764, 25760])).
% 8.26/6.10 tff(25766,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25767,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25768,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25767, 25766])).
% 8.26/6.10 tff(25769,plain,
% 8.26/6.10 (until2p7(s59) | (~xuntil2p8(s58))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25768, 4215, 22719])).
% 8.26/6.10 tff(25770,plain,
% 8.26/6.10 (~xuntil2p8(s58)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25769, 25765])).
% 8.26/6.10 tff(25771,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25772,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s58) | xuntil2p8(s58) | (~until2p7(s58)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25773,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s58) | xuntil2p8(s58) | (~until2p7(s58))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25772, 25771])).
% 8.26/6.10 tff(25774,plain,
% 8.26/6.10 (xuntil2p8(s58) | (~until2p7(s58))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25773, 22704, 20446])).
% 8.26/6.10 tff(25775,plain,
% 8.26/6.10 (~until2p7(s58)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25774, 25770])).
% 8.26/6.10 tff(25776,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25777,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25778,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25777, 25776])).
% 8.26/6.10 tff(25779,plain,
% 8.26/6.10 (until2p7(s58) | (~xuntil2p8(s57))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25778, 4159, 22719])).
% 8.26/6.10 tff(25780,plain,
% 8.26/6.10 (~xuntil2p8(s57)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25779, 25775])).
% 8.26/6.10 tff(25781,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25782,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s57) | xuntil2p8(s57) | (~until2p7(s57)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25783,plain,
% 8.26/6.10 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s57) | xuntil2p8(s57) | (~until2p7(s57))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25782, 25781])).
% 8.26/6.10 tff(25784,plain,
% 8.26/6.10 (xuntil2p8(s57) | (~until2p7(s57))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25783, 22704, 20442])).
% 8.26/6.10 tff(25785,plain,
% 8.26/6.10 (~until2p7(s57)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25784, 25780])).
% 8.26/6.10 tff(25786,plain,
% 8.26/6.10 (((~![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)))),
% 8.26/6.10 inference(rewrite,[status(thm)],[])).
% 8.26/6.10 tff(25787,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56)))),
% 8.26/6.10 inference(quant_inst,[status(thm)],[])).
% 8.26/6.10 tff(25788,plain,
% 8.26/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56))),
% 8.26/6.10 inference(modus_ponens,[status(thm)],[25787, 25786])).
% 8.26/6.10 tff(25789,plain,
% 8.26/6.10 (until2p7(s57) | (~xuntil2p8(s56))),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25788, 4103, 22719])).
% 8.26/6.10 tff(25790,plain,
% 8.26/6.10 (~xuntil2p8(s56)),
% 8.26/6.10 inference(unit_resolution,[status(thm)],[25789, 25785])).
% 8.26/6.11 tff(25791,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25792,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s56) | xuntil2p8(s56) | (~until2p7(s56)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25793,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s56) | xuntil2p8(s56) | (~until2p7(s56))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25792, 25791])).
% 8.26/6.11 tff(25794,plain,
% 8.26/6.11 (xuntil2p8(s56) | (~until2p7(s56))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25793, 22704, 20438])).
% 8.26/6.11 tff(25795,plain,
% 8.26/6.11 (~until2p7(s56)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25794, 25790])).
% 8.26/6.11 tff(25796,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25797,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25798,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25797, 25796])).
% 8.26/6.11 tff(25799,plain,
% 8.26/6.11 (until2p7(s56) | (~xuntil2p8(s55))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25798, 4047, 22719])).
% 8.26/6.11 tff(25800,plain,
% 8.26/6.11 (~xuntil2p8(s55)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25799, 25795])).
% 8.26/6.11 tff(25801,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25802,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s55) | xuntil2p8(s55) | (~until2p7(s55)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25803,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s55) | xuntil2p8(s55) | (~until2p7(s55))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25802, 25801])).
% 8.26/6.11 tff(25804,plain,
% 8.26/6.11 (xuntil2p8(s55) | (~until2p7(s55))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25803, 22704, 20434])).
% 8.26/6.11 tff(25805,plain,
% 8.26/6.11 (~until2p7(s55)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25804, 25800])).
% 8.26/6.11 tff(25806,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25807,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25808,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25807, 25806])).
% 8.26/6.11 tff(25809,plain,
% 8.26/6.11 (until2p7(s55) | (~xuntil2p8(s54))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25808, 3991, 22719])).
% 8.26/6.11 tff(25810,plain,
% 8.26/6.11 (~xuntil2p8(s54)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25809, 25805])).
% 8.26/6.11 tff(25811,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25812,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s54) | xuntil2p8(s54) | (~until2p7(s54)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25813,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s54) | xuntil2p8(s54) | (~until2p7(s54))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25812, 25811])).
% 8.26/6.11 tff(25814,plain,
% 8.26/6.11 (xuntil2p8(s54) | (~until2p7(s54))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25813, 22704, 20430])).
% 8.26/6.11 tff(25815,plain,
% 8.26/6.11 (~until2p7(s54)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25814, 25810])).
% 8.26/6.11 tff(25816,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25817,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25818,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25817, 25816])).
% 8.26/6.11 tff(25819,plain,
% 8.26/6.11 (until2p7(s54) | (~xuntil2p8(s53))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25818, 3935, 22719])).
% 8.26/6.11 tff(25820,plain,
% 8.26/6.11 (~xuntil2p8(s53)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25819, 25815])).
% 8.26/6.11 tff(25821,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25822,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s53) | xuntil2p8(s53) | (~until2p7(s53)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25823,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s53) | xuntil2p8(s53) | (~until2p7(s53))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25822, 25821])).
% 8.26/6.11 tff(25824,plain,
% 8.26/6.11 (xuntil2p8(s53) | (~until2p7(s53))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25823, 22704, 20426])).
% 8.26/6.11 tff(25825,plain,
% 8.26/6.11 (~until2p7(s53)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25824, 25820])).
% 8.26/6.11 tff(25826,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25827,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25828,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25827, 25826])).
% 8.26/6.11 tff(25829,plain,
% 8.26/6.11 (until2p7(s53) | (~xuntil2p8(s52))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25828, 3879, 22719])).
% 8.26/6.11 tff(25830,plain,
% 8.26/6.11 (~xuntil2p8(s52)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25829, 25825])).
% 8.26/6.11 tff(25831,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25832,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s52) | xuntil2p8(s52) | (~until2p7(s52)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25833,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s52) | xuntil2p8(s52) | (~until2p7(s52))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25832, 25831])).
% 8.26/6.11 tff(25834,plain,
% 8.26/6.11 (xuntil2p8(s52) | (~until2p7(s52))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25833, 22704, 20422])).
% 8.26/6.11 tff(25835,plain,
% 8.26/6.11 (~until2p7(s52)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25834, 25830])).
% 8.26/6.11 tff(25836,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25837,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25838,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25837, 25836])).
% 8.26/6.11 tff(25839,plain,
% 8.26/6.11 (until2p7(s52) | (~xuntil2p8(s51))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25838, 3823, 22719])).
% 8.26/6.11 tff(25840,plain,
% 8.26/6.11 (~xuntil2p8(s51)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25839, 25835])).
% 8.26/6.11 tff(25841,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25842,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s51) | xuntil2p8(s51) | (~until2p7(s51)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25843,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s51) | xuntil2p8(s51) | (~until2p7(s51))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25842, 25841])).
% 8.26/6.11 tff(25844,plain,
% 8.26/6.11 (xuntil2p8(s51) | (~until2p7(s51))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25843, 22704, 20418])).
% 8.26/6.11 tff(25845,plain,
% 8.26/6.11 (~until2p7(s51)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25844, 25840])).
% 8.26/6.11 tff(25846,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25847,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25848,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25847, 25846])).
% 8.26/6.11 tff(25849,plain,
% 8.26/6.11 (until2p7(s51) | (~xuntil2p8(s50))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25848, 3767, 22719])).
% 8.26/6.11 tff(25850,plain,
% 8.26/6.11 (~xuntil2p8(s50)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25849, 25845])).
% 8.26/6.11 tff(25851,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25852,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s50) | xuntil2p8(s50) | (~until2p7(s50)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25853,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s50) | xuntil2p8(s50) | (~until2p7(s50))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25852, 25851])).
% 8.26/6.11 tff(25854,plain,
% 8.26/6.11 (xuntil2p8(s50) | (~until2p7(s50))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25853, 22704, 20414])).
% 8.26/6.11 tff(25855,plain,
% 8.26/6.11 (~until2p7(s50)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25854, 25850])).
% 8.26/6.11 tff(25856,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25857,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25858,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25857, 25856])).
% 8.26/6.11 tff(25859,plain,
% 8.26/6.11 (until2p7(s50) | (~xuntil2p8(s49))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25858, 3711, 22719])).
% 8.26/6.11 tff(25860,plain,
% 8.26/6.11 (~xuntil2p8(s49)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25859, 25855])).
% 8.26/6.11 tff(25861,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25862,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s49) | xuntil2p8(s49) | (~until2p7(s49)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25863,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s49) | xuntil2p8(s49) | (~until2p7(s49))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 8.26/6.11 tff(25864,plain,
% 8.26/6.11 (xuntil2p8(s49) | (~until2p7(s49))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25863, 22704, 20410])).
% 8.26/6.11 tff(25865,plain,
% 8.26/6.11 (~until2p7(s49)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25864, 25860])).
% 8.26/6.11 tff(25866,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25867,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25868,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25867, 25866])).
% 8.26/6.11 tff(25869,plain,
% 8.26/6.11 (until2p7(s49) | (~xuntil2p8(s48))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25868, 3655, 22719])).
% 8.26/6.11 tff(25870,plain,
% 8.26/6.11 (~xuntil2p8(s48)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25869, 25865])).
% 8.26/6.11 tff(25871,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25872,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s48) | xuntil2p8(s48) | (~until2p7(s48)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25873,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s48) | xuntil2p8(s48) | (~until2p7(s48))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25872, 25871])).
% 8.26/6.11 tff(25874,plain,
% 8.26/6.11 (xuntil2p8(s48) | (~until2p7(s48))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25873, 22704, 20406])).
% 8.26/6.11 tff(25875,plain,
% 8.26/6.11 (~until2p7(s48)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25874, 25870])).
% 8.26/6.11 tff(25876,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25877,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25878,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25877, 25876])).
% 8.26/6.11 tff(25879,plain,
% 8.26/6.11 (until2p7(s48) | (~xuntil2p8(s47))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25878, 3599, 22719])).
% 8.26/6.11 tff(25880,plain,
% 8.26/6.11 (~xuntil2p8(s47)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25879, 25875])).
% 8.26/6.11 tff(25881,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25882,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s47) | xuntil2p8(s47) | (~until2p7(s47)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25883,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s47) | xuntil2p8(s47) | (~until2p7(s47))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25882, 25881])).
% 8.26/6.11 tff(25884,plain,
% 8.26/6.11 (xuntil2p8(s47) | (~until2p7(s47))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25883, 22704, 20402])).
% 8.26/6.11 tff(25885,plain,
% 8.26/6.11 (~until2p7(s47)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25884, 25880])).
% 8.26/6.11 tff(25886,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25887,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25888,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25887, 25886])).
% 8.26/6.11 tff(25889,plain,
% 8.26/6.11 (until2p7(s47) | (~xuntil2p8(s46))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25888, 3543, 22719])).
% 8.26/6.11 tff(25890,plain,
% 8.26/6.11 (~xuntil2p8(s46)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25889, 25885])).
% 8.26/6.11 tff(25891,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25892,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s46) | xuntil2p8(s46) | (~until2p7(s46)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25893,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s46) | xuntil2p8(s46) | (~until2p7(s46))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25892, 25891])).
% 8.26/6.11 tff(25894,plain,
% 8.26/6.11 (xuntil2p8(s46) | (~until2p7(s46))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25893, 22704, 20398])).
% 8.26/6.11 tff(25895,plain,
% 8.26/6.11 (~until2p7(s46)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25894, 25890])).
% 8.26/6.11 tff(25896,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25897,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25898,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25897, 25896])).
% 8.26/6.11 tff(25899,plain,
% 8.26/6.11 (until2p7(s46) | (~xuntil2p8(s45))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25898, 3487, 22719])).
% 8.26/6.11 tff(25900,plain,
% 8.26/6.11 (~xuntil2p8(s45)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25899, 25895])).
% 8.26/6.11 tff(25901,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25902,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s45) | xuntil2p8(s45) | (~until2p7(s45)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25903,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s45) | xuntil2p8(s45) | (~until2p7(s45))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25902, 25901])).
% 8.26/6.11 tff(25904,plain,
% 8.26/6.11 (xuntil2p8(s45) | (~until2p7(s45))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25903, 22704, 20394])).
% 8.26/6.11 tff(25905,plain,
% 8.26/6.11 (~until2p7(s45)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25904, 25900])).
% 8.26/6.11 tff(25906,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25907,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25908,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25907, 25906])).
% 8.26/6.11 tff(25909,plain,
% 8.26/6.11 (until2p7(s45) | (~xuntil2p8(s44))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25908, 3431, 22719])).
% 8.26/6.11 tff(25910,plain,
% 8.26/6.11 (~xuntil2p8(s44)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25909, 25905])).
% 8.26/6.11 tff(25911,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25912,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s44) | xuntil2p8(s44) | (~until2p7(s44)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25913,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s44) | xuntil2p8(s44) | (~until2p7(s44))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25912, 25911])).
% 8.26/6.11 tff(25914,plain,
% 8.26/6.11 (xuntil2p8(s44) | (~until2p7(s44))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25913, 22704, 20390])).
% 8.26/6.11 tff(25915,plain,
% 8.26/6.11 (~until2p7(s44)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25914, 25910])).
% 8.26/6.11 tff(25916,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25917,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25918,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25917, 25916])).
% 8.26/6.11 tff(25919,plain,
% 8.26/6.11 (until2p7(s44) | (~xuntil2p8(s43))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25918, 3375, 22719])).
% 8.26/6.11 tff(25920,plain,
% 8.26/6.11 (~xuntil2p8(s43)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25919, 25915])).
% 8.26/6.11 tff(25921,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25922,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s43) | xuntil2p8(s43) | (~until2p7(s43)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25923,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s43) | xuntil2p8(s43) | (~until2p7(s43))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25922, 25921])).
% 8.26/6.11 tff(25924,plain,
% 8.26/6.11 (xuntil2p8(s43) | (~until2p7(s43))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25923, 22704, 20386])).
% 8.26/6.11 tff(25925,plain,
% 8.26/6.11 (~until2p7(s43)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25924, 25920])).
% 8.26/6.11 tff(25926,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25927,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25928,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25927, 25926])).
% 8.26/6.11 tff(25929,plain,
% 8.26/6.11 (until2p7(s43) | (~xuntil2p8(s42))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25928, 3319, 22719])).
% 8.26/6.11 tff(25930,plain,
% 8.26/6.11 (~xuntil2p8(s42)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25929, 25925])).
% 8.26/6.11 tff(25931,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25932,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s42) | xuntil2p8(s42) | (~until2p7(s42)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25933,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s42) | xuntil2p8(s42) | (~until2p7(s42))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25932, 25931])).
% 8.26/6.11 tff(25934,plain,
% 8.26/6.11 (xuntil2p8(s42) | (~until2p7(s42))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25933, 22704, 20382])).
% 8.26/6.11 tff(25935,plain,
% 8.26/6.11 (~until2p7(s42)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25934, 25930])).
% 8.26/6.11 tff(25936,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25937,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25938,plain,
% 8.26/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25937, 25936])).
% 8.26/6.11 tff(25939,plain,
% 8.26/6.11 (until2p7(s42) | (~xuntil2p8(s41))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25938, 3263, 22719])).
% 8.26/6.11 tff(25940,plain,
% 8.26/6.11 (~xuntil2p8(s41)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25939, 25935])).
% 8.26/6.11 tff(25941,plain,
% 8.26/6.11 (((~![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)))),
% 8.26/6.11 inference(rewrite,[status(thm)],[])).
% 8.26/6.11 tff(25942,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s41) | xuntil2p8(s41) | (~until2p7(s41)))),
% 8.26/6.11 inference(quant_inst,[status(thm)],[])).
% 8.26/6.11 tff(25943,plain,
% 8.26/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s41) | xuntil2p8(s41) | (~until2p7(s41))),
% 8.26/6.11 inference(modus_ponens,[status(thm)],[25942, 25941])).
% 8.26/6.11 tff(25944,plain,
% 8.26/6.11 (xuntil2p8(s41) | (~until2p7(s41))),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25943, 22704, 20378])).
% 8.26/6.11 tff(25945,plain,
% 8.26/6.11 (~until2p7(s41)),
% 8.26/6.11 inference(unit_resolution,[status(thm)],[25944, 25940])).
% 8.26/6.11 tff(25946,plain,
% 8.26/6.11 (((~![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)))),
% 8.34/6.11 inference(rewrite,[status(thm)],[])).
% 8.34/6.11 tff(25947,plain,
% 8.34/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40)))),
% 8.34/6.11 inference(quant_inst,[status(thm)],[])).
% 8.34/6.11 tff(25948,plain,
% 8.34/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40))),
% 8.34/6.11 inference(modus_ponens,[status(thm)],[25947, 25946])).
% 8.34/6.11 tff(25949,plain,
% 8.34/6.11 (until2p7(s41) | (~xuntil2p8(s40))),
% 8.34/6.11 inference(unit_resolution,[status(thm)],[25948, 3207, 22719])).
% 8.34/6.11 tff(25950,plain,
% 8.34/6.11 (~xuntil2p8(s40)),
% 8.34/6.11 inference(unit_resolution,[status(thm)],[25949, 25945])).
% 8.34/6.11 tff(25951,plain,
% 8.34/6.11 (((~![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)))),
% 8.34/6.11 inference(rewrite,[status(thm)],[])).
% 8.34/6.11 tff(25952,plain,
% 8.34/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s40) | xuntil2p8(s40) | (~until2p7(s40)))),
% 8.34/6.11 inference(quant_inst,[status(thm)],[])).
% 8.34/6.11 tff(25953,plain,
% 8.34/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s40) | xuntil2p8(s40) | (~until2p7(s40))),
% 8.34/6.11 inference(modus_ponens,[status(thm)],[25952, 25951])).
% 8.34/6.11 tff(25954,plain,
% 8.34/6.11 (xuntil2p8(s40) | (~until2p7(s40))),
% 8.34/6.11 inference(unit_resolution,[status(thm)],[25953, 22704, 20374])).
% 8.34/6.11 tff(25955,plain,
% 8.34/6.11 (~until2p7(s40)),
% 8.34/6.11 inference(unit_resolution,[status(thm)],[25954, 25950])).
% 8.34/6.11 tff(25956,plain,
% 8.34/6.11 (((~![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)))),
% 8.34/6.11 inference(rewrite,[status(thm)],[])).
% 8.34/6.11 tff(25957,plain,
% 8.34/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39)))),
% 8.34/6.11 inference(quant_inst,[status(thm)],[])).
% 8.34/6.11 tff(25958,plain,
% 8.34/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39))),
% 8.34/6.11 inference(modus_ponens,[status(thm)],[25957, 25956])).
% 8.34/6.11 tff(25959,plain,
% 8.34/6.11 (until2p7(s40) | (~xuntil2p8(s39))),
% 8.34/6.11 inference(unit_resolution,[status(thm)],[25958, 3151, 22719])).
% 8.34/6.11 tff(25960,plain,
% 8.34/6.11 (~xuntil2p8(s39)),
% 8.34/6.11 inference(unit_resolution,[status(thm)],[25959, 25955])).
% 8.34/6.11 tff(25961,plain,
% 8.34/6.11 (((~![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)))),
% 8.34/6.11 inference(rewrite,[status(thm)],[])).
% 8.34/6.11 tff(25962,plain,
% 8.34/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s39) | xuntil2p8(s39) | (~until2p7(s39)))),
% 8.34/6.11 inference(quant_inst,[status(thm)],[])).
% 8.34/6.11 tff(25963,plain,
% 8.34/6.11 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s39) | xuntil2p8(s39) | (~until2p7(s39))),
% 8.34/6.11 inference(modus_ponens,[status(thm)],[25962, 25961])).
% 8.34/6.11 tff(25964,plain,
% 8.34/6.11 (xuntil2p8(s39) | (~until2p7(s39))),
% 8.34/6.11 inference(unit_resolution,[status(thm)],[25963, 22704, 20363])).
% 8.34/6.11 tff(25965,plain,
% 8.34/6.11 (~until2p7(s39)),
% 8.34/6.11 inference(unit_resolution,[status(thm)],[25964, 25960])).
% 8.34/6.11 tff(25966,plain,
% 8.34/6.11 (((~![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)))),
% 8.34/6.11 inference(rewrite,[status(thm)],[])).
% 8.34/6.11 tff(25967,plain,
% 8.34/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38)))),
% 8.34/6.11 inference(quant_inst,[status(thm)],[])).
% 8.34/6.11 tff(25968,plain,
% 8.34/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[25967, 25966])).
% 8.34/6.12 tff(25969,plain,
% 8.34/6.12 (until2p7(s39) | (~xuntil2p8(s38))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25968, 3095, 22719])).
% 8.34/6.12 tff(25970,plain,
% 8.34/6.12 (~xuntil2p8(s38)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25969, 25965])).
% 8.34/6.12 tff(25971,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(25972,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s38) | xuntil2p8(s38) | (~until2p7(s38)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(25973,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s38) | xuntil2p8(s38) | (~until2p7(s38))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[25972, 25971])).
% 8.34/6.12 tff(25974,plain,
% 8.34/6.12 (xuntil2p8(s38) | (~until2p7(s38))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25973, 22704, 20365])).
% 8.34/6.12 tff(25975,plain,
% 8.34/6.12 (~until2p7(s38)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25974, 25970])).
% 8.34/6.12 tff(25976,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(25977,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(25978,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[25977, 25976])).
% 8.34/6.12 tff(25979,plain,
% 8.34/6.12 (until2p7(s38) | (~xuntil2p8(s37))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25978, 3008, 22719])).
% 8.34/6.12 tff(25980,plain,
% 8.34/6.12 (~xuntil2p8(s37)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25979, 25975])).
% 8.34/6.12 tff(25981,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(25982,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s37) | xuntil2p8(s37) | (~until2p7(s37)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(25983,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s37) | xuntil2p8(s37) | (~until2p7(s37))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[25982, 25981])).
% 8.34/6.12 tff(25984,plain,
% 8.34/6.12 (xuntil2p8(s37) | (~until2p7(s37))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25983, 22704, 23115])).
% 8.34/6.12 tff(25985,plain,
% 8.34/6.12 (~until2p7(s37)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25984, 25980])).
% 8.34/6.12 tff(25986,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(25987,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(25988,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[25987, 25986])).
% 8.34/6.12 tff(25989,plain,
% 8.34/6.12 (until2p7(s37) | (~xuntil2p8(s36))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25988, 2794, 22719])).
% 8.34/6.12 tff(25990,plain,
% 8.34/6.12 (~xuntil2p8(s36)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25989, 25985])).
% 8.34/6.12 tff(25991,plain,
% 8.34/6.12 (m_main_v_state(s37, c_busy)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[3074, 3054])).
% 8.34/6.12 tff(25992,plain,
% 8.34/6.12 (~always3(s37)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[3045, 72, 25991])).
% 8.34/6.12 tff(25993,plain,
% 8.34/6.12 ($false),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[2802, 25992, 3068])).
% 8.34/6.12 tff(25994,plain,(~node4(s36)), inference(lemma,lemma(discharge,[]))).
% 8.34/6.12 tff(25995,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(25996,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s36) | xuntil2p8(s36) | (~until2p7(s36)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(25997,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s36) | xuntil2p8(s36) | (~until2p7(s36))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[25996, 25995])).
% 8.34/6.12 tff(25998,plain,
% 8.34/6.12 (xuntil2p8(s36) | (~until2p7(s36))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25997, 22704, 25994])).
% 8.34/6.12 tff(25999,plain,
% 8.34/6.12 (~until2p7(s36)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[25998, 25990])).
% 8.34/6.12 tff(26000,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26001,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26002,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26001, 26000])).
% 8.34/6.12 tff(26003,plain,
% 8.34/6.12 (until2p7(s36) | (~xuntil2p8(s35))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26002, 2713, 22719])).
% 8.34/6.12 tff(26004,plain,
% 8.34/6.12 (~xuntil2p8(s35)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26003, 25999])).
% 8.34/6.12 tff(26005,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26006,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s35) | xuntil2p8(s35) | (~until2p7(s35)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26007,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s35) | xuntil2p8(s35) | (~until2p7(s35))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26006, 26005])).
% 8.34/6.12 tff(26008,plain,
% 8.34/6.12 (xuntil2p8(s35) | (~until2p7(s35))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26007, 22704, 23118])).
% 8.34/6.12 tff(26009,plain,
% 8.34/6.12 (~until2p7(s35)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26008, 26004])).
% 8.34/6.12 tff(26010,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26011,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26012,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26011, 26010])).
% 8.34/6.12 tff(26013,plain,
% 8.34/6.12 (until2p7(s35) | (~xuntil2p8(s34))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26012, 2675, 22719])).
% 8.34/6.12 tff(26014,plain,
% 8.34/6.12 (~xuntil2p8(s34)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26013, 26009])).
% 8.34/6.12 tff(26015,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26016,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s34) | xuntil2p8(s34) | (~until2p7(s34)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26017,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s34) | xuntil2p8(s34) | (~until2p7(s34))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26016, 26015])).
% 8.34/6.12 tff(26018,plain,
% 8.34/6.12 (xuntil2p8(s34) | (~until2p7(s34))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26017, 22704, 23120])).
% 8.34/6.12 tff(26019,plain,
% 8.34/6.12 (~until2p7(s34)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26018, 26014])).
% 8.34/6.12 tff(26020,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26021,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26022,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26021, 26020])).
% 8.34/6.12 tff(26023,plain,
% 8.34/6.12 (until2p7(s34) | (~xuntil2p8(s33))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26022, 2010, 22719])).
% 8.34/6.12 tff(26024,plain,
% 8.34/6.12 (~xuntil2p8(s33)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26023, 26019])).
% 8.34/6.12 tff(26025,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26026,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s33) | xuntil2p8(s33) | (~until2p7(s33)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26027,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s33) | xuntil2p8(s33) | (~until2p7(s33))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26026, 26025])).
% 8.34/6.12 tff(26028,plain,
% 8.34/6.12 (xuntil2p8(s33) | (~until2p7(s33))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26027, 22704, 23122])).
% 8.34/6.12 tff(26029,plain,
% 8.34/6.12 (~until2p7(s33)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26028, 26024])).
% 8.34/6.12 tff(26030,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26031,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26032,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26031, 26030])).
% 8.34/6.12 tff(26033,plain,
% 8.34/6.12 (until2p7(s33) | (~xuntil2p8(s32))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26032, 1571, 22719])).
% 8.34/6.12 tff(26034,plain,
% 8.34/6.12 (~xuntil2p8(s32)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26033, 26029])).
% 8.34/6.12 tff(26035,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26036,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s32) | xuntil2p8(s32) | (~until2p7(s32)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26037,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s32) | xuntil2p8(s32) | (~until2p7(s32))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26036, 26035])).
% 8.34/6.12 tff(26038,plain,
% 8.34/6.12 (xuntil2p8(s32) | (~until2p7(s32))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26037, 22704, 1651])).
% 8.34/6.12 tff(26039,plain,
% 8.34/6.12 (~until2p7(s32)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26038, 26034])).
% 8.34/6.12 tff(26040,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26041,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26042,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26041, 26040])).
% 8.34/6.12 tff(26043,plain,
% 8.34/6.12 (until2p7(s32) | (~xuntil2p8(s31))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26042, 1583, 22719])).
% 8.34/6.12 tff(26044,plain,
% 8.34/6.12 (~xuntil2p8(s31)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26043, 26039])).
% 8.34/6.12 tff(26045,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26046,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s31) | xuntil2p8(s31) | (~until2p7(s31)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26047,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s31) | xuntil2p8(s31) | (~until2p7(s31))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26046, 26045])).
% 8.34/6.12 tff(26048,plain,
% 8.34/6.12 (xuntil2p8(s31) | (~until2p7(s31))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26047, 22704, 23125])).
% 8.34/6.12 tff(26049,plain,
% 8.34/6.12 (~until2p7(s31)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26048, 26044])).
% 8.34/6.12 tff(26050,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26051,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26052,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26051, 26050])).
% 8.34/6.12 tff(26053,plain,
% 8.34/6.12 (until2p7(s31) | (~xuntil2p8(s30))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26052, 42, 22719])).
% 8.34/6.12 tff(26054,plain,
% 8.34/6.12 (~xuntil2p8(s30)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26053, 26049])).
% 8.34/6.12 tff(26055,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26056,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s30) | xuntil2p8(s30) | (~until2p7(s30)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26057,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s30) | xuntil2p8(s30) | (~until2p7(s30))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26056, 26055])).
% 8.34/6.12 tff(26058,plain,
% 8.34/6.12 (xuntil2p8(s30) | (~until2p7(s30))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26057, 22704, 23127])).
% 8.34/6.12 tff(26059,plain,
% 8.34/6.12 (~until2p7(s30)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26058, 26054])).
% 8.34/6.12 tff(26060,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26061,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26062,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26061, 26060])).
% 8.34/6.12 tff(26063,plain,
% 8.34/6.12 (until2p7(s30) | (~xuntil2p8(s29))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26062, 1689, 22719])).
% 8.34/6.12 tff(26064,plain,
% 8.34/6.12 (~xuntil2p8(s29)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26063, 26059])).
% 8.34/6.12 tff(26065,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26066,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s29) | xuntil2p8(s29) | (~until2p7(s29)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26067,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s29) | xuntil2p8(s29) | (~until2p7(s29))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26066, 26065])).
% 8.34/6.12 tff(26068,plain,
% 8.34/6.12 (xuntil2p8(s29) | (~until2p7(s29))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26067, 22704, 23129])).
% 8.34/6.12 tff(26069,plain,
% 8.34/6.12 (~until2p7(s29)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26068, 26064])).
% 8.34/6.12 tff(26070,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26071,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26072,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26071, 26070])).
% 8.34/6.12 tff(26073,plain,
% 8.34/6.12 (until2p7(s29) | (~xuntil2p8(s28))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26072, 1718, 22719])).
% 8.34/6.12 tff(26074,plain,
% 8.34/6.12 (~xuntil2p8(s28)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26073, 26069])).
% 8.34/6.12 tff(26075,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26076,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s28) | xuntil2p8(s28) | (~until2p7(s28)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26077,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s28) | xuntil2p8(s28) | (~until2p7(s28))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26076, 26075])).
% 8.34/6.12 tff(26078,plain,
% 8.34/6.12 (xuntil2p8(s28) | (~until2p7(s28))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26077, 22704, 23131])).
% 8.34/6.12 tff(26079,plain,
% 8.34/6.12 (~until2p7(s28)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26078, 26074])).
% 8.34/6.12 tff(26080,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26081,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26082,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26081, 26080])).
% 8.34/6.12 tff(26083,plain,
% 8.34/6.12 (until2p7(s28) | (~xuntil2p8(s27))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26082, 1747, 22719])).
% 8.34/6.12 tff(26084,plain,
% 8.34/6.12 (~xuntil2p8(s27)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26083, 26079])).
% 8.34/6.12 tff(26085,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26086,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s27) | xuntil2p8(s27) | (~until2p7(s27)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26087,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s27) | xuntil2p8(s27) | (~until2p7(s27))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26086, 26085])).
% 8.34/6.12 tff(26088,plain,
% 8.34/6.12 (xuntil2p8(s27) | (~until2p7(s27))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26087, 22704, 2311])).
% 8.34/6.12 tff(26089,plain,
% 8.34/6.12 (~until2p7(s27)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26088, 26084])).
% 8.34/6.12 tff(26090,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26091,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26092,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26091, 26090])).
% 8.34/6.12 tff(26093,plain,
% 8.34/6.12 (until2p7(s27) | (~xuntil2p8(s26))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26092, 1776, 22719])).
% 8.34/6.12 tff(26094,plain,
% 8.34/6.12 (~xuntil2p8(s26)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26093, 26089])).
% 8.34/6.12 tff(26095,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26096,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s26) | xuntil2p8(s26) | (~until2p7(s26)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26097,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s26) | xuntil2p8(s26) | (~until2p7(s26))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26096, 26095])).
% 8.34/6.12 tff(26098,plain,
% 8.34/6.12 (xuntil2p8(s26) | (~until2p7(s26))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26097, 22704, 23134])).
% 8.34/6.12 tff(26099,plain,
% 8.34/6.12 (~until2p7(s26)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26098, 26094])).
% 8.34/6.12 tff(26100,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26101,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26102,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26101, 26100])).
% 8.34/6.12 tff(26103,plain,
% 8.34/6.12 (until2p7(s26) | (~xuntil2p8(s25))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26102, 1805, 22719])).
% 8.34/6.12 tff(26104,plain,
% 8.34/6.12 (~xuntil2p8(s25)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26103, 26099])).
% 8.34/6.12 tff(26105,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26106,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s25) | xuntil2p8(s25) | (~until2p7(s25)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26107,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s25) | xuntil2p8(s25) | (~until2p7(s25))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26106, 26105])).
% 8.34/6.12 tff(26108,plain,
% 8.34/6.12 (xuntil2p8(s25) | (~until2p7(s25))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26107, 22704, 23136])).
% 8.34/6.12 tff(26109,plain,
% 8.34/6.12 (~until2p7(s25)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26108, 26104])).
% 8.34/6.12 tff(26110,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26111,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26112,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26111, 26110])).
% 8.34/6.12 tff(26113,plain,
% 8.34/6.12 (until2p7(s25) | (~xuntil2p8(s24))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26112, 1822, 22719])).
% 8.34/6.12 tff(26114,plain,
% 8.34/6.12 (~xuntil2p8(s24)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26113, 26109])).
% 8.34/6.12 tff(26115,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26116,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s24) | xuntil2p8(s24) | (~until2p7(s24)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26117,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s24) | xuntil2p8(s24) | (~until2p7(s24))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26116, 26115])).
% 8.34/6.12 tff(26118,plain,
% 8.34/6.12 (xuntil2p8(s24) | (~until2p7(s24))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26117, 22704, 23138])).
% 8.34/6.12 tff(26119,plain,
% 8.34/6.12 (~until2p7(s24)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26118, 26114])).
% 8.34/6.12 tff(26120,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26121,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26122,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26121, 26120])).
% 8.34/6.12 tff(26123,plain,
% 8.34/6.12 (until2p7(s24) | (~xuntil2p8(s23))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26122, 1834, 22719])).
% 8.34/6.12 tff(26124,plain,
% 8.34/6.12 (~xuntil2p8(s23)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26123, 26119])).
% 8.34/6.12 tff(26125,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26126,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s23) | xuntil2p8(s23) | (~until2p7(s23)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26127,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s23) | xuntil2p8(s23) | (~until2p7(s23))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26126, 26125])).
% 8.34/6.12 tff(26128,plain,
% 8.34/6.12 (xuntil2p8(s23) | (~until2p7(s23))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26127, 22704, 23140])).
% 8.34/6.12 tff(26129,plain,
% 8.34/6.12 (~until2p7(s23)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26128, 26124])).
% 8.34/6.12 tff(26130,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26131,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26132,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26131, 26130])).
% 8.34/6.12 tff(26133,plain,
% 8.34/6.12 (until2p7(s23) | (~xuntil2p8(s22))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26132, 1846, 22719])).
% 8.34/6.12 tff(26134,plain,
% 8.34/6.12 (~xuntil2p8(s22)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26133, 26129])).
% 8.34/6.12 tff(26135,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26136,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s22) | xuntil2p8(s22) | (~until2p7(s22)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26137,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s22) | xuntil2p8(s22) | (~until2p7(s22))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26136, 26135])).
% 8.34/6.12 tff(26138,plain,
% 8.34/6.12 (xuntil2p8(s22) | (~until2p7(s22))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26137, 22704, 23142])).
% 8.34/6.12 tff(26139,plain,
% 8.34/6.12 (~until2p7(s22)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26138, 26134])).
% 8.34/6.12 tff(26140,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26141,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26142,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26141, 26140])).
% 8.34/6.12 tff(26143,plain,
% 8.34/6.12 (until2p7(s22) | (~xuntil2p8(s21))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26142, 232, 22719])).
% 8.34/6.12 tff(26144,plain,
% 8.34/6.12 (~xuntil2p8(s21)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26143, 26139])).
% 8.34/6.12 tff(26145,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26146,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s21) | xuntil2p8(s21) | (~until2p7(s21)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26147,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s21) | xuntil2p8(s21) | (~until2p7(s21))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26146, 26145])).
% 8.34/6.12 tff(26148,plain,
% 8.34/6.12 (xuntil2p8(s21) | (~until2p7(s21))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26147, 22704, 23144])).
% 8.34/6.12 tff(26149,plain,
% 8.34/6.12 (~until2p7(s21)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26148, 26144])).
% 8.34/6.12 tff(26150,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26151,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26152,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26151, 26150])).
% 8.34/6.12 tff(26153,plain,
% 8.34/6.12 (until2p7(s21) | (~xuntil2p8(s20))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26152, 1859, 22719])).
% 8.34/6.12 tff(26154,plain,
% 8.34/6.12 (~xuntil2p8(s20)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26153, 26149])).
% 8.34/6.12 tff(26155,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26156,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s20) | xuntil2p8(s20) | (~until2p7(s20)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26157,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s20) | xuntil2p8(s20) | (~until2p7(s20))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26156, 26155])).
% 8.34/6.12 tff(26158,plain,
% 8.34/6.12 (xuntil2p8(s20) | (~until2p7(s20))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26157, 22704, 23146])).
% 8.34/6.12 tff(26159,plain,
% 8.34/6.12 (~until2p7(s20)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26158, 26154])).
% 8.34/6.12 tff(26160,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26161,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26162,plain,
% 8.34/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26161, 26160])).
% 8.34/6.12 tff(26163,plain,
% 8.34/6.12 (until2p7(s20) | (~xuntil2p8(s19))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26162, 1871, 22719])).
% 8.34/6.12 tff(26164,plain,
% 8.34/6.12 (~xuntil2p8(s19)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26163, 26159])).
% 8.34/6.12 tff(26165,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.12 inference(rewrite,[status(thm)],[])).
% 8.34/6.12 tff(26166,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s19) | xuntil2p8(s19) | (~until2p7(s19)))),
% 8.34/6.12 inference(quant_inst,[status(thm)],[])).
% 8.34/6.12 tff(26167,plain,
% 8.34/6.12 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s19) | xuntil2p8(s19) | (~until2p7(s19))),
% 8.34/6.12 inference(modus_ponens,[status(thm)],[26166, 26165])).
% 8.34/6.12 tff(26168,plain,
% 8.34/6.12 (xuntil2p8(s19) | (~until2p7(s19))),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26167, 22704, 23148])).
% 8.34/6.12 tff(26169,plain,
% 8.34/6.12 (~until2p7(s19)),
% 8.34/6.12 inference(unit_resolution,[status(thm)],[26168, 26164])).
% 8.34/6.12 tff(26170,plain,
% 8.34/6.12 (((~![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)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26171,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26172,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26171, 26170])).
% 8.34/6.13 tff(26173,plain,
% 8.34/6.13 (until2p7(s19) | (~xuntil2p8(s18))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26172, 281, 22719])).
% 8.34/6.13 tff(26174,plain,
% 8.34/6.13 (~xuntil2p8(s18)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26173, 26169])).
% 8.34/6.13 tff(26175,plain,
% 8.34/6.13 (((~![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)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26176,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s18) | xuntil2p8(s18) | (~until2p7(s18)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26177,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s18) | xuntil2p8(s18) | (~until2p7(s18))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26176, 26175])).
% 8.34/6.13 tff(26178,plain,
% 8.34/6.13 (xuntil2p8(s18) | (~until2p7(s18))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26177, 22704, 23150])).
% 8.34/6.13 tff(26179,plain,
% 8.34/6.13 (~until2p7(s18)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26178, 26174])).
% 8.34/6.13 tff(26180,plain,
% 8.34/6.13 (((~![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)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26181,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26182,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26181, 26180])).
% 8.34/6.13 tff(26183,plain,
% 8.34/6.13 (until2p7(s18) | (~xuntil2p8(s17))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26182, 1510, 22719])).
% 8.34/6.13 tff(26184,plain,
% 8.34/6.13 (~xuntil2p8(s17)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26183, 26179])).
% 8.34/6.13 tff(26185,plain,
% 8.34/6.13 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26186,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26187,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s17) | xuntil2p8(s17) | (~until2p7(s17))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26186, 26185])).
% 8.34/6.13 tff(26188,plain,
% 8.34/6.13 (xuntil2p8(s17) | (~until2p7(s17))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26187, 22704, 23152])).
% 8.34/6.13 tff(26189,plain,
% 8.34/6.13 (~until2p7(s17)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26188, 26184])).
% 8.34/6.13 tff(26190,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26191,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26192,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26191, 26190])).
% 8.34/6.13 tff(26193,plain,
% 8.34/6.13 (until2p7(s17) | (~xuntil2p8(s16))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26192, 1472, 22719])).
% 8.34/6.13 tff(26194,plain,
% 8.34/6.13 (~xuntil2p8(s16)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26193, 26189])).
% 8.34/6.13 tff(26195,assumption,(node4(s16)), introduced(assumption)).
% 8.34/6.13 tff(26196,plain,
% 8.34/6.13 (m_main_v_request(s16)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[1543, 28, 26195])).
% 8.34/6.13 tff(26197,plain,
% 8.34/6.13 (always3(s16)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[1484, 16, 26195])).
% 8.34/6.13 tff(26198,plain,
% 8.34/6.13 (always3(s17)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[1480, 26197])).
% 8.34/6.13 tff(26199,plain,
% 8.34/6.13 (~m_main_v_state(s17, c_busy)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[1506, 72, 26198])).
% 8.34/6.13 tff(26200,plain,
% 8.34/6.13 (~m_main_v_state(s16, c_ready)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[1552, 26199, 26196])).
% 8.34/6.13 tff(26201,plain,
% 8.34/6.13 (~m_main_v_state(s16, c_busy)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[1425, 72, 26197])).
% 8.34/6.13 tff(26202,plain,
% 8.34/6.13 ($false),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[1558, 89, 26201, 26200])).
% 8.34/6.13 tff(26203,plain,(~node4(s16)), inference(lemma,lemma(discharge,[]))).
% 8.34/6.13 tff(26204,plain,
% 8.34/6.13 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26205,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26206,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s16) | xuntil2p8(s16) | (~until2p7(s16))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26205, 26204])).
% 8.34/6.13 tff(26207,plain,
% 8.34/6.13 (xuntil2p8(s16) | (~until2p7(s16))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26206, 22704, 26203])).
% 8.34/6.13 tff(26208,plain,
% 8.34/6.13 (~until2p7(s16)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26207, 26194])).
% 8.34/6.13 tff(26209,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26210,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26211,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26210, 26209])).
% 8.34/6.13 tff(26212,plain,
% 8.34/6.13 (until2p7(s16) | (~xuntil2p8(s15))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26211, 1410, 22719])).
% 8.34/6.13 tff(26213,plain,
% 8.34/6.13 (~xuntil2p8(s15)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26212, 26208])).
% 8.34/6.13 tff(26214,plain,
% 8.34/6.13 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26215,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26216,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s15) | xuntil2p8(s15) | (~until2p7(s15))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26215, 26214])).
% 8.34/6.13 tff(26217,plain,
% 8.34/6.13 (xuntil2p8(s15) | (~until2p7(s15))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26216, 22704, 23155])).
% 8.34/6.13 tff(26218,plain,
% 8.34/6.13 (~until2p7(s15)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26217, 26213])).
% 8.34/6.13 tff(26219,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26220,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26221,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26220, 26219])).
% 8.34/6.13 tff(26222,plain,
% 8.34/6.13 (until2p7(s15) | (~xuntil2p8(s14))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26221, 1275, 22719])).
% 8.34/6.13 tff(26223,plain,
% 8.34/6.13 (~xuntil2p8(s14)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26222, 26218])).
% 8.34/6.13 tff(26224,plain,
% 8.34/6.13 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26225,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26226,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s14) | xuntil2p8(s14) | (~until2p7(s14))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26225, 26224])).
% 8.34/6.13 tff(26227,plain,
% 8.34/6.13 (xuntil2p8(s14) | (~until2p7(s14))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26226, 22704, 1306])).
% 8.34/6.13 tff(26228,plain,
% 8.34/6.13 (~until2p7(s14)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26227, 26223])).
% 8.34/6.13 tff(26229,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26230,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26231,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26230, 26229])).
% 8.34/6.13 tff(26232,plain,
% 8.34/6.13 (until2p7(s14) | (~xuntil2p8(s13))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26231, 1158, 22719])).
% 8.34/6.13 tff(26233,plain,
% 8.34/6.13 (~xuntil2p8(s13)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26232, 26228])).
% 8.34/6.13 tff(26234,plain,
% 8.34/6.13 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26235,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26236,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s13) | xuntil2p8(s13) | (~until2p7(s13))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26235, 26234])).
% 8.34/6.13 tff(26237,plain,
% 8.34/6.13 (xuntil2p8(s13) | (~until2p7(s13))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26236, 22704, 23158])).
% 8.34/6.13 tff(26238,plain,
% 8.34/6.13 (~until2p7(s13)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26237, 26233])).
% 8.34/6.13 tff(26239,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26240,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26241,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26240, 26239])).
% 8.34/6.13 tff(26242,plain,
% 8.34/6.13 (until2p7(s13) | (~xuntil2p8(s12))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26241, 1024, 22719])).
% 8.34/6.13 tff(26243,plain,
% 8.34/6.13 (~xuntil2p8(s12)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26242, 26238])).
% 8.34/6.13 tff(26244,plain,
% 8.34/6.13 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26245,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26246,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s12) | xuntil2p8(s12) | (~until2p7(s12))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26245, 26244])).
% 8.34/6.13 tff(26247,plain,
% 8.34/6.13 (xuntil2p8(s12) | (~until2p7(s12))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26246, 22704, 1104])).
% 8.34/6.13 tff(26248,plain,
% 8.34/6.13 (~until2p7(s12)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26247, 26243])).
% 8.34/6.13 tff(26249,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26250,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26251,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26250, 26249])).
% 8.34/6.13 tff(26252,plain,
% 8.34/6.13 (until2p7(s12) | (~xuntil2p8(s11))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26251, 1036, 22719])).
% 8.34/6.13 tff(26253,plain,
% 8.34/6.13 (~xuntil2p8(s11)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26252, 26248])).
% 8.34/6.13 tff(26254,plain,
% 8.34/6.13 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26255,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26256,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s11) | xuntil2p8(s11) | (~until2p7(s11))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26255, 26254])).
% 8.34/6.13 tff(26257,plain,
% 8.34/6.13 (xuntil2p8(s11) | (~until2p7(s11))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26256, 22704, 23161])).
% 8.34/6.13 tff(26258,plain,
% 8.34/6.13 (~until2p7(s11)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26257, 26253])).
% 8.34/6.13 tff(26259,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26260,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26261,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26260, 26259])).
% 8.34/6.13 tff(26262,plain,
% 8.34/6.13 (until2p7(s11) | (~xuntil2p8(s10))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26261, 1120, 22719])).
% 8.34/6.13 tff(26263,plain,
% 8.34/6.13 (~xuntil2p8(s10)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26262, 26258])).
% 8.34/6.13 tff(26264,plain,
% 8.34/6.13 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26265,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26266,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s10) | xuntil2p8(s10) | (~until2p7(s10))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26265, 26264])).
% 8.34/6.13 tff(26267,plain,
% 8.34/6.13 (xuntil2p8(s10) | (~until2p7(s10))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26266, 22704, 23163])).
% 8.34/6.13 tff(26268,plain,
% 8.34/6.13 (~until2p7(s10)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26267, 26263])).
% 8.34/6.13 tff(26269,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26270,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26271,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26270, 26269])).
% 8.34/6.13 tff(26272,plain,
% 8.34/6.13 (until2p7(s10) | (~xuntil2p8(s9))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26271, 863, 22719])).
% 8.34/6.13 tff(26273,plain,
% 8.34/6.13 (~xuntil2p8(s9)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26272, 26268])).
% 8.34/6.13 tff(26274,plain,
% 8.34/6.13 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26275,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26276,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s9) | xuntil2p8(s9) | (~until2p7(s9))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26275, 26274])).
% 8.34/6.13 tff(26277,plain,
% 8.34/6.13 (xuntil2p8(s9) | (~until2p7(s9))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26276, 22704, 23165])).
% 8.34/6.13 tff(26278,plain,
% 8.34/6.13 (~until2p7(s9)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26277, 26273])).
% 8.34/6.13 tff(26279,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26280,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26281,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26280, 26279])).
% 8.34/6.13 tff(26282,plain,
% 8.34/6.13 (until2p7(s9) | (~xuntil2p8(s8))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26281, 735, 22719])).
% 8.34/6.13 tff(26283,plain,
% 8.34/6.13 (~xuntil2p8(s8)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26282, 26278])).
% 8.34/6.13 tff(26284,plain,
% 8.34/6.13 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26285,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26286,plain,
% 8.34/6.13 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s8) | xuntil2p8(s8) | (~until2p7(s8))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26285, 26284])).
% 8.34/6.13 tff(26287,plain,
% 8.34/6.13 (xuntil2p8(s8) | (~until2p7(s8))),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26286, 22704, 23167])).
% 8.34/6.13 tff(26288,plain,
% 8.34/6.13 (~until2p7(s8)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26287, 26283])).
% 8.34/6.13 tff(26289,assumption,(~until2p7(s8)), introduced(assumption)).
% 8.34/6.13 tff(26290,assumption,(trans(s349, s8)), introduced(assumption)).
% 8.34/6.13 tff(26291,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s8)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26292,plain,
% 8.34/6.13 (((~trans(s349, s8)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s8)) <=> (until2p7(s8) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s8)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26293,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s8)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s8))))),
% 8.34/6.13 inference(monotonicity,[status(thm)],[26292])).
% 8.34/6.13 tff(26294,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s8)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s8)))),
% 8.34/6.13 inference(transitivity,[status(thm)],[26293, 26291])).
% 8.34/6.13 tff(26295,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s8)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s8))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26296,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s8))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26295, 26294])).
% 8.34/6.13 tff(26297,plain,
% 8.34/6.13 ($false),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26296, 22690, 26290, 23114, 26289, 24569])).
% 8.34/6.13 tff(26298,plain,((~trans(s349, s8)) | until2p7(s8) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.13 tff(26299,plain,
% 8.34/6.13 (~trans(s349, s8)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26298, 26288, 22676])).
% 8.34/6.13 tff(26300,assumption,(~until2p7(s156)), introduced(assumption)).
% 8.34/6.13 tff(26301,assumption,(trans(s349, s156)), introduced(assumption)).
% 8.34/6.13 tff(26302,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s156) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s156)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s156)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26303,plain,
% 8.34/6.13 (((~trans(s349, s156)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s156)) <=> (until2p7(s156) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s156)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26304,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s156)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s156) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s156))))),
% 8.34/6.13 inference(monotonicity,[status(thm)],[26303])).
% 8.34/6.13 tff(26305,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s156)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s156)))),
% 8.34/6.13 inference(transitivity,[status(thm)],[26304, 26302])).
% 8.34/6.13 tff(26306,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s156)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s156))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26307,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s156))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26306, 26305])).
% 8.34/6.13 tff(26308,plain,
% 8.34/6.13 ($false),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26307, 22690, 26301, 23114, 26300, 24569])).
% 8.34/6.13 tff(26309,plain,((~trans(s349, s156)) | until2p7(s156) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.13 tff(26310,plain,
% 8.34/6.13 (~trans(s349, s156)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26309, 24740, 22676])).
% 8.34/6.13 tff(26311,assumption,(~until2p7(s303)), introduced(assumption)).
% 8.34/6.13 tff(26312,assumption,(trans(s349, s303)), introduced(assumption)).
% 8.34/6.13 tff(26313,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s303) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s303)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s303) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s303)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26314,plain,
% 8.34/6.13 (((~trans(s349, s303)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s303)) <=> (until2p7(s303) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s303)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26315,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s303)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s303) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s303))))),
% 8.34/6.13 inference(monotonicity,[status(thm)],[26314])).
% 8.34/6.13 tff(26316,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s303)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s303) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s303)))),
% 8.34/6.13 inference(transitivity,[status(thm)],[26315, 26313])).
% 8.34/6.13 tff(26317,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s303)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s303))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26318,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s303) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s303))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26317, 26316])).
% 8.34/6.13 tff(26319,plain,
% 8.34/6.13 ($false),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26318, 22690, 26312, 23114, 26311, 24569])).
% 8.34/6.13 tff(26320,plain,((~trans(s349, s303)) | until2p7(s303) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.13 tff(26321,plain,
% 8.34/6.13 (~trans(s349, s303)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26320, 23258, 22676])).
% 8.34/6.13 tff(26322,assumption,(~until2p7(s200)), introduced(assumption)).
% 8.34/6.13 tff(26323,assumption,(trans(s349, s200)), introduced(assumption)).
% 8.34/6.13 tff(26324,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s200) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s200)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s200) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s200)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26325,plain,
% 8.34/6.13 (((~trans(s349, s200)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s200)) <=> (until2p7(s200) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s200)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26326,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s200)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s200) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s200))))),
% 8.34/6.13 inference(monotonicity,[status(thm)],[26325])).
% 8.34/6.13 tff(26327,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s200)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s200) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s200)))),
% 8.34/6.13 inference(transitivity,[status(thm)],[26326, 26324])).
% 8.34/6.13 tff(26328,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s200)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s200))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26329,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s200) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s200))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26328, 26327])).
% 8.34/6.13 tff(26330,plain,
% 8.34/6.13 ($false),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26329, 22690, 26323, 23114, 26322, 24569])).
% 8.34/6.13 tff(26331,plain,((~trans(s349, s200)) | until2p7(s200) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.13 tff(26332,plain,
% 8.34/6.13 (~trans(s349, s200)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26331, 24288, 22676])).
% 8.34/6.13 tff(26333,assumption,(~until2p7(s33)), introduced(assumption)).
% 8.34/6.13 tff(26334,assumption,(trans(s349, s33)), introduced(assumption)).
% 8.34/6.13 tff(26335,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s33)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26336,plain,
% 8.34/6.13 (((~trans(s349, s33)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s33)) <=> (until2p7(s33) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s33)))),
% 8.34/6.13 inference(rewrite,[status(thm)],[])).
% 8.34/6.13 tff(26337,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s33)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s33))))),
% 8.34/6.13 inference(monotonicity,[status(thm)],[26336])).
% 8.34/6.13 tff(26338,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s33)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s33)))),
% 8.34/6.13 inference(transitivity,[status(thm)],[26337, 26335])).
% 8.34/6.13 tff(26339,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s33)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s33))),
% 8.34/6.13 inference(quant_inst,[status(thm)],[])).
% 8.34/6.13 tff(26340,plain,
% 8.34/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s33))),
% 8.34/6.13 inference(modus_ponens,[status(thm)],[26339, 26338])).
% 8.34/6.13 tff(26341,plain,
% 8.34/6.13 ($false),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26340, 22690, 26334, 23114, 26333, 24569])).
% 8.34/6.13 tff(26342,plain,((~trans(s349, s33)) | until2p7(s33) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.13 tff(26343,plain,
% 8.34/6.13 (~trans(s349, s33)),
% 8.34/6.13 inference(unit_resolution,[status(thm)],[26342, 26029, 22676])).
% 8.34/6.13 tff(26344,assumption,(~until2p7(s148)), introduced(assumption)).
% 8.34/6.13 tff(26345,assumption,(trans(s349, s148)), introduced(assumption)).
% 8.34/6.13 tff(26346,plain,
% 8.34/6.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s148) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s148)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s148)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26347,plain,
% 8.34/6.14 (((~trans(s349, s148)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s148)) <=> (until2p7(s148) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s148)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26348,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s148)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s148) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s148))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26347])).
% 8.34/6.14 tff(26349,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s148)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s148)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26348, 26346])).
% 8.34/6.14 tff(26350,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s148)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s148))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26351,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s148))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26350, 26349])).
% 8.34/6.14 tff(26352,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26351, 22690, 26345, 23114, 26344, 24569])).
% 8.34/6.14 tff(26353,plain,((~trans(s349, s148)) | until2p7(s148) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26354,plain,
% 8.34/6.14 (~trans(s349, s148)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26353, 24820, 22676])).
% 8.34/6.14 tff(26355,assumption,(~until2p7(s25)), introduced(assumption)).
% 8.34/6.14 tff(26356,assumption,(trans(s349, s25)), introduced(assumption)).
% 8.34/6.14 tff(26357,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s25)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26358,plain,
% 8.34/6.14 (((~trans(s349, s25)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s25)) <=> (until2p7(s25) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s25)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26359,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s25)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s25))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26358])).
% 8.34/6.14 tff(26360,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s25)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s25)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26359, 26357])).
% 8.34/6.14 tff(26361,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s25)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s25))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26362,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s25))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26361, 26360])).
% 8.34/6.14 tff(26363,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26362, 22690, 26356, 23114, 26355, 24569])).
% 8.34/6.14 tff(26364,plain,((~trans(s349, s25)) | until2p7(s25) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26365,plain,
% 8.34/6.14 (~trans(s349, s25)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26364, 26109, 22676])).
% 8.34/6.14 tff(26366,assumption,(~until2p7(s65)), introduced(assumption)).
% 8.34/6.14 tff(26367,assumption,(trans(s349, s65)), introduced(assumption)).
% 8.34/6.14 tff(26368,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s65) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s65)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26369,plain,
% 8.34/6.14 (((~trans(s349, s65)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s65)) <=> (until2p7(s65) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s65)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26370,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s65)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s65) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s65))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26369])).
% 8.34/6.14 tff(26371,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s65)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s65)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26370, 26368])).
% 8.34/6.14 tff(26372,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s65)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s65))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26373,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s65))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26372, 26371])).
% 8.34/6.14 tff(26374,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26373, 22690, 26367, 23114, 26366, 24569])).
% 8.34/6.14 tff(26375,plain,((~trans(s349, s65)) | until2p7(s65) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26376,plain,
% 8.34/6.14 (~trans(s349, s65)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26375, 25694, 22676])).
% 8.34/6.14 tff(26377,assumption,(~until2p7(s40)), introduced(assumption)).
% 8.34/6.14 tff(26378,assumption,(trans(s349, s40)), introduced(assumption)).
% 8.34/6.14 tff(26379,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s40)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26380,plain,
% 8.34/6.14 (((~trans(s349, s40)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s40)) <=> (until2p7(s40) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s40)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26381,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s40)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s40))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26380])).
% 8.34/6.14 tff(26382,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s40)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s40)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26381, 26379])).
% 8.34/6.14 tff(26383,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s40)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s40))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26384,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s40))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26383, 26382])).
% 8.34/6.14 tff(26385,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26384, 22690, 26378, 23114, 26377, 24569])).
% 8.34/6.14 tff(26386,plain,((~trans(s349, s40)) | until2p7(s40) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26387,plain,
% 8.34/6.14 (~trans(s349, s40)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26386, 25955, 22676])).
% 8.34/6.14 tff(26388,assumption,(~until2p7(s282)), introduced(assumption)).
% 8.34/6.14 tff(26389,assumption,(trans(s349, s282)), introduced(assumption)).
% 8.34/6.14 tff(26390,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s282) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s282)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s282) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s282)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26391,plain,
% 8.34/6.14 (((~trans(s349, s282)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s282)) <=> (until2p7(s282) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s282)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26392,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s282)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s282) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s282))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26391])).
% 8.34/6.14 tff(26393,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s282)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s282) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s282)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26392, 26390])).
% 8.34/6.14 tff(26394,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s282)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s282))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26395,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s282) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s282))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26394, 26393])).
% 8.34/6.14 tff(26396,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26395, 22690, 26389, 23114, 26388, 24569])).
% 8.34/6.14 tff(26397,plain,((~trans(s349, s282)) | until2p7(s282) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26398,plain,
% 8.34/6.14 (~trans(s349, s282)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26397, 23468, 22676])).
% 8.34/6.14 tff(26399,assumption,(~until2p7(s209)), introduced(assumption)).
% 8.34/6.14 tff(26400,assumption,(trans(s349, s209)), introduced(assumption)).
% 8.34/6.14 tff(26401,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s209) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s209)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s209) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s209)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26402,plain,
% 8.34/6.14 (((~trans(s349, s209)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s209)) <=> (until2p7(s209) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s209)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26403,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s209)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s209) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s209))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26402])).
% 8.34/6.14 tff(26404,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s209)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s209) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s209)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26403, 26401])).
% 8.34/6.14 tff(26405,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s209)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s209))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26406,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s209) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s209))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26405, 26404])).
% 8.34/6.14 tff(26407,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26406, 22690, 26400, 23114, 26399, 24569])).
% 8.34/6.14 tff(26408,plain,((~trans(s349, s209)) | until2p7(s209) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26409,plain,
% 8.34/6.14 (~trans(s349, s209)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26408, 24198, 22676])).
% 8.34/6.14 tff(26410,assumption,(~until2p7(s331)), introduced(assumption)).
% 8.34/6.14 tff(26411,assumption,(trans(s349, s331)), introduced(assumption)).
% 8.34/6.14 tff(26412,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s331) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s331)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s331) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s331)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26413,plain,
% 8.34/6.14 (((~trans(s349, s331)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s331)) <=> (until2p7(s331) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s331)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26414,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s331)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s331) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s331))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26413])).
% 8.34/6.14 tff(26415,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s331)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s331) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s331)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26414, 26412])).
% 8.34/6.14 tff(26416,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s331)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s331))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26417,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s331) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s331))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26416, 26415])).
% 8.34/6.14 tff(26418,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26417, 22690, 26411, 23114, 26410, 24569])).
% 8.34/6.14 tff(26419,plain,((~trans(s349, s331)) | until2p7(s331) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26420,plain,
% 8.34/6.14 (~trans(s349, s331)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26419, 22904, 22676])).
% 8.34/6.14 tff(26421,assumption,(~until2p7(s233)), introduced(assumption)).
% 8.34/6.14 tff(26422,assumption,(trans(s349, s233)), introduced(assumption)).
% 8.34/6.14 tff(26423,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s233) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s233)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s233) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s233)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26424,plain,
% 8.34/6.14 (((~trans(s349, s233)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s233)) <=> (until2p7(s233) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s233)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26425,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s233)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s233) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s233))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26424])).
% 8.34/6.14 tff(26426,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s233)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s233) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s233)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26425, 26423])).
% 8.34/6.14 tff(26427,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s233)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s233))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26428,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s233) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s233))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26427, 26426])).
% 8.34/6.14 tff(26429,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26428, 22690, 26422, 23114, 26421, 24569])).
% 8.34/6.14 tff(26430,plain,((~trans(s349, s233)) | until2p7(s233) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26431,plain,
% 8.34/6.14 (~trans(s349, s233)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26430, 23958, 22676])).
% 8.34/6.14 tff(26432,assumption,(~until2p7(s208)), introduced(assumption)).
% 8.34/6.14 tff(26433,assumption,(trans(s349, s208)), introduced(assumption)).
% 8.34/6.14 tff(26434,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s208) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s208)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s208) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s208)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26435,plain,
% 8.34/6.14 (((~trans(s349, s208)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s208)) <=> (until2p7(s208) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s208)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26436,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s208)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s208) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s208))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26435])).
% 8.34/6.14 tff(26437,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s208)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s208) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s208)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26436, 26434])).
% 8.34/6.14 tff(26438,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s208)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s208))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26439,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s208) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s208))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26438, 26437])).
% 8.34/6.14 tff(26440,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26439, 22690, 26433, 23114, 26432, 24569])).
% 8.34/6.14 tff(26441,plain,((~trans(s349, s208)) | until2p7(s208) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26442,plain,
% 8.34/6.14 (~trans(s349, s208)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26441, 24208, 22676])).
% 8.34/6.14 tff(26443,assumption,(~until2p7(s235)), introduced(assumption)).
% 8.34/6.14 tff(26444,assumption,(trans(s349, s235)), introduced(assumption)).
% 8.34/6.14 tff(26445,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s235) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s235)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s235) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s235)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26446,plain,
% 8.34/6.14 (((~trans(s349, s235)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s235)) <=> (until2p7(s235) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s235)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26447,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s235)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s235) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s235))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26446])).
% 8.34/6.14 tff(26448,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s235)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s235) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s235)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26447, 26445])).
% 8.34/6.14 tff(26449,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s235)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s235))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26450,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s235) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s235))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26449, 26448])).
% 8.34/6.14 tff(26451,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26450, 22690, 26444, 23114, 26443, 24569])).
% 8.34/6.14 tff(26452,plain,((~trans(s349, s235)) | until2p7(s235) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26453,plain,
% 8.34/6.14 (~trans(s349, s235)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26452, 23938, 22676])).
% 8.34/6.14 tff(26454,assumption,(~until2p7(s310)), introduced(assumption)).
% 8.34/6.14 tff(26455,assumption,(trans(s349, s310)), introduced(assumption)).
% 8.34/6.14 tff(26456,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s310) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s310)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s310) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s310)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26457,plain,
% 8.34/6.14 (((~trans(s349, s310)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s310)) <=> (until2p7(s310) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s310)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26458,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s310)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s310) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s310))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26457])).
% 8.34/6.14 tff(26459,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s310)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s310) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s310)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26458, 26456])).
% 8.34/6.14 tff(26460,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s310)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s310))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26461,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s310) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s310))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26460, 26459])).
% 8.34/6.14 tff(26462,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26461, 22690, 26455, 23114, 26454, 24569])).
% 8.34/6.14 tff(26463,plain,((~trans(s349, s310)) | until2p7(s310) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26464,plain,
% 8.34/6.14 (~trans(s349, s310)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26463, 23188, 22676])).
% 8.34/6.14 tff(26465,assumption,(~until2p7(s133)), introduced(assumption)).
% 8.34/6.14 tff(26466,assumption,(trans(s349, s133)), introduced(assumption)).
% 8.34/6.14 tff(26467,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s133) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s133)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s133)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26468,plain,
% 8.34/6.14 (((~trans(s349, s133)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s133)) <=> (until2p7(s133) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s133)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26469,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s133)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s133) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s133))))),
% 8.34/6.14 inference(monotonicity,[status(thm)],[26468])).
% 8.34/6.14 tff(26470,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s133)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s133)))),
% 8.34/6.14 inference(transitivity,[status(thm)],[26469, 26467])).
% 8.34/6.14 tff(26471,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s133)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s133))),
% 8.34/6.14 inference(quant_inst,[status(thm)],[])).
% 8.34/6.14 tff(26472,plain,
% 8.34/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s133))),
% 8.34/6.14 inference(modus_ponens,[status(thm)],[26471, 26470])).
% 8.34/6.14 tff(26473,plain,
% 8.34/6.14 ($false),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26472, 22690, 26466, 23114, 26465, 24569])).
% 8.34/6.14 tff(26474,plain,((~trans(s349, s133)) | until2p7(s133) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.14 tff(26475,plain,
% 8.34/6.14 (~trans(s349, s133)),
% 8.34/6.14 inference(unit_resolution,[status(thm)],[26474, 25014, 22676])).
% 8.34/6.14 tff(26476,assumption,(~until2p7(s227)), introduced(assumption)).
% 8.34/6.14 tff(26477,assumption,(trans(s349, s227)), introduced(assumption)).
% 8.34/6.14 tff(26478,plain,
% 8.34/6.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s227) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s227)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s227) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s227)))),
% 8.34/6.14 inference(rewrite,[status(thm)],[])).
% 8.34/6.14 tff(26479,plain,
% 8.34/6.14 (((~trans(s349, s227)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s227)) <=> (until2p7(s227) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s227)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26480,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s227)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s227) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s227))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26479])).
% 8.34/6.15 tff(26481,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s227)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s227) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s227)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26480, 26478])).
% 8.34/6.15 tff(26482,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s227)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s227))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26483,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s227) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s227))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26482, 26481])).
% 8.34/6.15 tff(26484,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26483, 22690, 26477, 23114, 26476, 24569])).
% 8.34/6.15 tff(26485,plain,((~trans(s349, s227)) | until2p7(s227) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26486,plain,
% 8.34/6.15 (~trans(s349, s227)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26485, 24018, 22676])).
% 8.34/6.15 tff(26487,assumption,(~until2p7(s314)), introduced(assumption)).
% 8.34/6.15 tff(26488,assumption,(trans(s349, s314)), introduced(assumption)).
% 8.34/6.15 tff(26489,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s314) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s314)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s314) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s314)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26490,plain,
% 8.34/6.15 (((~trans(s349, s314)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s314)) <=> (until2p7(s314) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s314)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26491,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s314)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s314) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s314))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26490])).
% 8.34/6.15 tff(26492,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s314)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s314) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s314)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26491, 26489])).
% 8.34/6.15 tff(26493,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s314)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s314))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26494,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s314) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s314))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26493, 26492])).
% 8.34/6.15 tff(26495,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26494, 22690, 26488, 23114, 26487, 24569])).
% 8.34/6.15 tff(26496,plain,((~trans(s349, s314)) | until2p7(s314) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26497,plain,
% 8.34/6.15 (~trans(s349, s314)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26496, 23074, 22676])).
% 8.34/6.15 tff(26498,assumption,(~until2p7(s18)), introduced(assumption)).
% 8.34/6.15 tff(26499,assumption,(trans(s349, s18)), introduced(assumption)).
% 8.34/6.15 tff(26500,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s18)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26501,plain,
% 8.34/6.15 (((~trans(s349, s18)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s18)) <=> (until2p7(s18) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s18)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26502,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s18)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s18))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26501])).
% 8.34/6.15 tff(26503,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s18)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s18)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26502, 26500])).
% 8.34/6.15 tff(26504,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s18)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s18))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26505,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s18))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26504, 26503])).
% 8.34/6.15 tff(26506,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26505, 22690, 26499, 23114, 26498, 24569])).
% 8.34/6.15 tff(26507,plain,((~trans(s349, s18)) | until2p7(s18) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26508,plain,
% 8.34/6.15 (~trans(s349, s18)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26507, 26179, 22676])).
% 8.34/6.15 tff(26509,assumption,(~until2p7(s332)), introduced(assumption)).
% 8.34/6.15 tff(26510,assumption,(trans(s349, s332)), introduced(assumption)).
% 8.34/6.15 tff(26511,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s332) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s332)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s332) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s332)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26512,plain,
% 8.34/6.15 (((~trans(s349, s332)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s332)) <=> (until2p7(s332) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s332)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26513,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s332)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s332) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s332))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26512])).
% 8.34/6.15 tff(26514,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s332)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s332) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s332)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26513, 26511])).
% 8.34/6.15 tff(26515,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s332)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s332))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26516,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s332) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s332))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26515, 26514])).
% 8.34/6.15 tff(26517,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26516, 22690, 26510, 23114, 26509, 24569])).
% 8.34/6.15 tff(26518,plain,((~trans(s349, s332)) | until2p7(s332) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26519,plain,
% 8.34/6.15 (~trans(s349, s332)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26518, 22894, 22676])).
% 8.34/6.15 tff(26520,assumption,(~until2p7(s309)), introduced(assumption)).
% 8.34/6.15 tff(26521,assumption,(trans(s349, s309)), introduced(assumption)).
% 8.34/6.15 tff(26522,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s309) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s309)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s309) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s309)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26523,plain,
% 8.34/6.15 (((~trans(s349, s309)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s309)) <=> (until2p7(s309) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s309)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26524,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s309)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s309) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s309))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26523])).
% 8.34/6.15 tff(26525,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s309)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s309) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s309)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26524, 26522])).
% 8.34/6.15 tff(26526,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s309)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s309))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26527,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s309) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s309))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26526, 26525])).
% 8.34/6.15 tff(26528,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26527, 22690, 26521, 23114, 26520, 24569])).
% 8.34/6.15 tff(26529,plain,((~trans(s349, s309)) | until2p7(s309) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26530,plain,
% 8.34/6.15 (~trans(s349, s309)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26529, 23198, 22676])).
% 8.34/6.15 tff(26531,assumption,(~until2p7(s305)), introduced(assumption)).
% 8.34/6.15 tff(26532,assumption,(trans(s349, s305)), introduced(assumption)).
% 8.34/6.15 tff(26533,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s305) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s305)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s305) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s305)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26534,plain,
% 8.34/6.15 (((~trans(s349, s305)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s305)) <=> (until2p7(s305) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s305)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26535,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s305)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s305) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s305))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26534])).
% 8.34/6.15 tff(26536,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s305)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s305) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s305)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26535, 26533])).
% 8.34/6.15 tff(26537,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s305)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s305))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26538,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s305) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s305))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26537, 26536])).
% 8.34/6.15 tff(26539,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26538, 22690, 26532, 23114, 26531, 24569])).
% 8.34/6.15 tff(26540,plain,((~trans(s349, s305)) | until2p7(s305) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26541,plain,
% 8.34/6.15 (~trans(s349, s305)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26540, 23238, 22676])).
% 8.34/6.15 tff(26542,assumption,(~until2p7(s114)), introduced(assumption)).
% 8.34/6.15 tff(26543,assumption,(trans(s349, s114)), introduced(assumption)).
% 8.34/6.15 tff(26544,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s114) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s114)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s114)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26545,plain,
% 8.34/6.15 (((~trans(s349, s114)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s114)) <=> (until2p7(s114) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s114)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26546,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s114)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s114) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s114))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26545])).
% 8.34/6.15 tff(26547,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s114)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s114)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26546, 26544])).
% 8.34/6.15 tff(26548,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s114)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s114))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26549,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s114))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26548, 26547])).
% 8.34/6.15 tff(26550,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26549, 22690, 26543, 23114, 26542, 24569])).
% 8.34/6.15 tff(26551,plain,((~trans(s349, s114)) | until2p7(s114) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26552,plain,
% 8.34/6.15 (~trans(s349, s114)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26551, 25204, 22676])).
% 8.34/6.15 tff(26553,assumption,(~until2p7(s78)), introduced(assumption)).
% 8.34/6.15 tff(26554,assumption,(trans(s349, s78)), introduced(assumption)).
% 8.34/6.15 tff(26555,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s78) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s78)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26556,plain,
% 8.34/6.15 (((~trans(s349, s78)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s78)) <=> (until2p7(s78) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s78)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26557,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s78)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s78) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s78))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26556])).
% 8.34/6.15 tff(26558,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s78)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s78)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26557, 26555])).
% 8.34/6.15 tff(26559,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s78)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s78))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26560,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s78))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26559, 26558])).
% 8.34/6.15 tff(26561,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26560, 22690, 26554, 23114, 26553, 24569])).
% 8.34/6.15 tff(26562,plain,((~trans(s349, s78)) | until2p7(s78) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26563,plain,
% 8.34/6.15 (~trans(s349, s78)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26562, 25564, 22676])).
% 8.34/6.15 tff(26564,assumption,(~until2p7(s153)), introduced(assumption)).
% 8.34/6.15 tff(26565,assumption,(trans(s349, s153)), introduced(assumption)).
% 8.34/6.15 tff(26566,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s153) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s153)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s153)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26567,plain,
% 8.34/6.15 (((~trans(s349, s153)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s153)) <=> (until2p7(s153) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s153)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26568,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s153)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s153) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s153))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26567])).
% 8.34/6.15 tff(26569,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s153)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s153)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26568, 26566])).
% 8.34/6.15 tff(26570,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s153)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s153))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26571,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s153))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26570, 26569])).
% 8.34/6.15 tff(26572,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26571, 22690, 26565, 23114, 26564, 24569])).
% 8.34/6.15 tff(26573,plain,((~trans(s349, s153)) | until2p7(s153) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26574,plain,
% 8.34/6.15 (~trans(s349, s153)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26573, 24770, 22676])).
% 8.34/6.15 tff(26575,assumption,(~until2p7(s330)), introduced(assumption)).
% 8.34/6.15 tff(26576,assumption,(trans(s349, s330)), introduced(assumption)).
% 8.34/6.15 tff(26577,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s330) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s330)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s330) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s330)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26578,plain,
% 8.34/6.15 (((~trans(s349, s330)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s330)) <=> (until2p7(s330) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s330)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26579,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s330)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s330) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s330))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26578])).
% 8.34/6.15 tff(26580,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s330)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s330) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s330)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26579, 26577])).
% 8.34/6.15 tff(26581,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s330)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s330))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26582,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s330) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s330))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26581, 26580])).
% 8.34/6.15 tff(26583,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26582, 22690, 26576, 23114, 26575, 24569])).
% 8.34/6.15 tff(26584,plain,((~trans(s349, s330)) | until2p7(s330) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26585,plain,
% 8.34/6.15 (~trans(s349, s330)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26584, 22914, 22676])).
% 8.34/6.15 tff(26586,assumption,(~until2p7(s226)), introduced(assumption)).
% 8.34/6.15 tff(26587,assumption,(trans(s349, s226)), introduced(assumption)).
% 8.34/6.15 tff(26588,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s226) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s226)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s226) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s226)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26589,plain,
% 8.34/6.15 (((~trans(s349, s226)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s226)) <=> (until2p7(s226) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s226)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26590,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s226)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s226) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s226))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26589])).
% 8.34/6.15 tff(26591,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s226)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s226) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s226)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26590, 26588])).
% 8.34/6.15 tff(26592,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s226)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s226))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26593,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s226) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s226))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26592, 26591])).
% 8.34/6.15 tff(26594,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26593, 22690, 26587, 23114, 26586, 24569])).
% 8.34/6.15 tff(26595,plain,((~trans(s349, s226)) | until2p7(s226) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26596,plain,
% 8.34/6.15 (~trans(s349, s226)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26595, 24028, 22676])).
% 8.34/6.15 tff(26597,assumption,(~until2p7(s191)), introduced(assumption)).
% 8.34/6.15 tff(26598,assumption,(trans(s349, s191)), introduced(assumption)).
% 8.34/6.15 tff(26599,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s191) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s191)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s191)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26600,plain,
% 8.34/6.15 (((~trans(s349, s191)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s191)) <=> (until2p7(s191) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s191)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26601,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s191)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s191) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s191))))),
% 8.34/6.15 inference(monotonicity,[status(thm)],[26600])).
% 8.34/6.15 tff(26602,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s191)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s191)))),
% 8.34/6.15 inference(transitivity,[status(thm)],[26601, 26599])).
% 8.34/6.15 tff(26603,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s191)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s191))),
% 8.34/6.15 inference(quant_inst,[status(thm)],[])).
% 8.34/6.15 tff(26604,plain,
% 8.34/6.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s191))),
% 8.34/6.15 inference(modus_ponens,[status(thm)],[26603, 26602])).
% 8.34/6.15 tff(26605,plain,
% 8.34/6.15 ($false),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26604, 22690, 26598, 23114, 26597, 24569])).
% 8.34/6.15 tff(26606,plain,((~trans(s349, s191)) | until2p7(s191) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.15 tff(26607,plain,
% 8.34/6.15 (~trans(s349, s191)),
% 8.34/6.15 inference(unit_resolution,[status(thm)],[26606, 24378, 22676])).
% 8.34/6.15 tff(26608,assumption,(~until2p7(s183)), introduced(assumption)).
% 8.34/6.15 tff(26609,assumption,(trans(s349, s183)), introduced(assumption)).
% 8.34/6.15 tff(26610,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s183) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s183)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s183)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26611,plain,
% 8.34/6.15 (((~trans(s349, s183)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s183)) <=> (until2p7(s183) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s183)))),
% 8.34/6.15 inference(rewrite,[status(thm)],[])).
% 8.34/6.15 tff(26612,plain,
% 8.34/6.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s183)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s183) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s183))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26611])).
% 8.34/6.16 tff(26613,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s183)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s183)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26612, 26610])).
% 8.34/6.16 tff(26614,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s183)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s183))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26615,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s183))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26614, 26613])).
% 8.34/6.16 tff(26616,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26615, 22690, 26609, 23114, 26608, 24569])).
% 8.34/6.16 tff(26617,plain,((~trans(s349, s183)) | until2p7(s183) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26618,plain,
% 8.34/6.16 (~trans(s349, s183)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26617, 24458, 22676])).
% 8.34/6.16 tff(26619,assumption,(~until2p7(s145)), introduced(assumption)).
% 8.34/6.16 tff(26620,assumption,(trans(s349, s145)), introduced(assumption)).
% 8.34/6.16 tff(26621,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s145) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s145)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s145)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26622,plain,
% 8.34/6.16 (((~trans(s349, s145)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s145)) <=> (until2p7(s145) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s145)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26623,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s145)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s145) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s145))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26622])).
% 8.34/6.16 tff(26624,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s145)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s145)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26623, 26621])).
% 8.34/6.16 tff(26625,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s145)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s145))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26626,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s145))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26625, 26624])).
% 8.34/6.16 tff(26627,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26626, 22690, 26620, 23114, 26619, 24569])).
% 8.34/6.16 tff(26628,plain,((~trans(s349, s145)) | until2p7(s145) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26629,plain,
% 8.34/6.16 (~trans(s349, s145)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26628, 24850, 22676])).
% 8.34/6.16 tff(26630,assumption,(~until2p7(s203)), introduced(assumption)).
% 8.34/6.16 tff(26631,assumption,(trans(s349, s203)), introduced(assumption)).
% 8.34/6.16 tff(26632,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s203) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s203)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s203)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26633,plain,
% 8.34/6.16 (((~trans(s349, s203)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s203)) <=> (until2p7(s203) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s203)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26634,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s203)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s203) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s203))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26633])).
% 8.34/6.16 tff(26635,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s203)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s203)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26634, 26632])).
% 8.34/6.16 tff(26636,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s203)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s203))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26637,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s203))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26636, 26635])).
% 8.34/6.16 tff(26638,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26637, 22690, 26631, 23114, 26630, 24569])).
% 8.34/6.16 tff(26639,plain,((~trans(s349, s203)) | until2p7(s203) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26640,plain,
% 8.34/6.16 (~trans(s349, s203)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26639, 24258, 22676])).
% 8.34/6.16 tff(26641,assumption,(~until2p7(s278)), introduced(assumption)).
% 8.34/6.16 tff(26642,assumption,(trans(s349, s278)), introduced(assumption)).
% 8.34/6.16 tff(26643,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s278) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s278)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s278) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s278)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26644,plain,
% 8.34/6.16 (((~trans(s349, s278)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s278)) <=> (until2p7(s278) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s278)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26645,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s278)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s278) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s278))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26644])).
% 8.34/6.16 tff(26646,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s278)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s278) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s278)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26645, 26643])).
% 8.34/6.16 tff(26647,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s278)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s278))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26648,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s278) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s278))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26647, 26646])).
% 8.34/6.16 tff(26649,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26648, 22690, 26642, 23114, 26641, 24569])).
% 8.34/6.16 tff(26650,plain,((~trans(s349, s278)) | until2p7(s278) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26651,plain,
% 8.34/6.16 (~trans(s349, s278)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26650, 23508, 22676])).
% 8.34/6.16 tff(26652,assumption,(~until2p7(s121)), introduced(assumption)).
% 8.34/6.16 tff(26653,assumption,(trans(s349, s121)), introduced(assumption)).
% 8.34/6.16 tff(26654,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s121) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s121)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s121)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26655,plain,
% 8.34/6.16 (((~trans(s349, s121)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s121)) <=> (until2p7(s121) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s121)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26656,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s121)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s121) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s121))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26655])).
% 8.34/6.16 tff(26657,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s121)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s121)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26656, 26654])).
% 8.34/6.16 tff(26658,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s121)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s121))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26659,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s121))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26658, 26657])).
% 8.34/6.16 tff(26660,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26659, 22690, 26653, 23114, 26652, 24569])).
% 8.34/6.16 tff(26661,plain,((~trans(s349, s121)) | until2p7(s121) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26662,plain,
% 8.34/6.16 (~trans(s349, s121)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26661, 25134, 22676])).
% 8.34/6.16 tff(26663,assumption,(~until2p7(s292)), introduced(assumption)).
% 8.34/6.16 tff(26664,assumption,(trans(s349, s292)), introduced(assumption)).
% 8.34/6.16 tff(26665,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s292) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s292)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s292) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s292)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26666,plain,
% 8.34/6.16 (((~trans(s349, s292)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s292)) <=> (until2p7(s292) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s292)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26667,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s292)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s292) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s292))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26666])).
% 8.34/6.16 tff(26668,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s292)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s292) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s292)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26667, 26665])).
% 8.34/6.16 tff(26669,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s292)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s292))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26670,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s292) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s292))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26669, 26668])).
% 8.34/6.16 tff(26671,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26670, 22690, 26664, 23114, 26663, 24569])).
% 8.34/6.16 tff(26672,plain,((~trans(s349, s292)) | until2p7(s292) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26673,plain,
% 8.34/6.16 (~trans(s349, s292)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26672, 23368, 22676])).
% 8.34/6.16 tff(26674,assumption,(~until2p7(s302)), introduced(assumption)).
% 8.34/6.16 tff(26675,assumption,(trans(s349, s302)), introduced(assumption)).
% 8.34/6.16 tff(26676,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s302) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s302)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s302) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s302)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26677,plain,
% 8.34/6.16 (((~trans(s349, s302)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s302)) <=> (until2p7(s302) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s302)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26678,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s302)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s302) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s302))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26677])).
% 8.34/6.16 tff(26679,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s302)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s302) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s302)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26678, 26676])).
% 8.34/6.16 tff(26680,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s302)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s302))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26681,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s302) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s302))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26680, 26679])).
% 8.34/6.16 tff(26682,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26681, 22690, 26675, 23114, 26674, 24569])).
% 8.34/6.16 tff(26683,plain,((~trans(s349, s302)) | until2p7(s302) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26684,plain,
% 8.34/6.16 (~trans(s349, s302)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26683, 23268, 22676])).
% 8.34/6.16 tff(26685,assumption,(~until2p7(s28)), introduced(assumption)).
% 8.34/6.16 tff(26686,assumption,(trans(s349, s28)), introduced(assumption)).
% 8.34/6.16 tff(26687,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s28)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26688,plain,
% 8.34/6.16 (((~trans(s349, s28)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s28)) <=> (until2p7(s28) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s28)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26689,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s28)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s28))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26688])).
% 8.34/6.16 tff(26690,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s28)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s28)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26689, 26687])).
% 8.34/6.16 tff(26691,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s28)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s28))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26692,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s28))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26691, 26690])).
% 8.34/6.16 tff(26693,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26692, 22690, 26686, 23114, 26685, 24569])).
% 8.34/6.16 tff(26694,plain,((~trans(s349, s28)) | until2p7(s28) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26695,plain,
% 8.34/6.16 (~trans(s349, s28)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26694, 26079, 22676])).
% 8.34/6.16 tff(26696,assumption,(~until2p7(s112)), introduced(assumption)).
% 8.34/6.16 tff(26697,assumption,(trans(s349, s112)), introduced(assumption)).
% 8.34/6.16 tff(26698,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s112) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s112)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s112)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26699,plain,
% 8.34/6.16 (((~trans(s349, s112)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s112)) <=> (until2p7(s112) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s112)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26700,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s112)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s112) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s112))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26699])).
% 8.34/6.16 tff(26701,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s112)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s112)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26700, 26698])).
% 8.34/6.16 tff(26702,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s112)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s112))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26703,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s112))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26702, 26701])).
% 8.34/6.16 tff(26704,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26703, 22690, 26697, 23114, 26696, 24569])).
% 8.34/6.16 tff(26705,plain,((~trans(s349, s112)) | until2p7(s112) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26706,plain,
% 8.34/6.16 (~trans(s349, s112)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26705, 25224, 22676])).
% 8.34/6.16 tff(26707,assumption,(~until2p7(s79)), introduced(assumption)).
% 8.34/6.16 tff(26708,assumption,(trans(s349, s79)), introduced(assumption)).
% 8.34/6.16 tff(26709,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s79)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26710,plain,
% 8.34/6.16 (((~trans(s349, s79)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s79)) <=> (until2p7(s79) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s79)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26711,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s79)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s79))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26710])).
% 8.34/6.16 tff(26712,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s79)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s79)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26711, 26709])).
% 8.34/6.16 tff(26713,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s79)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s79))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26714,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s79))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26713, 26712])).
% 8.34/6.16 tff(26715,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26714, 22690, 26708, 23114, 26707, 24569])).
% 8.34/6.16 tff(26716,plain,((~trans(s349, s79)) | until2p7(s79) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26717,plain,
% 8.34/6.16 (~trans(s349, s79)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26716, 25554, 22676])).
% 8.34/6.16 tff(26718,assumption,(~until2p7(s76)), introduced(assumption)).
% 8.34/6.16 tff(26719,assumption,(trans(s349, s76)), introduced(assumption)).
% 8.34/6.16 tff(26720,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s76) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s76)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26721,plain,
% 8.34/6.16 (((~trans(s349, s76)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s76)) <=> (until2p7(s76) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s76)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26722,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s76)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s76) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s76))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26721])).
% 8.34/6.16 tff(26723,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s76)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s76)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26722, 26720])).
% 8.34/6.16 tff(26724,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s76)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s76))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26725,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s76))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26724, 26723])).
% 8.34/6.16 tff(26726,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26725, 22690, 26719, 23114, 26718, 24569])).
% 8.34/6.16 tff(26727,plain,((~trans(s349, s76)) | until2p7(s76) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26728,plain,
% 8.34/6.16 (~trans(s349, s76)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26727, 25584, 22676])).
% 8.34/6.16 tff(26729,assumption,(~until2p7(s258)), introduced(assumption)).
% 8.34/6.16 tff(26730,assumption,(trans(s349, s258)), introduced(assumption)).
% 8.34/6.16 tff(26731,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s258) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s258)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s258) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s258)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26732,plain,
% 8.34/6.16 (((~trans(s349, s258)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s258)) <=> (until2p7(s258) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s258)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26733,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s258)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s258) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s258))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26732])).
% 8.34/6.16 tff(26734,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s258)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s258) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s258)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26733, 26731])).
% 8.34/6.16 tff(26735,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s258)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s258))),
% 8.34/6.16 inference(quant_inst,[status(thm)],[])).
% 8.34/6.16 tff(26736,plain,
% 8.34/6.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s258) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s258))),
% 8.34/6.16 inference(modus_ponens,[status(thm)],[26735, 26734])).
% 8.34/6.16 tff(26737,plain,
% 8.34/6.16 ($false),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26736, 22690, 26730, 23114, 26729, 24569])).
% 8.34/6.16 tff(26738,plain,((~trans(s349, s258)) | until2p7(s258) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.16 tff(26739,plain,
% 8.34/6.16 (~trans(s349, s258)),
% 8.34/6.16 inference(unit_resolution,[status(thm)],[26738, 23708, 22676])).
% 8.34/6.16 tff(26740,assumption,(~until2p7(s266)), introduced(assumption)).
% 8.34/6.16 tff(26741,assumption,(trans(s349, s266)), introduced(assumption)).
% 8.34/6.16 tff(26742,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s266) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s266)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s266) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s266)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26743,plain,
% 8.34/6.16 (((~trans(s349, s266)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s266)) <=> (until2p7(s266) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s266)))),
% 8.34/6.16 inference(rewrite,[status(thm)],[])).
% 8.34/6.16 tff(26744,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s266)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s266) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s266))))),
% 8.34/6.16 inference(monotonicity,[status(thm)],[26743])).
% 8.34/6.16 tff(26745,plain,
% 8.34/6.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s266)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s266) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s266)))),
% 8.34/6.16 inference(transitivity,[status(thm)],[26744, 26742])).
% 8.34/6.17 tff(26746,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s266)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s266))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26747,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s266) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s266))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26746, 26745])).
% 8.34/6.17 tff(26748,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26747, 22690, 26741, 23114, 26740, 24569])).
% 8.34/6.17 tff(26749,plain,((~trans(s349, s266)) | until2p7(s266) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26750,plain,
% 8.34/6.17 (~trans(s349, s266)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26749, 23628, 22676])).
% 8.34/6.17 tff(26751,assumption,(~until2p7(s232)), introduced(assumption)).
% 8.34/6.17 tff(26752,assumption,(trans(s349, s232)), introduced(assumption)).
% 8.34/6.17 tff(26753,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s232) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s232)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s232) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s232)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26754,plain,
% 8.34/6.17 (((~trans(s349, s232)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s232)) <=> (until2p7(s232) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s232)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26755,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s232)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s232) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s232))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26754])).
% 8.34/6.17 tff(26756,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s232)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s232) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s232)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26755, 26753])).
% 8.34/6.17 tff(26757,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s232)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s232))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26758,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s232) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s232))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26757, 26756])).
% 8.34/6.17 tff(26759,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26758, 22690, 26752, 23114, 26751, 24569])).
% 8.34/6.17 tff(26760,plain,((~trans(s349, s232)) | until2p7(s232) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26761,plain,
% 8.34/6.17 (~trans(s349, s232)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26760, 23968, 22676])).
% 8.34/6.17 tff(26762,assumption,(~until2p7(s270)), introduced(assumption)).
% 8.34/6.17 tff(26763,assumption,(trans(s349, s270)), introduced(assumption)).
% 8.34/6.17 tff(26764,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s270) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s270)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s270) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s270)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26765,plain,
% 8.34/6.17 (((~trans(s349, s270)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s270)) <=> (until2p7(s270) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s270)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26766,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s270)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s270) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s270))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26765])).
% 8.34/6.17 tff(26767,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s270)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s270) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s270)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26766, 26764])).
% 8.34/6.17 tff(26768,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s270)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s270))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26769,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s270) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s270))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26768, 26767])).
% 8.34/6.17 tff(26770,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26769, 22690, 26763, 23114, 26762, 24569])).
% 8.34/6.17 tff(26771,plain,((~trans(s349, s270)) | until2p7(s270) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26772,plain,
% 8.34/6.17 (~trans(s349, s270)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26771, 23588, 22676])).
% 8.34/6.17 tff(26773,assumption,(~until2p7(s48)), introduced(assumption)).
% 8.34/6.17 tff(26774,assumption,(trans(s349, s48)), introduced(assumption)).
% 8.34/6.17 tff(26775,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s48)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26776,plain,
% 8.34/6.17 (((~trans(s349, s48)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s48)) <=> (until2p7(s48) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s48)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26777,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s48)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s48))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26776])).
% 8.34/6.17 tff(26778,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s48)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s48)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26777, 26775])).
% 8.34/6.17 tff(26779,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s48)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s48))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26780,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s48))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26779, 26778])).
% 8.34/6.17 tff(26781,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26780, 22690, 26774, 23114, 26773, 24569])).
% 8.34/6.17 tff(26782,plain,((~trans(s349, s48)) | until2p7(s48) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26783,plain,
% 8.34/6.17 (~trans(s349, s48)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26782, 25875, 22676])).
% 8.34/6.17 tff(26784,assumption,(~until2p7(s333)), introduced(assumption)).
% 8.34/6.17 tff(26785,assumption,(trans(s349, s333)), introduced(assumption)).
% 8.34/6.17 tff(26786,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s333) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s333)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s333) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s333)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26787,plain,
% 8.34/6.17 (((~trans(s349, s333)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s333)) <=> (until2p7(s333) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s333)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26788,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s333)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s333) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s333))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26787])).
% 8.34/6.17 tff(26789,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s333)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s333) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s333)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26788, 26786])).
% 8.34/6.17 tff(26790,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s333)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s333))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26791,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s333) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s333))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26790, 26789])).
% 8.34/6.17 tff(26792,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26791, 22690, 26785, 23114, 26784, 24569])).
% 8.34/6.17 tff(26793,plain,((~trans(s349, s333)) | until2p7(s333) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26794,plain,
% 8.34/6.17 (~trans(s349, s333)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26793, 22884, 22676])).
% 8.34/6.17 tff(26795,assumption,(~until2p7(s184)), introduced(assumption)).
% 8.34/6.17 tff(26796,assumption,(trans(s349, s184)), introduced(assumption)).
% 8.34/6.17 tff(26797,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s184) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s184)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s184)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26798,plain,
% 8.34/6.17 (((~trans(s349, s184)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s184)) <=> (until2p7(s184) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s184)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26799,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s184)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s184) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s184))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26798])).
% 8.34/6.17 tff(26800,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s184)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s184)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26799, 26797])).
% 8.34/6.17 tff(26801,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s184)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s184))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26802,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s184))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26801, 26800])).
% 8.34/6.17 tff(26803,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26802, 22690, 26796, 23114, 26795, 24569])).
% 8.34/6.17 tff(26804,plain,((~trans(s349, s184)) | until2p7(s184) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26805,plain,
% 8.34/6.17 (~trans(s349, s184)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26804, 24448, 22676])).
% 8.34/6.17 tff(26806,assumption,(~until2p7(s81)), introduced(assumption)).
% 8.34/6.17 tff(26807,assumption,(trans(s349, s81)), introduced(assumption)).
% 8.34/6.17 tff(26808,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s81) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s81)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26809,plain,
% 8.34/6.17 (((~trans(s349, s81)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s81)) <=> (until2p7(s81) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s81)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26810,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s81)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s81) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s81))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26809])).
% 8.34/6.17 tff(26811,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s81)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s81)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26810, 26808])).
% 8.34/6.17 tff(26812,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s81)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s81))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26813,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s81))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26812, 26811])).
% 8.34/6.17 tff(26814,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26813, 22690, 26807, 23114, 26806, 24569])).
% 8.34/6.17 tff(26815,plain,((~trans(s349, s81)) | until2p7(s81) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26816,plain,
% 8.34/6.17 (~trans(s349, s81)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26815, 25534, 22676])).
% 8.34/6.17 tff(26817,assumption,(~until2p7(s165)), introduced(assumption)).
% 8.34/6.17 tff(26818,assumption,(trans(s349, s165)), introduced(assumption)).
% 8.34/6.17 tff(26819,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s165) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s165)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s165)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26820,plain,
% 8.34/6.17 (((~trans(s349, s165)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s165)) <=> (until2p7(s165) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s165)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26821,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s165)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s165) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s165))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26820])).
% 8.34/6.17 tff(26822,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s165)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s165)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26821, 26819])).
% 8.34/6.17 tff(26823,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s165)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s165))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26824,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s165))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26823, 26822])).
% 8.34/6.17 tff(26825,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26824, 22690, 26818, 23114, 26817, 24569])).
% 8.34/6.17 tff(26826,plain,((~trans(s349, s165)) | until2p7(s165) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26827,plain,
% 8.34/6.17 (~trans(s349, s165)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26826, 24650, 22676])).
% 8.34/6.17 tff(26828,assumption,(~until2p7(s74)), introduced(assumption)).
% 8.34/6.17 tff(26829,assumption,(trans(s349, s74)), introduced(assumption)).
% 8.34/6.17 tff(26830,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s74) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s74)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26831,plain,
% 8.34/6.17 (((~trans(s349, s74)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s74)) <=> (until2p7(s74) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s74)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26832,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s74)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s74) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s74))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26831])).
% 8.34/6.17 tff(26833,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s74)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s74)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26832, 26830])).
% 8.34/6.17 tff(26834,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s74)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s74))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26835,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s74))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26834, 26833])).
% 8.34/6.17 tff(26836,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26835, 22690, 26829, 23114, 26828, 24569])).
% 8.34/6.17 tff(26837,plain,((~trans(s349, s74)) | until2p7(s74) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26838,plain,
% 8.34/6.17 (~trans(s349, s74)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26837, 25604, 22676])).
% 8.34/6.17 tff(26839,assumption,(~until2p7(s45)), introduced(assumption)).
% 8.34/6.17 tff(26840,assumption,(trans(s349, s45)), introduced(assumption)).
% 8.34/6.17 tff(26841,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s45)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26842,plain,
% 8.34/6.17 (((~trans(s349, s45)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s45)) <=> (until2p7(s45) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s45)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26843,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s45)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s45))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26842])).
% 8.34/6.17 tff(26844,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s45)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s45)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26843, 26841])).
% 8.34/6.17 tff(26845,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s45)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s45))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26846,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s45))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26845, 26844])).
% 8.34/6.17 tff(26847,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26846, 22690, 26840, 23114, 26839, 24569])).
% 8.34/6.17 tff(26848,plain,((~trans(s349, s45)) | until2p7(s45) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26849,plain,
% 8.34/6.17 (~trans(s349, s45)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26848, 25905, 22676])).
% 8.34/6.17 tff(26850,assumption,(~until2p7(s167)), introduced(assumption)).
% 8.34/6.17 tff(26851,assumption,(trans(s349, s167)), introduced(assumption)).
% 8.34/6.17 tff(26852,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s167) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s167)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s167)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26853,plain,
% 8.34/6.17 (((~trans(s349, s167)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s167)) <=> (until2p7(s167) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s167)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26854,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s167)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s167) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s167))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26853])).
% 8.34/6.17 tff(26855,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s167)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s167)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26854, 26852])).
% 8.34/6.17 tff(26856,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s167)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s167))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26857,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s167))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26856, 26855])).
% 8.34/6.17 tff(26858,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26857, 22690, 26851, 23114, 26850, 24569])).
% 8.34/6.17 tff(26859,plain,((~trans(s349, s167)) | until2p7(s167) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26860,plain,
% 8.34/6.17 (~trans(s349, s167)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26859, 24630, 22676])).
% 8.34/6.17 tff(26861,assumption,(~until2p7(s92)), introduced(assumption)).
% 8.34/6.17 tff(26862,assumption,(trans(s349, s92)), introduced(assumption)).
% 8.34/6.17 tff(26863,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s92) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s92)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26864,plain,
% 8.34/6.17 (((~trans(s349, s92)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s92)) <=> (until2p7(s92) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s92)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26865,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s92)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s92) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s92))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26864])).
% 8.34/6.17 tff(26866,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s92)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s92)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26865, 26863])).
% 8.34/6.17 tff(26867,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s92)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s92))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26868,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s92))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26867, 26866])).
% 8.34/6.17 tff(26869,plain,
% 8.34/6.17 ($false),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26868, 22690, 26862, 23114, 26861, 24569])).
% 8.34/6.17 tff(26870,plain,((~trans(s349, s92)) | until2p7(s92) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.17 tff(26871,plain,
% 8.34/6.17 (~trans(s349, s92)),
% 8.34/6.17 inference(unit_resolution,[status(thm)],[26870, 25424, 22676])).
% 8.34/6.17 tff(26872,assumption,(~until2p7(s115)), introduced(assumption)).
% 8.34/6.17 tff(26873,assumption,(trans(s349, s115)), introduced(assumption)).
% 8.34/6.17 tff(26874,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s115) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s115)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s115)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26875,plain,
% 8.34/6.17 (((~trans(s349, s115)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s115)) <=> (until2p7(s115) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s115)))),
% 8.34/6.17 inference(rewrite,[status(thm)],[])).
% 8.34/6.17 tff(26876,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s115)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s115) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s115))))),
% 8.34/6.17 inference(monotonicity,[status(thm)],[26875])).
% 8.34/6.17 tff(26877,plain,
% 8.34/6.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s115)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s115)))),
% 8.34/6.17 inference(transitivity,[status(thm)],[26876, 26874])).
% 8.34/6.17 tff(26878,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s115)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s115))),
% 8.34/6.17 inference(quant_inst,[status(thm)],[])).
% 8.34/6.17 tff(26879,plain,
% 8.34/6.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s115))),
% 8.34/6.17 inference(modus_ponens,[status(thm)],[26878, 26877])).
% 8.34/6.18 tff(26880,plain,
% 8.34/6.18 ($false),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26879, 22690, 26873, 23114, 26872, 24569])).
% 8.34/6.18 tff(26881,plain,((~trans(s349, s115)) | until2p7(s115) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.18 tff(26882,plain,
% 8.34/6.18 (~trans(s349, s115)),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26881, 25194, 22676])).
% 8.34/6.18 tff(26883,assumption,(~until2p7(s54)), introduced(assumption)).
% 8.34/6.18 tff(26884,assumption,(trans(s349, s54)), introduced(assumption)).
% 8.34/6.18 tff(26885,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s54) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s54)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26886,plain,
% 8.34/6.18 (((~trans(s349, s54)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s54)) <=> (until2p7(s54) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s54)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26887,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s54)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s54) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s54))))),
% 8.34/6.18 inference(monotonicity,[status(thm)],[26886])).
% 8.34/6.18 tff(26888,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s54)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s54)))),
% 8.34/6.18 inference(transitivity,[status(thm)],[26887, 26885])).
% 8.34/6.18 tff(26889,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s54)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s54))),
% 8.34/6.18 inference(quant_inst,[status(thm)],[])).
% 8.34/6.18 tff(26890,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s54))),
% 8.34/6.18 inference(modus_ponens,[status(thm)],[26889, 26888])).
% 8.34/6.18 tff(26891,plain,
% 8.34/6.18 ($false),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26890, 22690, 26884, 23114, 26883, 24569])).
% 8.34/6.18 tff(26892,plain,((~trans(s349, s54)) | until2p7(s54) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.18 tff(26893,plain,
% 8.34/6.18 (~trans(s349, s54)),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26892, 25815, 22676])).
% 8.34/6.18 tff(26894,assumption,(~until2p7(s130)), introduced(assumption)).
% 8.34/6.18 tff(26895,assumption,(trans(s349, s130)), introduced(assumption)).
% 8.34/6.18 tff(26896,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s130) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s130)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s130)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26897,plain,
% 8.34/6.18 (((~trans(s349, s130)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s130)) <=> (until2p7(s130) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s130)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26898,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s130)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s130) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s130))))),
% 8.34/6.18 inference(monotonicity,[status(thm)],[26897])).
% 8.34/6.18 tff(26899,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s130)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s130)))),
% 8.34/6.18 inference(transitivity,[status(thm)],[26898, 26896])).
% 8.34/6.18 tff(26900,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s130)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s130))),
% 8.34/6.18 inference(quant_inst,[status(thm)],[])).
% 8.34/6.18 tff(26901,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s130))),
% 8.34/6.18 inference(modus_ponens,[status(thm)],[26900, 26899])).
% 8.34/6.18 tff(26902,plain,
% 8.34/6.18 ($false),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26901, 22690, 26895, 23114, 26894, 24569])).
% 8.34/6.18 tff(26903,plain,((~trans(s349, s130)) | until2p7(s130) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.18 tff(26904,plain,
% 8.34/6.18 (~trans(s349, s130)),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26903, 25044, 22676])).
% 8.34/6.18 tff(26905,assumption,(~until2p7(s89)), introduced(assumption)).
% 8.34/6.18 tff(26906,assumption,(trans(s349, s89)), introduced(assumption)).
% 8.34/6.18 tff(26907,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s89) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s89)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26908,plain,
% 8.34/6.18 (((~trans(s349, s89)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s89)) <=> (until2p7(s89) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s89)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26909,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s89)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s89) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s89))))),
% 8.34/6.18 inference(monotonicity,[status(thm)],[26908])).
% 8.34/6.18 tff(26910,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s89)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s89)))),
% 8.34/6.18 inference(transitivity,[status(thm)],[26909, 26907])).
% 8.34/6.18 tff(26911,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s89)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s89))),
% 8.34/6.18 inference(quant_inst,[status(thm)],[])).
% 8.34/6.18 tff(26912,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s89))),
% 8.34/6.18 inference(modus_ponens,[status(thm)],[26911, 26910])).
% 8.34/6.18 tff(26913,plain,
% 8.34/6.18 ($false),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26912, 22690, 26906, 23114, 26905, 24569])).
% 8.34/6.18 tff(26914,plain,((~trans(s349, s89)) | until2p7(s89) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.18 tff(26915,plain,
% 8.34/6.18 (~trans(s349, s89)),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26914, 25454, 22676])).
% 8.34/6.18 tff(26916,assumption,(~until2p7(s242)), introduced(assumption)).
% 8.34/6.18 tff(26917,assumption,(trans(s349, s242)), introduced(assumption)).
% 8.34/6.18 tff(26918,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s242) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s242)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s242) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s242)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26919,plain,
% 8.34/6.18 (((~trans(s349, s242)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s242)) <=> (until2p7(s242) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s242)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26920,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s242)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s242) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s242))))),
% 8.34/6.18 inference(monotonicity,[status(thm)],[26919])).
% 8.34/6.18 tff(26921,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s242)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s242) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s242)))),
% 8.34/6.18 inference(transitivity,[status(thm)],[26920, 26918])).
% 8.34/6.18 tff(26922,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s242)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s242))),
% 8.34/6.18 inference(quant_inst,[status(thm)],[])).
% 8.34/6.18 tff(26923,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s242) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s242))),
% 8.34/6.18 inference(modus_ponens,[status(thm)],[26922, 26921])).
% 8.34/6.18 tff(26924,plain,
% 8.34/6.18 ($false),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26923, 22690, 26917, 23114, 26916, 24569])).
% 8.34/6.18 tff(26925,plain,((~trans(s349, s242)) | until2p7(s242) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.18 tff(26926,plain,
% 8.34/6.18 (~trans(s349, s242)),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26925, 23868, 22676])).
% 8.34/6.18 tff(26927,assumption,(~until2p7(s325)), introduced(assumption)).
% 8.34/6.18 tff(26928,assumption,(trans(s349, s325)), introduced(assumption)).
% 8.34/6.18 tff(26929,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s325) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s325)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s325) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s325)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26930,plain,
% 8.34/6.18 (((~trans(s349, s325)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s325)) <=> (until2p7(s325) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s325)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26931,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s325)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s325) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s325))))),
% 8.34/6.18 inference(monotonicity,[status(thm)],[26930])).
% 8.34/6.18 tff(26932,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s325)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s325) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s325)))),
% 8.34/6.18 inference(transitivity,[status(thm)],[26931, 26929])).
% 8.34/6.18 tff(26933,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s325)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s325))),
% 8.34/6.18 inference(quant_inst,[status(thm)],[])).
% 8.34/6.18 tff(26934,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s325) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s325))),
% 8.34/6.18 inference(modus_ponens,[status(thm)],[26933, 26932])).
% 8.34/6.18 tff(26935,plain,
% 8.34/6.18 ($false),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26934, 22690, 26928, 23114, 26927, 24569])).
% 8.34/6.18 tff(26936,plain,((~trans(s349, s325)) | until2p7(s325) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.18 tff(26937,plain,
% 8.34/6.18 (~trans(s349, s325)),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26936, 22964, 22676])).
% 8.34/6.18 tff(26938,assumption,(~until2p7(s123)), introduced(assumption)).
% 8.34/6.18 tff(26939,assumption,(trans(s349, s123)), introduced(assumption)).
% 8.34/6.18 tff(26940,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s123) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s123)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s123)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26941,plain,
% 8.34/6.18 (((~trans(s349, s123)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s123)) <=> (until2p7(s123) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s123)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26942,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s123)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s123) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s123))))),
% 8.34/6.18 inference(monotonicity,[status(thm)],[26941])).
% 8.34/6.18 tff(26943,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s123)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s123)))),
% 8.34/6.18 inference(transitivity,[status(thm)],[26942, 26940])).
% 8.34/6.18 tff(26944,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s123)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s123))),
% 8.34/6.18 inference(quant_inst,[status(thm)],[])).
% 8.34/6.18 tff(26945,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s123))),
% 8.34/6.18 inference(modus_ponens,[status(thm)],[26944, 26943])).
% 8.34/6.18 tff(26946,plain,
% 8.34/6.18 ($false),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26945, 22690, 26939, 23114, 26938, 24569])).
% 8.34/6.18 tff(26947,plain,((~trans(s349, s123)) | until2p7(s123) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.34/6.18 tff(26948,plain,
% 8.34/6.18 (~trans(s349, s123)),
% 8.34/6.18 inference(unit_resolution,[status(thm)],[26947, 25114, 22676])).
% 8.34/6.18 tff(26949,assumption,(~until2p7(s297)), introduced(assumption)).
% 8.34/6.18 tff(26950,assumption,(trans(s349, s297)), introduced(assumption)).
% 8.34/6.18 tff(26951,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s297) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s297)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s297) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s297)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26952,plain,
% 8.34/6.18 (((~trans(s349, s297)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s297)) <=> (until2p7(s297) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s297)))),
% 8.34/6.18 inference(rewrite,[status(thm)],[])).
% 8.34/6.18 tff(26953,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s297)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s297) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s297))))),
% 8.34/6.18 inference(monotonicity,[status(thm)],[26952])).
% 8.34/6.18 tff(26954,plain,
% 8.34/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s297)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s297) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s297)))),
% 8.34/6.18 inference(transitivity,[status(thm)],[26953, 26951])).
% 8.34/6.18 tff(26955,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s297)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s297))),
% 8.34/6.18 inference(quant_inst,[status(thm)],[])).
% 8.34/6.18 tff(26956,plain,
% 8.34/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s297) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s297))),
% 8.41/6.18 inference(modus_ponens,[status(thm)],[26955, 26954])).
% 8.41/6.18 tff(26957,plain,
% 8.41/6.18 ($false),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[26956, 22690, 26950, 23114, 26949, 24569])).
% 8.41/6.18 tff(26958,plain,((~trans(s349, s297)) | until2p7(s297) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.18 tff(26959,plain,
% 8.41/6.18 (~trans(s349, s297)),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[26958, 23318, 22676])).
% 8.41/6.18 tff(26960,assumption,(~until2p7(s136)), introduced(assumption)).
% 8.41/6.18 tff(26961,assumption,(trans(s349, s136)), introduced(assumption)).
% 8.41/6.18 tff(26962,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s136) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s136)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s136)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(26963,plain,
% 8.41/6.18 (((~trans(s349, s136)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s136)) <=> (until2p7(s136) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s136)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(26964,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s136)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s136) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s136))))),
% 8.41/6.18 inference(monotonicity,[status(thm)],[26963])).
% 8.41/6.18 tff(26965,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s136)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s136)))),
% 8.41/6.18 inference(transitivity,[status(thm)],[26964, 26962])).
% 8.41/6.18 tff(26966,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s136)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s136))),
% 8.41/6.18 inference(quant_inst,[status(thm)],[])).
% 8.41/6.18 tff(26967,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s136))),
% 8.41/6.18 inference(modus_ponens,[status(thm)],[26966, 26965])).
% 8.41/6.18 tff(26968,plain,
% 8.41/6.18 ($false),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[26967, 22690, 26961, 23114, 26960, 24569])).
% 8.41/6.18 tff(26969,plain,((~trans(s349, s136)) | until2p7(s136) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.18 tff(26970,plain,
% 8.41/6.18 (~trans(s349, s136)),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[26969, 24940, 22676])).
% 8.41/6.18 tff(26971,assumption,(~until2p7(s280)), introduced(assumption)).
% 8.41/6.18 tff(26972,assumption,(trans(s349, s280)), introduced(assumption)).
% 8.41/6.18 tff(26973,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s280) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s280)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s280) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s280)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(26974,plain,
% 8.41/6.18 (((~trans(s349, s280)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s280)) <=> (until2p7(s280) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s280)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(26975,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s280)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s280) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s280))))),
% 8.41/6.18 inference(monotonicity,[status(thm)],[26974])).
% 8.41/6.18 tff(26976,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s280)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s280) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s280)))),
% 8.41/6.18 inference(transitivity,[status(thm)],[26975, 26973])).
% 8.41/6.18 tff(26977,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s280)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s280))),
% 8.41/6.18 inference(quant_inst,[status(thm)],[])).
% 8.41/6.18 tff(26978,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s280) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s280))),
% 8.41/6.18 inference(modus_ponens,[status(thm)],[26977, 26976])).
% 8.41/6.18 tff(26979,plain,
% 8.41/6.18 ($false),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[26978, 22690, 26972, 23114, 26971, 24569])).
% 8.41/6.18 tff(26980,plain,((~trans(s349, s280)) | until2p7(s280) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.18 tff(26981,plain,
% 8.41/6.18 (~trans(s349, s280)),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[26980, 23488, 22676])).
% 8.41/6.18 tff(26982,assumption,(~until2p7(s178)), introduced(assumption)).
% 8.41/6.18 tff(26983,assumption,(trans(s349, s178)), introduced(assumption)).
% 8.41/6.18 tff(26984,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s178) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s178)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s178)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(26985,plain,
% 8.41/6.18 (((~trans(s349, s178)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s178)) <=> (until2p7(s178) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s178)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(26986,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s178)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s178) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s178))))),
% 8.41/6.18 inference(monotonicity,[status(thm)],[26985])).
% 8.41/6.18 tff(26987,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s178)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s178)))),
% 8.41/6.18 inference(transitivity,[status(thm)],[26986, 26984])).
% 8.41/6.18 tff(26988,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s178)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s178))),
% 8.41/6.18 inference(quant_inst,[status(thm)],[])).
% 8.41/6.18 tff(26989,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s178))),
% 8.41/6.18 inference(modus_ponens,[status(thm)],[26988, 26987])).
% 8.41/6.18 tff(26990,plain,
% 8.41/6.18 ($false),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[26989, 22690, 26983, 23114, 26982, 24569])).
% 8.41/6.18 tff(26991,plain,((~trans(s349, s178)) | until2p7(s178) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.18 tff(26992,plain,
% 8.41/6.18 (~trans(s349, s178)),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[26991, 24508, 22676])).
% 8.41/6.18 tff(26993,assumption,(~until2p7(s120)), introduced(assumption)).
% 8.41/6.18 tff(26994,assumption,(trans(s349, s120)), introduced(assumption)).
% 8.41/6.18 tff(26995,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s120) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s120)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s120)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(26996,plain,
% 8.41/6.18 (((~trans(s349, s120)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s120)) <=> (until2p7(s120) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s120)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(26997,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s120)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s120) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s120))))),
% 8.41/6.18 inference(monotonicity,[status(thm)],[26996])).
% 8.41/6.18 tff(26998,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s120)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s120)))),
% 8.41/6.18 inference(transitivity,[status(thm)],[26997, 26995])).
% 8.41/6.18 tff(26999,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s120)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s120))),
% 8.41/6.18 inference(quant_inst,[status(thm)],[])).
% 8.41/6.18 tff(27000,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s120))),
% 8.41/6.18 inference(modus_ponens,[status(thm)],[26999, 26998])).
% 8.41/6.18 tff(27001,plain,
% 8.41/6.18 ($false),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[27000, 22690, 26994, 23114, 26993, 24569])).
% 8.41/6.18 tff(27002,plain,((~trans(s349, s120)) | until2p7(s120) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.18 tff(27003,plain,
% 8.41/6.18 (~trans(s349, s120)),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[27002, 25144, 22676])).
% 8.41/6.18 tff(27004,assumption,(~until2p7(s43)), introduced(assumption)).
% 8.41/6.18 tff(27005,assumption,(trans(s349, s43)), introduced(assumption)).
% 8.41/6.18 tff(27006,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s43)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(27007,plain,
% 8.41/6.18 (((~trans(s349, s43)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s43)) <=> (until2p7(s43) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s43)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(27008,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s43)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s43))))),
% 8.41/6.18 inference(monotonicity,[status(thm)],[27007])).
% 8.41/6.18 tff(27009,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s43)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s43)))),
% 8.41/6.18 inference(transitivity,[status(thm)],[27008, 27006])).
% 8.41/6.18 tff(27010,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s43)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s43))),
% 8.41/6.18 inference(quant_inst,[status(thm)],[])).
% 8.41/6.18 tff(27011,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s43))),
% 8.41/6.18 inference(modus_ponens,[status(thm)],[27010, 27009])).
% 8.41/6.18 tff(27012,plain,
% 8.41/6.18 ($false),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[27011, 22690, 27005, 23114, 27004, 24569])).
% 8.41/6.18 tff(27013,plain,((~trans(s349, s43)) | until2p7(s43) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.18 tff(27014,plain,
% 8.41/6.18 (~trans(s349, s43)),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[27013, 25925, 22676])).
% 8.41/6.18 tff(27015,assumption,(~until2p7(s88)), introduced(assumption)).
% 8.41/6.18 tff(27016,assumption,(trans(s349, s88)), introduced(assumption)).
% 8.41/6.18 tff(27017,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s88) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s88)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(27018,plain,
% 8.41/6.18 (((~trans(s349, s88)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s88)) <=> (until2p7(s88) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s88)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(27019,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s88)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s88) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s88))))),
% 8.41/6.18 inference(monotonicity,[status(thm)],[27018])).
% 8.41/6.18 tff(27020,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s88)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s88)))),
% 8.41/6.18 inference(transitivity,[status(thm)],[27019, 27017])).
% 8.41/6.18 tff(27021,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s88)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s88))),
% 8.41/6.18 inference(quant_inst,[status(thm)],[])).
% 8.41/6.18 tff(27022,plain,
% 8.41/6.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s88))),
% 8.41/6.18 inference(modus_ponens,[status(thm)],[27021, 27020])).
% 8.41/6.18 tff(27023,plain,
% 8.41/6.18 ($false),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[27022, 22690, 27016, 23114, 27015, 24569])).
% 8.41/6.18 tff(27024,plain,((~trans(s349, s88)) | until2p7(s88) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.18 tff(27025,plain,
% 8.41/6.18 (~trans(s349, s88)),
% 8.41/6.18 inference(unit_resolution,[status(thm)],[27024, 25464, 22676])).
% 8.41/6.18 tff(27026,assumption,(~until2p7(s149)), introduced(assumption)).
% 8.41/6.18 tff(27027,assumption,(trans(s349, s149)), introduced(assumption)).
% 8.41/6.18 tff(27028,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s149) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s149)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s149)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(27029,plain,
% 8.41/6.18 (((~trans(s349, s149)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s149)) <=> (until2p7(s149) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s149)))),
% 8.41/6.18 inference(rewrite,[status(thm)],[])).
% 8.41/6.18 tff(27030,plain,
% 8.41/6.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s149)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s149) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s149))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27029])).
% 8.41/6.19 tff(27031,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s149)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s149)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27030, 27028])).
% 8.41/6.19 tff(27032,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s149)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s149))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27033,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s149))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27032, 27031])).
% 8.41/6.19 tff(27034,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27033, 22690, 27027, 23114, 27026, 24569])).
% 8.41/6.19 tff(27035,plain,((~trans(s349, s149)) | until2p7(s149) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27036,plain,
% 8.41/6.19 (~trans(s349, s149)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27035, 24810, 22676])).
% 8.41/6.19 tff(27037,assumption,(~until2p7(s316)), introduced(assumption)).
% 8.41/6.19 tff(27038,assumption,(trans(s349, s316)), introduced(assumption)).
% 8.41/6.19 tff(27039,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s316) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s316)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s316) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s316)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27040,plain,
% 8.41/6.19 (((~trans(s349, s316)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s316)) <=> (until2p7(s316) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s316)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27041,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s316)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s316) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s316))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27040])).
% 8.41/6.19 tff(27042,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s316)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s316) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s316)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27041, 27039])).
% 8.41/6.19 tff(27043,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s316)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s316))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27044,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s316) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s316))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27043, 27042])).
% 8.41/6.19 tff(27045,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27044, 22690, 27038, 23114, 27037, 24569])).
% 8.41/6.19 tff(27046,plain,((~trans(s349, s316)) | until2p7(s316) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27047,plain,
% 8.41/6.19 (~trans(s349, s316)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27046, 23054, 22676])).
% 8.41/6.19 tff(27048,assumption,(~until2p7(s188)), introduced(assumption)).
% 8.41/6.19 tff(27049,assumption,(trans(s349, s188)), introduced(assumption)).
% 8.41/6.19 tff(27050,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s188) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s188)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s188)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27051,plain,
% 8.41/6.19 (((~trans(s349, s188)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s188)) <=> (until2p7(s188) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s188)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27052,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s188)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s188) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s188))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27051])).
% 8.41/6.19 tff(27053,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s188)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s188)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27052, 27050])).
% 8.41/6.19 tff(27054,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s188)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s188))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27055,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s188))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27054, 27053])).
% 8.41/6.19 tff(27056,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27055, 22690, 27049, 23114, 27048, 24569])).
% 8.41/6.19 tff(27057,plain,((~trans(s349, s188)) | until2p7(s188) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27058,plain,
% 8.41/6.19 (~trans(s349, s188)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27057, 24408, 22676])).
% 8.41/6.19 tff(27059,assumption,(~until2p7(s15)), introduced(assumption)).
% 8.41/6.19 tff(27060,assumption,(trans(s349, s15)), introduced(assumption)).
% 8.41/6.19 tff(27061,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s15)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27062,plain,
% 8.41/6.19 (((~trans(s349, s15)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s15)) <=> (until2p7(s15) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s15)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27063,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s15)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s15))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27062])).
% 8.41/6.19 tff(27064,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s15)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s15)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27063, 27061])).
% 8.41/6.19 tff(27065,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s15)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s15))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27066,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s15))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27065, 27064])).
% 8.41/6.19 tff(27067,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27066, 22690, 27060, 23114, 27059, 24569])).
% 8.41/6.19 tff(27068,plain,((~trans(s349, s15)) | until2p7(s15) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27069,plain,
% 8.41/6.19 (~trans(s349, s15)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27068, 26218, 22676])).
% 8.41/6.19 tff(27070,assumption,(~until2p7(s312)), introduced(assumption)).
% 8.41/6.19 tff(27071,assumption,(trans(s349, s312)), introduced(assumption)).
% 8.41/6.19 tff(27072,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s312) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s312)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s312) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s312)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27073,plain,
% 8.41/6.19 (((~trans(s349, s312)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s312)) <=> (until2p7(s312) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s312)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27074,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s312)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s312) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s312))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27073])).
% 8.41/6.19 tff(27075,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s312)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s312) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s312)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27074, 27072])).
% 8.41/6.19 tff(27076,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s312)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s312))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27077,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s312) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s312))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27076, 27075])).
% 8.41/6.19 tff(27078,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27077, 22690, 27071, 23114, 27070, 24569])).
% 8.41/6.19 tff(27079,plain,((~trans(s349, s312)) | until2p7(s312) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27080,plain,
% 8.41/6.19 (~trans(s349, s312)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27079, 23094, 22676])).
% 8.41/6.19 tff(27081,assumption,(~until2p7(s306)), introduced(assumption)).
% 8.41/6.19 tff(27082,assumption,(trans(s349, s306)), introduced(assumption)).
% 8.41/6.19 tff(27083,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s306) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s306)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s306) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s306)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27084,plain,
% 8.41/6.19 (((~trans(s349, s306)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s306)) <=> (until2p7(s306) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s306)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27085,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s306)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s306) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s306))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27084])).
% 8.41/6.19 tff(27086,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s306)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s306) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s306)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27085, 27083])).
% 8.41/6.19 tff(27087,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s306)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s306))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27088,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s306) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s306))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27087, 27086])).
% 8.41/6.19 tff(27089,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27088, 22690, 27082, 23114, 27081, 24569])).
% 8.41/6.19 tff(27090,plain,((~trans(s349, s306)) | until2p7(s306) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27091,plain,
% 8.41/6.19 (~trans(s349, s306)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27090, 23228, 22676])).
% 8.41/6.19 tff(27092,assumption,(~until2p7(s84)), introduced(assumption)).
% 8.41/6.19 tff(27093,assumption,(trans(s349, s84)), introduced(assumption)).
% 8.41/6.19 tff(27094,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s84) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s84)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27095,plain,
% 8.41/6.19 (((~trans(s349, s84)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s84)) <=> (until2p7(s84) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s84)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27096,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s84)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s84) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s84))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27095])).
% 8.41/6.19 tff(27097,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s84)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s84)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27096, 27094])).
% 8.41/6.19 tff(27098,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s84)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s84))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27099,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s84))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27098, 27097])).
% 8.41/6.19 tff(27100,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27099, 22690, 27093, 23114, 27092, 24569])).
% 8.41/6.19 tff(27101,plain,((~trans(s349, s84)) | until2p7(s84) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27102,plain,
% 8.41/6.19 (~trans(s349, s84)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27101, 25504, 22676])).
% 8.41/6.19 tff(27103,assumption,(~until2p7(s34)), introduced(assumption)).
% 8.41/6.19 tff(27104,assumption,(trans(s349, s34)), introduced(assumption)).
% 8.41/6.19 tff(27105,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s34)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27106,plain,
% 8.41/6.19 (((~trans(s349, s34)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s34)) <=> (until2p7(s34) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s34)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27107,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s34)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s34))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27106])).
% 8.41/6.19 tff(27108,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s34)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s34)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27107, 27105])).
% 8.41/6.19 tff(27109,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s34)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s34))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27110,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s34))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27109, 27108])).
% 8.41/6.19 tff(27111,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27110, 22690, 27104, 23114, 27103, 24569])).
% 8.41/6.19 tff(27112,plain,((~trans(s349, s34)) | until2p7(s34) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27113,plain,
% 8.41/6.19 (~trans(s349, s34)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27112, 26019, 22676])).
% 8.41/6.19 tff(27114,assumption,(~until2p7(s344)), introduced(assumption)).
% 8.41/6.19 tff(27115,assumption,(trans(s349, s344)), introduced(assumption)).
% 8.41/6.19 tff(27116,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s344) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s344)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s344) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s344)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27117,plain,
% 8.41/6.19 (((~trans(s349, s344)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s344)) <=> (until2p7(s344) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s344)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27118,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s344)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s344) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s344))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27117])).
% 8.41/6.19 tff(27119,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s344)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s344) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s344)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27118, 27116])).
% 8.41/6.19 tff(27120,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s344)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s344))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27121,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s344) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s344))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27120, 27119])).
% 8.41/6.19 tff(27122,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27121, 22690, 27115, 23114, 27114, 24569])).
% 8.41/6.19 tff(27123,plain,((~trans(s349, s344)) | until2p7(s344) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27124,plain,
% 8.41/6.19 (~trans(s349, s344)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27123, 22774, 22676])).
% 8.41/6.19 tff(27125,assumption,(~until2p7(s228)), introduced(assumption)).
% 8.41/6.19 tff(27126,assumption,(trans(s349, s228)), introduced(assumption)).
% 8.41/6.19 tff(27127,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s228) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s228)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s228) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s228)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27128,plain,
% 8.41/6.19 (((~trans(s349, s228)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s228)) <=> (until2p7(s228) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s228)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27129,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s228)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s228) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s228))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27128])).
% 8.41/6.19 tff(27130,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s228)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s228) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s228)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27129, 27127])).
% 8.41/6.19 tff(27131,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s228)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s228))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27132,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s228) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s228))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27131, 27130])).
% 8.41/6.19 tff(27133,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27132, 22690, 27126, 23114, 27125, 24569])).
% 8.41/6.19 tff(27134,plain,((~trans(s349, s228)) | until2p7(s228) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27135,plain,
% 8.41/6.19 (~trans(s349, s228)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27134, 24008, 22676])).
% 8.41/6.19 tff(27136,assumption,(~until2p7(s75)), introduced(assumption)).
% 8.41/6.19 tff(27137,assumption,(trans(s349, s75)), introduced(assumption)).
% 8.41/6.19 tff(27138,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s75) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s75)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27139,plain,
% 8.41/6.19 (((~trans(s349, s75)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s75)) <=> (until2p7(s75) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s75)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27140,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s75)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s75) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s75))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27139])).
% 8.41/6.19 tff(27141,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s75)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s75)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27140, 27138])).
% 8.41/6.19 tff(27142,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s75)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s75))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27143,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s75))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27142, 27141])).
% 8.41/6.19 tff(27144,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27143, 22690, 27137, 23114, 27136, 24569])).
% 8.41/6.19 tff(27145,plain,((~trans(s349, s75)) | until2p7(s75) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27146,plain,
% 8.41/6.19 (~trans(s349, s75)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27145, 25594, 22676])).
% 8.41/6.19 tff(27147,assumption,(~until2p7(s299)), introduced(assumption)).
% 8.41/6.19 tff(27148,assumption,(trans(s349, s299)), introduced(assumption)).
% 8.41/6.19 tff(27149,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s299) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s299)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s299) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s299)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27150,plain,
% 8.41/6.19 (((~trans(s349, s299)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s299)) <=> (until2p7(s299) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s299)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27151,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s299)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s299) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s299))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27150])).
% 8.41/6.19 tff(27152,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s299)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s299) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s299)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27151, 27149])).
% 8.41/6.19 tff(27153,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s299)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s299))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27154,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s299) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s299))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27153, 27152])).
% 8.41/6.19 tff(27155,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27154, 22690, 27148, 23114, 27147, 24569])).
% 8.41/6.19 tff(27156,plain,((~trans(s349, s299)) | until2p7(s299) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27157,plain,
% 8.41/6.19 (~trans(s349, s299)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27156, 23298, 22676])).
% 8.41/6.19 tff(27158,assumption,(~until2p7(s119)), introduced(assumption)).
% 8.41/6.19 tff(27159,assumption,(trans(s349, s119)), introduced(assumption)).
% 8.41/6.19 tff(27160,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s119) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s119)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s119)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27161,plain,
% 8.41/6.19 (((~trans(s349, s119)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s119)) <=> (until2p7(s119) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s119)))),
% 8.41/6.19 inference(rewrite,[status(thm)],[])).
% 8.41/6.19 tff(27162,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s119)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s119) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s119))))),
% 8.41/6.19 inference(monotonicity,[status(thm)],[27161])).
% 8.41/6.19 tff(27163,plain,
% 8.41/6.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s119)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s119)))),
% 8.41/6.19 inference(transitivity,[status(thm)],[27162, 27160])).
% 8.41/6.19 tff(27164,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s119)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s119))),
% 8.41/6.19 inference(quant_inst,[status(thm)],[])).
% 8.41/6.19 tff(27165,plain,
% 8.41/6.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s119))),
% 8.41/6.19 inference(modus_ponens,[status(thm)],[27164, 27163])).
% 8.41/6.19 tff(27166,plain,
% 8.41/6.19 ($false),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27165, 22690, 27159, 23114, 27158, 24569])).
% 8.41/6.19 tff(27167,plain,((~trans(s349, s119)) | until2p7(s119) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.19 tff(27168,plain,
% 8.41/6.19 (~trans(s349, s119)),
% 8.41/6.19 inference(unit_resolution,[status(thm)],[27167, 25154, 22676])).
% 8.41/6.20 tff(27169,assumption,(~until2p7(s68)), introduced(assumption)).
% 8.41/6.20 tff(27170,assumption,(trans(s349, s68)), introduced(assumption)).
% 8.41/6.20 tff(27171,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s68) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s68)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27172,plain,
% 8.41/6.20 (((~trans(s349, s68)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s68)) <=> (until2p7(s68) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s68)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27173,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s68)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s68) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s68))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27172])).
% 8.41/6.20 tff(27174,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s68)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s68)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27173, 27171])).
% 8.41/6.20 tff(27175,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s68)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s68))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27176,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s68))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27175, 27174])).
% 8.41/6.20 tff(27177,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27176, 22690, 27170, 23114, 27169, 24569])).
% 8.41/6.20 tff(27178,plain,((~trans(s349, s68)) | until2p7(s68) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27179,plain,
% 8.41/6.20 (~trans(s349, s68)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27178, 25664, 22676])).
% 8.41/6.20 tff(27180,assumption,(~until2p7(s10)), introduced(assumption)).
% 8.41/6.20 tff(27181,assumption,(trans(s349, s10)), introduced(assumption)).
% 8.41/6.20 tff(27182,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s10)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27183,plain,
% 8.41/6.20 (((~trans(s349, s10)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s10)) <=> (until2p7(s10) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s10)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27184,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s10)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s10))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27183])).
% 8.41/6.20 tff(27185,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s10)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s10)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27184, 27182])).
% 8.41/6.20 tff(27186,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s10)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s10))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27187,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s10))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27186, 27185])).
% 8.41/6.20 tff(27188,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27187, 22690, 27181, 23114, 27180, 24569])).
% 8.41/6.20 tff(27189,plain,((~trans(s349, s10)) | until2p7(s10) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27190,plain,
% 8.41/6.20 (~trans(s349, s10)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27189, 26268, 22676])).
% 8.41/6.20 tff(27191,assumption,(~until2p7(s214)), introduced(assumption)).
% 8.41/6.20 tff(27192,assumption,(trans(s349, s214)), introduced(assumption)).
% 8.41/6.20 tff(27193,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s214) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s214)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s214) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s214)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27194,plain,
% 8.41/6.20 (((~trans(s349, s214)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s214)) <=> (until2p7(s214) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s214)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27195,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s214)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s214) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s214))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27194])).
% 8.41/6.20 tff(27196,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s214)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s214) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s214)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27195, 27193])).
% 8.41/6.20 tff(27197,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s214)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s214))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27198,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s214) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s214))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27197, 27196])).
% 8.41/6.20 tff(27199,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27198, 22690, 27192, 23114, 27191, 24569])).
% 8.41/6.20 tff(27200,plain,((~trans(s349, s214)) | until2p7(s214) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27201,plain,
% 8.41/6.20 (~trans(s349, s214)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27200, 24148, 22676])).
% 8.41/6.20 tff(27202,assumption,(~until2p7(s151)), introduced(assumption)).
% 8.41/6.20 tff(27203,assumption,(trans(s349, s151)), introduced(assumption)).
% 8.41/6.20 tff(27204,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s151) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s151)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s151)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27205,plain,
% 8.41/6.20 (((~trans(s349, s151)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s151)) <=> (until2p7(s151) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s151)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27206,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s151)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s151) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s151))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27205])).
% 8.41/6.20 tff(27207,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s151)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s151)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27206, 27204])).
% 8.41/6.20 tff(27208,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s151)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s151))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27209,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s151))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27208, 27207])).
% 8.41/6.20 tff(27210,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27209, 22690, 27203, 23114, 27202, 24569])).
% 8.41/6.20 tff(27211,plain,((~trans(s349, s151)) | until2p7(s151) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27212,plain,
% 8.41/6.20 (~trans(s349, s151)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27211, 24790, 22676])).
% 8.41/6.20 tff(27213,assumption,(~until2p7(s132)), introduced(assumption)).
% 8.41/6.20 tff(27214,assumption,(trans(s349, s132)), introduced(assumption)).
% 8.41/6.20 tff(27215,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s132) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s132)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s132)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27216,plain,
% 8.41/6.20 (((~trans(s349, s132)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s132)) <=> (until2p7(s132) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s132)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27217,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s132)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s132) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s132))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27216])).
% 8.41/6.20 tff(27218,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s132)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s132)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27217, 27215])).
% 8.41/6.20 tff(27219,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s132)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s132))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27220,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s132))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27219, 27218])).
% 8.41/6.20 tff(27221,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27220, 22690, 27214, 23114, 27213, 24569])).
% 8.41/6.20 tff(27222,plain,((~trans(s349, s132)) | until2p7(s132) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27223,plain,
% 8.41/6.20 (~trans(s349, s132)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27222, 25024, 22676])).
% 8.41/6.20 tff(27224,assumption,(~until2p7(s338)), introduced(assumption)).
% 8.41/6.20 tff(27225,assumption,(trans(s349, s338)), introduced(assumption)).
% 8.41/6.20 tff(27226,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s338) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s338)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s338) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s338)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27227,plain,
% 8.41/6.20 (((~trans(s349, s338)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s338)) <=> (until2p7(s338) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s338)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27228,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s338)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s338) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s338))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27227])).
% 8.41/6.20 tff(27229,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s338)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s338) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s338)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27228, 27226])).
% 8.41/6.20 tff(27230,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s338)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s338))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27231,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s338) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s338))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27230, 27229])).
% 8.41/6.20 tff(27232,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27231, 22690, 27225, 23114, 27224, 24569])).
% 8.41/6.20 tff(27233,plain,((~trans(s349, s338)) | until2p7(s338) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27234,plain,
% 8.41/6.20 (~trans(s349, s338)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27233, 22834, 22676])).
% 8.41/6.20 tff(27235,assumption,(~until2p7(s219)), introduced(assumption)).
% 8.41/6.20 tff(27236,assumption,(trans(s349, s219)), introduced(assumption)).
% 8.41/6.20 tff(27237,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s219) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s219)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s219) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s219)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27238,plain,
% 8.41/6.20 (((~trans(s349, s219)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s219)) <=> (until2p7(s219) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s219)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27239,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s219)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s219) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s219))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27238])).
% 8.41/6.20 tff(27240,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s219)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s219) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s219)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27239, 27237])).
% 8.41/6.20 tff(27241,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s219)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s219))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27242,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s219) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s219))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27241, 27240])).
% 8.41/6.20 tff(27243,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27242, 22690, 27236, 23114, 27235, 24569])).
% 8.41/6.20 tff(27244,plain,((~trans(s349, s219)) | until2p7(s219) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27245,plain,
% 8.41/6.20 (~trans(s349, s219)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27244, 24098, 22676])).
% 8.41/6.20 tff(27246,assumption,(~until2p7(s272)), introduced(assumption)).
% 8.41/6.20 tff(27247,assumption,(trans(s349, s272)), introduced(assumption)).
% 8.41/6.20 tff(27248,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s272) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s272)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s272) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s272)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27249,plain,
% 8.41/6.20 (((~trans(s349, s272)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s272)) <=> (until2p7(s272) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s272)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27250,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s272)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s272) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s272))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27249])).
% 8.41/6.20 tff(27251,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s272)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s272) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s272)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27250, 27248])).
% 8.41/6.20 tff(27252,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s272)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s272))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27253,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s272) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s272))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27252, 27251])).
% 8.41/6.20 tff(27254,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27253, 22690, 27247, 23114, 27246, 24569])).
% 8.41/6.20 tff(27255,plain,((~trans(s349, s272)) | until2p7(s272) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27256,plain,
% 8.41/6.20 (~trans(s349, s272)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27255, 23568, 22676])).
% 8.41/6.20 tff(27257,assumption,(~until2p7(s102)), introduced(assumption)).
% 8.41/6.20 tff(27258,assumption,(trans(s349, s102)), introduced(assumption)).
% 8.41/6.20 tff(27259,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s102) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s102)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s102)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27260,plain,
% 8.41/6.20 (((~trans(s349, s102)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s102)) <=> (until2p7(s102) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s102)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27261,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s102)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s102) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s102))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27260])).
% 8.41/6.20 tff(27262,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s102)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s102)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27261, 27259])).
% 8.41/6.20 tff(27263,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s102)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s102))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27264,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s102))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27263, 27262])).
% 8.41/6.20 tff(27265,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27264, 22690, 27258, 23114, 27257, 24569])).
% 8.41/6.20 tff(27266,plain,((~trans(s349, s102)) | until2p7(s102) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27267,plain,
% 8.41/6.20 (~trans(s349, s102)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27266, 25324, 22676])).
% 8.41/6.20 tff(27268,assumption,(~until2p7(s143)), introduced(assumption)).
% 8.41/6.20 tff(27269,assumption,(trans(s349, s143)), introduced(assumption)).
% 8.41/6.20 tff(27270,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s143) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s143)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s143)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27271,plain,
% 8.41/6.20 (((~trans(s349, s143)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s143)) <=> (until2p7(s143) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s143)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27272,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s143)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s143) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s143))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27271])).
% 8.41/6.20 tff(27273,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s143)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s143)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27272, 27270])).
% 8.41/6.20 tff(27274,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s143)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s143))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27275,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s143))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27274, 27273])).
% 8.41/6.20 tff(27276,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27275, 22690, 27269, 23114, 27268, 24569])).
% 8.41/6.20 tff(27277,plain,((~trans(s349, s143)) | until2p7(s143) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27278,plain,
% 8.41/6.20 (~trans(s349, s143)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27277, 24870, 22676])).
% 8.41/6.20 tff(27279,assumption,(~until2p7(s44)), introduced(assumption)).
% 8.41/6.20 tff(27280,assumption,(trans(s349, s44)), introduced(assumption)).
% 8.41/6.20 tff(27281,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s44)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27282,plain,
% 8.41/6.20 (((~trans(s349, s44)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s44)) <=> (until2p7(s44) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s44)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27283,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s44)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s44))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27282])).
% 8.41/6.20 tff(27284,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s44)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s44)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27283, 27281])).
% 8.41/6.20 tff(27285,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s44)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s44))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27286,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s44))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27285, 27284])).
% 8.41/6.20 tff(27287,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27286, 22690, 27280, 23114, 27279, 24569])).
% 8.41/6.20 tff(27288,plain,((~trans(s349, s44)) | until2p7(s44) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27289,plain,
% 8.41/6.20 (~trans(s349, s44)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27288, 25915, 22676])).
% 8.41/6.20 tff(27290,assumption,(~until2p7(s37)), introduced(assumption)).
% 8.41/6.20 tff(27291,assumption,(trans(s349, s37)), introduced(assumption)).
% 8.41/6.20 tff(27292,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s37)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27293,plain,
% 8.41/6.20 (((~trans(s349, s37)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s37)) <=> (until2p7(s37) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s37)))),
% 8.41/6.20 inference(rewrite,[status(thm)],[])).
% 8.41/6.20 tff(27294,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s37)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s37))))),
% 8.41/6.20 inference(monotonicity,[status(thm)],[27293])).
% 8.41/6.20 tff(27295,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s37)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s37)))),
% 8.41/6.20 inference(transitivity,[status(thm)],[27294, 27292])).
% 8.41/6.20 tff(27296,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s37)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s37))),
% 8.41/6.20 inference(quant_inst,[status(thm)],[])).
% 8.41/6.20 tff(27297,plain,
% 8.41/6.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s37))),
% 8.41/6.20 inference(modus_ponens,[status(thm)],[27296, 27295])).
% 8.41/6.20 tff(27298,plain,
% 8.41/6.20 ($false),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27297, 22690, 27291, 23114, 27290, 24569])).
% 8.41/6.20 tff(27299,plain,((~trans(s349, s37)) | until2p7(s37) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.20 tff(27300,plain,
% 8.41/6.20 (~trans(s349, s37)),
% 8.41/6.20 inference(unit_resolution,[status(thm)],[27299, 25985, 22676])).
% 8.41/6.20 tff(27301,assumption,(~until2p7(s137)), introduced(assumption)).
% 8.41/6.20 tff(27302,assumption,(trans(s349, s137)), introduced(assumption)).
% 8.41/6.20 tff(27303,plain,
% 8.41/6.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s137) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s137)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s137)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27304,plain,
% 8.41/6.21 (((~trans(s349, s137)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s137)) <=> (until2p7(s137) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s137)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27305,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s137)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s137) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s137))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27304])).
% 8.41/6.21 tff(27306,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s137)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s137)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27305, 27303])).
% 8.41/6.21 tff(27307,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s137)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s137))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27308,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s137))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27307, 27306])).
% 8.41/6.21 tff(27309,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27308, 22690, 27302, 23114, 27301, 24569])).
% 8.41/6.21 tff(27310,plain,((~trans(s349, s137)) | until2p7(s137) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27311,plain,
% 8.41/6.21 (~trans(s349, s137)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27310, 24930, 22676])).
% 8.41/6.21 tff(27312,assumption,(~until2p7(s170)), introduced(assumption)).
% 8.41/6.21 tff(27313,assumption,(trans(s349, s170)), introduced(assumption)).
% 8.41/6.21 tff(27314,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s170) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s170)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s170)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27315,plain,
% 8.41/6.21 (((~trans(s349, s170)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s170)) <=> (until2p7(s170) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s170)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27316,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s170)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s170) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s170))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27315])).
% 8.41/6.21 tff(27317,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s170)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s170)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27316, 27314])).
% 8.41/6.21 tff(27318,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s170)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s170))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27319,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s170))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27318, 27317])).
% 8.41/6.21 tff(27320,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27319, 22690, 27313, 23114, 27312, 24569])).
% 8.41/6.21 tff(27321,plain,((~trans(s349, s170)) | until2p7(s170) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27322,plain,
% 8.41/6.21 (~trans(s349, s170)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27321, 24600, 22676])).
% 8.41/6.21 tff(27323,assumption,(~until2p7(s61)), introduced(assumption)).
% 8.41/6.21 tff(27324,assumption,(trans(s349, s61)), introduced(assumption)).
% 8.41/6.21 tff(27325,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s61)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27326,plain,
% 8.41/6.21 (((~trans(s349, s61)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s61)) <=> (until2p7(s61) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s61)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27327,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s61)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s61))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27326])).
% 8.41/6.21 tff(27328,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s61)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s61)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27327, 27325])).
% 8.41/6.21 tff(27329,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s61)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s61))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27330,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s61))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27329, 27328])).
% 8.41/6.21 tff(27331,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27330, 22690, 27324, 23114, 27323, 24569])).
% 8.41/6.21 tff(27332,plain,((~trans(s349, s61)) | until2p7(s61) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27333,plain,
% 8.41/6.21 (~trans(s349, s61)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27332, 25745, 22676])).
% 8.41/6.21 tff(27334,assumption,(~until2p7(s49)), introduced(assumption)).
% 8.41/6.21 tff(27335,assumption,(trans(s349, s49)), introduced(assumption)).
% 8.41/6.21 tff(27336,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s49)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27337,plain,
% 8.41/6.21 (((~trans(s349, s49)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s49)) <=> (until2p7(s49) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s49)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27338,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s49)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s49))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27337])).
% 8.41/6.21 tff(27339,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s49)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s49)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27338, 27336])).
% 8.41/6.21 tff(27340,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s49)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s49))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27341,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s49))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27340, 27339])).
% 8.41/6.21 tff(27342,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27341, 22690, 27335, 23114, 27334, 24569])).
% 8.41/6.21 tff(27343,plain,((~trans(s349, s49)) | until2p7(s49) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27344,plain,
% 8.41/6.21 (~trans(s349, s49)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27343, 25865, 22676])).
% 8.41/6.21 tff(27345,assumption,(~until2p7(s101)), introduced(assumption)).
% 8.41/6.21 tff(27346,assumption,(trans(s349, s101)), introduced(assumption)).
% 8.41/6.21 tff(27347,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s101) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s101)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s101)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27348,plain,
% 8.41/6.21 (((~trans(s349, s101)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s101)) <=> (until2p7(s101) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s101)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27349,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s101)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s101) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s101))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27348])).
% 8.41/6.21 tff(27350,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s101)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s101)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27349, 27347])).
% 8.41/6.21 tff(27351,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s101)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s101))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27352,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s101))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27351, 27350])).
% 8.41/6.21 tff(27353,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27352, 22690, 27346, 23114, 27345, 24569])).
% 8.41/6.21 tff(27354,plain,((~trans(s349, s101)) | until2p7(s101) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27355,plain,
% 8.41/6.21 (~trans(s349, s101)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27354, 25334, 22676])).
% 8.41/6.21 tff(27356,assumption,(~until2p7(s50)), introduced(assumption)).
% 8.41/6.21 tff(27357,assumption,(trans(s349, s50)), introduced(assumption)).
% 8.41/6.21 tff(27358,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s50) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s50)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27359,plain,
% 8.41/6.21 (((~trans(s349, s50)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s50)) <=> (until2p7(s50) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s50)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27360,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s50)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s50) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s50))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27359])).
% 8.41/6.21 tff(27361,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s50)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s50)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27360, 27358])).
% 8.41/6.21 tff(27362,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s50)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s50))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27363,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s50))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27362, 27361])).
% 8.41/6.21 tff(27364,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27363, 22690, 27357, 23114, 27356, 24569])).
% 8.41/6.21 tff(27365,plain,((~trans(s349, s50)) | until2p7(s50) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27366,plain,
% 8.41/6.21 (~trans(s349, s50)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27365, 25855, 22676])).
% 8.41/6.21 tff(27367,assumption,(~until2p7(s158)), introduced(assumption)).
% 8.41/6.21 tff(27368,assumption,(trans(s349, s158)), introduced(assumption)).
% 8.41/6.21 tff(27369,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s158) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s158)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s158)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27370,plain,
% 8.41/6.21 (((~trans(s349, s158)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s158)) <=> (until2p7(s158) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s158)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27371,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s158)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s158) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s158))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27370])).
% 8.41/6.21 tff(27372,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s158)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s158)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27371, 27369])).
% 8.41/6.21 tff(27373,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s158)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s158))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27374,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s158))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27373, 27372])).
% 8.41/6.21 tff(27375,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27374, 22690, 27368, 23114, 27367, 24569])).
% 8.41/6.21 tff(27376,plain,((~trans(s349, s158)) | until2p7(s158) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27377,plain,
% 8.41/6.21 (~trans(s349, s158)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27376, 24720, 22676])).
% 8.41/6.21 tff(27378,assumption,(~until2p7(s59)), introduced(assumption)).
% 8.41/6.21 tff(27379,assumption,(trans(s349, s59)), introduced(assumption)).
% 8.41/6.21 tff(27380,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s59) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s59)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27381,plain,
% 8.41/6.21 (((~trans(s349, s59)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s59)) <=> (until2p7(s59) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s59)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27382,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s59)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s59) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s59))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27381])).
% 8.41/6.21 tff(27383,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s59)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s59)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27382, 27380])).
% 8.41/6.21 tff(27384,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s59)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s59))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27385,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s59))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27384, 27383])).
% 8.41/6.21 tff(27386,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27385, 22690, 27379, 23114, 27378, 24569])).
% 8.41/6.21 tff(27387,plain,((~trans(s349, s59)) | until2p7(s59) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27388,plain,
% 8.41/6.21 (~trans(s349, s59)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27387, 25765, 22676])).
% 8.41/6.21 tff(27389,assumption,(~until2p7(s162)), introduced(assumption)).
% 8.41/6.21 tff(27390,assumption,(trans(s349, s162)), introduced(assumption)).
% 8.41/6.21 tff(27391,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s162) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s162)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s162)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27392,plain,
% 8.41/6.21 (((~trans(s349, s162)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s162)) <=> (until2p7(s162) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s162)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27393,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s162)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s162) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s162))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27392])).
% 8.41/6.21 tff(27394,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s162)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s162)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27393, 27391])).
% 8.41/6.21 tff(27395,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s162)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s162))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27396,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s162))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27395, 27394])).
% 8.41/6.21 tff(27397,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27396, 22690, 27390, 23114, 27389, 24569])).
% 8.41/6.21 tff(27398,plain,((~trans(s349, s162)) | until2p7(s162) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27399,plain,
% 8.41/6.21 (~trans(s349, s162)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27398, 24680, 22676])).
% 8.41/6.21 tff(27400,assumption,(~until2p7(s295)), introduced(assumption)).
% 8.41/6.21 tff(27401,assumption,(trans(s349, s295)), introduced(assumption)).
% 8.41/6.21 tff(27402,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s295) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s295)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s295) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s295)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27403,plain,
% 8.41/6.21 (((~trans(s349, s295)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s295)) <=> (until2p7(s295) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s295)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27404,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s295)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s295) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s295))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27403])).
% 8.41/6.21 tff(27405,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s295)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s295) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s295)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27404, 27402])).
% 8.41/6.21 tff(27406,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s295)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s295))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27407,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s295) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s295))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27406, 27405])).
% 8.41/6.21 tff(27408,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27407, 22690, 27401, 23114, 27400, 24569])).
% 8.41/6.21 tff(27409,plain,((~trans(s349, s295)) | until2p7(s295) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27410,plain,
% 8.41/6.21 (~trans(s349, s295)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27409, 23338, 22676])).
% 8.41/6.21 tff(27411,assumption,(~until2p7(s83)), introduced(assumption)).
% 8.41/6.21 tff(27412,assumption,(trans(s349, s83)), introduced(assumption)).
% 8.41/6.21 tff(27413,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s83) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s83)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27414,plain,
% 8.41/6.21 (((~trans(s349, s83)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s83)) <=> (until2p7(s83) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s83)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27415,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s83)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s83) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s83))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27414])).
% 8.41/6.21 tff(27416,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s83)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s83)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27415, 27413])).
% 8.41/6.21 tff(27417,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s83)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s83))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27418,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s83))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27417, 27416])).
% 8.41/6.21 tff(27419,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27418, 22690, 27412, 23114, 27411, 24569])).
% 8.41/6.21 tff(27420,plain,((~trans(s349, s83)) | until2p7(s83) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27421,plain,
% 8.41/6.21 (~trans(s349, s83)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27420, 25514, 22676])).
% 8.41/6.21 tff(27422,assumption,(~until2p7(s38)), introduced(assumption)).
% 8.41/6.21 tff(27423,assumption,(trans(s349, s38)), introduced(assumption)).
% 8.41/6.21 tff(27424,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s38)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27425,plain,
% 8.41/6.21 (((~trans(s349, s38)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s38)) <=> (until2p7(s38) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s38)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27426,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s38)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s38))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27425])).
% 8.41/6.21 tff(27427,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s38)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s38)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27426, 27424])).
% 8.41/6.21 tff(27428,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s38)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s38))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27429,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s38))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27428, 27427])).
% 8.41/6.21 tff(27430,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27429, 22690, 27423, 23114, 27422, 24569])).
% 8.41/6.21 tff(27431,plain,((~trans(s349, s38)) | until2p7(s38) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27432,plain,
% 8.41/6.21 (~trans(s349, s38)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27431, 25975, 22676])).
% 8.41/6.21 tff(27433,assumption,(~until2p7(s286)), introduced(assumption)).
% 8.41/6.21 tff(27434,assumption,(trans(s349, s286)), introduced(assumption)).
% 8.41/6.21 tff(27435,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s286) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s286)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s286) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s286)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27436,plain,
% 8.41/6.21 (((~trans(s349, s286)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s286)) <=> (until2p7(s286) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s286)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27437,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s286)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s286) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s286))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27436])).
% 8.41/6.21 tff(27438,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s286)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s286) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s286)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27437, 27435])).
% 8.41/6.21 tff(27439,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s286)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s286))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27440,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s286) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s286))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27439, 27438])).
% 8.41/6.21 tff(27441,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27440, 22690, 27434, 23114, 27433, 24569])).
% 8.41/6.21 tff(27442,plain,((~trans(s349, s286)) | until2p7(s286) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27443,plain,
% 8.41/6.21 (~trans(s349, s286)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27442, 23428, 22676])).
% 8.41/6.21 tff(27444,assumption,(~until2p7(s55)), introduced(assumption)).
% 8.41/6.21 tff(27445,assumption,(trans(s349, s55)), introduced(assumption)).
% 8.41/6.21 tff(27446,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s55) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s55)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27447,plain,
% 8.41/6.21 (((~trans(s349, s55)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s55)) <=> (until2p7(s55) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s55)))),
% 8.41/6.21 inference(rewrite,[status(thm)],[])).
% 8.41/6.21 tff(27448,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s55)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s55) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s55))))),
% 8.41/6.21 inference(monotonicity,[status(thm)],[27447])).
% 8.41/6.21 tff(27449,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s55)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s55)))),
% 8.41/6.21 inference(transitivity,[status(thm)],[27448, 27446])).
% 8.41/6.21 tff(27450,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s55)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s55))),
% 8.41/6.21 inference(quant_inst,[status(thm)],[])).
% 8.41/6.21 tff(27451,plain,
% 8.41/6.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s55))),
% 8.41/6.21 inference(modus_ponens,[status(thm)],[27450, 27449])).
% 8.41/6.21 tff(27452,plain,
% 8.41/6.21 ($false),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27451, 22690, 27445, 23114, 27444, 24569])).
% 8.41/6.21 tff(27453,plain,((~trans(s349, s55)) | until2p7(s55) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.21 tff(27454,plain,
% 8.41/6.21 (~trans(s349, s55)),
% 8.41/6.21 inference(unit_resolution,[status(thm)],[27453, 25805, 22676])).
% 8.41/6.21 tff(27455,assumption,(~until2p7(s117)), introduced(assumption)).
% 8.41/6.21 tff(27456,assumption,(trans(s349, s117)), introduced(assumption)).
% 8.41/6.21 tff(27457,plain,
% 8.41/6.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s117) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s117)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s117)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27458,plain,
% 8.41/6.22 (((~trans(s349, s117)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s117)) <=> (until2p7(s117) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s117)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27459,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s117)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s117) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s117))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27458])).
% 8.41/6.22 tff(27460,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s117)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s117)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27459, 27457])).
% 8.41/6.22 tff(27461,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s117)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s117))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27462,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s117))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27461, 27460])).
% 8.41/6.22 tff(27463,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27462, 22690, 27456, 23114, 27455, 24569])).
% 8.41/6.22 tff(27464,plain,((~trans(s349, s117)) | until2p7(s117) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27465,plain,
% 8.41/6.22 (~trans(s349, s117)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27464, 25174, 22676])).
% 8.41/6.22 tff(27466,assumption,(~until2p7(s27)), introduced(assumption)).
% 8.41/6.22 tff(27467,assumption,(trans(s349, s27)), introduced(assumption)).
% 8.41/6.22 tff(27468,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s27)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27469,plain,
% 8.41/6.22 (((~trans(s349, s27)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s27)) <=> (until2p7(s27) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s27)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27470,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s27)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s27))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27469])).
% 8.41/6.22 tff(27471,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s27)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s27)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27470, 27468])).
% 8.41/6.22 tff(27472,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s27)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s27))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27473,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s27))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27472, 27471])).
% 8.41/6.22 tff(27474,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27473, 22690, 27467, 23114, 27466, 24569])).
% 8.41/6.22 tff(27475,plain,((~trans(s349, s27)) | until2p7(s27) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27476,plain,
% 8.41/6.22 (~trans(s349, s27)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27475, 26089, 22676])).
% 8.41/6.22 tff(27477,assumption,(~until2p7(s347)), introduced(assumption)).
% 8.41/6.22 tff(27478,assumption,(trans(s349, s347)), introduced(assumption)).
% 8.41/6.22 tff(27479,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s347) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s347)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s347) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s347)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27480,plain,
% 8.41/6.22 (((~trans(s349, s347)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s347)) <=> (until2p7(s347) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s347)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27481,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s347)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s347))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s347) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s347))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27480])).
% 8.41/6.22 tff(27482,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s347)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s347))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s347) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s347)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27481, 27479])).
% 8.41/6.22 tff(27483,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s347)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s347))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27484,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s347) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s347))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27483, 27482])).
% 8.41/6.22 tff(27485,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27484, 22690, 27478, 23114, 27477, 24569])).
% 8.41/6.22 tff(27486,plain,((~trans(s349, s347)) | until2p7(s347) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27487,plain,
% 8.41/6.22 (~trans(s349, s347)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27486, 22744, 22676])).
% 8.41/6.22 tff(27488,assumption,(~until2p7(s300)), introduced(assumption)).
% 8.41/6.22 tff(27489,assumption,(trans(s349, s300)), introduced(assumption)).
% 8.41/6.22 tff(27490,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s300) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s300)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s300) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s300)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27491,plain,
% 8.41/6.22 (((~trans(s349, s300)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s300)) <=> (until2p7(s300) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s300)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27492,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s300)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s300) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s300))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27491])).
% 8.41/6.22 tff(27493,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s300)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s300) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s300)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27492, 27490])).
% 8.41/6.22 tff(27494,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s300)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s300))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27495,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s300) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s300))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27494, 27493])).
% 8.41/6.22 tff(27496,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27495, 22690, 27489, 23114, 27488, 24569])).
% 8.41/6.22 tff(27497,plain,((~trans(s349, s300)) | until2p7(s300) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27498,plain,
% 8.41/6.22 (~trans(s349, s300)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27497, 23288, 22676])).
% 8.41/6.22 tff(27499,assumption,(~until2p7(s260)), introduced(assumption)).
% 8.41/6.22 tff(27500,assumption,(trans(s349, s260)), introduced(assumption)).
% 8.41/6.22 tff(27501,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s260) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s260)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s260) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s260)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27502,plain,
% 8.41/6.22 (((~trans(s349, s260)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s260)) <=> (until2p7(s260) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s260)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27503,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s260)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s260) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s260))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27502])).
% 8.41/6.22 tff(27504,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s260)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s260) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s260)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27503, 27501])).
% 8.41/6.22 tff(27505,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s260)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s260))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27506,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s260) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s260))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27505, 27504])).
% 8.41/6.22 tff(27507,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27506, 22690, 27500, 23114, 27499, 24569])).
% 8.41/6.22 tff(27508,plain,((~trans(s349, s260)) | until2p7(s260) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27509,plain,
% 8.41/6.22 (~trans(s349, s260)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27508, 23688, 22676])).
% 8.41/6.22 tff(27510,assumption,(~until2p7(s174)), introduced(assumption)).
% 8.41/6.22 tff(27511,assumption,(trans(s349, s174)), introduced(assumption)).
% 8.41/6.22 tff(27512,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s174) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s174)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s174)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27513,plain,
% 8.41/6.22 (((~trans(s349, s174)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s174)) <=> (until2p7(s174) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s174)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27514,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s174)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s174) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s174))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27513])).
% 8.41/6.22 tff(27515,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s174)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s174)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27514, 27512])).
% 8.41/6.22 tff(27516,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s174)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s174))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27517,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s174))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27516, 27515])).
% 8.41/6.22 tff(27518,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27517, 22690, 27511, 23114, 27510, 24569])).
% 8.41/6.22 tff(27519,plain,((~trans(s349, s174)) | until2p7(s174) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27520,plain,
% 8.41/6.22 (~trans(s349, s174)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27519, 24548, 22676])).
% 8.41/6.22 tff(27521,assumption,(~until2p7(s294)), introduced(assumption)).
% 8.41/6.22 tff(27522,assumption,(trans(s349, s294)), introduced(assumption)).
% 8.41/6.22 tff(27523,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s294) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s294)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s294) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s294)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27524,plain,
% 8.41/6.22 (((~trans(s349, s294)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s294)) <=> (until2p7(s294) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s294)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27525,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s294)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s294) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s294))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27524])).
% 8.41/6.22 tff(27526,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s294)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s294) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s294)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27525, 27523])).
% 8.41/6.22 tff(27527,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s294)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s294))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27528,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s294) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s294))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27527, 27526])).
% 8.41/6.22 tff(27529,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27528, 22690, 27522, 23114, 27521, 24569])).
% 8.41/6.22 tff(27530,plain,((~trans(s349, s294)) | until2p7(s294) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27531,plain,
% 8.41/6.22 (~trans(s349, s294)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27530, 23348, 22676])).
% 8.41/6.22 tff(27532,assumption,(~until2p7(s186)), introduced(assumption)).
% 8.41/6.22 tff(27533,assumption,(trans(s349, s186)), introduced(assumption)).
% 8.41/6.22 tff(27534,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s186) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s186)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s186)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27535,plain,
% 8.41/6.22 (((~trans(s349, s186)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s186)) <=> (until2p7(s186) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s186)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27536,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s186)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s186) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s186))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27535])).
% 8.41/6.22 tff(27537,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s186)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s186)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27536, 27534])).
% 8.41/6.22 tff(27538,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s186)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s186))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27539,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s186))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27538, 27537])).
% 8.41/6.22 tff(27540,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27539, 22690, 27533, 23114, 27532, 24569])).
% 8.41/6.22 tff(27541,plain,((~trans(s349, s186)) | until2p7(s186) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27542,plain,
% 8.41/6.22 (~trans(s349, s186)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27541, 24428, 22676])).
% 8.41/6.22 tff(27543,assumption,(~until2p7(s192)), introduced(assumption)).
% 8.41/6.22 tff(27544,assumption,(trans(s349, s192)), introduced(assumption)).
% 8.41/6.22 tff(27545,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s192) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s192)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s192)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27546,plain,
% 8.41/6.22 (((~trans(s349, s192)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s192)) <=> (until2p7(s192) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s192)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27547,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s192)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s192) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s192))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27546])).
% 8.41/6.22 tff(27548,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s192)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s192)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27547, 27545])).
% 8.41/6.22 tff(27549,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s192)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s192))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27550,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s192))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27549, 27548])).
% 8.41/6.22 tff(27551,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27550, 22690, 27544, 23114, 27543, 24569])).
% 8.41/6.22 tff(27552,plain,((~trans(s349, s192)) | until2p7(s192) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27553,plain,
% 8.41/6.22 (~trans(s349, s192)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27552, 24368, 22676])).
% 8.41/6.22 tff(27554,assumption,(~until2p7(s56)), introduced(assumption)).
% 8.41/6.22 tff(27555,assumption,(trans(s349, s56)), introduced(assumption)).
% 8.41/6.22 tff(27556,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s56) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s56)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27557,plain,
% 8.41/6.22 (((~trans(s349, s56)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s56)) <=> (until2p7(s56) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s56)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27558,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s56)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s56) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s56))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27557])).
% 8.41/6.22 tff(27559,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s56)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s56)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27558, 27556])).
% 8.41/6.22 tff(27560,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s56)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s56))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27561,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s56))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27560, 27559])).
% 8.41/6.22 tff(27562,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27561, 22690, 27555, 23114, 27554, 24569])).
% 8.41/6.22 tff(27563,plain,((~trans(s349, s56)) | until2p7(s56) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27564,plain,
% 8.41/6.22 (~trans(s349, s56)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27563, 25795, 22676])).
% 8.41/6.22 tff(27565,assumption,(~until2p7(s87)), introduced(assumption)).
% 8.41/6.22 tff(27566,assumption,(trans(s349, s87)), introduced(assumption)).
% 8.41/6.22 tff(27567,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s87) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s87)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27568,plain,
% 8.41/6.22 (((~trans(s349, s87)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s87)) <=> (until2p7(s87) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s87)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27569,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s87)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s87) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s87))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27568])).
% 8.41/6.22 tff(27570,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s87)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s87)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27569, 27567])).
% 8.41/6.22 tff(27571,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s87)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s87))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27572,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s87))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27571, 27570])).
% 8.41/6.22 tff(27573,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27572, 22690, 27566, 23114, 27565, 24569])).
% 8.41/6.22 tff(27574,plain,((~trans(s349, s87)) | until2p7(s87) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27575,plain,
% 8.41/6.22 (~trans(s349, s87)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27574, 25474, 22676])).
% 8.41/6.22 tff(27576,assumption,(~until2p7(s17)), introduced(assumption)).
% 8.41/6.22 tff(27577,assumption,(trans(s349, s17)), introduced(assumption)).
% 8.41/6.22 tff(27578,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s17)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27579,plain,
% 8.41/6.22 (((~trans(s349, s17)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s17)) <=> (until2p7(s17) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s17)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27580,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s17)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s17))))),
% 8.41/6.22 inference(monotonicity,[status(thm)],[27579])).
% 8.41/6.22 tff(27581,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s17)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s17)))),
% 8.41/6.22 inference(transitivity,[status(thm)],[27580, 27578])).
% 8.41/6.22 tff(27582,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s17)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s17))),
% 8.41/6.22 inference(quant_inst,[status(thm)],[])).
% 8.41/6.22 tff(27583,plain,
% 8.41/6.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s17))),
% 8.41/6.22 inference(modus_ponens,[status(thm)],[27582, 27581])).
% 8.41/6.22 tff(27584,plain,
% 8.41/6.22 ($false),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27583, 22690, 27577, 23114, 27576, 24569])).
% 8.41/6.22 tff(27585,plain,((~trans(s349, s17)) | until2p7(s17) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.22 tff(27586,plain,
% 8.41/6.22 (~trans(s349, s17)),
% 8.41/6.22 inference(unit_resolution,[status(thm)],[27585, 26189, 22676])).
% 8.41/6.22 tff(27587,assumption,(~until2p7(s69)), introduced(assumption)).
% 8.41/6.22 tff(27588,assumption,(trans(s349, s69)), introduced(assumption)).
% 8.41/6.22 tff(27589,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s69) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s69)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27590,plain,
% 8.41/6.22 (((~trans(s349, s69)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s69)) <=> (until2p7(s69) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s69)))),
% 8.41/6.22 inference(rewrite,[status(thm)],[])).
% 8.41/6.22 tff(27591,plain,
% 8.41/6.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s69)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s69) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s69))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27590])).
% 8.41/6.23 tff(27592,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s69)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s69)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27591, 27589])).
% 8.41/6.23 tff(27593,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s69)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s69))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27594,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s69))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27593, 27592])).
% 8.41/6.23 tff(27595,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27594, 22690, 27588, 23114, 27587, 24569])).
% 8.41/6.23 tff(27596,plain,((~trans(s349, s69)) | until2p7(s69) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27597,plain,
% 8.41/6.23 (~trans(s349, s69)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27596, 25654, 22676])).
% 8.41/6.23 tff(27598,assumption,(~until2p7(s118)), introduced(assumption)).
% 8.41/6.23 tff(27599,assumption,(trans(s349, s118)), introduced(assumption)).
% 8.41/6.23 tff(27600,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s118) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s118)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s118)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27601,plain,
% 8.41/6.23 (((~trans(s349, s118)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s118)) <=> (until2p7(s118) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s118)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27602,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s118)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s118) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s118))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27601])).
% 8.41/6.23 tff(27603,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s118)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s118)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27602, 27600])).
% 8.41/6.23 tff(27604,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s118)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s118))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27605,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s118))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27604, 27603])).
% 8.41/6.23 tff(27606,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27605, 22690, 27599, 23114, 27598, 24569])).
% 8.41/6.23 tff(27607,plain,((~trans(s349, s118)) | until2p7(s118) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27608,plain,
% 8.41/6.23 (~trans(s349, s118)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27607, 25164, 22676])).
% 8.41/6.23 tff(27609,assumption,(~until2p7(s321)), introduced(assumption)).
% 8.41/6.23 tff(27610,assumption,(trans(s349, s321)), introduced(assumption)).
% 8.41/6.23 tff(27611,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s321) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s321)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s321) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s321)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27612,plain,
% 8.41/6.23 (((~trans(s349, s321)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s321)) <=> (until2p7(s321) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s321)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27613,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s321)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s321) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s321))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27612])).
% 8.41/6.23 tff(27614,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s321)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s321) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s321)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27613, 27611])).
% 8.41/6.23 tff(27615,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s321)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s321))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27616,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s321) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s321))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27615, 27614])).
% 8.41/6.23 tff(27617,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27616, 22690, 27610, 23114, 27609, 24569])).
% 8.41/6.23 tff(27618,plain,((~trans(s349, s321)) | until2p7(s321) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27619,plain,
% 8.41/6.23 (~trans(s349, s321)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27618, 23004, 22676])).
% 8.41/6.23 tff(27620,assumption,(~until2p7(s206)), introduced(assumption)).
% 8.41/6.23 tff(27621,assumption,(trans(s349, s206)), introduced(assumption)).
% 8.41/6.23 tff(27622,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s206) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s206)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s206) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s206)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27623,plain,
% 8.41/6.23 (((~trans(s349, s206)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s206)) <=> (until2p7(s206) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s206)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27624,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s206)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s206) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s206))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27623])).
% 8.41/6.23 tff(27625,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s206)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s206) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s206)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27624, 27622])).
% 8.41/6.23 tff(27626,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s206)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s206))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27627,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s206) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s206))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27626, 27625])).
% 8.41/6.23 tff(27628,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27627, 22690, 27621, 23114, 27620, 24569])).
% 8.41/6.23 tff(27629,plain,((~trans(s349, s206)) | until2p7(s206) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27630,plain,
% 8.41/6.23 (~trans(s349, s206)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27629, 24228, 22676])).
% 8.41/6.23 tff(27631,assumption,(~until2p7(s97)), introduced(assumption)).
% 8.41/6.23 tff(27632,assumption,(trans(s349, s97)), introduced(assumption)).
% 8.41/6.23 tff(27633,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s97) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s97)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27634,plain,
% 8.41/6.23 (((~trans(s349, s97)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s97)) <=> (until2p7(s97) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s97)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27635,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s97)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s97) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s97))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27634])).
% 8.41/6.23 tff(27636,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s97)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s97)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27635, 27633])).
% 8.41/6.23 tff(27637,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s97)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s97))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27638,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s97))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27637, 27636])).
% 8.41/6.23 tff(27639,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27638, 22690, 27632, 23114, 27631, 24569])).
% 8.41/6.23 tff(27640,plain,((~trans(s349, s97)) | until2p7(s97) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27641,plain,
% 8.41/6.23 (~trans(s349, s97)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27640, 25374, 22676])).
% 8.41/6.23 tff(27642,assumption,(~until2p7(s67)), introduced(assumption)).
% 8.41/6.23 tff(27643,assumption,(trans(s349, s67)), introduced(assumption)).
% 8.41/6.23 tff(27644,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s67) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s67)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27645,plain,
% 8.41/6.23 (((~trans(s349, s67)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s67)) <=> (until2p7(s67) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s67)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27646,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s67)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s67) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s67))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27645])).
% 8.41/6.23 tff(27647,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s67)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s67)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27646, 27644])).
% 8.41/6.23 tff(27648,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s67)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s67))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27649,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s67))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27648, 27647])).
% 8.41/6.23 tff(27650,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27649, 22690, 27643, 23114, 27642, 24569])).
% 8.41/6.23 tff(27651,plain,((~trans(s349, s67)) | until2p7(s67) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27652,plain,
% 8.41/6.23 (~trans(s349, s67)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27651, 25674, 22676])).
% 8.41/6.23 tff(27653,assumption,(~until2p7(s80)), introduced(assumption)).
% 8.41/6.23 tff(27654,assumption,(trans(s349, s80)), introduced(assumption)).
% 8.41/6.23 tff(27655,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s80) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s80)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27656,plain,
% 8.41/6.23 (((~trans(s349, s80)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s80)) <=> (until2p7(s80) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s80)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27657,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s80)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s80) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s80))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27656])).
% 8.41/6.23 tff(27658,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s80)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s80)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27657, 27655])).
% 8.41/6.23 tff(27659,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s80)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s80))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27660,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s80))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27659, 27658])).
% 8.41/6.23 tff(27661,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27660, 22690, 27654, 23114, 27653, 24569])).
% 8.41/6.23 tff(27662,plain,((~trans(s349, s80)) | until2p7(s80) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27663,plain,
% 8.41/6.23 (~trans(s349, s80)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27662, 25544, 22676])).
% 8.41/6.23 tff(27664,assumption,(~until2p7(s100)), introduced(assumption)).
% 8.41/6.23 tff(27665,assumption,(trans(s349, s100)), introduced(assumption)).
% 8.41/6.23 tff(27666,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s100) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s100)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s100)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27667,plain,
% 8.41/6.23 (((~trans(s349, s100)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s100)) <=> (until2p7(s100) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s100)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27668,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s100)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s100) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s100))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27667])).
% 8.41/6.23 tff(27669,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s100)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s100)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27668, 27666])).
% 8.41/6.23 tff(27670,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s100)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s100))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27671,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s100))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27670, 27669])).
% 8.41/6.23 tff(27672,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27671, 22690, 27665, 23114, 27664, 24569])).
% 8.41/6.23 tff(27673,plain,((~trans(s349, s100)) | until2p7(s100) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27674,plain,
% 8.41/6.23 (~trans(s349, s100)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27673, 25344, 22676])).
% 8.41/6.23 tff(27675,assumption,(~until2p7(s147)), introduced(assumption)).
% 8.41/6.23 tff(27676,assumption,(trans(s349, s147)), introduced(assumption)).
% 8.41/6.23 tff(27677,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s147) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s147)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s147)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27678,plain,
% 8.41/6.23 (((~trans(s349, s147)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s147)) <=> (until2p7(s147) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s147)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27679,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s147)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s147) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s147))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27678])).
% 8.41/6.23 tff(27680,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s147)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s147)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27679, 27677])).
% 8.41/6.23 tff(27681,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s147)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s147))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27682,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s147))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27681, 27680])).
% 8.41/6.23 tff(27683,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27682, 22690, 27676, 23114, 27675, 24569])).
% 8.41/6.23 tff(27684,plain,((~trans(s349, s147)) | until2p7(s147) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27685,plain,
% 8.41/6.23 (~trans(s349, s147)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27684, 24830, 22676])).
% 8.41/6.23 tff(27686,assumption,(~until2p7(s244)), introduced(assumption)).
% 8.41/6.23 tff(27687,assumption,(trans(s349, s244)), introduced(assumption)).
% 8.41/6.23 tff(27688,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s244) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s244)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s244) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s244)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27689,plain,
% 8.41/6.23 (((~trans(s349, s244)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s244)) <=> (until2p7(s244) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s244)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27690,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s244)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s244) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s244))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27689])).
% 8.41/6.23 tff(27691,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s244)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s244) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s244)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27690, 27688])).
% 8.41/6.23 tff(27692,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s244)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s244))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27693,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s244) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s244))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27692, 27691])).
% 8.41/6.23 tff(27694,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27693, 22690, 27687, 23114, 27686, 24569])).
% 8.41/6.23 tff(27695,plain,((~trans(s349, s244)) | until2p7(s244) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27696,plain,
% 8.41/6.23 (~trans(s349, s244)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27695, 23848, 22676])).
% 8.41/6.23 tff(27697,assumption,(~until2p7(s204)), introduced(assumption)).
% 8.41/6.23 tff(27698,assumption,(trans(s349, s204)), introduced(assumption)).
% 8.41/6.23 tff(27699,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s204) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s204)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s204) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s204)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27700,plain,
% 8.41/6.23 (((~trans(s349, s204)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s204)) <=> (until2p7(s204) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s204)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27701,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s204)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s204) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s204))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27700])).
% 8.41/6.23 tff(27702,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s204)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s204) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s204)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27701, 27699])).
% 8.41/6.23 tff(27703,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s204)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s204))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27704,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s204) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s204))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27703, 27702])).
% 8.41/6.23 tff(27705,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27704, 22690, 27698, 23114, 27697, 24569])).
% 8.41/6.23 tff(27706,plain,((~trans(s349, s204)) | until2p7(s204) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27707,plain,
% 8.41/6.23 (~trans(s349, s204)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27706, 24248, 22676])).
% 8.41/6.23 tff(27708,assumption,(~until2p7(s144)), introduced(assumption)).
% 8.41/6.23 tff(27709,assumption,(trans(s349, s144)), introduced(assumption)).
% 8.41/6.23 tff(27710,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s144) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s144)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s144)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27711,plain,
% 8.41/6.23 (((~trans(s349, s144)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s144)) <=> (until2p7(s144) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s144)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27712,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s144)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s144) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s144))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27711])).
% 8.41/6.23 tff(27713,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s144)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s144)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27712, 27710])).
% 8.41/6.23 tff(27714,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s144)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s144))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27715,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s144))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27714, 27713])).
% 8.41/6.23 tff(27716,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27715, 22690, 27709, 23114, 27708, 24569])).
% 8.41/6.23 tff(27717,plain,((~trans(s349, s144)) | until2p7(s144) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27718,plain,
% 8.41/6.23 (~trans(s349, s144)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27717, 24860, 22676])).
% 8.41/6.23 tff(27719,assumption,(~until2p7(s106)), introduced(assumption)).
% 8.41/6.23 tff(27720,assumption,(trans(s349, s106)), introduced(assumption)).
% 8.41/6.23 tff(27721,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s106) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s106)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s106)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27722,plain,
% 8.41/6.23 (((~trans(s349, s106)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s106)) <=> (until2p7(s106) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s106)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27723,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s106)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s106) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s106))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27722])).
% 8.41/6.23 tff(27724,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s106)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s106)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27723, 27721])).
% 8.41/6.23 tff(27725,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s106)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s106))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27726,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s106))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27725, 27724])).
% 8.41/6.23 tff(27727,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27726, 22690, 27720, 23114, 27719, 24569])).
% 8.41/6.23 tff(27728,plain,((~trans(s349, s106)) | until2p7(s106) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27729,plain,
% 8.41/6.23 (~trans(s349, s106)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27728, 25284, 22676])).
% 8.41/6.23 tff(27730,assumption,(~until2p7(s86)), introduced(assumption)).
% 8.41/6.23 tff(27731,assumption,(trans(s349, s86)), introduced(assumption)).
% 8.41/6.23 tff(27732,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s86) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s86)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27733,plain,
% 8.41/6.23 (((~trans(s349, s86)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s86)) <=> (until2p7(s86) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s86)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27734,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s86)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s86) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s86))))),
% 8.41/6.23 inference(monotonicity,[status(thm)],[27733])).
% 8.41/6.23 tff(27735,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s86)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s86)))),
% 8.41/6.23 inference(transitivity,[status(thm)],[27734, 27732])).
% 8.41/6.23 tff(27736,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s86)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s86))),
% 8.41/6.23 inference(quant_inst,[status(thm)],[])).
% 8.41/6.23 tff(27737,plain,
% 8.41/6.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s86))),
% 8.41/6.23 inference(modus_ponens,[status(thm)],[27736, 27735])).
% 8.41/6.23 tff(27738,plain,
% 8.41/6.23 ($false),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27737, 22690, 27731, 23114, 27730, 24569])).
% 8.41/6.23 tff(27739,plain,((~trans(s349, s86)) | until2p7(s86) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.23 tff(27740,plain,
% 8.41/6.23 (~trans(s349, s86)),
% 8.41/6.23 inference(unit_resolution,[status(thm)],[27739, 25484, 22676])).
% 8.41/6.23 tff(27741,assumption,(~until2p7(s96)), introduced(assumption)).
% 8.41/6.23 tff(27742,assumption,(trans(s349, s96)), introduced(assumption)).
% 8.41/6.23 tff(27743,plain,
% 8.41/6.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s96) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s96)))),
% 8.41/6.23 inference(rewrite,[status(thm)],[])).
% 8.41/6.23 tff(27744,plain,
% 8.41/6.23 (((~trans(s349, s96)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s96)) <=> (until2p7(s96) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s96)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27745,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s96)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s96) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s96))))),
% 8.41/6.24 inference(monotonicity,[status(thm)],[27744])).
% 8.41/6.24 tff(27746,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s96)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s96)))),
% 8.41/6.24 inference(transitivity,[status(thm)],[27745, 27743])).
% 8.41/6.24 tff(27747,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s96)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s96))),
% 8.41/6.24 inference(quant_inst,[status(thm)],[])).
% 8.41/6.24 tff(27748,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s96))),
% 8.41/6.24 inference(modus_ponens,[status(thm)],[27747, 27746])).
% 8.41/6.24 tff(27749,plain,
% 8.41/6.24 ($false),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27748, 22690, 27742, 23114, 27741, 24569])).
% 8.41/6.24 tff(27750,plain,((~trans(s349, s96)) | until2p7(s96) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.24 tff(27751,plain,
% 8.41/6.24 (~trans(s349, s96)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27750, 25384, 22676])).
% 8.41/6.24 tff(27752,assumption,(~until2p7(s181)), introduced(assumption)).
% 8.41/6.24 tff(27753,assumption,(trans(s349, s181)), introduced(assumption)).
% 8.41/6.24 tff(27754,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s181) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s181)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s181)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27755,plain,
% 8.41/6.24 (((~trans(s349, s181)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s181)) <=> (until2p7(s181) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s181)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27756,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s181)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s181) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s181))))),
% 8.41/6.24 inference(monotonicity,[status(thm)],[27755])).
% 8.41/6.24 tff(27757,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s181)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s181)))),
% 8.41/6.24 inference(transitivity,[status(thm)],[27756, 27754])).
% 8.41/6.24 tff(27758,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s181)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s181))),
% 8.41/6.24 inference(quant_inst,[status(thm)],[])).
% 8.41/6.24 tff(27759,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s181))),
% 8.41/6.24 inference(modus_ponens,[status(thm)],[27758, 27757])).
% 8.41/6.24 tff(27760,plain,
% 8.41/6.24 ($false),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27759, 22690, 27753, 23114, 27752, 24569])).
% 8.41/6.24 tff(27761,plain,((~trans(s349, s181)) | until2p7(s181) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.24 tff(27762,plain,
% 8.41/6.24 (~trans(s349, s181)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27761, 24478, 22676])).
% 8.41/6.24 tff(27763,assumption,(~until2p7(s146)), introduced(assumption)).
% 8.41/6.24 tff(27764,assumption,(trans(s349, s146)), introduced(assumption)).
% 8.41/6.24 tff(27765,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s146) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s146)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s146)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27766,plain,
% 8.41/6.24 (((~trans(s349, s146)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s146)) <=> (until2p7(s146) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s146)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27767,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s146)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s146) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s146))))),
% 8.41/6.24 inference(monotonicity,[status(thm)],[27766])).
% 8.41/6.24 tff(27768,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s146)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s146)))),
% 8.41/6.24 inference(transitivity,[status(thm)],[27767, 27765])).
% 8.41/6.24 tff(27769,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s146)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s146))),
% 8.41/6.24 inference(quant_inst,[status(thm)],[])).
% 8.41/6.24 tff(27770,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s146))),
% 8.41/6.24 inference(modus_ponens,[status(thm)],[27769, 27768])).
% 8.41/6.24 tff(27771,plain,
% 8.41/6.24 ($false),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27770, 22690, 27764, 23114, 27763, 24569])).
% 8.41/6.24 tff(27772,plain,((~trans(s349, s146)) | until2p7(s146) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.24 tff(27773,plain,
% 8.41/6.24 (~trans(s349, s146)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27772, 24840, 22676])).
% 8.41/6.24 tff(27774,assumption,(~until2p7(s24)), introduced(assumption)).
% 8.41/6.24 tff(27775,assumption,(trans(s349, s24)), introduced(assumption)).
% 8.41/6.24 tff(27776,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s24)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27777,plain,
% 8.41/6.24 (((~trans(s349, s24)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s24)) <=> (until2p7(s24) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s24)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27778,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s24)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s24))))),
% 8.41/6.24 inference(monotonicity,[status(thm)],[27777])).
% 8.41/6.24 tff(27779,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s24)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s24)))),
% 8.41/6.24 inference(transitivity,[status(thm)],[27778, 27776])).
% 8.41/6.24 tff(27780,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s24)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s24))),
% 8.41/6.24 inference(quant_inst,[status(thm)],[])).
% 8.41/6.24 tff(27781,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s24))),
% 8.41/6.24 inference(modus_ponens,[status(thm)],[27780, 27779])).
% 8.41/6.24 tff(27782,plain,
% 8.41/6.24 ($false),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27781, 22690, 27775, 23114, 27774, 24569])).
% 8.41/6.24 tff(27783,plain,((~trans(s349, s24)) | until2p7(s24) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.24 tff(27784,plain,
% 8.41/6.24 (~trans(s349, s24)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27783, 26119, 22676])).
% 8.41/6.24 tff(27785,assumption,(~until2p7(s337)), introduced(assumption)).
% 8.41/6.24 tff(27786,assumption,(trans(s349, s337)), introduced(assumption)).
% 8.41/6.24 tff(27787,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s337) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s337)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s337) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s337)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27788,plain,
% 8.41/6.24 (((~trans(s349, s337)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s337)) <=> (until2p7(s337) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s337)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27789,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s337)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s337))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s337) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s337))))),
% 8.41/6.24 inference(monotonicity,[status(thm)],[27788])).
% 8.41/6.24 tff(27790,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s337)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s337))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s337) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s337)))),
% 8.41/6.24 inference(transitivity,[status(thm)],[27789, 27787])).
% 8.41/6.24 tff(27791,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s337)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s337))),
% 8.41/6.24 inference(quant_inst,[status(thm)],[])).
% 8.41/6.24 tff(27792,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s337) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s337))),
% 8.41/6.24 inference(modus_ponens,[status(thm)],[27791, 27790])).
% 8.41/6.24 tff(27793,plain,
% 8.41/6.24 ($false),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27792, 22690, 27786, 23114, 27785, 24569])).
% 8.41/6.24 tff(27794,plain,((~trans(s349, s337)) | until2p7(s337) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.24 tff(27795,plain,
% 8.41/6.24 (~trans(s349, s337)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27794, 22844, 22676])).
% 8.41/6.24 tff(27796,assumption,(~until2p7(s63)), introduced(assumption)).
% 8.41/6.24 tff(27797,assumption,(trans(s349, s63)), introduced(assumption)).
% 8.41/6.24 tff(27798,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s63) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s63)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27799,plain,
% 8.41/6.24 (((~trans(s349, s63)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s63)) <=> (until2p7(s63) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s63)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27800,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s63)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s63) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s63))))),
% 8.41/6.24 inference(monotonicity,[status(thm)],[27799])).
% 8.41/6.24 tff(27801,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s63)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s63)))),
% 8.41/6.24 inference(transitivity,[status(thm)],[27800, 27798])).
% 8.41/6.24 tff(27802,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s63)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s63))),
% 8.41/6.24 inference(quant_inst,[status(thm)],[])).
% 8.41/6.24 tff(27803,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s63))),
% 8.41/6.24 inference(modus_ponens,[status(thm)],[27802, 27801])).
% 8.41/6.24 tff(27804,plain,
% 8.41/6.24 ($false),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27803, 22690, 27797, 23114, 27796, 24569])).
% 8.41/6.24 tff(27805,plain,((~trans(s349, s63)) | until2p7(s63) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.24 tff(27806,plain,
% 8.41/6.24 (~trans(s349, s63)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27805, 25714, 22676])).
% 8.41/6.24 tff(27807,assumption,(~until2p7(s58)), introduced(assumption)).
% 8.41/6.24 tff(27808,assumption,(trans(s349, s58)), introduced(assumption)).
% 8.41/6.24 tff(27809,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s58) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s58)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27810,plain,
% 8.41/6.24 (((~trans(s349, s58)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s58)) <=> (until2p7(s58) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s58)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27811,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s58)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s58) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s58))))),
% 8.41/6.24 inference(monotonicity,[status(thm)],[27810])).
% 8.41/6.24 tff(27812,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s58)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s58)))),
% 8.41/6.24 inference(transitivity,[status(thm)],[27811, 27809])).
% 8.41/6.24 tff(27813,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s58)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s58))),
% 8.41/6.24 inference(quant_inst,[status(thm)],[])).
% 8.41/6.24 tff(27814,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s58))),
% 8.41/6.24 inference(modus_ponens,[status(thm)],[27813, 27812])).
% 8.41/6.24 tff(27815,plain,
% 8.41/6.24 ($false),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27814, 22690, 27808, 23114, 27807, 24569])).
% 8.41/6.24 tff(27816,plain,((~trans(s349, s58)) | until2p7(s58) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.24 tff(27817,plain,
% 8.41/6.24 (~trans(s349, s58)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27816, 25775, 22676])).
% 8.41/6.24 tff(27818,assumption,(~until2p7(s116)), introduced(assumption)).
% 8.41/6.24 tff(27819,assumption,(trans(s349, s116)), introduced(assumption)).
% 8.41/6.24 tff(27820,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s116) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s116)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s116)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27821,plain,
% 8.41/6.24 (((~trans(s349, s116)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s116)) <=> (until2p7(s116) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s116)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27822,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s116)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s116) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s116))))),
% 8.41/6.24 inference(monotonicity,[status(thm)],[27821])).
% 8.41/6.24 tff(27823,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s116)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s116)))),
% 8.41/6.24 inference(transitivity,[status(thm)],[27822, 27820])).
% 8.41/6.24 tff(27824,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s116)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s116))),
% 8.41/6.24 inference(quant_inst,[status(thm)],[])).
% 8.41/6.24 tff(27825,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s116))),
% 8.41/6.24 inference(modus_ponens,[status(thm)],[27824, 27823])).
% 8.41/6.24 tff(27826,plain,
% 8.41/6.24 ($false),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27825, 22690, 27819, 23114, 27818, 24569])).
% 8.41/6.24 tff(27827,plain,((~trans(s349, s116)) | until2p7(s116) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.24 tff(27828,plain,
% 8.41/6.24 (~trans(s349, s116)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27827, 25184, 22676])).
% 8.41/6.24 tff(27829,assumption,(~until2p7(s72)), introduced(assumption)).
% 8.41/6.24 tff(27830,assumption,(trans(s349, s72)), introduced(assumption)).
% 8.41/6.24 tff(27831,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s72) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s72)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27832,plain,
% 8.41/6.24 (((~trans(s349, s72)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s72)) <=> (until2p7(s72) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s72)))),
% 8.41/6.24 inference(rewrite,[status(thm)],[])).
% 8.41/6.24 tff(27833,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s72)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s72) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s72))))),
% 8.41/6.24 inference(monotonicity,[status(thm)],[27832])).
% 8.41/6.24 tff(27834,plain,
% 8.41/6.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s72)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s72)))),
% 8.41/6.24 inference(transitivity,[status(thm)],[27833, 27831])).
% 8.41/6.24 tff(27835,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s72)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s72))),
% 8.41/6.24 inference(quant_inst,[status(thm)],[])).
% 8.41/6.24 tff(27836,plain,
% 8.41/6.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s72))),
% 8.41/6.24 inference(modus_ponens,[status(thm)],[27835, 27834])).
% 8.41/6.24 tff(27837,plain,
% 8.41/6.24 ($false),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27836, 22690, 27830, 23114, 27829, 24569])).
% 8.41/6.24 tff(27838,plain,((~trans(s349, s72)) | until2p7(s72) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.24 tff(27839,plain,
% 8.41/6.24 (~trans(s349, s72)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27838, 25624, 22676])).
% 8.41/6.24 tff(27840,assumption,(~until2p7(s349)), introduced(assumption)).
% 8.41/6.24 tff(27841,plain,
% 8.41/6.24 (~xuntil2p8(s348)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22723, 27840])).
% 8.41/6.24 tff(27842,assumption,(~node4(s348)), introduced(assumption)).
% 8.41/6.24 tff(27843,plain,
% 8.41/6.24 (xuntil2p8(s348) | (~until2p7(s348))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22732, 22704, 27842])).
% 8.41/6.24 tff(27844,plain,
% 8.41/6.24 (~until2p7(s348)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27843, 27841])).
% 8.41/6.24 tff(27845,plain,
% 8.41/6.24 (~xuntil2p8(s347)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22738, 27844])).
% 8.41/6.24 tff(27846,assumption,(~node4(s347)), introduced(assumption)).
% 8.41/6.24 tff(27847,plain,
% 8.41/6.24 (xuntil2p8(s347) | (~until2p7(s347))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22742, 22704, 27846])).
% 8.41/6.24 tff(27848,plain,
% 8.41/6.24 (~until2p7(s347)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27847, 27845])).
% 8.41/6.24 tff(27849,plain,
% 8.41/6.24 (~xuntil2p8(s346)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22748, 27848])).
% 8.41/6.24 tff(27850,assumption,(~node4(s346)), introduced(assumption)).
% 8.41/6.24 tff(27851,plain,
% 8.41/6.24 (xuntil2p8(s346) | (~until2p7(s346))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22752, 22704, 27850])).
% 8.41/6.24 tff(27852,plain,
% 8.41/6.24 (~until2p7(s346)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27851, 27849])).
% 8.41/6.24 tff(27853,plain,
% 8.41/6.24 (~xuntil2p8(s345)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22758, 27852])).
% 8.41/6.24 tff(27854,assumption,(~node4(s345)), introduced(assumption)).
% 8.41/6.24 tff(27855,plain,
% 8.41/6.24 (xuntil2p8(s345) | (~until2p7(s345))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22762, 22704, 27854])).
% 8.41/6.24 tff(27856,plain,
% 8.41/6.24 (~until2p7(s345)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27855, 27853])).
% 8.41/6.24 tff(27857,plain,
% 8.41/6.24 (~xuntil2p8(s344)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22768, 27856])).
% 8.41/6.24 tff(27858,assumption,(~node4(s344)), introduced(assumption)).
% 8.41/6.24 tff(27859,plain,
% 8.41/6.24 (xuntil2p8(s344) | (~until2p7(s344))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22772, 22704, 27858])).
% 8.41/6.24 tff(27860,plain,
% 8.41/6.24 (~until2p7(s344)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27859, 27857])).
% 8.41/6.24 tff(27861,plain,
% 8.41/6.24 (~xuntil2p8(s343)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22778, 27860])).
% 8.41/6.24 tff(27862,assumption,(~node4(s343)), introduced(assumption)).
% 8.41/6.24 tff(27863,plain,
% 8.41/6.24 (xuntil2p8(s343) | (~until2p7(s343))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22782, 22704, 27862])).
% 8.41/6.24 tff(27864,plain,
% 8.41/6.24 (~until2p7(s343)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27863, 27861])).
% 8.41/6.24 tff(27865,plain,
% 8.41/6.24 (~xuntil2p8(s342)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22788, 27864])).
% 8.41/6.24 tff(27866,assumption,(~node4(s342)), introduced(assumption)).
% 8.41/6.24 tff(27867,plain,
% 8.41/6.24 (xuntil2p8(s342) | (~until2p7(s342))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22792, 22704, 27866])).
% 8.41/6.24 tff(27868,plain,
% 8.41/6.24 (~until2p7(s342)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27867, 27865])).
% 8.41/6.24 tff(27869,plain,
% 8.41/6.24 (~xuntil2p8(s341)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22798, 27868])).
% 8.41/6.24 tff(27870,assumption,(~node4(s341)), introduced(assumption)).
% 8.41/6.24 tff(27871,plain,
% 8.41/6.24 (xuntil2p8(s341) | (~until2p7(s341))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22802, 22704, 27870])).
% 8.41/6.24 tff(27872,plain,
% 8.41/6.24 (~until2p7(s341)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27871, 27869])).
% 8.41/6.24 tff(27873,plain,
% 8.41/6.24 (~xuntil2p8(s340)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22808, 27872])).
% 8.41/6.24 tff(27874,assumption,(~node4(s340)), introduced(assumption)).
% 8.41/6.24 tff(27875,plain,
% 8.41/6.24 (xuntil2p8(s340) | (~until2p7(s340))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22812, 22704, 27874])).
% 8.41/6.24 tff(27876,plain,
% 8.41/6.24 (~until2p7(s340)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27875, 27873])).
% 8.41/6.24 tff(27877,plain,
% 8.41/6.24 (~xuntil2p8(s339)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22818, 27876])).
% 8.41/6.24 tff(27878,assumption,(~node4(s339)), introduced(assumption)).
% 8.41/6.24 tff(27879,plain,
% 8.41/6.24 (xuntil2p8(s339) | (~until2p7(s339))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22822, 22704, 27878])).
% 8.41/6.24 tff(27880,plain,
% 8.41/6.24 (~until2p7(s339)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27879, 27877])).
% 8.41/6.24 tff(27881,plain,
% 8.41/6.24 (~xuntil2p8(s338)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22828, 27880])).
% 8.41/6.24 tff(27882,assumption,(~node4(s338)), introduced(assumption)).
% 8.41/6.24 tff(27883,plain,
% 8.41/6.24 (xuntil2p8(s338) | (~until2p7(s338))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22832, 22704, 27882])).
% 8.41/6.24 tff(27884,plain,
% 8.41/6.24 (~until2p7(s338)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27883, 27881])).
% 8.41/6.24 tff(27885,plain,
% 8.41/6.24 (~xuntil2p8(s337)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22838, 27884])).
% 8.41/6.24 tff(27886,assumption,(~node4(s337)), introduced(assumption)).
% 8.41/6.24 tff(27887,plain,
% 8.41/6.24 (xuntil2p8(s337) | (~until2p7(s337))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22842, 22704, 27886])).
% 8.41/6.24 tff(27888,plain,
% 8.41/6.24 (~until2p7(s337)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27887, 27885])).
% 8.41/6.24 tff(27889,plain,
% 8.41/6.24 (~xuntil2p8(s336)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22848, 27888])).
% 8.41/6.24 tff(27890,assumption,(~node4(s336)), introduced(assumption)).
% 8.41/6.24 tff(27891,plain,
% 8.41/6.24 (xuntil2p8(s336) | (~until2p7(s336))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22852, 22704, 27890])).
% 8.41/6.24 tff(27892,plain,
% 8.41/6.24 (~until2p7(s336)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27891, 27889])).
% 8.41/6.24 tff(27893,plain,
% 8.41/6.24 (~xuntil2p8(s335)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22858, 27892])).
% 8.41/6.24 tff(27894,assumption,(~node4(s335)), introduced(assumption)).
% 8.41/6.24 tff(27895,plain,
% 8.41/6.24 (xuntil2p8(s335) | (~until2p7(s335))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22862, 22704, 27894])).
% 8.41/6.24 tff(27896,plain,
% 8.41/6.24 (~until2p7(s335)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27895, 27893])).
% 8.41/6.24 tff(27897,plain,
% 8.41/6.24 (~xuntil2p8(s334)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22868, 27896])).
% 8.41/6.24 tff(27898,assumption,(~node4(s334)), introduced(assumption)).
% 8.41/6.24 tff(27899,plain,
% 8.41/6.24 (xuntil2p8(s334) | (~until2p7(s334))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22872, 22704, 27898])).
% 8.41/6.24 tff(27900,plain,
% 8.41/6.24 (~until2p7(s334)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27899, 27897])).
% 8.41/6.24 tff(27901,plain,
% 8.41/6.24 (~xuntil2p8(s333)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22878, 27900])).
% 8.41/6.24 tff(27902,assumption,(~node4(s333)), introduced(assumption)).
% 8.41/6.24 tff(27903,plain,
% 8.41/6.24 (xuntil2p8(s333) | (~until2p7(s333))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22882, 22704, 27902])).
% 8.41/6.24 tff(27904,plain,
% 8.41/6.24 (~until2p7(s333)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27903, 27901])).
% 8.41/6.24 tff(27905,plain,
% 8.41/6.24 (~xuntil2p8(s332)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22888, 27904])).
% 8.41/6.24 tff(27906,assumption,(~node4(s332)), introduced(assumption)).
% 8.41/6.24 tff(27907,plain,
% 8.41/6.24 (xuntil2p8(s332) | (~until2p7(s332))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22892, 22704, 27906])).
% 8.41/6.24 tff(27908,plain,
% 8.41/6.24 (~until2p7(s332)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27907, 27905])).
% 8.41/6.24 tff(27909,plain,
% 8.41/6.24 (~xuntil2p8(s331)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22898, 27908])).
% 8.41/6.24 tff(27910,assumption,(~node4(s331)), introduced(assumption)).
% 8.41/6.24 tff(27911,plain,
% 8.41/6.24 (xuntil2p8(s331) | (~until2p7(s331))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22902, 22704, 27910])).
% 8.41/6.24 tff(27912,plain,
% 8.41/6.24 (~until2p7(s331)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27911, 27909])).
% 8.41/6.24 tff(27913,plain,
% 8.41/6.24 (~xuntil2p8(s330)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22908, 27912])).
% 8.41/6.24 tff(27914,assumption,(~node4(s330)), introduced(assumption)).
% 8.41/6.24 tff(27915,plain,
% 8.41/6.24 (xuntil2p8(s330) | (~until2p7(s330))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22912, 22704, 27914])).
% 8.41/6.24 tff(27916,plain,
% 8.41/6.24 (~until2p7(s330)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27915, 27913])).
% 8.41/6.24 tff(27917,plain,
% 8.41/6.24 (~xuntil2p8(s329)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22918, 27916])).
% 8.41/6.24 tff(27918,assumption,(~node4(s329)), introduced(assumption)).
% 8.41/6.24 tff(27919,plain,
% 8.41/6.24 (xuntil2p8(s329) | (~until2p7(s329))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22922, 22704, 27918])).
% 8.41/6.24 tff(27920,plain,
% 8.41/6.24 (~until2p7(s329)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27919, 27917])).
% 8.41/6.24 tff(27921,plain,
% 8.41/6.24 (~xuntil2p8(s328)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22928, 27920])).
% 8.41/6.24 tff(27922,assumption,(~node4(s328)), introduced(assumption)).
% 8.41/6.24 tff(27923,plain,
% 8.41/6.24 (xuntil2p8(s328) | (~until2p7(s328))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22932, 22704, 27922])).
% 8.41/6.24 tff(27924,plain,
% 8.41/6.24 (~until2p7(s328)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27923, 27921])).
% 8.41/6.24 tff(27925,plain,
% 8.41/6.24 (~xuntil2p8(s327)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22938, 27924])).
% 8.41/6.24 tff(27926,assumption,(~node4(s327)), introduced(assumption)).
% 8.41/6.24 tff(27927,plain,
% 8.41/6.24 (xuntil2p8(s327) | (~until2p7(s327))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22942, 22704, 27926])).
% 8.41/6.24 tff(27928,plain,
% 8.41/6.24 (~until2p7(s327)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27927, 27925])).
% 8.41/6.24 tff(27929,plain,
% 8.41/6.24 (~xuntil2p8(s326)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22948, 27928])).
% 8.41/6.24 tff(27930,assumption,(~node4(s326)), introduced(assumption)).
% 8.41/6.24 tff(27931,plain,
% 8.41/6.24 (xuntil2p8(s326) | (~until2p7(s326))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22952, 22704, 27930])).
% 8.41/6.24 tff(27932,plain,
% 8.41/6.24 (~until2p7(s326)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27931, 27929])).
% 8.41/6.24 tff(27933,plain,
% 8.41/6.24 (~xuntil2p8(s325)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22958, 27932])).
% 8.41/6.24 tff(27934,assumption,(~node4(s325)), introduced(assumption)).
% 8.41/6.24 tff(27935,plain,
% 8.41/6.24 (xuntil2p8(s325) | (~until2p7(s325))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22962, 22704, 27934])).
% 8.41/6.24 tff(27936,plain,
% 8.41/6.24 (~until2p7(s325)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27935, 27933])).
% 8.41/6.24 tff(27937,plain,
% 8.41/6.24 (~xuntil2p8(s324)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22968, 27936])).
% 8.41/6.24 tff(27938,assumption,(~node4(s324)), introduced(assumption)).
% 8.41/6.24 tff(27939,plain,
% 8.41/6.24 (xuntil2p8(s324) | (~until2p7(s324))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22972, 22704, 27938])).
% 8.41/6.24 tff(27940,plain,
% 8.41/6.24 (~until2p7(s324)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27939, 27937])).
% 8.41/6.24 tff(27941,plain,
% 8.41/6.24 (~xuntil2p8(s323)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22978, 27940])).
% 8.41/6.24 tff(27942,assumption,(~node4(s323)), introduced(assumption)).
% 8.41/6.24 tff(27943,plain,
% 8.41/6.24 (xuntil2p8(s323) | (~until2p7(s323))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22982, 22704, 27942])).
% 8.41/6.24 tff(27944,plain,
% 8.41/6.24 (~until2p7(s323)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27943, 27941])).
% 8.41/6.24 tff(27945,plain,
% 8.41/6.24 (~xuntil2p8(s322)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22988, 27944])).
% 8.41/6.24 tff(27946,assumption,(~node4(s322)), introduced(assumption)).
% 8.41/6.24 tff(27947,plain,
% 8.41/6.24 (xuntil2p8(s322) | (~until2p7(s322))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22992, 22704, 27946])).
% 8.41/6.24 tff(27948,plain,
% 8.41/6.24 (~until2p7(s322)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27947, 27945])).
% 8.41/6.24 tff(27949,plain,
% 8.41/6.24 (~xuntil2p8(s321)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[22998, 27948])).
% 8.41/6.24 tff(27950,assumption,(~node4(s321)), introduced(assumption)).
% 8.41/6.24 tff(27951,plain,
% 8.41/6.24 (xuntil2p8(s321) | (~until2p7(s321))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23002, 22704, 27950])).
% 8.41/6.24 tff(27952,plain,
% 8.41/6.24 (~until2p7(s321)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27951, 27949])).
% 8.41/6.24 tff(27953,plain,
% 8.41/6.24 (~xuntil2p8(s320)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23008, 27952])).
% 8.41/6.24 tff(27954,assumption,(~node4(s320)), introduced(assumption)).
% 8.41/6.24 tff(27955,plain,
% 8.41/6.24 (xuntil2p8(s320) | (~until2p7(s320))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23012, 22704, 27954])).
% 8.41/6.24 tff(27956,plain,
% 8.41/6.24 (~until2p7(s320)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27955, 27953])).
% 8.41/6.24 tff(27957,plain,
% 8.41/6.24 (~xuntil2p8(s319)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23018, 27956])).
% 8.41/6.24 tff(27958,assumption,(~node4(s319)), introduced(assumption)).
% 8.41/6.24 tff(27959,plain,
% 8.41/6.24 (xuntil2p8(s319) | (~until2p7(s319))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23022, 22704, 27958])).
% 8.41/6.24 tff(27960,plain,
% 8.41/6.24 (~until2p7(s319)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27959, 27957])).
% 8.41/6.24 tff(27961,plain,
% 8.41/6.24 (~xuntil2p8(s318)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23028, 27960])).
% 8.41/6.24 tff(27962,assumption,(~node4(s318)), introduced(assumption)).
% 8.41/6.24 tff(27963,plain,
% 8.41/6.24 (xuntil2p8(s318) | (~until2p7(s318))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23032, 22704, 27962])).
% 8.41/6.24 tff(27964,plain,
% 8.41/6.24 (~until2p7(s318)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27963, 27961])).
% 8.41/6.24 tff(27965,plain,
% 8.41/6.24 (~xuntil2p8(s317)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23038, 27964])).
% 8.41/6.24 tff(27966,assumption,(~node4(s317)), introduced(assumption)).
% 8.41/6.24 tff(27967,plain,
% 8.41/6.24 (xuntil2p8(s317) | (~until2p7(s317))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23042, 22704, 27966])).
% 8.41/6.24 tff(27968,plain,
% 8.41/6.24 (~until2p7(s317)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27967, 27965])).
% 8.41/6.24 tff(27969,plain,
% 8.41/6.24 (~xuntil2p8(s316)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23048, 27968])).
% 8.41/6.24 tff(27970,assumption,(~node4(s316)), introduced(assumption)).
% 8.41/6.24 tff(27971,plain,
% 8.41/6.24 (xuntil2p8(s316) | (~until2p7(s316))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23052, 22704, 27970])).
% 8.41/6.24 tff(27972,plain,
% 8.41/6.24 (~until2p7(s316)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27971, 27969])).
% 8.41/6.24 tff(27973,plain,
% 8.41/6.24 (~xuntil2p8(s315)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23058, 27972])).
% 8.41/6.24 tff(27974,assumption,(~node4(s315)), introduced(assumption)).
% 8.41/6.24 tff(27975,plain,
% 8.41/6.24 (xuntil2p8(s315) | (~until2p7(s315))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23062, 22704, 27974])).
% 8.41/6.24 tff(27976,plain,
% 8.41/6.24 (~until2p7(s315)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27975, 27973])).
% 8.41/6.24 tff(27977,plain,
% 8.41/6.24 (~xuntil2p8(s314)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23068, 27976])).
% 8.41/6.24 tff(27978,assumption,(~node4(s314)), introduced(assumption)).
% 8.41/6.24 tff(27979,plain,
% 8.41/6.24 (xuntil2p8(s314) | (~until2p7(s314))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23072, 22704, 27978])).
% 8.41/6.24 tff(27980,plain,
% 8.41/6.24 (~until2p7(s314)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27979, 27977])).
% 8.41/6.24 tff(27981,plain,
% 8.41/6.24 (~xuntil2p8(s313)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23078, 27980])).
% 8.41/6.24 tff(27982,assumption,(~node4(s313)), introduced(assumption)).
% 8.41/6.24 tff(27983,plain,
% 8.41/6.24 (xuntil2p8(s313) | (~until2p7(s313))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23082, 22704, 27982])).
% 8.41/6.24 tff(27984,plain,
% 8.41/6.24 (~until2p7(s313)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27983, 27981])).
% 8.41/6.24 tff(27985,plain,
% 8.41/6.24 (~xuntil2p8(s312)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23088, 27984])).
% 8.41/6.24 tff(27986,assumption,(~node4(s312)), introduced(assumption)).
% 8.41/6.24 tff(27987,plain,
% 8.41/6.24 (xuntil2p8(s312) | (~until2p7(s312))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23092, 22704, 27986])).
% 8.41/6.24 tff(27988,plain,
% 8.41/6.24 (~until2p7(s312)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27987, 27985])).
% 8.41/6.24 tff(27989,plain,
% 8.41/6.24 (~xuntil2p8(s311)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23098, 27988])).
% 8.41/6.24 tff(27990,assumption,(~node4(s311)), introduced(assumption)).
% 8.41/6.24 tff(27991,plain,
% 8.41/6.24 (xuntil2p8(s311) | (~until2p7(s311))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23102, 22704, 27990])).
% 8.41/6.24 tff(27992,plain,
% 8.41/6.24 (~until2p7(s311)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27991, 27989])).
% 8.41/6.24 tff(27993,plain,
% 8.41/6.24 (~xuntil2p8(s310)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23182, 27992])).
% 8.41/6.24 tff(27994,assumption,(~node4(s310)), introduced(assumption)).
% 8.41/6.24 tff(27995,plain,
% 8.41/6.24 (xuntil2p8(s310) | (~until2p7(s310))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23186, 22704, 27994])).
% 8.41/6.24 tff(27996,plain,
% 8.41/6.24 (~until2p7(s310)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27995, 27993])).
% 8.41/6.24 tff(27997,plain,
% 8.41/6.24 (~xuntil2p8(s309)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23192, 27996])).
% 8.41/6.24 tff(27998,assumption,(~node4(s309)), introduced(assumption)).
% 8.41/6.24 tff(27999,plain,
% 8.41/6.24 (xuntil2p8(s309) | (~until2p7(s309))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23196, 22704, 27998])).
% 8.41/6.24 tff(28000,plain,
% 8.41/6.24 (~until2p7(s309)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[27999, 27997])).
% 8.41/6.24 tff(28001,plain,
% 8.41/6.24 (~xuntil2p8(s308)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23202, 28000])).
% 8.41/6.24 tff(28002,assumption,(~node4(s308)), introduced(assumption)).
% 8.41/6.24 tff(28003,plain,
% 8.41/6.24 (xuntil2p8(s308) | (~until2p7(s308))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23206, 22704, 28002])).
% 8.41/6.24 tff(28004,plain,
% 8.41/6.24 (~until2p7(s308)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[28003, 28001])).
% 8.41/6.24 tff(28005,plain,
% 8.41/6.24 (~xuntil2p8(s307)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23212, 28004])).
% 8.41/6.24 tff(28006,assumption,(~node4(s307)), introduced(assumption)).
% 8.41/6.24 tff(28007,plain,
% 8.41/6.24 (xuntil2p8(s307) | (~until2p7(s307))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23216, 22704, 28006])).
% 8.41/6.24 tff(28008,plain,
% 8.41/6.24 (~until2p7(s307)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[28007, 28005])).
% 8.41/6.24 tff(28009,plain,
% 8.41/6.24 (~xuntil2p8(s306)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23222, 28008])).
% 8.41/6.24 tff(28010,assumption,(~node4(s306)), introduced(assumption)).
% 8.41/6.24 tff(28011,plain,
% 8.41/6.24 (xuntil2p8(s306) | (~until2p7(s306))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23226, 22704, 28010])).
% 8.41/6.24 tff(28012,plain,
% 8.41/6.24 (~until2p7(s306)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[28011, 28009])).
% 8.41/6.24 tff(28013,plain,
% 8.41/6.24 (~xuntil2p8(s305)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23232, 28012])).
% 8.41/6.24 tff(28014,assumption,(~node4(s305)), introduced(assumption)).
% 8.41/6.24 tff(28015,plain,
% 8.41/6.24 (xuntil2p8(s305) | (~until2p7(s305))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23236, 22704, 28014])).
% 8.41/6.24 tff(28016,plain,
% 8.41/6.24 (~until2p7(s305)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[28015, 28013])).
% 8.41/6.24 tff(28017,plain,
% 8.41/6.24 (~xuntil2p8(s304)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23242, 28016])).
% 8.41/6.24 tff(28018,assumption,(~node4(s304)), introduced(assumption)).
% 8.41/6.24 tff(28019,plain,
% 8.41/6.24 (xuntil2p8(s304) | (~until2p7(s304))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23246, 22704, 28018])).
% 8.41/6.24 tff(28020,plain,
% 8.41/6.24 (~until2p7(s304)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[28019, 28017])).
% 8.41/6.24 tff(28021,plain,
% 8.41/6.24 (~xuntil2p8(s303)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23252, 28020])).
% 8.41/6.24 tff(28022,assumption,(~node4(s303)), introduced(assumption)).
% 8.41/6.24 tff(28023,plain,
% 8.41/6.24 (xuntil2p8(s303) | (~until2p7(s303))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23256, 22704, 28022])).
% 8.41/6.24 tff(28024,plain,
% 8.41/6.24 (~until2p7(s303)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[28023, 28021])).
% 8.41/6.24 tff(28025,plain,
% 8.41/6.24 (~xuntil2p8(s302)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23262, 28024])).
% 8.41/6.24 tff(28026,assumption,(~node4(s302)), introduced(assumption)).
% 8.41/6.24 tff(28027,plain,
% 8.41/6.24 (xuntil2p8(s302) | (~until2p7(s302))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23266, 22704, 28026])).
% 8.41/6.24 tff(28028,plain,
% 8.41/6.24 (~until2p7(s302)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[28027, 28025])).
% 8.41/6.24 tff(28029,plain,
% 8.41/6.24 (~xuntil2p8(s301)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23272, 28028])).
% 8.41/6.24 tff(28030,assumption,(~node4(s301)), introduced(assumption)).
% 8.41/6.24 tff(28031,plain,
% 8.41/6.24 (xuntil2p8(s301) | (~until2p7(s301))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23276, 22704, 28030])).
% 8.41/6.24 tff(28032,plain,
% 8.41/6.24 (~until2p7(s301)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[28031, 28029])).
% 8.41/6.24 tff(28033,plain,
% 8.41/6.24 (~xuntil2p8(s300)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23282, 28032])).
% 8.41/6.24 tff(28034,assumption,(~node4(s300)), introduced(assumption)).
% 8.41/6.24 tff(28035,plain,
% 8.41/6.24 (xuntil2p8(s300) | (~until2p7(s300))),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[23286, 22704, 28034])).
% 8.41/6.24 tff(28036,plain,
% 8.41/6.24 (~until2p7(s300)),
% 8.41/6.24 inference(unit_resolution,[status(thm)],[28035, 28033])).
% 8.41/6.24 tff(28037,plain,
% 8.41/6.24 (~xuntil2p8(s299)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23292, 28036])).
% 8.41/6.25 tff(28038,assumption,(~node4(s299)), introduced(assumption)).
% 8.41/6.25 tff(28039,plain,
% 8.41/6.25 (xuntil2p8(s299) | (~until2p7(s299))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23296, 22704, 28038])).
% 8.41/6.25 tff(28040,plain,
% 8.41/6.25 (~until2p7(s299)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28039, 28037])).
% 8.41/6.25 tff(28041,plain,
% 8.41/6.25 (~xuntil2p8(s298)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23302, 28040])).
% 8.41/6.25 tff(28042,assumption,(~node4(s298)), introduced(assumption)).
% 8.41/6.25 tff(28043,plain,
% 8.41/6.25 (xuntil2p8(s298) | (~until2p7(s298))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23306, 22704, 28042])).
% 8.41/6.25 tff(28044,plain,
% 8.41/6.25 (~until2p7(s298)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28043, 28041])).
% 8.41/6.25 tff(28045,plain,
% 8.41/6.25 (~xuntil2p8(s297)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23312, 28044])).
% 8.41/6.25 tff(28046,assumption,(~node4(s297)), introduced(assumption)).
% 8.41/6.25 tff(28047,plain,
% 8.41/6.25 (xuntil2p8(s297) | (~until2p7(s297))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23316, 22704, 28046])).
% 8.41/6.25 tff(28048,plain,
% 8.41/6.25 (~until2p7(s297)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28047, 28045])).
% 8.41/6.25 tff(28049,plain,
% 8.41/6.25 (~xuntil2p8(s296)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23322, 28048])).
% 8.41/6.25 tff(28050,assumption,(~node4(s296)), introduced(assumption)).
% 8.41/6.25 tff(28051,plain,
% 8.41/6.25 (xuntil2p8(s296) | (~until2p7(s296))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23326, 22704, 28050])).
% 8.41/6.25 tff(28052,plain,
% 8.41/6.25 (~until2p7(s296)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28051, 28049])).
% 8.41/6.25 tff(28053,plain,
% 8.41/6.25 (~xuntil2p8(s295)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23332, 28052])).
% 8.41/6.25 tff(28054,assumption,(~node4(s295)), introduced(assumption)).
% 8.41/6.25 tff(28055,plain,
% 8.41/6.25 (xuntil2p8(s295) | (~until2p7(s295))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23336, 22704, 28054])).
% 8.41/6.25 tff(28056,plain,
% 8.41/6.25 (~until2p7(s295)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28055, 28053])).
% 8.41/6.25 tff(28057,plain,
% 8.41/6.25 (~xuntil2p8(s294)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23342, 28056])).
% 8.41/6.25 tff(28058,assumption,(~node4(s294)), introduced(assumption)).
% 8.41/6.25 tff(28059,plain,
% 8.41/6.25 (xuntil2p8(s294) | (~until2p7(s294))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23346, 22704, 28058])).
% 8.41/6.25 tff(28060,plain,
% 8.41/6.25 (~until2p7(s294)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28059, 28057])).
% 8.41/6.25 tff(28061,plain,
% 8.41/6.25 (~xuntil2p8(s293)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23352, 28060])).
% 8.41/6.25 tff(28062,assumption,(~node4(s293)), introduced(assumption)).
% 8.41/6.25 tff(28063,plain,
% 8.41/6.25 (xuntil2p8(s293) | (~until2p7(s293))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23356, 22704, 28062])).
% 8.41/6.25 tff(28064,plain,
% 8.41/6.25 (~until2p7(s293)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28063, 28061])).
% 8.41/6.25 tff(28065,plain,
% 8.41/6.25 (~xuntil2p8(s292)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23362, 28064])).
% 8.41/6.25 tff(28066,assumption,(~node4(s292)), introduced(assumption)).
% 8.41/6.25 tff(28067,plain,
% 8.41/6.25 (xuntil2p8(s292) | (~until2p7(s292))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23366, 22704, 28066])).
% 8.41/6.25 tff(28068,plain,
% 8.41/6.25 (~until2p7(s292)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28067, 28065])).
% 8.41/6.25 tff(28069,plain,
% 8.41/6.25 (~xuntil2p8(s291)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23372, 28068])).
% 8.41/6.25 tff(28070,assumption,(~node4(s291)), introduced(assumption)).
% 8.41/6.25 tff(28071,plain,
% 8.41/6.25 (xuntil2p8(s291) | (~until2p7(s291))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23376, 22704, 28070])).
% 8.41/6.25 tff(28072,plain,
% 8.41/6.25 (~until2p7(s291)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28071, 28069])).
% 8.41/6.25 tff(28073,plain,
% 8.41/6.25 (~xuntil2p8(s290)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23382, 28072])).
% 8.41/6.25 tff(28074,assumption,(~node4(s290)), introduced(assumption)).
% 8.41/6.25 tff(28075,plain,
% 8.41/6.25 (xuntil2p8(s290) | (~until2p7(s290))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23386, 22704, 28074])).
% 8.41/6.25 tff(28076,plain,
% 8.41/6.25 (~until2p7(s290)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28075, 28073])).
% 8.41/6.25 tff(28077,plain,
% 8.41/6.25 (~xuntil2p8(s289)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23392, 28076])).
% 8.41/6.25 tff(28078,assumption,(~node4(s289)), introduced(assumption)).
% 8.41/6.25 tff(28079,plain,
% 8.41/6.25 (xuntil2p8(s289) | (~until2p7(s289))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23396, 22704, 28078])).
% 8.41/6.25 tff(28080,plain,
% 8.41/6.25 (~until2p7(s289)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28079, 28077])).
% 8.41/6.25 tff(28081,plain,
% 8.41/6.25 (~xuntil2p8(s288)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23402, 28080])).
% 8.41/6.25 tff(28082,assumption,(~node4(s288)), introduced(assumption)).
% 8.41/6.25 tff(28083,plain,
% 8.41/6.25 (xuntil2p8(s288) | (~until2p7(s288))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23406, 22704, 28082])).
% 8.41/6.25 tff(28084,plain,
% 8.41/6.25 (~until2p7(s288)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28083, 28081])).
% 8.41/6.25 tff(28085,plain,
% 8.41/6.25 (~xuntil2p8(s287)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23412, 28084])).
% 8.41/6.25 tff(28086,assumption,(~node4(s287)), introduced(assumption)).
% 8.41/6.25 tff(28087,plain,
% 8.41/6.25 (xuntil2p8(s287) | (~until2p7(s287))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23416, 22704, 28086])).
% 8.41/6.25 tff(28088,plain,
% 8.41/6.25 (~until2p7(s287)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28087, 28085])).
% 8.41/6.25 tff(28089,plain,
% 8.41/6.25 (~xuntil2p8(s286)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23422, 28088])).
% 8.41/6.25 tff(28090,assumption,(~node4(s286)), introduced(assumption)).
% 8.41/6.25 tff(28091,plain,
% 8.41/6.25 (xuntil2p8(s286) | (~until2p7(s286))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23426, 22704, 28090])).
% 8.41/6.25 tff(28092,plain,
% 8.41/6.25 (~until2p7(s286)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28091, 28089])).
% 8.41/6.25 tff(28093,plain,
% 8.41/6.25 (~xuntil2p8(s285)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23432, 28092])).
% 8.41/6.25 tff(28094,assumption,(~node4(s285)), introduced(assumption)).
% 8.41/6.25 tff(28095,plain,
% 8.41/6.25 (xuntil2p8(s285) | (~until2p7(s285))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23436, 22704, 28094])).
% 8.41/6.25 tff(28096,plain,
% 8.41/6.25 (~until2p7(s285)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28095, 28093])).
% 8.41/6.25 tff(28097,plain,
% 8.41/6.25 (~xuntil2p8(s284)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23442, 28096])).
% 8.41/6.25 tff(28098,assumption,(~node4(s284)), introduced(assumption)).
% 8.41/6.25 tff(28099,plain,
% 8.41/6.25 (xuntil2p8(s284) | (~until2p7(s284))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23446, 22704, 28098])).
% 8.41/6.25 tff(28100,plain,
% 8.41/6.25 (~until2p7(s284)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28099, 28097])).
% 8.41/6.25 tff(28101,plain,
% 8.41/6.25 (~xuntil2p8(s283)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23452, 28100])).
% 8.41/6.25 tff(28102,assumption,(~node4(s283)), introduced(assumption)).
% 8.41/6.25 tff(28103,plain,
% 8.41/6.25 (xuntil2p8(s283) | (~until2p7(s283))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23456, 22704, 28102])).
% 8.41/6.25 tff(28104,plain,
% 8.41/6.25 (~until2p7(s283)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28103, 28101])).
% 8.41/6.25 tff(28105,plain,
% 8.41/6.25 (~xuntil2p8(s282)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23462, 28104])).
% 8.41/6.25 tff(28106,assumption,(~node4(s282)), introduced(assumption)).
% 8.41/6.25 tff(28107,plain,
% 8.41/6.25 (xuntil2p8(s282) | (~until2p7(s282))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23466, 22704, 28106])).
% 8.41/6.25 tff(28108,plain,
% 8.41/6.25 (~until2p7(s282)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28107, 28105])).
% 8.41/6.25 tff(28109,plain,
% 8.41/6.25 (~xuntil2p8(s281)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23472, 28108])).
% 8.41/6.25 tff(28110,assumption,(~node4(s281)), introduced(assumption)).
% 8.41/6.25 tff(28111,plain,
% 8.41/6.25 (xuntil2p8(s281) | (~until2p7(s281))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23476, 22704, 28110])).
% 8.41/6.25 tff(28112,plain,
% 8.41/6.25 (~until2p7(s281)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28111, 28109])).
% 8.41/6.25 tff(28113,plain,
% 8.41/6.25 (~xuntil2p8(s280)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23482, 28112])).
% 8.41/6.25 tff(28114,assumption,(~node4(s280)), introduced(assumption)).
% 8.41/6.25 tff(28115,plain,
% 8.41/6.25 (xuntil2p8(s280) | (~until2p7(s280))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23486, 22704, 28114])).
% 8.41/6.25 tff(28116,plain,
% 8.41/6.25 (~until2p7(s280)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28115, 28113])).
% 8.41/6.25 tff(28117,plain,
% 8.41/6.25 (~xuntil2p8(s279)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23492, 28116])).
% 8.41/6.25 tff(28118,assumption,(~node4(s279)), introduced(assumption)).
% 8.41/6.25 tff(28119,plain,
% 8.41/6.25 (xuntil2p8(s279) | (~until2p7(s279))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23496, 22704, 28118])).
% 8.41/6.25 tff(28120,plain,
% 8.41/6.25 (~until2p7(s279)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28119, 28117])).
% 8.41/6.25 tff(28121,plain,
% 8.41/6.25 (~xuntil2p8(s278)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23502, 28120])).
% 8.41/6.25 tff(28122,assumption,(~node4(s278)), introduced(assumption)).
% 8.41/6.25 tff(28123,plain,
% 8.41/6.25 (xuntil2p8(s278) | (~until2p7(s278))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23506, 22704, 28122])).
% 8.41/6.25 tff(28124,plain,
% 8.41/6.25 (~until2p7(s278)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28123, 28121])).
% 8.41/6.25 tff(28125,plain,
% 8.41/6.25 (~xuntil2p8(s277)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23512, 28124])).
% 8.41/6.25 tff(28126,assumption,(~node4(s277)), introduced(assumption)).
% 8.41/6.25 tff(28127,plain,
% 8.41/6.25 (xuntil2p8(s277) | (~until2p7(s277))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23516, 22704, 28126])).
% 8.41/6.25 tff(28128,plain,
% 8.41/6.25 (~until2p7(s277)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28127, 28125])).
% 8.41/6.25 tff(28129,plain,
% 8.41/6.25 (~xuntil2p8(s276)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23522, 28128])).
% 8.41/6.25 tff(28130,assumption,(~node4(s276)), introduced(assumption)).
% 8.41/6.25 tff(28131,plain,
% 8.41/6.25 (xuntil2p8(s276) | (~until2p7(s276))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23526, 22704, 28130])).
% 8.41/6.25 tff(28132,plain,
% 8.41/6.25 (~until2p7(s276)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28131, 28129])).
% 8.41/6.25 tff(28133,plain,
% 8.41/6.25 (~xuntil2p8(s275)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23532, 28132])).
% 8.41/6.25 tff(28134,assumption,(~node4(s275)), introduced(assumption)).
% 8.41/6.25 tff(28135,plain,
% 8.41/6.25 (xuntil2p8(s275) | (~until2p7(s275))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23536, 22704, 28134])).
% 8.41/6.25 tff(28136,plain,
% 8.41/6.25 (~until2p7(s275)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28135, 28133])).
% 8.41/6.25 tff(28137,plain,
% 8.41/6.25 (~xuntil2p8(s274)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23542, 28136])).
% 8.41/6.25 tff(28138,assumption,(~node4(s274)), introduced(assumption)).
% 8.41/6.25 tff(28139,plain,
% 8.41/6.25 (xuntil2p8(s274) | (~until2p7(s274))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23546, 22704, 28138])).
% 8.41/6.25 tff(28140,plain,
% 8.41/6.25 (~until2p7(s274)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28139, 28137])).
% 8.41/6.25 tff(28141,plain,
% 8.41/6.25 (~xuntil2p8(s273)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23552, 28140])).
% 8.41/6.25 tff(28142,assumption,(~node4(s273)), introduced(assumption)).
% 8.41/6.25 tff(28143,plain,
% 8.41/6.25 (xuntil2p8(s273) | (~until2p7(s273))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23556, 22704, 28142])).
% 8.41/6.25 tff(28144,plain,
% 8.41/6.25 (~until2p7(s273)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28143, 28141])).
% 8.41/6.25 tff(28145,plain,
% 8.41/6.25 (~xuntil2p8(s272)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23562, 28144])).
% 8.41/6.25 tff(28146,assumption,(~node4(s272)), introduced(assumption)).
% 8.41/6.25 tff(28147,plain,
% 8.41/6.25 (xuntil2p8(s272) | (~until2p7(s272))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23566, 22704, 28146])).
% 8.41/6.25 tff(28148,plain,
% 8.41/6.25 (~until2p7(s272)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28147, 28145])).
% 8.41/6.25 tff(28149,plain,
% 8.41/6.25 (~xuntil2p8(s271)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23572, 28148])).
% 8.41/6.25 tff(28150,assumption,(~node4(s271)), introduced(assumption)).
% 8.41/6.25 tff(28151,plain,
% 8.41/6.25 (xuntil2p8(s271) | (~until2p7(s271))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23576, 22704, 28150])).
% 8.41/6.25 tff(28152,plain,
% 8.41/6.25 (~until2p7(s271)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28151, 28149])).
% 8.41/6.25 tff(28153,plain,
% 8.41/6.25 (~xuntil2p8(s270)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23582, 28152])).
% 8.41/6.25 tff(28154,assumption,(~node4(s270)), introduced(assumption)).
% 8.41/6.25 tff(28155,plain,
% 8.41/6.25 (xuntil2p8(s270) | (~until2p7(s270))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23586, 22704, 28154])).
% 8.41/6.25 tff(28156,plain,
% 8.41/6.25 (~until2p7(s270)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28155, 28153])).
% 8.41/6.25 tff(28157,plain,
% 8.41/6.25 (~xuntil2p8(s269)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23592, 28156])).
% 8.41/6.25 tff(28158,assumption,(~node4(s269)), introduced(assumption)).
% 8.41/6.25 tff(28159,plain,
% 8.41/6.25 (xuntil2p8(s269) | (~until2p7(s269))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23596, 22704, 28158])).
% 8.41/6.25 tff(28160,plain,
% 8.41/6.25 (~until2p7(s269)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28159, 28157])).
% 8.41/6.25 tff(28161,plain,
% 8.41/6.25 (~xuntil2p8(s268)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23602, 28160])).
% 8.41/6.25 tff(28162,assumption,(~node4(s268)), introduced(assumption)).
% 8.41/6.25 tff(28163,plain,
% 8.41/6.25 (xuntil2p8(s268) | (~until2p7(s268))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23606, 22704, 28162])).
% 8.41/6.25 tff(28164,plain,
% 8.41/6.25 (~until2p7(s268)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28163, 28161])).
% 8.41/6.25 tff(28165,plain,
% 8.41/6.25 (~xuntil2p8(s267)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23612, 28164])).
% 8.41/6.25 tff(28166,assumption,(~node4(s267)), introduced(assumption)).
% 8.41/6.25 tff(28167,plain,
% 8.41/6.25 (xuntil2p8(s267) | (~until2p7(s267))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23616, 22704, 28166])).
% 8.41/6.25 tff(28168,plain,
% 8.41/6.25 (~until2p7(s267)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28167, 28165])).
% 8.41/6.25 tff(28169,plain,
% 8.41/6.25 (~xuntil2p8(s266)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23622, 28168])).
% 8.41/6.25 tff(28170,assumption,(~node4(s266)), introduced(assumption)).
% 8.41/6.25 tff(28171,plain,
% 8.41/6.25 (xuntil2p8(s266) | (~until2p7(s266))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23626, 22704, 28170])).
% 8.41/6.25 tff(28172,plain,
% 8.41/6.25 (~until2p7(s266)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28171, 28169])).
% 8.41/6.25 tff(28173,plain,
% 8.41/6.25 (~xuntil2p8(s265)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23632, 28172])).
% 8.41/6.25 tff(28174,plain,
% 8.41/6.25 (xuntil2p8(s265) | (~until2p7(s265))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23636, 22704, 18136])).
% 8.41/6.25 tff(28175,plain,
% 8.41/6.25 (~until2p7(s265)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28174, 28173])).
% 8.41/6.25 tff(28176,plain,
% 8.41/6.25 (~xuntil2p8(s264)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23642, 28175])).
% 8.41/6.25 tff(28177,assumption,(~node4(s264)), introduced(assumption)).
% 8.41/6.25 tff(28178,plain,
% 8.41/6.25 (xuntil2p8(s264) | (~until2p7(s264))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23646, 22704, 28177])).
% 8.41/6.25 tff(28179,plain,
% 8.41/6.25 (~until2p7(s264)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28178, 28176])).
% 8.41/6.25 tff(28180,plain,
% 8.41/6.25 (~xuntil2p8(s263)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23652, 28179])).
% 8.41/6.25 tff(28181,assumption,(~node4(s263)), introduced(assumption)).
% 8.41/6.25 tff(28182,plain,
% 8.41/6.25 (xuntil2p8(s263) | (~until2p7(s263))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23656, 22704, 28181])).
% 8.41/6.25 tff(28183,plain,
% 8.41/6.25 (~until2p7(s263)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28182, 28180])).
% 8.41/6.25 tff(28184,plain,
% 8.41/6.25 (~xuntil2p8(s262)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23662, 28183])).
% 8.41/6.25 tff(28185,plain,
% 8.41/6.25 (xuntil2p8(s262) | (~until2p7(s262))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23666, 22704, 18170])).
% 8.41/6.25 tff(28186,plain,
% 8.41/6.25 (~until2p7(s262)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28185, 28184])).
% 8.41/6.25 tff(28187,plain,
% 8.41/6.25 (~xuntil2p8(s261)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23672, 28186])).
% 8.41/6.25 tff(28188,plain,
% 8.41/6.25 (xuntil2p8(s261) | (~until2p7(s261))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23676, 22704, 18174])).
% 8.41/6.25 tff(28189,plain,
% 8.41/6.25 (~until2p7(s261)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28188, 28187])).
% 8.41/6.25 tff(28190,plain,
% 8.41/6.25 (~xuntil2p8(s260)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23682, 28189])).
% 8.41/6.25 tff(28191,assumption,(~node4(s260)), introduced(assumption)).
% 8.41/6.25 tff(28192,plain,
% 8.41/6.25 (xuntil2p8(s260) | (~until2p7(s260))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23686, 22704, 28191])).
% 8.41/6.25 tff(28193,plain,
% 8.41/6.25 (~until2p7(s260)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28192, 28190])).
% 8.41/6.25 tff(28194,plain,
% 8.41/6.25 (~xuntil2p8(s259)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23692, 28193])).
% 8.41/6.25 tff(28195,assumption,(~node4(s259)), introduced(assumption)).
% 8.41/6.25 tff(28196,plain,
% 8.41/6.25 (xuntil2p8(s259) | (~until2p7(s259))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23696, 22704, 28195])).
% 8.41/6.25 tff(28197,plain,
% 8.41/6.25 (~until2p7(s259)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28196, 28194])).
% 8.41/6.25 tff(28198,plain,
% 8.41/6.25 (~xuntil2p8(s258)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23702, 28197])).
% 8.41/6.25 tff(28199,plain,
% 8.41/6.25 (xuntil2p8(s258) | (~until2p7(s258))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23706, 22704, 18184])).
% 8.41/6.25 tff(28200,plain,
% 8.41/6.25 (~until2p7(s258)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28199, 28198])).
% 8.41/6.25 tff(28201,plain,
% 8.41/6.25 (~xuntil2p8(s257)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23712, 28200])).
% 8.41/6.25 tff(28202,plain,
% 8.41/6.25 (xuntil2p8(s257) | (~until2p7(s257))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23716, 22704, 18188])).
% 8.41/6.25 tff(28203,plain,
% 8.41/6.25 (~until2p7(s257)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28202, 28201])).
% 8.41/6.25 tff(28204,plain,
% 8.41/6.25 (~xuntil2p8(s256)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23722, 28203])).
% 8.41/6.25 tff(28205,plain,
% 8.41/6.25 (xuntil2p8(s256) | (~until2p7(s256))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23726, 22704, 18192])).
% 8.41/6.25 tff(28206,plain,
% 8.41/6.25 (~until2p7(s256)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28205, 28204])).
% 8.41/6.25 tff(28207,plain,
% 8.41/6.25 (~xuntil2p8(s255)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23732, 28206])).
% 8.41/6.25 tff(28208,assumption,(~node4(s255)), introduced(assumption)).
% 8.41/6.25 tff(28209,plain,
% 8.41/6.25 (xuntil2p8(s255) | (~until2p7(s255))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23736, 22704, 28208])).
% 8.41/6.25 tff(28210,plain,
% 8.41/6.25 (~until2p7(s255)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28209, 28207])).
% 8.41/6.25 tff(28211,plain,
% 8.41/6.25 (~xuntil2p8(s254)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23742, 28210])).
% 8.41/6.25 tff(28212,assumption,(~node4(s254)), introduced(assumption)).
% 8.41/6.25 tff(28213,plain,
% 8.41/6.25 (xuntil2p8(s254) | (~until2p7(s254))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23746, 22704, 28212])).
% 8.41/6.25 tff(28214,plain,
% 8.41/6.25 (~until2p7(s254)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28213, 28211])).
% 8.41/6.25 tff(28215,plain,
% 8.41/6.25 (~xuntil2p8(s253)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23752, 28214])).
% 8.41/6.25 tff(28216,assumption,(~node4(s253)), introduced(assumption)).
% 8.41/6.25 tff(28217,plain,
% 8.41/6.25 (xuntil2p8(s253) | (~until2p7(s253))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23756, 22704, 28216])).
% 8.41/6.25 tff(28218,plain,
% 8.41/6.25 (~until2p7(s253)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28217, 28215])).
% 8.41/6.25 tff(28219,plain,
% 8.41/6.25 (~xuntil2p8(s252)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23762, 28218])).
% 8.41/6.25 tff(28220,plain,
% 8.41/6.25 (xuntil2p8(s252) | (~until2p7(s252))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23766, 22704, 18206])).
% 8.41/6.25 tff(28221,plain,
% 8.41/6.25 (~until2p7(s252)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28220, 28219])).
% 8.41/6.25 tff(28222,plain,
% 8.41/6.25 (~xuntil2p8(s251)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23772, 28221])).
% 8.41/6.25 tff(28223,plain,
% 8.41/6.25 (xuntil2p8(s251) | (~until2p7(s251))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23776, 22704, 18210])).
% 8.41/6.25 tff(28224,plain,
% 8.41/6.25 (~until2p7(s251)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28223, 28222])).
% 8.41/6.25 tff(28225,plain,
% 8.41/6.25 (~xuntil2p8(s250)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23782, 28224])).
% 8.41/6.25 tff(28226,plain,
% 8.41/6.25 (xuntil2p8(s250) | (~until2p7(s250))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23786, 22704, 18214])).
% 8.41/6.25 tff(28227,plain,
% 8.41/6.25 (~until2p7(s250)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28226, 28225])).
% 8.41/6.25 tff(28228,plain,
% 8.41/6.25 (~xuntil2p8(s249)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23792, 28227])).
% 8.41/6.25 tff(28229,assumption,(~node4(s249)), introduced(assumption)).
% 8.41/6.25 tff(28230,plain,
% 8.41/6.25 (xuntil2p8(s249) | (~until2p7(s249))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23796, 22704, 28229])).
% 8.41/6.25 tff(28231,plain,
% 8.41/6.25 (~until2p7(s249)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28230, 28228])).
% 8.41/6.25 tff(28232,plain,
% 8.41/6.25 (~xuntil2p8(s248)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23802, 28231])).
% 8.41/6.25 tff(28233,plain,
% 8.41/6.25 (xuntil2p8(s248) | (~until2p7(s248))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23806, 22704, 18222])).
% 8.41/6.25 tff(28234,plain,
% 8.41/6.25 (~until2p7(s248)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28233, 28232])).
% 8.41/6.25 tff(28235,plain,
% 8.41/6.25 (~xuntil2p8(s247)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23812, 28234])).
% 8.41/6.25 tff(28236,assumption,(~node4(s247)), introduced(assumption)).
% 8.41/6.25 tff(28237,plain,
% 8.41/6.25 (xuntil2p8(s247) | (~until2p7(s247))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23816, 22704, 28236])).
% 8.41/6.25 tff(28238,plain,
% 8.41/6.25 (~until2p7(s247)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28237, 28235])).
% 8.41/6.25 tff(28239,plain,
% 8.41/6.25 (~xuntil2p8(s246)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23822, 28238])).
% 8.41/6.25 tff(28240,assumption,(~node4(s246)), introduced(assumption)).
% 8.41/6.25 tff(28241,plain,
% 8.41/6.25 (xuntil2p8(s246) | (~until2p7(s246))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23826, 22704, 28240])).
% 8.41/6.25 tff(28242,plain,
% 8.41/6.25 (~until2p7(s246)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28241, 28239])).
% 8.41/6.25 tff(28243,plain,
% 8.41/6.25 (~xuntil2p8(s245)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23832, 28242])).
% 8.41/6.25 tff(28244,assumption,(~node4(s245)), introduced(assumption)).
% 8.41/6.25 tff(28245,plain,
% 8.41/6.25 (xuntil2p8(s245) | (~until2p7(s245))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23836, 22704, 28244])).
% 8.41/6.25 tff(28246,plain,
% 8.41/6.25 (~until2p7(s245)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28245, 28243])).
% 8.41/6.25 tff(28247,plain,
% 8.41/6.25 (~xuntil2p8(s244)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23842, 28246])).
% 8.41/6.25 tff(28248,assumption,(~node4(s244)), introduced(assumption)).
% 8.41/6.25 tff(28249,plain,
% 8.41/6.25 (xuntil2p8(s244) | (~until2p7(s244))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23846, 22704, 28248])).
% 8.41/6.25 tff(28250,plain,
% 8.41/6.25 (~until2p7(s244)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28249, 28247])).
% 8.41/6.25 tff(28251,plain,
% 8.41/6.25 (~xuntil2p8(s243)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23852, 28250])).
% 8.41/6.25 tff(28252,plain,
% 8.41/6.25 (xuntil2p8(s243) | (~until2p7(s243))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23856, 22704, 18242])).
% 8.41/6.25 tff(28253,plain,
% 8.41/6.25 (~until2p7(s243)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28252, 28251])).
% 8.41/6.25 tff(28254,plain,
% 8.41/6.25 (~xuntil2p8(s242)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23862, 28253])).
% 8.41/6.25 tff(28255,assumption,(~node4(s242)), introduced(assumption)).
% 8.41/6.25 tff(28256,plain,
% 8.41/6.25 (xuntil2p8(s242) | (~until2p7(s242))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23866, 22704, 28255])).
% 8.41/6.25 tff(28257,plain,
% 8.41/6.25 (~until2p7(s242)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28256, 28254])).
% 8.41/6.25 tff(28258,plain,
% 8.41/6.25 (~xuntil2p8(s241)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23872, 28257])).
% 8.41/6.25 tff(28259,plain,
% 8.41/6.25 (xuntil2p8(s241) | (~until2p7(s241))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23876, 22704, 18250])).
% 8.41/6.25 tff(28260,plain,
% 8.41/6.25 (~until2p7(s241)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28259, 28258])).
% 8.41/6.25 tff(28261,plain,
% 8.41/6.25 (~xuntil2p8(s240)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23882, 28260])).
% 8.41/6.25 tff(28262,assumption,(~node4(s240)), introduced(assumption)).
% 8.41/6.25 tff(28263,plain,
% 8.41/6.25 (xuntil2p8(s240) | (~until2p7(s240))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23886, 22704, 28262])).
% 8.41/6.25 tff(28264,plain,
% 8.41/6.25 (~until2p7(s240)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28263, 28261])).
% 8.41/6.25 tff(28265,plain,
% 8.41/6.25 (~xuntil2p8(s239)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23892, 28264])).
% 8.41/6.25 tff(28266,plain,
% 8.41/6.25 (xuntil2p8(s239) | (~until2p7(s239))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23896, 22704, 18258])).
% 8.41/6.25 tff(28267,plain,
% 8.41/6.25 (~until2p7(s239)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28266, 28265])).
% 8.41/6.25 tff(28268,plain,
% 8.41/6.25 (~xuntil2p8(s238)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23902, 28267])).
% 8.41/6.25 tff(28269,plain,
% 8.41/6.25 (xuntil2p8(s238) | (~until2p7(s238))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23906, 22704, 18262])).
% 8.41/6.25 tff(28270,plain,
% 8.41/6.25 (~until2p7(s238)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28269, 28268])).
% 8.41/6.25 tff(28271,plain,
% 8.41/6.25 (~xuntil2p8(s237)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23912, 28270])).
% 8.41/6.25 tff(28272,assumption,(~node4(s237)), introduced(assumption)).
% 8.41/6.25 tff(28273,plain,
% 8.41/6.25 (xuntil2p8(s237) | (~until2p7(s237))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23916, 22704, 28272])).
% 8.41/6.25 tff(28274,plain,
% 8.41/6.25 (~until2p7(s237)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28273, 28271])).
% 8.41/6.25 tff(28275,plain,
% 8.41/6.25 (~xuntil2p8(s236)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23922, 28274])).
% 8.41/6.25 tff(28276,assumption,(~node4(s236)), introduced(assumption)).
% 8.41/6.25 tff(28277,plain,
% 8.41/6.25 (xuntil2p8(s236) | (~until2p7(s236))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23926, 22704, 28276])).
% 8.41/6.25 tff(28278,plain,
% 8.41/6.25 (~until2p7(s236)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28277, 28275])).
% 8.41/6.25 tff(28279,plain,
% 8.41/6.25 (~xuntil2p8(s235)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23932, 28278])).
% 8.41/6.25 tff(28280,assumption,(~node4(s235)), introduced(assumption)).
% 8.41/6.25 tff(28281,plain,
% 8.41/6.25 (xuntil2p8(s235) | (~until2p7(s235))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23936, 22704, 28280])).
% 8.41/6.25 tff(28282,plain,
% 8.41/6.25 (~until2p7(s235)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28281, 28279])).
% 8.41/6.25 tff(28283,plain,
% 8.41/6.25 (~xuntil2p8(s234)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23942, 28282])).
% 8.41/6.25 tff(28284,assumption,(~node4(s234)), introduced(assumption)).
% 8.41/6.25 tff(28285,plain,
% 8.41/6.25 (xuntil2p8(s234) | (~until2p7(s234))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23946, 22704, 28284])).
% 8.41/6.25 tff(28286,plain,
% 8.41/6.25 (~until2p7(s234)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28285, 28283])).
% 8.41/6.25 tff(28287,plain,
% 8.41/6.25 (~xuntil2p8(s233)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23952, 28286])).
% 8.41/6.25 tff(28288,plain,
% 8.41/6.25 (xuntil2p8(s233) | (~until2p7(s233))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23956, 22704, 18278])).
% 8.41/6.25 tff(28289,plain,
% 8.41/6.25 (~until2p7(s233)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28288, 28287])).
% 8.41/6.25 tff(28290,plain,
% 8.41/6.25 (~xuntil2p8(s232)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23962, 28289])).
% 8.41/6.25 tff(28291,plain,
% 8.41/6.25 (xuntil2p8(s232) | (~until2p7(s232))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23966, 22704, 18282])).
% 8.41/6.25 tff(28292,plain,
% 8.41/6.25 (~until2p7(s232)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28291, 28290])).
% 8.41/6.25 tff(28293,plain,
% 8.41/6.25 (~xuntil2p8(s231)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23972, 28292])).
% 8.41/6.25 tff(28294,assumption,(~node4(s231)), introduced(assumption)).
% 8.41/6.25 tff(28295,plain,
% 8.41/6.25 (xuntil2p8(s231) | (~until2p7(s231))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23976, 22704, 28294])).
% 8.41/6.25 tff(28296,plain,
% 8.41/6.25 (~until2p7(s231)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28295, 28293])).
% 8.41/6.25 tff(28297,plain,
% 8.41/6.25 (~xuntil2p8(s230)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23982, 28296])).
% 8.41/6.25 tff(28298,assumption,(~node4(s230)), introduced(assumption)).
% 8.41/6.25 tff(28299,plain,
% 8.41/6.25 (xuntil2p8(s230) | (~until2p7(s230))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23986, 22704, 28298])).
% 8.41/6.25 tff(28300,plain,
% 8.41/6.25 (~until2p7(s230)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28299, 28297])).
% 8.41/6.25 tff(28301,plain,
% 8.41/6.25 (~xuntil2p8(s229)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23992, 28300])).
% 8.41/6.25 tff(28302,plain,
% 8.41/6.25 (xuntil2p8(s229) | (~until2p7(s229))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[23996, 22704, 18292])).
% 8.41/6.25 tff(28303,plain,
% 8.41/6.25 (~until2p7(s229)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28302, 28301])).
% 8.41/6.25 tff(28304,plain,
% 8.41/6.25 (~xuntil2p8(s228)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24002, 28303])).
% 8.41/6.25 tff(28305,plain,
% 8.41/6.25 (xuntil2p8(s228) | (~until2p7(s228))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24006, 22704, 18296])).
% 8.41/6.25 tff(28306,plain,
% 8.41/6.25 (~until2p7(s228)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28305, 28304])).
% 8.41/6.25 tff(28307,plain,
% 8.41/6.25 (~xuntil2p8(s227)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24012, 28306])).
% 8.41/6.25 tff(28308,plain,
% 8.41/6.25 (xuntil2p8(s227) | (~until2p7(s227))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24016, 22704, 18300])).
% 8.41/6.25 tff(28309,plain,
% 8.41/6.25 (~until2p7(s227)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28308, 28307])).
% 8.41/6.25 tff(28310,plain,
% 8.41/6.25 (~xuntil2p8(s226)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24022, 28309])).
% 8.41/6.25 tff(28311,assumption,(~node4(s226)), introduced(assumption)).
% 8.41/6.25 tff(28312,plain,
% 8.41/6.25 (xuntil2p8(s226) | (~until2p7(s226))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24026, 22704, 28311])).
% 8.41/6.25 tff(28313,plain,
% 8.41/6.25 (~until2p7(s226)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28312, 28310])).
% 8.41/6.25 tff(28314,plain,
% 8.41/6.25 (~xuntil2p8(s225)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24032, 28313])).
% 8.41/6.25 tff(28315,assumption,(~node4(s225)), introduced(assumption)).
% 8.41/6.25 tff(28316,plain,
% 8.41/6.25 (xuntil2p8(s225) | (~until2p7(s225))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24036, 22704, 28315])).
% 8.41/6.25 tff(28317,plain,
% 8.41/6.25 (~until2p7(s225)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28316, 28314])).
% 8.41/6.25 tff(28318,plain,
% 8.41/6.25 (~xuntil2p8(s224)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24042, 28317])).
% 8.41/6.25 tff(28319,plain,
% 8.41/6.25 (xuntil2p8(s224) | (~until2p7(s224))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24046, 22704, 18308])).
% 8.41/6.25 tff(28320,plain,
% 8.41/6.25 (~until2p7(s224)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28319, 28318])).
% 8.41/6.25 tff(28321,plain,
% 8.41/6.25 (~xuntil2p8(s223)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24052, 28320])).
% 8.41/6.25 tff(28322,assumption,(~node4(s223)), introduced(assumption)).
% 8.41/6.25 tff(28323,plain,
% 8.41/6.25 (xuntil2p8(s223) | (~until2p7(s223))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24056, 22704, 28322])).
% 8.41/6.25 tff(28324,plain,
% 8.41/6.25 (~until2p7(s223)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28323, 28321])).
% 8.41/6.25 tff(28325,plain,
% 8.41/6.25 (~xuntil2p8(s222)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24062, 28324])).
% 8.41/6.25 tff(28326,plain,
% 8.41/6.25 (xuntil2p8(s222) | (~until2p7(s222))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24066, 22704, 18316])).
% 8.41/6.25 tff(28327,plain,
% 8.41/6.25 (~until2p7(s222)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28326, 28325])).
% 8.41/6.25 tff(28328,plain,
% 8.41/6.25 (~xuntil2p8(s221)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24072, 28327])).
% 8.41/6.25 tff(28329,plain,
% 8.41/6.25 (xuntil2p8(s221) | (~until2p7(s221))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24076, 22704, 18320])).
% 8.41/6.25 tff(28330,plain,
% 8.41/6.25 (~until2p7(s221)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28329, 28328])).
% 8.41/6.25 tff(28331,plain,
% 8.41/6.25 (~xuntil2p8(s220)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24082, 28330])).
% 8.41/6.25 tff(28332,plain,
% 8.41/6.25 (xuntil2p8(s220) | (~until2p7(s220))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24086, 22704, 18324])).
% 8.41/6.25 tff(28333,plain,
% 8.41/6.25 (~until2p7(s220)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28332, 28331])).
% 8.41/6.25 tff(28334,plain,
% 8.41/6.25 (~xuntil2p8(s219)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24092, 28333])).
% 8.41/6.25 tff(28335,plain,
% 8.41/6.25 (xuntil2p8(s219) | (~until2p7(s219))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24096, 22704, 18328])).
% 8.41/6.25 tff(28336,plain,
% 8.41/6.25 (~until2p7(s219)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28335, 28334])).
% 8.41/6.25 tff(28337,plain,
% 8.41/6.25 (~xuntil2p8(s218)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24102, 28336])).
% 8.41/6.25 tff(28338,assumption,(~node4(s218)), introduced(assumption)).
% 8.41/6.25 tff(28339,plain,
% 8.41/6.25 (xuntil2p8(s218) | (~until2p7(s218))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24106, 22704, 28338])).
% 8.41/6.25 tff(28340,plain,
% 8.41/6.25 (~until2p7(s218)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28339, 28337])).
% 8.41/6.25 tff(28341,plain,
% 8.41/6.25 (~xuntil2p8(s217)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24112, 28340])).
% 8.41/6.25 tff(28342,plain,
% 8.41/6.25 (xuntil2p8(s217) | (~until2p7(s217))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24116, 22704, 14586])).
% 8.41/6.25 tff(28343,plain,
% 8.41/6.25 (~until2p7(s217)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28342, 28341])).
% 8.41/6.25 tff(28344,plain,
% 8.41/6.25 (~xuntil2p8(s216)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24122, 28343])).
% 8.41/6.25 tff(28345,plain,
% 8.41/6.25 (xuntil2p8(s216) | (~until2p7(s216))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24126, 22704, 14612])).
% 8.41/6.25 tff(28346,plain,
% 8.41/6.25 (~until2p7(s216)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28345, 28344])).
% 8.41/6.25 tff(28347,plain,
% 8.41/6.25 (~xuntil2p8(s215)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24132, 28346])).
% 8.41/6.25 tff(28348,plain,
% 8.41/6.25 (xuntil2p8(s215) | (~until2p7(s215))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24136, 22704, 14616])).
% 8.41/6.25 tff(28349,plain,
% 8.41/6.25 (~until2p7(s215)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28348, 28347])).
% 8.41/6.25 tff(28350,plain,
% 8.41/6.25 (~xuntil2p8(s214)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24142, 28349])).
% 8.41/6.25 tff(28351,assumption,(~node4(s214)), introduced(assumption)).
% 8.41/6.25 tff(28352,plain,
% 8.41/6.25 (xuntil2p8(s214) | (~until2p7(s214))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24146, 22704, 28351])).
% 8.41/6.25 tff(28353,plain,
% 8.41/6.25 (~until2p7(s214)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28352, 28350])).
% 8.41/6.25 tff(28354,plain,
% 8.41/6.25 (~xuntil2p8(s213)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24152, 28353])).
% 8.41/6.25 tff(28355,assumption,(~node4(s213)), introduced(assumption)).
% 8.41/6.25 tff(28356,plain,
% 8.41/6.25 (xuntil2p8(s213) | (~until2p7(s213))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24156, 22704, 28355])).
% 8.41/6.25 tff(28357,plain,
% 8.41/6.25 (~until2p7(s213)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28356, 28354])).
% 8.41/6.25 tff(28358,plain,
% 8.41/6.25 (~xuntil2p8(s212)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24162, 28357])).
% 8.41/6.25 tff(28359,assumption,(~node4(s212)), introduced(assumption)).
% 8.41/6.25 tff(28360,plain,
% 8.41/6.25 (xuntil2p8(s212) | (~until2p7(s212))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24166, 22704, 28359])).
% 8.41/6.25 tff(28361,plain,
% 8.41/6.25 (~until2p7(s212)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28360, 28358])).
% 8.41/6.25 tff(28362,plain,
% 8.41/6.25 (~xuntil2p8(s211)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24172, 28361])).
% 8.41/6.25 tff(28363,assumption,(~node4(s211)), introduced(assumption)).
% 8.41/6.25 tff(28364,plain,
% 8.41/6.25 (xuntil2p8(s211) | (~until2p7(s211))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24176, 22704, 28363])).
% 8.41/6.25 tff(28365,plain,
% 8.41/6.25 (~until2p7(s211)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28364, 28362])).
% 8.41/6.25 tff(28366,plain,
% 8.41/6.25 (~xuntil2p8(s210)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24182, 28365])).
% 8.41/6.25 tff(28367,plain,
% 8.41/6.25 (xuntil2p8(s210) | (~until2p7(s210))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24186, 22704, 18357])).
% 8.41/6.25 tff(28368,plain,
% 8.41/6.25 (~until2p7(s210)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28367, 28366])).
% 8.41/6.25 tff(28369,plain,
% 8.41/6.25 (~xuntil2p8(s209)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24192, 28368])).
% 8.41/6.25 tff(28370,plain,
% 8.41/6.25 (xuntil2p8(s209) | (~until2p7(s209))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24196, 22704, 14017])).
% 8.41/6.25 tff(28371,plain,
% 8.41/6.25 (~until2p7(s209)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28370, 28369])).
% 8.41/6.25 tff(28372,plain,
% 8.41/6.25 (~xuntil2p8(s208)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24202, 28371])).
% 8.41/6.25 tff(28373,assumption,(~node4(s208)), introduced(assumption)).
% 8.41/6.25 tff(28374,plain,
% 8.41/6.25 (xuntil2p8(s208) | (~until2p7(s208))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24206, 22704, 28373])).
% 8.41/6.25 tff(28375,plain,
% 8.41/6.25 (~until2p7(s208)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28374, 28372])).
% 8.41/6.25 tff(28376,plain,
% 8.41/6.25 (~xuntil2p8(s207)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24212, 28375])).
% 8.41/6.25 tff(28377,plain,
% 8.41/6.25 (xuntil2p8(s207) | (~until2p7(s207))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24216, 22704, 12851])).
% 8.41/6.25 tff(28378,plain,
% 8.41/6.25 (~until2p7(s207)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28377, 28376])).
% 8.41/6.25 tff(28379,plain,
% 8.41/6.25 (~xuntil2p8(s206)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24222, 28378])).
% 8.41/6.25 tff(28380,plain,
% 8.41/6.25 (xuntil2p8(s206) | (~until2p7(s206))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24226, 22704, 12852])).
% 8.41/6.25 tff(28381,plain,
% 8.41/6.25 (~until2p7(s206)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28380, 28379])).
% 8.41/6.25 tff(28382,plain,
% 8.41/6.25 (~xuntil2p8(s205)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24232, 28381])).
% 8.41/6.25 tff(28383,plain,
% 8.41/6.25 (xuntil2p8(s205) | (~until2p7(s205))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24236, 22704, 12858])).
% 8.41/6.25 tff(28384,plain,
% 8.41/6.25 (~until2p7(s205)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28383, 28382])).
% 8.41/6.25 tff(28385,plain,
% 8.41/6.25 (~xuntil2p8(s204)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24242, 28384])).
% 8.41/6.25 tff(28386,plain,
% 8.41/6.25 (xuntil2p8(s204) | (~until2p7(s204))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24246, 22704, 12855])).
% 8.41/6.25 tff(28387,plain,
% 8.41/6.25 (~until2p7(s204)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28386, 28385])).
% 8.41/6.25 tff(28388,plain,
% 8.41/6.25 (~xuntil2p8(s203)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24252, 28387])).
% 8.41/6.25 tff(28389,assumption,(~node4(s203)), introduced(assumption)).
% 8.41/6.25 tff(28390,plain,
% 8.41/6.25 (xuntil2p8(s203) | (~until2p7(s203))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24256, 22704, 28389])).
% 8.41/6.25 tff(28391,plain,
% 8.41/6.25 (~until2p7(s203)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28390, 28388])).
% 8.41/6.25 tff(28392,plain,
% 8.41/6.25 (~xuntil2p8(s202)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24262, 28391])).
% 8.41/6.25 tff(28393,assumption,(~node4(s202)), introduced(assumption)).
% 8.41/6.25 tff(28394,plain,
% 8.41/6.25 (xuntil2p8(s202) | (~until2p7(s202))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24266, 22704, 28393])).
% 8.41/6.25 tff(28395,plain,
% 8.41/6.25 (~until2p7(s202)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28394, 28392])).
% 8.41/6.25 tff(28396,plain,
% 8.41/6.25 (~xuntil2p8(s201)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24272, 28395])).
% 8.41/6.25 tff(28397,plain,
% 8.41/6.25 (xuntil2p8(s201) | (~until2p7(s201))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24276, 22704, 12857])).
% 8.41/6.25 tff(28398,plain,
% 8.41/6.25 (~until2p7(s201)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28397, 28396])).
% 8.41/6.25 tff(28399,plain,
% 8.41/6.25 (~xuntil2p8(s200)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24282, 28398])).
% 8.41/6.25 tff(28400,plain,
% 8.41/6.25 (xuntil2p8(s200) | (~until2p7(s200))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24286, 22704, 12856])).
% 8.41/6.25 tff(28401,plain,
% 8.41/6.25 (~until2p7(s200)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28400, 28399])).
% 8.41/6.25 tff(28402,plain,
% 8.41/6.25 (~xuntil2p8(s199)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24292, 28401])).
% 8.41/6.25 tff(28403,plain,
% 8.41/6.25 (xuntil2p8(s199) | (~until2p7(s199))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24296, 22704, 12854])).
% 8.41/6.25 tff(28404,plain,
% 8.41/6.25 (~until2p7(s199)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28403, 28402])).
% 8.41/6.25 tff(28405,plain,
% 8.41/6.25 (~xuntil2p8(s198)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24302, 28404])).
% 8.41/6.25 tff(28406,plain,
% 8.41/6.25 (xuntil2p8(s198) | (~until2p7(s198))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24306, 22704, 12853])).
% 8.41/6.25 tff(28407,plain,
% 8.41/6.25 (~until2p7(s198)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28406, 28405])).
% 8.41/6.25 tff(28408,plain,
% 8.41/6.25 (~xuntil2p8(s197)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24312, 28407])).
% 8.41/6.25 tff(28409,plain,
% 8.41/6.25 (xuntil2p8(s197) | (~until2p7(s197))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24316, 22704, 12849])).
% 8.41/6.25 tff(28410,plain,
% 8.41/6.25 (~until2p7(s197)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28409, 28408])).
% 8.41/6.25 tff(28411,plain,
% 8.41/6.25 (~xuntil2p8(s196)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24322, 28410])).
% 8.41/6.25 tff(28412,assumption,(~node4(s196)), introduced(assumption)).
% 8.41/6.25 tff(28413,plain,
% 8.41/6.25 (xuntil2p8(s196) | (~until2p7(s196))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24326, 22704, 28412])).
% 8.41/6.25 tff(28414,plain,
% 8.41/6.25 (~until2p7(s196)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28413, 28411])).
% 8.41/6.25 tff(28415,plain,
% 8.41/6.25 (~xuntil2p8(s195)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24332, 28414])).
% 8.41/6.25 tff(28416,assumption,(~node4(s195)), introduced(assumption)).
% 8.41/6.25 tff(28417,plain,
% 8.41/6.25 (xuntil2p8(s195) | (~until2p7(s195))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24336, 22704, 28416])).
% 8.41/6.25 tff(28418,plain,
% 8.41/6.25 (~until2p7(s195)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28417, 28415])).
% 8.41/6.25 tff(28419,plain,
% 8.41/6.25 (~xuntil2p8(s194)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24342, 28418])).
% 8.41/6.25 tff(28420,assumption,(~node4(s194)), introduced(assumption)).
% 8.41/6.25 tff(28421,plain,
% 8.41/6.25 (xuntil2p8(s194) | (~until2p7(s194))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24346, 22704, 28420])).
% 8.41/6.25 tff(28422,plain,
% 8.41/6.25 (~until2p7(s194)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28421, 28419])).
% 8.41/6.25 tff(28423,plain,
% 8.41/6.25 (~xuntil2p8(s193)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24352, 28422])).
% 8.41/6.25 tff(28424,plain,
% 8.41/6.25 (xuntil2p8(s193) | (~until2p7(s193))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24356, 22704, 18403])).
% 8.41/6.25 tff(28425,plain,
% 8.41/6.25 (~until2p7(s193)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28424, 28423])).
% 8.41/6.25 tff(28426,plain,
% 8.41/6.25 (~xuntil2p8(s192)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24362, 28425])).
% 8.41/6.25 tff(28427,assumption,(~node4(s192)), introduced(assumption)).
% 8.41/6.25 tff(28428,plain,
% 8.41/6.25 (xuntil2p8(s192) | (~until2p7(s192))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24366, 22704, 28427])).
% 8.41/6.25 tff(28429,plain,
% 8.41/6.25 (~until2p7(s192)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28428, 28426])).
% 8.41/6.25 tff(28430,plain,
% 8.41/6.25 (~xuntil2p8(s191)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24372, 28429])).
% 8.41/6.25 tff(28431,plain,
% 8.41/6.25 (xuntil2p8(s191) | (~until2p7(s191))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24376, 22704, 18409])).
% 8.41/6.25 tff(28432,plain,
% 8.41/6.25 (~until2p7(s191)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28431, 28430])).
% 8.41/6.25 tff(28433,plain,
% 8.41/6.25 (~xuntil2p8(s190)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24382, 28432])).
% 8.41/6.25 tff(28434,assumption,(~node4(s190)), introduced(assumption)).
% 8.41/6.25 tff(28435,plain,
% 8.41/6.25 (xuntil2p8(s190) | (~until2p7(s190))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24386, 22704, 28434])).
% 8.41/6.25 tff(28436,plain,
% 8.41/6.25 (~until2p7(s190)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28435, 28433])).
% 8.41/6.25 tff(28437,plain,
% 8.41/6.25 (~xuntil2p8(s189)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24392, 28436])).
% 8.41/6.25 tff(28438,plain,
% 8.41/6.25 (xuntil2p8(s189) | (~until2p7(s189))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24396, 22704, 18417])).
% 8.41/6.25 tff(28439,plain,
% 8.41/6.25 (~until2p7(s189)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28438, 28437])).
% 8.41/6.25 tff(28440,plain,
% 8.41/6.25 (~xuntil2p8(s188)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24402, 28439])).
% 8.41/6.25 tff(28441,assumption,(~node4(s188)), introduced(assumption)).
% 8.41/6.25 tff(28442,plain,
% 8.41/6.25 (xuntil2p8(s188) | (~until2p7(s188))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24406, 22704, 28441])).
% 8.41/6.25 tff(28443,plain,
% 8.41/6.25 (~until2p7(s188)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28442, 28440])).
% 8.41/6.25 tff(28444,plain,
% 8.41/6.25 (~xuntil2p8(s187)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24412, 28443])).
% 8.41/6.25 tff(28445,assumption,(~node4(s187)), introduced(assumption)).
% 8.41/6.25 tff(28446,plain,
% 8.41/6.25 (xuntil2p8(s187) | (~until2p7(s187))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24416, 22704, 28445])).
% 8.41/6.25 tff(28447,plain,
% 8.41/6.25 (~until2p7(s187)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28446, 28444])).
% 8.41/6.25 tff(28448,plain,
% 8.41/6.25 (~xuntil2p8(s186)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24422, 28447])).
% 8.41/6.25 tff(28449,plain,
% 8.41/6.25 (xuntil2p8(s186) | (~until2p7(s186))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24426, 22704, 18429])).
% 8.41/6.25 tff(28450,plain,
% 8.41/6.25 (~until2p7(s186)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28449, 28448])).
% 8.41/6.25 tff(28451,plain,
% 8.41/6.25 (~xuntil2p8(s185)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24432, 28450])).
% 8.41/6.25 tff(28452,plain,
% 8.41/6.25 (xuntil2p8(s185) | (~until2p7(s185))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24436, 22704, 18433])).
% 8.41/6.25 tff(28453,plain,
% 8.41/6.25 (~until2p7(s185)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28452, 28451])).
% 8.41/6.25 tff(28454,plain,
% 8.41/6.25 (~xuntil2p8(s184)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24442, 28453])).
% 8.41/6.25 tff(28455,assumption,(~node4(s184)), introduced(assumption)).
% 8.41/6.25 tff(28456,plain,
% 8.41/6.25 (xuntil2p8(s184) | (~until2p7(s184))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24446, 22704, 28455])).
% 8.41/6.25 tff(28457,plain,
% 8.41/6.25 (~until2p7(s184)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28456, 28454])).
% 8.41/6.25 tff(28458,plain,
% 8.41/6.25 (~xuntil2p8(s183)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24452, 28457])).
% 8.41/6.25 tff(28459,assumption,(~node4(s183)), introduced(assumption)).
% 8.41/6.25 tff(28460,plain,
% 8.41/6.25 (xuntil2p8(s183) | (~until2p7(s183))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24456, 22704, 28459])).
% 8.41/6.25 tff(28461,plain,
% 8.41/6.25 (~until2p7(s183)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28460, 28458])).
% 8.41/6.25 tff(28462,plain,
% 8.41/6.25 (~xuntil2p8(s182)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24462, 28461])).
% 8.41/6.25 tff(28463,assumption,(~node4(s182)), introduced(assumption)).
% 8.41/6.25 tff(28464,plain,
% 8.41/6.25 (xuntil2p8(s182) | (~until2p7(s182))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24466, 22704, 28463])).
% 8.41/6.25 tff(28465,plain,
% 8.41/6.25 (~until2p7(s182)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28464, 28462])).
% 8.41/6.25 tff(28466,plain,
% 8.41/6.25 (~xuntil2p8(s181)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24472, 28465])).
% 8.41/6.25 tff(28467,assumption,(~node4(s181)), introduced(assumption)).
% 8.41/6.25 tff(28468,plain,
% 8.41/6.25 (xuntil2p8(s181) | (~until2p7(s181))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24476, 22704, 28467])).
% 8.41/6.25 tff(28469,plain,
% 8.41/6.25 (~until2p7(s181)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28468, 28466])).
% 8.41/6.25 tff(28470,plain,
% 8.41/6.25 (~xuntil2p8(s180)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24482, 28469])).
% 8.41/6.25 tff(28471,plain,
% 8.41/6.25 (xuntil2p8(s180) | (~until2p7(s180))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24486, 22704, 12943])).
% 8.41/6.25 tff(28472,plain,
% 8.41/6.25 (~until2p7(s180)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28471, 28470])).
% 8.41/6.25 tff(28473,plain,
% 8.41/6.25 (~xuntil2p8(s179)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24492, 28472])).
% 8.41/6.25 tff(28474,plain,
% 8.41/6.25 (xuntil2p8(s179) | (~until2p7(s179))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24496, 22704, 12947])).
% 8.41/6.25 tff(28475,plain,
% 8.41/6.25 (~until2p7(s179)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28474, 28473])).
% 8.41/6.25 tff(28476,plain,
% 8.41/6.25 (~xuntil2p8(s178)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24502, 28475])).
% 8.41/6.25 tff(28477,assumption,(~node4(s178)), introduced(assumption)).
% 8.41/6.25 tff(28478,plain,
% 8.41/6.25 (xuntil2p8(s178) | (~until2p7(s178))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24506, 22704, 28477])).
% 8.41/6.25 tff(28479,plain,
% 8.41/6.25 (~until2p7(s178)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28478, 28476])).
% 8.41/6.25 tff(28480,plain,
% 8.41/6.25 (~xuntil2p8(s177)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24512, 28479])).
% 8.41/6.25 tff(28481,plain,
% 8.41/6.25 (xuntil2p8(s177) | (~until2p7(s177))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24516, 22704, 12958])).
% 8.41/6.25 tff(28482,plain,
% 8.41/6.25 (~until2p7(s177)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28481, 28480])).
% 8.41/6.25 tff(28483,plain,
% 8.41/6.25 (~xuntil2p8(s176)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24522, 28482])).
% 8.41/6.25 tff(28484,plain,
% 8.41/6.25 (xuntil2p8(s176) | (~until2p7(s176))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24526, 22704, 12962])).
% 8.41/6.25 tff(28485,plain,
% 8.41/6.25 (~until2p7(s176)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28484, 28483])).
% 8.41/6.25 tff(28486,plain,
% 8.41/6.25 (~xuntil2p8(s175)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24532, 28485])).
% 8.41/6.25 tff(28487,plain,
% 8.41/6.25 (xuntil2p8(s175) | (~until2p7(s175))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24536, 22704, 12966])).
% 8.41/6.25 tff(28488,plain,
% 8.41/6.25 (~until2p7(s175)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28487, 28486])).
% 8.41/6.25 tff(28489,plain,
% 8.41/6.25 (~xuntil2p8(s174)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24542, 28488])).
% 8.41/6.25 tff(28490,plain,
% 8.41/6.25 (xuntil2p8(s174) | (~until2p7(s174))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24546, 22704, 12970])).
% 8.41/6.25 tff(28491,plain,
% 8.41/6.25 (~until2p7(s174)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28490, 28489])).
% 8.41/6.25 tff(28492,plain,
% 8.41/6.25 (~xuntil2p8(s173)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24552, 28491])).
% 8.41/6.25 tff(28493,plain,
% 8.41/6.25 (xuntil2p8(s173) | (~until2p7(s173))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24556, 22704, 18744])).
% 8.41/6.25 tff(28494,plain,
% 8.41/6.25 (~until2p7(s173)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28493, 28492])).
% 8.41/6.25 tff(28495,plain,
% 8.41/6.25 (~xuntil2p8(s172)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24562, 28494])).
% 8.41/6.25 tff(28496,plain,
% 8.41/6.25 (xuntil2p8(s172) | (~until2p7(s172))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24566, 22704, 12976])).
% 8.41/6.25 tff(28497,plain,
% 8.41/6.25 (~until2p7(s172)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28496, 28495])).
% 8.41/6.25 tff(28498,plain,
% 8.41/6.25 (~xuntil2p8(s171)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24584, 28497])).
% 8.41/6.25 tff(28499,assumption,(~node4(s171)), introduced(assumption)).
% 8.41/6.25 tff(28500,plain,
% 8.41/6.25 (xuntil2p8(s171) | (~until2p7(s171))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24588, 22704, 28499])).
% 8.41/6.25 tff(28501,plain,
% 8.41/6.25 (~until2p7(s171)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28500, 28498])).
% 8.41/6.25 tff(28502,plain,
% 8.41/6.25 (~xuntil2p8(s170)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24594, 28501])).
% 8.41/6.25 tff(28503,plain,
% 8.41/6.25 (xuntil2p8(s170) | (~until2p7(s170))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24598, 22704, 12982])).
% 8.41/6.25 tff(28504,plain,
% 8.41/6.25 (~until2p7(s170)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28503, 28502])).
% 8.41/6.25 tff(28505,plain,
% 8.41/6.25 (~xuntil2p8(s169)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24604, 28504])).
% 8.41/6.25 tff(28506,plain,
% 8.41/6.25 (xuntil2p8(s169) | (~until2p7(s169))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24608, 22704, 12986])).
% 8.41/6.25 tff(28507,plain,
% 8.41/6.25 (~until2p7(s169)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28506, 28505])).
% 8.41/6.25 tff(28508,plain,
% 8.41/6.25 (~xuntil2p8(s168)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24614, 28507])).
% 8.41/6.25 tff(28509,plain,
% 8.41/6.25 (xuntil2p8(s168) | (~until2p7(s168))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24618, 22704, 12990])).
% 8.41/6.25 tff(28510,plain,
% 8.41/6.25 (~until2p7(s168)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28509, 28508])).
% 8.41/6.25 tff(28511,plain,
% 8.41/6.25 (~xuntil2p8(s167)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24624, 28510])).
% 8.41/6.25 tff(28512,assumption,(~node4(s167)), introduced(assumption)).
% 8.41/6.25 tff(28513,plain,
% 8.41/6.25 (xuntil2p8(s167) | (~until2p7(s167))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24628, 22704, 28512])).
% 8.41/6.25 tff(28514,plain,
% 8.41/6.25 (~until2p7(s167)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28513, 28511])).
% 8.41/6.25 tff(28515,plain,
% 8.41/6.25 (~xuntil2p8(s166)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24634, 28514])).
% 8.41/6.25 tff(28516,plain,
% 8.41/6.25 (xuntil2p8(s166) | (~until2p7(s166))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24638, 22704, 13407])).
% 8.41/6.25 tff(28517,plain,
% 8.41/6.25 (~until2p7(s166)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28516, 28515])).
% 8.41/6.25 tff(28518,plain,
% 8.41/6.25 (~xuntil2p8(s165)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24644, 28517])).
% 8.41/6.25 tff(28519,plain,
% 8.41/6.25 (xuntil2p8(s165) | (~until2p7(s165))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24648, 22704, 13403])).
% 8.41/6.25 tff(28520,plain,
% 8.41/6.25 (~until2p7(s165)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28519, 28518])).
% 8.41/6.25 tff(28521,plain,
% 8.41/6.25 (~xuntil2p8(s164)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24654, 28520])).
% 8.41/6.25 tff(28522,plain,
% 8.41/6.25 (xuntil2p8(s164) | (~until2p7(s164))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24658, 22704, 13399])).
% 8.41/6.25 tff(28523,plain,
% 8.41/6.25 (~until2p7(s164)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28522, 28521])).
% 8.41/6.25 tff(28524,plain,
% 8.41/6.25 (~xuntil2p8(s163)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24664, 28523])).
% 8.41/6.25 tff(28525,plain,
% 8.41/6.25 (xuntil2p8(s163) | (~until2p7(s163))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24668, 22704, 18720])).
% 8.41/6.25 tff(28526,plain,
% 8.41/6.25 (~until2p7(s163)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28525, 28524])).
% 8.41/6.25 tff(28527,plain,
% 8.41/6.25 (~xuntil2p8(s162)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24674, 28526])).
% 8.41/6.25 tff(28528,plain,
% 8.41/6.25 (xuntil2p8(s162) | (~until2p7(s162))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24678, 22704, 13393])).
% 8.41/6.25 tff(28529,plain,
% 8.41/6.25 (~until2p7(s162)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28528, 28527])).
% 8.41/6.25 tff(28530,plain,
% 8.41/6.25 (~xuntil2p8(s161)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24684, 28529])).
% 8.41/6.25 tff(28531,plain,
% 8.41/6.25 (xuntil2p8(s161) | (~until2p7(s161))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24688, 22704, 13389])).
% 8.41/6.25 tff(28532,plain,
% 8.41/6.25 (~until2p7(s161)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28531, 28530])).
% 8.41/6.25 tff(28533,plain,
% 8.41/6.25 (~xuntil2p8(s160)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24694, 28532])).
% 8.41/6.25 tff(28534,assumption,(~node4(s160)), introduced(assumption)).
% 8.41/6.25 tff(28535,plain,
% 8.41/6.25 (xuntil2p8(s160) | (~until2p7(s160))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24698, 22704, 28534])).
% 8.41/6.25 tff(28536,plain,
% 8.41/6.25 (~until2p7(s160)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28535, 28533])).
% 8.41/6.25 tff(28537,plain,
% 8.41/6.25 (~xuntil2p8(s159)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24704, 28536])).
% 8.41/6.25 tff(28538,assumption,(~node4(s159)), introduced(assumption)).
% 8.41/6.25 tff(28539,plain,
% 8.41/6.25 (xuntil2p8(s159) | (~until2p7(s159))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24708, 22704, 28538])).
% 8.41/6.25 tff(28540,plain,
% 8.41/6.25 (~until2p7(s159)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28539, 28537])).
% 8.41/6.25 tff(28541,plain,
% 8.41/6.25 (~xuntil2p8(s158)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24714, 28540])).
% 8.41/6.25 tff(28542,assumption,(~node4(s158)), introduced(assumption)).
% 8.41/6.25 tff(28543,plain,
% 8.41/6.25 (xuntil2p8(s158) | (~until2p7(s158))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24718, 22704, 28542])).
% 8.41/6.25 tff(28544,plain,
% 8.41/6.25 (~until2p7(s158)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28543, 28541])).
% 8.41/6.25 tff(28545,plain,
% 8.41/6.25 (~xuntil2p8(s157)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24724, 28544])).
% 8.41/6.25 tff(28546,plain,
% 8.41/6.25 (xuntil2p8(s157) | (~until2p7(s157))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24728, 22704, 13375])).
% 8.41/6.25 tff(28547,plain,
% 8.41/6.25 (~until2p7(s157)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28546, 28545])).
% 8.41/6.25 tff(28548,plain,
% 8.41/6.25 (~xuntil2p8(s156)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24734, 28547])).
% 8.41/6.25 tff(28549,plain,
% 8.41/6.25 (xuntil2p8(s156) | (~until2p7(s156))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24738, 22704, 13371])).
% 8.41/6.25 tff(28550,plain,
% 8.41/6.25 (~until2p7(s156)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28549, 28548])).
% 8.41/6.25 tff(28551,plain,
% 8.41/6.25 (~xuntil2p8(s155)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24744, 28550])).
% 8.41/6.25 tff(28552,plain,
% 8.41/6.25 (xuntil2p8(s155) | (~until2p7(s155))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24748, 22704, 13367])).
% 8.41/6.25 tff(28553,plain,
% 8.41/6.25 (~until2p7(s155)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28552, 28551])).
% 8.41/6.25 tff(28554,plain,
% 8.41/6.25 (~xuntil2p8(s154)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24754, 28553])).
% 8.41/6.25 tff(28555,assumption,(~node4(s154)), introduced(assumption)).
% 8.41/6.25 tff(28556,plain,
% 8.41/6.25 (xuntil2p8(s154) | (~until2p7(s154))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24758, 22704, 28555])).
% 8.41/6.25 tff(28557,plain,
% 8.41/6.25 (~until2p7(s154)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28556, 28554])).
% 8.41/6.25 tff(28558,plain,
% 8.41/6.25 (~xuntil2p8(s153)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24764, 28557])).
% 8.41/6.25 tff(28559,plain,
% 8.41/6.25 (xuntil2p8(s153) | (~until2p7(s153))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24768, 22704, 12994])).
% 8.41/6.25 tff(28560,plain,
% 8.41/6.25 (~until2p7(s153)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28559, 28558])).
% 8.41/6.25 tff(28561,plain,
% 8.41/6.25 (~xuntil2p8(s152)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24774, 28560])).
% 8.41/6.25 tff(28562,plain,
% 8.41/6.25 (xuntil2p8(s152) | (~until2p7(s152))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24778, 22704, 12995])).
% 8.41/6.25 tff(28563,plain,
% 8.41/6.25 (~until2p7(s152)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28562, 28561])).
% 8.41/6.25 tff(28564,plain,
% 8.41/6.25 (~xuntil2p8(s151)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24784, 28563])).
% 8.41/6.25 tff(28565,plain,
% 8.41/6.25 (xuntil2p8(s151) | (~until2p7(s151))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24788, 22704, 18684])).
% 8.41/6.25 tff(28566,plain,
% 8.41/6.25 (~until2p7(s151)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28565, 28564])).
% 8.41/6.25 tff(28567,plain,
% 8.41/6.25 (~xuntil2p8(s150)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24794, 28566])).
% 8.41/6.25 tff(28568,assumption,(~node4(s150)), introduced(assumption)).
% 8.41/6.25 tff(28569,plain,
% 8.41/6.25 (xuntil2p8(s150) | (~until2p7(s150))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24798, 22704, 28568])).
% 8.41/6.25 tff(28570,plain,
% 8.41/6.25 (~until2p7(s150)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28569, 28567])).
% 8.41/6.25 tff(28571,plain,
% 8.41/6.25 (~xuntil2p8(s149)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24804, 28570])).
% 8.41/6.25 tff(28572,assumption,(~node4(s149)), introduced(assumption)).
% 8.41/6.25 tff(28573,plain,
% 8.41/6.25 (xuntil2p8(s149) | (~until2p7(s149))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24808, 22704, 28572])).
% 8.41/6.25 tff(28574,plain,
% 8.41/6.25 (~until2p7(s149)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28573, 28571])).
% 8.41/6.25 tff(28575,plain,
% 8.41/6.25 (~xuntil2p8(s148)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24814, 28574])).
% 8.41/6.25 tff(28576,plain,
% 8.41/6.25 (xuntil2p8(s148) | (~until2p7(s148))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24818, 22704, 18672])).
% 8.41/6.25 tff(28577,plain,
% 8.41/6.25 (~until2p7(s148)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28576, 28575])).
% 8.41/6.25 tff(28578,plain,
% 8.41/6.25 (~xuntil2p8(s147)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24824, 28577])).
% 8.41/6.25 tff(28579,assumption,(~node4(s147)), introduced(assumption)).
% 8.41/6.25 tff(28580,plain,
% 8.41/6.25 (xuntil2p8(s147) | (~until2p7(s147))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24828, 22704, 28579])).
% 8.41/6.25 tff(28581,plain,
% 8.41/6.25 (~until2p7(s147)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28580, 28578])).
% 8.41/6.25 tff(28582,plain,
% 8.41/6.25 (~xuntil2p8(s146)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24834, 28581])).
% 8.41/6.25 tff(28583,plain,
% 8.41/6.25 (xuntil2p8(s146) | (~until2p7(s146))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24838, 22704, 18664])).
% 8.41/6.25 tff(28584,plain,
% 8.41/6.25 (~until2p7(s146)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28583, 28582])).
% 8.41/6.25 tff(28585,plain,
% 8.41/6.25 (~xuntil2p8(s145)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24844, 28584])).
% 8.41/6.25 tff(28586,plain,
% 8.41/6.25 (xuntil2p8(s145) | (~until2p7(s145))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24848, 22704, 18660])).
% 8.41/6.25 tff(28587,plain,
% 8.41/6.25 (~until2p7(s145)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28586, 28585])).
% 8.41/6.25 tff(28588,plain,
% 8.41/6.25 (~xuntil2p8(s144)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24854, 28587])).
% 8.41/6.25 tff(28589,plain,
% 8.41/6.25 (xuntil2p8(s144) | (~until2p7(s144))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24858, 22704, 18656])).
% 8.41/6.25 tff(28590,plain,
% 8.41/6.25 (~until2p7(s144)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28589, 28588])).
% 8.41/6.25 tff(28591,plain,
% 8.41/6.25 (~xuntil2p8(s143)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24864, 28590])).
% 8.41/6.25 tff(28592,assumption,(~node4(s143)), introduced(assumption)).
% 8.41/6.25 tff(28593,plain,
% 8.41/6.25 (xuntil2p8(s143) | (~until2p7(s143))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24868, 22704, 28592])).
% 8.41/6.25 tff(28594,plain,
% 8.41/6.25 (~until2p7(s143)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28593, 28591])).
% 8.41/6.25 tff(28595,plain,
% 8.41/6.25 (~xuntil2p8(s142)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24874, 28594])).
% 8.41/6.25 tff(28596,plain,
% 8.41/6.25 (xuntil2p8(s142) | (~until2p7(s142))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24878, 22704, 18648])).
% 8.41/6.25 tff(28597,plain,
% 8.41/6.25 (~until2p7(s142)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28596, 28595])).
% 8.41/6.25 tff(28598,plain,
% 8.41/6.25 (~xuntil2p8(s141)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24884, 28597])).
% 8.41/6.25 tff(28599,plain,
% 8.41/6.25 (xuntil2p8(s141) | (~until2p7(s141))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24888, 22704, 18644])).
% 8.41/6.25 tff(28600,plain,
% 8.41/6.25 (~until2p7(s141)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28599, 28598])).
% 8.41/6.25 tff(28601,plain,
% 8.41/6.25 (~xuntil2p8(s140)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24894, 28600])).
% 8.41/6.25 tff(28602,assumption,(~node4(s140)), introduced(assumption)).
% 8.41/6.25 tff(28603,plain,
% 8.41/6.25 (xuntil2p8(s140) | (~until2p7(s140))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24898, 22704, 28602])).
% 8.41/6.25 tff(28604,plain,
% 8.41/6.25 (~until2p7(s140)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28603, 28601])).
% 8.41/6.25 tff(28605,plain,
% 8.41/6.25 (~xuntil2p8(s139)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24904, 28604])).
% 8.41/6.25 tff(28606,assumption,(~node4(s139)), introduced(assumption)).
% 8.41/6.25 tff(28607,plain,
% 8.41/6.25 (xuntil2p8(s139) | (~until2p7(s139))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24908, 22704, 28606])).
% 8.41/6.25 tff(28608,plain,
% 8.41/6.25 (~until2p7(s139)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28607, 28605])).
% 8.41/6.25 tff(28609,plain,
% 8.41/6.25 (~xuntil2p8(s138)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24914, 28608])).
% 8.41/6.25 tff(28610,plain,
% 8.41/6.25 (xuntil2p8(s138) | (~until2p7(s138))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24918, 22704, 18632])).
% 8.41/6.25 tff(28611,plain,
% 8.41/6.25 (~until2p7(s138)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28610, 28609])).
% 8.41/6.25 tff(28612,plain,
% 8.41/6.25 (~xuntil2p8(s137)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24924, 28611])).
% 8.41/6.25 tff(28613,assumption,(~node4(s137)), introduced(assumption)).
% 8.41/6.25 tff(28614,plain,
% 8.41/6.25 (xuntil2p8(s137) | (~until2p7(s137))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24928, 22704, 28613])).
% 8.41/6.25 tff(28615,plain,
% 8.41/6.25 (~until2p7(s137)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28614, 28612])).
% 8.41/6.25 tff(28616,plain,
% 8.41/6.25 (~xuntil2p8(s136)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24934, 28615])).
% 8.41/6.25 tff(28617,plain,
% 8.41/6.25 (xuntil2p8(s136) | (~until2p7(s136))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24938, 22704, 18624])).
% 8.41/6.25 tff(28618,plain,
% 8.41/6.25 (~until2p7(s136)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28617, 28616])).
% 8.41/6.25 tff(28619,plain,
% 8.41/6.25 (~xuntil2p8(s135)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24944, 28618])).
% 8.41/6.25 tff(28620,plain,
% 8.41/6.25 (xuntil2p8(s135) | (~until2p7(s135))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24948, 22704, 18620])).
% 8.41/6.25 tff(28621,plain,
% 8.41/6.25 (~until2p7(s135)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28620, 28619])).
% 8.41/6.25 tff(28622,plain,
% 8.41/6.25 (~xuntil2p8(s134)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24954, 28621])).
% 8.41/6.25 tff(28623,plain,
% 8.41/6.25 (xuntil2p8(s134) | (~until2p7(s134))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[24958, 22704, 18616])).
% 8.41/6.25 tff(28624,plain,
% 8.41/6.25 (~until2p7(s134)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28623, 28622])).
% 8.41/6.25 tff(28625,plain,
% 8.41/6.25 (~xuntil2p8(s133)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25008, 28624])).
% 8.41/6.25 tff(28626,assumption,(~node4(s133)), introduced(assumption)).
% 8.41/6.25 tff(28627,plain,
% 8.41/6.25 (xuntil2p8(s133) | (~until2p7(s133))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25012, 22704, 28626])).
% 8.41/6.25 tff(28628,plain,
% 8.41/6.25 (~until2p7(s133)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28627, 28625])).
% 8.41/6.25 tff(28629,plain,
% 8.41/6.25 (~xuntil2p8(s132)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25018, 28628])).
% 8.41/6.25 tff(28630,plain,
% 8.41/6.25 (xuntil2p8(s132) | (~until2p7(s132))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25022, 22704, 18610])).
% 8.41/6.25 tff(28631,plain,
% 8.41/6.25 (~until2p7(s132)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28630, 28629])).
% 8.41/6.25 tff(28632,plain,
% 8.41/6.25 (~xuntil2p8(s131)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25028, 28631])).
% 8.41/6.25 tff(28633,assumption,(~node4(s131)), introduced(assumption)).
% 8.41/6.25 tff(28634,plain,
% 8.41/6.25 (xuntil2p8(s131) | (~until2p7(s131))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25032, 22704, 28633])).
% 8.41/6.25 tff(28635,plain,
% 8.41/6.25 (~until2p7(s131)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28634, 28632])).
% 8.41/6.25 tff(28636,plain,
% 8.41/6.25 (~xuntil2p8(s130)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25038, 28635])).
% 8.41/6.25 tff(28637,plain,
% 8.41/6.25 (xuntil2p8(s130) | (~until2p7(s130))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25042, 22704, 18602])).
% 8.41/6.25 tff(28638,plain,
% 8.41/6.25 (~until2p7(s130)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28637, 28636])).
% 8.41/6.25 tff(28639,plain,
% 8.41/6.25 (~xuntil2p8(s129)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25048, 28638])).
% 8.41/6.25 tff(28640,assumption,(~node4(s129)), introduced(assumption)).
% 8.41/6.25 tff(28641,plain,
% 8.41/6.25 (xuntil2p8(s129) | (~until2p7(s129))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25052, 22704, 28640])).
% 8.41/6.25 tff(28642,plain,
% 8.41/6.25 (~until2p7(s129)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28641, 28639])).
% 8.41/6.25 tff(28643,plain,
% 8.41/6.25 (~xuntil2p8(s128)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25058, 28642])).
% 8.41/6.25 tff(28644,assumption,(~node4(s128)), introduced(assumption)).
% 8.41/6.25 tff(28645,plain,
% 8.41/6.25 (xuntil2p8(s128) | (~until2p7(s128))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25062, 22704, 28644])).
% 8.41/6.25 tff(28646,plain,
% 8.41/6.25 (~until2p7(s128)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28645, 28643])).
% 8.41/6.25 tff(28647,plain,
% 8.41/6.25 (~xuntil2p8(s127)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25068, 28646])).
% 8.41/6.25 tff(28648,plain,
% 8.41/6.25 (xuntil2p8(s127) | (~until2p7(s127))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25072, 22704, 18590])).
% 8.41/6.25 tff(28649,plain,
% 8.41/6.25 (~until2p7(s127)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28648, 28647])).
% 8.41/6.25 tff(28650,plain,
% 8.41/6.25 (~xuntil2p8(s126)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25078, 28649])).
% 8.41/6.25 tff(28651,plain,
% 8.41/6.25 (xuntil2p8(s126) | (~until2p7(s126))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25082, 22704, 18586])).
% 8.41/6.25 tff(28652,plain,
% 8.41/6.25 (~until2p7(s126)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28651, 28650])).
% 8.41/6.25 tff(28653,plain,
% 8.41/6.25 (~xuntil2p8(s125)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25088, 28652])).
% 8.41/6.25 tff(28654,plain,
% 8.41/6.25 (xuntil2p8(s125) | (~until2p7(s125))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25092, 22704, 18582])).
% 8.41/6.25 tff(28655,plain,
% 8.41/6.25 (~until2p7(s125)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28654, 28653])).
% 8.41/6.25 tff(28656,plain,
% 8.41/6.25 (~xuntil2p8(s124)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25098, 28655])).
% 8.41/6.25 tff(28657,plain,
% 8.41/6.25 (xuntil2p8(s124) | (~until2p7(s124))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25102, 22704, 18578])).
% 8.41/6.25 tff(28658,plain,
% 8.41/6.25 (~until2p7(s124)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28657, 28656])).
% 8.41/6.25 tff(28659,plain,
% 8.41/6.25 (~xuntil2p8(s123)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25108, 28658])).
% 8.41/6.25 tff(28660,plain,
% 8.41/6.25 (xuntil2p8(s123) | (~until2p7(s123))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25112, 22704, 18574])).
% 8.41/6.25 tff(28661,plain,
% 8.41/6.25 (~until2p7(s123)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28660, 28659])).
% 8.41/6.25 tff(28662,plain,
% 8.41/6.25 (~xuntil2p8(s122)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25118, 28661])).
% 8.41/6.25 tff(28663,assumption,(~node4(s122)), introduced(assumption)).
% 8.41/6.25 tff(28664,plain,
% 8.41/6.25 (xuntil2p8(s122) | (~until2p7(s122))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25122, 22704, 28663])).
% 8.41/6.25 tff(28665,plain,
% 8.41/6.25 (~until2p7(s122)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28664, 28662])).
% 8.41/6.25 tff(28666,plain,
% 8.41/6.25 (~xuntil2p8(s121)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25128, 28665])).
% 8.41/6.25 tff(28667,plain,
% 8.41/6.25 (xuntil2p8(s121) | (~until2p7(s121))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25132, 22704, 18566])).
% 8.41/6.25 tff(28668,plain,
% 8.41/6.25 (~until2p7(s121)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28667, 28666])).
% 8.41/6.25 tff(28669,plain,
% 8.41/6.25 (~xuntil2p8(s120)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25138, 28668])).
% 8.41/6.25 tff(28670,assumption,(~node4(s120)), introduced(assumption)).
% 8.41/6.25 tff(28671,plain,
% 8.41/6.25 (xuntil2p8(s120) | (~until2p7(s120))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25142, 22704, 28670])).
% 8.41/6.25 tff(28672,plain,
% 8.41/6.25 (~until2p7(s120)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28671, 28669])).
% 8.41/6.25 tff(28673,plain,
% 8.41/6.25 (~xuntil2p8(s119)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25148, 28672])).
% 8.41/6.25 tff(28674,plain,
% 8.41/6.25 (xuntil2p8(s119) | (~until2p7(s119))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25152, 22704, 18558])).
% 8.41/6.25 tff(28675,plain,
% 8.41/6.25 (~until2p7(s119)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28674, 28673])).
% 8.41/6.25 tff(28676,plain,
% 8.41/6.25 (~xuntil2p8(s118)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25158, 28675])).
% 8.41/6.25 tff(28677,plain,
% 8.41/6.25 (xuntil2p8(s118) | (~until2p7(s118))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25162, 22704, 18554])).
% 8.41/6.25 tff(28678,plain,
% 8.41/6.25 (~until2p7(s118)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28677, 28676])).
% 8.41/6.25 tff(28679,plain,
% 8.41/6.25 (~xuntil2p8(s117)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25168, 28678])).
% 8.41/6.25 tff(28680,plain,
% 8.41/6.25 (xuntil2p8(s117) | (~until2p7(s117))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25172, 22704, 18550])).
% 8.41/6.25 tff(28681,plain,
% 8.41/6.25 (~until2p7(s117)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28680, 28679])).
% 8.41/6.25 tff(28682,plain,
% 8.41/6.25 (~xuntil2p8(s116)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25178, 28681])).
% 8.41/6.25 tff(28683,assumption,(~node4(s116)), introduced(assumption)).
% 8.41/6.25 tff(28684,plain,
% 8.41/6.25 (xuntil2p8(s116) | (~until2p7(s116))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25182, 22704, 28683])).
% 8.41/6.25 tff(28685,plain,
% 8.41/6.25 (~until2p7(s116)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28684, 28682])).
% 8.41/6.25 tff(28686,plain,
% 8.41/6.25 (~xuntil2p8(s115)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25188, 28685])).
% 8.41/6.25 tff(28687,plain,
% 8.41/6.25 (xuntil2p8(s115) | (~until2p7(s115))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25192, 22704, 18542])).
% 8.41/6.25 tff(28688,plain,
% 8.41/6.25 (~until2p7(s115)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28687, 28686])).
% 8.41/6.25 tff(28689,plain,
% 8.41/6.25 (~xuntil2p8(s114)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25198, 28688])).
% 8.41/6.25 tff(28690,assumption,(~node4(s114)), introduced(assumption)).
% 8.41/6.25 tff(28691,plain,
% 8.41/6.25 (xuntil2p8(s114) | (~until2p7(s114))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25202, 22704, 28690])).
% 8.41/6.25 tff(28692,plain,
% 8.41/6.25 (~until2p7(s114)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28691, 28689])).
% 8.41/6.25 tff(28693,plain,
% 8.41/6.25 (~xuntil2p8(s113)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25208, 28692])).
% 8.41/6.25 tff(28694,assumption,(~node4(s113)), introduced(assumption)).
% 8.41/6.25 tff(28695,plain,
% 8.41/6.25 (xuntil2p8(s113) | (~until2p7(s113))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25212, 22704, 28694])).
% 8.41/6.25 tff(28696,plain,
% 8.41/6.25 (~until2p7(s113)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28695, 28693])).
% 8.41/6.25 tff(28697,plain,
% 8.41/6.25 (~xuntil2p8(s112)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25218, 28696])).
% 8.41/6.25 tff(28698,assumption,(~node4(s112)), introduced(assumption)).
% 8.41/6.25 tff(28699,plain,
% 8.41/6.25 (xuntil2p8(s112) | (~until2p7(s112))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25222, 22704, 28698])).
% 8.41/6.25 tff(28700,plain,
% 8.41/6.25 (~until2p7(s112)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28699, 28697])).
% 8.41/6.25 tff(28701,plain,
% 8.41/6.25 (~xuntil2p8(s111)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25228, 28700])).
% 8.41/6.25 tff(28702,assumption,(~node4(s111)), introduced(assumption)).
% 8.41/6.25 tff(28703,plain,
% 8.41/6.25 (xuntil2p8(s111) | (~until2p7(s111))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25232, 22704, 28702])).
% 8.41/6.25 tff(28704,plain,
% 8.41/6.25 (~until2p7(s111)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28703, 28701])).
% 8.41/6.25 tff(28705,plain,
% 8.41/6.25 (~xuntil2p8(s110)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25238, 28704])).
% 8.41/6.25 tff(28706,plain,
% 8.41/6.25 (xuntil2p8(s110) | (~until2p7(s110))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25242, 22704, 18522])).
% 8.41/6.25 tff(28707,plain,
% 8.41/6.25 (~until2p7(s110)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28706, 28705])).
% 8.41/6.25 tff(28708,plain,
% 8.41/6.25 (~xuntil2p8(s109)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25248, 28707])).
% 8.41/6.25 tff(28709,plain,
% 8.41/6.25 (xuntil2p8(s109) | (~until2p7(s109))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25252, 22704, 18518])).
% 8.41/6.25 tff(28710,plain,
% 8.41/6.25 (~until2p7(s109)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28709, 28708])).
% 8.41/6.25 tff(28711,plain,
% 8.41/6.25 (~xuntil2p8(s108)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25258, 28710])).
% 8.41/6.25 tff(28712,assumption,(~node4(s108)), introduced(assumption)).
% 8.41/6.25 tff(28713,plain,
% 8.41/6.25 (xuntil2p8(s108) | (~until2p7(s108))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25262, 22704, 28712])).
% 8.41/6.25 tff(28714,plain,
% 8.41/6.25 (~until2p7(s108)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[28713, 28711])).
% 8.41/6.25 tff(28715,plain,
% 8.41/6.25 (~xuntil2p8(s107)),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25268, 28714])).
% 8.41/6.25 tff(28716,assumption,(~node4(s107)), introduced(assumption)).
% 8.41/6.25 tff(28717,plain,
% 8.41/6.25 (xuntil2p8(s107) | (~until2p7(s107))),
% 8.41/6.25 inference(unit_resolution,[status(thm)],[25272, 22704, 28716])).
% 8.41/6.26 tff(28718,plain,
% 8.41/6.26 (~until2p7(s107)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28717, 28715])).
% 8.41/6.26 tff(28719,plain,
% 8.41/6.26 (~xuntil2p8(s106)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25278, 28718])).
% 8.41/6.26 tff(28720,plain,
% 8.41/6.26 (xuntil2p8(s106) | (~until2p7(s106))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25282, 22704, 18506])).
% 8.41/6.26 tff(28721,plain,
% 8.41/6.26 (~until2p7(s106)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28720, 28719])).
% 8.41/6.26 tff(28722,plain,
% 8.41/6.26 (~xuntil2p8(s105)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25288, 28721])).
% 8.41/6.26 tff(28723,assumption,(~node4(s105)), introduced(assumption)).
% 8.41/6.26 tff(28724,plain,
% 8.41/6.26 (xuntil2p8(s105) | (~until2p7(s105))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25292, 22704, 28723])).
% 8.41/6.26 tff(28725,plain,
% 8.41/6.26 (~until2p7(s105)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28724, 28722])).
% 8.41/6.26 tff(28726,plain,
% 8.41/6.26 (~xuntil2p8(s104)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25298, 28725])).
% 8.41/6.26 tff(28727,plain,
% 8.41/6.26 (xuntil2p8(s104) | (~until2p7(s104))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25302, 22704, 18498])).
% 8.41/6.26 tff(28728,plain,
% 8.41/6.26 (~until2p7(s104)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28727, 28726])).
% 8.41/6.26 tff(28729,plain,
% 8.41/6.26 (~xuntil2p8(s103)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25308, 28728])).
% 8.41/6.26 tff(28730,plain,
% 8.41/6.26 (xuntil2p8(s103) | (~until2p7(s103))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25312, 22704, 18494])).
% 8.41/6.26 tff(28731,plain,
% 8.41/6.26 (~until2p7(s103)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28730, 28729])).
% 8.41/6.26 tff(28732,plain,
% 8.41/6.26 (~xuntil2p8(s102)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25318, 28731])).
% 8.41/6.26 tff(28733,assumption,(~node4(s102)), introduced(assumption)).
% 8.41/6.26 tff(28734,plain,
% 8.41/6.26 (xuntil2p8(s102) | (~until2p7(s102))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25322, 22704, 28733])).
% 8.41/6.26 tff(28735,plain,
% 8.41/6.26 (~until2p7(s102)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28734, 28732])).
% 8.41/6.26 tff(28736,plain,
% 8.41/6.26 (~xuntil2p8(s101)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25328, 28735])).
% 8.41/6.26 tff(28737,plain,
% 8.41/6.26 (xuntil2p8(s101) | (~until2p7(s101))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25332, 22704, 18486])).
% 8.41/6.26 tff(28738,plain,
% 8.41/6.26 (~until2p7(s101)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28737, 28736])).
% 8.41/6.26 tff(28739,plain,
% 8.41/6.26 (~xuntil2p8(s100)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25338, 28738])).
% 8.41/6.26 tff(28740,assumption,(~node4(s100)), introduced(assumption)).
% 8.41/6.26 tff(28741,plain,
% 8.41/6.26 (xuntil2p8(s100) | (~until2p7(s100))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25342, 22704, 28740])).
% 8.41/6.26 tff(28742,plain,
% 8.41/6.26 (~until2p7(s100)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28741, 28739])).
% 8.41/6.26 tff(28743,plain,
% 8.41/6.26 (~xuntil2p8(s99)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25348, 28742])).
% 8.41/6.26 tff(28744,assumption,(~node4(s99)), introduced(assumption)).
% 8.41/6.26 tff(28745,plain,
% 8.41/6.26 (xuntil2p8(s99) | (~until2p7(s99))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25352, 22704, 28744])).
% 8.41/6.26 tff(28746,plain,
% 8.41/6.26 (~until2p7(s99)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28745, 28743])).
% 8.41/6.26 tff(28747,plain,
% 8.41/6.26 (~xuntil2p8(s98)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25358, 28746])).
% 8.41/6.26 tff(28748,assumption,(~node4(s98)), introduced(assumption)).
% 8.41/6.26 tff(28749,plain,
% 8.41/6.26 (xuntil2p8(s98) | (~until2p7(s98))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25362, 22704, 28748])).
% 8.41/6.26 tff(28750,plain,
% 8.41/6.26 (~until2p7(s98)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28749, 28747])).
% 8.41/6.26 tff(28751,plain,
% 8.41/6.26 (~xuntil2p8(s97)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25368, 28750])).
% 8.41/6.26 tff(28752,plain,
% 8.41/6.26 (xuntil2p8(s97) | (~until2p7(s97))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25372, 22704, 18470])).
% 8.41/6.26 tff(28753,plain,
% 8.41/6.26 (~until2p7(s97)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28752, 28751])).
% 8.41/6.26 tff(28754,plain,
% 8.41/6.26 (~xuntil2p8(s96)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25378, 28753])).
% 8.41/6.26 tff(28755,assumption,(~node4(s96)), introduced(assumption)).
% 8.41/6.26 tff(28756,plain,
% 8.41/6.26 (xuntil2p8(s96) | (~until2p7(s96))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25382, 22704, 28755])).
% 8.41/6.26 tff(28757,plain,
% 8.41/6.26 (~until2p7(s96)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28756, 28754])).
% 8.41/6.26 tff(28758,plain,
% 8.41/6.26 (~xuntil2p8(s95)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25388, 28757])).
% 8.41/6.26 tff(28759,plain,
% 8.41/6.26 (xuntil2p8(s95) | (~until2p7(s95))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25392, 22704, 18462])).
% 8.41/6.26 tff(28760,plain,
% 8.41/6.26 (~until2p7(s95)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28759, 28758])).
% 8.41/6.26 tff(28761,plain,
% 8.41/6.26 (~xuntil2p8(s94)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25398, 28760])).
% 8.41/6.26 tff(28762,plain,
% 8.41/6.26 (xuntil2p8(s94) | (~until2p7(s94))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25402, 22704, 18454])).
% 8.41/6.26 tff(28763,plain,
% 8.41/6.26 (~until2p7(s94)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28762, 28761])).
% 8.41/6.26 tff(28764,plain,
% 8.41/6.26 (~xuntil2p8(s93)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25408, 28763])).
% 8.41/6.26 tff(28765,assumption,(~node4(s93)), introduced(assumption)).
% 8.41/6.26 tff(28766,plain,
% 8.41/6.26 (xuntil2p8(s93) | (~until2p7(s93))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25412, 22704, 28765])).
% 8.41/6.26 tff(28767,plain,
% 8.41/6.26 (~until2p7(s93)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28766, 28764])).
% 8.41/6.26 tff(28768,plain,
% 8.41/6.26 (~xuntil2p8(s92)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25418, 28767])).
% 8.41/6.26 tff(28769,plain,
% 8.41/6.26 (xuntil2p8(s92) | (~until2p7(s92))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25422, 22704, 6194])).
% 8.41/6.26 tff(28770,plain,
% 8.41/6.26 (~until2p7(s92)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28769, 28768])).
% 8.41/6.26 tff(28771,plain,
% 8.41/6.26 (~xuntil2p8(s91)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25428, 28770])).
% 8.41/6.26 tff(28772,assumption,(~node4(s91)), introduced(assumption)).
% 8.41/6.26 tff(28773,plain,
% 8.41/6.26 (xuntil2p8(s91) | (~until2p7(s91))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25432, 22704, 28772])).
% 8.41/6.26 tff(28774,plain,
% 8.41/6.26 (~until2p7(s91)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28773, 28771])).
% 8.41/6.26 tff(28775,plain,
% 8.41/6.26 (~xuntil2p8(s90)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25438, 28774])).
% 8.41/6.26 tff(28776,assumption,(~node4(s90)), introduced(assumption)).
% 8.41/6.26 tff(28777,plain,
% 8.41/6.26 (xuntil2p8(s90) | (~until2p7(s90))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25442, 22704, 28776])).
% 8.41/6.26 tff(28778,plain,
% 8.41/6.26 (~until2p7(s90)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28777, 28775])).
% 8.41/6.26 tff(28779,plain,
% 8.41/6.26 (~xuntil2p8(s89)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25448, 28778])).
% 8.41/6.26 tff(28780,assumption,(~node4(s89)), introduced(assumption)).
% 8.41/6.26 tff(28781,plain,
% 8.41/6.26 (xuntil2p8(s89) | (~until2p7(s89))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25452, 22704, 28780])).
% 8.41/6.26 tff(28782,plain,
% 8.41/6.26 (~until2p7(s89)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28781, 28779])).
% 8.41/6.26 tff(28783,plain,
% 8.41/6.26 (~xuntil2p8(s88)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25458, 28782])).
% 8.41/6.26 tff(28784,assumption,(~node4(s88)), introduced(assumption)).
% 8.41/6.26 tff(28785,plain,
% 8.41/6.26 (xuntil2p8(s88) | (~until2p7(s88))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25462, 22704, 28784])).
% 8.41/6.26 tff(28786,plain,
% 8.41/6.26 (~until2p7(s88)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28785, 28783])).
% 8.41/6.26 tff(28787,plain,
% 8.41/6.26 (~xuntil2p8(s87)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25468, 28786])).
% 8.41/6.26 tff(28788,assumption,(~node4(s87)), introduced(assumption)).
% 8.41/6.26 tff(28789,plain,
% 8.41/6.26 (xuntil2p8(s87) | (~until2p7(s87))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25472, 22704, 28788])).
% 8.41/6.26 tff(28790,plain,
% 8.41/6.26 (~until2p7(s87)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28789, 28787])).
% 8.41/6.26 tff(28791,plain,
% 8.41/6.26 (~xuntil2p8(s86)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25478, 28790])).
% 8.41/6.26 tff(28792,assumption,(~node4(s86)), introduced(assumption)).
% 8.41/6.26 tff(28793,plain,
% 8.41/6.26 (xuntil2p8(s86) | (~until2p7(s86))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25482, 22704, 28792])).
% 8.41/6.26 tff(28794,plain,
% 8.41/6.26 (~until2p7(s86)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28793, 28791])).
% 8.41/6.26 tff(28795,plain,
% 8.41/6.26 (~xuntil2p8(s85)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25488, 28794])).
% 8.41/6.26 tff(28796,assumption,(~node4(s85)), introduced(assumption)).
% 8.41/6.26 tff(28797,plain,
% 8.41/6.26 (xuntil2p8(s85) | (~until2p7(s85))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25492, 22704, 28796])).
% 8.41/6.26 tff(28798,plain,
% 8.41/6.26 (~until2p7(s85)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28797, 28795])).
% 8.41/6.26 tff(28799,plain,
% 8.41/6.26 (~xuntil2p8(s84)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25498, 28798])).
% 8.41/6.26 tff(28800,assumption,(~node4(s84)), introduced(assumption)).
% 8.41/6.26 tff(28801,plain,
% 8.41/6.26 (xuntil2p8(s84) | (~until2p7(s84))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25502, 22704, 28800])).
% 8.41/6.26 tff(28802,plain,
% 8.41/6.26 (~until2p7(s84)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28801, 28799])).
% 8.41/6.26 tff(28803,plain,
% 8.41/6.26 (~xuntil2p8(s83)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25508, 28802])).
% 8.41/6.26 tff(28804,assumption,(~node4(s83)), introduced(assumption)).
% 8.41/6.26 tff(28805,plain,
% 8.41/6.26 (xuntil2p8(s83) | (~until2p7(s83))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25512, 22704, 28804])).
% 8.41/6.26 tff(28806,plain,
% 8.41/6.26 (~until2p7(s83)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28805, 28803])).
% 8.41/6.26 tff(28807,plain,
% 8.41/6.26 (~xuntil2p8(s82)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25518, 28806])).
% 8.41/6.26 tff(28808,assumption,(~node4(s82)), introduced(assumption)).
% 8.41/6.26 tff(28809,plain,
% 8.41/6.26 (xuntil2p8(s82) | (~until2p7(s82))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25522, 22704, 28808])).
% 8.41/6.26 tff(28810,plain,
% 8.41/6.26 (~until2p7(s82)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28809, 28807])).
% 8.41/6.26 tff(28811,plain,
% 8.41/6.26 (~xuntil2p8(s81)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25528, 28810])).
% 8.41/6.26 tff(28812,assumption,(~node4(s81)), introduced(assumption)).
% 8.41/6.26 tff(28813,plain,
% 8.41/6.26 (xuntil2p8(s81) | (~until2p7(s81))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25532, 22704, 28812])).
% 8.41/6.26 tff(28814,plain,
% 8.41/6.26 (~until2p7(s81)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28813, 28811])).
% 8.41/6.26 tff(28815,plain,
% 8.41/6.26 (~xuntil2p8(s80)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25538, 28814])).
% 8.41/6.26 tff(28816,assumption,(~node4(s80)), introduced(assumption)).
% 8.41/6.26 tff(28817,plain,
% 8.41/6.26 (xuntil2p8(s80) | (~until2p7(s80))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25542, 22704, 28816])).
% 8.41/6.26 tff(28818,plain,
% 8.41/6.26 (~until2p7(s80)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28817, 28815])).
% 8.41/6.26 tff(28819,plain,
% 8.41/6.26 (~xuntil2p8(s79)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25548, 28818])).
% 8.41/6.26 tff(28820,assumption,(~node4(s79)), introduced(assumption)).
% 8.41/6.26 tff(28821,plain,
% 8.41/6.26 (xuntil2p8(s79) | (~until2p7(s79))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25552, 22704, 28820])).
% 8.41/6.26 tff(28822,plain,
% 8.41/6.26 (~until2p7(s79)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28821, 28819])).
% 8.41/6.26 tff(28823,plain,
% 8.41/6.26 (~xuntil2p8(s78)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25558, 28822])).
% 8.41/6.26 tff(28824,assumption,(~node4(s78)), introduced(assumption)).
% 8.41/6.26 tff(28825,plain,
% 8.41/6.26 (xuntil2p8(s78) | (~until2p7(s78))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25562, 22704, 28824])).
% 8.41/6.26 tff(28826,plain,
% 8.41/6.26 (~until2p7(s78)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28825, 28823])).
% 8.41/6.26 tff(28827,plain,
% 8.41/6.26 (~xuntil2p8(s77)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25568, 28826])).
% 8.41/6.26 tff(28828,assumption,(~node4(s77)), introduced(assumption)).
% 8.41/6.26 tff(28829,plain,
% 8.41/6.26 (xuntil2p8(s77) | (~until2p7(s77))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25572, 22704, 28828])).
% 8.41/6.26 tff(28830,plain,
% 8.41/6.26 (~until2p7(s77)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28829, 28827])).
% 8.41/6.26 tff(28831,plain,
% 8.41/6.26 (~xuntil2p8(s76)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25578, 28830])).
% 8.41/6.26 tff(28832,assumption,(~node4(s76)), introduced(assumption)).
% 8.41/6.26 tff(28833,plain,
% 8.41/6.26 (xuntil2p8(s76) | (~until2p7(s76))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25582, 22704, 28832])).
% 8.41/6.26 tff(28834,plain,
% 8.41/6.26 (~until2p7(s76)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28833, 28831])).
% 8.41/6.26 tff(28835,plain,
% 8.41/6.26 (~xuntil2p8(s75)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25588, 28834])).
% 8.41/6.26 tff(28836,assumption,(~node4(s75)), introduced(assumption)).
% 8.41/6.26 tff(28837,plain,
% 8.41/6.26 (xuntil2p8(s75) | (~until2p7(s75))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25592, 22704, 28836])).
% 8.41/6.26 tff(28838,plain,
% 8.41/6.26 (~until2p7(s75)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28837, 28835])).
% 8.41/6.26 tff(28839,plain,
% 8.41/6.26 (~xuntil2p8(s74)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25598, 28838])).
% 8.41/6.26 tff(28840,assumption,(~node4(s74)), introduced(assumption)).
% 8.41/6.26 tff(28841,plain,
% 8.41/6.26 (xuntil2p8(s74) | (~until2p7(s74))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25602, 22704, 28840])).
% 8.41/6.26 tff(28842,plain,
% 8.41/6.26 (~until2p7(s74)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28841, 28839])).
% 8.41/6.26 tff(28843,plain,
% 8.41/6.26 (~xuntil2p8(s73)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25608, 28842])).
% 8.41/6.26 tff(28844,assumption,(~node4(s73)), introduced(assumption)).
% 8.41/6.26 tff(28845,plain,
% 8.41/6.26 (xuntil2p8(s73) | (~until2p7(s73))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25612, 22704, 28844])).
% 8.41/6.26 tff(28846,plain,
% 8.41/6.26 (~until2p7(s73)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28845, 28843])).
% 8.41/6.26 tff(28847,plain,
% 8.41/6.26 (~xuntil2p8(s72)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25618, 28846])).
% 8.41/6.26 tff(28848,assumption,(~node4(s72)), introduced(assumption)).
% 8.41/6.26 tff(28849,plain,
% 8.41/6.26 (xuntil2p8(s72) | (~until2p7(s72))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25622, 22704, 28848])).
% 8.41/6.26 tff(28850,plain,
% 8.41/6.26 (~until2p7(s72)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28849, 28847])).
% 8.41/6.26 tff(28851,plain,
% 8.41/6.26 (~xuntil2p8(s71)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25628, 28850])).
% 8.41/6.26 tff(28852,assumption,(~node4(s71)), introduced(assumption)).
% 8.41/6.26 tff(28853,plain,
% 8.41/6.26 (xuntil2p8(s71) | (~until2p7(s71))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25632, 22704, 28852])).
% 8.41/6.26 tff(28854,plain,
% 8.41/6.26 (~until2p7(s71)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28853, 28851])).
% 8.41/6.26 tff(28855,plain,
% 8.41/6.26 (~xuntil2p8(s70)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25638, 28854])).
% 8.41/6.26 tff(28856,assumption,(~node4(s70)), introduced(assumption)).
% 8.41/6.26 tff(28857,plain,
% 8.41/6.26 (xuntil2p8(s70) | (~until2p7(s70))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25642, 22704, 28856])).
% 8.41/6.26 tff(28858,plain,
% 8.41/6.26 (~until2p7(s70)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28857, 28855])).
% 8.41/6.26 tff(28859,plain,
% 8.41/6.26 (~xuntil2p8(s69)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25648, 28858])).
% 8.41/6.26 tff(28860,assumption,(~node4(s69)), introduced(assumption)).
% 8.41/6.26 tff(28861,plain,
% 8.41/6.26 (xuntil2p8(s69) | (~until2p7(s69))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25652, 22704, 28860])).
% 8.41/6.26 tff(28862,plain,
% 8.41/6.26 (~until2p7(s69)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28861, 28859])).
% 8.41/6.26 tff(28863,plain,
% 8.41/6.26 (~xuntil2p8(s68)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25658, 28862])).
% 8.41/6.26 tff(28864,assumption,(~node4(s68)), introduced(assumption)).
% 8.41/6.26 tff(28865,plain,
% 8.41/6.26 (xuntil2p8(s68) | (~until2p7(s68))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25662, 22704, 28864])).
% 8.41/6.26 tff(28866,plain,
% 8.41/6.26 (~until2p7(s68)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28865, 28863])).
% 8.41/6.26 tff(28867,plain,
% 8.41/6.26 (~xuntil2p8(s67)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25668, 28866])).
% 8.41/6.26 tff(28868,assumption,(~node4(s67)), introduced(assumption)).
% 8.41/6.26 tff(28869,plain,
% 8.41/6.26 (xuntil2p8(s67) | (~until2p7(s67))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25672, 22704, 28868])).
% 8.41/6.26 tff(28870,plain,
% 8.41/6.26 (~until2p7(s67)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28869, 28867])).
% 8.41/6.26 tff(28871,plain,
% 8.41/6.26 (~xuntil2p8(s66)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25678, 28870])).
% 8.41/6.26 tff(28872,assumption,(~node4(s66)), introduced(assumption)).
% 8.41/6.26 tff(28873,plain,
% 8.41/6.26 (xuntil2p8(s66) | (~until2p7(s66))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25682, 22704, 28872])).
% 8.41/6.26 tff(28874,plain,
% 8.41/6.26 (~until2p7(s66)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28873, 28871])).
% 8.41/6.26 tff(28875,plain,
% 8.41/6.26 (~xuntil2p8(s65)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25688, 28874])).
% 8.41/6.26 tff(28876,assumption,(~node4(s65)), introduced(assumption)).
% 8.41/6.26 tff(28877,plain,
% 8.41/6.26 (xuntil2p8(s65) | (~until2p7(s65))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25692, 22704, 28876])).
% 8.41/6.26 tff(28878,plain,
% 8.41/6.26 (~until2p7(s65)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28877, 28875])).
% 8.41/6.26 tff(28879,plain,
% 8.41/6.26 (~xuntil2p8(s64)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25698, 28878])).
% 8.41/6.26 tff(28880,assumption,(~node4(s64)), introduced(assumption)).
% 8.41/6.26 tff(28881,plain,
% 8.41/6.26 (xuntil2p8(s64) | (~until2p7(s64))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25702, 22704, 28880])).
% 8.41/6.26 tff(28882,plain,
% 8.41/6.26 (~until2p7(s64)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28881, 28879])).
% 8.41/6.26 tff(28883,plain,
% 8.41/6.26 (~xuntil2p8(s63)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25708, 28882])).
% 8.41/6.26 tff(28884,assumption,(~node4(s63)), introduced(assumption)).
% 8.41/6.26 tff(28885,plain,
% 8.41/6.26 (xuntil2p8(s63) | (~until2p7(s63))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25712, 22704, 28884])).
% 8.41/6.26 tff(28886,plain,
% 8.41/6.26 (~until2p7(s63)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28885, 28883])).
% 8.41/6.26 tff(28887,plain,
% 8.41/6.26 (~xuntil2p8(s62)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25718, 28886])).
% 8.41/6.26 tff(28888,assumption,(~node4(s62)), introduced(assumption)).
% 8.41/6.26 tff(28889,plain,
% 8.41/6.26 (xuntil2p8(s62) | (~until2p7(s62))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25722, 22704, 28888])).
% 8.41/6.26 tff(28890,plain,
% 8.41/6.26 (~until2p7(s62)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28889, 28887])).
% 8.41/6.26 tff(28891,plain,
% 8.41/6.26 (~xuntil2p8(s61)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25739, 28890])).
% 8.41/6.26 tff(28892,assumption,(~node4(s61)), introduced(assumption)).
% 8.41/6.26 tff(28893,plain,
% 8.41/6.26 (xuntil2p8(s61) | (~until2p7(s61))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25743, 22704, 28892])).
% 8.41/6.26 tff(28894,plain,
% 8.41/6.26 (~until2p7(s61)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28893, 28891])).
% 8.41/6.26 tff(28895,plain,
% 8.41/6.26 (~xuntil2p8(s60)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25749, 28894])).
% 8.41/6.26 tff(28896,assumption,(~node4(s60)), introduced(assumption)).
% 8.41/6.26 tff(28897,plain,
% 8.41/6.26 (xuntil2p8(s60) | (~until2p7(s60))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25753, 22704, 28896])).
% 8.41/6.26 tff(28898,plain,
% 8.41/6.26 (~until2p7(s60)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28897, 28895])).
% 8.41/6.26 tff(28899,plain,
% 8.41/6.26 (~xuntil2p8(s59)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25759, 28898])).
% 8.41/6.26 tff(28900,assumption,(~node4(s59)), introduced(assumption)).
% 8.41/6.26 tff(28901,plain,
% 8.41/6.26 (xuntil2p8(s59) | (~until2p7(s59))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25763, 22704, 28900])).
% 8.41/6.26 tff(28902,plain,
% 8.41/6.26 (~until2p7(s59)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28901, 28899])).
% 8.41/6.26 tff(28903,plain,
% 8.41/6.26 (~xuntil2p8(s58)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25769, 28902])).
% 8.41/6.26 tff(28904,assumption,(~node4(s58)), introduced(assumption)).
% 8.41/6.26 tff(28905,plain,
% 8.41/6.26 (xuntil2p8(s58) | (~until2p7(s58))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25773, 22704, 28904])).
% 8.41/6.26 tff(28906,plain,
% 8.41/6.26 (~until2p7(s58)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28905, 28903])).
% 8.41/6.26 tff(28907,plain,
% 8.41/6.26 (~xuntil2p8(s57)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25779, 28906])).
% 8.41/6.26 tff(28908,assumption,(~node4(s57)), introduced(assumption)).
% 8.41/6.26 tff(28909,plain,
% 8.41/6.26 (xuntil2p8(s57) | (~until2p7(s57))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25783, 22704, 28908])).
% 8.41/6.26 tff(28910,plain,
% 8.41/6.26 (~until2p7(s57)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28909, 28907])).
% 8.41/6.26 tff(28911,plain,
% 8.41/6.26 (~xuntil2p8(s56)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25789, 28910])).
% 8.41/6.26 tff(28912,assumption,(~node4(s56)), introduced(assumption)).
% 8.41/6.26 tff(28913,plain,
% 8.41/6.26 (xuntil2p8(s56) | (~until2p7(s56))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25793, 22704, 28912])).
% 8.41/6.26 tff(28914,plain,
% 8.41/6.26 (~until2p7(s56)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28913, 28911])).
% 8.41/6.26 tff(28915,plain,
% 8.41/6.26 (~xuntil2p8(s55)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25799, 28914])).
% 8.41/6.26 tff(28916,assumption,(~node4(s55)), introduced(assumption)).
% 8.41/6.26 tff(28917,plain,
% 8.41/6.26 (xuntil2p8(s55) | (~until2p7(s55))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25803, 22704, 28916])).
% 8.41/6.26 tff(28918,plain,
% 8.41/6.26 (~until2p7(s55)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28917, 28915])).
% 8.41/6.26 tff(28919,plain,
% 8.41/6.26 (~xuntil2p8(s54)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25809, 28918])).
% 8.41/6.26 tff(28920,assumption,(~node4(s54)), introduced(assumption)).
% 8.41/6.26 tff(28921,plain,
% 8.41/6.26 (xuntil2p8(s54) | (~until2p7(s54))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25813, 22704, 28920])).
% 8.41/6.26 tff(28922,plain,
% 8.41/6.26 (~until2p7(s54)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28921, 28919])).
% 8.41/6.26 tff(28923,plain,
% 8.41/6.26 (~xuntil2p8(s53)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25819, 28922])).
% 8.41/6.26 tff(28924,assumption,(~node4(s53)), introduced(assumption)).
% 8.41/6.26 tff(28925,plain,
% 8.41/6.26 (xuntil2p8(s53) | (~until2p7(s53))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25823, 22704, 28924])).
% 8.41/6.26 tff(28926,plain,
% 8.41/6.26 (~until2p7(s53)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28925, 28923])).
% 8.41/6.26 tff(28927,plain,
% 8.41/6.26 (~xuntil2p8(s52)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25829, 28926])).
% 8.41/6.26 tff(28928,assumption,(~node4(s52)), introduced(assumption)).
% 8.41/6.26 tff(28929,plain,
% 8.41/6.26 (xuntil2p8(s52) | (~until2p7(s52))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25833, 22704, 28928])).
% 8.41/6.26 tff(28930,plain,
% 8.41/6.26 (~until2p7(s52)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28929, 28927])).
% 8.41/6.26 tff(28931,plain,
% 8.41/6.26 (~xuntil2p8(s51)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25839, 28930])).
% 8.41/6.26 tff(28932,assumption,(~node4(s51)), introduced(assumption)).
% 8.41/6.26 tff(28933,plain,
% 8.41/6.26 (xuntil2p8(s51) | (~until2p7(s51))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25843, 22704, 28932])).
% 8.41/6.26 tff(28934,plain,
% 8.41/6.26 (~until2p7(s51)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28933, 28931])).
% 8.41/6.26 tff(28935,plain,
% 8.41/6.26 (~xuntil2p8(s50)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25849, 28934])).
% 8.41/6.26 tff(28936,assumption,(~node4(s50)), introduced(assumption)).
% 8.41/6.26 tff(28937,plain,
% 8.41/6.26 (xuntil2p8(s50) | (~until2p7(s50))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25853, 22704, 28936])).
% 8.41/6.26 tff(28938,plain,
% 8.41/6.26 (~until2p7(s50)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28937, 28935])).
% 8.41/6.26 tff(28939,plain,
% 8.41/6.26 (~xuntil2p8(s49)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25859, 28938])).
% 8.41/6.26 tff(28940,assumption,(~node4(s49)), introduced(assumption)).
% 8.41/6.26 tff(28941,plain,
% 8.41/6.26 (xuntil2p8(s49) | (~until2p7(s49))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25863, 22704, 28940])).
% 8.41/6.26 tff(28942,plain,
% 8.41/6.26 (~until2p7(s49)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28941, 28939])).
% 8.41/6.26 tff(28943,plain,
% 8.41/6.26 (~xuntil2p8(s48)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25869, 28942])).
% 8.41/6.26 tff(28944,assumption,(~node4(s48)), introduced(assumption)).
% 8.41/6.26 tff(28945,plain,
% 8.41/6.26 (xuntil2p8(s48) | (~until2p7(s48))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25873, 22704, 28944])).
% 8.41/6.26 tff(28946,plain,
% 8.41/6.26 (~until2p7(s48)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28945, 28943])).
% 8.41/6.26 tff(28947,plain,
% 8.41/6.26 (~xuntil2p8(s47)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25879, 28946])).
% 8.41/6.26 tff(28948,assumption,(~node4(s47)), introduced(assumption)).
% 8.41/6.26 tff(28949,plain,
% 8.41/6.26 (xuntil2p8(s47) | (~until2p7(s47))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25883, 22704, 28948])).
% 8.41/6.26 tff(28950,plain,
% 8.41/6.26 (~until2p7(s47)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28949, 28947])).
% 8.41/6.26 tff(28951,plain,
% 8.41/6.26 (~xuntil2p8(s46)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25889, 28950])).
% 8.41/6.26 tff(28952,assumption,(~node4(s46)), introduced(assumption)).
% 8.41/6.26 tff(28953,plain,
% 8.41/6.26 (xuntil2p8(s46) | (~until2p7(s46))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25893, 22704, 28952])).
% 8.41/6.26 tff(28954,plain,
% 8.41/6.26 (~until2p7(s46)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28953, 28951])).
% 8.41/6.26 tff(28955,plain,
% 8.41/6.26 (~xuntil2p8(s45)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25899, 28954])).
% 8.41/6.26 tff(28956,assumption,(~node4(s45)), introduced(assumption)).
% 8.41/6.26 tff(28957,plain,
% 8.41/6.26 (xuntil2p8(s45) | (~until2p7(s45))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25903, 22704, 28956])).
% 8.41/6.26 tff(28958,plain,
% 8.41/6.26 (~until2p7(s45)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28957, 28955])).
% 8.41/6.26 tff(28959,plain,
% 8.41/6.26 (~xuntil2p8(s44)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25909, 28958])).
% 8.41/6.26 tff(28960,assumption,(~node4(s44)), introduced(assumption)).
% 8.41/6.26 tff(28961,plain,
% 8.41/6.26 (xuntil2p8(s44) | (~until2p7(s44))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25913, 22704, 28960])).
% 8.41/6.26 tff(28962,plain,
% 8.41/6.26 (~until2p7(s44)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28961, 28959])).
% 8.41/6.26 tff(28963,plain,
% 8.41/6.26 (~xuntil2p8(s43)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25919, 28962])).
% 8.41/6.26 tff(28964,assumption,(~node4(s43)), introduced(assumption)).
% 8.41/6.26 tff(28965,plain,
% 8.41/6.26 (xuntil2p8(s43) | (~until2p7(s43))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25923, 22704, 28964])).
% 8.41/6.26 tff(28966,plain,
% 8.41/6.26 (~until2p7(s43)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28965, 28963])).
% 8.41/6.26 tff(28967,plain,
% 8.41/6.26 (~xuntil2p8(s42)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25929, 28966])).
% 8.41/6.26 tff(28968,assumption,(~node4(s42)), introduced(assumption)).
% 8.41/6.26 tff(28969,plain,
% 8.41/6.26 (xuntil2p8(s42) | (~until2p7(s42))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25933, 22704, 28968])).
% 8.41/6.26 tff(28970,plain,
% 8.41/6.26 (~until2p7(s42)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28969, 28967])).
% 8.41/6.26 tff(28971,plain,
% 8.41/6.26 (~xuntil2p8(s41)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25939, 28970])).
% 8.41/6.26 tff(28972,assumption,(~node4(s41)), introduced(assumption)).
% 8.41/6.26 tff(28973,plain,
% 8.41/6.26 (xuntil2p8(s41) | (~until2p7(s41))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25943, 22704, 28972])).
% 8.41/6.26 tff(28974,plain,
% 8.41/6.26 (~until2p7(s41)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28973, 28971])).
% 8.41/6.26 tff(28975,plain,
% 8.41/6.26 (~xuntil2p8(s40)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25949, 28974])).
% 8.41/6.26 tff(28976,assumption,(~node4(s40)), introduced(assumption)).
% 8.41/6.26 tff(28977,plain,
% 8.41/6.26 (xuntil2p8(s40) | (~until2p7(s40))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25953, 22704, 28976])).
% 8.41/6.26 tff(28978,plain,
% 8.41/6.26 (~until2p7(s40)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28977, 28975])).
% 8.41/6.26 tff(28979,plain,
% 8.41/6.26 (~xuntil2p8(s39)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25959, 28978])).
% 8.41/6.26 tff(28980,assumption,(~node4(s39)), introduced(assumption)).
% 8.41/6.26 tff(28981,plain,
% 8.41/6.26 (xuntil2p8(s39) | (~until2p7(s39))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25963, 22704, 28980])).
% 8.41/6.26 tff(28982,plain,
% 8.41/6.26 (~until2p7(s39)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28981, 28979])).
% 8.41/6.26 tff(28983,plain,
% 8.41/6.26 (~xuntil2p8(s38)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25969, 28982])).
% 8.41/6.26 tff(28984,assumption,(~node4(s38)), introduced(assumption)).
% 8.41/6.26 tff(28985,plain,
% 8.41/6.26 (xuntil2p8(s38) | (~until2p7(s38))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25973, 22704, 28984])).
% 8.41/6.26 tff(28986,plain,
% 8.41/6.26 (~until2p7(s38)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28985, 28983])).
% 8.41/6.26 tff(28987,plain,
% 8.41/6.26 (~xuntil2p8(s37)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25979, 28986])).
% 8.41/6.26 tff(28988,assumption,(~node4(s37)), introduced(assumption)).
% 8.41/6.26 tff(28989,plain,
% 8.41/6.26 (xuntil2p8(s37) | (~until2p7(s37))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25983, 22704, 28988])).
% 8.41/6.26 tff(28990,plain,
% 8.41/6.26 (~until2p7(s37)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28989, 28987])).
% 8.41/6.26 tff(28991,plain,
% 8.41/6.26 (~xuntil2p8(s36)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25989, 28990])).
% 8.41/6.26 tff(28992,plain,
% 8.41/6.26 (~until2p7(s36)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[25998, 28991])).
% 8.41/6.26 tff(28993,plain,
% 8.41/6.26 (~xuntil2p8(s35)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26003, 28992])).
% 8.41/6.26 tff(28994,assumption,(~node4(s35)), introduced(assumption)).
% 8.41/6.26 tff(28995,plain,
% 8.41/6.26 (xuntil2p8(s35) | (~until2p7(s35))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26007, 22704, 28994])).
% 8.41/6.26 tff(28996,plain,
% 8.41/6.26 (~until2p7(s35)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28995, 28993])).
% 8.41/6.26 tff(28997,plain,
% 8.41/6.26 (~xuntil2p8(s34)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26013, 28996])).
% 8.41/6.26 tff(28998,assumption,(~node4(s34)), introduced(assumption)).
% 8.41/6.26 tff(28999,plain,
% 8.41/6.26 (xuntil2p8(s34) | (~until2p7(s34))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26017, 22704, 28998])).
% 8.41/6.26 tff(29000,plain,
% 8.41/6.26 (~until2p7(s34)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[28999, 28997])).
% 8.41/6.26 tff(29001,plain,
% 8.41/6.26 (~xuntil2p8(s33)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26023, 29000])).
% 8.41/6.26 tff(29002,assumption,(~node4(s33)), introduced(assumption)).
% 8.41/6.26 tff(29003,plain,
% 8.41/6.26 (xuntil2p8(s33) | (~until2p7(s33))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26027, 22704, 29002])).
% 8.41/6.26 tff(29004,plain,
% 8.41/6.26 (~until2p7(s33)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29003, 29001])).
% 8.41/6.26 tff(29005,plain,
% 8.41/6.26 (~xuntil2p8(s32)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26033, 29004])).
% 8.41/6.26 tff(29006,plain,
% 8.41/6.26 (~until2p7(s32)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26038, 29005])).
% 8.41/6.26 tff(29007,plain,
% 8.41/6.26 (~xuntil2p8(s31)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26043, 29006])).
% 8.41/6.26 tff(29008,assumption,(~node4(s31)), introduced(assumption)).
% 8.41/6.26 tff(29009,plain,
% 8.41/6.26 (xuntil2p8(s31) | (~until2p7(s31))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26047, 22704, 29008])).
% 8.41/6.26 tff(29010,plain,
% 8.41/6.26 (~until2p7(s31)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29009, 29007])).
% 8.41/6.26 tff(29011,assumption,(~until2p7(s31)), introduced(assumption)).
% 8.41/6.26 tff(29012,assumption,(trans(s349, s31)), introduced(assumption)).
% 8.41/6.26 tff(29013,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s31)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29014,plain,
% 8.41/6.26 (((~trans(s349, s31)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s31)) <=> (until2p7(s31) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s31)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29015,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s31)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s31))))),
% 8.41/6.26 inference(monotonicity,[status(thm)],[29014])).
% 8.41/6.26 tff(29016,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s31)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s31)))),
% 8.41/6.26 inference(transitivity,[status(thm)],[29015, 29013])).
% 8.41/6.26 tff(29017,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s31)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s31))),
% 8.41/6.26 inference(quant_inst,[status(thm)],[])).
% 8.41/6.26 tff(29018,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s31))),
% 8.41/6.26 inference(modus_ponens,[status(thm)],[29017, 29016])).
% 8.41/6.26 tff(29019,plain,
% 8.41/6.26 ($false),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29018, 22690, 29012, 23114, 29011, 24569])).
% 8.41/6.26 tff(29020,plain,((~trans(s349, s31)) | until2p7(s31) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.26 tff(29021,plain,
% 8.41/6.26 (~trans(s349, s31)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29020, 29010, 24569])).
% 8.41/6.26 tff(29022,assumption,(~until2p7(s248)), introduced(assumption)).
% 8.41/6.26 tff(29023,assumption,(trans(s349, s248)), introduced(assumption)).
% 8.41/6.26 tff(29024,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s248) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s248)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s248)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29025,plain,
% 8.41/6.26 (((~trans(s349, s248)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s248)) <=> (until2p7(s248) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s248)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29026,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s248)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s248) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s248))))),
% 8.41/6.26 inference(monotonicity,[status(thm)],[29025])).
% 8.41/6.26 tff(29027,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s248)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s248)))),
% 8.41/6.26 inference(transitivity,[status(thm)],[29026, 29024])).
% 8.41/6.26 tff(29028,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s248)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s248))),
% 8.41/6.26 inference(quant_inst,[status(thm)],[])).
% 8.41/6.26 tff(29029,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s248))),
% 8.41/6.26 inference(modus_ponens,[status(thm)],[29028, 29027])).
% 8.41/6.26 tff(29030,plain,
% 8.41/6.26 ($false),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29029, 22690, 29023, 23114, 29022, 24569])).
% 8.41/6.26 tff(29031,plain,((~trans(s349, s248)) | until2p7(s248) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.26 tff(29032,plain,
% 8.41/6.26 (~trans(s349, s248)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29031, 28234, 24569])).
% 8.41/6.26 tff(29033,plain,
% 8.41/6.26 (~xuntil2p8(s30)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26053, 29010])).
% 8.41/6.26 tff(29034,plain,
% 8.41/6.26 (xuntil2p8(s30) | (~until2p7(s30))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26057, 22704, 319])).
% 8.41/6.26 tff(29035,plain,
% 8.41/6.26 (~until2p7(s30)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29034, 29033])).
% 8.41/6.26 tff(29036,plain,
% 8.41/6.26 (~xuntil2p8(s29)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26063, 29035])).
% 8.41/6.26 tff(29037,plain,
% 8.41/6.26 (xuntil2p8(s29) | (~until2p7(s29))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26067, 22704, 2523])).
% 8.41/6.26 tff(29038,plain,
% 8.41/6.26 (~until2p7(s29)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29037, 29036])).
% 8.41/6.26 tff(29039,plain,
% 8.41/6.26 (~xuntil2p8(s28)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26073, 29038])).
% 8.41/6.26 tff(29040,plain,
% 8.41/6.26 (xuntil2p8(s28) | (~until2p7(s28))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26077, 22704, 2524])).
% 8.41/6.26 tff(29041,plain,
% 8.41/6.26 (~until2p7(s28)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29040, 29039])).
% 8.41/6.26 tff(29042,plain,
% 8.41/6.26 (~xuntil2p8(s27)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26083, 29041])).
% 8.41/6.26 tff(29043,plain,
% 8.41/6.26 (~until2p7(s27)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26088, 29042])).
% 8.41/6.26 tff(29044,plain,
% 8.41/6.26 (~xuntil2p8(s26)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26093, 29043])).
% 8.41/6.26 tff(29045,plain,
% 8.41/6.26 (xuntil2p8(s26) | (~until2p7(s26))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26097, 22704, 2520])).
% 8.41/6.26 tff(29046,plain,
% 8.41/6.26 (~until2p7(s26)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29045, 29044])).
% 8.41/6.26 tff(29047,plain,
% 8.41/6.26 (~xuntil2p8(s25)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26103, 29046])).
% 8.41/6.26 tff(29048,plain,
% 8.41/6.26 (xuntil2p8(s25) | (~until2p7(s25))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26107, 22704, 2526])).
% 8.41/6.26 tff(29049,plain,
% 8.41/6.26 (~until2p7(s25)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29048, 29047])).
% 8.41/6.26 tff(29050,plain,
% 8.41/6.26 (~xuntil2p8(s24)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26113, 29049])).
% 8.41/6.26 tff(29051,plain,
% 8.41/6.26 (xuntil2p8(s24) | (~until2p7(s24))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26117, 22704, 2525])).
% 8.41/6.26 tff(29052,plain,
% 8.41/6.26 (~until2p7(s24)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29051, 29050])).
% 8.41/6.26 tff(29053,plain,
% 8.41/6.26 (~xuntil2p8(s23)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26123, 29052])).
% 8.41/6.26 tff(29054,plain,
% 8.41/6.26 (xuntil2p8(s23) | (~until2p7(s23))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26127, 22704, 2522])).
% 8.41/6.26 tff(29055,plain,
% 8.41/6.26 (~until2p7(s23)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29054, 29053])).
% 8.41/6.26 tff(29056,plain,
% 8.41/6.26 (~xuntil2p8(s22)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26133, 29055])).
% 8.41/6.26 tff(29057,plain,
% 8.41/6.26 (xuntil2p8(s22) | (~until2p7(s22))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26137, 22704, 2521])).
% 8.41/6.26 tff(29058,plain,
% 8.41/6.26 (~until2p7(s22)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29057, 29056])).
% 8.41/6.26 tff(29059,plain,
% 8.41/6.26 (~xuntil2p8(s21)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26143, 29058])).
% 8.41/6.26 tff(29060,plain,
% 8.41/6.26 (xuntil2p8(s21) | (~until2p7(s21))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26147, 22704, 2403])).
% 8.41/6.26 tff(29061,plain,
% 8.41/6.26 (~until2p7(s21)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29060, 29059])).
% 8.41/6.26 tff(29062,plain,
% 8.41/6.26 (~xuntil2p8(s20)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26153, 29061])).
% 8.41/6.26 tff(29063,plain,
% 8.41/6.26 (xuntil2p8(s20) | (~until2p7(s20))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26157, 22704, 2519])).
% 8.41/6.26 tff(29064,plain,
% 8.41/6.26 (~until2p7(s20)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29063, 29062])).
% 8.41/6.26 tff(29065,plain,
% 8.41/6.26 (~xuntil2p8(s19)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26163, 29064])).
% 8.41/6.26 tff(29066,assumption,(~node4(s19)), introduced(assumption)).
% 8.41/6.26 tff(29067,plain,
% 8.41/6.26 (xuntil2p8(s19) | (~until2p7(s19))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26167, 22704, 29066])).
% 8.41/6.26 tff(29068,plain,
% 8.41/6.26 (~until2p7(s19)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29067, 29065])).
% 8.41/6.26 tff(29069,plain,
% 8.41/6.26 (~xuntil2p8(s18)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26173, 29068])).
% 8.41/6.26 tff(29070,plain,
% 8.41/6.26 (xuntil2p8(s18) | (~until2p7(s18))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26177, 22704, 2402])).
% 8.41/6.26 tff(29071,plain,
% 8.41/6.26 (~until2p7(s18)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29070, 29069])).
% 8.41/6.26 tff(29072,plain,
% 8.41/6.26 (~xuntil2p8(s17)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26183, 29071])).
% 8.41/6.26 tff(29073,assumption,(~node4(s17)), introduced(assumption)).
% 8.41/6.26 tff(29074,plain,
% 8.41/6.26 (xuntil2p8(s17) | (~until2p7(s17))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26187, 22704, 29073])).
% 8.41/6.26 tff(29075,plain,
% 8.41/6.26 (~until2p7(s17)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29074, 29072])).
% 8.41/6.26 tff(29076,plain,
% 8.41/6.26 (~xuntil2p8(s16)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26193, 29075])).
% 8.41/6.26 tff(29077,plain,
% 8.41/6.26 (~until2p7(s16)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26207, 29076])).
% 8.41/6.26 tff(29078,plain,
% 8.41/6.26 (~xuntil2p8(s15)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26212, 29077])).
% 8.41/6.26 tff(29079,assumption,(~node4(s15)), introduced(assumption)).
% 8.41/6.26 tff(29080,plain,
% 8.41/6.26 (xuntil2p8(s15) | (~until2p7(s15))),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26216, 22704, 29079])).
% 8.41/6.26 tff(29081,plain,
% 8.41/6.26 (~until2p7(s15)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29080, 29078])).
% 8.41/6.26 tff(29082,plain,
% 8.41/6.26 (~xuntil2p8(s14)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26222, 29081])).
% 8.41/6.26 tff(29083,plain,
% 8.41/6.26 (~until2p7(s14)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[26227, 29082])).
% 8.41/6.26 tff(29084,assumption,(~until2p7(s14)), introduced(assumption)).
% 8.41/6.26 tff(29085,assumption,(trans(s349, s14)), introduced(assumption)).
% 8.41/6.26 tff(29086,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s14)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29087,plain,
% 8.41/6.26 (((~trans(s349, s14)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s14)) <=> (until2p7(s14) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s14)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29088,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s14)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s14))))),
% 8.41/6.26 inference(monotonicity,[status(thm)],[29087])).
% 8.41/6.26 tff(29089,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s14)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s14)))),
% 8.41/6.26 inference(transitivity,[status(thm)],[29088, 29086])).
% 8.41/6.26 tff(29090,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s14)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s14))),
% 8.41/6.26 inference(quant_inst,[status(thm)],[])).
% 8.41/6.26 tff(29091,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s14))),
% 8.41/6.26 inference(modus_ponens,[status(thm)],[29090, 29089])).
% 8.41/6.26 tff(29092,plain,
% 8.41/6.26 ($false),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29091, 22690, 29085, 23114, 29084, 24569])).
% 8.41/6.26 tff(29093,plain,((~trans(s349, s14)) | until2p7(s14) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.26 tff(29094,plain,
% 8.41/6.26 (~trans(s349, s14)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29093, 29083, 24569])).
% 8.41/6.26 tff(29095,assumption,(~until2p7(s340)), introduced(assumption)).
% 8.41/6.26 tff(29096,assumption,(trans(s349, s340)), introduced(assumption)).
% 8.41/6.26 tff(29097,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s340) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s340)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s340) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s340)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29098,plain,
% 8.41/6.26 (((~trans(s349, s340)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s340)) <=> (until2p7(s340) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s340)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29099,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s340)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s340) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s340))))),
% 8.41/6.26 inference(monotonicity,[status(thm)],[29098])).
% 8.41/6.26 tff(29100,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s340)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s340) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s340)))),
% 8.41/6.26 inference(transitivity,[status(thm)],[29099, 29097])).
% 8.41/6.26 tff(29101,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s340)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s340))),
% 8.41/6.26 inference(quant_inst,[status(thm)],[])).
% 8.41/6.26 tff(29102,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s340) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s340))),
% 8.41/6.26 inference(modus_ponens,[status(thm)],[29101, 29100])).
% 8.41/6.26 tff(29103,plain,
% 8.41/6.26 ($false),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29102, 22690, 29096, 23114, 29095, 24569])).
% 8.41/6.26 tff(29104,plain,((~trans(s349, s340)) | until2p7(s340) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.26 tff(29105,plain,
% 8.41/6.26 (~trans(s349, s340)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29104, 27876, 24569])).
% 8.41/6.26 tff(29106,assumption,(~until2p7(s71)), introduced(assumption)).
% 8.41/6.26 tff(29107,assumption,(trans(s349, s71)), introduced(assumption)).
% 8.41/6.26 tff(29108,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s71) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s71)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29109,plain,
% 8.41/6.26 (((~trans(s349, s71)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s71)) <=> (until2p7(s71) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s71)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29110,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s71)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s71) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s71))))),
% 8.41/6.26 inference(monotonicity,[status(thm)],[29109])).
% 8.41/6.26 tff(29111,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s71)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s71)))),
% 8.41/6.26 inference(transitivity,[status(thm)],[29110, 29108])).
% 8.41/6.26 tff(29112,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s71)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s71))),
% 8.41/6.26 inference(quant_inst,[status(thm)],[])).
% 8.41/6.26 tff(29113,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s71))),
% 8.41/6.26 inference(modus_ponens,[status(thm)],[29112, 29111])).
% 8.41/6.26 tff(29114,plain,
% 8.41/6.26 ($false),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29113, 22690, 29107, 23114, 29106, 24569])).
% 8.41/6.26 tff(29115,plain,((~trans(s349, s71)) | until2p7(s71) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.26 tff(29116,plain,
% 8.41/6.26 (~trans(s349, s71)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29115, 28854, 24569])).
% 8.41/6.26 tff(29117,assumption,(~until2p7(s298)), introduced(assumption)).
% 8.41/6.26 tff(29118,assumption,(trans(s349, s298)), introduced(assumption)).
% 8.41/6.26 tff(29119,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s298) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s298)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s298) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s298)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29120,plain,
% 8.41/6.26 (((~trans(s349, s298)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s298)) <=> (until2p7(s298) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s298)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29121,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s298)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s298) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s298))))),
% 8.41/6.26 inference(monotonicity,[status(thm)],[29120])).
% 8.41/6.26 tff(29122,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s298)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s298) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s298)))),
% 8.41/6.26 inference(transitivity,[status(thm)],[29121, 29119])).
% 8.41/6.26 tff(29123,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s298)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s298))),
% 8.41/6.26 inference(quant_inst,[status(thm)],[])).
% 8.41/6.26 tff(29124,plain,
% 8.41/6.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s298) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s298))),
% 8.41/6.26 inference(modus_ponens,[status(thm)],[29123, 29122])).
% 8.41/6.26 tff(29125,plain,
% 8.41/6.26 ($false),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29124, 22690, 29118, 23114, 29117, 24569])).
% 8.41/6.26 tff(29126,plain,((~trans(s349, s298)) | until2p7(s298) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.26 tff(29127,plain,
% 8.41/6.26 (~trans(s349, s298)),
% 8.41/6.26 inference(unit_resolution,[status(thm)],[29126, 28044, 24569])).
% 8.41/6.26 tff(29128,assumption,(~until2p7(s211)), introduced(assumption)).
% 8.41/6.26 tff(29129,assumption,(trans(s349, s211)), introduced(assumption)).
% 8.41/6.26 tff(29130,plain,
% 8.41/6.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s211) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s211)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s211) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s211)))),
% 8.41/6.26 inference(rewrite,[status(thm)],[])).
% 8.41/6.26 tff(29131,plain,
% 8.41/6.26 (((~trans(s349, s211)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s211)) <=> (until2p7(s211) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s211)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29132,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s211)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s211) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s211))))),
% 8.41/6.27 inference(monotonicity,[status(thm)],[29131])).
% 8.41/6.27 tff(29133,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s211)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s211) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s211)))),
% 8.41/6.27 inference(transitivity,[status(thm)],[29132, 29130])).
% 8.41/6.27 tff(29134,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s211)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s211))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29135,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s211) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s211))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29134, 29133])).
% 8.41/6.27 tff(29136,plain,
% 8.41/6.27 ($false),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29135, 22690, 29129, 23114, 29128, 24569])).
% 8.41/6.27 tff(29137,plain,((~trans(s349, s211)) | until2p7(s211) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.27 tff(29138,plain,
% 8.41/6.27 (~trans(s349, s211)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29137, 28365, 24569])).
% 8.41/6.27 tff(29139,assumption,(~until2p7(s335)), introduced(assumption)).
% 8.41/6.27 tff(29140,assumption,(trans(s349, s335)), introduced(assumption)).
% 8.41/6.27 tff(29141,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s335) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s335)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s335) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s335)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29142,plain,
% 8.41/6.27 (((~trans(s349, s335)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s335)) <=> (until2p7(s335) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s335)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29143,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s335)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s335))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s335) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s335))))),
% 8.41/6.27 inference(monotonicity,[status(thm)],[29142])).
% 8.41/6.27 tff(29144,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s335)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s335))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s335) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s335)))),
% 8.41/6.27 inference(transitivity,[status(thm)],[29143, 29141])).
% 8.41/6.27 tff(29145,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s335)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s335))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29146,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s335) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s335))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29145, 29144])).
% 8.41/6.27 tff(29147,plain,
% 8.41/6.27 ($false),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29146, 22690, 29140, 23114, 29139, 24569])).
% 8.41/6.27 tff(29148,plain,((~trans(s349, s335)) | until2p7(s335) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.27 tff(29149,plain,
% 8.41/6.27 (~trans(s349, s335)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29148, 27896, 24569])).
% 8.41/6.27 tff(29150,assumption,(~until2p7(s109)), introduced(assumption)).
% 8.41/6.27 tff(29151,assumption,(trans(s349, s109)), introduced(assumption)).
% 8.41/6.27 tff(29152,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s109) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s109)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s109)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29153,plain,
% 8.41/6.27 (((~trans(s349, s109)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s109)) <=> (until2p7(s109) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s109)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29154,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s109)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s109) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s109))))),
% 8.41/6.27 inference(monotonicity,[status(thm)],[29153])).
% 8.41/6.27 tff(29155,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s109)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s109)))),
% 8.41/6.27 inference(transitivity,[status(thm)],[29154, 29152])).
% 8.41/6.27 tff(29156,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s109)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s109))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29157,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s109))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29156, 29155])).
% 8.41/6.27 tff(29158,plain,
% 8.41/6.27 ($false),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29157, 22690, 29151, 23114, 29150, 24569])).
% 8.41/6.27 tff(29159,plain,((~trans(s349, s109)) | until2p7(s109) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.27 tff(29160,plain,
% 8.41/6.27 (~trans(s349, s109)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29159, 28710, 24569])).
% 8.41/6.27 tff(29161,assumption,(~until2p7(s41)), introduced(assumption)).
% 8.41/6.27 tff(29162,assumption,(trans(s349, s41)), introduced(assumption)).
% 8.41/6.27 tff(29163,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s41)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29164,plain,
% 8.41/6.27 (((~trans(s349, s41)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s41)) <=> (until2p7(s41) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s41)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29165,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s41)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s41))))),
% 8.41/6.27 inference(monotonicity,[status(thm)],[29164])).
% 8.41/6.27 tff(29166,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s41)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s41)))),
% 8.41/6.27 inference(transitivity,[status(thm)],[29165, 29163])).
% 8.41/6.27 tff(29167,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s41)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s41))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29168,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s41))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29167, 29166])).
% 8.41/6.27 tff(29169,plain,
% 8.41/6.27 ($false),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29168, 22690, 29162, 23114, 29161, 24569])).
% 8.41/6.27 tff(29170,plain,((~trans(s349, s41)) | until2p7(s41) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.27 tff(29171,plain,
% 8.41/6.27 (~trans(s349, s41)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29170, 28974, 24569])).
% 8.41/6.27 tff(29172,assumption,(~until2p7(s60)), introduced(assumption)).
% 8.41/6.27 tff(29173,assumption,(trans(s349, s60)), introduced(assumption)).
% 8.41/6.27 tff(29174,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s60) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s60)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29175,plain,
% 8.41/6.27 (((~trans(s349, s60)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s60)) <=> (until2p7(s60) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s60)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29176,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s60)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s60) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s60))))),
% 8.41/6.27 inference(monotonicity,[status(thm)],[29175])).
% 8.41/6.27 tff(29177,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s60)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s60)))),
% 8.41/6.27 inference(transitivity,[status(thm)],[29176, 29174])).
% 8.41/6.27 tff(29178,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s60)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s60))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29179,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s60))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29178, 29177])).
% 8.41/6.27 tff(29180,plain,
% 8.41/6.27 ($false),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29179, 22690, 29173, 23114, 29172, 24569])).
% 8.41/6.27 tff(29181,plain,((~trans(s349, s60)) | until2p7(s60) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.27 tff(29182,plain,
% 8.41/6.27 (~trans(s349, s60)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29181, 28898, 24569])).
% 8.41/6.27 tff(29183,plain,
% 8.41/6.27 (~xuntil2p8(s13)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26232, 29083])).
% 8.41/6.27 tff(29184,assumption,(~node4(s13)), introduced(assumption)).
% 8.41/6.27 tff(29185,plain,
% 8.41/6.27 (xuntil2p8(s13) | (~until2p7(s13))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26236, 22704, 29184])).
% 8.41/6.27 tff(29186,plain,
% 8.41/6.27 (~until2p7(s13)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29185, 29183])).
% 8.41/6.27 tff(29187,plain,
% 8.41/6.27 (~xuntil2p8(s12)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26242, 29186])).
% 8.41/6.27 tff(29188,plain,
% 8.41/6.27 (~until2p7(s12)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26247, 29187])).
% 8.41/6.27 tff(29189,plain,
% 8.41/6.27 (~xuntil2p8(s11)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26252, 29188])).
% 8.41/6.27 tff(29190,assumption,(~node4(s11)), introduced(assumption)).
% 8.41/6.27 tff(29191,plain,
% 8.41/6.27 (xuntil2p8(s11) | (~until2p7(s11))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26256, 22704, 29190])).
% 8.41/6.27 tff(29192,plain,
% 8.41/6.27 (~until2p7(s11)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29191, 29189])).
% 8.41/6.27 tff(29193,plain,
% 8.41/6.27 (~xuntil2p8(s10)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26262, 29192])).
% 8.41/6.27 tff(29194,assumption,(~node4(s10)), introduced(assumption)).
% 8.41/6.27 tff(29195,plain,
% 8.41/6.27 (xuntil2p8(s10) | (~until2p7(s10))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26266, 22704, 29194])).
% 8.41/6.27 tff(29196,plain,
% 8.41/6.27 (~until2p7(s10)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29195, 29193])).
% 8.41/6.27 tff(29197,plain,
% 8.41/6.27 (~xuntil2p8(s9)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26272, 29196])).
% 8.41/6.27 tff(29198,assumption,(~node4(s9)), introduced(assumption)).
% 8.41/6.27 tff(29199,plain,
% 8.41/6.27 (xuntil2p8(s9) | (~until2p7(s9))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26276, 22704, 29198])).
% 8.41/6.27 tff(29200,plain,
% 8.41/6.27 (~until2p7(s9)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29199, 29197])).
% 8.41/6.27 tff(29201,plain,
% 8.41/6.27 (~xuntil2p8(s8)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26282, 29200])).
% 8.41/6.27 tff(29202,assumption,(~node4(s8)), introduced(assumption)).
% 8.41/6.27 tff(29203,plain,
% 8.41/6.27 (xuntil2p8(s8) | (~until2p7(s8))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[26286, 22704, 29202])).
% 8.41/6.27 tff(29204,plain,
% 8.41/6.27 (~until2p7(s8)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29203, 29201])).
% 8.41/6.27 tff(29205,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29206,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29207,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29206, 29205])).
% 8.41/6.27 tff(29208,plain,
% 8.41/6.27 (until2p7(s8) | (~xuntil2p8(s7))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29207, 775, 22719])).
% 8.41/6.27 tff(29209,plain,
% 8.41/6.27 (~xuntil2p8(s7)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29208, 29204])).
% 8.41/6.27 tff(29210,plain,
% 8.41/6.27 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29211,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29212,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s7) | xuntil2p8(s7) | (~until2p7(s7))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29211, 29210])).
% 8.41/6.27 tff(29213,plain,
% 8.41/6.27 (xuntil2p8(s7) | (~until2p7(s7))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29212, 22704, 971])).
% 8.41/6.27 tff(29214,plain,
% 8.41/6.27 (~until2p7(s7)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29213, 29209])).
% 8.41/6.27 tff(29215,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29216,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29217,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29216, 29215])).
% 8.41/6.27 tff(29218,plain,
% 8.41/6.27 (until2p7(s7) | (~xuntil2p8(s6))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29217, 804, 22719])).
% 8.41/6.27 tff(29219,plain,
% 8.41/6.27 (~xuntil2p8(s6)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29218, 29214])).
% 8.41/6.27 tff(29220,plain,
% 8.41/6.27 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29221,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29222,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s6) | xuntil2p8(s6) | (~until2p7(s6))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29221, 29220])).
% 8.41/6.27 tff(29223,plain,
% 8.41/6.27 (xuntil2p8(s6) | (~until2p7(s6))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29222, 22704, 939])).
% 8.41/6.27 tff(29224,plain,
% 8.41/6.27 (~until2p7(s6)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29223, 29219])).
% 8.41/6.27 tff(29225,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29226,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29227,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29226, 29225])).
% 8.41/6.27 tff(29228,plain,
% 8.41/6.27 (until2p7(s6) | (~xuntil2p8(s5))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29227, 685, 22719])).
% 8.41/6.27 tff(29229,plain,
% 8.41/6.27 (~xuntil2p8(s5)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29228, 29224])).
% 8.41/6.27 tff(29230,plain,
% 8.41/6.27 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29231,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29232,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s5) | xuntil2p8(s5) | (~until2p7(s5))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29231, 29230])).
% 8.41/6.27 tff(29233,plain,
% 8.41/6.27 (xuntil2p8(s5) | (~until2p7(s5))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29232, 22704, 716])).
% 8.41/6.27 tff(29234,plain,
% 8.41/6.27 (~until2p7(s5)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29233, 29229])).
% 8.41/6.27 tff(29235,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29236,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29237,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29236, 29235])).
% 8.41/6.27 tff(29238,plain,
% 8.41/6.27 (until2p7(s5) | (~xuntil2p8(s4))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29237, 476, 22719])).
% 8.41/6.27 tff(29239,plain,
% 8.41/6.27 (~xuntil2p8(s4)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29238, 29234])).
% 8.41/6.27 tff(29240,assumption,(~node4(s4)), introduced(assumption)).
% 8.41/6.27 tff(29241,plain,
% 8.41/6.27 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29242,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29243,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s4) | xuntil2p8(s4) | (~until2p7(s4))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29242, 29241])).
% 8.41/6.27 tff(29244,plain,
% 8.41/6.27 (xuntil2p8(s4) | (~until2p7(s4))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29243, 22704, 29240])).
% 8.41/6.27 tff(29245,plain,
% 8.41/6.27 (~until2p7(s4)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29244, 29239])).
% 8.41/6.27 tff(29246,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29247,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29248,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29247, 29246])).
% 8.41/6.27 tff(29249,plain,
% 8.41/6.27 (until2p7(s4) | (~xuntil2p8(s3))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29248, 325, 22719])).
% 8.41/6.27 tff(29250,plain,
% 8.41/6.27 (~xuntil2p8(s3)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29249, 29245])).
% 8.41/6.27 tff(29251,assumption,(~node4(s3)), introduced(assumption)).
% 8.41/6.27 tff(29252,plain,
% 8.41/6.27 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29253,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29254,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s3) | xuntil2p8(s3) | (~until2p7(s3))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29253, 29252])).
% 8.41/6.27 tff(29255,plain,
% 8.41/6.27 (xuntil2p8(s3) | (~until2p7(s3))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29254, 22704, 29251])).
% 8.41/6.27 tff(29256,plain,
% 8.41/6.27 (~until2p7(s3)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29255, 29250])).
% 8.41/6.27 tff(29257,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29258,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29259,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29258, 29257])).
% 8.41/6.27 tff(29260,plain,
% 8.41/6.27 (until2p7(s3) | (~xuntil2p8(s2))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29259, 385, 22719])).
% 8.41/6.27 tff(29261,plain,
% 8.41/6.27 (~xuntil2p8(s2)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29260, 29256])).
% 8.41/6.27 tff(29262,assumption,(~node4(s2)), introduced(assumption)).
% 8.41/6.27 tff(29263,plain,
% 8.41/6.27 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29264,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29265,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s2) | xuntil2p8(s2) | (~until2p7(s2))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29264, 29263])).
% 8.41/6.27 tff(29266,plain,
% 8.41/6.27 (xuntil2p8(s2) | (~until2p7(s2))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29265, 22704, 29262])).
% 8.41/6.27 tff(29267,plain,
% 8.41/6.27 (~until2p7(s2)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29266, 29261])).
% 8.41/6.27 tff(29268,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29269,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29270,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29269, 29268])).
% 8.41/6.27 tff(29271,plain,
% 8.41/6.27 (until2p7(s2) | (~xuntil2p8(s1))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29270, 402, 22719])).
% 8.41/6.27 tff(29272,plain,
% 8.41/6.27 (~xuntil2p8(s1)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29271, 29267])).
% 8.41/6.27 tff(29273,assumption,(~node4(s1)), introduced(assumption)).
% 8.41/6.27 tff(29274,plain,
% 8.41/6.27 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29275,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29276,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s1) | xuntil2p8(s1) | (~until2p7(s1))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29275, 29274])).
% 8.41/6.27 tff(29277,plain,
% 8.41/6.27 (xuntil2p8(s1) | (~until2p7(s1))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29276, 22704, 29273])).
% 8.41/6.27 tff(29278,plain,
% 8.41/6.27 (~until2p7(s1)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29277, 29272])).
% 8.41/6.27 tff(29279,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29280,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29281,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29280, 29279])).
% 8.41/6.27 tff(29282,plain,
% 8.41/6.27 (until2p7(s1) | (~xuntil2p8(s0))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29281, 418, 22719])).
% 8.41/6.27 tff(29283,plain,
% 8.41/6.27 (~xuntil2p8(s0)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29282, 29278])).
% 8.41/6.27 tff(29284,plain,
% 8.41/6.27 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29285,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29286,plain,
% 8.41/6.27 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s0) | xuntil2p8(s0) | (~until2p7(s0))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29285, 29284])).
% 8.41/6.27 tff(29287,plain,
% 8.41/6.27 (xuntil2p8(s0) | (~until2p7(s0))),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29286, 22704, 604])).
% 8.41/6.27 tff(29288,plain,
% 8.41/6.27 (~until2p7(s0)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29287, 29283])).
% 8.41/6.27 tff(29289,assumption,(~until2p7(s0)), introduced(assumption)).
% 8.41/6.27 tff(29290,assumption,(trans(s349, s0)), introduced(assumption)).
% 8.41/6.27 tff(29291,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s349)) | (~xuntil6(s349)) | until2p7(s0) | (~trans(s349, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s0) | (~trans(s349, s0)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29292,plain,
% 8.41/6.27 (((~trans(s349, s0)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s0)) <=> ((~last(s349)) | (~xuntil6(s349)) | until2p7(s0) | (~trans(s349, s0)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29293,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s0)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s349)) | (~xuntil6(s349)) | until2p7(s0) | (~trans(s349, s0))))),
% 8.41/6.27 inference(monotonicity,[status(thm)],[29292])).
% 8.41/6.27 tff(29294,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s0)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s0) | (~trans(s349, s0)))),
% 8.41/6.27 inference(transitivity,[status(thm)],[29293, 29291])).
% 8.41/6.27 tff(29295,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s0)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s0))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29296,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s0) | (~trans(s349, s0))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29295, 29294])).
% 8.41/6.27 tff(29297,plain,
% 8.41/6.27 ($false),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29296, 22690, 29290, 23114, 24569, 29289])).
% 8.41/6.27 tff(29298,plain,((~trans(s349, s0)) | (~xuntil6(s349)) | until2p7(s0)), inference(lemma,lemma(discharge,[]))).
% 8.41/6.27 tff(29299,plain,
% 8.41/6.27 (~trans(s349, s0)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29298, 29288, 24569])).
% 8.41/6.27 tff(29300,assumption,(~until2p7(s195)), introduced(assumption)).
% 8.41/6.27 tff(29301,assumption,(trans(s349, s195)), introduced(assumption)).
% 8.41/6.27 tff(29302,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s195) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s195)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s195)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29303,plain,
% 8.41/6.27 (((~trans(s349, s195)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s195)) <=> (until2p7(s195) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s195)))),
% 8.41/6.27 inference(rewrite,[status(thm)],[])).
% 8.41/6.27 tff(29304,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s195)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s195) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s195))))),
% 8.41/6.27 inference(monotonicity,[status(thm)],[29303])).
% 8.41/6.27 tff(29305,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s195)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s195)))),
% 8.41/6.27 inference(transitivity,[status(thm)],[29304, 29302])).
% 8.41/6.27 tff(29306,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s195)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s195))),
% 8.41/6.27 inference(quant_inst,[status(thm)],[])).
% 8.41/6.27 tff(29307,plain,
% 8.41/6.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s195))),
% 8.41/6.27 inference(modus_ponens,[status(thm)],[29306, 29305])).
% 8.41/6.27 tff(29308,plain,
% 8.41/6.27 ($false),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29307, 22690, 29301, 23114, 29300, 24569])).
% 8.41/6.27 tff(29309,plain,((~trans(s349, s195)) | until2p7(s195) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.27 tff(29310,plain,
% 8.41/6.27 (~trans(s349, s195)),
% 8.41/6.27 inference(unit_resolution,[status(thm)],[29309, 28418, 24569])).
% 8.41/6.27 tff(29311,assumption,(~until2p7(s53)), introduced(assumption)).
% 8.41/6.27 tff(29312,assumption,(trans(s349, s53)), introduced(assumption)).
% 8.41/6.27 tff(29313,plain,
% 8.41/6.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s53) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s53)))),
% 8.41/6.28 inference(rewrite,[status(thm)],[])).
% 8.41/6.28 tff(29314,plain,
% 8.41/6.28 (((~trans(s349, s53)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s53)) <=> (until2p7(s53) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s53)))),
% 8.41/6.28 inference(rewrite,[status(thm)],[])).
% 8.41/6.28 tff(29315,plain,
% 8.41/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s53)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s53) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s53))))),
% 8.41/6.28 inference(monotonicity,[status(thm)],[29314])).
% 8.41/6.28 tff(29316,plain,
% 8.41/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s53)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s53)))),
% 8.41/6.28 inference(transitivity,[status(thm)],[29315, 29313])).
% 8.41/6.28 tff(29317,plain,
% 8.41/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s53)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s53))),
% 8.41/6.28 inference(quant_inst,[status(thm)],[])).
% 8.41/6.28 tff(29318,plain,
% 8.41/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s53))),
% 8.41/6.28 inference(modus_ponens,[status(thm)],[29317, 29316])).
% 8.41/6.28 tff(29319,plain,
% 8.41/6.28 ($false),
% 8.41/6.28 inference(unit_resolution,[status(thm)],[29318, 22690, 29312, 23114, 29311, 24569])).
% 8.41/6.28 tff(29320,plain,((~trans(s349, s53)) | until2p7(s53) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.28 tff(29321,plain,
% 8.41/6.28 (~trans(s349, s53)),
% 8.41/6.28 inference(unit_resolution,[status(thm)],[29320, 28926, 24569])).
% 8.41/6.28 tff(29322,assumption,(~until2p7(s318)), introduced(assumption)).
% 8.41/6.28 tff(29323,assumption,(trans(s349, s318)), introduced(assumption)).
% 8.41/6.28 tff(29324,plain,
% 8.41/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s318) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s318)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s318) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s318)))),
% 8.41/6.28 inference(rewrite,[status(thm)],[])).
% 8.41/6.28 tff(29325,plain,
% 8.41/6.28 (((~trans(s349, s318)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s318)) <=> (until2p7(s318) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s318)))),
% 8.41/6.28 inference(rewrite,[status(thm)],[])).
% 8.41/6.28 tff(29326,plain,
% 8.41/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s318)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s318) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s318))))),
% 8.41/6.28 inference(monotonicity,[status(thm)],[29325])).
% 8.41/6.28 tff(29327,plain,
% 8.41/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s318)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s318) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s318)))),
% 8.41/6.28 inference(transitivity,[status(thm)],[29326, 29324])).
% 8.41/6.28 tff(29328,plain,
% 8.41/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s318)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s318))),
% 8.41/6.28 inference(quant_inst,[status(thm)],[])).
% 8.41/6.28 tff(29329,plain,
% 8.41/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s318) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s318))),
% 8.41/6.28 inference(modus_ponens,[status(thm)],[29328, 29327])).
% 8.41/6.28 tff(29330,plain,
% 8.41/6.28 ($false),
% 8.41/6.28 inference(unit_resolution,[status(thm)],[29329, 22690, 29323, 23114, 29322, 24569])).
% 8.41/6.28 tff(29331,plain,((~trans(s349, s318)) | until2p7(s318) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.28 tff(29332,plain,
% 8.41/6.28 (~trans(s349, s318)),
% 8.41/6.28 inference(unit_resolution,[status(thm)],[29331, 27964, 24569])).
% 8.41/6.28 tff(29333,assumption,(~until2p7(s12)), introduced(assumption)).
% 8.41/6.28 tff(29334,assumption,(trans(s349, s12)), introduced(assumption)).
% 8.41/6.28 tff(29335,plain,
% 8.41/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s12)))),
% 8.41/6.28 inference(rewrite,[status(thm)],[])).
% 8.41/6.28 tff(29336,plain,
% 8.41/6.28 (((~trans(s349, s12)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s12)) <=> (until2p7(s12) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s12)))),
% 8.41/6.28 inference(rewrite,[status(thm)],[])).
% 8.41/6.28 tff(29337,plain,
% 8.41/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s12)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s12))))),
% 8.41/6.28 inference(monotonicity,[status(thm)],[29336])).
% 8.41/6.28 tff(29338,plain,
% 8.41/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s12)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s12)))),
% 8.41/6.28 inference(transitivity,[status(thm)],[29337, 29335])).
% 8.41/6.28 tff(29339,plain,
% 8.41/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s12)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s12))),
% 8.41/6.28 inference(quant_inst,[status(thm)],[])).
% 8.41/6.28 tff(29340,plain,
% 8.41/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s12))),
% 8.41/6.28 inference(modus_ponens,[status(thm)],[29339, 29338])).
% 8.41/6.28 tff(29341,plain,
% 8.41/6.28 ($false),
% 8.41/6.28 inference(unit_resolution,[status(thm)],[29340, 22690, 29334, 23114, 29333, 24569])).
% 8.41/6.28 tff(29342,plain,((~trans(s349, s12)) | until2p7(s12) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.41/6.28 tff(29343,plain,
% 8.41/6.28 (~trans(s349, s12)),
% 8.41/6.28 inference(unit_resolution,[status(thm)],[29342, 29188, 24569])).
% 8.41/6.28 tff(29344,assumption,(~until2p7(s288)), introduced(assumption)).
% 8.41/6.28 tff(29345,assumption,(trans(s349, s288)), introduced(assumption)).
% 8.41/6.28 tff(29346,plain,
% 8.41/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s288) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s288)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s288) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s288)))),
% 8.41/6.28 inference(rewrite,[status(thm)],[])).
% 8.41/6.28 tff(29347,plain,
% 8.41/6.28 (((~trans(s349, s288)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s288)) <=> (until2p7(s288) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s288)))),
% 8.41/6.28 inference(rewrite,[status(thm)],[])).
% 8.41/6.28 tff(29348,plain,
% 8.41/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s288)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s288) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s288))))),
% 8.41/6.28 inference(monotonicity,[status(thm)],[29347])).
% 8.41/6.28 tff(29349,plain,
% 8.41/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s288)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s288) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s288)))),
% 8.51/6.28 inference(transitivity,[status(thm)],[29348, 29346])).
% 8.51/6.28 tff(29350,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s288)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s288))),
% 8.51/6.28 inference(quant_inst,[status(thm)],[])).
% 8.51/6.28 tff(29351,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s288) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s288))),
% 8.51/6.28 inference(modus_ponens,[status(thm)],[29350, 29349])).
% 8.51/6.28 tff(29352,plain,
% 8.51/6.28 ($false),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29351, 22690, 29345, 23114, 29344, 24569])).
% 8.51/6.28 tff(29353,plain,((~trans(s349, s288)) | until2p7(s288) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.28 tff(29354,plain,
% 8.51/6.28 (~trans(s349, s288)),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29353, 28084, 24569])).
% 8.51/6.28 tff(29355,assumption,(~until2p7(s343)), introduced(assumption)).
% 8.51/6.28 tff(29356,assumption,(trans(s349, s343)), introduced(assumption)).
% 8.51/6.28 tff(29357,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s343) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s343)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s343) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s343)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29358,plain,
% 8.51/6.28 (((~trans(s349, s343)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s343)) <=> (until2p7(s343) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s343)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29359,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s343)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s343))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s343) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s343))))),
% 8.51/6.28 inference(monotonicity,[status(thm)],[29358])).
% 8.51/6.28 tff(29360,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s343)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s343))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s343) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s343)))),
% 8.51/6.28 inference(transitivity,[status(thm)],[29359, 29357])).
% 8.51/6.28 tff(29361,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s343)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s343))),
% 8.51/6.28 inference(quant_inst,[status(thm)],[])).
% 8.51/6.28 tff(29362,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s343) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s343))),
% 8.51/6.28 inference(modus_ponens,[status(thm)],[29361, 29360])).
% 8.51/6.28 tff(29363,plain,
% 8.51/6.28 ($false),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29362, 22690, 29356, 23114, 29355, 24569])).
% 8.51/6.28 tff(29364,plain,((~trans(s349, s343)) | until2p7(s343) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.28 tff(29365,plain,
% 8.51/6.28 (~trans(s349, s343)),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29364, 27864, 24569])).
% 8.51/6.28 tff(29366,assumption,(~until2p7(s193)), introduced(assumption)).
% 8.51/6.28 tff(29367,assumption,(trans(s349, s193)), introduced(assumption)).
% 8.51/6.28 tff(29368,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s193) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s193)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s193)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29369,plain,
% 8.51/6.28 (((~trans(s349, s193)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s193)) <=> (until2p7(s193) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s193)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29370,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s193)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s193) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s193))))),
% 8.51/6.28 inference(monotonicity,[status(thm)],[29369])).
% 8.51/6.28 tff(29371,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s193)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s193)))),
% 8.51/6.28 inference(transitivity,[status(thm)],[29370, 29368])).
% 8.51/6.28 tff(29372,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s193)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s193))),
% 8.51/6.28 inference(quant_inst,[status(thm)],[])).
% 8.51/6.28 tff(29373,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s193))),
% 8.51/6.28 inference(modus_ponens,[status(thm)],[29372, 29371])).
% 8.51/6.28 tff(29374,plain,
% 8.51/6.28 ($false),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29373, 22690, 29367, 23114, 29366, 24569])).
% 8.51/6.28 tff(29375,plain,((~trans(s349, s193)) | until2p7(s193) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.28 tff(29376,plain,
% 8.51/6.28 (~trans(s349, s193)),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29375, 28425, 24569])).
% 8.51/6.28 tff(29377,assumption,(~until2p7(s91)), introduced(assumption)).
% 8.51/6.28 tff(29378,assumption,(trans(s349, s91)), introduced(assumption)).
% 8.51/6.28 tff(29379,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s91) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s91)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29380,plain,
% 8.51/6.28 (((~trans(s349, s91)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s91)) <=> (until2p7(s91) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s91)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29381,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s91)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s91) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s91))))),
% 8.51/6.28 inference(monotonicity,[status(thm)],[29380])).
% 8.51/6.28 tff(29382,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s91)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s91)))),
% 8.51/6.28 inference(transitivity,[status(thm)],[29381, 29379])).
% 8.51/6.28 tff(29383,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s91)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s91))),
% 8.51/6.28 inference(quant_inst,[status(thm)],[])).
% 8.51/6.28 tff(29384,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s91))),
% 8.51/6.28 inference(modus_ponens,[status(thm)],[29383, 29382])).
% 8.51/6.28 tff(29385,plain,
% 8.51/6.28 ($false),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29384, 22690, 29378, 23114, 29377, 24569])).
% 8.51/6.28 tff(29386,plain,((~trans(s349, s91)) | until2p7(s91) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.28 tff(29387,plain,
% 8.51/6.28 (~trans(s349, s91)),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29386, 28774, 24569])).
% 8.51/6.28 tff(29388,assumption,(~until2p7(s127)), introduced(assumption)).
% 8.51/6.28 tff(29389,assumption,(trans(s349, s127)), introduced(assumption)).
% 8.51/6.28 tff(29390,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s127) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s127)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s127)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29391,plain,
% 8.51/6.28 (((~trans(s349, s127)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s127)) <=> (until2p7(s127) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s127)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29392,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s127)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s127) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s127))))),
% 8.51/6.28 inference(monotonicity,[status(thm)],[29391])).
% 8.51/6.28 tff(29393,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s127)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s127)))),
% 8.51/6.28 inference(transitivity,[status(thm)],[29392, 29390])).
% 8.51/6.28 tff(29394,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s127)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s127))),
% 8.51/6.28 inference(quant_inst,[status(thm)],[])).
% 8.51/6.28 tff(29395,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s127))),
% 8.51/6.28 inference(modus_ponens,[status(thm)],[29394, 29393])).
% 8.51/6.28 tff(29396,plain,
% 8.51/6.28 ($false),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29395, 22690, 29389, 23114, 29388, 24569])).
% 8.51/6.28 tff(29397,plain,((~trans(s349, s127)) | until2p7(s127) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.28 tff(29398,plain,
% 8.51/6.28 (~trans(s349, s127)),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29397, 28649, 24569])).
% 8.51/6.28 tff(29399,assumption,(~until2p7(s234)), introduced(assumption)).
% 8.51/6.28 tff(29400,assumption,(trans(s349, s234)), introduced(assumption)).
% 8.51/6.28 tff(29401,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s234) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s234)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s234) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s234)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29402,plain,
% 8.51/6.28 (((~trans(s349, s234)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s234)) <=> (until2p7(s234) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s234)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29403,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s234)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s234) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s234))))),
% 8.51/6.28 inference(monotonicity,[status(thm)],[29402])).
% 8.51/6.28 tff(29404,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s234)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s234) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s234)))),
% 8.51/6.28 inference(transitivity,[status(thm)],[29403, 29401])).
% 8.51/6.28 tff(29405,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s234)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s234))),
% 8.51/6.28 inference(quant_inst,[status(thm)],[])).
% 8.51/6.28 tff(29406,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s234) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s234))),
% 8.51/6.28 inference(modus_ponens,[status(thm)],[29405, 29404])).
% 8.51/6.28 tff(29407,plain,
% 8.51/6.28 ($false),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29406, 22690, 29400, 23114, 29399, 24569])).
% 8.51/6.28 tff(29408,plain,((~trans(s349, s234)) | until2p7(s234) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.28 tff(29409,plain,
% 8.51/6.28 (~trans(s349, s234)),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29408, 28286, 24569])).
% 8.51/6.28 tff(29410,assumption,(~until2p7(s196)), introduced(assumption)).
% 8.51/6.28 tff(29411,assumption,(trans(s349, s196)), introduced(assumption)).
% 8.51/6.28 tff(29412,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s196) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s196)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s196)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29413,plain,
% 8.51/6.28 (((~trans(s349, s196)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s196)) <=> (until2p7(s196) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s196)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29414,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s196)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s196) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s196))))),
% 8.51/6.28 inference(monotonicity,[status(thm)],[29413])).
% 8.51/6.28 tff(29415,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s196)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s196)))),
% 8.51/6.28 inference(transitivity,[status(thm)],[29414, 29412])).
% 8.51/6.28 tff(29416,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s196)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s196))),
% 8.51/6.28 inference(quant_inst,[status(thm)],[])).
% 8.51/6.28 tff(29417,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s196))),
% 8.51/6.28 inference(modus_ponens,[status(thm)],[29416, 29415])).
% 8.51/6.28 tff(29418,plain,
% 8.51/6.28 ($false),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29417, 22690, 29411, 23114, 29410, 24569])).
% 8.51/6.28 tff(29419,plain,((~trans(s349, s196)) | until2p7(s196) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.28 tff(29420,plain,
% 8.51/6.28 (~trans(s349, s196)),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29419, 28414, 24569])).
% 8.51/6.28 tff(29421,assumption,(~until2p7(s126)), introduced(assumption)).
% 8.51/6.28 tff(29422,assumption,(trans(s349, s126)), introduced(assumption)).
% 8.51/6.28 tff(29423,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s126) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s126)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s126)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29424,plain,
% 8.51/6.28 (((~trans(s349, s126)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s126)) <=> (until2p7(s126) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s126)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29425,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s126)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s126) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s126))))),
% 8.51/6.28 inference(monotonicity,[status(thm)],[29424])).
% 8.51/6.28 tff(29426,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s126)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s126)))),
% 8.51/6.28 inference(transitivity,[status(thm)],[29425, 29423])).
% 8.51/6.28 tff(29427,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s126)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s126))),
% 8.51/6.28 inference(quant_inst,[status(thm)],[])).
% 8.51/6.28 tff(29428,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s126))),
% 8.51/6.28 inference(modus_ponens,[status(thm)],[29427, 29426])).
% 8.51/6.28 tff(29429,plain,
% 8.51/6.28 ($false),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29428, 22690, 29422, 23114, 29421, 24569])).
% 8.51/6.28 tff(29430,plain,((~trans(s349, s126)) | until2p7(s126) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.28 tff(29431,plain,
% 8.51/6.28 (~trans(s349, s126)),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29430, 28652, 24569])).
% 8.51/6.28 tff(29432,assumption,(~until2p7(s274)), introduced(assumption)).
% 8.51/6.28 tff(29433,assumption,(trans(s349, s274)), introduced(assumption)).
% 8.51/6.28 tff(29434,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s274) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s274)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s274) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s274)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29435,plain,
% 8.51/6.28 (((~trans(s349, s274)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s274)) <=> (until2p7(s274) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s274)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29436,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s274)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s274) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s274))))),
% 8.51/6.28 inference(monotonicity,[status(thm)],[29435])).
% 8.51/6.28 tff(29437,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s274)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s274) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s274)))),
% 8.51/6.28 inference(transitivity,[status(thm)],[29436, 29434])).
% 8.51/6.28 tff(29438,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s274)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s274))),
% 8.51/6.28 inference(quant_inst,[status(thm)],[])).
% 8.51/6.28 tff(29439,plain,
% 8.51/6.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s274) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s274))),
% 8.51/6.28 inference(modus_ponens,[status(thm)],[29438, 29437])).
% 8.51/6.28 tff(29440,plain,
% 8.51/6.28 ($false),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29439, 22690, 29433, 23114, 29432, 24569])).
% 8.51/6.28 tff(29441,plain,((~trans(s349, s274)) | until2p7(s274) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.28 tff(29442,plain,
% 8.51/6.28 (~trans(s349, s274)),
% 8.51/6.28 inference(unit_resolution,[status(thm)],[29441, 28140, 24569])).
% 8.51/6.28 tff(29443,assumption,(~until2p7(s46)), introduced(assumption)).
% 8.51/6.28 tff(29444,assumption,(trans(s349, s46)), introduced(assumption)).
% 8.51/6.28 tff(29445,plain,
% 8.51/6.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s46)))),
% 8.51/6.28 inference(rewrite,[status(thm)],[])).
% 8.51/6.28 tff(29446,plain,
% 8.51/6.28 (((~trans(s349, s46)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s46)) <=> (until2p7(s46) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s46)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29447,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s46)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s46))))),
% 8.51/6.29 inference(monotonicity,[status(thm)],[29446])).
% 8.51/6.29 tff(29448,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s46)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s46)))),
% 8.51/6.29 inference(transitivity,[status(thm)],[29447, 29445])).
% 8.51/6.29 tff(29449,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s46)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s46))),
% 8.51/6.29 inference(quant_inst,[status(thm)],[])).
% 8.51/6.29 tff(29450,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s46))),
% 8.51/6.29 inference(modus_ponens,[status(thm)],[29449, 29448])).
% 8.51/6.29 tff(29451,plain,
% 8.51/6.29 ($false),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29450, 22690, 29444, 23114, 29443, 24569])).
% 8.51/6.29 tff(29452,plain,((~trans(s349, s46)) | until2p7(s46) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.29 tff(29453,plain,
% 8.51/6.29 (~trans(s349, s46)),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29452, 28954, 24569])).
% 8.51/6.29 tff(29454,assumption,(~until2p7(s317)), introduced(assumption)).
% 8.51/6.29 tff(29455,assumption,(trans(s349, s317)), introduced(assumption)).
% 8.51/6.29 tff(29456,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s317) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s317)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s317) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s317)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29457,plain,
% 8.51/6.29 (((~trans(s349, s317)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s317)) <=> (until2p7(s317) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s317)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29458,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s317)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s317) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s317))))),
% 8.51/6.29 inference(monotonicity,[status(thm)],[29457])).
% 8.51/6.29 tff(29459,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s317)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s317) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s317)))),
% 8.51/6.29 inference(transitivity,[status(thm)],[29458, 29456])).
% 8.51/6.29 tff(29460,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s317)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s317))),
% 8.51/6.29 inference(quant_inst,[status(thm)],[])).
% 8.51/6.29 tff(29461,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s317) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s317))),
% 8.51/6.29 inference(modus_ponens,[status(thm)],[29460, 29459])).
% 8.51/6.29 tff(29462,plain,
% 8.51/6.29 ($false),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29461, 22690, 29455, 23114, 29454, 24569])).
% 8.51/6.29 tff(29463,plain,((~trans(s349, s317)) | until2p7(s317) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.29 tff(29464,plain,
% 8.51/6.29 (~trans(s349, s317)),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29463, 27968, 24569])).
% 8.51/6.29 tff(29465,assumption,(~until2p7(s323)), introduced(assumption)).
% 8.51/6.29 tff(29466,assumption,(trans(s349, s323)), introduced(assumption)).
% 8.51/6.29 tff(29467,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s323) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s323)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s323) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s323)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29468,plain,
% 8.51/6.29 (((~trans(s349, s323)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s323)) <=> (until2p7(s323) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s323)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29469,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s323)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s323) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s323))))),
% 8.51/6.29 inference(monotonicity,[status(thm)],[29468])).
% 8.51/6.29 tff(29470,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s323)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s323) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s323)))),
% 8.51/6.29 inference(transitivity,[status(thm)],[29469, 29467])).
% 8.51/6.29 tff(29471,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s323)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s323))),
% 8.51/6.29 inference(quant_inst,[status(thm)],[])).
% 8.51/6.29 tff(29472,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s323) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s323))),
% 8.51/6.29 inference(modus_ponens,[status(thm)],[29471, 29470])).
% 8.51/6.29 tff(29473,plain,
% 8.51/6.29 ($false),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29472, 22690, 29466, 23114, 29465, 24569])).
% 8.51/6.29 tff(29474,plain,((~trans(s349, s323)) | until2p7(s323) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.29 tff(29475,plain,
% 8.51/6.29 (~trans(s349, s323)),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29474, 27944, 24569])).
% 8.51/6.29 tff(29476,assumption,(~until2p7(s82)), introduced(assumption)).
% 8.51/6.29 tff(29477,assumption,(trans(s349, s82)), introduced(assumption)).
% 8.51/6.29 tff(29478,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s82) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s82)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29479,plain,
% 8.51/6.29 (((~trans(s349, s82)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s82)) <=> (until2p7(s82) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s82)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29480,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s82)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s82) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s82))))),
% 8.51/6.29 inference(monotonicity,[status(thm)],[29479])).
% 8.51/6.29 tff(29481,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s82)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s82)))),
% 8.51/6.29 inference(transitivity,[status(thm)],[29480, 29478])).
% 8.51/6.29 tff(29482,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s82)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s82))),
% 8.51/6.29 inference(quant_inst,[status(thm)],[])).
% 8.51/6.29 tff(29483,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s82))),
% 8.51/6.29 inference(modus_ponens,[status(thm)],[29482, 29481])).
% 8.51/6.29 tff(29484,plain,
% 8.51/6.29 ($false),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29483, 22690, 29477, 23114, 29476, 24569])).
% 8.51/6.29 tff(29485,plain,((~trans(s349, s82)) | until2p7(s82) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.29 tff(29486,plain,
% 8.51/6.29 (~trans(s349, s82)),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29485, 28810, 24569])).
% 8.51/6.29 tff(29487,assumption,(~until2p7(s236)), introduced(assumption)).
% 8.51/6.29 tff(29488,assumption,(trans(s349, s236)), introduced(assumption)).
% 8.51/6.29 tff(29489,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s236) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s236)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s236) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s236)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29490,plain,
% 8.51/6.29 (((~trans(s349, s236)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s236)) <=> (until2p7(s236) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s236)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29491,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s236)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s236) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s236))))),
% 8.51/6.29 inference(monotonicity,[status(thm)],[29490])).
% 8.51/6.29 tff(29492,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s236)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s236) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s236)))),
% 8.51/6.29 inference(transitivity,[status(thm)],[29491, 29489])).
% 8.51/6.29 tff(29493,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s236)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s236))),
% 8.51/6.29 inference(quant_inst,[status(thm)],[])).
% 8.51/6.29 tff(29494,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s236) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s236))),
% 8.51/6.29 inference(modus_ponens,[status(thm)],[29493, 29492])).
% 8.51/6.29 tff(29495,plain,
% 8.51/6.29 ($false),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29494, 22690, 29488, 23114, 29487, 24569])).
% 8.51/6.29 tff(29496,plain,((~trans(s349, s236)) | until2p7(s236) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.29 tff(29497,plain,
% 8.51/6.29 (~trans(s349, s236)),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29496, 28278, 24569])).
% 8.51/6.29 tff(29498,assumption,(~until2p7(s129)), introduced(assumption)).
% 8.51/6.29 tff(29499,assumption,(trans(s349, s129)), introduced(assumption)).
% 8.51/6.29 tff(29500,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s129) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s129)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s129)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29501,plain,
% 8.51/6.29 (((~trans(s349, s129)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s129)) <=> (until2p7(s129) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s129)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29502,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s129)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s129) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s129))))),
% 8.51/6.29 inference(monotonicity,[status(thm)],[29501])).
% 8.51/6.29 tff(29503,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s129)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s129)))),
% 8.51/6.29 inference(transitivity,[status(thm)],[29502, 29500])).
% 8.51/6.29 tff(29504,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s129)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s129))),
% 8.51/6.29 inference(quant_inst,[status(thm)],[])).
% 8.51/6.29 tff(29505,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s129))),
% 8.51/6.29 inference(modus_ponens,[status(thm)],[29504, 29503])).
% 8.51/6.29 tff(29506,plain,
% 8.51/6.29 ($false),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29505, 22690, 29499, 23114, 29498, 24569])).
% 8.51/6.29 tff(29507,plain,((~trans(s349, s129)) | until2p7(s129) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.29 tff(29508,plain,
% 8.51/6.29 (~trans(s349, s129)),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29507, 28642, 24569])).
% 8.51/6.29 tff(29509,assumption,(~until2p7(s6)), introduced(assumption)).
% 8.51/6.29 tff(29510,assumption,(trans(s349, s6)), introduced(assumption)).
% 8.51/6.29 tff(29511,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s6)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29512,plain,
% 8.51/6.29 (((~trans(s349, s6)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s6)) <=> (until2p7(s6) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s6)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29513,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s6)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s6))))),
% 8.51/6.29 inference(monotonicity,[status(thm)],[29512])).
% 8.51/6.29 tff(29514,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s6)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s6)))),
% 8.51/6.29 inference(transitivity,[status(thm)],[29513, 29511])).
% 8.51/6.29 tff(29515,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s6)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s6))),
% 8.51/6.29 inference(quant_inst,[status(thm)],[])).
% 8.51/6.29 tff(29516,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s6))),
% 8.51/6.29 inference(modus_ponens,[status(thm)],[29515, 29514])).
% 8.51/6.29 tff(29517,plain,
% 8.51/6.29 ($false),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29516, 22690, 29510, 23114, 29509, 24569])).
% 8.51/6.29 tff(29518,plain,((~trans(s349, s6)) | until2p7(s6) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.29 tff(29519,plain,
% 8.51/6.29 (~trans(s349, s6)),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29518, 29224, 24569])).
% 8.51/6.29 tff(29520,assumption,(~until2p7(s202)), introduced(assumption)).
% 8.51/6.29 tff(29521,assumption,(trans(s349, s202)), introduced(assumption)).
% 8.51/6.29 tff(29522,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s202) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s202)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s202) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s202)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29523,plain,
% 8.51/6.29 (((~trans(s349, s202)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s202)) <=> (until2p7(s202) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s202)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29524,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s202)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s202) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s202))))),
% 8.51/6.29 inference(monotonicity,[status(thm)],[29523])).
% 8.51/6.29 tff(29525,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s202)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s202) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s202)))),
% 8.51/6.29 inference(transitivity,[status(thm)],[29524, 29522])).
% 8.51/6.29 tff(29526,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s202)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s202))),
% 8.51/6.29 inference(quant_inst,[status(thm)],[])).
% 8.51/6.29 tff(29527,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s202) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s202))),
% 8.51/6.29 inference(modus_ponens,[status(thm)],[29526, 29525])).
% 8.51/6.29 tff(29528,plain,
% 8.51/6.29 ($false),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29527, 22690, 29521, 23114, 29520, 24569])).
% 8.51/6.29 tff(29529,plain,((~trans(s349, s202)) | until2p7(s202) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.29 tff(29530,plain,
% 8.51/6.29 (~trans(s349, s202)),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29529, 28395, 24569])).
% 8.51/6.29 tff(29531,assumption,(~until2p7(s141)), introduced(assumption)).
% 8.51/6.29 tff(29532,assumption,(trans(s349, s141)), introduced(assumption)).
% 8.51/6.29 tff(29533,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s141) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s141)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s141)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29534,plain,
% 8.51/6.29 (((~trans(s349, s141)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s141)) <=> (until2p7(s141) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s141)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29535,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s141)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s141) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s141))))),
% 8.51/6.29 inference(monotonicity,[status(thm)],[29534])).
% 8.51/6.29 tff(29536,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s141)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s141)))),
% 8.51/6.29 inference(transitivity,[status(thm)],[29535, 29533])).
% 8.51/6.29 tff(29537,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s141)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s141))),
% 8.51/6.29 inference(quant_inst,[status(thm)],[])).
% 8.51/6.29 tff(29538,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s141))),
% 8.51/6.29 inference(modus_ponens,[status(thm)],[29537, 29536])).
% 8.51/6.29 tff(29539,plain,
% 8.51/6.29 ($false),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29538, 22690, 29532, 23114, 29531, 24569])).
% 8.51/6.29 tff(29540,plain,((~trans(s349, s141)) | until2p7(s141) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.29 tff(29541,plain,
% 8.51/6.29 (~trans(s349, s141)),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29540, 28600, 24569])).
% 8.51/6.29 tff(29542,assumption,(~until2p7(s99)), introduced(assumption)).
% 8.51/6.29 tff(29543,assumption,(trans(s349, s99)), introduced(assumption)).
% 8.51/6.29 tff(29544,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s99) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s99)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s99)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29545,plain,
% 8.51/6.29 (((~trans(s349, s99)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s99)) <=> (until2p7(s99) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s99)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29546,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s99)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s99) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s99))))),
% 8.51/6.29 inference(monotonicity,[status(thm)],[29545])).
% 8.51/6.29 tff(29547,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s99)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s99)))),
% 8.51/6.29 inference(transitivity,[status(thm)],[29546, 29544])).
% 8.51/6.29 tff(29548,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s99)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s99))),
% 8.51/6.29 inference(quant_inst,[status(thm)],[])).
% 8.51/6.29 tff(29549,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s99))),
% 8.51/6.29 inference(modus_ponens,[status(thm)],[29548, 29547])).
% 8.51/6.29 tff(29550,plain,
% 8.51/6.29 ($false),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29549, 22690, 29543, 23114, 29542, 24569])).
% 8.51/6.29 tff(29551,plain,((~trans(s349, s99)) | until2p7(s99) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.51/6.29 tff(29552,plain,
% 8.51/6.29 (~trans(s349, s99)),
% 8.51/6.29 inference(unit_resolution,[status(thm)],[29551, 28746, 24569])).
% 8.51/6.29 tff(29553,assumption,(~until2p7(s152)), introduced(assumption)).
% 8.51/6.29 tff(29554,assumption,(trans(s349, s152)), introduced(assumption)).
% 8.51/6.29 tff(29555,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s152) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s152)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s152)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29556,plain,
% 8.51/6.29 (((~trans(s349, s152)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s152)) <=> (until2p7(s152) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s152)))),
% 8.51/6.29 inference(rewrite,[status(thm)],[])).
% 8.51/6.29 tff(29557,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s152)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s152) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s152))))),
% 8.51/6.29 inference(monotonicity,[status(thm)],[29556])).
% 8.51/6.29 tff(29558,plain,
% 8.51/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s152)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s152)))),
% 8.51/6.29 inference(transitivity,[status(thm)],[29557, 29555])).
% 8.51/6.29 tff(29559,plain,
% 8.51/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s152)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s152))),
% 8.52/6.29 inference(quant_inst,[status(thm)],[])).
% 8.52/6.29 tff(29560,plain,
% 8.52/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s152))),
% 8.52/6.29 inference(modus_ponens,[status(thm)],[29559, 29558])).
% 8.52/6.29 tff(29561,plain,
% 8.52/6.29 ($false),
% 8.52/6.29 inference(unit_resolution,[status(thm)],[29560, 22690, 29554, 23114, 29553, 24569])).
% 8.52/6.29 tff(29562,plain,((~trans(s349, s152)) | until2p7(s152) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.29 tff(29563,plain,
% 8.52/6.29 (~trans(s349, s152)),
% 8.52/6.29 inference(unit_resolution,[status(thm)],[29562, 28563, 24569])).
% 8.52/6.29 tff(29564,assumption,(~until2p7(s301)), introduced(assumption)).
% 8.52/6.29 tff(29565,assumption,(trans(s349, s301)), introduced(assumption)).
% 8.52/6.29 tff(29566,plain,
% 8.52/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s301) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s301)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s301) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s301)))),
% 8.52/6.29 inference(rewrite,[status(thm)],[])).
% 8.52/6.29 tff(29567,plain,
% 8.52/6.29 (((~trans(s349, s301)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s301)) <=> (until2p7(s301) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s301)))),
% 8.52/6.29 inference(rewrite,[status(thm)],[])).
% 8.52/6.29 tff(29568,plain,
% 8.52/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s301)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s301) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s301))))),
% 8.52/6.29 inference(monotonicity,[status(thm)],[29567])).
% 8.52/6.29 tff(29569,plain,
% 8.52/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s301)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s301) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s301)))),
% 8.52/6.29 inference(transitivity,[status(thm)],[29568, 29566])).
% 8.52/6.29 tff(29570,plain,
% 8.52/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s301)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s301))),
% 8.52/6.29 inference(quant_inst,[status(thm)],[])).
% 8.52/6.29 tff(29571,plain,
% 8.52/6.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s301) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s301))),
% 8.52/6.29 inference(modus_ponens,[status(thm)],[29570, 29569])).
% 8.52/6.29 tff(29572,plain,
% 8.52/6.29 ($false),
% 8.52/6.29 inference(unit_resolution,[status(thm)],[29571, 22690, 29565, 23114, 29564, 24569])).
% 8.52/6.29 tff(29573,plain,((~trans(s349, s301)) | until2p7(s301) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.29 tff(29574,plain,
% 8.52/6.29 (~trans(s349, s301)),
% 8.52/6.29 inference(unit_resolution,[status(thm)],[29573, 28032, 24569])).
% 8.52/6.29 tff(29575,assumption,(~until2p7(s13)), introduced(assumption)).
% 8.52/6.29 tff(29576,assumption,(trans(s349, s13)), introduced(assumption)).
% 8.52/6.29 tff(29577,plain,
% 8.52/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s13)))),
% 8.52/6.29 inference(rewrite,[status(thm)],[])).
% 8.52/6.29 tff(29578,plain,
% 8.52/6.29 (((~trans(s349, s13)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s13)) <=> (until2p7(s13) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s13)))),
% 8.52/6.29 inference(rewrite,[status(thm)],[])).
% 8.52/6.29 tff(29579,plain,
% 8.52/6.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s13)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s13))))),
% 8.52/6.29 inference(monotonicity,[status(thm)],[29578])).
% 8.52/6.30 tff(29580,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s13)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s13)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29579, 29577])).
% 8.52/6.30 tff(29581,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s13)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s13))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29582,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s13))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29581, 29580])).
% 8.52/6.30 tff(29583,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29582, 22690, 29576, 23114, 29575, 24569])).
% 8.52/6.30 tff(29584,plain,((~trans(s349, s13)) | until2p7(s13) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29585,plain,
% 8.52/6.30 (~trans(s349, s13)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29584, 29186, 24569])).
% 8.52/6.30 tff(29586,assumption,(~until2p7(s223)), introduced(assumption)).
% 8.52/6.30 tff(29587,assumption,(trans(s349, s223)), introduced(assumption)).
% 8.52/6.30 tff(29588,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s223) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s223)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s223) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s223)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29589,plain,
% 8.52/6.30 (((~trans(s349, s223)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s223)) <=> (until2p7(s223) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s223)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29590,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s223)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s223) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s223))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29589])).
% 8.52/6.30 tff(29591,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s223)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s223) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s223)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29590, 29588])).
% 8.52/6.30 tff(29592,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s223)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s223))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29593,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s223) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s223))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29592, 29591])).
% 8.52/6.30 tff(29594,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29593, 22690, 29587, 23114, 29586, 24569])).
% 8.52/6.30 tff(29595,plain,((~trans(s349, s223)) | until2p7(s223) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29596,plain,
% 8.52/6.30 (~trans(s349, s223)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29595, 28324, 24569])).
% 8.52/6.30 tff(29597,assumption,(~until2p7(s142)), introduced(assumption)).
% 8.52/6.30 tff(29598,assumption,(trans(s349, s142)), introduced(assumption)).
% 8.52/6.30 tff(29599,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s142) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s142)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s142)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29600,plain,
% 8.52/6.30 (((~trans(s349, s142)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s142)) <=> (until2p7(s142) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s142)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29601,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s142)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s142) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s142))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29600])).
% 8.52/6.30 tff(29602,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s142)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s142)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29601, 29599])).
% 8.52/6.30 tff(29603,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s142)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s142))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29604,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s142))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29603, 29602])).
% 8.52/6.30 tff(29605,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29604, 22690, 29598, 23114, 29597, 24569])).
% 8.52/6.30 tff(29606,plain,((~trans(s349, s142)) | until2p7(s142) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29607,plain,
% 8.52/6.30 (~trans(s349, s142)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29606, 28597, 24569])).
% 8.52/6.30 tff(29608,assumption,(~until2p7(s218)), introduced(assumption)).
% 8.52/6.30 tff(29609,assumption,(trans(s349, s218)), introduced(assumption)).
% 8.52/6.30 tff(29610,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s218) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s218)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s218) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s218)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29611,plain,
% 8.52/6.30 (((~trans(s349, s218)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s218)) <=> (until2p7(s218) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s218)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29612,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s218)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s218) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s218))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29611])).
% 8.52/6.30 tff(29613,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s218)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s218) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s218)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29612, 29610])).
% 8.52/6.30 tff(29614,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s218)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s218))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29615,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s218) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s218))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29614, 29613])).
% 8.52/6.30 tff(29616,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29615, 22690, 29609, 23114, 29608, 24569])).
% 8.52/6.30 tff(29617,plain,((~trans(s349, s218)) | until2p7(s218) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29618,plain,
% 8.52/6.30 (~trans(s349, s218)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29617, 28340, 24569])).
% 8.52/6.30 tff(29619,assumption,(~until2p7(s240)), introduced(assumption)).
% 8.52/6.30 tff(29620,assumption,(trans(s349, s240)), introduced(assumption)).
% 8.52/6.30 tff(29621,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s240) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s240)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s240) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s240)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29622,plain,
% 8.52/6.30 (((~trans(s349, s240)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s240)) <=> (until2p7(s240) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s240)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29623,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s240)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s240) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s240))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29622])).
% 8.52/6.30 tff(29624,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s240)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s240) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s240)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29623, 29621])).
% 8.52/6.30 tff(29625,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s240)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s240))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29626,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s240) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s240))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29625, 29624])).
% 8.52/6.30 tff(29627,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29626, 22690, 29620, 23114, 29619, 24569])).
% 8.52/6.30 tff(29628,plain,((~trans(s349, s240)) | until2p7(s240) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29629,plain,
% 8.52/6.30 (~trans(s349, s240)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29628, 28264, 24569])).
% 8.52/6.30 tff(29630,assumption,(~until2p7(s3)), introduced(assumption)).
% 8.52/6.30 tff(29631,assumption,(trans(s349, s3)), introduced(assumption)).
% 8.52/6.30 tff(29632,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s3)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29633,plain,
% 8.52/6.30 (((~trans(s349, s3)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s3)) <=> (until2p7(s3) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s3)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29634,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s3)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s3))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29633])).
% 8.52/6.30 tff(29635,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s3)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s3)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29634, 29632])).
% 8.52/6.30 tff(29636,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s3)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s3))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29637,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s3))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29636, 29635])).
% 8.52/6.30 tff(29638,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29637, 22690, 29631, 23114, 29630, 24569])).
% 8.52/6.30 tff(29639,plain,((~trans(s349, s3)) | until2p7(s3) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29640,plain,
% 8.52/6.30 (~trans(s349, s3)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29639, 29256, 24569])).
% 8.52/6.30 tff(29641,assumption,(~until2p7(s250)), introduced(assumption)).
% 8.52/6.30 tff(29642,assumption,(trans(s349, s250)), introduced(assumption)).
% 8.52/6.30 tff(29643,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s250) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s250)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s250) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s250)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29644,plain,
% 8.52/6.30 (((~trans(s349, s250)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s250)) <=> (until2p7(s250) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s250)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29645,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s250)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s250) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s250))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29644])).
% 8.52/6.30 tff(29646,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s250)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s250) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s250)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29645, 29643])).
% 8.52/6.30 tff(29647,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s250)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s250))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29648,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s250) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s250))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29647, 29646])).
% 8.52/6.30 tff(29649,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29648, 22690, 29642, 23114, 29641, 24569])).
% 8.52/6.30 tff(29650,plain,((~trans(s349, s250)) | until2p7(s250) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29651,plain,
% 8.52/6.30 (~trans(s349, s250)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29650, 28227, 24569])).
% 8.52/6.30 tff(29652,assumption,(~until2p7(s4)), introduced(assumption)).
% 8.52/6.30 tff(29653,assumption,(trans(s349, s4)), introduced(assumption)).
% 8.52/6.30 tff(29654,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s4)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29655,plain,
% 8.52/6.30 (((~trans(s349, s4)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s4)) <=> (until2p7(s4) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s4)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29656,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s4)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s4))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29655])).
% 8.52/6.30 tff(29657,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s4)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s4)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29656, 29654])).
% 8.52/6.30 tff(29658,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s4)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s4))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29659,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s4))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29658, 29657])).
% 8.52/6.30 tff(29660,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29659, 22690, 29653, 23114, 29652, 24569])).
% 8.52/6.30 tff(29661,plain,((~trans(s349, s4)) | until2p7(s4) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29662,plain,
% 8.52/6.30 (~trans(s349, s4)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29661, 29245, 24569])).
% 8.52/6.30 tff(29663,assumption,(~until2p7(s169)), introduced(assumption)).
% 8.52/6.30 tff(29664,assumption,(trans(s349, s169)), introduced(assumption)).
% 8.52/6.30 tff(29665,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s169) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s169)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s169)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29666,plain,
% 8.52/6.30 (((~trans(s349, s169)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s169)) <=> (until2p7(s169) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s169)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29667,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s169)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s169) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s169))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29666])).
% 8.52/6.30 tff(29668,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s169)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s169)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29667, 29665])).
% 8.52/6.30 tff(29669,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s169)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s169))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29670,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s169))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29669, 29668])).
% 8.52/6.30 tff(29671,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29670, 22690, 29664, 23114, 29663, 24569])).
% 8.52/6.30 tff(29672,plain,((~trans(s349, s169)) | until2p7(s169) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29673,plain,
% 8.52/6.30 (~trans(s349, s169)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29672, 28507, 24569])).
% 8.52/6.30 tff(29674,assumption,(~until2p7(s138)), introduced(assumption)).
% 8.52/6.30 tff(29675,assumption,(trans(s349, s138)), introduced(assumption)).
% 8.52/6.30 tff(29676,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s138) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s138)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s138)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29677,plain,
% 8.52/6.30 (((~trans(s349, s138)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s138)) <=> (until2p7(s138) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s138)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29678,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s138)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s138) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s138))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29677])).
% 8.52/6.30 tff(29679,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s138)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s138)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29678, 29676])).
% 8.52/6.30 tff(29680,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s138)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s138))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29681,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s138))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29680, 29679])).
% 8.52/6.30 tff(29682,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29681, 22690, 29675, 23114, 29674, 24569])).
% 8.52/6.30 tff(29683,plain,((~trans(s349, s138)) | until2p7(s138) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29684,plain,
% 8.52/6.30 (~trans(s349, s138)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29683, 28611, 24569])).
% 8.52/6.30 tff(29685,assumption,(~until2p7(s173)), introduced(assumption)).
% 8.52/6.30 tff(29686,assumption,(trans(s349, s173)), introduced(assumption)).
% 8.52/6.30 tff(29687,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s173) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s173)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s173)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29688,plain,
% 8.52/6.30 (((~trans(s349, s173)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s173)) <=> (until2p7(s173) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s173)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29689,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s173)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s173) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s173))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29688])).
% 8.52/6.30 tff(29690,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s173)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s173)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29689, 29687])).
% 8.52/6.30 tff(29691,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s173)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s173))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29692,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s173))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29691, 29690])).
% 8.52/6.30 tff(29693,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29692, 22690, 29686, 23114, 29685, 24569])).
% 8.52/6.30 tff(29694,plain,((~trans(s349, s173)) | until2p7(s173) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29695,plain,
% 8.52/6.30 (~trans(s349, s173)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29694, 28494, 24569])).
% 8.52/6.30 tff(29696,assumption,(~until2p7(s216)), introduced(assumption)).
% 8.52/6.30 tff(29697,assumption,(trans(s349, s216)), introduced(assumption)).
% 8.52/6.30 tff(29698,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s216) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s216)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s216) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s216)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29699,plain,
% 8.52/6.30 (((~trans(s349, s216)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s216)) <=> (until2p7(s216) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s216)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29700,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s216)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s216) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s216))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29699])).
% 8.52/6.30 tff(29701,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s216)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s216) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s216)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29700, 29698])).
% 8.52/6.30 tff(29702,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s216)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s216))),
% 8.52/6.30 inference(quant_inst,[status(thm)],[])).
% 8.52/6.30 tff(29703,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s216) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s216))),
% 8.52/6.30 inference(modus_ponens,[status(thm)],[29702, 29701])).
% 8.52/6.30 tff(29704,plain,
% 8.52/6.30 ($false),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29703, 22690, 29697, 23114, 29696, 24569])).
% 8.52/6.30 tff(29705,plain,((~trans(s349, s216)) | until2p7(s216) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.30 tff(29706,plain,
% 8.52/6.30 (~trans(s349, s216)),
% 8.52/6.30 inference(unit_resolution,[status(thm)],[29705, 28346, 24569])).
% 8.52/6.30 tff(29707,assumption,(~until2p7(s220)), introduced(assumption)).
% 8.52/6.30 tff(29708,assumption,(trans(s349, s220)), introduced(assumption)).
% 8.52/6.30 tff(29709,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s220) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s220)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s220) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s220)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29710,plain,
% 8.52/6.30 (((~trans(s349, s220)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s220)) <=> (until2p7(s220) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s220)))),
% 8.52/6.30 inference(rewrite,[status(thm)],[])).
% 8.52/6.30 tff(29711,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s220)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s220) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s220))))),
% 8.52/6.30 inference(monotonicity,[status(thm)],[29710])).
% 8.52/6.30 tff(29712,plain,
% 8.52/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s220)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s220) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s220)))),
% 8.52/6.30 inference(transitivity,[status(thm)],[29711, 29709])).
% 8.52/6.30 tff(29713,plain,
% 8.52/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s220)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s220))),
% 8.52/6.31 inference(quant_inst,[status(thm)],[])).
% 8.52/6.31 tff(29714,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s220) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s220))),
% 8.52/6.31 inference(modus_ponens,[status(thm)],[29713, 29712])).
% 8.52/6.31 tff(29715,plain,
% 8.52/6.31 ($false),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29714, 22690, 29708, 23114, 29707, 24569])).
% 8.52/6.31 tff(29716,plain,((~trans(s349, s220)) | until2p7(s220) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.31 tff(29717,plain,
% 8.52/6.31 (~trans(s349, s220)),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29716, 28333, 24569])).
% 8.52/6.31 tff(29718,assumption,(~until2p7(s36)), introduced(assumption)).
% 8.52/6.31 tff(29719,assumption,(trans(s349, s36)), introduced(assumption)).
% 8.52/6.31 tff(29720,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s36)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29721,plain,
% 8.52/6.31 (((~trans(s349, s36)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s36)) <=> (until2p7(s36) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s36)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29722,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s36)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s36))))),
% 8.52/6.31 inference(monotonicity,[status(thm)],[29721])).
% 8.52/6.31 tff(29723,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s36)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s36)))),
% 8.52/6.31 inference(transitivity,[status(thm)],[29722, 29720])).
% 8.52/6.31 tff(29724,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s36)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s36))),
% 8.52/6.31 inference(quant_inst,[status(thm)],[])).
% 8.52/6.31 tff(29725,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s36))),
% 8.52/6.31 inference(modus_ponens,[status(thm)],[29724, 29723])).
% 8.52/6.31 tff(29726,plain,
% 8.52/6.31 ($false),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29725, 22690, 29719, 23114, 29718, 24569])).
% 8.52/6.31 tff(29727,plain,((~trans(s349, s36)) | until2p7(s36) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.31 tff(29728,plain,
% 8.52/6.31 (~trans(s349, s36)),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29727, 28992, 24569])).
% 8.52/6.31 tff(29729,assumption,(~until2p7(s296)), introduced(assumption)).
% 8.52/6.31 tff(29730,assumption,(trans(s349, s296)), introduced(assumption)).
% 8.52/6.31 tff(29731,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s296) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s296)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s296) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s296)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29732,plain,
% 8.52/6.31 (((~trans(s349, s296)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s296)) <=> (until2p7(s296) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s296)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29733,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s296)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s296) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s296))))),
% 8.52/6.31 inference(monotonicity,[status(thm)],[29732])).
% 8.52/6.31 tff(29734,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s296)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s296) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s296)))),
% 8.52/6.31 inference(transitivity,[status(thm)],[29733, 29731])).
% 8.52/6.31 tff(29735,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s296)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s296))),
% 8.52/6.31 inference(quant_inst,[status(thm)],[])).
% 8.52/6.31 tff(29736,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s296) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s296))),
% 8.52/6.31 inference(modus_ponens,[status(thm)],[29735, 29734])).
% 8.52/6.31 tff(29737,plain,
% 8.52/6.31 ($false),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29736, 22690, 29730, 23114, 29729, 24569])).
% 8.52/6.31 tff(29738,plain,((~trans(s349, s296)) | until2p7(s296) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.31 tff(29739,plain,
% 8.52/6.31 (~trans(s349, s296)),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29738, 28052, 24569])).
% 8.52/6.31 tff(29740,assumption,(~until2p7(s110)), introduced(assumption)).
% 8.52/6.31 tff(29741,assumption,(trans(s349, s110)), introduced(assumption)).
% 8.52/6.31 tff(29742,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s110) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s110)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s110)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29743,plain,
% 8.52/6.31 (((~trans(s349, s110)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s110)) <=> (until2p7(s110) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s110)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29744,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s110)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s110) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s110))))),
% 8.52/6.31 inference(monotonicity,[status(thm)],[29743])).
% 8.52/6.31 tff(29745,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s110)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s110)))),
% 8.52/6.31 inference(transitivity,[status(thm)],[29744, 29742])).
% 8.52/6.31 tff(29746,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s110)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s110))),
% 8.52/6.31 inference(quant_inst,[status(thm)],[])).
% 8.52/6.31 tff(29747,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s110))),
% 8.52/6.31 inference(modus_ponens,[status(thm)],[29746, 29745])).
% 8.52/6.31 tff(29748,plain,
% 8.52/6.31 ($false),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29747, 22690, 29741, 23114, 29740, 24569])).
% 8.52/6.31 tff(29749,plain,((~trans(s349, s110)) | until2p7(s110) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.31 tff(29750,plain,
% 8.52/6.31 (~trans(s349, s110)),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29749, 28707, 24569])).
% 8.52/6.31 tff(29751,assumption,(~until2p7(s345)), introduced(assumption)).
% 8.52/6.31 tff(29752,assumption,(trans(s349, s345)), introduced(assumption)).
% 8.52/6.31 tff(29753,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s345) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s345)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s345) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s345)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29754,plain,
% 8.52/6.31 (((~trans(s349, s345)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s345)) <=> (until2p7(s345) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s345)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29755,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s345)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s345) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s345))))),
% 8.52/6.31 inference(monotonicity,[status(thm)],[29754])).
% 8.52/6.31 tff(29756,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s345)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s345) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s345)))),
% 8.52/6.31 inference(transitivity,[status(thm)],[29755, 29753])).
% 8.52/6.31 tff(29757,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s345)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s345))),
% 8.52/6.31 inference(quant_inst,[status(thm)],[])).
% 8.52/6.31 tff(29758,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s345) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s345))),
% 8.52/6.31 inference(modus_ponens,[status(thm)],[29757, 29756])).
% 8.52/6.31 tff(29759,plain,
% 8.52/6.31 ($false),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29758, 22690, 29752, 23114, 29751, 24569])).
% 8.52/6.31 tff(29760,plain,((~trans(s349, s345)) | until2p7(s345) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.31 tff(29761,plain,
% 8.52/6.31 (~trans(s349, s345)),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29760, 27856, 24569])).
% 8.52/6.31 tff(29762,assumption,(~until2p7(s42)), introduced(assumption)).
% 8.52/6.31 tff(29763,assumption,(trans(s349, s42)), introduced(assumption)).
% 8.52/6.31 tff(29764,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s42)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29765,plain,
% 8.52/6.31 (((~trans(s349, s42)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s42)) <=> (until2p7(s42) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s42)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29766,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s42)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s42))))),
% 8.52/6.31 inference(monotonicity,[status(thm)],[29765])).
% 8.52/6.31 tff(29767,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s42)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s42)))),
% 8.52/6.31 inference(transitivity,[status(thm)],[29766, 29764])).
% 8.52/6.31 tff(29768,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s42)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s42))),
% 8.52/6.31 inference(quant_inst,[status(thm)],[])).
% 8.52/6.31 tff(29769,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s42))),
% 8.52/6.31 inference(modus_ponens,[status(thm)],[29768, 29767])).
% 8.52/6.31 tff(29770,plain,
% 8.52/6.31 ($false),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29769, 22690, 29763, 23114, 29762, 24569])).
% 8.52/6.31 tff(29771,plain,((~trans(s349, s42)) | until2p7(s42) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.31 tff(29772,plain,
% 8.52/6.31 (~trans(s349, s42)),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29771, 28970, 24569])).
% 8.52/6.31 tff(29773,assumption,(~until2p7(s90)), introduced(assumption)).
% 8.52/6.31 tff(29774,assumption,(trans(s349, s90)), introduced(assumption)).
% 8.52/6.31 tff(29775,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s90) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s90)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29776,plain,
% 8.52/6.31 (((~trans(s349, s90)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s90)) <=> (until2p7(s90) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s90)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29777,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s90)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s90) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s90))))),
% 8.52/6.31 inference(monotonicity,[status(thm)],[29776])).
% 8.52/6.31 tff(29778,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s90)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s90)))),
% 8.52/6.31 inference(transitivity,[status(thm)],[29777, 29775])).
% 8.52/6.31 tff(29779,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s90)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s90))),
% 8.52/6.31 inference(quant_inst,[status(thm)],[])).
% 8.52/6.31 tff(29780,plain,
% 8.52/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s90))),
% 8.52/6.31 inference(modus_ponens,[status(thm)],[29779, 29778])).
% 8.52/6.31 tff(29781,plain,
% 8.52/6.31 ($false),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29780, 22690, 29774, 23114, 29773, 24569])).
% 8.52/6.31 tff(29782,plain,((~trans(s349, s90)) | until2p7(s90) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.52/6.31 tff(29783,plain,
% 8.52/6.31 (~trans(s349, s90)),
% 8.52/6.31 inference(unit_resolution,[status(thm)],[29782, 28778, 24569])).
% 8.52/6.31 tff(29784,assumption,(~until2p7(s70)), introduced(assumption)).
% 8.52/6.31 tff(29785,assumption,(trans(s349, s70)), introduced(assumption)).
% 8.52/6.31 tff(29786,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s70) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s70)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29787,plain,
% 8.52/6.31 (((~trans(s349, s70)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s70)) <=> (until2p7(s70) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s70)))),
% 8.52/6.31 inference(rewrite,[status(thm)],[])).
% 8.52/6.31 tff(29788,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s70)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s70) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s70))))),
% 8.52/6.31 inference(monotonicity,[status(thm)],[29787])).
% 8.52/6.31 tff(29789,plain,
% 8.52/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s70)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s70)))),
% 8.52/6.31 inference(transitivity,[status(thm)],[29788, 29786])).
% 8.54/6.31 tff(29790,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s70)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s70))),
% 8.54/6.31 inference(quant_inst,[status(thm)],[])).
% 8.54/6.31 tff(29791,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s70))),
% 8.54/6.31 inference(modus_ponens,[status(thm)],[29790, 29789])).
% 8.54/6.31 tff(29792,plain,
% 8.54/6.31 ($false),
% 8.54/6.31 inference(unit_resolution,[status(thm)],[29791, 22690, 29785, 23114, 29784, 24569])).
% 8.54/6.31 tff(29793,plain,((~trans(s349, s70)) | until2p7(s70) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.31 tff(29794,plain,
% 8.54/6.31 (~trans(s349, s70)),
% 8.54/6.31 inference(unit_resolution,[status(thm)],[29793, 28858, 24569])).
% 8.54/6.31 tff(29795,assumption,(~until2p7(s5)), introduced(assumption)).
% 8.54/6.31 tff(29796,assumption,(trans(s349, s5)), introduced(assumption)).
% 8.54/6.31 tff(29797,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s5)))),
% 8.54/6.31 inference(rewrite,[status(thm)],[])).
% 8.54/6.31 tff(29798,plain,
% 8.54/6.31 (((~trans(s349, s5)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s5)) <=> (until2p7(s5) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s5)))),
% 8.54/6.31 inference(rewrite,[status(thm)],[])).
% 8.54/6.31 tff(29799,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s5)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s5))))),
% 8.54/6.31 inference(monotonicity,[status(thm)],[29798])).
% 8.54/6.31 tff(29800,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s5)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s5)))),
% 8.54/6.31 inference(transitivity,[status(thm)],[29799, 29797])).
% 8.54/6.31 tff(29801,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s5)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s5))),
% 8.54/6.31 inference(quant_inst,[status(thm)],[])).
% 8.54/6.31 tff(29802,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s5))),
% 8.54/6.31 inference(modus_ponens,[status(thm)],[29801, 29800])).
% 8.54/6.31 tff(29803,plain,
% 8.54/6.31 ($false),
% 8.54/6.31 inference(unit_resolution,[status(thm)],[29802, 22690, 29796, 23114, 29795, 24569])).
% 8.54/6.31 tff(29804,plain,((~trans(s349, s5)) | until2p7(s5) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.31 tff(29805,plain,
% 8.54/6.31 (~trans(s349, s5)),
% 8.54/6.31 inference(unit_resolution,[status(thm)],[29804, 29234, 24569])).
% 8.54/6.31 tff(29806,assumption,(~until2p7(s111)), introduced(assumption)).
% 8.54/6.31 tff(29807,assumption,(trans(s349, s111)), introduced(assumption)).
% 8.54/6.31 tff(29808,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s111) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s111)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s111)))),
% 8.54/6.31 inference(rewrite,[status(thm)],[])).
% 8.54/6.31 tff(29809,plain,
% 8.54/6.31 (((~trans(s349, s111)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s111)) <=> (until2p7(s111) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s111)))),
% 8.54/6.31 inference(rewrite,[status(thm)],[])).
% 8.54/6.31 tff(29810,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s111)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s111) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s111))))),
% 8.54/6.31 inference(monotonicity,[status(thm)],[29809])).
% 8.54/6.31 tff(29811,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s111)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s111)))),
% 8.54/6.31 inference(transitivity,[status(thm)],[29810, 29808])).
% 8.54/6.31 tff(29812,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s111)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s111))),
% 8.54/6.31 inference(quant_inst,[status(thm)],[])).
% 8.54/6.31 tff(29813,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s111))),
% 8.54/6.31 inference(modus_ponens,[status(thm)],[29812, 29811])).
% 8.54/6.31 tff(29814,plain,
% 8.54/6.31 ($false),
% 8.54/6.31 inference(unit_resolution,[status(thm)],[29813, 22690, 29807, 23114, 29806, 24569])).
% 8.54/6.31 tff(29815,plain,((~trans(s349, s111)) | until2p7(s111) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.31 tff(29816,plain,
% 8.54/6.31 (~trans(s349, s111)),
% 8.54/6.31 inference(unit_resolution,[status(thm)],[29815, 28704, 24569])).
% 8.54/6.31 tff(29817,assumption,(~until2p7(s105)), introduced(assumption)).
% 8.54/6.31 tff(29818,assumption,(trans(s349, s105)), introduced(assumption)).
% 8.54/6.31 tff(29819,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s105) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s105)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s105)))),
% 8.54/6.31 inference(rewrite,[status(thm)],[])).
% 8.54/6.31 tff(29820,plain,
% 8.54/6.31 (((~trans(s349, s105)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s105)) <=> (until2p7(s105) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s105)))),
% 8.54/6.31 inference(rewrite,[status(thm)],[])).
% 8.54/6.31 tff(29821,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s105)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s105) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s105))))),
% 8.54/6.31 inference(monotonicity,[status(thm)],[29820])).
% 8.54/6.31 tff(29822,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s105)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s105)))),
% 8.54/6.31 inference(transitivity,[status(thm)],[29821, 29819])).
% 8.54/6.31 tff(29823,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s105)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s105))),
% 8.54/6.31 inference(quant_inst,[status(thm)],[])).
% 8.54/6.31 tff(29824,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s105))),
% 8.54/6.31 inference(modus_ponens,[status(thm)],[29823, 29822])).
% 8.54/6.31 tff(29825,plain,
% 8.54/6.31 ($false),
% 8.54/6.31 inference(unit_resolution,[status(thm)],[29824, 22690, 29818, 23114, 29817, 24569])).
% 8.54/6.31 tff(29826,plain,((~trans(s349, s105)) | until2p7(s105) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.31 tff(29827,plain,
% 8.54/6.31 (~trans(s349, s105)),
% 8.54/6.31 inference(unit_resolution,[status(thm)],[29826, 28725, 24569])).
% 8.54/6.31 tff(29828,assumption,(~until2p7(s104)), introduced(assumption)).
% 8.54/6.31 tff(29829,assumption,(trans(s349, s104)), introduced(assumption)).
% 8.54/6.31 tff(29830,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s104) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s104)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s104)))),
% 8.54/6.31 inference(rewrite,[status(thm)],[])).
% 8.54/6.31 tff(29831,plain,
% 8.54/6.31 (((~trans(s349, s104)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s104)) <=> (until2p7(s104) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s104)))),
% 8.54/6.31 inference(rewrite,[status(thm)],[])).
% 8.54/6.31 tff(29832,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s104)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s104) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s104))))),
% 8.54/6.31 inference(monotonicity,[status(thm)],[29831])).
% 8.54/6.31 tff(29833,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s104)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s104)))),
% 8.54/6.31 inference(transitivity,[status(thm)],[29832, 29830])).
% 8.54/6.31 tff(29834,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s104)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s104))),
% 8.54/6.31 inference(quant_inst,[status(thm)],[])).
% 8.54/6.31 tff(29835,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s104))),
% 8.54/6.31 inference(modus_ponens,[status(thm)],[29834, 29833])).
% 8.54/6.31 tff(29836,plain,
% 8.54/6.31 ($false),
% 8.54/6.31 inference(unit_resolution,[status(thm)],[29835, 22690, 29829, 23114, 29828, 24569])).
% 8.54/6.31 tff(29837,plain,((~trans(s349, s104)) | until2p7(s104) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.31 tff(29838,plain,
% 8.54/6.31 (~trans(s349, s104)),
% 8.54/6.31 inference(unit_resolution,[status(thm)],[29837, 28728, 24569])).
% 8.54/6.31 tff(29839,assumption,(~until2p7(s164)), introduced(assumption)).
% 8.54/6.31 tff(29840,assumption,(trans(s349, s164)), introduced(assumption)).
% 8.54/6.31 tff(29841,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s164) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s164)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s164)))),
% 8.54/6.31 inference(rewrite,[status(thm)],[])).
% 8.54/6.31 tff(29842,plain,
% 8.54/6.31 (((~trans(s349, s164)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s164)) <=> (until2p7(s164) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s164)))),
% 8.54/6.31 inference(rewrite,[status(thm)],[])).
% 8.54/6.31 tff(29843,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s164)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s164) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s164))))),
% 8.54/6.31 inference(monotonicity,[status(thm)],[29842])).
% 8.54/6.31 tff(29844,plain,
% 8.54/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s164)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s164)))),
% 8.54/6.31 inference(transitivity,[status(thm)],[29843, 29841])).
% 8.54/6.31 tff(29845,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s164)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s164))),
% 8.54/6.31 inference(quant_inst,[status(thm)],[])).
% 8.54/6.31 tff(29846,plain,
% 8.54/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s164))),
% 8.54/6.31 inference(modus_ponens,[status(thm)],[29845, 29844])).
% 8.54/6.31 tff(29847,plain,
% 8.54/6.31 ($false),
% 8.54/6.31 inference(unit_resolution,[status(thm)],[29846, 22690, 29840, 23114, 29839, 24569])).
% 8.54/6.32 tff(29848,plain,((~trans(s349, s164)) | until2p7(s164) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29849,plain,
% 8.54/6.32 (~trans(s349, s164)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29848, 28523, 24569])).
% 8.54/6.32 tff(29850,assumption,(~until2p7(s73)), introduced(assumption)).
% 8.54/6.32 tff(29851,assumption,(trans(s349, s73)), introduced(assumption)).
% 8.54/6.32 tff(29852,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s73) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s73)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29853,plain,
% 8.54/6.32 (((~trans(s349, s73)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s73)) <=> (until2p7(s73) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s73)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29854,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s73)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s73) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s73))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29853])).
% 8.54/6.32 tff(29855,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s73)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s73)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29854, 29852])).
% 8.54/6.32 tff(29856,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s73)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s73))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29857,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s73))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29856, 29855])).
% 8.54/6.32 tff(29858,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29857, 22690, 29851, 23114, 29850, 24569])).
% 8.54/6.32 tff(29859,plain,((~trans(s349, s73)) | until2p7(s73) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29860,plain,
% 8.54/6.32 (~trans(s349, s73)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29859, 28846, 24569])).
% 8.54/6.32 tff(29861,assumption,(~until2p7(s159)), introduced(assumption)).
% 8.54/6.32 tff(29862,assumption,(trans(s349, s159)), introduced(assumption)).
% 8.54/6.32 tff(29863,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s159) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s159)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s159)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29864,plain,
% 8.54/6.32 (((~trans(s349, s159)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s159)) <=> (until2p7(s159) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s159)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29865,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s159)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s159) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s159))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29864])).
% 8.54/6.32 tff(29866,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s159)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s159)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29865, 29863])).
% 8.54/6.32 tff(29867,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s159)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s159))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29868,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s159))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29867, 29866])).
% 8.54/6.32 tff(29869,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29868, 22690, 29862, 23114, 29861, 24569])).
% 8.54/6.32 tff(29870,plain,((~trans(s349, s159)) | until2p7(s159) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29871,plain,
% 8.54/6.32 (~trans(s349, s159)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29870, 28540, 24569])).
% 8.54/6.32 tff(29872,assumption,(~until2p7(s150)), introduced(assumption)).
% 8.54/6.32 tff(29873,assumption,(trans(s349, s150)), introduced(assumption)).
% 8.54/6.32 tff(29874,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s150) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s150)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s150)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29875,plain,
% 8.54/6.32 (((~trans(s349, s150)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s150)) <=> (until2p7(s150) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s150)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29876,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s150)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s150) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s150))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29875])).
% 8.54/6.32 tff(29877,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s150)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s150)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29876, 29874])).
% 8.54/6.32 tff(29878,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s150)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s150))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29879,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s150))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29878, 29877])).
% 8.54/6.32 tff(29880,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29879, 22690, 29873, 23114, 29872, 24569])).
% 8.54/6.32 tff(29881,plain,((~trans(s349, s150)) | until2p7(s150) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29882,plain,
% 8.54/6.32 (~trans(s349, s150)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29881, 28570, 24569])).
% 8.54/6.32 tff(29883,assumption,(~until2p7(s107)), introduced(assumption)).
% 8.54/6.32 tff(29884,assumption,(trans(s349, s107)), introduced(assumption)).
% 8.54/6.32 tff(29885,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s107) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s107)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s107)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29886,plain,
% 8.54/6.32 (((~trans(s349, s107)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s107)) <=> (until2p7(s107) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s107)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29887,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s107)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s107) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s107))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29886])).
% 8.54/6.32 tff(29888,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s107)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s107)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29887, 29885])).
% 8.54/6.32 tff(29889,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s107)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s107))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29890,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s107))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29889, 29888])).
% 8.54/6.32 tff(29891,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29890, 22690, 29884, 23114, 29883, 24569])).
% 8.54/6.32 tff(29892,plain,((~trans(s349, s107)) | until2p7(s107) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29893,plain,
% 8.54/6.32 (~trans(s349, s107)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29892, 28718, 24569])).
% 8.54/6.32 tff(29894,assumption,(~until2p7(s22)), introduced(assumption)).
% 8.54/6.32 tff(29895,assumption,(trans(s349, s22)), introduced(assumption)).
% 8.54/6.32 tff(29896,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s22)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29897,plain,
% 8.54/6.32 (((~trans(s349, s22)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s22)) <=> (until2p7(s22) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s22)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29898,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s22)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s22))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29897])).
% 8.54/6.32 tff(29899,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s22)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s22)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29898, 29896])).
% 8.54/6.32 tff(29900,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s22)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s22))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29901,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s22))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29900, 29899])).
% 8.54/6.32 tff(29902,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29901, 22690, 29895, 23114, 29894, 24569])).
% 8.54/6.32 tff(29903,plain,((~trans(s349, s22)) | until2p7(s22) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29904,plain,
% 8.54/6.32 (~trans(s349, s22)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29903, 29058, 24569])).
% 8.54/6.32 tff(29905,assumption,(~until2p7(s32)), introduced(assumption)).
% 8.54/6.32 tff(29906,assumption,(trans(s349, s32)), introduced(assumption)).
% 8.54/6.32 tff(29907,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s32)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29908,plain,
% 8.54/6.32 (((~trans(s349, s32)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s32)) <=> (until2p7(s32) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s32)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29909,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s32)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s32))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29908])).
% 8.54/6.32 tff(29910,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s32)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s32)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29909, 29907])).
% 8.54/6.32 tff(29911,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s32)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s32))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29912,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s32))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29911, 29910])).
% 8.54/6.32 tff(29913,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29912, 22690, 29906, 23114, 29905, 24569])).
% 8.54/6.32 tff(29914,plain,((~trans(s349, s32)) | until2p7(s32) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29915,plain,
% 8.54/6.32 (~trans(s349, s32)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29914, 29006, 24569])).
% 8.54/6.32 tff(29916,assumption,(~until2p7(s215)), introduced(assumption)).
% 8.54/6.32 tff(29917,assumption,(trans(s349, s215)), introduced(assumption)).
% 8.54/6.32 tff(29918,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s215) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s215)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s215) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s215)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29919,plain,
% 8.54/6.32 (((~trans(s349, s215)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s215)) <=> (until2p7(s215) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s215)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29920,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s215)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s215) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s215))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29919])).
% 8.54/6.32 tff(29921,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s215)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s215) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s215)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29920, 29918])).
% 8.54/6.32 tff(29922,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s215)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s215))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29923,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s215) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s215))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29922, 29921])).
% 8.54/6.32 tff(29924,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29923, 22690, 29917, 23114, 29916, 24569])).
% 8.54/6.32 tff(29925,plain,((~trans(s349, s215)) | until2p7(s215) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29926,plain,
% 8.54/6.32 (~trans(s349, s215)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29925, 28349, 24569])).
% 8.54/6.32 tff(29927,assumption,(~until2p7(s161)), introduced(assumption)).
% 8.54/6.32 tff(29928,assumption,(trans(s349, s161)), introduced(assumption)).
% 8.54/6.32 tff(29929,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s161) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s161)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s161)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29930,plain,
% 8.54/6.32 (((~trans(s349, s161)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s161)) <=> (until2p7(s161) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s161)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29931,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s161)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s161) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s161))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29930])).
% 8.54/6.32 tff(29932,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s161)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s161)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29931, 29929])).
% 8.54/6.32 tff(29933,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s161)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s161))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29934,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s161))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29933, 29932])).
% 8.54/6.32 tff(29935,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29934, 22690, 29928, 23114, 29927, 24569])).
% 8.54/6.32 tff(29936,plain,((~trans(s349, s161)) | until2p7(s161) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29937,plain,
% 8.54/6.32 (~trans(s349, s161)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29936, 28532, 24569])).
% 8.54/6.32 tff(29938,assumption,(~until2p7(s9)), introduced(assumption)).
% 8.54/6.32 tff(29939,assumption,(trans(s349, s9)), introduced(assumption)).
% 8.54/6.32 tff(29940,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s9)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29941,plain,
% 8.54/6.32 (((~trans(s349, s9)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s9)) <=> (until2p7(s9) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s9)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29942,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s9)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s9))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29941])).
% 8.54/6.32 tff(29943,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s9)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s9)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29942, 29940])).
% 8.54/6.32 tff(29944,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s9)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s9))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29945,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s9))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29944, 29943])).
% 8.54/6.32 tff(29946,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29945, 22690, 29939, 23114, 29938, 24569])).
% 8.54/6.32 tff(29947,plain,((~trans(s349, s9)) | until2p7(s9) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29948,plain,
% 8.54/6.32 (~trans(s349, s9)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29947, 29200, 24569])).
% 8.54/6.32 tff(29949,assumption,(~until2p7(s154)), introduced(assumption)).
% 8.54/6.32 tff(29950,assumption,(trans(s349, s154)), introduced(assumption)).
% 8.54/6.32 tff(29951,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s154) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s154)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s154)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29952,plain,
% 8.54/6.32 (((~trans(s349, s154)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s154)) <=> (until2p7(s154) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s154)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29953,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s154)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s154) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s154))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29952])).
% 8.54/6.32 tff(29954,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s154)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s154)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29953, 29951])).
% 8.54/6.32 tff(29955,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s154)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s154))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29956,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s154))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29955, 29954])).
% 8.54/6.32 tff(29957,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29956, 22690, 29950, 23114, 29949, 24569])).
% 8.54/6.32 tff(29958,plain,((~trans(s349, s154)) | until2p7(s154) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29959,plain,
% 8.54/6.32 (~trans(s349, s154)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29958, 28557, 24569])).
% 8.54/6.32 tff(29960,assumption,(~until2p7(s179)), introduced(assumption)).
% 8.54/6.32 tff(29961,assumption,(trans(s349, s179)), introduced(assumption)).
% 8.54/6.32 tff(29962,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s179) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s179)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s179)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29963,plain,
% 8.54/6.32 (((~trans(s349, s179)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s179)) <=> (until2p7(s179) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s179)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29964,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s179)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s179) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s179))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29963])).
% 8.54/6.32 tff(29965,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s179)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s179)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29964, 29962])).
% 8.54/6.32 tff(29966,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s179)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s179))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29967,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s179))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29966, 29965])).
% 8.54/6.32 tff(29968,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29967, 22690, 29961, 23114, 29960, 24569])).
% 8.54/6.32 tff(29969,plain,((~trans(s349, s179)) | until2p7(s179) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29970,plain,
% 8.54/6.32 (~trans(s349, s179)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29969, 28475, 24569])).
% 8.54/6.32 tff(29971,assumption,(~until2p7(s210)), introduced(assumption)).
% 8.54/6.32 tff(29972,assumption,(trans(s349, s210)), introduced(assumption)).
% 8.54/6.32 tff(29973,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s210) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s210)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s210) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s210)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29974,plain,
% 8.54/6.32 (((~trans(s349, s210)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s210)) <=> (until2p7(s210) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s210)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29975,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s210)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s210) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s210))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29974])).
% 8.54/6.32 tff(29976,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s210)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s210) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s210)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29975, 29973])).
% 8.54/6.32 tff(29977,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s210)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s210))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29978,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s210) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s210))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29977, 29976])).
% 8.54/6.32 tff(29979,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29978, 22690, 29972, 23114, 29971, 24569])).
% 8.54/6.32 tff(29980,plain,((~trans(s349, s210)) | until2p7(s210) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29981,plain,
% 8.54/6.32 (~trans(s349, s210)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29980, 28368, 24569])).
% 8.54/6.32 tff(29982,assumption,(~until2p7(s125)), introduced(assumption)).
% 8.54/6.32 tff(29983,assumption,(trans(s349, s125)), introduced(assumption)).
% 8.54/6.32 tff(29984,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s125) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s125)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s125)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29985,plain,
% 8.54/6.32 (((~trans(s349, s125)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s125)) <=> (until2p7(s125) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s125)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29986,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s125)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s125) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s125))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29985])).
% 8.54/6.32 tff(29987,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s125)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s125)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29986, 29984])).
% 8.54/6.32 tff(29988,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s125)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s125))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(29989,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s125))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29988, 29987])).
% 8.54/6.32 tff(29990,plain,
% 8.54/6.32 ($false),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29989, 22690, 29983, 23114, 29982, 24569])).
% 8.54/6.32 tff(29991,plain,((~trans(s349, s125)) | until2p7(s125) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.32 tff(29992,plain,
% 8.54/6.32 (~trans(s349, s125)),
% 8.54/6.32 inference(unit_resolution,[status(thm)],[29991, 28655, 24569])).
% 8.54/6.32 tff(29993,assumption,(~until2p7(s21)), introduced(assumption)).
% 8.54/6.32 tff(29994,assumption,(trans(s349, s21)), introduced(assumption)).
% 8.54/6.32 tff(29995,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s21)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29996,plain,
% 8.54/6.32 (((~trans(s349, s21)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s21)) <=> (until2p7(s21) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s21)))),
% 8.54/6.32 inference(rewrite,[status(thm)],[])).
% 8.54/6.32 tff(29997,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s21)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s21))))),
% 8.54/6.32 inference(monotonicity,[status(thm)],[29996])).
% 8.54/6.32 tff(29998,plain,
% 8.54/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s21)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s21)))),
% 8.54/6.32 inference(transitivity,[status(thm)],[29997, 29995])).
% 8.54/6.32 tff(29999,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s21)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s21))),
% 8.54/6.32 inference(quant_inst,[status(thm)],[])).
% 8.54/6.32 tff(30000,plain,
% 8.54/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s21))),
% 8.54/6.32 inference(modus_ponens,[status(thm)],[29999, 29998])).
% 8.54/6.33 tff(30001,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30000, 22690, 29994, 23114, 29993, 24569])).
% 8.54/6.33 tff(30002,plain,((~trans(s349, s21)) | until2p7(s21) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30003,plain,
% 8.54/6.33 (~trans(s349, s21)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30002, 29061, 24569])).
% 8.54/6.33 tff(30004,assumption,(~until2p7(s168)), introduced(assumption)).
% 8.54/6.33 tff(30005,assumption,(trans(s349, s168)), introduced(assumption)).
% 8.54/6.33 tff(30006,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s168) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s168)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s168)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30007,plain,
% 8.54/6.33 (((~trans(s349, s168)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s168)) <=> (until2p7(s168) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s168)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30008,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s168)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s168) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s168))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30007])).
% 8.54/6.33 tff(30009,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s168)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s168)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30008, 30006])).
% 8.54/6.33 tff(30010,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s168)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s168))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30011,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s168))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30010, 30009])).
% 8.54/6.33 tff(30012,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30011, 22690, 30005, 23114, 30004, 24569])).
% 8.54/6.33 tff(30013,plain,((~trans(s349, s168)) | until2p7(s168) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30014,plain,
% 8.54/6.33 (~trans(s349, s168)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30013, 28510, 24569])).
% 8.54/6.33 tff(30015,assumption,(~until2p7(s35)), introduced(assumption)).
% 8.54/6.33 tff(30016,assumption,(trans(s349, s35)), introduced(assumption)).
% 8.54/6.33 tff(30017,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s35)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30018,plain,
% 8.54/6.33 (((~trans(s349, s35)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s35)) <=> (until2p7(s35) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s35)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30019,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s35)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s35))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30018])).
% 8.54/6.33 tff(30020,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s35)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s35)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30019, 30017])).
% 8.54/6.33 tff(30021,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s35)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s35))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30022,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s35))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30021, 30020])).
% 8.54/6.33 tff(30023,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30022, 22690, 30016, 23114, 30015, 24569])).
% 8.54/6.33 tff(30024,plain,((~trans(s349, s35)) | until2p7(s35) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30025,plain,
% 8.54/6.33 (~trans(s349, s35)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30024, 28996, 24569])).
% 8.54/6.33 tff(30026,assumption,(~until2p7(s16)), introduced(assumption)).
% 8.54/6.33 tff(30027,assumption,(trans(s349, s16)), introduced(assumption)).
% 8.54/6.33 tff(30028,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s16)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30029,plain,
% 8.54/6.33 (((~trans(s349, s16)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s16)) <=> (until2p7(s16) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s16)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30030,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s16)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s16))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30029])).
% 8.54/6.33 tff(30031,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s16)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s16)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30030, 30028])).
% 8.54/6.33 tff(30032,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s16)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s16))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30033,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s16))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30032, 30031])).
% 8.54/6.33 tff(30034,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30033, 22690, 30027, 23114, 30026, 24569])).
% 8.54/6.33 tff(30035,plain,((~trans(s349, s16)) | until2p7(s16) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30036,plain,
% 8.54/6.33 (~trans(s349, s16)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30035, 29077, 24569])).
% 8.54/6.33 tff(30037,assumption,(~until2p7(s194)), introduced(assumption)).
% 8.54/6.33 tff(30038,assumption,(trans(s349, s194)), introduced(assumption)).
% 8.54/6.33 tff(30039,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s194) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s194)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s194)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30040,plain,
% 8.54/6.33 (((~trans(s349, s194)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s194)) <=> (until2p7(s194) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s194)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30041,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s194)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s194) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s194))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30040])).
% 8.54/6.33 tff(30042,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s194)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s194)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30041, 30039])).
% 8.54/6.33 tff(30043,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s194)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s194))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30044,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s194))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30043, 30042])).
% 8.54/6.33 tff(30045,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30044, 22690, 30038, 23114, 30037, 24569])).
% 8.54/6.33 tff(30046,plain,((~trans(s349, s194)) | until2p7(s194) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30047,plain,
% 8.54/6.33 (~trans(s349, s194)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30046, 28422, 24569])).
% 8.54/6.33 tff(30048,assumption,(~until2p7(s308)), introduced(assumption)).
% 8.54/6.33 tff(30049,assumption,(trans(s349, s308)), introduced(assumption)).
% 8.54/6.33 tff(30050,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s308) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s308)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s308) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s308)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30051,plain,
% 8.54/6.33 (((~trans(s349, s308)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s308)) <=> (until2p7(s308) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s308)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30052,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s308)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s308) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s308))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30051])).
% 8.54/6.33 tff(30053,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s308)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s308) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s308)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30052, 30050])).
% 8.54/6.33 tff(30054,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s308)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s308))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30055,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s308) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s308))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30054, 30053])).
% 8.54/6.33 tff(30056,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30055, 22690, 30049, 23114, 30048, 24569])).
% 8.54/6.33 tff(30057,plain,((~trans(s349, s308)) | until2p7(s308) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30058,plain,
% 8.54/6.33 (~trans(s349, s308)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30057, 28004, 24569])).
% 8.54/6.33 tff(30059,assumption,(~until2p7(s284)), introduced(assumption)).
% 8.54/6.33 tff(30060,assumption,(trans(s349, s284)), introduced(assumption)).
% 8.54/6.33 tff(30061,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s284) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s284)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s284) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s284)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30062,plain,
% 8.54/6.33 (((~trans(s349, s284)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s284)) <=> (until2p7(s284) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s284)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30063,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s284)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s284) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s284))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30062])).
% 8.54/6.33 tff(30064,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s284)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s284) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s284)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30063, 30061])).
% 8.54/6.33 tff(30065,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s284)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s284))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30066,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s284) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s284))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30065, 30064])).
% 8.54/6.33 tff(30067,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30066, 22690, 30060, 23114, 30059, 24569])).
% 8.54/6.33 tff(30068,plain,((~trans(s349, s284)) | until2p7(s284) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30069,plain,
% 8.54/6.33 (~trans(s349, s284)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30068, 28100, 24569])).
% 8.54/6.33 tff(30070,assumption,(~until2p7(s124)), introduced(assumption)).
% 8.54/6.33 tff(30071,assumption,(trans(s349, s124)), introduced(assumption)).
% 8.54/6.33 tff(30072,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s124) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s124)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s124)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30073,plain,
% 8.54/6.33 (((~trans(s349, s124)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s124)) <=> (until2p7(s124) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s124)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30074,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s124)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s124) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s124))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30073])).
% 8.54/6.33 tff(30075,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s124)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s124)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30074, 30072])).
% 8.54/6.33 tff(30076,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s124)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s124))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30077,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s124))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 8.54/6.33 tff(30078,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30077, 22690, 30071, 23114, 30070, 24569])).
% 8.54/6.33 tff(30079,plain,((~trans(s349, s124)) | until2p7(s124) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30080,plain,
% 8.54/6.33 (~trans(s349, s124)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30079, 28658, 24569])).
% 8.54/6.33 tff(30081,assumption,(~until2p7(s140)), introduced(assumption)).
% 8.54/6.33 tff(30082,assumption,(trans(s349, s140)), introduced(assumption)).
% 8.54/6.33 tff(30083,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s140) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s140)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s140)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30084,plain,
% 8.54/6.33 (((~trans(s349, s140)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s140)) <=> (until2p7(s140) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s140)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30085,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s140)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s140) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s140))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30084])).
% 8.54/6.33 tff(30086,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s140)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s140)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30085, 30083])).
% 8.54/6.33 tff(30087,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s140)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s140))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30088,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s140))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30087, 30086])).
% 8.54/6.33 tff(30089,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30088, 22690, 30082, 23114, 30081, 24569])).
% 8.54/6.33 tff(30090,plain,((~trans(s349, s140)) | until2p7(s140) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30091,plain,
% 8.54/6.33 (~trans(s349, s140)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30090, 28604, 24569])).
% 8.54/6.33 tff(30092,assumption,(~until2p7(s157)), introduced(assumption)).
% 8.54/6.33 tff(30093,assumption,(trans(s349, s157)), introduced(assumption)).
% 8.54/6.33 tff(30094,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s157) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s157)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s157)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30095,plain,
% 8.54/6.33 (((~trans(s349, s157)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s157)) <=> (until2p7(s157) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s157)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30096,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s157)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s157) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s157))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30095])).
% 8.54/6.33 tff(30097,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s157)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s157)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30096, 30094])).
% 8.54/6.33 tff(30098,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s157)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s157))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30099,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s157))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30098, 30097])).
% 8.54/6.33 tff(30100,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30099, 22690, 30093, 23114, 30092, 24569])).
% 8.54/6.33 tff(30101,plain,((~trans(s349, s157)) | until2p7(s157) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30102,plain,
% 8.54/6.33 (~trans(s349, s157)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30101, 28547, 24569])).
% 8.54/6.33 tff(30103,assumption,(~until2p7(s166)), introduced(assumption)).
% 8.54/6.33 tff(30104,assumption,(trans(s349, s166)), introduced(assumption)).
% 8.54/6.33 tff(30105,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s166) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s166)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s166)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30106,plain,
% 8.54/6.33 (((~trans(s349, s166)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s166)) <=> (until2p7(s166) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s166)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30107,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s166)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s166) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s166))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30106])).
% 8.54/6.33 tff(30108,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s166)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s166)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30107, 30105])).
% 8.54/6.33 tff(30109,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s166)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s166))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30110,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s166))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30109, 30108])).
% 8.54/6.33 tff(30111,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30110, 22690, 30104, 23114, 30103, 24569])).
% 8.54/6.33 tff(30112,plain,((~trans(s349, s166)) | until2p7(s166) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30113,plain,
% 8.54/6.33 (~trans(s349, s166)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30112, 28517, 24569])).
% 8.54/6.33 tff(30114,assumption,(~until2p7(s198)), introduced(assumption)).
% 8.54/6.33 tff(30115,assumption,(trans(s349, s198)), introduced(assumption)).
% 8.54/6.33 tff(30116,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s198) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s198)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s198)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30117,plain,
% 8.54/6.33 (((~trans(s349, s198)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s198)) <=> (until2p7(s198) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s198)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30118,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s198)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s198) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s198))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30117])).
% 8.54/6.33 tff(30119,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s198)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s198)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30118, 30116])).
% 8.54/6.33 tff(30120,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s198)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s198))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30121,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s198))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30120, 30119])).
% 8.54/6.33 tff(30122,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30121, 22690, 30115, 23114, 30114, 24569])).
% 8.54/6.33 tff(30123,plain,((~trans(s349, s198)) | until2p7(s198) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30124,plain,
% 8.54/6.33 (~trans(s349, s198)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30123, 28407, 24569])).
% 8.54/6.33 tff(30125,assumption,(~until2p7(s29)), introduced(assumption)).
% 8.54/6.33 tff(30126,assumption,(trans(s349, s29)), introduced(assumption)).
% 8.54/6.33 tff(30127,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s29)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30128,plain,
% 8.54/6.33 (((~trans(s349, s29)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s29)) <=> (until2p7(s29) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s29)))),
% 8.54/6.33 inference(rewrite,[status(thm)],[])).
% 8.54/6.33 tff(30129,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s29)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s29))))),
% 8.54/6.33 inference(monotonicity,[status(thm)],[30128])).
% 8.54/6.33 tff(30130,plain,
% 8.54/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s29)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s29)))),
% 8.54/6.33 inference(transitivity,[status(thm)],[30129, 30127])).
% 8.54/6.33 tff(30131,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s29)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s29))),
% 8.54/6.33 inference(quant_inst,[status(thm)],[])).
% 8.54/6.33 tff(30132,plain,
% 8.54/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s29))),
% 8.54/6.33 inference(modus_ponens,[status(thm)],[30131, 30130])).
% 8.54/6.33 tff(30133,plain,
% 8.54/6.33 ($false),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30132, 22690, 30126, 23114, 30125, 24569])).
% 8.54/6.33 tff(30134,plain,((~trans(s349, s29)) | until2p7(s29) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.33 tff(30135,plain,
% 8.54/6.33 (~trans(s349, s29)),
% 8.54/6.33 inference(unit_resolution,[status(thm)],[30134, 29038, 24569])).
% 8.54/6.33 tff(30136,assumption,(~until2p7(s212)), introduced(assumption)).
% 8.54/6.34 tff(30137,assumption,(trans(s349, s212)), introduced(assumption)).
% 8.54/6.34 tff(30138,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s212) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s212)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s212) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s212)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30139,plain,
% 8.54/6.34 (((~trans(s349, s212)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s212)) <=> (until2p7(s212) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s212)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30140,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s212)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s212) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s212))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30139])).
% 8.54/6.34 tff(30141,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s212)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s212) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s212)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30140, 30138])).
% 8.54/6.34 tff(30142,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s212)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s212))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30143,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s212) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s212))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30142, 30141])).
% 8.54/6.34 tff(30144,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30143, 22690, 30137, 23114, 30136, 24569])).
% 8.54/6.34 tff(30145,plain,((~trans(s349, s212)) | until2p7(s212) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30146,plain,
% 8.54/6.34 (~trans(s349, s212)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30145, 28361, 24569])).
% 8.54/6.34 tff(30147,assumption,(~until2p7(s182)), introduced(assumption)).
% 8.54/6.34 tff(30148,assumption,(trans(s349, s182)), introduced(assumption)).
% 8.54/6.34 tff(30149,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s182) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s182)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s182)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30150,plain,
% 8.54/6.34 (((~trans(s349, s182)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s182)) <=> (until2p7(s182) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s182)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30151,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s182)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s182) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s182))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30150])).
% 8.54/6.34 tff(30152,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s182)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s182)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30151, 30149])).
% 8.54/6.34 tff(30153,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s182)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s182))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30154,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s182))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30153, 30152])).
% 8.54/6.34 tff(30155,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30154, 22690, 30148, 23114, 30147, 24569])).
% 8.54/6.34 tff(30156,plain,((~trans(s349, s182)) | until2p7(s182) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30157,plain,
% 8.54/6.34 (~trans(s349, s182)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30156, 28465, 24569])).
% 8.54/6.34 tff(30158,assumption,(~until2p7(s262)), introduced(assumption)).
% 8.54/6.34 tff(30159,assumption,(trans(s349, s262)), introduced(assumption)).
% 8.54/6.34 tff(30160,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s262) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s262)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s262) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s262)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30161,plain,
% 8.54/6.34 (((~trans(s349, s262)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s262)) <=> (until2p7(s262) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s262)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30162,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s262)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s262) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s262))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30161])).
% 8.54/6.34 tff(30163,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s262)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s262) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s262)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30162, 30160])).
% 8.54/6.34 tff(30164,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s262)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s262))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30165,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s262) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s262))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30164, 30163])).
% 8.54/6.34 tff(30166,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30165, 22690, 30159, 23114, 30158, 24569])).
% 8.54/6.34 tff(30167,plain,((~trans(s349, s262)) | until2p7(s262) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30168,plain,
% 8.54/6.34 (~trans(s349, s262)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30167, 28186, 24569])).
% 8.54/6.34 tff(30169,assumption,(~until2p7(s64)), introduced(assumption)).
% 8.54/6.34 tff(30170,assumption,(trans(s349, s64)), introduced(assumption)).
% 8.54/6.34 tff(30171,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s64) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s64)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30172,plain,
% 8.54/6.34 (((~trans(s349, s64)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s64)) <=> (until2p7(s64) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s64)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30173,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s64)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s64) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s64))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30172])).
% 8.54/6.34 tff(30174,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s64)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s64)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30173, 30171])).
% 8.54/6.34 tff(30175,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s64)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s64))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30176,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s64))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30175, 30174])).
% 8.54/6.34 tff(30177,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30176, 22690, 30170, 23114, 30169, 24569])).
% 8.54/6.34 tff(30178,plain,((~trans(s349, s64)) | until2p7(s64) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30179,plain,
% 8.54/6.34 (~trans(s349, s64)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30178, 28882, 24569])).
% 8.54/6.34 tff(30180,assumption,(~until2p7(s113)), introduced(assumption)).
% 8.54/6.34 tff(30181,assumption,(trans(s349, s113)), introduced(assumption)).
% 8.54/6.34 tff(30182,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s113) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s113)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s113)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30183,plain,
% 8.54/6.34 (((~trans(s349, s113)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s113)) <=> (until2p7(s113) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s113)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30184,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s113)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s113) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s113))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30183])).
% 8.54/6.34 tff(30185,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s113)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s113)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30184, 30182])).
% 8.54/6.34 tff(30186,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s113)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s113))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30187,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s113))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30186, 30185])).
% 8.54/6.34 tff(30188,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30187, 22690, 30181, 23114, 30180, 24569])).
% 8.54/6.34 tff(30189,plain,((~trans(s349, s113)) | until2p7(s113) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30190,plain,
% 8.54/6.34 (~trans(s349, s113)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30189, 28696, 24569])).
% 8.54/6.34 tff(30191,assumption,(~until2p7(s346)), introduced(assumption)).
% 8.54/6.34 tff(30192,assumption,(trans(s349, s346)), introduced(assumption)).
% 8.54/6.34 tff(30193,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s346) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s346)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s346) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s346)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30194,plain,
% 8.54/6.34 (((~trans(s349, s346)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s346)) <=> (until2p7(s346) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s346)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30195,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s346)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s346) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s346))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30194])).
% 8.54/6.34 tff(30196,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s346)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s346) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s346)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30195, 30193])).
% 8.54/6.34 tff(30197,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s346)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s346))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30198,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s346) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s346))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30197, 30196])).
% 8.54/6.34 tff(30199,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30198, 22690, 30192, 23114, 30191, 24569])).
% 8.54/6.34 tff(30200,plain,((~trans(s349, s346)) | until2p7(s346) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30201,plain,
% 8.54/6.34 (~trans(s349, s346)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30200, 27852, 24569])).
% 8.54/6.34 tff(30202,assumption,(~until2p7(s1)), introduced(assumption)).
% 8.54/6.34 tff(30203,assumption,(trans(s349, s1)), introduced(assumption)).
% 8.54/6.34 tff(30204,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s1)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30205,plain,
% 8.54/6.34 (((~trans(s349, s1)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s1)) <=> (until2p7(s1) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s1)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30206,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s1)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s1))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30205])).
% 8.54/6.34 tff(30207,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s1)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s1)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30206, 30204])).
% 8.54/6.34 tff(30208,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s1)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s1))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30209,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s1))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30208, 30207])).
% 8.54/6.34 tff(30210,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30209, 22690, 30203, 23114, 30202, 24569])).
% 8.54/6.34 tff(30211,plain,((~trans(s349, s1)) | until2p7(s1) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30212,plain,
% 8.54/6.34 (~trans(s349, s1)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30211, 29278, 24569])).
% 8.54/6.34 tff(30213,assumption,(~until2p7(s131)), introduced(assumption)).
% 8.54/6.34 tff(30214,assumption,(trans(s349, s131)), introduced(assumption)).
% 8.54/6.34 tff(30215,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s131) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s131)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s131)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30216,plain,
% 8.54/6.34 (((~trans(s349, s131)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s131)) <=> (until2p7(s131) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s131)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30217,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s131)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s131) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s131))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30216])).
% 8.54/6.34 tff(30218,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s131)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s131)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30217, 30215])).
% 8.54/6.34 tff(30219,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s131)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s131))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30220,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s131))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30219, 30218])).
% 8.54/6.34 tff(30221,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30220, 22690, 30214, 23114, 30213, 24569])).
% 8.54/6.34 tff(30222,plain,((~trans(s349, s131)) | until2p7(s131) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30223,plain,
% 8.54/6.34 (~trans(s349, s131)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30222, 28635, 24569])).
% 8.54/6.34 tff(30224,assumption,(~until2p7(s189)), introduced(assumption)).
% 8.54/6.34 tff(30225,assumption,(trans(s349, s189)), introduced(assumption)).
% 8.54/6.34 tff(30226,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s189) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s189)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s189)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30227,plain,
% 8.54/6.34 (((~trans(s349, s189)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s189)) <=> (until2p7(s189) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s189)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30228,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s189)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s189) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s189))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30227])).
% 8.54/6.34 tff(30229,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s189)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s189)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30228, 30226])).
% 8.54/6.34 tff(30230,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s189)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s189))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30231,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s189))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30230, 30229])).
% 8.54/6.34 tff(30232,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30231, 22690, 30225, 23114, 30224, 24569])).
% 8.54/6.34 tff(30233,plain,((~trans(s349, s189)) | until2p7(s189) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30234,plain,
% 8.54/6.34 (~trans(s349, s189)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30233, 28439, 24569])).
% 8.54/6.34 tff(30235,assumption,(~until2p7(s155)), introduced(assumption)).
% 8.54/6.34 tff(30236,assumption,(trans(s349, s155)), introduced(assumption)).
% 8.54/6.34 tff(30237,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s155) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s155)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s155)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30238,plain,
% 8.54/6.34 (((~trans(s349, s155)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s155)) <=> (until2p7(s155) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s155)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30239,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s155)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s155) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s155))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30238])).
% 8.54/6.34 tff(30240,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s155)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s155)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30239, 30237])).
% 8.54/6.34 tff(30241,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s155)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s155))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30242,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s155))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30241, 30240])).
% 8.54/6.34 tff(30243,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30242, 22690, 30236, 23114, 30235, 24569])).
% 8.54/6.34 tff(30244,plain,((~trans(s349, s155)) | until2p7(s155) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30245,plain,
% 8.54/6.34 (~trans(s349, s155)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30244, 28553, 24569])).
% 8.54/6.34 tff(30246,assumption,(~until2p7(s339)), introduced(assumption)).
% 8.54/6.34 tff(30247,assumption,(trans(s349, s339)), introduced(assumption)).
% 8.54/6.34 tff(30248,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s339) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s339)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s339) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s339)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30249,plain,
% 8.54/6.34 (((~trans(s349, s339)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s339)) <=> (until2p7(s339) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s339)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30250,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s339)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s339))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s339) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s339))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30249])).
% 8.54/6.34 tff(30251,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s339)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s339))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s339) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s339)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30250, 30248])).
% 8.54/6.34 tff(30252,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s339)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s339))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30253,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s339) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s339))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30252, 30251])).
% 8.54/6.34 tff(30254,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30253, 22690, 30247, 23114, 30246, 24569])).
% 8.54/6.34 tff(30255,plain,((~trans(s349, s339)) | until2p7(s339) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30256,plain,
% 8.54/6.34 (~trans(s349, s339)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30255, 27880, 24569])).
% 8.54/6.34 tff(30257,assumption,(~until2p7(s52)), introduced(assumption)).
% 8.54/6.34 tff(30258,assumption,(trans(s349, s52)), introduced(assumption)).
% 8.54/6.34 tff(30259,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s52) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s52)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30260,plain,
% 8.54/6.34 (((~trans(s349, s52)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s52)) <=> (until2p7(s52) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s52)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30261,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s52)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s52) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s52))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30260])).
% 8.54/6.34 tff(30262,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s52)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s52)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30261, 30259])).
% 8.54/6.34 tff(30263,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s52)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s52))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30264,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s52))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30263, 30262])).
% 8.54/6.34 tff(30265,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30264, 22690, 30258, 23114, 30257, 24569])).
% 8.54/6.34 tff(30266,plain,((~trans(s349, s52)) | until2p7(s52) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30267,plain,
% 8.54/6.34 (~trans(s349, s52)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30266, 28930, 24569])).
% 8.54/6.34 tff(30268,assumption,(~until2p7(s7)), introduced(assumption)).
% 8.54/6.34 tff(30269,assumption,(trans(s349, s7)), introduced(assumption)).
% 8.54/6.34 tff(30270,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s7)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30271,plain,
% 8.54/6.34 (((~trans(s349, s7)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s7)) <=> (until2p7(s7) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s7)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30272,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s7)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s7))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30271])).
% 8.54/6.34 tff(30273,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s7)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s7)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30272, 30270])).
% 8.54/6.34 tff(30274,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s7)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s7))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30275,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s7))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30274, 30273])).
% 8.54/6.34 tff(30276,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30275, 22690, 30269, 23114, 30268, 24569])).
% 8.54/6.34 tff(30277,plain,((~trans(s349, s7)) | until2p7(s7) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30278,plain,
% 8.54/6.34 (~trans(s349, s7)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30277, 29214, 24569])).
% 8.54/6.34 tff(30279,assumption,(~until2p7(s94)), introduced(assumption)).
% 8.54/6.34 tff(30280,assumption,(trans(s349, s94)), introduced(assumption)).
% 8.54/6.34 tff(30281,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s94) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s94)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30282,plain,
% 8.54/6.34 (((~trans(s349, s94)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s94)) <=> (until2p7(s94) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s94)))),
% 8.54/6.34 inference(rewrite,[status(thm)],[])).
% 8.54/6.34 tff(30283,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s94)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s94) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s94))))),
% 8.54/6.34 inference(monotonicity,[status(thm)],[30282])).
% 8.54/6.34 tff(30284,plain,
% 8.54/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s94)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s94)))),
% 8.54/6.34 inference(transitivity,[status(thm)],[30283, 30281])).
% 8.54/6.34 tff(30285,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s94)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s94))),
% 8.54/6.34 inference(quant_inst,[status(thm)],[])).
% 8.54/6.34 tff(30286,plain,
% 8.54/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s94))),
% 8.54/6.34 inference(modus_ponens,[status(thm)],[30285, 30284])).
% 8.54/6.34 tff(30287,plain,
% 8.54/6.34 ($false),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30286, 22690, 30280, 23114, 30279, 24569])).
% 8.54/6.34 tff(30288,plain,((~trans(s349, s94)) | until2p7(s94) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.34 tff(30289,plain,
% 8.54/6.34 (~trans(s349, s94)),
% 8.54/6.34 inference(unit_resolution,[status(thm)],[30288, 28763, 24569])).
% 8.54/6.35 tff(30290,assumption,(~until2p7(s95)), introduced(assumption)).
% 8.54/6.35 tff(30291,assumption,(trans(s349, s95)), introduced(assumption)).
% 8.54/6.35 tff(30292,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s95) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s95)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30293,plain,
% 8.54/6.35 (((~trans(s349, s95)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s95)) <=> (until2p7(s95) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s95)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30294,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s95)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s95) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s95))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30293])).
% 8.54/6.35 tff(30295,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s95)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s95)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30294, 30292])).
% 8.54/6.35 tff(30296,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s95)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s95))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30297,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s95))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30296, 30295])).
% 8.54/6.35 tff(30298,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30297, 22690, 30291, 23114, 30290, 24569])).
% 8.54/6.35 tff(30299,plain,((~trans(s349, s95)) | until2p7(s95) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30300,plain,
% 8.54/6.35 (~trans(s349, s95)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30299, 28760, 24569])).
% 8.54/6.35 tff(30301,assumption,(~until2p7(s177)), introduced(assumption)).
% 8.54/6.35 tff(30302,assumption,(trans(s349, s177)), introduced(assumption)).
% 8.54/6.35 tff(30303,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s177) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s177)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s177)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30304,plain,
% 8.54/6.35 (((~trans(s349, s177)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s177)) <=> (until2p7(s177) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s177)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30305,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s177)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s177) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s177))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30304])).
% 8.54/6.35 tff(30306,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s177)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s177)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30305, 30303])).
% 8.54/6.35 tff(30307,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s177)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s177))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30308,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s177))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30307, 30306])).
% 8.54/6.35 tff(30309,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30308, 22690, 30302, 23114, 30301, 24569])).
% 8.54/6.35 tff(30310,plain,((~trans(s349, s177)) | until2p7(s177) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30311,plain,
% 8.54/6.35 (~trans(s349, s177)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30310, 28482, 24569])).
% 8.54/6.35 tff(30312,assumption,(~until2p7(s57)), introduced(assumption)).
% 8.54/6.35 tff(30313,assumption,(trans(s349, s57)), introduced(assumption)).
% 8.54/6.35 tff(30314,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s57) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s57)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30315,plain,
% 8.54/6.35 (((~trans(s349, s57)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s57)) <=> (until2p7(s57) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s57)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30316,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s57)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s57) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s57))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30315])).
% 8.54/6.35 tff(30317,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s57)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s57)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30316, 30314])).
% 8.54/6.35 tff(30318,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s57)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s57))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30319,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s57))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30318, 30317])).
% 8.54/6.35 tff(30320,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30319, 22690, 30313, 23114, 30312, 24569])).
% 8.54/6.35 tff(30321,plain,((~trans(s349, s57)) | until2p7(s57) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30322,plain,
% 8.54/6.35 (~trans(s349, s57)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30321, 28910, 24569])).
% 8.54/6.35 tff(30323,assumption,(~until2p7(s230)), introduced(assumption)).
% 8.54/6.35 tff(30324,assumption,(trans(s349, s230)), introduced(assumption)).
% 8.54/6.35 tff(30325,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s230) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s230)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s230) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s230)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30326,plain,
% 8.54/6.35 (((~trans(s349, s230)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s230)) <=> (until2p7(s230) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s230)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30327,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s230)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s230) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s230))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30326])).
% 8.54/6.35 tff(30328,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s230)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s230) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s230)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30327, 30325])).
% 8.54/6.35 tff(30329,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s230)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s230))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30330,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s230) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s230))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30329, 30328])).
% 8.54/6.35 tff(30331,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30330, 22690, 30324, 23114, 30323, 24569])).
% 8.54/6.35 tff(30332,plain,((~trans(s349, s230)) | until2p7(s230) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30333,plain,
% 8.54/6.35 (~trans(s349, s230)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30332, 28300, 24569])).
% 8.54/6.35 tff(30334,assumption,(~until2p7(s176)), introduced(assumption)).
% 8.54/6.35 tff(30335,assumption,(trans(s349, s176)), introduced(assumption)).
% 8.54/6.35 tff(30336,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s176) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s176)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s176)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30337,plain,
% 8.54/6.35 (((~trans(s349, s176)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s176)) <=> (until2p7(s176) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s176)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30338,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s176)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s176) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s176))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30337])).
% 8.54/6.35 tff(30339,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s176)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s176)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30338, 30336])).
% 8.54/6.35 tff(30340,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s176)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s176))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30341,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s176))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30340, 30339])).
% 8.54/6.35 tff(30342,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30341, 22690, 30335, 23114, 30334, 24569])).
% 8.54/6.35 tff(30343,plain,((~trans(s349, s176)) | until2p7(s176) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30344,plain,
% 8.54/6.35 (~trans(s349, s176)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30343, 28485, 24569])).
% 8.54/6.35 tff(30345,assumption,(~until2p7(s276)), introduced(assumption)).
% 8.54/6.35 tff(30346,assumption,(trans(s349, s276)), introduced(assumption)).
% 8.54/6.35 tff(30347,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s276) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s276)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s276) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s276)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30348,plain,
% 8.54/6.35 (((~trans(s349, s276)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s276)) <=> (until2p7(s276) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s276)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30349,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s276)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s276) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s276))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30348])).
% 8.54/6.35 tff(30350,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s276)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s276) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s276)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30349, 30347])).
% 8.54/6.35 tff(30351,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s276)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s276))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30352,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s276) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s276))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30351, 30350])).
% 8.54/6.35 tff(30353,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30352, 22690, 30346, 23114, 30345, 24569])).
% 8.54/6.35 tff(30354,plain,((~trans(s349, s276)) | until2p7(s276) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30355,plain,
% 8.54/6.35 (~trans(s349, s276)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30354, 28132, 24569])).
% 8.54/6.35 tff(30356,assumption,(~until2p7(s128)), introduced(assumption)).
% 8.54/6.35 tff(30357,assumption,(trans(s349, s128)), introduced(assumption)).
% 8.54/6.35 tff(30358,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s128) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s128)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s128)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30359,plain,
% 8.54/6.35 (((~trans(s349, s128)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s128)) <=> (until2p7(s128) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s128)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30360,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s128)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s128) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s128))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30359])).
% 8.54/6.35 tff(30361,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s128)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s128)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30360, 30358])).
% 8.54/6.35 tff(30362,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s128)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s128))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30363,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s128))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30362, 30361])).
% 8.54/6.35 tff(30364,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30363, 22690, 30357, 23114, 30356, 24569])).
% 8.54/6.35 tff(30365,plain,((~trans(s349, s128)) | until2p7(s128) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30366,plain,
% 8.54/6.35 (~trans(s349, s128)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30365, 28646, 24569])).
% 8.54/6.35 tff(30367,assumption,(~until2p7(s256)), introduced(assumption)).
% 8.54/6.35 tff(30368,assumption,(trans(s349, s256)), introduced(assumption)).
% 8.54/6.35 tff(30369,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s256) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s256)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s256) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s256)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30370,plain,
% 8.54/6.35 (((~trans(s349, s256)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s256)) <=> (until2p7(s256) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s256)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30371,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s256)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s256) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s256))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30370])).
% 8.54/6.35 tff(30372,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s256)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s256) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s256)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30371, 30369])).
% 8.54/6.35 tff(30373,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s256)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s256))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30374,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s256) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s256))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30373, 30372])).
% 8.54/6.35 tff(30375,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30374, 22690, 30368, 23114, 30367, 24569])).
% 8.54/6.35 tff(30376,plain,((~trans(s349, s256)) | until2p7(s256) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30377,plain,
% 8.54/6.35 (~trans(s349, s256)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30376, 28206, 24569])).
% 8.54/6.35 tff(30378,assumption,(~until2p7(s348)), introduced(assumption)).
% 8.54/6.35 tff(30379,assumption,(trans(s349, s348)), introduced(assumption)).
% 8.54/6.35 tff(30380,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s348) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s348)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s348) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s348)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30381,plain,
% 8.54/6.35 (((~trans(s349, s348)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s348)) <=> (until2p7(s348) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s348)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30382,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s348)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s348) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s348))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30381])).
% 8.54/6.35 tff(30383,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s348)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s348) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s348)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30382, 30380])).
% 8.54/6.35 tff(30384,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s348)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s348))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30385,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s348) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s348))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30384, 30383])).
% 8.54/6.35 tff(30386,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30385, 22690, 30379, 23114, 30378, 24569])).
% 8.54/6.35 tff(30387,plain,((~trans(s349, s348)) | until2p7(s348) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30388,plain,
% 8.54/6.35 (~trans(s349, s348)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30387, 27844, 24569])).
% 8.54/6.35 tff(30389,assumption,(~until2p7(s30)), introduced(assumption)).
% 8.54/6.35 tff(30390,assumption,(trans(s349, s30)), introduced(assumption)).
% 8.54/6.35 tff(30391,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s30)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30392,plain,
% 8.54/6.35 (((~trans(s349, s30)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s30)) <=> (until2p7(s30) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s30)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30393,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s30)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s30))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30392])).
% 8.54/6.35 tff(30394,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s30)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s30)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30393, 30391])).
% 8.54/6.35 tff(30395,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s30)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s30))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30396,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s30))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30395, 30394])).
% 8.54/6.35 tff(30397,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30396, 22690, 30390, 23114, 30389, 24569])).
% 8.54/6.35 tff(30398,plain,((~trans(s349, s30)) | until2p7(s30) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30399,plain,
% 8.54/6.35 (~trans(s349, s30)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30398, 29035, 24569])).
% 8.54/6.35 tff(30400,assumption,(~until2p7(s224)), introduced(assumption)).
% 8.54/6.35 tff(30401,assumption,(trans(s349, s224)), introduced(assumption)).
% 8.54/6.35 tff(30402,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s224) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s224)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s224) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s224)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30403,plain,
% 8.54/6.35 (((~trans(s349, s224)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s224)) <=> (until2p7(s224) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s224)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30404,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s224)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s224) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s224))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30403])).
% 8.54/6.35 tff(30405,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s224)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s224) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s224)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30404, 30402])).
% 8.54/6.35 tff(30406,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s224)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s224))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30407,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s224) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s224))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30406, 30405])).
% 8.54/6.35 tff(30408,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30407, 22690, 30401, 23114, 30400, 24569])).
% 8.54/6.35 tff(30409,plain,((~trans(s349, s224)) | until2p7(s224) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30410,plain,
% 8.54/6.35 (~trans(s349, s224)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30409, 28320, 24569])).
% 8.54/6.35 tff(30411,assumption,(~until2p7(s199)), introduced(assumption)).
% 8.54/6.35 tff(30412,assumption,(trans(s349, s199)), introduced(assumption)).
% 8.54/6.35 tff(30413,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s199) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s199)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s199)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30414,plain,
% 8.54/6.35 (((~trans(s349, s199)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s199)) <=> (until2p7(s199) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s199)))),
% 8.54/6.35 inference(rewrite,[status(thm)],[])).
% 8.54/6.35 tff(30415,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s199)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s199) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s199))))),
% 8.54/6.35 inference(monotonicity,[status(thm)],[30414])).
% 8.54/6.35 tff(30416,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s199)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s199)))),
% 8.54/6.35 inference(transitivity,[status(thm)],[30415, 30413])).
% 8.54/6.35 tff(30417,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s199)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s199))),
% 8.54/6.35 inference(quant_inst,[status(thm)],[])).
% 8.54/6.35 tff(30418,plain,
% 8.54/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s199))),
% 8.54/6.35 inference(modus_ponens,[status(thm)],[30417, 30416])).
% 8.54/6.35 tff(30419,plain,
% 8.54/6.35 ($false),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30418, 22690, 30412, 23114, 30411, 24569])).
% 8.54/6.35 tff(30420,plain,((~trans(s349, s199)) | until2p7(s199) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.35 tff(30421,plain,
% 8.54/6.35 (~trans(s349, s199)),
% 8.54/6.35 inference(unit_resolution,[status(thm)],[30420, 28404, 24569])).
% 8.54/6.35 tff(30422,assumption,(~until2p7(s93)), introduced(assumption)).
% 8.54/6.35 tff(30423,assumption,(trans(s349, s93)), introduced(assumption)).
% 8.54/6.35 tff(30424,plain,
% 8.54/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s93) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s93)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30425,plain,
% 8.54/6.36 (((~trans(s349, s93)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s93)) <=> (until2p7(s93) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s93)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30426,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s93)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s93) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s93))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30425])).
% 8.54/6.36 tff(30427,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s93)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s93)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30426, 30424])).
% 8.54/6.36 tff(30428,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s93)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s93))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30429,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s93))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30428, 30427])).
% 8.54/6.36 tff(30430,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30429, 22690, 30423, 23114, 30422, 24569])).
% 8.54/6.36 tff(30431,plain,((~trans(s349, s93)) | until2p7(s93) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30432,plain,
% 8.54/6.36 (~trans(s349, s93)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30431, 28767, 24569])).
% 8.54/6.36 tff(30433,assumption,(~until2p7(s328)), introduced(assumption)).
% 8.54/6.36 tff(30434,assumption,(trans(s349, s328)), introduced(assumption)).
% 8.54/6.36 tff(30435,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s328) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s328)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s328) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s328)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30436,plain,
% 8.54/6.36 (((~trans(s349, s328)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s328)) <=> (until2p7(s328) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s328)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30437,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s328)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s328) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s328))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30436])).
% 8.54/6.36 tff(30438,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s328)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s328) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s328)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30437, 30435])).
% 8.54/6.36 tff(30439,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s328)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s328))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30440,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s328) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s328))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30439, 30438])).
% 8.54/6.36 tff(30441,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30440, 22690, 30434, 23114, 30433, 24569])).
% 8.54/6.36 tff(30442,plain,((~trans(s349, s328)) | until2p7(s328) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30443,plain,
% 8.54/6.36 (~trans(s349, s328)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30442, 27924, 24569])).
% 8.54/6.36 tff(30444,assumption,(~until2p7(s85)), introduced(assumption)).
% 8.54/6.36 tff(30445,assumption,(trans(s349, s85)), introduced(assumption)).
% 8.54/6.36 tff(30446,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s85) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s85)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30447,plain,
% 8.54/6.36 (((~trans(s349, s85)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s85)) <=> (until2p7(s85) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s85)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30448,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s85)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s85) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s85))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30447])).
% 8.54/6.36 tff(30449,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s85)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s85)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30448, 30446])).
% 8.54/6.36 tff(30450,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s85)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s85))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30451,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s85))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30450, 30449])).
% 8.54/6.36 tff(30452,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30451, 22690, 30445, 23114, 30444, 24569])).
% 8.54/6.36 tff(30453,plain,((~trans(s349, s85)) | until2p7(s85) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30454,plain,
% 8.54/6.36 (~trans(s349, s85)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30453, 28798, 24569])).
% 8.54/6.36 tff(30455,assumption,(~until2p7(s304)), introduced(assumption)).
% 8.54/6.36 tff(30456,assumption,(trans(s349, s304)), introduced(assumption)).
% 8.54/6.36 tff(30457,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s304) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s304)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s304) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s304)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30458,plain,
% 8.54/6.36 (((~trans(s349, s304)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s304)) <=> (until2p7(s304) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s304)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30459,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s304)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s304) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s304))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30458])).
% 8.54/6.36 tff(30460,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s304)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s304) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s304)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30459, 30457])).
% 8.54/6.36 tff(30461,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s304)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s304))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30462,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s304) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s304))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30461, 30460])).
% 8.54/6.36 tff(30463,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30462, 22690, 30456, 23114, 30455, 24569])).
% 8.54/6.36 tff(30464,plain,((~trans(s349, s304)) | until2p7(s304) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30465,plain,
% 8.54/6.36 (~trans(s349, s304)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30464, 28020, 24569])).
% 8.54/6.36 tff(30466,assumption,(~until2p7(s252)), introduced(assumption)).
% 8.54/6.36 tff(30467,assumption,(trans(s349, s252)), introduced(assumption)).
% 8.54/6.36 tff(30468,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s252) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s252)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s252) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s252)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30469,plain,
% 8.54/6.36 (((~trans(s349, s252)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s252)) <=> (until2p7(s252) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s252)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30470,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s252)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s252) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s252))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30469])).
% 8.54/6.36 tff(30471,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s252)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s252) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s252)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30470, 30468])).
% 8.54/6.36 tff(30472,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s252)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s252))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30473,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s252) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s252))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30472, 30471])).
% 8.54/6.36 tff(30474,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30473, 22690, 30467, 23114, 30466, 24569])).
% 8.54/6.36 tff(30475,plain,((~trans(s349, s252)) | until2p7(s252) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30476,plain,
% 8.54/6.36 (~trans(s349, s252)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30475, 28221, 24569])).
% 8.54/6.36 tff(30477,assumption,(~until2p7(s39)), introduced(assumption)).
% 8.54/6.36 tff(30478,assumption,(trans(s349, s39)), introduced(assumption)).
% 8.54/6.36 tff(30479,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s39)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30480,plain,
% 8.54/6.36 (((~trans(s349, s39)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s39)) <=> (until2p7(s39) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s39)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30481,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s39)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s39))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30480])).
% 8.54/6.36 tff(30482,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s39)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s39)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30481, 30479])).
% 8.54/6.36 tff(30483,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s39)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s39))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30484,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s39))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30483, 30482])).
% 8.54/6.36 tff(30485,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30484, 22690, 30478, 23114, 30477, 24569])).
% 8.54/6.36 tff(30486,plain,((~trans(s349, s39)) | until2p7(s39) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30487,plain,
% 8.54/6.36 (~trans(s349, s39)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30486, 28982, 24569])).
% 8.54/6.36 tff(30488,assumption,(~until2p7(s205)), introduced(assumption)).
% 8.54/6.36 tff(30489,assumption,(trans(s349, s205)), introduced(assumption)).
% 8.54/6.36 tff(30490,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s205) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s205)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s205) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s205)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30491,plain,
% 8.54/6.36 (((~trans(s349, s205)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s205)) <=> (until2p7(s205) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s205)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30492,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s205)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s205) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s205))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30491])).
% 8.54/6.36 tff(30493,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s205)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s205) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s205)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30492, 30490])).
% 8.54/6.36 tff(30494,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s205)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s205))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30495,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s205) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s205))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30494, 30493])).
% 8.54/6.36 tff(30496,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30495, 22690, 30489, 23114, 30488, 24569])).
% 8.54/6.36 tff(30497,plain,((~trans(s349, s205)) | until2p7(s205) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30498,plain,
% 8.54/6.36 (~trans(s349, s205)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30497, 28384, 24569])).
% 8.54/6.36 tff(30499,assumption,(~until2p7(s23)), introduced(assumption)).
% 8.54/6.36 tff(30500,assumption,(trans(s349, s23)), introduced(assumption)).
% 8.54/6.36 tff(30501,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s23)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30502,plain,
% 8.54/6.36 (((~trans(s349, s23)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s23)) <=> (until2p7(s23) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s23)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30503,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s23)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s23))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30502])).
% 8.54/6.36 tff(30504,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s23)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s23)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30503, 30501])).
% 8.54/6.36 tff(30505,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s23)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s23))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30506,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s23))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30505, 30504])).
% 8.54/6.36 tff(30507,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30506, 22690, 30500, 23114, 30499, 24569])).
% 8.54/6.36 tff(30508,plain,((~trans(s349, s23)) | until2p7(s23) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30509,plain,
% 8.54/6.36 (~trans(s349, s23)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30508, 29055, 24569])).
% 8.54/6.36 tff(30510,assumption,(~until2p7(s77)), introduced(assumption)).
% 8.54/6.36 tff(30511,assumption,(trans(s349, s77)), introduced(assumption)).
% 8.54/6.36 tff(30512,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s77) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s77)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30513,plain,
% 8.54/6.36 (((~trans(s349, s77)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s77)) <=> (until2p7(s77) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s77)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30514,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s77)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s77) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s77))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30513])).
% 8.54/6.36 tff(30515,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s77)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s77)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30514, 30512])).
% 8.54/6.36 tff(30516,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s77)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s77))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30517,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s77))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30516, 30515])).
% 8.54/6.36 tff(30518,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30517, 22690, 30511, 23114, 30510, 24569])).
% 8.54/6.36 tff(30519,plain,((~trans(s349, s77)) | until2p7(s77) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30520,plain,
% 8.54/6.36 (~trans(s349, s77)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30519, 28830, 24569])).
% 8.54/6.36 tff(30521,assumption,(~until2p7(s187)), introduced(assumption)).
% 8.54/6.36 tff(30522,assumption,(trans(s349, s187)), introduced(assumption)).
% 8.54/6.36 tff(30523,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s187) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s187)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s187)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30524,plain,
% 8.54/6.36 (((~trans(s349, s187)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s187)) <=> (until2p7(s187) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s187)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30525,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s187)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s187) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s187))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30524])).
% 8.54/6.36 tff(30526,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s187)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s187)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30525, 30523])).
% 8.54/6.36 tff(30527,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s187)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s187))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30528,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s187))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30527, 30526])).
% 8.54/6.36 tff(30529,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30528, 22690, 30522, 23114, 30521, 24569])).
% 8.54/6.36 tff(30530,plain,((~trans(s349, s187)) | until2p7(s187) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30531,plain,
% 8.54/6.36 (~trans(s349, s187)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30530, 28447, 24569])).
% 8.54/6.36 tff(30532,assumption,(~until2p7(s135)), introduced(assumption)).
% 8.54/6.36 tff(30533,assumption,(trans(s349, s135)), introduced(assumption)).
% 8.54/6.36 tff(30534,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s135) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s135)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s135)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30535,plain,
% 8.54/6.36 (((~trans(s349, s135)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s135)) <=> (until2p7(s135) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s135)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30536,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s135)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s135) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s135))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30535])).
% 8.54/6.36 tff(30537,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s135)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s135)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30536, 30534])).
% 8.54/6.36 tff(30538,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s135)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s135))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30539,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s135))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30538, 30537])).
% 8.54/6.36 tff(30540,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30539, 22690, 30533, 23114, 30532, 24569])).
% 8.54/6.36 tff(30541,plain,((~trans(s349, s135)) | until2p7(s135) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30542,plain,
% 8.54/6.36 (~trans(s349, s135)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30541, 28621, 24569])).
% 8.54/6.36 tff(30543,assumption,(~until2p7(s122)), introduced(assumption)).
% 8.54/6.36 tff(30544,assumption,(trans(s349, s122)), introduced(assumption)).
% 8.54/6.36 tff(30545,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s122) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s122)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s122)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30546,plain,
% 8.54/6.36 (((~trans(s349, s122)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s122)) <=> (until2p7(s122) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s122)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30547,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s122)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s122) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s122))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30546])).
% 8.54/6.36 tff(30548,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s122)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s122)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30547, 30545])).
% 8.54/6.36 tff(30549,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s122)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s122))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30550,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s122))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30549, 30548])).
% 8.54/6.36 tff(30551,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30550, 22690, 30544, 23114, 30543, 24569])).
% 8.54/6.36 tff(30552,plain,((~trans(s349, s122)) | until2p7(s122) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30553,plain,
% 8.54/6.36 (~trans(s349, s122)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30552, 28665, 24569])).
% 8.54/6.36 tff(30554,assumption,(~until2p7(s163)), introduced(assumption)).
% 8.54/6.36 tff(30555,assumption,(trans(s349, s163)), introduced(assumption)).
% 8.54/6.36 tff(30556,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s163) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s163)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s163)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30557,plain,
% 8.54/6.36 (((~trans(s349, s163)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s163)) <=> (until2p7(s163) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s163)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30558,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s163)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s163) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s163))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30557])).
% 8.54/6.36 tff(30559,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s163)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s163)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30558, 30556])).
% 8.54/6.36 tff(30560,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s163)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s163))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30561,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s163))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30560, 30559])).
% 8.54/6.36 tff(30562,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30561, 22690, 30555, 23114, 30554, 24569])).
% 8.54/6.36 tff(30563,plain,((~trans(s349, s163)) | until2p7(s163) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30564,plain,
% 8.54/6.36 (~trans(s349, s163)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30563, 28526, 24569])).
% 8.54/6.36 tff(30565,assumption,(~until2p7(s264)), introduced(assumption)).
% 8.54/6.36 tff(30566,assumption,(trans(s349, s264)), introduced(assumption)).
% 8.54/6.36 tff(30567,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s264) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s264)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s264) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s264)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30568,plain,
% 8.54/6.36 (((~trans(s349, s264)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s264)) <=> (until2p7(s264) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s264)))),
% 8.54/6.36 inference(rewrite,[status(thm)],[])).
% 8.54/6.36 tff(30569,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s264)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s264) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s264))))),
% 8.54/6.36 inference(monotonicity,[status(thm)],[30568])).
% 8.54/6.36 tff(30570,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s264)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s264) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s264)))),
% 8.54/6.36 inference(transitivity,[status(thm)],[30569, 30567])).
% 8.54/6.36 tff(30571,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s264)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s264))),
% 8.54/6.36 inference(quant_inst,[status(thm)],[])).
% 8.54/6.36 tff(30572,plain,
% 8.54/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s264) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s264))),
% 8.54/6.36 inference(modus_ponens,[status(thm)],[30571, 30570])).
% 8.54/6.36 tff(30573,plain,
% 8.54/6.36 ($false),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30572, 22690, 30566, 23114, 30565, 24569])).
% 8.54/6.36 tff(30574,plain,((~trans(s349, s264)) | until2p7(s264) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.36 tff(30575,plain,
% 8.54/6.36 (~trans(s349, s264)),
% 8.54/6.36 inference(unit_resolution,[status(thm)],[30574, 28179, 24569])).
% 8.54/6.36 tff(30576,assumption,(~until2p7(s175)), introduced(assumption)).
% 8.54/6.36 tff(30577,assumption,(trans(s349, s175)), introduced(assumption)).
% 8.54/6.36 tff(30578,plain,
% 8.54/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s175) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s175)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s175)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30579,plain,
% 8.54/6.37 (((~trans(s349, s175)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s175)) <=> (until2p7(s175) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s175)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30580,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s175)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s175) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s175))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30579])).
% 8.54/6.37 tff(30581,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s175)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s175)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30580, 30578])).
% 8.54/6.37 tff(30582,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s175)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s175))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30583,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s175))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30582, 30581])).
% 8.54/6.37 tff(30584,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30583, 22690, 30577, 23114, 30576, 24569])).
% 8.54/6.37 tff(30585,plain,((~trans(s349, s175)) | until2p7(s175) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30586,plain,
% 8.54/6.37 (~trans(s349, s175)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30585, 28488, 24569])).
% 8.54/6.37 tff(30587,assumption,(~until2p7(s139)), introduced(assumption)).
% 8.54/6.37 tff(30588,assumption,(trans(s349, s139)), introduced(assumption)).
% 8.54/6.37 tff(30589,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s139) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s139)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s139)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30590,plain,
% 8.54/6.37 (((~trans(s349, s139)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s139)) <=> (until2p7(s139) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s139)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30591,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s139)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s139) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s139))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30590])).
% 8.54/6.37 tff(30592,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s139)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s139)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30591, 30589])).
% 8.54/6.37 tff(30593,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s139)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s139))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30594,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s139))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30593, 30592])).
% 8.54/6.37 tff(30595,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30594, 22690, 30588, 23114, 30587, 24569])).
% 8.54/6.37 tff(30596,plain,((~trans(s349, s139)) | until2p7(s139) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30597,plain,
% 8.54/6.37 (~trans(s349, s139)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30596, 28608, 24569])).
% 8.54/6.37 tff(30598,assumption,(~until2p7(s341)), introduced(assumption)).
% 8.54/6.37 tff(30599,assumption,(trans(s349, s341)), introduced(assumption)).
% 8.54/6.37 tff(30600,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s341) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s341)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s341) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s341)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30601,plain,
% 8.54/6.37 (((~trans(s349, s341)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s341)) <=> (until2p7(s341) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s341)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30602,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s341)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s341) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s341))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30601])).
% 8.54/6.37 tff(30603,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s341)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s341) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s341)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30602, 30600])).
% 8.54/6.37 tff(30604,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s341)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s341))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30605,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s341) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s341))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30604, 30603])).
% 8.54/6.37 tff(30606,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30605, 22690, 30599, 23114, 30598, 24569])).
% 8.54/6.37 tff(30607,plain,((~trans(s349, s341)) | until2p7(s341) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30608,plain,
% 8.54/6.37 (~trans(s349, s341)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30607, 27872, 24569])).
% 8.54/6.37 tff(30609,assumption,(~until2p7(s180)), introduced(assumption)).
% 8.54/6.37 tff(30610,assumption,(trans(s349, s180)), introduced(assumption)).
% 8.54/6.37 tff(30611,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s180) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s180)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s180)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30612,plain,
% 8.54/6.37 (((~trans(s349, s180)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s180)) <=> (until2p7(s180) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s180)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30613,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s180)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s180) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s180))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30612])).
% 8.54/6.37 tff(30614,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s180)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s180)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30613, 30611])).
% 8.54/6.37 tff(30615,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s180)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s180))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30616,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s180))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30615, 30614])).
% 8.54/6.37 tff(30617,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30616, 22690, 30610, 23114, 30609, 24569])).
% 8.54/6.37 tff(30618,plain,((~trans(s349, s180)) | until2p7(s180) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30619,plain,
% 8.54/6.37 (~trans(s349, s180)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30618, 28472, 24569])).
% 8.54/6.37 tff(30620,assumption,(~until2p7(s254)), introduced(assumption)).
% 8.54/6.37 tff(30621,assumption,(trans(s349, s254)), introduced(assumption)).
% 8.54/6.37 tff(30622,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s254) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s254)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s254) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s254)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30623,plain,
% 8.54/6.37 (((~trans(s349, s254)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s254)) <=> (until2p7(s254) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s254)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30624,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s254)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s254) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s254))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30623])).
% 8.54/6.37 tff(30625,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s254)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s254) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s254)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30624, 30622])).
% 8.54/6.37 tff(30626,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s254)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s254))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30627,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s254) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s254))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30626, 30625])).
% 8.54/6.37 tff(30628,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30627, 22690, 30621, 23114, 30620, 24569])).
% 8.54/6.37 tff(30629,plain,((~trans(s349, s254)) | until2p7(s254) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30630,plain,
% 8.54/6.37 (~trans(s349, s254)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30629, 28214, 24569])).
% 8.54/6.37 tff(30631,assumption,(~until2p7(s103)), introduced(assumption)).
% 8.54/6.37 tff(30632,assumption,(trans(s349, s103)), introduced(assumption)).
% 8.54/6.37 tff(30633,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s103) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s103)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s103)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30634,plain,
% 8.54/6.37 (((~trans(s349, s103)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s103)) <=> (until2p7(s103) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s103)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30635,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s103)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s103) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s103))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30634])).
% 8.54/6.37 tff(30636,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s103)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s103)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30635, 30633])).
% 8.54/6.37 tff(30637,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s103)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s103))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30638,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s103))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30637, 30636])).
% 8.54/6.37 tff(30639,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30638, 22690, 30632, 23114, 30631, 24569])).
% 8.54/6.37 tff(30640,plain,((~trans(s349, s103)) | until2p7(s103) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30641,plain,
% 8.54/6.37 (~trans(s349, s103)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30640, 28731, 24569])).
% 8.54/6.37 tff(30642,assumption,(~until2p7(s51)), introduced(assumption)).
% 8.54/6.37 tff(30643,assumption,(trans(s349, s51)), introduced(assumption)).
% 8.54/6.37 tff(30644,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s51) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s51)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30645,plain,
% 8.54/6.37 (((~trans(s349, s51)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s51)) <=> (until2p7(s51) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s51)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30646,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s51)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s51) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s51))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30645])).
% 8.54/6.37 tff(30647,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s51)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s51)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30646, 30644])).
% 8.54/6.37 tff(30648,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s51)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s51))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30649,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s51))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30648, 30647])).
% 8.54/6.37 tff(30650,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30649, 22690, 30643, 23114, 30642, 24569])).
% 8.54/6.37 tff(30651,plain,((~trans(s349, s51)) | until2p7(s51) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30652,plain,
% 8.54/6.37 (~trans(s349, s51)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30651, 28934, 24569])).
% 8.54/6.37 tff(30653,assumption,(~until2p7(s222)), introduced(assumption)).
% 8.54/6.37 tff(30654,assumption,(trans(s349, s222)), introduced(assumption)).
% 8.54/6.37 tff(30655,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s222) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s222)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s222) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s222)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30656,plain,
% 8.54/6.37 (((~trans(s349, s222)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s222)) <=> (until2p7(s222) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s222)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30657,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s222)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s222) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s222))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30656])).
% 8.54/6.37 tff(30658,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s222)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s222) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s222)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30657, 30655])).
% 8.54/6.37 tff(30659,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s222)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s222))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30660,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s222) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s222))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30659, 30658])).
% 8.54/6.37 tff(30661,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30660, 22690, 30654, 23114, 30653, 24569])).
% 8.54/6.37 tff(30662,plain,((~trans(s349, s222)) | until2p7(s222) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30663,plain,
% 8.54/6.37 (~trans(s349, s222)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30662, 28327, 24569])).
% 8.54/6.37 tff(30664,assumption,(~until2p7(s307)), introduced(assumption)).
% 8.54/6.37 tff(30665,assumption,(trans(s349, s307)), introduced(assumption)).
% 8.54/6.37 tff(30666,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s307) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s307)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s307) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s307)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30667,plain,
% 8.54/6.37 (((~trans(s349, s307)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s307)) <=> (until2p7(s307) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s307)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30668,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s307)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s307) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s307))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30667])).
% 8.54/6.37 tff(30669,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s307)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s307) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s307)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30668, 30666])).
% 8.54/6.37 tff(30670,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s307)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s307))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30671,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s307) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s307))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30670, 30669])).
% 8.54/6.37 tff(30672,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30671, 22690, 30665, 23114, 30664, 24569])).
% 8.54/6.37 tff(30673,plain,((~trans(s349, s307)) | until2p7(s307) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30674,plain,
% 8.54/6.37 (~trans(s349, s307)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30673, 28008, 24569])).
% 8.54/6.37 tff(30675,assumption,(~until2p7(s336)), introduced(assumption)).
% 8.54/6.37 tff(30676,assumption,(trans(s349, s336)), introduced(assumption)).
% 8.54/6.37 tff(30677,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s336) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s336)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s336) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s336)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30678,plain,
% 8.54/6.37 (((~trans(s349, s336)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s336)) <=> (until2p7(s336) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s336)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30679,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s336)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s336) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s336))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30678])).
% 8.54/6.37 tff(30680,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s336)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s336) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s336)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30679, 30677])).
% 8.54/6.37 tff(30681,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s336)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s336))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30682,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s336) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s336))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30681, 30680])).
% 8.54/6.37 tff(30683,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30682, 22690, 30676, 23114, 30675, 24569])).
% 8.54/6.37 tff(30684,plain,((~trans(s349, s336)) | until2p7(s336) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30685,plain,
% 8.54/6.37 (~trans(s349, s336)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30684, 27892, 24569])).
% 8.54/6.37 tff(30686,assumption,(~until2p7(s11)), introduced(assumption)).
% 8.54/6.37 tff(30687,assumption,(trans(s349, s11)), introduced(assumption)).
% 8.54/6.37 tff(30688,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s11)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30689,plain,
% 8.54/6.37 (((~trans(s349, s11)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s11)) <=> (until2p7(s11) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s11)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30690,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s11)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s11))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30689])).
% 8.54/6.37 tff(30691,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s11)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s11)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30690, 30688])).
% 8.54/6.37 tff(30692,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s11)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s11))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30693,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s11))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30692, 30691])).
% 8.54/6.37 tff(30694,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30693, 22690, 30687, 23114, 30686, 24569])).
% 8.54/6.37 tff(30695,plain,((~trans(s349, s11)) | until2p7(s11) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30696,plain,
% 8.54/6.37 (~trans(s349, s11)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30695, 29192, 24569])).
% 8.54/6.37 tff(30697,assumption,(~until2p7(s327)), introduced(assumption)).
% 8.54/6.37 tff(30698,assumption,(trans(s349, s327)), introduced(assumption)).
% 8.54/6.37 tff(30699,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s327) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s327)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s327) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s327)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30700,plain,
% 8.54/6.37 (((~trans(s349, s327)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s327)) <=> (until2p7(s327) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s327)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30701,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s327)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s327) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s327))))),
% 8.54/6.37 inference(monotonicity,[status(thm)],[30700])).
% 8.54/6.37 tff(30702,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s327)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s327) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s327)))),
% 8.54/6.37 inference(transitivity,[status(thm)],[30701, 30699])).
% 8.54/6.37 tff(30703,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s327)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s327))),
% 8.54/6.37 inference(quant_inst,[status(thm)],[])).
% 8.54/6.37 tff(30704,plain,
% 8.54/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s327) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s327))),
% 8.54/6.37 inference(modus_ponens,[status(thm)],[30703, 30702])).
% 8.54/6.37 tff(30705,plain,
% 8.54/6.37 ($false),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30704, 22690, 30698, 23114, 30697, 24569])).
% 8.54/6.37 tff(30706,plain,((~trans(s349, s327)) | until2p7(s327) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.37 tff(30707,plain,
% 8.54/6.37 (~trans(s349, s327)),
% 8.54/6.37 inference(unit_resolution,[status(thm)],[30706, 27928, 24569])).
% 8.54/6.37 tff(30708,assumption,(~until2p7(s185)), introduced(assumption)).
% 8.54/6.37 tff(30709,assumption,(trans(s349, s185)), introduced(assumption)).
% 8.54/6.37 tff(30710,plain,
% 8.54/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s185) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s185)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s185)))),
% 8.54/6.37 inference(rewrite,[status(thm)],[])).
% 8.54/6.37 tff(30711,plain,
% 8.54/6.37 (((~trans(s349, s185)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s185)) <=> (until2p7(s185) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s185)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30712,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s185)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s185) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s185))))),
% 8.54/6.38 inference(monotonicity,[status(thm)],[30711])).
% 8.54/6.38 tff(30713,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s185)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s185)))),
% 8.54/6.38 inference(transitivity,[status(thm)],[30712, 30710])).
% 8.54/6.38 tff(30714,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s185)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s185))),
% 8.54/6.38 inference(quant_inst,[status(thm)],[])).
% 8.54/6.38 tff(30715,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s185))),
% 8.54/6.38 inference(modus_ponens,[status(thm)],[30714, 30713])).
% 8.54/6.38 tff(30716,plain,
% 8.54/6.38 ($false),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30715, 22690, 30709, 23114, 30708, 24569])).
% 8.54/6.38 tff(30717,plain,((~trans(s349, s185)) | until2p7(s185) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.38 tff(30718,plain,
% 8.54/6.38 (~trans(s349, s185)),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30717, 28453, 24569])).
% 8.54/6.38 tff(30719,assumption,(~until2p7(s19)), introduced(assumption)).
% 8.54/6.38 tff(30720,assumption,(trans(s349, s19)), introduced(assumption)).
% 8.54/6.38 tff(30721,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s19)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30722,plain,
% 8.54/6.38 (((~trans(s349, s19)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s19)) <=> (until2p7(s19) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s19)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30723,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s19)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s19))))),
% 8.54/6.38 inference(monotonicity,[status(thm)],[30722])).
% 8.54/6.38 tff(30724,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s19)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s19)))),
% 8.54/6.38 inference(transitivity,[status(thm)],[30723, 30721])).
% 8.54/6.38 tff(30725,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s19)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s19))),
% 8.54/6.38 inference(quant_inst,[status(thm)],[])).
% 8.54/6.38 tff(30726,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s19))),
% 8.54/6.38 inference(modus_ponens,[status(thm)],[30725, 30724])).
% 8.54/6.38 tff(30727,plain,
% 8.54/6.38 ($false),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30726, 22690, 30720, 23114, 30719, 24569])).
% 8.54/6.38 tff(30728,plain,((~trans(s349, s19)) | until2p7(s19) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.38 tff(30729,plain,
% 8.54/6.38 (~trans(s349, s19)),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30728, 29068, 24569])).
% 8.54/6.38 tff(30730,assumption,(~until2p7(s108)), introduced(assumption)).
% 8.54/6.38 tff(30731,assumption,(trans(s349, s108)), introduced(assumption)).
% 8.54/6.38 tff(30732,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s108) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s108)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s108)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30733,plain,
% 8.54/6.38 (((~trans(s349, s108)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s108)) <=> (until2p7(s108) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s108)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30734,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s108)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s108) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s108))))),
% 8.54/6.38 inference(monotonicity,[status(thm)],[30733])).
% 8.54/6.38 tff(30735,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s108)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s108)))),
% 8.54/6.38 inference(transitivity,[status(thm)],[30734, 30732])).
% 8.54/6.38 tff(30736,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s108)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s108))),
% 8.54/6.38 inference(quant_inst,[status(thm)],[])).
% 8.54/6.38 tff(30737,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s108))),
% 8.54/6.38 inference(modus_ponens,[status(thm)],[30736, 30735])).
% 8.54/6.38 tff(30738,plain,
% 8.54/6.38 ($false),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30737, 22690, 30731, 23114, 30730, 24569])).
% 8.54/6.38 tff(30739,plain,((~trans(s349, s108)) | until2p7(s108) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.38 tff(30740,plain,
% 8.54/6.38 (~trans(s349, s108)),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30739, 28714, 24569])).
% 8.54/6.38 tff(30741,assumption,(~until2p7(s238)), introduced(assumption)).
% 8.54/6.38 tff(30742,assumption,(trans(s349, s238)), introduced(assumption)).
% 8.54/6.38 tff(30743,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s238) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s238)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s238) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s238)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30744,plain,
% 8.54/6.38 (((~trans(s349, s238)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s238)) <=> (until2p7(s238) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s238)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30745,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s238)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s238) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s238))))),
% 8.54/6.38 inference(monotonicity,[status(thm)],[30744])).
% 8.54/6.38 tff(30746,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s238)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s238) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s238)))),
% 8.54/6.38 inference(transitivity,[status(thm)],[30745, 30743])).
% 8.54/6.38 tff(30747,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s238)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s238))),
% 8.54/6.38 inference(quant_inst,[status(thm)],[])).
% 8.54/6.38 tff(30748,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s238) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s238))),
% 8.54/6.38 inference(modus_ponens,[status(thm)],[30747, 30746])).
% 8.54/6.38 tff(30749,plain,
% 8.54/6.38 ($false),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30748, 22690, 30742, 23114, 30741, 24569])).
% 8.54/6.38 tff(30750,plain,((~trans(s349, s238)) | until2p7(s238) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.38 tff(30751,plain,
% 8.54/6.38 (~trans(s349, s238)),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30750, 28270, 24569])).
% 8.54/6.38 tff(30752,assumption,(~until2p7(s20)), introduced(assumption)).
% 8.54/6.38 tff(30753,assumption,(trans(s349, s20)), introduced(assumption)).
% 8.54/6.38 tff(30754,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s20)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30755,plain,
% 8.54/6.38 (((~trans(s349, s20)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s20)) <=> (until2p7(s20) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s20)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30756,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s20)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s20))))),
% 8.54/6.38 inference(monotonicity,[status(thm)],[30755])).
% 8.54/6.38 tff(30757,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s20)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s20)))),
% 8.54/6.38 inference(transitivity,[status(thm)],[30756, 30754])).
% 8.54/6.38 tff(30758,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s20)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s20))),
% 8.54/6.38 inference(quant_inst,[status(thm)],[])).
% 8.54/6.38 tff(30759,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s20))),
% 8.54/6.38 inference(modus_ponens,[status(thm)],[30758, 30757])).
% 8.54/6.38 tff(30760,plain,
% 8.54/6.38 ($false),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30759, 22690, 30753, 23114, 30752, 24569])).
% 8.54/6.38 tff(30761,plain,((~trans(s349, s20)) | until2p7(s20) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.38 tff(30762,plain,
% 8.54/6.38 (~trans(s349, s20)),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30761, 29064, 24569])).
% 8.54/6.38 tff(30763,assumption,(~until2p7(s2)), introduced(assumption)).
% 8.54/6.38 tff(30764,assumption,(trans(s349, s2)), introduced(assumption)).
% 8.54/6.38 tff(30765,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s2)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30766,plain,
% 8.54/6.38 (((~trans(s349, s2)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s2)) <=> (until2p7(s2) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s2)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30767,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s2)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s2))))),
% 8.54/6.38 inference(monotonicity,[status(thm)],[30766])).
% 8.54/6.38 tff(30768,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s2)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s2)))),
% 8.54/6.38 inference(transitivity,[status(thm)],[30767, 30765])).
% 8.54/6.38 tff(30769,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s2)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s2))),
% 8.54/6.38 inference(quant_inst,[status(thm)],[])).
% 8.54/6.38 tff(30770,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s2))),
% 8.54/6.38 inference(modus_ponens,[status(thm)],[30769, 30768])).
% 8.54/6.38 tff(30771,plain,
% 8.54/6.38 ($false),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30770, 22690, 30764, 23114, 30763, 24569])).
% 8.54/6.38 tff(30772,plain,((~trans(s349, s2)) | until2p7(s2) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.38 tff(30773,plain,
% 8.54/6.38 (~trans(s349, s2)),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30772, 29267, 24569])).
% 8.54/6.38 tff(30774,assumption,(~until2p7(s190)), introduced(assumption)).
% 8.54/6.38 tff(30775,assumption,(trans(s349, s190)), introduced(assumption)).
% 8.54/6.38 tff(30776,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s190) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s190)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s190)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30777,plain,
% 8.54/6.38 (((~trans(s349, s190)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s190)) <=> (until2p7(s190) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s190)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30778,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s190)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s190) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s190))))),
% 8.54/6.38 inference(monotonicity,[status(thm)],[30777])).
% 8.54/6.38 tff(30779,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s190)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s190)))),
% 8.54/6.38 inference(transitivity,[status(thm)],[30778, 30776])).
% 8.54/6.38 tff(30780,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s190)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s190))),
% 8.54/6.38 inference(quant_inst,[status(thm)],[])).
% 8.54/6.38 tff(30781,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s190))),
% 8.54/6.38 inference(modus_ponens,[status(thm)],[30780, 30779])).
% 8.54/6.38 tff(30782,plain,
% 8.54/6.38 ($false),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30781, 22690, 30775, 23114, 30774, 24569])).
% 8.54/6.38 tff(30783,plain,((~trans(s349, s190)) | until2p7(s190) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.38 tff(30784,plain,
% 8.54/6.38 (~trans(s349, s190)),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30783, 28436, 24569])).
% 8.54/6.38 tff(30785,assumption,(~until2p7(s47)), introduced(assumption)).
% 8.54/6.38 tff(30786,assumption,(trans(s349, s47)), introduced(assumption)).
% 8.54/6.38 tff(30787,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s47)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30788,plain,
% 8.54/6.38 (((~trans(s349, s47)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s47)) <=> (until2p7(s47) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s47)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30789,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s47)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s47))))),
% 8.54/6.38 inference(monotonicity,[status(thm)],[30788])).
% 8.54/6.38 tff(30790,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s47)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s47)))),
% 8.54/6.38 inference(transitivity,[status(thm)],[30789, 30787])).
% 8.54/6.38 tff(30791,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s47)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s47))),
% 8.54/6.38 inference(quant_inst,[status(thm)],[])).
% 8.54/6.38 tff(30792,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s47))),
% 8.54/6.38 inference(modus_ponens,[status(thm)],[30791, 30790])).
% 8.54/6.38 tff(30793,plain,
% 8.54/6.38 ($false),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30792, 22690, 30786, 23114, 30785, 24569])).
% 8.54/6.38 tff(30794,plain,((~trans(s349, s47)) | until2p7(s47) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.38 tff(30795,plain,
% 8.54/6.38 (~trans(s349, s47)),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30794, 28950, 24569])).
% 8.54/6.38 tff(30796,assumption,(~until2p7(s66)), introduced(assumption)).
% 8.54/6.38 tff(30797,assumption,(trans(s349, s66)), introduced(assumption)).
% 8.54/6.38 tff(30798,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s66) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s66)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30799,plain,
% 8.54/6.38 (((~trans(s349, s66)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s66)) <=> (until2p7(s66) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s66)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30800,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s66)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s66) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s66))))),
% 8.54/6.38 inference(monotonicity,[status(thm)],[30799])).
% 8.54/6.38 tff(30801,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s66)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s66)))),
% 8.54/6.38 inference(transitivity,[status(thm)],[30800, 30798])).
% 8.54/6.38 tff(30802,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s66)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s66))),
% 8.54/6.38 inference(quant_inst,[status(thm)],[])).
% 8.54/6.38 tff(30803,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s66))),
% 8.54/6.38 inference(modus_ponens,[status(thm)],[30802, 30801])).
% 8.54/6.38 tff(30804,plain,
% 8.54/6.38 ($false),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30803, 22690, 30797, 23114, 30796, 24569])).
% 8.54/6.38 tff(30805,plain,((~trans(s349, s66)) | until2p7(s66) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.38 tff(30806,plain,
% 8.54/6.38 (~trans(s349, s66)),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30805, 28874, 24569])).
% 8.54/6.38 tff(30807,assumption,(~until2p7(s268)), introduced(assumption)).
% 8.54/6.38 tff(30808,assumption,(trans(s349, s268)), introduced(assumption)).
% 8.54/6.38 tff(30809,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s268) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s268)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s268) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s268)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30810,plain,
% 8.54/6.38 (((~trans(s349, s268)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s268)) <=> (until2p7(s268) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s268)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30811,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s268)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s268) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s268))))),
% 8.54/6.38 inference(monotonicity,[status(thm)],[30810])).
% 8.54/6.38 tff(30812,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s268)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s268) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s268)))),
% 8.54/6.38 inference(transitivity,[status(thm)],[30811, 30809])).
% 8.54/6.38 tff(30813,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s268)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s268))),
% 8.54/6.38 inference(quant_inst,[status(thm)],[])).
% 8.54/6.38 tff(30814,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s268) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s268))),
% 8.54/6.38 inference(modus_ponens,[status(thm)],[30813, 30812])).
% 8.54/6.38 tff(30815,plain,
% 8.54/6.38 ($false),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30814, 22690, 30808, 23114, 30807, 24569])).
% 8.54/6.38 tff(30816,plain,((~trans(s349, s268)) | until2p7(s268) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.38 tff(30817,plain,
% 8.54/6.38 (~trans(s349, s268)),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30816, 28164, 24569])).
% 8.54/6.38 tff(30818,assumption,(~until2p7(s26)), introduced(assumption)).
% 8.54/6.38 tff(30819,assumption,(trans(s349, s26)), introduced(assumption)).
% 8.54/6.38 tff(30820,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s26)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30821,plain,
% 8.54/6.38 (((~trans(s349, s26)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s26)) <=> (until2p7(s26) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s26)))),
% 8.54/6.38 inference(rewrite,[status(thm)],[])).
% 8.54/6.38 tff(30822,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s26)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s26))))),
% 8.54/6.38 inference(monotonicity,[status(thm)],[30821])).
% 8.54/6.38 tff(30823,plain,
% 8.54/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s26)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s26)))),
% 8.54/6.38 inference(transitivity,[status(thm)],[30822, 30820])).
% 8.54/6.38 tff(30824,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s26)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s26))),
% 8.54/6.38 inference(quant_inst,[status(thm)],[])).
% 8.54/6.38 tff(30825,plain,
% 8.54/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s26))),
% 8.54/6.38 inference(modus_ponens,[status(thm)],[30824, 30823])).
% 8.54/6.38 tff(30826,plain,
% 8.54/6.38 ($false),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30825, 22690, 30819, 23114, 30818, 24569])).
% 8.54/6.38 tff(30827,plain,((~trans(s349, s26)) | until2p7(s26) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.38 tff(30828,plain,
% 8.54/6.38 (~trans(s349, s26)),
% 8.54/6.38 inference(unit_resolution,[status(thm)],[30827, 29046, 24569])).
% 8.54/6.38 tff(30829,assumption,(~trans(s349, s347)), introduced(assumption)).
% 8.54/6.38 tff(30830,assumption,(~trans(s349, s337)), introduced(assumption)).
% 8.54/6.38 tff(30831,assumption,(~trans(s349, s338)), introduced(assumption)).
% 8.54/6.38 tff(30832,assumption,(~trans(s349, s344)), introduced(assumption)).
% 8.54/6.38 tff(30833,assumption,(~trans(s349, s333)), introduced(assumption)).
% 8.54/6.38 tff(30834,assumption,(~trans(s349, s332)), introduced(assumption)).
% 8.54/6.38 tff(30835,assumption,(~trans(s349, s330)), introduced(assumption)).
% 8.54/6.38 tff(30836,assumption,(~trans(s349, s331)), introduced(assumption)).
% 8.54/6.38 tff(30837,assumption,(~trans(s349, s72)), introduced(assumption)).
% 8.54/6.38 tff(30838,assumption,(~trans(s349, s172)), introduced(assumption)).
% 8.54/6.38 tff(30839,assumption,(~trans(s349, s134)), introduced(assumption)).
% 8.54/6.38 tff(30840,assumption,(~trans(s349, s229)), introduced(assumption)).
% 8.54/6.38 tff(30841,assumption,(~trans(s349, s160)), introduced(assumption)).
% 8.54/6.38 tff(30842,assumption,(~trans(s349, s213)), introduced(assumption)).
% 8.54/6.38 tff(30843,assumption,(~trans(s349, s62)), introduced(assumption)).
% 8.54/6.38 tff(30844,assumption,(~trans(s349, s8)), introduced(assumption)).
% 8.54/6.38 tff(30845,assumption,(~trans(s349, s156)), introduced(assumption)).
% 8.54/6.38 tff(30846,assumption,(~trans(s349, s303)), introduced(assumption)).
% 8.54/6.38 tff(30847,assumption,(~trans(s349, s200)), introduced(assumption)).
% 8.54/6.38 tff(30848,assumption,(~trans(s349, s33)), introduced(assumption)).
% 8.54/6.38 tff(30849,assumption,(~trans(s349, s148)), introduced(assumption)).
% 8.54/6.38 tff(30850,assumption,(~trans(s349, s25)), introduced(assumption)).
% 8.54/6.38 tff(30851,assumption,(~trans(s349, s65)), introduced(assumption)).
% 8.54/6.38 tff(30852,assumption,(~trans(s349, s40)), introduced(assumption)).
% 8.54/6.38 tff(30853,assumption,(~trans(s349, s282)), introduced(assumption)).
% 8.54/6.38 tff(30854,assumption,(~trans(s349, s209)), introduced(assumption)).
% 8.54/6.38 tff(30855,assumption,(~trans(s349, s233)), introduced(assumption)).
% 8.54/6.38 tff(30856,assumption,(~trans(s349, s208)), introduced(assumption)).
% 8.54/6.38 tff(30857,assumption,(~trans(s349, s235)), introduced(assumption)).
% 8.54/6.38 tff(30858,assumption,(~trans(s349, s310)), introduced(assumption)).
% 8.54/6.38 tff(30859,assumption,(~trans(s349, s133)), introduced(assumption)).
% 8.54/6.38 tff(30860,assumption,(~trans(s349, s227)), introduced(assumption)).
% 8.54/6.38 tff(30861,assumption,(~trans(s349, s314)), introduced(assumption)).
% 8.54/6.38 tff(30862,assumption,(~trans(s349, s18)), introduced(assumption)).
% 8.54/6.38 tff(30863,assumption,(~trans(s349, s309)), introduced(assumption)).
% 8.54/6.38 tff(30864,assumption,(~trans(s349, s305)), introduced(assumption)).
% 8.54/6.38 tff(30865,assumption,(~trans(s349, s114)), introduced(assumption)).
% 8.54/6.38 tff(30866,assumption,(~trans(s349, s78)), introduced(assumption)).
% 8.54/6.38 tff(30867,assumption,(~trans(s349, s153)), introduced(assumption)).
% 8.54/6.38 tff(30868,assumption,(~trans(s349, s226)), introduced(assumption)).
% 8.54/6.38 tff(30869,assumption,(~trans(s349, s191)), introduced(assumption)).
% 8.54/6.38 tff(30870,assumption,(~trans(s349, s183)), introduced(assumption)).
% 8.54/6.38 tff(30871,assumption,(~trans(s349, s145)), introduced(assumption)).
% 8.54/6.38 tff(30872,assumption,(~trans(s349, s203)), introduced(assumption)).
% 8.54/6.38 tff(30873,assumption,(~trans(s349, s278)), introduced(assumption)).
% 8.54/6.38 tff(30874,assumption,(~trans(s349, s121)), introduced(assumption)).
% 8.54/6.38 tff(30875,assumption,(~trans(s349, s292)), introduced(assumption)).
% 8.54/6.38 tff(30876,assumption,(~trans(s349, s302)), introduced(assumption)).
% 8.54/6.38 tff(30877,assumption,(~trans(s349, s28)), introduced(assumption)).
% 8.54/6.38 tff(30878,assumption,(~trans(s349, s112)), introduced(assumption)).
% 8.54/6.38 tff(30879,assumption,(~trans(s349, s79)), introduced(assumption)).
% 8.54/6.38 tff(30880,assumption,(~trans(s349, s76)), introduced(assumption)).
% 8.54/6.38 tff(30881,assumption,(~trans(s349, s258)), introduced(assumption)).
% 8.54/6.38 tff(30882,assumption,(~trans(s349, s266)), introduced(assumption)).
% 8.54/6.38 tff(30883,assumption,(~trans(s349, s232)), introduced(assumption)).
% 8.54/6.38 tff(30884,assumption,(~trans(s349, s270)), introduced(assumption)).
% 8.54/6.38 tff(30885,assumption,(~trans(s349, s48)), introduced(assumption)).
% 8.54/6.38 tff(30886,assumption,(~trans(s349, s184)), introduced(assumption)).
% 8.54/6.38 tff(30887,assumption,(~trans(s349, s81)), introduced(assumption)).
% 8.54/6.38 tff(30888,assumption,(~trans(s349, s165)), introduced(assumption)).
% 8.54/6.38 tff(30889,assumption,(~trans(s349, s74)), introduced(assumption)).
% 8.54/6.38 tff(30890,assumption,(~trans(s349, s45)), introduced(assumption)).
% 8.54/6.38 tff(30891,assumption,(~trans(s349, s167)), introduced(assumption)).
% 8.54/6.38 tff(30892,assumption,(~trans(s349, s92)), introduced(assumption)).
% 8.54/6.38 tff(30893,assumption,(~trans(s349, s115)), introduced(assumption)).
% 8.54/6.38 tff(30894,assumption,(~trans(s349, s54)), introduced(assumption)).
% 8.54/6.38 tff(30895,assumption,(~trans(s349, s130)), introduced(assumption)).
% 8.54/6.38 tff(30896,assumption,(~trans(s349, s89)), introduced(assumption)).
% 8.54/6.38 tff(30897,assumption,(~trans(s349, s242)), introduced(assumption)).
% 8.54/6.38 tff(30898,assumption,(~trans(s349, s325)), introduced(assumption)).
% 8.54/6.38 tff(30899,assumption,(~trans(s349, s123)), introduced(assumption)).
% 8.54/6.38 tff(30900,assumption,(~trans(s349, s297)), introduced(assumption)).
% 8.54/6.38 tff(30901,assumption,(~trans(s349, s136)), introduced(assumption)).
% 8.54/6.38 tff(30902,assumption,(~trans(s349, s280)), introduced(assumption)).
% 8.54/6.38 tff(30903,assumption,(~trans(s349, s178)), introduced(assumption)).
% 8.54/6.38 tff(30904,assumption,(~trans(s349, s120)), introduced(assumption)).
% 8.54/6.38 tff(30905,assumption,(~trans(s349, s43)), introduced(assumption)).
% 8.54/6.38 tff(30906,assumption,(~trans(s349, s88)), introduced(assumption)).
% 8.54/6.38 tff(30907,assumption,(~trans(s349, s149)), introduced(assumption)).
% 8.54/6.38 tff(30908,assumption,(~trans(s349, s316)), introduced(assumption)).
% 8.54/6.38 tff(30909,assumption,(~trans(s349, s188)), introduced(assumption)).
% 8.54/6.38 tff(30910,assumption,(~trans(s349, s15)), introduced(assumption)).
% 8.54/6.38 tff(30911,assumption,(~trans(s349, s312)), introduced(assumption)).
% 8.54/6.38 tff(30912,assumption,(~trans(s349, s306)), introduced(assumption)).
% 8.54/6.38 tff(30913,assumption,(~trans(s349, s84)), introduced(assumption)).
% 8.54/6.38 tff(30914,assumption,(~trans(s349, s34)), introduced(assumption)).
% 8.54/6.38 tff(30915,assumption,(~trans(s349, s228)), introduced(assumption)).
% 8.54/6.38 tff(30916,assumption,(~trans(s349, s75)), introduced(assumption)).
% 8.54/6.38 tff(30917,assumption,(~trans(s349, s299)), introduced(assumption)).
% 8.54/6.38 tff(30918,assumption,(~trans(s349, s119)), introduced(assumption)).
% 8.54/6.38 tff(30919,assumption,(~trans(s349, s68)), introduced(assumption)).
% 8.54/6.38 tff(30920,assumption,(~trans(s349, s10)), introduced(assumption)).
% 8.54/6.38 tff(30921,assumption,(~trans(s349, s214)), introduced(assumption)).
% 8.54/6.38 tff(30922,assumption,(~trans(s349, s151)), introduced(assumption)).
% 8.54/6.38 tff(30923,assumption,(~trans(s349, s132)), introduced(assumption)).
% 8.54/6.38 tff(30924,assumption,(~trans(s349, s219)), introduced(assumption)).
% 8.54/6.38 tff(30925,assumption,(~trans(s349, s272)), introduced(assumption)).
% 8.54/6.38 tff(30926,assumption,(~trans(s349, s102)), introduced(assumption)).
% 8.54/6.38 tff(30927,assumption,(~trans(s349, s143)), introduced(assumption)).
% 8.54/6.38 tff(30928,assumption,(~trans(s349, s44)), introduced(assumption)).
% 8.54/6.38 tff(30929,assumption,(~trans(s349, s37)), introduced(assumption)).
% 8.54/6.38 tff(30930,assumption,(~trans(s349, s137)), introduced(assumption)).
% 8.54/6.38 tff(30931,assumption,(~trans(s349, s170)), introduced(assumption)).
% 8.54/6.38 tff(30932,assumption,(~trans(s349, s61)), introduced(assumption)).
% 8.54/6.38 tff(30933,assumption,(~trans(s349, s49)), introduced(assumption)).
% 8.54/6.38 tff(30934,assumption,(~trans(s349, s101)), introduced(assumption)).
% 8.54/6.38 tff(30935,assumption,(~trans(s349, s50)), introduced(assumption)).
% 8.54/6.38 tff(30936,assumption,(~trans(s349, s158)), introduced(assumption)).
% 8.54/6.38 tff(30937,assumption,(~trans(s349, s59)), introduced(assumption)).
% 8.54/6.38 tff(30938,assumption,(~trans(s349, s162)), introduced(assumption)).
% 8.54/6.38 tff(30939,assumption,(~trans(s349, s295)), introduced(assumption)).
% 8.54/6.38 tff(30940,assumption,(~trans(s349, s83)), introduced(assumption)).
% 8.54/6.38 tff(30941,assumption,(~trans(s349, s38)), introduced(assumption)).
% 8.54/6.38 tff(30942,assumption,(~trans(s349, s286)), introduced(assumption)).
% 8.54/6.39 tff(30943,assumption,(~trans(s349, s55)), introduced(assumption)).
% 8.54/6.39 tff(30944,assumption,(~trans(s349, s117)), introduced(assumption)).
% 8.54/6.39 tff(30945,assumption,(~trans(s349, s27)), introduced(assumption)).
% 8.54/6.39 tff(30946,assumption,(~trans(s349, s300)), introduced(assumption)).
% 8.54/6.39 tff(30947,assumption,(~trans(s349, s260)), introduced(assumption)).
% 8.54/6.39 tff(30948,assumption,(~trans(s349, s174)), introduced(assumption)).
% 8.54/6.39 tff(30949,assumption,(~trans(s349, s294)), introduced(assumption)).
% 8.54/6.39 tff(30950,assumption,(~trans(s349, s186)), introduced(assumption)).
% 8.54/6.39 tff(30951,assumption,(~trans(s349, s192)), introduced(assumption)).
% 8.54/6.39 tff(30952,assumption,(~trans(s349, s56)), introduced(assumption)).
% 8.54/6.39 tff(30953,assumption,(~trans(s349, s87)), introduced(assumption)).
% 8.54/6.39 tff(30954,assumption,(~trans(s349, s17)), introduced(assumption)).
% 8.54/6.39 tff(30955,assumption,(~trans(s349, s69)), introduced(assumption)).
% 8.54/6.39 tff(30956,assumption,(~trans(s349, s118)), introduced(assumption)).
% 8.54/6.39 tff(30957,assumption,(~trans(s349, s321)), introduced(assumption)).
% 8.54/6.39 tff(30958,assumption,(~trans(s349, s206)), introduced(assumption)).
% 8.54/6.39 tff(30959,assumption,(~trans(s349, s97)), introduced(assumption)).
% 8.54/6.39 tff(30960,assumption,(~trans(s349, s67)), introduced(assumption)).
% 8.54/6.39 tff(30961,assumption,(~trans(s349, s80)), introduced(assumption)).
% 8.54/6.39 tff(30962,assumption,(~trans(s349, s100)), introduced(assumption)).
% 8.54/6.39 tff(30963,assumption,(~trans(s349, s147)), introduced(assumption)).
% 8.54/6.39 tff(30964,assumption,(~trans(s349, s244)), introduced(assumption)).
% 8.54/6.39 tff(30965,assumption,(~trans(s349, s204)), introduced(assumption)).
% 8.54/6.39 tff(30966,assumption,(~trans(s349, s144)), introduced(assumption)).
% 8.54/6.39 tff(30967,assumption,(~trans(s349, s106)), introduced(assumption)).
% 8.54/6.39 tff(30968,assumption,(~trans(s349, s86)), introduced(assumption)).
% 8.54/6.39 tff(30969,assumption,(~trans(s349, s96)), introduced(assumption)).
% 8.54/6.39 tff(30970,assumption,(~trans(s349, s181)), introduced(assumption)).
% 8.54/6.39 tff(30971,assumption,(~trans(s349, s146)), introduced(assumption)).
% 8.54/6.39 tff(30972,assumption,(~trans(s349, s24)), introduced(assumption)).
% 8.54/6.39 tff(30973,assumption,(~trans(s349, s63)), introduced(assumption)).
% 8.54/6.39 tff(30974,assumption,(~trans(s349, s58)), introduced(assumption)).
% 8.54/6.39 tff(30975,assumption,(~trans(s349, s116)), introduced(assumption)).
% 8.54/6.39 tff(30976,assumption,(~until2p7(s265)), introduced(assumption)).
% 8.54/6.39 tff(30977,assumption,(trans(s349, s265)), introduced(assumption)).
% 8.54/6.39 tff(30978,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s265) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s265)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s265) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s265)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(30979,plain,
% 8.54/6.39 (((~trans(s349, s265)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s265)) <=> (until2p7(s265) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s265)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(30980,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s265)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s265) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s265))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[30979])).
% 8.54/6.39 tff(30981,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s265)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s265) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s265)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[30980, 30978])).
% 8.54/6.39 tff(30982,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s265)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s265))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(30983,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s265) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s265))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[30982, 30981])).
% 8.54/6.39 tff(30984,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[30983, 22690, 30977, 23114, 30976, 24569])).
% 8.54/6.39 tff(30985,plain,((~trans(s349, s265)) | until2p7(s265) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(30986,plain,
% 8.54/6.39 (~trans(s349, s265)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[30985, 28175, 24569])).
% 8.54/6.39 tff(30987,assumption,(~until2p7(s293)), introduced(assumption)).
% 8.54/6.39 tff(30988,assumption,(trans(s349, s293)), introduced(assumption)).
% 8.54/6.39 tff(30989,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s293) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s293)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s293) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s293)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(30990,plain,
% 8.54/6.39 (((~trans(s349, s293)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s293)) <=> (until2p7(s293) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s293)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(30991,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s293)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s293) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s293))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[30990])).
% 8.54/6.39 tff(30992,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s293)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s293) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s293)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[30991, 30989])).
% 8.54/6.39 tff(30993,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s293)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s293))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(30994,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s293) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s293))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[30993, 30992])).
% 8.54/6.39 tff(30995,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[30994, 22690, 30988, 23114, 30987, 24569])).
% 8.54/6.39 tff(30996,plain,((~trans(s349, s293)) | until2p7(s293) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(30997,plain,
% 8.54/6.39 (~trans(s349, s293)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[30996, 28064, 24569])).
% 8.54/6.39 tff(30998,assumption,(~until2p7(s201)), introduced(assumption)).
% 8.54/6.39 tff(30999,assumption,(trans(s349, s201)), introduced(assumption)).
% 8.54/6.39 tff(31000,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s201) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s201)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s201) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s201)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31001,plain,
% 8.54/6.39 (((~trans(s349, s201)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s201)) <=> (until2p7(s201) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s201)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31002,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s201)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s201) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s201))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[31001])).
% 8.54/6.39 tff(31003,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s201)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s201) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s201)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[31002, 31000])).
% 8.54/6.39 tff(31004,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s201)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s201))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(31005,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s201) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s201))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[31004, 31003])).
% 8.54/6.39 tff(31006,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31005, 22690, 30999, 23114, 30998, 24569])).
% 8.54/6.39 tff(31007,plain,((~trans(s349, s201)) | until2p7(s201) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(31008,plain,
% 8.54/6.39 (~trans(s349, s201)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31007, 28398, 24569])).
% 8.54/6.39 tff(31009,assumption,(~until2p7(s291)), introduced(assumption)).
% 8.54/6.39 tff(31010,assumption,(trans(s349, s291)), introduced(assumption)).
% 8.54/6.39 tff(31011,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s291) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s291)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s291) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s291)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31012,plain,
% 8.54/6.39 (((~trans(s349, s291)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s291)) <=> (until2p7(s291) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s291)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31013,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s291)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s291) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s291))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[31012])).
% 8.54/6.39 tff(31014,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s291)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s291) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s291)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[31013, 31011])).
% 8.54/6.39 tff(31015,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s291)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s291))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(31016,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s291) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s291))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[31015, 31014])).
% 8.54/6.39 tff(31017,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31016, 22690, 31010, 23114, 31009, 24569])).
% 8.54/6.39 tff(31018,plain,((~trans(s349, s291)) | until2p7(s291) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(31019,plain,
% 8.54/6.39 (~trans(s349, s291)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31018, 28072, 24569])).
% 8.54/6.39 tff(31020,assumption,(~until2p7(s207)), introduced(assumption)).
% 8.54/6.39 tff(31021,assumption,(trans(s349, s207)), introduced(assumption)).
% 8.54/6.39 tff(31022,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s207) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s207)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s207) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s207)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31023,plain,
% 8.54/6.39 (((~trans(s349, s207)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s207)) <=> (until2p7(s207) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s207)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31024,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s207)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s207) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s207))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[31023])).
% 8.54/6.39 tff(31025,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s207)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s207) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s207)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[31024, 31022])).
% 8.54/6.39 tff(31026,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s207)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s207))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(31027,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s207) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s207))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[31026, 31025])).
% 8.54/6.39 tff(31028,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31027, 22690, 31021, 23114, 31020, 24569])).
% 8.54/6.39 tff(31029,plain,((~trans(s349, s207)) | until2p7(s207) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(31030,plain,
% 8.54/6.39 (~trans(s349, s207)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31029, 28378, 24569])).
% 8.54/6.39 tff(31031,assumption,(~until2p7(s289)), introduced(assumption)).
% 8.54/6.39 tff(31032,assumption,(trans(s349, s289)), introduced(assumption)).
% 8.54/6.39 tff(31033,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s289) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s289)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s289) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s289)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31034,plain,
% 8.54/6.39 (((~trans(s349, s289)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s289)) <=> (until2p7(s289) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s289)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31035,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s289)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s289) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s289))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[31034])).
% 8.54/6.39 tff(31036,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s289)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s289) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s289)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[31035, 31033])).
% 8.54/6.39 tff(31037,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s289)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s289))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(31038,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s289) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s289))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[31037, 31036])).
% 8.54/6.39 tff(31039,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31038, 22690, 31032, 23114, 31031, 24569])).
% 8.54/6.39 tff(31040,plain,((~trans(s349, s289)) | until2p7(s289) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(31041,plain,
% 8.54/6.39 (~trans(s349, s289)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31040, 28080, 24569])).
% 8.54/6.39 tff(31042,assumption,(~until2p7(s221)), introduced(assumption)).
% 8.54/6.39 tff(31043,assumption,(trans(s349, s221)), introduced(assumption)).
% 8.54/6.39 tff(31044,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s221) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s221)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s221) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s221)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31045,plain,
% 8.54/6.39 (((~trans(s349, s221)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s221)) <=> (until2p7(s221) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s221)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31046,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s221)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s221) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s221))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[31045])).
% 8.54/6.39 tff(31047,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s221)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s221) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s221)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[31046, 31044])).
% 8.54/6.39 tff(31048,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s221)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s221))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(31049,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s221) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s221))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[31048, 31047])).
% 8.54/6.39 tff(31050,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31049, 22690, 31043, 23114, 31042, 24569])).
% 8.54/6.39 tff(31051,plain,((~trans(s349, s221)) | until2p7(s221) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(31052,plain,
% 8.54/6.39 (~trans(s349, s221)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31051, 28330, 24569])).
% 8.54/6.39 tff(31053,assumption,(~until2p7(s287)), introduced(assumption)).
% 8.54/6.39 tff(31054,assumption,(trans(s349, s287)), introduced(assumption)).
% 8.54/6.39 tff(31055,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s287) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s287)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s287) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s287)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31056,plain,
% 8.54/6.39 (((~trans(s349, s287)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s287)) <=> (until2p7(s287) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s287)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31057,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s287)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s287) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s287))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[31056])).
% 8.54/6.39 tff(31058,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s287)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s287) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s287)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[31057, 31055])).
% 8.54/6.39 tff(31059,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s287)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s287))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(31060,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s287) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s287))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[31059, 31058])).
% 8.54/6.39 tff(31061,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31060, 22690, 31054, 23114, 31053, 24569])).
% 8.54/6.39 tff(31062,plain,((~trans(s349, s287)) | until2p7(s287) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(31063,plain,
% 8.54/6.39 (~trans(s349, s287)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31062, 28088, 24569])).
% 8.54/6.39 tff(31064,assumption,(~until2p7(s98)), introduced(assumption)).
% 8.54/6.39 tff(31065,assumption,(trans(s349, s98)), introduced(assumption)).
% 8.54/6.39 tff(31066,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s98) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s98)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31067,plain,
% 8.54/6.39 (((~trans(s349, s98)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s98)) <=> (until2p7(s98) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s98)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31068,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s98)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s98) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s98))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[31067])).
% 8.54/6.39 tff(31069,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s98)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s98)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[31068, 31066])).
% 8.54/6.39 tff(31070,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s98)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s98))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(31071,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s98))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[31070, 31069])).
% 8.54/6.39 tff(31072,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31071, 22690, 31065, 23114, 31064, 24569])).
% 8.54/6.39 tff(31073,plain,((~trans(s349, s98)) | until2p7(s98) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(31074,plain,
% 8.54/6.39 (~trans(s349, s98)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31073, 28750, 24569])).
% 8.54/6.39 tff(31075,assumption,(~until2p7(s285)), introduced(assumption)).
% 8.54/6.39 tff(31076,assumption,(trans(s349, s285)), introduced(assumption)).
% 8.54/6.39 tff(31077,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s285) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s285)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s285) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s285)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31078,plain,
% 8.54/6.39 (((~trans(s349, s285)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s285)) <=> (until2p7(s285) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s285)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31079,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s285)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s285) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s285))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[31078])).
% 8.54/6.39 tff(31080,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s285)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s285) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s285)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[31079, 31077])).
% 8.54/6.39 tff(31081,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s285)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s285))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(31082,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s285) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s285))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[31081, 31080])).
% 8.54/6.39 tff(31083,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31082, 22690, 31076, 23114, 31075, 24569])).
% 8.54/6.39 tff(31084,plain,((~trans(s349, s285)) | until2p7(s285) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(31085,plain,
% 8.54/6.39 (~trans(s349, s285)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31084, 28096, 24569])).
% 8.54/6.39 tff(31086,assumption,(~until2p7(s237)), introduced(assumption)).
% 8.54/6.39 tff(31087,assumption,(trans(s349, s237)), introduced(assumption)).
% 8.54/6.39 tff(31088,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s237) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s237)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s237) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s237)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31089,plain,
% 8.54/6.39 (((~trans(s349, s237)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s237)) <=> (until2p7(s237) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s237)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31090,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s237)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s237) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s237))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[31089])).
% 8.54/6.39 tff(31091,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s237)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s237) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s237)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[31090, 31088])).
% 8.54/6.39 tff(31092,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s237)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s237))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(31093,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s237) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s237))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[31092, 31091])).
% 8.54/6.39 tff(31094,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31093, 22690, 31087, 23114, 31086, 24569])).
% 8.54/6.39 tff(31095,plain,((~trans(s349, s237)) | until2p7(s237) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(31096,plain,
% 8.54/6.39 (~trans(s349, s237)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31095, 28274, 24569])).
% 8.54/6.39 tff(31097,assumption,(~until2p7(s283)), introduced(assumption)).
% 8.54/6.39 tff(31098,assumption,(trans(s349, s283)), introduced(assumption)).
% 8.54/6.39 tff(31099,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s283) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s283)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s283)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31100,plain,
% 8.54/6.39 (((~trans(s349, s283)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s283)) <=> (until2p7(s283) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s283)))),
% 8.54/6.39 inference(rewrite,[status(thm)],[])).
% 8.54/6.39 tff(31101,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s283)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s283) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s283))))),
% 8.54/6.39 inference(monotonicity,[status(thm)],[31100])).
% 8.54/6.39 tff(31102,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s283)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s283)))),
% 8.54/6.39 inference(transitivity,[status(thm)],[31101, 31099])).
% 8.54/6.39 tff(31103,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s283)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s283))),
% 8.54/6.39 inference(quant_inst,[status(thm)],[])).
% 8.54/6.39 tff(31104,plain,
% 8.54/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s283))),
% 8.54/6.39 inference(modus_ponens,[status(thm)],[31103, 31102])).
% 8.54/6.39 tff(31105,plain,
% 8.54/6.39 ($false),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31104, 22690, 31098, 23114, 31097, 24569])).
% 8.54/6.39 tff(31106,plain,((~trans(s349, s283)) | until2p7(s283) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.39 tff(31107,plain,
% 8.54/6.39 (~trans(s349, s283)),
% 8.54/6.39 inference(unit_resolution,[status(thm)],[31106, 28104, 24569])).
% 8.54/6.39 tff(31108,assumption,(~until2p7(s334)), introduced(assumption)).
% 8.54/6.39 tff(31109,assumption,(trans(s349, s334)), introduced(assumption)).
% 8.54/6.39 tff(31110,plain,
% 8.54/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s334) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s334)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s334) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s334)))),
% 8.54/6.40 inference(rewrite,[status(thm)],[])).
% 8.54/6.40 tff(31111,plain,
% 8.54/6.40 (((~trans(s349, s334)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s334)) <=> (until2p7(s334) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s334)))),
% 8.54/6.40 inference(rewrite,[status(thm)],[])).
% 8.54/6.40 tff(31112,plain,
% 8.54/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s334)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s334) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s334))))),
% 8.54/6.40 inference(monotonicity,[status(thm)],[31111])).
% 8.54/6.40 tff(31113,plain,
% 8.54/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s334)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s334) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s334)))),
% 8.54/6.40 inference(transitivity,[status(thm)],[31112, 31110])).
% 8.54/6.40 tff(31114,plain,
% 8.54/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s334)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s334))),
% 8.54/6.40 inference(quant_inst,[status(thm)],[])).
% 8.54/6.40 tff(31115,plain,
% 8.54/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s334) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s334))),
% 8.54/6.40 inference(modus_ponens,[status(thm)],[31114, 31113])).
% 8.54/6.40 tff(31116,plain,
% 8.54/6.40 ($false),
% 8.54/6.40 inference(unit_resolution,[status(thm)],[31115, 22690, 31109, 23114, 31108, 24569])).
% 8.54/6.40 tff(31117,plain,((~trans(s349, s334)) | until2p7(s334) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.40 tff(31118,plain,
% 8.54/6.40 (~trans(s349, s334)),
% 8.54/6.40 inference(unit_resolution,[status(thm)],[31117, 27900, 24569])).
% 8.54/6.40 tff(31119,assumption,(~until2p7(s313)), introduced(assumption)).
% 8.54/6.40 tff(31120,assumption,(trans(s349, s313)), introduced(assumption)).
% 8.54/6.40 tff(31121,plain,
% 8.54/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s313) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s313)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s313) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s313)))),
% 8.54/6.40 inference(rewrite,[status(thm)],[])).
% 8.54/6.40 tff(31122,plain,
% 8.54/6.40 (((~trans(s349, s313)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s313)) <=> (until2p7(s313) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s313)))),
% 8.54/6.40 inference(rewrite,[status(thm)],[])).
% 8.54/6.40 tff(31123,plain,
% 8.54/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s313)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s313) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s313))))),
% 8.54/6.40 inference(monotonicity,[status(thm)],[31122])).
% 8.54/6.40 tff(31124,plain,
% 8.54/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s313)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s313) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s313)))),
% 8.54/6.40 inference(transitivity,[status(thm)],[31123, 31121])).
% 8.54/6.40 tff(31125,plain,
% 8.54/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s313)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s313))),
% 8.54/6.40 inference(quant_inst,[status(thm)],[])).
% 8.54/6.40 tff(31126,plain,
% 8.54/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s313) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s313))),
% 8.54/6.40 inference(modus_ponens,[status(thm)],[31125, 31124])).
% 8.54/6.40 tff(31127,plain,
% 8.54/6.40 ($false),
% 8.54/6.40 inference(unit_resolution,[status(thm)],[31126, 22690, 31120, 23114, 31119, 24569])).
% 8.54/6.40 tff(31128,plain,((~trans(s349, s313)) | until2p7(s313) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.54/6.40 tff(31129,plain,
% 8.54/6.40 (~trans(s349, s313)),
% 8.54/6.40 inference(unit_resolution,[status(thm)],[31128, 27984, 24569])).
% 8.54/6.40 tff(31130,assumption,(~until2p7(s197)), introduced(assumption)).
% 8.54/6.40 tff(31131,assumption,(trans(s349, s197)), introduced(assumption)).
% 8.54/6.40 tff(31132,plain,
% 8.54/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s197) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s197)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s197)))),
% 8.54/6.40 inference(rewrite,[status(thm)],[])).
% 8.54/6.40 tff(31133,plain,
% 8.54/6.40 (((~trans(s349, s197)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s197)) <=> (until2p7(s197) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s197)))),
% 8.54/6.40 inference(rewrite,[status(thm)],[])).
% 8.54/6.40 tff(31134,plain,
% 8.54/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s197)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s197) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s197))))),
% 8.54/6.40 inference(monotonicity,[status(thm)],[31133])).
% 8.54/6.40 tff(31135,plain,
% 8.54/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s197)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s197)))),
% 8.54/6.40 inference(transitivity,[status(thm)],[31134, 31132])).
% 8.54/6.40 tff(31136,plain,
% 8.54/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s197)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s197))),
% 8.62/6.40 inference(quant_inst,[status(thm)],[])).
% 8.62/6.40 tff(31137,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s197))),
% 8.62/6.40 inference(modus_ponens,[status(thm)],[31136, 31135])).
% 8.62/6.40 tff(31138,plain,
% 8.62/6.40 ($false),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31137, 22690, 31131, 23114, 31130, 24569])).
% 8.62/6.40 tff(31139,plain,((~trans(s349, s197)) | until2p7(s197) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.40 tff(31140,plain,
% 8.62/6.40 (~trans(s349, s197)),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31139, 28410, 24569])).
% 8.62/6.40 tff(31141,assumption,(~until2p7(s281)), introduced(assumption)).
% 8.62/6.40 tff(31142,assumption,(trans(s349, s281)), introduced(assumption)).
% 8.62/6.40 tff(31143,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s281) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s281)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s281) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s281)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31144,plain,
% 8.62/6.40 (((~trans(s349, s281)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s281)) <=> (until2p7(s281) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s281)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31145,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s281)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s281) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s281))))),
% 8.62/6.40 inference(monotonicity,[status(thm)],[31144])).
% 8.62/6.40 tff(31146,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s281)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s281) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s281)))),
% 8.62/6.40 inference(transitivity,[status(thm)],[31145, 31143])).
% 8.62/6.40 tff(31147,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s281)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s281))),
% 8.62/6.40 inference(quant_inst,[status(thm)],[])).
% 8.62/6.40 tff(31148,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s281) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s281))),
% 8.62/6.40 inference(modus_ponens,[status(thm)],[31147, 31146])).
% 8.62/6.40 tff(31149,plain,
% 8.62/6.40 ($false),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31148, 22690, 31142, 23114, 31141, 24569])).
% 8.62/6.40 tff(31150,plain,((~trans(s349, s281)) | until2p7(s281) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.40 tff(31151,plain,
% 8.62/6.40 (~trans(s349, s281)),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31150, 28112, 24569])).
% 8.62/6.40 tff(31152,assumption,(~until2p7(s217)), introduced(assumption)).
% 8.62/6.40 tff(31153,assumption,(trans(s349, s217)), introduced(assumption)).
% 8.62/6.40 tff(31154,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s217) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s217)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s217) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s217)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31155,plain,
% 8.62/6.40 (((~trans(s349, s217)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s217)) <=> (until2p7(s217) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s217)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31156,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s217)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s217) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s217))))),
% 8.62/6.40 inference(monotonicity,[status(thm)],[31155])).
% 8.62/6.40 tff(31157,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s217)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s217) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s217)))),
% 8.62/6.40 inference(transitivity,[status(thm)],[31156, 31154])).
% 8.62/6.40 tff(31158,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s217)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s217))),
% 8.62/6.40 inference(quant_inst,[status(thm)],[])).
% 8.62/6.40 tff(31159,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s217) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s217))),
% 8.62/6.40 inference(modus_ponens,[status(thm)],[31158, 31157])).
% 8.62/6.40 tff(31160,plain,
% 8.62/6.40 ($false),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31159, 22690, 31153, 23114, 31152, 24569])).
% 8.62/6.40 tff(31161,plain,((~trans(s349, s217)) | until2p7(s217) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.40 tff(31162,plain,
% 8.62/6.40 (~trans(s349, s217)),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31161, 28343, 24569])).
% 8.62/6.40 tff(31163,assumption,(~until2p7(s279)), introduced(assumption)).
% 8.62/6.40 tff(31164,assumption,(trans(s349, s279)), introduced(assumption)).
% 8.62/6.40 tff(31165,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s279) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s279)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s279) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s279)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31166,plain,
% 8.62/6.40 (((~trans(s349, s279)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s279)) <=> (until2p7(s279) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s279)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31167,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s279)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s279) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s279))))),
% 8.62/6.40 inference(monotonicity,[status(thm)],[31166])).
% 8.62/6.40 tff(31168,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s279)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s279) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s279)))),
% 8.62/6.40 inference(transitivity,[status(thm)],[31167, 31165])).
% 8.62/6.40 tff(31169,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s279)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s279))),
% 8.62/6.40 inference(quant_inst,[status(thm)],[])).
% 8.62/6.40 tff(31170,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s279) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s279))),
% 8.62/6.40 inference(modus_ponens,[status(thm)],[31169, 31168])).
% 8.62/6.40 tff(31171,plain,
% 8.62/6.40 ($false),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31170, 22690, 31164, 23114, 31163, 24569])).
% 8.62/6.40 tff(31172,plain,((~trans(s349, s279)) | until2p7(s279) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.40 tff(31173,plain,
% 8.62/6.40 (~trans(s349, s279)),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31172, 28120, 24569])).
% 8.62/6.40 tff(31174,assumption,(~until2p7(s225)), introduced(assumption)).
% 8.62/6.40 tff(31175,assumption,(trans(s349, s225)), introduced(assumption)).
% 8.62/6.40 tff(31176,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s225) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s225)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s225) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s225)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31177,plain,
% 8.62/6.40 (((~trans(s349, s225)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s225)) <=> (until2p7(s225) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s225)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31178,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s225)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s225) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s225))))),
% 8.62/6.40 inference(monotonicity,[status(thm)],[31177])).
% 8.62/6.40 tff(31179,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s225)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s225) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s225)))),
% 8.62/6.40 inference(transitivity,[status(thm)],[31178, 31176])).
% 8.62/6.40 tff(31180,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s225)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s225))),
% 8.62/6.40 inference(quant_inst,[status(thm)],[])).
% 8.62/6.40 tff(31181,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s225) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s225))),
% 8.62/6.40 inference(modus_ponens,[status(thm)],[31180, 31179])).
% 8.62/6.40 tff(31182,plain,
% 8.62/6.40 ($false),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31181, 22690, 31175, 23114, 31174, 24569])).
% 8.62/6.40 tff(31183,plain,((~trans(s349, s225)) | until2p7(s225) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.40 tff(31184,plain,
% 8.62/6.40 (~trans(s349, s225)),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31183, 28317, 24569])).
% 8.62/6.40 tff(31185,assumption,(~until2p7(s290)), introduced(assumption)).
% 8.62/6.40 tff(31186,assumption,(trans(s349, s290)), introduced(assumption)).
% 8.62/6.40 tff(31187,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s290) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s290)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s290) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s290)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31188,plain,
% 8.62/6.40 (((~trans(s349, s290)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s290)) <=> (until2p7(s290) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s290)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31189,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s290)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s290) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s290))))),
% 8.62/6.40 inference(monotonicity,[status(thm)],[31188])).
% 8.62/6.40 tff(31190,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s290)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s290) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s290)))),
% 8.62/6.40 inference(transitivity,[status(thm)],[31189, 31187])).
% 8.62/6.40 tff(31191,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s290)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s290))),
% 8.62/6.40 inference(quant_inst,[status(thm)],[])).
% 8.62/6.40 tff(31192,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s290) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s290))),
% 8.62/6.40 inference(modus_ponens,[status(thm)],[31191, 31190])).
% 8.62/6.40 tff(31193,plain,
% 8.62/6.40 ($false),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31192, 22690, 31186, 23114, 31185, 24569])).
% 8.62/6.40 tff(31194,plain,((~trans(s349, s290)) | until2p7(s290) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.40 tff(31195,plain,
% 8.62/6.40 (~trans(s349, s290)),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31194, 28076, 24569])).
% 8.62/6.40 tff(31196,assumption,(~until2p7(s329)), introduced(assumption)).
% 8.62/6.40 tff(31197,assumption,(trans(s349, s329)), introduced(assumption)).
% 8.62/6.40 tff(31198,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s329) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s329)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s329) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s329)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31199,plain,
% 8.62/6.40 (((~trans(s349, s329)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s329)) <=> (until2p7(s329) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s329)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31200,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s329)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s329) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s329))))),
% 8.62/6.40 inference(monotonicity,[status(thm)],[31199])).
% 8.62/6.40 tff(31201,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s329)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s329) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s329)))),
% 8.62/6.40 inference(transitivity,[status(thm)],[31200, 31198])).
% 8.62/6.40 tff(31202,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s329)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s329))),
% 8.62/6.40 inference(quant_inst,[status(thm)],[])).
% 8.62/6.40 tff(31203,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s329) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s329))),
% 8.62/6.40 inference(modus_ponens,[status(thm)],[31202, 31201])).
% 8.62/6.40 tff(31204,plain,
% 8.62/6.40 ($false),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31203, 22690, 31197, 23114, 31196, 24569])).
% 8.62/6.40 tff(31205,plain,((~trans(s349, s329)) | until2p7(s329) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.40 tff(31206,plain,
% 8.62/6.40 (~trans(s349, s329)),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31205, 27920, 24569])).
% 8.62/6.40 tff(31207,assumption,(~until2p7(s277)), introduced(assumption)).
% 8.62/6.40 tff(31208,assumption,(trans(s349, s277)), introduced(assumption)).
% 8.62/6.40 tff(31209,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s277) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s277)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s277) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s277)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31210,plain,
% 8.62/6.40 (((~trans(s349, s277)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s277)) <=> (until2p7(s277) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s277)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31211,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s277)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s277) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s277))))),
% 8.62/6.40 inference(monotonicity,[status(thm)],[31210])).
% 8.62/6.40 tff(31212,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s277)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s277) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s277)))),
% 8.62/6.40 inference(transitivity,[status(thm)],[31211, 31209])).
% 8.62/6.40 tff(31213,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s277)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s277))),
% 8.62/6.40 inference(quant_inst,[status(thm)],[])).
% 8.62/6.40 tff(31214,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s277) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s277))),
% 8.62/6.40 inference(modus_ponens,[status(thm)],[31213, 31212])).
% 8.62/6.40 tff(31215,plain,
% 8.62/6.40 ($false),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31214, 22690, 31208, 23114, 31207, 24569])).
% 8.62/6.40 tff(31216,plain,((~trans(s349, s277)) | until2p7(s277) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.40 tff(31217,plain,
% 8.62/6.40 (~trans(s349, s277)),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31216, 28128, 24569])).
% 8.62/6.40 tff(31218,assumption,(~until2p7(s239)), introduced(assumption)).
% 8.62/6.40 tff(31219,assumption,(trans(s349, s239)), introduced(assumption)).
% 8.62/6.40 tff(31220,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s239) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s239)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s239) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s239)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31221,plain,
% 8.62/6.40 (((~trans(s349, s239)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s239)) <=> (until2p7(s239) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s239)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31222,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s239)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s239) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s239))))),
% 8.62/6.40 inference(monotonicity,[status(thm)],[31221])).
% 8.62/6.40 tff(31223,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s239)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s239) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s239)))),
% 8.62/6.40 inference(transitivity,[status(thm)],[31222, 31220])).
% 8.62/6.40 tff(31224,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s239)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s239))),
% 8.62/6.40 inference(quant_inst,[status(thm)],[])).
% 8.62/6.40 tff(31225,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s239) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s239))),
% 8.62/6.40 inference(modus_ponens,[status(thm)],[31224, 31223])).
% 8.62/6.40 tff(31226,plain,
% 8.62/6.40 ($false),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31225, 22690, 31219, 23114, 31218, 24569])).
% 8.62/6.40 tff(31227,plain,((~trans(s349, s239)) | until2p7(s239) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.40 tff(31228,plain,
% 8.62/6.40 (~trans(s349, s239)),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31227, 28267, 24569])).
% 8.62/6.40 tff(31229,assumption,(~until2p7(s275)), introduced(assumption)).
% 8.62/6.40 tff(31230,assumption,(trans(s349, s275)), introduced(assumption)).
% 8.62/6.40 tff(31231,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s275) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s275)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s275) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s275)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31232,plain,
% 8.62/6.40 (((~trans(s349, s275)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s275)) <=> (until2p7(s275) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s275)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31233,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s275)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s275) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s275))))),
% 8.62/6.40 inference(monotonicity,[status(thm)],[31232])).
% 8.62/6.40 tff(31234,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s275)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s275) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s275)))),
% 8.62/6.40 inference(transitivity,[status(thm)],[31233, 31231])).
% 8.62/6.40 tff(31235,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s275)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s275))),
% 8.62/6.40 inference(quant_inst,[status(thm)],[])).
% 8.62/6.40 tff(31236,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s275) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s275))),
% 8.62/6.40 inference(modus_ponens,[status(thm)],[31235, 31234])).
% 8.62/6.40 tff(31237,plain,
% 8.62/6.40 ($false),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31236, 22690, 31230, 23114, 31229, 24569])).
% 8.62/6.40 tff(31238,plain,((~trans(s349, s275)) | until2p7(s275) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.40 tff(31239,plain,
% 8.62/6.40 (~trans(s349, s275)),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31238, 28136, 24569])).
% 8.62/6.40 tff(31240,assumption,(~until2p7(s231)), introduced(assumption)).
% 8.62/6.40 tff(31241,assumption,(trans(s349, s231)), introduced(assumption)).
% 8.62/6.40 tff(31242,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s231) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s231)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s231) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s231)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31243,plain,
% 8.62/6.40 (((~trans(s349, s231)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s231)) <=> (until2p7(s231) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s231)))),
% 8.62/6.40 inference(rewrite,[status(thm)],[])).
% 8.62/6.40 tff(31244,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s231)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s231) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s231))))),
% 8.62/6.40 inference(monotonicity,[status(thm)],[31243])).
% 8.62/6.40 tff(31245,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s231)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s231) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s231)))),
% 8.62/6.40 inference(transitivity,[status(thm)],[31244, 31242])).
% 8.62/6.40 tff(31246,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s231)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s231))),
% 8.62/6.40 inference(quant_inst,[status(thm)],[])).
% 8.62/6.40 tff(31247,plain,
% 8.62/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s231) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s231))),
% 8.62/6.40 inference(modus_ponens,[status(thm)],[31246, 31245])).
% 8.62/6.40 tff(31248,plain,
% 8.62/6.40 ($false),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31247, 22690, 31241, 23114, 31240, 24569])).
% 8.62/6.40 tff(31249,plain,((~trans(s349, s231)) | until2p7(s231) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.40 tff(31250,plain,
% 8.62/6.40 (~trans(s349, s231)),
% 8.62/6.40 inference(unit_resolution,[status(thm)],[31249, 28296, 24569])).
% 8.62/6.40 tff(31251,assumption,(~until2p7(s273)), introduced(assumption)).
% 8.62/6.40 tff(31252,assumption,(trans(s349, s273)), introduced(assumption)).
% 8.62/6.40 tff(31253,plain,
% 8.62/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s273) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s273)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s273) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s273)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31254,plain,
% 8.62/6.41 (((~trans(s349, s273)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s273)) <=> (until2p7(s273) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s273)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31255,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s273)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s273) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s273))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31254])).
% 8.62/6.41 tff(31256,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s273)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s273) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s273)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31255, 31253])).
% 8.62/6.41 tff(31257,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s273)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s273))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31258,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s273) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s273))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31257, 31256])).
% 8.62/6.41 tff(31259,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31258, 22690, 31252, 23114, 31251, 24569])).
% 8.62/6.41 tff(31260,plain,((~trans(s349, s273)) | until2p7(s273) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31261,plain,
% 8.62/6.41 (~trans(s349, s273)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31260, 28144, 24569])).
% 8.62/6.41 tff(31262,assumption,(~until2p7(s241)), introduced(assumption)).
% 8.62/6.41 tff(31263,assumption,(trans(s349, s241)), introduced(assumption)).
% 8.62/6.41 tff(31264,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s241) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s241)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s241) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s241)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31265,plain,
% 8.62/6.41 (((~trans(s349, s241)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s241)) <=> (until2p7(s241) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s241)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31266,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s241)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s241) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s241))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31265])).
% 8.62/6.41 tff(31267,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s241)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s241) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s241)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31266, 31264])).
% 8.62/6.41 tff(31268,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s241)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s241))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31269,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s241) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s241))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31268, 31267])).
% 8.62/6.41 tff(31270,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31269, 22690, 31263, 23114, 31262, 24569])).
% 8.62/6.41 tff(31271,plain,((~trans(s349, s241)) | until2p7(s241) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31272,plain,
% 8.62/6.41 (~trans(s349, s241)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31271, 28260, 24569])).
% 8.62/6.41 tff(31273,assumption,(~until2p7(s271)), introduced(assumption)).
% 8.62/6.41 tff(31274,assumption,(trans(s349, s271)), introduced(assumption)).
% 8.62/6.41 tff(31275,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s271) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s271)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s271) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s271)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31276,plain,
% 8.62/6.41 (((~trans(s349, s271)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s271)) <=> (until2p7(s271) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s271)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31277,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s271)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s271) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s271))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31276])).
% 8.62/6.41 tff(31278,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s271)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s271) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s271)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31277, 31275])).
% 8.62/6.41 tff(31279,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s271)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s271))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31280,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s271) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s271))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31279, 31278])).
% 8.62/6.41 tff(31281,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31280, 22690, 31274, 23114, 31273, 24569])).
% 8.62/6.41 tff(31282,plain,((~trans(s349, s271)) | until2p7(s271) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31283,plain,
% 8.62/6.41 (~trans(s349, s271)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31282, 28152, 24569])).
% 8.62/6.41 tff(31284,assumption,(~until2p7(s243)), introduced(assumption)).
% 8.62/6.41 tff(31285,assumption,(trans(s349, s243)), introduced(assumption)).
% 8.62/6.41 tff(31286,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s243) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s243)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s243) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s243)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31287,plain,
% 8.62/6.41 (((~trans(s349, s243)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s243)) <=> (until2p7(s243) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s243)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31288,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s243)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s243) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s243))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31287])).
% 8.62/6.41 tff(31289,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s243)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s243) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s243)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31288, 31286])).
% 8.62/6.41 tff(31290,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s243)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s243))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31291,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s243) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s243))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31290, 31289])).
% 8.62/6.41 tff(31292,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31291, 22690, 31285, 23114, 31284, 24569])).
% 8.62/6.41 tff(31293,plain,((~trans(s349, s243)) | until2p7(s243) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31294,plain,
% 8.62/6.41 (~trans(s349, s243)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31293, 28253, 24569])).
% 8.62/6.41 tff(31295,assumption,(~until2p7(s315)), introduced(assumption)).
% 8.62/6.41 tff(31296,assumption,(trans(s349, s315)), introduced(assumption)).
% 8.62/6.41 tff(31297,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s315) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s315)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s315) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s315)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31298,plain,
% 8.62/6.41 (((~trans(s349, s315)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s315)) <=> (until2p7(s315) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s315)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31299,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s315)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s315) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s315))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31298])).
% 8.62/6.41 tff(31300,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s315)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s315) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s315)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31299, 31297])).
% 8.62/6.41 tff(31301,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s315)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s315))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31302,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s315) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s315))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31301, 31300])).
% 8.62/6.41 tff(31303,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31302, 22690, 31296, 23114, 31295, 24569])).
% 8.62/6.41 tff(31304,plain,((~trans(s349, s315)) | until2p7(s315) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31305,plain,
% 8.62/6.41 (~trans(s349, s315)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31304, 27976, 24569])).
% 8.62/6.41 tff(31306,assumption,(~until2p7(s324)), introduced(assumption)).
% 8.62/6.41 tff(31307,assumption,(trans(s349, s324)), introduced(assumption)).
% 8.62/6.41 tff(31308,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s324) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s324)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s324) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s324)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31309,plain,
% 8.62/6.41 (((~trans(s349, s324)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s324)) <=> (until2p7(s324) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s324)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31310,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s324)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s324) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s324))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31309])).
% 8.62/6.41 tff(31311,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s324)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s324) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s324)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31310, 31308])).
% 8.62/6.41 tff(31312,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s324)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s324))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31313,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s324) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s324))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31312, 31311])).
% 8.62/6.41 tff(31314,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31313, 22690, 31307, 23114, 31306, 24569])).
% 8.62/6.41 tff(31315,plain,((~trans(s349, s324)) | until2p7(s324) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31316,plain,
% 8.62/6.41 (~trans(s349, s324)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31315, 27940, 24569])).
% 8.62/6.41 tff(31317,assumption,(~until2p7(s269)), introduced(assumption)).
% 8.62/6.41 tff(31318,assumption,(trans(s349, s269)), introduced(assumption)).
% 8.62/6.41 tff(31319,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s269) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s269)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s269) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s269)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31320,plain,
% 8.62/6.41 (((~trans(s349, s269)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s269)) <=> (until2p7(s269) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s269)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31321,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s269)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s269) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s269))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31320])).
% 8.62/6.41 tff(31322,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s269)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s269) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s269)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31321, 31319])).
% 8.62/6.41 tff(31323,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s269)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s269))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31324,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s269) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s269))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31323, 31322])).
% 8.62/6.41 tff(31325,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31324, 22690, 31318, 23114, 31317, 24569])).
% 8.62/6.41 tff(31326,plain,((~trans(s349, s269)) | until2p7(s269) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31327,plain,
% 8.62/6.41 (~trans(s349, s269)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31326, 28160, 24569])).
% 8.62/6.41 tff(31328,assumption,(~until2p7(s245)), introduced(assumption)).
% 8.62/6.41 tff(31329,assumption,(trans(s349, s245)), introduced(assumption)).
% 8.62/6.41 tff(31330,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s245) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s245)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s245) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s245)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31331,plain,
% 8.62/6.41 (((~trans(s349, s245)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s245)) <=> (until2p7(s245) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s245)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31332,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s245)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s245) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s245))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31331])).
% 8.62/6.41 tff(31333,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s245)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s245) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s245)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31332, 31330])).
% 8.62/6.41 tff(31334,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s245)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s245))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31335,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s245) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s245))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31334, 31333])).
% 8.62/6.41 tff(31336,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31335, 22690, 31329, 23114, 31328, 24569])).
% 8.62/6.41 tff(31337,plain,((~trans(s349, s245)) | until2p7(s245) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31338,plain,
% 8.62/6.41 (~trans(s349, s245)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31337, 28246, 24569])).
% 8.62/6.41 tff(31339,assumption,(trans(s349, s349)), introduced(assumption)).
% 8.62/6.41 tff(31340,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s349) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s349)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s349) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s349)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31341,plain,
% 8.62/6.41 (((~trans(s349, s349)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s349)) <=> (until2p7(s349) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s349)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31342,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s349)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s349) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s349))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31341])).
% 8.62/6.41 tff(31343,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s349)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s349) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s349)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31342, 31340])).
% 8.62/6.41 tff(31344,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s349)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s349))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31345,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s349) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s349))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31344, 31343])).
% 8.62/6.41 tff(31346,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31345, 22690, 31339, 23114, 27840, 24569])).
% 8.62/6.41 tff(31347,plain,((~trans(s349, s349)) | until2p7(s349) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31348,plain,
% 8.62/6.41 (~trans(s349, s349)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31347, 27840, 24569])).
% 8.62/6.41 tff(31349,assumption,(~until2p7(s247)), introduced(assumption)).
% 8.62/6.41 tff(31350,assumption,(trans(s349, s247)), introduced(assumption)).
% 8.62/6.41 tff(31351,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s247) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s247)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s247) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s247)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31352,plain,
% 8.62/6.41 (((~trans(s349, s247)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s247)) <=> (until2p7(s247) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s247)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31353,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s247)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s247) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s247))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31352])).
% 8.62/6.41 tff(31354,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s247)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s247) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s247)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31353, 31351])).
% 8.62/6.41 tff(31355,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s247)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s247))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31356,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s247) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s247))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31355, 31354])).
% 8.62/6.41 tff(31357,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31356, 22690, 31350, 23114, 31349, 24569])).
% 8.62/6.41 tff(31358,plain,((~trans(s349, s247)) | until2p7(s247) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31359,plain,
% 8.62/6.41 (~trans(s349, s247)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31358, 28238, 24569])).
% 8.62/6.41 tff(31360,assumption,(~until2p7(s267)), introduced(assumption)).
% 8.62/6.41 tff(31361,assumption,(trans(s349, s267)), introduced(assumption)).
% 8.62/6.41 tff(31362,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s267) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s267)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s267) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s267)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31363,plain,
% 8.62/6.41 (((~trans(s349, s267)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s267)) <=> (until2p7(s267) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s267)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31364,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s267)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s267) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s267))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31363])).
% 8.62/6.41 tff(31365,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s267)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s267) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s267)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31364, 31362])).
% 8.62/6.41 tff(31366,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s267)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s267))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31367,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s267) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s267))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31366, 31365])).
% 8.62/6.41 tff(31368,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31367, 22690, 31361, 23114, 31360, 24569])).
% 8.62/6.41 tff(31369,plain,((~trans(s349, s267)) | until2p7(s267) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31370,plain,
% 8.62/6.41 (~trans(s349, s267)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31369, 28168, 24569])).
% 8.62/6.41 tff(31371,assumption,(~until2p7(s249)), introduced(assumption)).
% 8.62/6.41 tff(31372,assumption,(trans(s349, s249)), introduced(assumption)).
% 8.62/6.41 tff(31373,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s249) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s249)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s249) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s249)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31374,plain,
% 8.62/6.41 (((~trans(s349, s249)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s249)) <=> (until2p7(s249) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s249)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31375,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s249)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s249) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s249))))),
% 8.62/6.41 inference(monotonicity,[status(thm)],[31374])).
% 8.62/6.41 tff(31376,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s249)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s249) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s249)))),
% 8.62/6.41 inference(transitivity,[status(thm)],[31375, 31373])).
% 8.62/6.41 tff(31377,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s249)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s249))),
% 8.62/6.41 inference(quant_inst,[status(thm)],[])).
% 8.62/6.41 tff(31378,plain,
% 8.62/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s249) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s249))),
% 8.62/6.41 inference(modus_ponens,[status(thm)],[31377, 31376])).
% 8.62/6.41 tff(31379,plain,
% 8.62/6.41 ($false),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31378, 22690, 31372, 23114, 31371, 24569])).
% 8.62/6.41 tff(31380,plain,((~trans(s349, s249)) | until2p7(s249) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.41 tff(31381,plain,
% 8.62/6.41 (~trans(s349, s249)),
% 8.62/6.41 inference(unit_resolution,[status(thm)],[31380, 28231, 24569])).
% 8.62/6.41 tff(31382,assumption,(~until2p7(s263)), introduced(assumption)).
% 8.62/6.41 tff(31383,assumption,(trans(s349, s263)), introduced(assumption)).
% 8.62/6.41 tff(31384,plain,
% 8.62/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s263) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s263)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s263) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s263)))),
% 8.62/6.41 inference(rewrite,[status(thm)],[])).
% 8.62/6.41 tff(31385,plain,
% 8.62/6.41 (((~trans(s349, s263)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s263)) <=> (until2p7(s263) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s263)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31386,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s263)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s263) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s263))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31385])).
% 8.62/6.42 tff(31387,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s263)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s263) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s263)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31386, 31384])).
% 8.62/6.42 tff(31388,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s263)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s263))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31389,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s263) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s263))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31388, 31387])).
% 8.62/6.42 tff(31390,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31389, 22690, 31383, 23114, 31382, 24569])).
% 8.62/6.42 tff(31391,plain,((~trans(s349, s263)) | until2p7(s263) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31392,plain,
% 8.62/6.42 (~trans(s349, s263)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31391, 28183, 24569])).
% 8.62/6.42 tff(31393,assumption,(~until2p7(s322)), introduced(assumption)).
% 8.62/6.42 tff(31394,assumption,(trans(s349, s322)), introduced(assumption)).
% 8.62/6.42 tff(31395,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s322) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s322)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s322) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s322)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31396,plain,
% 8.62/6.42 (((~trans(s349, s322)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s322)) <=> (until2p7(s322) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s322)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31397,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s322)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s322) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s322))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31396])).
% 8.62/6.42 tff(31398,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s322)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s322) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s322)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31397, 31395])).
% 8.62/6.42 tff(31399,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s322)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s322))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31400,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s322) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s322))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31399, 31398])).
% 8.62/6.42 tff(31401,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31400, 22690, 31394, 23114, 31393, 24569])).
% 8.62/6.42 tff(31402,plain,((~trans(s349, s322)) | until2p7(s322) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31403,plain,
% 8.62/6.42 (~trans(s349, s322)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31402, 27948, 24569])).
% 8.62/6.42 tff(31404,assumption,(~until2p7(s246)), introduced(assumption)).
% 8.62/6.42 tff(31405,assumption,(trans(s349, s246)), introduced(assumption)).
% 8.62/6.42 tff(31406,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s246) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s246)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s246) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s246)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31407,plain,
% 8.62/6.42 (((~trans(s349, s246)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s246)) <=> (until2p7(s246) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s246)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31408,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s246)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s246) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s246))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31407])).
% 8.62/6.42 tff(31409,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s246)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s246) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s246)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31408, 31406])).
% 8.62/6.42 tff(31410,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s246)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s246))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31411,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s246) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s246))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31410, 31409])).
% 8.62/6.42 tff(31412,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31411, 22690, 31405, 23114, 31404, 24569])).
% 8.62/6.42 tff(31413,plain,((~trans(s349, s246)) | until2p7(s246) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31414,plain,
% 8.62/6.42 (~trans(s349, s246)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31413, 28242, 24569])).
% 8.62/6.42 tff(31415,assumption,(~until2p7(s253)), introduced(assumption)).
% 8.62/6.42 tff(31416,assumption,(trans(s349, s253)), introduced(assumption)).
% 8.62/6.42 tff(31417,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s253) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s253)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s253) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s253)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31418,plain,
% 8.62/6.42 (((~trans(s349, s253)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s253)) <=> (until2p7(s253) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s253)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31419,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s253)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s253) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s253))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31418])).
% 8.62/6.42 tff(31420,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s253)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s253) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s253)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31419, 31417])).
% 8.62/6.42 tff(31421,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s253)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s253))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31422,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s253) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s253))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31421, 31420])).
% 8.62/6.42 tff(31423,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31422, 22690, 31416, 23114, 31415, 24569])).
% 8.62/6.42 tff(31424,plain,((~trans(s349, s253)) | until2p7(s253) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31425,plain,
% 8.62/6.42 (~trans(s349, s253)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31424, 28218, 24569])).
% 8.62/6.42 tff(31426,assumption,(~until2p7(s261)), introduced(assumption)).
% 8.62/6.42 tff(31427,assumption,(trans(s349, s261)), introduced(assumption)).
% 8.62/6.42 tff(31428,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s261) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s261)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s261) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s261)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31429,plain,
% 8.62/6.42 (((~trans(s349, s261)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s261)) <=> (until2p7(s261) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s261)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31430,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s261)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s261) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s261))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31429])).
% 8.62/6.42 tff(31431,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s261)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s261) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s261)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31430, 31428])).
% 8.62/6.42 tff(31432,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s261)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s261))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31433,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s261) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s261))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31432, 31431])).
% 8.62/6.42 tff(31434,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31433, 22690, 31427, 23114, 31426, 24569])).
% 8.62/6.42 tff(31435,plain,((~trans(s349, s261)) | until2p7(s261) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31436,plain,
% 8.62/6.42 (~trans(s349, s261)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31435, 28189, 24569])).
% 8.62/6.42 tff(31437,assumption,(~until2p7(s255)), introduced(assumption)).
% 8.62/6.42 tff(31438,assumption,(trans(s349, s255)), introduced(assumption)).
% 8.62/6.42 tff(31439,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s255) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s255)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s255) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s255)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31440,plain,
% 8.62/6.42 (((~trans(s349, s255)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s255)) <=> (until2p7(s255) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s255)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31441,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s255)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s255) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s255))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31440])).
% 8.62/6.42 tff(31442,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s255)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s255) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s255)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31441, 31439])).
% 8.62/6.42 tff(31443,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s255)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s255))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31444,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s255) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s255))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31443, 31442])).
% 8.62/6.42 tff(31445,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31444, 22690, 31438, 23114, 31437, 24569])).
% 8.62/6.42 tff(31446,plain,((~trans(s349, s255)) | until2p7(s255) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31447,plain,
% 8.62/6.42 (~trans(s349, s255)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31446, 28210, 24569])).
% 8.62/6.42 tff(31448,assumption,(~until2p7(s251)), introduced(assumption)).
% 8.62/6.42 tff(31449,assumption,(trans(s349, s251)), introduced(assumption)).
% 8.62/6.42 tff(31450,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s251) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s251)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s251) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s251)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31451,plain,
% 8.62/6.42 (((~trans(s349, s251)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s251)) <=> (until2p7(s251) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s251)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31452,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s251)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s251) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s251))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31451])).
% 8.62/6.42 tff(31453,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s251)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s251) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s251)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31452, 31450])).
% 8.62/6.42 tff(31454,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s251)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s251))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31455,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s251) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s251))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31454, 31453])).
% 8.62/6.42 tff(31456,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31455, 22690, 31449, 23114, 31448, 24569])).
% 8.62/6.42 tff(31457,plain,((~trans(s349, s251)) | until2p7(s251) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31458,plain,
% 8.62/6.42 (~trans(s349, s251)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31457, 28224, 24569])).
% 8.62/6.42 tff(31459,assumption,(~until2p7(s257)), introduced(assumption)).
% 8.62/6.42 tff(31460,assumption,(trans(s349, s257)), introduced(assumption)).
% 8.62/6.42 tff(31461,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s257) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s257)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s257) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s257)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31462,plain,
% 8.62/6.42 (((~trans(s349, s257)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s257)) <=> (until2p7(s257) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s257)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31463,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s257)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s257) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s257))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31462])).
% 8.62/6.42 tff(31464,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s257)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s257) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s257)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31463, 31461])).
% 8.62/6.42 tff(31465,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s257)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s257))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31466,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s257) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s257))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31465, 31464])).
% 8.62/6.42 tff(31467,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31466, 22690, 31460, 23114, 31459, 24569])).
% 8.62/6.42 tff(31468,plain,((~trans(s349, s257)) | until2p7(s257) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31469,plain,
% 8.62/6.42 (~trans(s349, s257)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31468, 28203, 24569])).
% 8.62/6.42 tff(31470,assumption,(~until2p7(s319)), introduced(assumption)).
% 8.62/6.42 tff(31471,assumption,(trans(s349, s319)), introduced(assumption)).
% 8.62/6.42 tff(31472,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s319) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s319)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s319) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s319)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31473,plain,
% 8.62/6.42 (((~trans(s349, s319)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s319)) <=> (until2p7(s319) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s319)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31474,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s319)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s319) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s319))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31473])).
% 8.62/6.42 tff(31475,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s319)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s319) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s319)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31474, 31472])).
% 8.62/6.42 tff(31476,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s319)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s319))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31477,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s319) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s319))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31476, 31475])).
% 8.62/6.42 tff(31478,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31477, 22690, 31471, 23114, 31470, 24569])).
% 8.62/6.42 tff(31479,plain,((~trans(s349, s319)) | until2p7(s319) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31480,plain,
% 8.62/6.42 (~trans(s349, s319)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31479, 27960, 24569])).
% 8.62/6.42 tff(31481,assumption,(~until2p7(s259)), introduced(assumption)).
% 8.62/6.42 tff(31482,assumption,(trans(s349, s259)), introduced(assumption)).
% 8.62/6.42 tff(31483,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s259) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s259)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s259) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s259)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31484,plain,
% 8.62/6.42 (((~trans(s349, s259)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s259)) <=> (until2p7(s259) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s259)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31485,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s259)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s259) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s259))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31484])).
% 8.62/6.42 tff(31486,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s259)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s259) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s259)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31485, 31483])).
% 8.62/6.42 tff(31487,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s259)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s259))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31488,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s259) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s259))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31487, 31486])).
% 8.62/6.42 tff(31489,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31488, 22690, 31482, 23114, 31481, 24569])).
% 8.62/6.42 tff(31490,plain,((~trans(s349, s259)) | until2p7(s259) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31491,plain,
% 8.62/6.42 (~trans(s349, s259)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31490, 28197, 24569])).
% 8.62/6.42 tff(31492,assumption,(~until2p7(s320)), introduced(assumption)).
% 8.62/6.42 tff(31493,assumption,(trans(s349, s320)), introduced(assumption)).
% 8.62/6.42 tff(31494,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s320) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s320)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s320) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s320)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31495,plain,
% 8.62/6.42 (((~trans(s349, s320)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s320)) <=> (until2p7(s320) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s320)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31496,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s320)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s320) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s320))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31495])).
% 8.62/6.42 tff(31497,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s320)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s320) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s320)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31496, 31494])).
% 8.62/6.42 tff(31498,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s320)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s320))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31499,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s320) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s320))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31498, 31497])).
% 8.62/6.42 tff(31500,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31499, 22690, 31493, 23114, 31492, 24569])).
% 8.62/6.42 tff(31501,plain,((~trans(s349, s320)) | until2p7(s320) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31502,plain,
% 8.62/6.42 (~trans(s349, s320)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31501, 27956, 24569])).
% 8.62/6.42 tff(31503,assumption,(~until2p7(s326)), introduced(assumption)).
% 8.62/6.42 tff(31504,assumption,(trans(s349, s326)), introduced(assumption)).
% 8.62/6.42 tff(31505,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s326) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s326)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s326) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s326)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31506,plain,
% 8.62/6.42 (((~trans(s349, s326)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s326)) <=> (until2p7(s326) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s326)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31507,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s326)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s326) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s326))))),
% 8.62/6.42 inference(monotonicity,[status(thm)],[31506])).
% 8.62/6.42 tff(31508,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s326)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s326) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s326)))),
% 8.62/6.42 inference(transitivity,[status(thm)],[31507, 31505])).
% 8.62/6.42 tff(31509,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s326)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s326))),
% 8.62/6.42 inference(quant_inst,[status(thm)],[])).
% 8.62/6.42 tff(31510,plain,
% 8.62/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s326) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s326))),
% 8.62/6.42 inference(modus_ponens,[status(thm)],[31509, 31508])).
% 8.62/6.42 tff(31511,plain,
% 8.62/6.42 ($false),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31510, 22690, 31504, 23114, 31503, 24569])).
% 8.62/6.42 tff(31512,plain,((~trans(s349, s326)) | until2p7(s326) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.42 tff(31513,plain,
% 8.62/6.42 (~trans(s349, s326)),
% 8.62/6.42 inference(unit_resolution,[status(thm)],[31512, 27932, 24569])).
% 8.62/6.42 tff(31514,assumption,(~trans(s349, s311)), introduced(assumption)).
% 8.62/6.42 tff(31515,assumption,(~until2p7(s171)), introduced(assumption)).
% 8.62/6.42 tff(31516,assumption,(trans(s349, s171)), introduced(assumption)).
% 8.62/6.42 tff(31517,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s171) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s171)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s171)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31518,plain,
% 8.62/6.42 (((~trans(s349, s171)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s171)) <=> (until2p7(s171) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s171)))),
% 8.62/6.42 inference(rewrite,[status(thm)],[])).
% 8.62/6.42 tff(31519,plain,
% 8.62/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s171)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s171) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s171))))),
% 8.62/6.43 inference(monotonicity,[status(thm)],[31518])).
% 8.62/6.43 tff(31520,plain,
% 8.62/6.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s171)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s171)))),
% 8.62/6.43 inference(transitivity,[status(thm)],[31519, 31517])).
% 8.62/6.43 tff(31521,plain,
% 8.62/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s349, s171)) | (~last(s349)) | (~xuntil6(s349)) | until2p7(s171))),
% 8.62/6.43 inference(quant_inst,[status(thm)],[])).
% 8.62/6.43 tff(31522,plain,
% 8.62/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s349)) | (~xuntil6(s349)) | (~trans(s349, s171))),
% 8.62/6.43 inference(modus_ponens,[status(thm)],[31521, 31520])).
% 8.62/6.43 tff(31523,plain,
% 8.62/6.43 ($false),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31522, 22690, 31516, 23114, 31515, 24569])).
% 8.62/6.43 tff(31524,plain,((~trans(s349, s171)) | until2p7(s171) | (~xuntil6(s349))), inference(lemma,lemma(discharge,[]))).
% 8.62/6.43 tff(31525,plain,
% 8.62/6.43 (~trans(s349, s171)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31524, 28501, 24569])).
% 8.62/6.43 tff(31526,assumption,(~loop), introduced(assumption)).
% 8.62/6.43 tff(31527,plain,
% 8.62/6.43 (^[X: $i] : refl((loop | (~always3(X)) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 8.62/6.43 inference(bind,[status(th)],[])).
% 8.62/6.43 tff(31528,plain,
% 8.62/6.43 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 8.62/6.43 inference(quant_intro,[status(thm)],[31527])).
% 8.62/6.43 tff(31529,plain,
% 8.62/6.43 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 8.62/6.43 inference(rewrite,[status(thm)],[])).
% 8.62/6.43 tff(31530,plain,
% 8.62/6.43 (^[X: $i] : rewrite(((loop | (~always3(X))) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 8.62/6.43 inference(bind,[status(th)],[])).
% 8.62/6.43 tff(31531,plain,
% 8.62/6.43 (![X: $i] : ((loop | (~always3(X))) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 8.62/6.43 inference(quant_intro,[status(thm)],[31530])).
% 8.62/6.43 tff(31532,axiom,(![X: $i] : ((loop | (~always3(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty3')).
% 8.62/6.43 tff(31533,plain,
% 8.62/6.43 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 8.62/6.43 inference(modus_ponens,[status(thm)],[31532, 31531])).
% 8.62/6.43 tff(31534,plain,
% 8.62/6.43 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 8.62/6.43 inference(modus_ponens,[status(thm)],[31533, 31529])).
% 8.62/6.43 tff(31535,plain,(
% 8.62/6.43 ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 8.62/6.43 inference(skolemize,[status(sab)],[31534])).
% 8.62/6.43 tff(31536,plain,
% 8.62/6.43 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 8.62/6.43 inference(modus_ponens,[status(thm)],[31535, 31528])).
% 8.62/6.43 tff(31537,plain,
% 8.62/6.43 (((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s349)) | (~last(s349)))) <=> ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s349)) | (~last(s349)))),
% 8.62/6.43 inference(rewrite,[status(thm)],[])).
% 8.62/6.43 tff(31538,plain,
% 8.62/6.43 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s349)) | (~last(s349)))),
% 8.62/6.43 inference(quant_inst,[status(thm)],[])).
% 8.62/6.43 tff(31539,plain,
% 8.62/6.43 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s349)) | (~last(s349))),
% 8.62/6.43 inference(modus_ponens,[status(thm)],[31538, 31537])).
% 8.62/6.43 tff(31540,plain,
% 8.62/6.43 (loop | (~always3(s349))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31539, 22690, 31536])).
% 8.62/6.43 tff(31541,plain,
% 8.62/6.43 (~always3(s349)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31540, 31526])).
% 8.62/6.43 tff(31542,plain,
% 8.62/6.43 (~always3(s348)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19942, 31541])).
% 8.62/6.43 tff(31543,plain,
% 8.62/6.43 (~node4(s348)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22649, 16, 31542])).
% 8.62/6.43 tff(31544,plain,
% 8.62/6.43 (~node4(s349)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22673, 16, 31541])).
% 8.62/6.43 tff(31545,plain,
% 8.62/6.43 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 8.62/6.43 inference(bind,[status(th)],[])).
% 8.62/6.43 tff(31546,plain,
% 8.62/6.43 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 8.62/6.43 inference(quant_intro,[status(thm)],[31545])).
% 8.62/6.43 tff(31547,plain,
% 8.62/6.43 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 8.62/6.43 inference(rewrite,[status(thm)],[])).
% 8.62/6.43 tff(31548,plain,
% 8.62/6.43 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 8.62/6.43 inference(bind,[status(th)],[])).
% 8.62/6.43 tff(31549,plain,
% 8.62/6.43 (![X: $i] : ((loop | (~last(X))) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 8.62/6.43 inference(quant_intro,[status(thm)],[31548])).
% 8.62/6.43 tff(31550,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty8')).
% 8.62/6.43 tff(31551,plain,
% 8.62/6.43 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 8.62/6.43 inference(modus_ponens,[status(thm)],[31550, 31549])).
% 8.62/6.43 tff(31552,plain,
% 8.62/6.43 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 8.62/6.43 inference(modus_ponens,[status(thm)],[31551, 31547])).
% 8.62/6.43 tff(31553,plain,(
% 8.62/6.43 ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 8.62/6.43 inference(skolemize,[status(sab)],[31552])).
% 8.62/6.43 tff(31554,plain,
% 8.62/6.43 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 8.62/6.43 inference(modus_ponens,[status(thm)],[31553, 31546])).
% 8.62/6.43 tff(31555,plain,
% 8.62/6.43 (((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s349)) | (~xuntil6(s349)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s349)) | (~xuntil6(s349)))),
% 8.62/6.43 inference(rewrite,[status(thm)],[])).
% 8.62/6.43 tff(31556,plain,
% 8.62/6.43 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s349)) | (~xuntil6(s349)))),
% 8.62/6.43 inference(quant_inst,[status(thm)],[])).
% 8.62/6.43 tff(31557,plain,
% 8.62/6.43 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s349)) | (~xuntil6(s349))),
% 8.62/6.43 inference(modus_ponens,[status(thm)],[31556, 31555])).
% 8.62/6.43 tff(31558,plain,
% 8.62/6.43 (loop | (~xuntil6(s349))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31557, 22690, 31554])).
% 8.62/6.43 tff(31559,plain,
% 8.62/6.43 (~xuntil6(s349)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31558, 31526])).
% 8.62/6.43 tff(31560,plain,
% 8.62/6.43 (~until5(s349)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22669, 352, 31559, 31544])).
% 8.62/6.43 tff(31561,plain,
% 8.62/6.43 (~xuntil6(s348)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22662, 31560])).
% 8.62/6.43 tff(31562,plain,
% 8.62/6.43 (~until5(s348)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22656, 352, 31561, 31543])).
% 8.62/6.43 tff(31563,plain,
% 8.62/6.43 (~xuntil6(s347)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22645, 31562])).
% 8.62/6.43 tff(31564,plain,
% 8.62/6.43 (~always3(s347)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19954, 31542])).
% 8.62/6.43 tff(31565,plain,
% 8.62/6.43 (~node4(s347)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22632, 16, 31564])).
% 8.62/6.43 tff(31566,plain,
% 8.62/6.43 (xuntil6(s347) | (~until5(s347))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22639, 352, 31565])).
% 8.62/6.43 tff(31567,plain,
% 8.62/6.43 (~until5(s347)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31566, 31563])).
% 8.62/6.43 tff(31568,plain,
% 8.62/6.43 (~xuntil6(s346)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22628, 31567])).
% 8.62/6.43 tff(31569,plain,
% 8.62/6.43 (~always3(s346)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19966, 31564])).
% 8.62/6.43 tff(31570,plain,
% 8.62/6.43 (~node4(s346)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22615, 16, 31569])).
% 8.62/6.43 tff(31571,plain,
% 8.62/6.43 (xuntil6(s346) | (~until5(s346))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22622, 352, 31570])).
% 8.62/6.43 tff(31572,plain,
% 8.62/6.43 (~until5(s346)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31571, 31568])).
% 8.62/6.43 tff(31573,plain,
% 8.62/6.43 (~xuntil6(s345)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22611, 31572])).
% 8.62/6.43 tff(31574,plain,
% 8.62/6.43 (~always3(s345)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19978, 31569])).
% 8.62/6.43 tff(31575,plain,
% 8.62/6.43 (~node4(s345)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22598, 16, 31574])).
% 8.62/6.43 tff(31576,plain,
% 8.62/6.43 (xuntil6(s345) | (~until5(s345))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22605, 352, 31575])).
% 8.62/6.43 tff(31577,plain,
% 8.62/6.43 (~until5(s345)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31576, 31573])).
% 8.62/6.43 tff(31578,plain,
% 8.62/6.43 (~xuntil6(s344)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22594, 31577])).
% 8.62/6.43 tff(31579,plain,
% 8.62/6.43 (~always3(s344)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19990, 31574])).
% 8.62/6.43 tff(31580,plain,
% 8.62/6.43 (~node4(s344)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22581, 16, 31579])).
% 8.62/6.43 tff(31581,plain,
% 8.62/6.43 (xuntil6(s344) | (~until5(s344))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22588, 352, 31580])).
% 8.62/6.43 tff(31582,plain,
% 8.62/6.43 (~until5(s344)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31581, 31578])).
% 8.62/6.43 tff(31583,plain,
% 8.62/6.43 (~xuntil6(s343)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22577, 31582])).
% 8.62/6.43 tff(31584,plain,
% 8.62/6.43 (~always3(s343)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[20002, 31579])).
% 8.62/6.43 tff(31585,plain,
% 8.62/6.43 (~node4(s343)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22564, 16, 31584])).
% 8.62/6.43 tff(31586,plain,
% 8.62/6.43 (xuntil6(s343) | (~until5(s343))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22571, 352, 31585])).
% 8.62/6.43 tff(31587,plain,
% 8.62/6.43 (~until5(s343)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31586, 31583])).
% 8.62/6.43 tff(31588,plain,
% 8.62/6.43 (~xuntil6(s342)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22560, 31587])).
% 8.62/6.43 tff(31589,plain,
% 8.62/6.43 (~always3(s342)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[20014, 31584])).
% 8.62/6.43 tff(31590,plain,
% 8.62/6.43 (~node4(s342)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22547, 16, 31589])).
% 8.62/6.43 tff(31591,plain,
% 8.62/6.43 (xuntil6(s342) | (~until5(s342))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22554, 352, 31590])).
% 8.62/6.43 tff(31592,plain,
% 8.62/6.43 (~until5(s342)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31591, 31588])).
% 8.62/6.43 tff(31593,plain,
% 8.62/6.43 (~xuntil6(s341)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22543, 31592])).
% 8.62/6.43 tff(31594,plain,
% 8.62/6.43 (~always3(s341)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[20026, 31589])).
% 8.62/6.43 tff(31595,plain,
% 8.62/6.43 (~node4(s341)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22530, 16, 31594])).
% 8.62/6.43 tff(31596,plain,
% 8.62/6.43 (xuntil6(s341) | (~until5(s341))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22537, 352, 31595])).
% 8.62/6.43 tff(31597,plain,
% 8.62/6.43 (~until5(s341)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31596, 31593])).
% 8.62/6.43 tff(31598,plain,
% 8.62/6.43 (~xuntil6(s340)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22526, 31597])).
% 8.62/6.43 tff(31599,plain,
% 8.62/6.43 (~always3(s340)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[20038, 31594])).
% 8.62/6.43 tff(31600,plain,
% 8.62/6.43 (~node4(s340)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22513, 16, 31599])).
% 8.62/6.43 tff(31601,plain,
% 8.62/6.43 (xuntil6(s340) | (~until5(s340))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22520, 352, 31600])).
% 8.62/6.43 tff(31602,plain,
% 8.62/6.43 (~until5(s340)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31601, 31598])).
% 8.62/6.43 tff(31603,plain,
% 8.62/6.43 (~xuntil6(s339)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22509, 31602])).
% 8.62/6.43 tff(31604,plain,
% 8.62/6.43 (~always3(s339)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[20050, 31599])).
% 8.62/6.43 tff(31605,plain,
% 8.62/6.43 (~node4(s339)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22496, 16, 31604])).
% 8.62/6.43 tff(31606,plain,
% 8.62/6.43 (xuntil6(s339) | (~until5(s339))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22503, 352, 31605])).
% 8.62/6.43 tff(31607,plain,
% 8.62/6.43 (~until5(s339)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31606, 31603])).
% 8.62/6.43 tff(31608,plain,
% 8.62/6.43 (~xuntil6(s338)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22492, 31607])).
% 8.62/6.43 tff(31609,plain,
% 8.62/6.43 (~always3(s338)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[20062, 31604])).
% 8.62/6.43 tff(31610,plain,
% 8.62/6.43 (~node4(s338)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22479, 16, 31609])).
% 8.62/6.43 tff(31611,plain,
% 8.62/6.43 (xuntil6(s338) | (~until5(s338))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22486, 352, 31610])).
% 8.62/6.43 tff(31612,plain,
% 8.62/6.43 (~until5(s338)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31611, 31608])).
% 8.62/6.43 tff(31613,plain,
% 8.62/6.43 (~xuntil6(s337)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22475, 31612])).
% 8.62/6.43 tff(31614,plain,
% 8.62/6.43 (~always3(s337)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[18922, 31609])).
% 8.62/6.43 tff(31615,plain,
% 8.62/6.43 (~node4(s337)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22462, 16, 31614])).
% 8.62/6.43 tff(31616,plain,
% 8.62/6.43 (xuntil6(s337) | (~until5(s337))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22469, 352, 31615])).
% 8.62/6.43 tff(31617,plain,
% 8.62/6.43 (~until5(s337)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31616, 31613])).
% 8.62/6.43 tff(31618,plain,
% 8.62/6.43 (~xuntil6(s336)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22458, 31617])).
% 8.62/6.43 tff(31619,plain,
% 8.62/6.43 (~always3(s336)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[18934, 31614])).
% 8.62/6.43 tff(31620,plain,
% 8.62/6.43 (~node4(s336)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22445, 16, 31619])).
% 8.62/6.43 tff(31621,plain,
% 8.62/6.43 (xuntil6(s336) | (~until5(s336))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22452, 352, 31620])).
% 8.62/6.43 tff(31622,plain,
% 8.62/6.43 (~until5(s336)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31621, 31618])).
% 8.62/6.43 tff(31623,plain,
% 8.62/6.43 (~xuntil6(s335)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22441, 31622])).
% 8.62/6.43 tff(31624,plain,
% 8.62/6.43 (~always3(s335)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[18946, 31619])).
% 8.62/6.43 tff(31625,plain,
% 8.62/6.43 (~node4(s335)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22428, 16, 31624])).
% 8.62/6.43 tff(31626,plain,
% 8.62/6.43 (xuntil6(s335) | (~until5(s335))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22435, 352, 31625])).
% 8.62/6.43 tff(31627,plain,
% 8.62/6.43 (~until5(s335)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31626, 31623])).
% 8.62/6.43 tff(31628,plain,
% 8.62/6.43 (~xuntil6(s334)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22424, 31627])).
% 8.62/6.43 tff(31629,plain,
% 8.62/6.43 (~always3(s334)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[18958, 31624])).
% 8.62/6.43 tff(31630,plain,
% 8.62/6.43 (~node4(s334)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22411, 16, 31629])).
% 8.62/6.43 tff(31631,plain,
% 8.62/6.43 (xuntil6(s334) | (~until5(s334))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22418, 352, 31630])).
% 8.62/6.43 tff(31632,plain,
% 8.62/6.43 (~until5(s334)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31631, 31628])).
% 8.62/6.43 tff(31633,plain,
% 8.62/6.43 (~xuntil6(s333)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22407, 31632])).
% 8.62/6.43 tff(31634,plain,
% 8.62/6.43 (~always3(s333)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[18970, 31629])).
% 8.62/6.43 tff(31635,plain,
% 8.62/6.43 (~node4(s333)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22394, 16, 31634])).
% 8.62/6.43 tff(31636,plain,
% 8.62/6.43 (xuntil6(s333) | (~until5(s333))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22401, 352, 31635])).
% 8.62/6.43 tff(31637,plain,
% 8.62/6.43 (~until5(s333)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31636, 31633])).
% 8.62/6.43 tff(31638,plain,
% 8.62/6.43 (~xuntil6(s332)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22390, 31637])).
% 8.62/6.43 tff(31639,plain,
% 8.62/6.43 (~always3(s332)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[18982, 31634])).
% 8.62/6.43 tff(31640,plain,
% 8.62/6.43 (~node4(s332)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22377, 16, 31639])).
% 8.62/6.43 tff(31641,plain,
% 8.62/6.43 (xuntil6(s332) | (~until5(s332))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22384, 352, 31640])).
% 8.62/6.43 tff(31642,plain,
% 8.62/6.43 (~until5(s332)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31641, 31638])).
% 8.62/6.43 tff(31643,plain,
% 8.62/6.43 (~xuntil6(s331)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22373, 31642])).
% 8.62/6.43 tff(31644,plain,
% 8.62/6.43 (~always3(s331)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[18994, 31639])).
% 8.62/6.43 tff(31645,plain,
% 8.62/6.43 (~node4(s331)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22360, 16, 31644])).
% 8.62/6.43 tff(31646,plain,
% 8.62/6.43 (xuntil6(s331) | (~until5(s331))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22367, 352, 31645])).
% 8.62/6.43 tff(31647,plain,
% 8.62/6.43 (~until5(s331)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31646, 31643])).
% 8.62/6.43 tff(31648,plain,
% 8.62/6.43 (~xuntil6(s330)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22356, 31647])).
% 8.62/6.43 tff(31649,plain,
% 8.62/6.43 (~always3(s330)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19006, 31644])).
% 8.62/6.43 tff(31650,plain,
% 8.62/6.43 (~node4(s330)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22343, 16, 31649])).
% 8.62/6.43 tff(31651,plain,
% 8.62/6.43 (xuntil6(s330) | (~until5(s330))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22350, 352, 31650])).
% 8.62/6.43 tff(31652,plain,
% 8.62/6.43 (~until5(s330)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31651, 31648])).
% 8.62/6.43 tff(31653,plain,
% 8.62/6.43 (~xuntil6(s329)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22339, 31652])).
% 8.62/6.43 tff(31654,plain,
% 8.62/6.43 (~always3(s329)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19018, 31649])).
% 8.62/6.43 tff(31655,plain,
% 8.62/6.43 (~node4(s329)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22309, 16, 31654])).
% 8.62/6.43 tff(31656,plain,
% 8.62/6.43 (xuntil6(s329) | (~until5(s329))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22334, 352, 31655])).
% 8.62/6.43 tff(31657,plain,
% 8.62/6.43 (~until5(s329)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31656, 31653])).
% 8.62/6.43 tff(31658,plain,
% 8.62/6.43 (~xuntil6(s328)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22327, 31657])).
% 8.62/6.43 tff(31659,plain,
% 8.62/6.43 (~always3(s328)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19030, 31654])).
% 8.62/6.43 tff(31660,plain,
% 8.62/6.43 (~node4(s328)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22313, 16, 31659])).
% 8.62/6.43 tff(31661,plain,
% 8.62/6.43 (xuntil6(s328) | (~until5(s328))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22321, 352, 31660])).
% 8.62/6.43 tff(31662,plain,
% 8.62/6.43 (~until5(s328)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31661, 31658])).
% 8.62/6.43 tff(31663,plain,
% 8.62/6.43 (~xuntil6(s327)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22304, 31662])).
% 8.62/6.43 tff(31664,plain,
% 8.62/6.43 (~always3(s327)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19042, 31659])).
% 8.62/6.43 tff(31665,plain,
% 8.62/6.43 (~node4(s327)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22291, 16, 31664])).
% 8.62/6.43 tff(31666,plain,
% 8.62/6.43 (xuntil6(s327) | (~until5(s327))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22298, 352, 31665])).
% 8.62/6.43 tff(31667,plain,
% 8.62/6.43 (~until5(s327)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31666, 31663])).
% 8.62/6.43 tff(31668,plain,
% 8.62/6.43 (~xuntil6(s326)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22287, 31667])).
% 8.62/6.43 tff(31669,plain,
% 8.62/6.43 (~always3(s326)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19054, 31664])).
% 8.62/6.43 tff(31670,plain,
% 8.62/6.43 (~node4(s326)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22274, 16, 31669])).
% 8.62/6.43 tff(31671,plain,
% 8.62/6.43 (xuntil6(s326) | (~until5(s326))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22281, 352, 31670])).
% 8.62/6.43 tff(31672,plain,
% 8.62/6.43 (~until5(s326)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31671, 31668])).
% 8.62/6.43 tff(31673,plain,
% 8.62/6.43 (~xuntil6(s325)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22270, 31672])).
% 8.62/6.43 tff(31674,plain,
% 8.62/6.43 (~always3(s325)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19066, 31669])).
% 8.62/6.43 tff(31675,plain,
% 8.62/6.43 (~node4(s325)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22257, 16, 31674])).
% 8.62/6.43 tff(31676,plain,
% 8.62/6.43 (xuntil6(s325) | (~until5(s325))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22264, 352, 31675])).
% 8.62/6.43 tff(31677,plain,
% 8.62/6.43 (~until5(s325)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31676, 31673])).
% 8.62/6.43 tff(31678,plain,
% 8.62/6.43 (~xuntil6(s324)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22253, 31677])).
% 8.62/6.43 tff(31679,plain,
% 8.62/6.43 (~always3(s324)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19078, 31674])).
% 8.62/6.43 tff(31680,plain,
% 8.62/6.43 (~node4(s324)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22240, 16, 31679])).
% 8.62/6.43 tff(31681,plain,
% 8.62/6.43 (xuntil6(s324) | (~until5(s324))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22247, 352, 31680])).
% 8.62/6.43 tff(31682,plain,
% 8.62/6.43 (~until5(s324)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31681, 31678])).
% 8.62/6.43 tff(31683,plain,
% 8.62/6.43 (~xuntil6(s323)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22236, 31682])).
% 8.62/6.43 tff(31684,plain,
% 8.62/6.43 (~always3(s323)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19090, 31679])).
% 8.62/6.43 tff(31685,plain,
% 8.62/6.43 (~node4(s323)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22223, 16, 31684])).
% 8.62/6.43 tff(31686,plain,
% 8.62/6.43 (xuntil6(s323) | (~until5(s323))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22230, 352, 31685])).
% 8.62/6.43 tff(31687,plain,
% 8.62/6.43 (~until5(s323)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31686, 31683])).
% 8.62/6.43 tff(31688,plain,
% 8.62/6.43 (~xuntil6(s322)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22219, 31687])).
% 8.62/6.43 tff(31689,plain,
% 8.62/6.43 (~always3(s322)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19102, 31684])).
% 8.62/6.43 tff(31690,plain,
% 8.62/6.43 (~node4(s322)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22206, 16, 31689])).
% 8.62/6.43 tff(31691,plain,
% 8.62/6.43 (xuntil6(s322) | (~until5(s322))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22213, 352, 31690])).
% 8.62/6.43 tff(31692,plain,
% 8.62/6.43 (~until5(s322)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31691, 31688])).
% 8.62/6.43 tff(31693,plain,
% 8.62/6.43 (~xuntil6(s321)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22202, 31692])).
% 8.62/6.43 tff(31694,plain,
% 8.62/6.43 (~always3(s321)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19114, 31689])).
% 8.62/6.43 tff(31695,plain,
% 8.62/6.43 (~node4(s321)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22189, 16, 31694])).
% 8.62/6.43 tff(31696,plain,
% 8.62/6.43 (xuntil6(s321) | (~until5(s321))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22196, 352, 31695])).
% 8.62/6.43 tff(31697,plain,
% 8.62/6.43 (~until5(s321)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31696, 31693])).
% 8.62/6.43 tff(31698,plain,
% 8.62/6.43 (~xuntil6(s320)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22185, 31697])).
% 8.62/6.43 tff(31699,plain,
% 8.62/6.43 (~always3(s320)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19126, 31694])).
% 8.62/6.43 tff(31700,plain,
% 8.62/6.43 (~node4(s320)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22172, 16, 31699])).
% 8.62/6.43 tff(31701,plain,
% 8.62/6.43 (xuntil6(s320) | (~until5(s320))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22179, 352, 31700])).
% 8.62/6.43 tff(31702,plain,
% 8.62/6.43 (~until5(s320)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31701, 31698])).
% 8.62/6.43 tff(31703,plain,
% 8.62/6.43 (~xuntil6(s319)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22168, 31702])).
% 8.62/6.43 tff(31704,plain,
% 8.62/6.43 (~always3(s319)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19138, 31699])).
% 8.62/6.43 tff(31705,plain,
% 8.62/6.43 (~node4(s319)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22155, 16, 31704])).
% 8.62/6.43 tff(31706,plain,
% 8.62/6.43 (xuntil6(s319) | (~until5(s319))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22162, 352, 31705])).
% 8.62/6.43 tff(31707,plain,
% 8.62/6.43 (~until5(s319)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31706, 31703])).
% 8.62/6.43 tff(31708,plain,
% 8.62/6.43 (~xuntil6(s318)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22151, 31707])).
% 8.62/6.43 tff(31709,plain,
% 8.62/6.43 (~always3(s318)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19150, 31704])).
% 8.62/6.43 tff(31710,plain,
% 8.62/6.43 (~node4(s318)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22138, 16, 31709])).
% 8.62/6.43 tff(31711,plain,
% 8.62/6.43 (xuntil6(s318) | (~until5(s318))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22145, 352, 31710])).
% 8.62/6.43 tff(31712,plain,
% 8.62/6.43 (~until5(s318)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31711, 31708])).
% 8.62/6.43 tff(31713,plain,
% 8.62/6.43 (~xuntil6(s317)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22134, 31712])).
% 8.62/6.43 tff(31714,plain,
% 8.62/6.43 (~always3(s317)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19162, 31709])).
% 8.62/6.43 tff(31715,plain,
% 8.62/6.43 (~node4(s317)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22121, 16, 31714])).
% 8.62/6.43 tff(31716,plain,
% 8.62/6.43 (xuntil6(s317) | (~until5(s317))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22128, 352, 31715])).
% 8.62/6.43 tff(31717,plain,
% 8.62/6.43 (~until5(s317)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31716, 31713])).
% 8.62/6.43 tff(31718,plain,
% 8.62/6.43 (~xuntil6(s316)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22117, 31717])).
% 8.62/6.43 tff(31719,plain,
% 8.62/6.43 (~always3(s316)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19174, 31714])).
% 8.62/6.43 tff(31720,plain,
% 8.62/6.43 (~node4(s316)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22104, 16, 31719])).
% 8.62/6.43 tff(31721,plain,
% 8.62/6.43 (xuntil6(s316) | (~until5(s316))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22111, 352, 31720])).
% 8.62/6.43 tff(31722,plain,
% 8.62/6.43 (~until5(s316)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31721, 31718])).
% 8.62/6.43 tff(31723,plain,
% 8.62/6.43 (~xuntil6(s315)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22100, 31722])).
% 8.62/6.43 tff(31724,plain,
% 8.62/6.43 (~always3(s315)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19186, 31719])).
% 8.62/6.43 tff(31725,plain,
% 8.62/6.43 (~node4(s315)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22087, 16, 31724])).
% 8.62/6.43 tff(31726,plain,
% 8.62/6.43 (xuntil6(s315) | (~until5(s315))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22094, 352, 31725])).
% 8.62/6.43 tff(31727,plain,
% 8.62/6.43 (~until5(s315)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31726, 31723])).
% 8.62/6.43 tff(31728,plain,
% 8.62/6.43 (~xuntil6(s314)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22083, 31727])).
% 8.62/6.43 tff(31729,plain,
% 8.62/6.43 (~always3(s314)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19198, 31724])).
% 8.62/6.43 tff(31730,plain,
% 8.62/6.43 (~node4(s314)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22070, 16, 31729])).
% 8.62/6.43 tff(31731,plain,
% 8.62/6.43 (xuntil6(s314) | (~until5(s314))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22077, 352, 31730])).
% 8.62/6.43 tff(31732,plain,
% 8.62/6.43 (~until5(s314)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31731, 31728])).
% 8.62/6.43 tff(31733,plain,
% 8.62/6.43 (~xuntil6(s313)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22066, 31732])).
% 8.62/6.43 tff(31734,plain,
% 8.62/6.43 (~always3(s313)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19210, 31729])).
% 8.62/6.43 tff(31735,plain,
% 8.62/6.43 (~node4(s313)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22053, 16, 31734])).
% 8.62/6.43 tff(31736,plain,
% 8.62/6.43 (xuntil6(s313) | (~until5(s313))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22060, 352, 31735])).
% 8.62/6.43 tff(31737,plain,
% 8.62/6.43 (~until5(s313)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31736, 31733])).
% 8.62/6.43 tff(31738,plain,
% 8.62/6.43 (~xuntil6(s312)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22049, 31737])).
% 8.62/6.43 tff(31739,plain,
% 8.62/6.43 (~always3(s312)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19222, 31734])).
% 8.62/6.43 tff(31740,plain,
% 8.62/6.43 (~node4(s312)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22036, 16, 31739])).
% 8.62/6.43 tff(31741,plain,
% 8.62/6.43 (xuntil6(s312) | (~until5(s312))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22043, 352, 31740])).
% 8.62/6.43 tff(31742,plain,
% 8.62/6.43 (~until5(s312)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31741, 31738])).
% 8.62/6.43 tff(31743,plain,
% 8.62/6.43 (~xuntil6(s311)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22032, 31742])).
% 8.62/6.43 tff(31744,plain,
% 8.62/6.43 (~always3(s311)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19234, 31739])).
% 8.62/6.43 tff(31745,plain,
% 8.62/6.43 (~node4(s311)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22019, 16, 31744])).
% 8.62/6.43 tff(31746,plain,
% 8.62/6.43 (xuntil6(s311) | (~until5(s311))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22026, 352, 31745])).
% 8.62/6.43 tff(31747,plain,
% 8.62/6.43 (~until5(s311)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31746, 31743])).
% 8.62/6.43 tff(31748,plain,
% 8.62/6.43 (~xuntil6(s310)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22015, 31747])).
% 8.62/6.43 tff(31749,plain,
% 8.62/6.43 (~always3(s310)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19246, 31744])).
% 8.62/6.43 tff(31750,plain,
% 8.62/6.43 (~node4(s310)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22002, 16, 31749])).
% 8.62/6.43 tff(31751,plain,
% 8.62/6.43 (xuntil6(s310) | (~until5(s310))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[22009, 352, 31750])).
% 8.62/6.43 tff(31752,plain,
% 8.62/6.43 (~until5(s310)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31751, 31748])).
% 8.62/6.43 tff(31753,plain,
% 8.62/6.43 (~xuntil6(s309)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21998, 31752])).
% 8.62/6.43 tff(31754,plain,
% 8.62/6.43 (~always3(s309)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19258, 31749])).
% 8.62/6.43 tff(31755,plain,
% 8.62/6.43 (~node4(s309)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21985, 16, 31754])).
% 8.62/6.43 tff(31756,plain,
% 8.62/6.43 (xuntil6(s309) | (~until5(s309))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21992, 352, 31755])).
% 8.62/6.43 tff(31757,plain,
% 8.62/6.43 (~until5(s309)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31756, 31753])).
% 8.62/6.43 tff(31758,plain,
% 8.62/6.43 (~xuntil6(s308)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21981, 31757])).
% 8.62/6.43 tff(31759,plain,
% 8.62/6.43 (~always3(s308)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19270, 31754])).
% 8.62/6.43 tff(31760,plain,
% 8.62/6.43 (~node4(s308)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21968, 16, 31759])).
% 8.62/6.43 tff(31761,plain,
% 8.62/6.43 (xuntil6(s308) | (~until5(s308))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21975, 352, 31760])).
% 8.62/6.43 tff(31762,plain,
% 8.62/6.43 (~until5(s308)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31761, 31758])).
% 8.62/6.43 tff(31763,plain,
% 8.62/6.43 (~xuntil6(s307)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21964, 31762])).
% 8.62/6.43 tff(31764,plain,
% 8.62/6.43 (~always3(s307)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19282, 31759])).
% 8.62/6.43 tff(31765,plain,
% 8.62/6.43 (~node4(s307)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21951, 16, 31764])).
% 8.62/6.43 tff(31766,plain,
% 8.62/6.43 (xuntil6(s307) | (~until5(s307))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21958, 352, 31765])).
% 8.62/6.43 tff(31767,plain,
% 8.62/6.43 (~until5(s307)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31766, 31763])).
% 8.62/6.43 tff(31768,plain,
% 8.62/6.43 (~xuntil6(s306)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21947, 31767])).
% 8.62/6.43 tff(31769,plain,
% 8.62/6.43 (~always3(s306)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19294, 31764])).
% 8.62/6.43 tff(31770,plain,
% 8.62/6.43 (~node4(s306)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21934, 16, 31769])).
% 8.62/6.43 tff(31771,plain,
% 8.62/6.43 (xuntil6(s306) | (~until5(s306))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21941, 352, 31770])).
% 8.62/6.43 tff(31772,plain,
% 8.62/6.43 (~until5(s306)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31771, 31768])).
% 8.62/6.43 tff(31773,plain,
% 8.62/6.43 (~xuntil6(s305)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21930, 31772])).
% 8.62/6.43 tff(31774,plain,
% 8.62/6.43 (~always3(s305)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19306, 31769])).
% 8.62/6.43 tff(31775,plain,
% 8.62/6.43 (~node4(s305)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21917, 16, 31774])).
% 8.62/6.43 tff(31776,plain,
% 8.62/6.43 (xuntil6(s305) | (~until5(s305))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21924, 352, 31775])).
% 8.62/6.43 tff(31777,plain,
% 8.62/6.43 (~until5(s305)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31776, 31773])).
% 8.62/6.43 tff(31778,plain,
% 8.62/6.43 (~xuntil6(s304)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21913, 31777])).
% 8.62/6.43 tff(31779,plain,
% 8.62/6.43 (~always3(s304)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19318, 31774])).
% 8.62/6.43 tff(31780,plain,
% 8.62/6.43 (~node4(s304)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21900, 16, 31779])).
% 8.62/6.43 tff(31781,plain,
% 8.62/6.43 (xuntil6(s304) | (~until5(s304))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21907, 352, 31780])).
% 8.62/6.43 tff(31782,plain,
% 8.62/6.43 (~until5(s304)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31781, 31778])).
% 8.62/6.43 tff(31783,plain,
% 8.62/6.43 (~xuntil6(s303)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21896, 31782])).
% 8.62/6.43 tff(31784,plain,
% 8.62/6.43 (~always3(s303)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19330, 31779])).
% 8.62/6.43 tff(31785,plain,
% 8.62/6.43 (~node4(s303)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21883, 16, 31784])).
% 8.62/6.43 tff(31786,plain,
% 8.62/6.43 (xuntil6(s303) | (~until5(s303))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21890, 352, 31785])).
% 8.62/6.43 tff(31787,plain,
% 8.62/6.43 (~until5(s303)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31786, 31783])).
% 8.62/6.43 tff(31788,plain,
% 8.62/6.43 (~xuntil6(s302)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21879, 31787])).
% 8.62/6.43 tff(31789,plain,
% 8.62/6.43 (~always3(s302)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19342, 31784])).
% 8.62/6.43 tff(31790,plain,
% 8.62/6.43 (~node4(s302)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21866, 16, 31789])).
% 8.62/6.43 tff(31791,plain,
% 8.62/6.43 (xuntil6(s302) | (~until5(s302))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21873, 352, 31790])).
% 8.62/6.43 tff(31792,plain,
% 8.62/6.43 (~until5(s302)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31791, 31788])).
% 8.62/6.43 tff(31793,plain,
% 8.62/6.43 (~xuntil6(s301)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21862, 31792])).
% 8.62/6.43 tff(31794,plain,
% 8.62/6.43 (~always3(s301)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19354, 31789])).
% 8.62/6.43 tff(31795,plain,
% 8.62/6.43 (~node4(s301)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21849, 16, 31794])).
% 8.62/6.43 tff(31796,plain,
% 8.62/6.43 (xuntil6(s301) | (~until5(s301))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21856, 352, 31795])).
% 8.62/6.43 tff(31797,plain,
% 8.62/6.43 (~until5(s301)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31796, 31793])).
% 8.62/6.43 tff(31798,plain,
% 8.62/6.43 (~xuntil6(s300)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21845, 31797])).
% 8.62/6.43 tff(31799,plain,
% 8.62/6.43 (~always3(s300)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19366, 31794])).
% 8.62/6.43 tff(31800,plain,
% 8.62/6.43 (~node4(s300)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21832, 16, 31799])).
% 8.62/6.43 tff(31801,plain,
% 8.62/6.43 (xuntil6(s300) | (~until5(s300))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21839, 352, 31800])).
% 8.62/6.43 tff(31802,plain,
% 8.62/6.43 (~until5(s300)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31801, 31798])).
% 8.62/6.43 tff(31803,plain,
% 8.62/6.43 (~xuntil6(s299)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21828, 31802])).
% 8.62/6.43 tff(31804,plain,
% 8.62/6.43 (~always3(s299)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19378, 31799])).
% 8.62/6.43 tff(31805,plain,
% 8.62/6.43 (~node4(s299)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21815, 16, 31804])).
% 8.62/6.43 tff(31806,plain,
% 8.62/6.43 (xuntil6(s299) | (~until5(s299))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21822, 352, 31805])).
% 8.62/6.43 tff(31807,plain,
% 8.62/6.43 (~until5(s299)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31806, 31803])).
% 8.62/6.43 tff(31808,plain,
% 8.62/6.43 (~xuntil6(s298)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21811, 31807])).
% 8.62/6.43 tff(31809,plain,
% 8.62/6.43 (~always3(s298)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19390, 31804])).
% 8.62/6.43 tff(31810,plain,
% 8.62/6.43 (~node4(s298)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21798, 16, 31809])).
% 8.62/6.43 tff(31811,plain,
% 8.62/6.43 (xuntil6(s298) | (~until5(s298))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21805, 352, 31810])).
% 8.62/6.43 tff(31812,plain,
% 8.62/6.43 (~until5(s298)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31811, 31808])).
% 8.62/6.43 tff(31813,plain,
% 8.62/6.43 (~xuntil6(s297)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21794, 31812])).
% 8.62/6.43 tff(31814,plain,
% 8.62/6.43 (~always3(s297)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19402, 31809])).
% 8.62/6.43 tff(31815,plain,
% 8.62/6.43 (~node4(s297)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21781, 16, 31814])).
% 8.62/6.43 tff(31816,plain,
% 8.62/6.43 (xuntil6(s297) | (~until5(s297))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21788, 352, 31815])).
% 8.62/6.43 tff(31817,plain,
% 8.62/6.43 (~until5(s297)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31816, 31813])).
% 8.62/6.43 tff(31818,plain,
% 8.62/6.43 (~xuntil6(s296)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21777, 31817])).
% 8.62/6.43 tff(31819,plain,
% 8.62/6.43 (~always3(s296)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19414, 31814])).
% 8.62/6.43 tff(31820,plain,
% 8.62/6.43 (~node4(s296)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21764, 16, 31819])).
% 8.62/6.43 tff(31821,plain,
% 8.62/6.43 (xuntil6(s296) | (~until5(s296))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21771, 352, 31820])).
% 8.62/6.43 tff(31822,plain,
% 8.62/6.43 (~until5(s296)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31821, 31818])).
% 8.62/6.43 tff(31823,plain,
% 8.62/6.43 (~xuntil6(s295)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21760, 31822])).
% 8.62/6.43 tff(31824,plain,
% 8.62/6.43 (~always3(s295)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19426, 31819])).
% 8.62/6.43 tff(31825,plain,
% 8.62/6.43 (~node4(s295)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21747, 16, 31824])).
% 8.62/6.43 tff(31826,plain,
% 8.62/6.43 (xuntil6(s295) | (~until5(s295))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21754, 352, 31825])).
% 8.62/6.43 tff(31827,plain,
% 8.62/6.43 (~until5(s295)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31826, 31823])).
% 8.62/6.43 tff(31828,plain,
% 8.62/6.43 (~xuntil6(s294)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21743, 31827])).
% 8.62/6.43 tff(31829,plain,
% 8.62/6.43 (~always3(s294)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19438, 31824])).
% 8.62/6.43 tff(31830,plain,
% 8.62/6.43 (~node4(s294)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21730, 16, 31829])).
% 8.62/6.43 tff(31831,plain,
% 8.62/6.43 (xuntil6(s294) | (~until5(s294))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21737, 352, 31830])).
% 8.62/6.43 tff(31832,plain,
% 8.62/6.43 (~until5(s294)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31831, 31828])).
% 8.62/6.43 tff(31833,plain,
% 8.62/6.43 (~xuntil6(s293)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21726, 31832])).
% 8.62/6.43 tff(31834,plain,
% 8.62/6.43 (~always3(s293)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19450, 31829])).
% 8.62/6.43 tff(31835,plain,
% 8.62/6.43 (~node4(s293)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21713, 16, 31834])).
% 8.62/6.43 tff(31836,plain,
% 8.62/6.43 (xuntil6(s293) | (~until5(s293))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21720, 352, 31835])).
% 8.62/6.43 tff(31837,plain,
% 8.62/6.43 (~until5(s293)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31836, 31833])).
% 8.62/6.43 tff(31838,plain,
% 8.62/6.43 (~xuntil6(s292)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21709, 31837])).
% 8.62/6.43 tff(31839,plain,
% 8.62/6.43 (~always3(s292)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19462, 31834])).
% 8.62/6.43 tff(31840,plain,
% 8.62/6.43 (~node4(s292)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21696, 16, 31839])).
% 8.62/6.43 tff(31841,plain,
% 8.62/6.43 (xuntil6(s292) | (~until5(s292))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21703, 352, 31840])).
% 8.62/6.43 tff(31842,plain,
% 8.62/6.43 (~until5(s292)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31841, 31838])).
% 8.62/6.43 tff(31843,plain,
% 8.62/6.43 (~xuntil6(s291)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21692, 31842])).
% 8.62/6.43 tff(31844,plain,
% 8.62/6.43 (~always3(s291)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19474, 31839])).
% 8.62/6.43 tff(31845,plain,
% 8.62/6.43 (~node4(s291)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21679, 16, 31844])).
% 8.62/6.43 tff(31846,plain,
% 8.62/6.43 (xuntil6(s291) | (~until5(s291))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21686, 352, 31845])).
% 8.62/6.43 tff(31847,plain,
% 8.62/6.43 (~until5(s291)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31846, 31843])).
% 8.62/6.43 tff(31848,plain,
% 8.62/6.43 (~xuntil6(s290)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21675, 31847])).
% 8.62/6.43 tff(31849,plain,
% 8.62/6.43 (~always3(s290)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19486, 31844])).
% 8.62/6.43 tff(31850,plain,
% 8.62/6.43 (~node4(s290)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21662, 16, 31849])).
% 8.62/6.43 tff(31851,plain,
% 8.62/6.43 (xuntil6(s290) | (~until5(s290))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21669, 352, 31850])).
% 8.62/6.43 tff(31852,plain,
% 8.62/6.43 (~until5(s290)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31851, 31848])).
% 8.62/6.43 tff(31853,plain,
% 8.62/6.43 (~xuntil6(s289)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21658, 31852])).
% 8.62/6.43 tff(31854,plain,
% 8.62/6.43 (~always3(s289)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19498, 31849])).
% 8.62/6.43 tff(31855,plain,
% 8.62/6.43 (~node4(s289)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21645, 16, 31854])).
% 8.62/6.43 tff(31856,plain,
% 8.62/6.43 (xuntil6(s289) | (~until5(s289))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21652, 352, 31855])).
% 8.62/6.43 tff(31857,plain,
% 8.62/6.43 (~until5(s289)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31856, 31853])).
% 8.62/6.43 tff(31858,plain,
% 8.62/6.43 (~xuntil6(s288)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21641, 31857])).
% 8.62/6.43 tff(31859,plain,
% 8.62/6.43 (~always3(s288)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19510, 31854])).
% 8.62/6.43 tff(31860,plain,
% 8.62/6.43 (~node4(s288)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21628, 16, 31859])).
% 8.62/6.43 tff(31861,plain,
% 8.62/6.43 (xuntil6(s288) | (~until5(s288))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21635, 352, 31860])).
% 8.62/6.43 tff(31862,plain,
% 8.62/6.43 (~until5(s288)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31861, 31858])).
% 8.62/6.43 tff(31863,plain,
% 8.62/6.43 (~xuntil6(s287)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21624, 31862])).
% 8.62/6.43 tff(31864,plain,
% 8.62/6.43 (~always3(s287)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19522, 31859])).
% 8.62/6.43 tff(31865,plain,
% 8.62/6.43 (~node4(s287)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21611, 16, 31864])).
% 8.62/6.43 tff(31866,plain,
% 8.62/6.43 (xuntil6(s287) | (~until5(s287))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21618, 352, 31865])).
% 8.62/6.43 tff(31867,plain,
% 8.62/6.43 (~until5(s287)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31866, 31863])).
% 8.62/6.43 tff(31868,plain,
% 8.62/6.43 (~xuntil6(s286)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21607, 31867])).
% 8.62/6.43 tff(31869,plain,
% 8.62/6.43 (~always3(s286)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19534, 31864])).
% 8.62/6.43 tff(31870,plain,
% 8.62/6.43 (~node4(s286)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21594, 16, 31869])).
% 8.62/6.43 tff(31871,plain,
% 8.62/6.43 (xuntil6(s286) | (~until5(s286))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21601, 352, 31870])).
% 8.62/6.43 tff(31872,plain,
% 8.62/6.43 (~until5(s286)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31871, 31868])).
% 8.62/6.43 tff(31873,plain,
% 8.62/6.43 (~xuntil6(s285)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21590, 31872])).
% 8.62/6.43 tff(31874,plain,
% 8.62/6.43 (~always3(s285)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19546, 31869])).
% 8.62/6.43 tff(31875,plain,
% 8.62/6.43 (~node4(s285)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21577, 16, 31874])).
% 8.62/6.43 tff(31876,plain,
% 8.62/6.43 (xuntil6(s285) | (~until5(s285))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21584, 352, 31875])).
% 8.62/6.43 tff(31877,plain,
% 8.62/6.43 (~until5(s285)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31876, 31873])).
% 8.62/6.43 tff(31878,plain,
% 8.62/6.43 (~xuntil6(s284)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21573, 31877])).
% 8.62/6.43 tff(31879,plain,
% 8.62/6.43 (~always3(s284)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19558, 31874])).
% 8.62/6.43 tff(31880,plain,
% 8.62/6.43 (~node4(s284)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21560, 16, 31879])).
% 8.62/6.43 tff(31881,plain,
% 8.62/6.43 (xuntil6(s284) | (~until5(s284))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21567, 352, 31880])).
% 8.62/6.43 tff(31882,plain,
% 8.62/6.43 (~until5(s284)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31881, 31878])).
% 8.62/6.43 tff(31883,plain,
% 8.62/6.43 (~xuntil6(s283)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21556, 31882])).
% 8.62/6.43 tff(31884,plain,
% 8.62/6.43 (~always3(s283)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19570, 31879])).
% 8.62/6.43 tff(31885,plain,
% 8.62/6.43 (~node4(s283)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21543, 16, 31884])).
% 8.62/6.43 tff(31886,plain,
% 8.62/6.43 (xuntil6(s283) | (~until5(s283))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21550, 352, 31885])).
% 8.62/6.43 tff(31887,plain,
% 8.62/6.43 (~until5(s283)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31886, 31883])).
% 8.62/6.43 tff(31888,plain,
% 8.62/6.43 (~xuntil6(s282)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21539, 31887])).
% 8.62/6.43 tff(31889,plain,
% 8.62/6.43 (~always3(s282)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19582, 31884])).
% 8.62/6.43 tff(31890,plain,
% 8.62/6.43 (~node4(s282)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21526, 16, 31889])).
% 8.62/6.43 tff(31891,plain,
% 8.62/6.43 (xuntil6(s282) | (~until5(s282))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21533, 352, 31890])).
% 8.62/6.43 tff(31892,plain,
% 8.62/6.43 (~until5(s282)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31891, 31888])).
% 8.62/6.43 tff(31893,plain,
% 8.62/6.43 (~xuntil6(s281)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21522, 31892])).
% 8.62/6.43 tff(31894,plain,
% 8.62/6.43 (~always3(s281)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19594, 31889])).
% 8.62/6.43 tff(31895,plain,
% 8.62/6.43 (~node4(s281)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21509, 16, 31894])).
% 8.62/6.43 tff(31896,plain,
% 8.62/6.43 (xuntil6(s281) | (~until5(s281))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21516, 352, 31895])).
% 8.62/6.43 tff(31897,plain,
% 8.62/6.43 (~until5(s281)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31896, 31893])).
% 8.62/6.43 tff(31898,plain,
% 8.62/6.43 (~xuntil6(s280)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21505, 31897])).
% 8.62/6.43 tff(31899,plain,
% 8.62/6.43 (~always3(s280)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19606, 31894])).
% 8.62/6.43 tff(31900,plain,
% 8.62/6.43 (~node4(s280)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21492, 16, 31899])).
% 8.62/6.43 tff(31901,plain,
% 8.62/6.43 (xuntil6(s280) | (~until5(s280))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21499, 352, 31900])).
% 8.62/6.43 tff(31902,plain,
% 8.62/6.43 (~until5(s280)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31901, 31898])).
% 8.62/6.43 tff(31903,plain,
% 8.62/6.43 (~xuntil6(s279)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21488, 31902])).
% 8.62/6.43 tff(31904,plain,
% 8.62/6.43 (~always3(s279)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19618, 31899])).
% 8.62/6.43 tff(31905,plain,
% 8.62/6.43 (~node4(s279)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21475, 16, 31904])).
% 8.62/6.43 tff(31906,plain,
% 8.62/6.43 (xuntil6(s279) | (~until5(s279))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21482, 352, 31905])).
% 8.62/6.43 tff(31907,plain,
% 8.62/6.43 (~until5(s279)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31906, 31903])).
% 8.62/6.43 tff(31908,plain,
% 8.62/6.43 (~xuntil6(s278)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21471, 31907])).
% 8.62/6.43 tff(31909,plain,
% 8.62/6.43 (~always3(s278)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19630, 31904])).
% 8.62/6.43 tff(31910,plain,
% 8.62/6.43 (~node4(s278)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21458, 16, 31909])).
% 8.62/6.43 tff(31911,plain,
% 8.62/6.43 (xuntil6(s278) | (~until5(s278))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21465, 352, 31910])).
% 8.62/6.43 tff(31912,plain,
% 8.62/6.43 (~until5(s278)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31911, 31908])).
% 8.62/6.43 tff(31913,plain,
% 8.62/6.43 (~xuntil6(s277)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21454, 31912])).
% 8.62/6.43 tff(31914,plain,
% 8.62/6.43 (~always3(s277)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19642, 31909])).
% 8.62/6.43 tff(31915,plain,
% 8.62/6.43 (~node4(s277)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21441, 16, 31914])).
% 8.62/6.43 tff(31916,plain,
% 8.62/6.43 (xuntil6(s277) | (~until5(s277))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21448, 352, 31915])).
% 8.62/6.43 tff(31917,plain,
% 8.62/6.43 (~until5(s277)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31916, 31913])).
% 8.62/6.43 tff(31918,plain,
% 8.62/6.43 (~xuntil6(s276)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21437, 31917])).
% 8.62/6.43 tff(31919,plain,
% 8.62/6.43 (~always3(s276)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19654, 31914])).
% 8.62/6.43 tff(31920,plain,
% 8.62/6.43 (~node4(s276)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21424, 16, 31919])).
% 8.62/6.43 tff(31921,plain,
% 8.62/6.43 (xuntil6(s276) | (~until5(s276))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21431, 352, 31920])).
% 8.62/6.43 tff(31922,plain,
% 8.62/6.43 (~until5(s276)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31921, 31918])).
% 8.62/6.43 tff(31923,plain,
% 8.62/6.43 (~xuntil6(s275)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21420, 31922])).
% 8.62/6.43 tff(31924,plain,
% 8.62/6.43 (~always3(s275)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19666, 31919])).
% 8.62/6.43 tff(31925,plain,
% 8.62/6.43 (~node4(s275)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21407, 16, 31924])).
% 8.62/6.43 tff(31926,plain,
% 8.62/6.43 (xuntil6(s275) | (~until5(s275))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21414, 352, 31925])).
% 8.62/6.43 tff(31927,plain,
% 8.62/6.43 (~until5(s275)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31926, 31923])).
% 8.62/6.43 tff(31928,plain,
% 8.62/6.43 (~xuntil6(s274)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21403, 31927])).
% 8.62/6.43 tff(31929,plain,
% 8.62/6.43 (~always3(s274)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19678, 31924])).
% 8.62/6.43 tff(31930,plain,
% 8.62/6.43 (~node4(s274)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21390, 16, 31929])).
% 8.62/6.43 tff(31931,plain,
% 8.62/6.43 (xuntil6(s274) | (~until5(s274))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21397, 352, 31930])).
% 8.62/6.43 tff(31932,plain,
% 8.62/6.43 (~until5(s274)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31931, 31928])).
% 8.62/6.43 tff(31933,plain,
% 8.62/6.43 (~xuntil6(s273)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21386, 31932])).
% 8.62/6.43 tff(31934,plain,
% 8.62/6.43 (~always3(s273)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19690, 31929])).
% 8.62/6.43 tff(31935,plain,
% 8.62/6.43 (~node4(s273)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21373, 16, 31934])).
% 8.62/6.43 tff(31936,plain,
% 8.62/6.43 (xuntil6(s273) | (~until5(s273))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21380, 352, 31935])).
% 8.62/6.43 tff(31937,plain,
% 8.62/6.43 (~until5(s273)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[31936, 31933])).
% 8.62/6.43 tff(31938,plain,
% 8.62/6.43 (~xuntil6(s272)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21369, 31937])).
% 8.62/6.43 tff(31939,plain,
% 8.62/6.43 (~always3(s272)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[19702, 31934])).
% 8.62/6.43 tff(31940,plain,
% 8.62/6.43 (~node4(s272)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[21356, 16, 31939])).
% 8.62/6.43 tff(31941,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[31941, 31938])).
% 8.62/6.43 tff(31943,plain,
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% 8.62/6.43 tff(31944,plain,
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% 8.62/6.43 tff(31945,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[21339, 16, 31944])).
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[21346, 352, 31945])).
% 8.62/6.43 tff(31947,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[31946, 31943])).
% 8.62/6.43 tff(31948,plain,
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% 8.62/6.43 tff(31949,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[19726, 31944])).
% 8.62/6.43 tff(31950,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[21322, 16, 31949])).
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% 8.62/6.43 tff(31952,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[31951, 31948])).
% 8.62/6.43 tff(31953,plain,
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% 8.62/6.43 tff(31954,plain,
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% 8.62/6.43 tff(31957,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[31956, 31953])).
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% 8.62/6.43 tff(31959,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[21288, 16, 31959])).
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% 8.62/6.43 tff(31962,plain,
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% 8.62/6.43 tff(31963,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[18909, 31962])).
% 8.62/6.43 tff(31964,plain,
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% 8.62/6.43 tff(31965,plain,
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% 8.62/6.43 tff(31967,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[31966, 31963])).
% 8.62/6.43 tff(31968,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[18853, 31967])).
% 8.62/6.43 tff(31969,plain,
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% 8.62/6.43 tff(31970,plain,
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% 8.62/6.43 tff(31971,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[18146, 352, 31970])).
% 8.62/6.43 tff(31972,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[31971, 31968])).
% 8.62/6.43 tff(31973,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[18152, 31972])).
% 8.62/6.43 tff(31974,plain,
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% 8.62/6.43 tff(31975,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[17884, 16, 31974])).
% 8.62/6.43 tff(31976,plain,
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% 8.62/6.43 tff(31977,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[31976, 31973])).
% 8.62/6.43 tff(31978,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[17857, 31977])).
% 8.62/6.43 tff(31979,plain,
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% 8.62/6.43 tff(31980,plain,
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% 8.62/6.43 tff(31981,plain,
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% 8.62/6.43 tff(31982,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[31981, 31978])).
% 8.62/6.43 tff(31983,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[17801, 31982])).
% 8.62/6.43 tff(31984,plain,
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% 8.62/6.43 tff(31985,plain,
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% 8.62/6.43 tff(31987,plain,
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% 8.62/6.43 tff(31988,plain,
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% 8.62/6.43 tff(31989,plain,
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% 8.62/6.43 tff(31990,plain,
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% 8.62/6.43 tff(31992,plain,
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% 8.62/6.43 tff(31993,plain,
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% 8.62/6.43 tff(31994,plain,
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% 8.62/6.43 tff(31996,plain,
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% 8.62/6.43 tff(31997,plain,
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% 8.62/6.43 tff(31998,plain,
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% 8.62/6.43 tff(31999,plain,
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% 8.62/6.43 tff(32000,plain,
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% 8.62/6.43 tff(32001,plain,
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% 8.62/6.43 tff(32003,plain,
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% 8.62/6.43 tff(32005,plain,
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% 8.62/6.43 tff(32013,plain,
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% 8.62/6.43 tff(32014,plain,
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% 8.62/6.43 tff(32018,plain,
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% 8.62/6.43 tff(32019,plain,
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% 8.62/6.43 tff(32020,plain,
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% 8.62/6.43 tff(32021,plain,
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% 8.62/6.43 tff(32022,plain,
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% 8.62/6.43 tff(32023,plain,
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% 8.62/6.43 tff(32024,plain,
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% 8.62/6.43 tff(32025,plain,
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% 8.62/6.43 tff(32027,plain,
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% 8.62/6.43 tff(32028,plain,
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% 8.62/6.43 tff(32029,plain,
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% 8.62/6.43 tff(32030,plain,
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% 8.62/6.43 tff(32031,plain,
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% 8.62/6.43 tff(32032,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[32031, 32028])).
% 8.62/6.43 tff(32033,plain,
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% 8.62/6.43 tff(32034,plain,
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% 8.62/6.43 tff(32035,plain,
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% 8.62/6.43 tff(32036,plain,
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% 8.62/6.43 tff(32037,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[32036, 32033])).
% 8.62/6.43 tff(32038,plain,
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% 8.62/6.43 tff(32039,plain,
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% 8.62/6.43 tff(32040,plain,
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% 8.62/6.43 tff(32041,plain,
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% 8.62/6.43 tff(32042,plain,
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% 8.62/6.43 tff(32043,plain,
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% 8.62/6.43 tff(32044,plain,
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% 8.62/6.43 tff(32045,plain,
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% 8.62/6.43 tff(32046,plain,
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% 8.62/6.43 tff(32047,plain,
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% 8.62/6.43 tff(32048,plain,
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% 8.62/6.43 tff(32049,plain,
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% 8.62/6.43 tff(32050,plain,
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% 8.62/6.43 tff(32051,plain,
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% 8.62/6.43 tff(32052,plain,
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% 8.62/6.43 tff(32053,plain,
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% 8.62/6.43 tff(32054,plain,
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% 8.62/6.43 tff(32055,plain,
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% 8.62/6.43 tff(32056,plain,
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% 8.62/6.43 tff(32057,plain,
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% 8.62/6.43 inference(unit_resolution,[status(thm)],[32056, 32053])).
% 8.62/6.43 tff(32058,plain,
% 8.62/6.43 (~xuntil6(s248)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16961, 32057])).
% 8.62/6.43 tff(32059,plain,
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% 8.62/6.43 tff(32060,plain,
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% 8.62/6.43 tff(32061,plain,
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% 8.62/6.43 tff(32062,plain,
% 8.62/6.43 (~until5(s248)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32061, 32058])).
% 8.62/6.43 tff(32063,plain,
% 8.62/6.43 (~xuntil6(s247)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16808, 32062])).
% 8.62/6.43 tff(32064,plain,
% 8.62/6.43 (~always3(s247)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16773, 32059])).
% 8.62/6.43 tff(32065,plain,
% 8.62/6.43 (~node4(s247)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16761, 16, 32064])).
% 8.62/6.43 tff(32066,plain,
% 8.62/6.43 (xuntil6(s247) | (~until5(s247))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16802, 352, 32065])).
% 8.62/6.43 tff(32067,plain,
% 8.62/6.43 (~until5(s247)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32066, 32063])).
% 8.62/6.43 tff(32068,plain,
% 8.62/6.43 (~xuntil6(s246)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16752, 32067])).
% 8.62/6.43 tff(32069,plain,
% 8.62/6.43 (~always3(s246)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16717, 32064])).
% 8.62/6.43 tff(32070,plain,
% 8.62/6.43 (~node4(s246)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16705, 16, 32069])).
% 8.62/6.43 tff(32071,plain,
% 8.62/6.43 (xuntil6(s246) | (~until5(s246))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16746, 352, 32070])).
% 8.62/6.43 tff(32072,plain,
% 8.62/6.43 (~until5(s246)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32071, 32068])).
% 8.62/6.43 tff(32073,plain,
% 8.62/6.43 (~xuntil6(s245)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16696, 32072])).
% 8.62/6.43 tff(32074,plain,
% 8.62/6.43 (~always3(s245)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16661, 32069])).
% 8.62/6.43 tff(32075,plain,
% 8.62/6.43 (~node4(s245)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16649, 16, 32074])).
% 8.62/6.43 tff(32076,plain,
% 8.62/6.43 (xuntil6(s245) | (~until5(s245))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16690, 352, 32075])).
% 8.62/6.43 tff(32077,plain,
% 8.62/6.43 (~until5(s245)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32076, 32073])).
% 8.62/6.43 tff(32078,plain,
% 8.62/6.43 (~xuntil6(s244)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16640, 32077])).
% 8.62/6.43 tff(32079,plain,
% 8.62/6.43 (~always3(s244)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16605, 32074])).
% 8.62/6.43 tff(32080,plain,
% 8.62/6.43 (~node4(s244)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16593, 16, 32079])).
% 8.62/6.43 tff(32081,plain,
% 8.62/6.43 (xuntil6(s244) | (~until5(s244))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16634, 352, 32080])).
% 8.62/6.43 tff(32082,plain,
% 8.62/6.43 (~until5(s244)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32081, 32078])).
% 8.62/6.43 tff(32083,plain,
% 8.62/6.43 (~xuntil6(s243)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16584, 32082])).
% 8.62/6.43 tff(32084,plain,
% 8.62/6.43 (~always3(s243)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16549, 32079])).
% 8.62/6.43 tff(32085,plain,
% 8.62/6.43 (~node4(s243)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16537, 16, 32084])).
% 8.62/6.43 tff(32086,plain,
% 8.62/6.43 (xuntil6(s243) | (~until5(s243))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16578, 352, 32085])).
% 8.62/6.43 tff(32087,plain,
% 8.62/6.43 (~until5(s243)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32086, 32083])).
% 8.62/6.43 tff(32088,plain,
% 8.62/6.43 (~xuntil6(s242)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16528, 32087])).
% 8.62/6.43 tff(32089,plain,
% 8.62/6.43 (~always3(s242)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16493, 32084])).
% 8.62/6.43 tff(32090,plain,
% 8.62/6.43 (~node4(s242)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16481, 16, 32089])).
% 8.62/6.43 tff(32091,plain,
% 8.62/6.43 (xuntil6(s242) | (~until5(s242))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16522, 352, 32090])).
% 8.62/6.43 tff(32092,plain,
% 8.62/6.43 (~until5(s242)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32091, 32088])).
% 8.62/6.43 tff(32093,plain,
% 8.62/6.43 (~xuntil6(s241)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16472, 32092])).
% 8.62/6.43 tff(32094,plain,
% 8.62/6.43 (~always3(s241)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16437, 32089])).
% 8.62/6.43 tff(32095,plain,
% 8.62/6.43 (~node4(s241)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16425, 16, 32094])).
% 8.62/6.43 tff(32096,plain,
% 8.62/6.43 (xuntil6(s241) | (~until5(s241))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16466, 352, 32095])).
% 8.62/6.43 tff(32097,plain,
% 8.62/6.43 (~until5(s241)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32096, 32093])).
% 8.62/6.43 tff(32098,plain,
% 8.62/6.43 (~xuntil6(s240)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16416, 32097])).
% 8.62/6.43 tff(32099,plain,
% 8.62/6.43 (~always3(s240)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16381, 32094])).
% 8.62/6.43 tff(32100,plain,
% 8.62/6.43 (~node4(s240)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16369, 16, 32099])).
% 8.62/6.43 tff(32101,plain,
% 8.62/6.43 (xuntil6(s240) | (~until5(s240))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16410, 352, 32100])).
% 8.62/6.43 tff(32102,plain,
% 8.62/6.43 (~until5(s240)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32101, 32098])).
% 8.62/6.43 tff(32103,plain,
% 8.62/6.43 (~xuntil6(s239)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16360, 32102])).
% 8.62/6.43 tff(32104,plain,
% 8.62/6.43 (~always3(s239)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16325, 32099])).
% 8.62/6.43 tff(32105,plain,
% 8.62/6.43 (~node4(s239)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16313, 16, 32104])).
% 8.62/6.43 tff(32106,plain,
% 8.62/6.43 (xuntil6(s239) | (~until5(s239))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16354, 352, 32105])).
% 8.62/6.43 tff(32107,plain,
% 8.62/6.43 (~until5(s239)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32106, 32103])).
% 8.62/6.43 tff(32108,plain,
% 8.62/6.43 (~xuntil6(s238)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16304, 32107])).
% 8.62/6.43 tff(32109,plain,
% 8.62/6.43 (~always3(s238)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16269, 32104])).
% 8.62/6.43 tff(32110,plain,
% 8.62/6.43 (~node4(s238)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16197, 16, 32109])).
% 8.62/6.43 tff(32111,plain,
% 8.62/6.43 (xuntil6(s238) | (~until5(s238))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16204, 352, 32110])).
% 8.62/6.43 tff(32112,plain,
% 8.62/6.43 (~until5(s238)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32111, 32108])).
% 8.62/6.43 tff(32113,plain,
% 8.62/6.43 (~xuntil6(s237)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16185, 32112])).
% 8.62/6.43 tff(32114,plain,
% 8.62/6.43 (~always3(s237)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16150, 32109])).
% 8.62/6.43 tff(32115,plain,
% 8.62/6.43 (~node4(s237)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16138, 16, 32114])).
% 8.62/6.43 tff(32116,plain,
% 8.62/6.43 (xuntil6(s237) | (~until5(s237))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16179, 352, 32115])).
% 8.62/6.43 tff(32117,plain,
% 8.62/6.43 (~until5(s237)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32116, 32113])).
% 8.62/6.43 tff(32118,plain,
% 8.62/6.43 (~xuntil6(s236)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16129, 32117])).
% 8.62/6.43 tff(32119,plain,
% 8.62/6.43 (~always3(s236)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16094, 32114])).
% 8.62/6.43 tff(32120,plain,
% 8.62/6.43 (~node4(s236)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16082, 16, 32119])).
% 8.62/6.43 tff(32121,plain,
% 8.62/6.43 (xuntil6(s236) | (~until5(s236))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16123, 352, 32120])).
% 8.62/6.43 tff(32122,plain,
% 8.62/6.43 (~until5(s236)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32121, 32118])).
% 8.62/6.43 tff(32123,plain,
% 8.62/6.43 (~xuntil6(s235)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16073, 32122])).
% 8.62/6.43 tff(32124,plain,
% 8.62/6.43 (~always3(s235)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16038, 32119])).
% 8.62/6.43 tff(32125,plain,
% 8.62/6.43 (~node4(s235)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16026, 16, 32124])).
% 8.62/6.43 tff(32126,plain,
% 8.62/6.43 (xuntil6(s235) | (~until5(s235))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16067, 352, 32125])).
% 8.62/6.43 tff(32127,plain,
% 8.62/6.43 (~until5(s235)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32126, 32123])).
% 8.62/6.43 tff(32128,plain,
% 8.62/6.43 (~xuntil6(s234)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16017, 32127])).
% 8.62/6.43 tff(32129,plain,
% 8.62/6.43 (~always3(s234)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15982, 32124])).
% 8.62/6.43 tff(32130,plain,
% 8.62/6.43 (~node4(s234)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15970, 16, 32129])).
% 8.62/6.43 tff(32131,plain,
% 8.62/6.43 (xuntil6(s234) | (~until5(s234))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[16011, 352, 32130])).
% 8.62/6.43 tff(32132,plain,
% 8.62/6.43 (~until5(s234)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32131, 32128])).
% 8.62/6.43 tff(32133,plain,
% 8.62/6.43 (~xuntil6(s233)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15961, 32132])).
% 8.62/6.43 tff(32134,plain,
% 8.62/6.43 (~always3(s233)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15926, 32129])).
% 8.62/6.43 tff(32135,plain,
% 8.62/6.43 (~node4(s233)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15914, 16, 32134])).
% 8.62/6.43 tff(32136,plain,
% 8.62/6.43 (xuntil6(s233) | (~until5(s233))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15955, 352, 32135])).
% 8.62/6.43 tff(32137,plain,
% 8.62/6.43 (~until5(s233)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32136, 32133])).
% 8.62/6.43 tff(32138,plain,
% 8.62/6.43 (~xuntil6(s232)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15905, 32137])).
% 8.62/6.43 tff(32139,plain,
% 8.62/6.43 (~always3(s232)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15759, 32134])).
% 8.62/6.43 tff(32140,plain,
% 8.62/6.43 (~node4(s232)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15582, 16, 32139])).
% 8.62/6.43 tff(32141,plain,
% 8.62/6.43 (xuntil6(s232) | (~until5(s232))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15589, 352, 32140])).
% 8.62/6.43 tff(32142,plain,
% 8.62/6.43 (~until5(s232)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32141, 32138])).
% 8.62/6.43 tff(32143,plain,
% 8.62/6.43 (~xuntil6(s231)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15595, 32142])).
% 8.62/6.43 tff(32144,plain,
% 8.62/6.43 (~always3(s231)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15550, 32139])).
% 8.62/6.43 tff(32145,plain,
% 8.62/6.43 (~node4(s231)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15604, 16, 32144])).
% 8.62/6.43 tff(32146,plain,
% 8.62/6.43 (xuntil6(s231) | (~until5(s231))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15640, 352, 32145])).
% 8.62/6.43 tff(32147,plain,
% 8.62/6.43 (~until5(s231)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32146, 32143])).
% 8.62/6.43 tff(32148,plain,
% 8.62/6.43 (~xuntil6(s230)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15646, 32147])).
% 8.62/6.43 tff(32149,plain,
% 8.62/6.43 (~always3(s230)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15562, 32144])).
% 8.62/6.43 tff(32150,plain,
% 8.62/6.43 (~node4(s230)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15655, 16, 32149])).
% 8.62/6.43 tff(32151,plain,
% 8.62/6.43 (xuntil6(s230) | (~until5(s230))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15685, 352, 32150])).
% 8.62/6.43 tff(32152,plain,
% 8.62/6.43 (~until5(s230)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32151, 32148])).
% 8.62/6.43 tff(32153,plain,
% 8.62/6.43 (~xuntil6(s229)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15691, 32152])).
% 8.62/6.43 tff(32154,plain,
% 8.62/6.43 (~always3(s229)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15574, 32149])).
% 8.62/6.43 tff(32155,plain,
% 8.62/6.43 (~node4(s229)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15578, 16, 32154])).
% 8.62/6.43 tff(32156,plain,
% 8.62/6.43 (xuntil6(s229) | (~until5(s229))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15698, 352, 32155])).
% 8.62/6.43 tff(32157,plain,
% 8.62/6.43 (~until5(s229)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32156, 32153])).
% 8.62/6.43 tff(32158,plain,
% 8.62/6.43 (~xuntil6(s228)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15745, 32157])).
% 8.62/6.43 tff(32159,plain,
% 8.62/6.43 (~always3(s228)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15710, 32154])).
% 8.62/6.43 tff(32160,plain,
% 8.62/6.43 (~node4(s228)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15714, 16, 32159])).
% 8.62/6.43 tff(32161,plain,
% 8.62/6.43 (xuntil6(s228) | (~until5(s228))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15740, 352, 32160])).
% 8.62/6.43 tff(32162,plain,
% 8.62/6.43 (~until5(s228)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32161, 32158])).
% 8.62/6.43 tff(32163,plain,
% 8.62/6.43 (~xuntil6(s227)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15733, 32162])).
% 8.62/6.43 tff(32164,plain,
% 8.62/6.43 (~always3(s227)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15522, 32159])).
% 8.62/6.43 tff(32165,plain,
% 8.62/6.43 (~node4(s227)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15719, 16, 32164])).
% 8.62/6.43 tff(32166,plain,
% 8.62/6.43 (xuntil6(s227) | (~until5(s227))),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15727, 352, 32165])).
% 8.62/6.43 tff(32167,plain,
% 8.62/6.43 (~until5(s227)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[32166, 32163])).
% 8.62/6.43 tff(32168,plain,
% 8.62/6.43 (~xuntil6(s226)),
% 8.62/6.43 inference(unit_resolution,[status(thm)],[15508, 32167])).
% 8.62/6.43 tff(32169,plain,
% 8.62/6.44 (~always3(s226)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15473, 32164])).
% 8.62/6.44 tff(32170,plain,
% 8.62/6.44 (~node4(s226)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15461, 16, 32169])).
% 8.62/6.44 tff(32171,plain,
% 8.62/6.44 (xuntil6(s226) | (~until5(s226))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15502, 352, 32170])).
% 8.62/6.44 tff(32172,plain,
% 8.62/6.44 (~until5(s226)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32171, 32168])).
% 8.62/6.44 tff(32173,plain,
% 8.62/6.44 (~xuntil6(s225)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15452, 32172])).
% 8.62/6.44 tff(32174,plain,
% 8.62/6.44 (~always3(s225)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15417, 32169])).
% 8.62/6.44 tff(32175,plain,
% 8.62/6.44 (~node4(s225)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15405, 16, 32174])).
% 8.62/6.44 tff(32176,plain,
% 8.62/6.44 (xuntil6(s225) | (~until5(s225))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15446, 352, 32175])).
% 8.62/6.44 tff(32177,plain,
% 8.62/6.44 (~until5(s225)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32176, 32173])).
% 8.62/6.44 tff(32178,plain,
% 8.62/6.44 (~xuntil6(s224)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15396, 32177])).
% 8.62/6.44 tff(32179,plain,
% 8.62/6.44 (~always3(s224)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15361, 32174])).
% 8.62/6.44 tff(32180,plain,
% 8.62/6.44 (~node4(s224)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15349, 16, 32179])).
% 8.62/6.44 tff(32181,plain,
% 8.62/6.44 (xuntil6(s224) | (~until5(s224))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15390, 352, 32180])).
% 8.62/6.44 tff(32182,plain,
% 8.62/6.44 (~until5(s224)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32181, 32178])).
% 8.62/6.44 tff(32183,plain,
% 8.62/6.44 (~xuntil6(s223)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[15340, 32182])).
% 8.62/6.44 tff(32184,plain,
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% 8.62/6.44 tff(32186,plain,
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% 8.62/6.44 tff(32187,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32186, 32183])).
% 8.62/6.44 tff(32188,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[15284, 32187])).
% 8.62/6.44 tff(32189,plain,
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% 8.62/6.44 tff(32191,plain,
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% 8.62/6.44 tff(32192,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32191, 32188])).
% 8.62/6.44 tff(32193,plain,
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% 8.62/6.44 tff(32197,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32196, 32193])).
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% 8.62/6.44 tff(32199,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[15057, 32202])).
% 8.62/6.44 tff(32204,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[15022, 32199])).
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[15010, 16, 32204])).
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% 8.62/6.44 (xuntil6(s219) | (~until5(s219))),
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% 8.62/6.44 tff(32207,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32206, 32203])).
% 8.62/6.44 tff(32208,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[15001, 32207])).
% 8.62/6.44 tff(32209,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[14935, 32204])).
% 8.62/6.44 tff(32210,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[14589, 16, 32209])).
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[14596, 352, 32210])).
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32211, 32208])).
% 8.62/6.44 tff(32213,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[14602, 32212])).
% 8.62/6.44 tff(32214,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[14548, 32209])).
% 8.62/6.44 tff(32215,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[14555, 16, 32214])).
% 8.62/6.44 tff(32216,plain,
% 8.62/6.44 (xuntil6(s217) | (~until5(s217))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[14609, 352, 32215])).
% 8.62/6.44 tff(32217,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32216, 32213])).
% 8.62/6.44 tff(32218,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[14534, 32217])).
% 8.62/6.44 tff(32219,plain,
% 8.62/6.44 (~always3(s216)),
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% 8.62/6.44 tff(32220,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[14440, 16, 32219])).
% 8.62/6.44 tff(32221,plain,
% 8.62/6.44 (xuntil6(s216) | (~until5(s216))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[14447, 352, 32220])).
% 8.62/6.44 tff(32222,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32221, 32218])).
% 8.62/6.44 tff(32223,plain,
% 8.62/6.44 (~xuntil6(s215)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[14434, 32222])).
% 8.62/6.44 tff(32224,plain,
% 8.62/6.44 (~always3(s215)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[14399, 32219])).
% 8.62/6.44 tff(32225,plain,
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% 8.62/6.44 tff(32226,plain,
% 8.62/6.44 (xuntil6(s215) | (~until5(s215))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[14428, 352, 32225])).
% 8.62/6.44 tff(32227,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32226, 32223])).
% 8.62/6.44 tff(32228,plain,
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% 8.62/6.44 tff(32229,plain,
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% 8.62/6.44 tff(32230,plain,
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% 8.62/6.44 tff(32231,plain,
% 8.62/6.44 (xuntil6(s214) | (~until5(s214))),
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% 8.62/6.44 tff(32232,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32231, 32228])).
% 8.62/6.44 tff(32233,plain,
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% 8.62/6.44 tff(32234,plain,
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% 8.62/6.44 tff(32235,plain,
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% 8.62/6.44 tff(32236,plain,
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% 8.62/6.44 tff(32237,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32236, 32233])).
% 8.62/6.44 tff(32238,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[14248, 32237])).
% 8.62/6.44 tff(32239,plain,
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% 8.62/6.44 tff(32240,plain,
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% 8.62/6.44 tff(32241,plain,
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% 8.62/6.44 tff(32242,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32241, 32238])).
% 8.62/6.44 tff(32243,plain,
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% 8.62/6.44 tff(32244,plain,
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% 8.62/6.44 tff(32247,plain,
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% 8.62/6.44 tff(32248,plain,
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% 8.62/6.44 tff(32249,plain,
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% 8.62/6.44 tff(32252,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[13927, 352, 32255])).
% 8.62/6.44 tff(32257,plain,
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% 8.62/6.44 tff(32258,plain,
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% 8.62/6.44 tff(32259,plain,
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% 8.62/6.44 tff(32260,plain,
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% 8.62/6.44 tff(32261,plain,
% 8.62/6.44 (xuntil6(s208) | (~until5(s208))),
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% 8.62/6.44 tff(32262,plain,
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% 8.62/6.44 tff(32263,plain,
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% 8.62/6.44 tff(32264,plain,
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% 8.62/6.44 tff(32265,plain,
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% 8.62/6.44 tff(32266,plain,
% 8.62/6.44 (xuntil6(s207) | (~until5(s207))),
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% 8.62/6.44 tff(32267,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32266, 32263])).
% 8.62/6.44 tff(32268,plain,
% 8.62/6.44 (~xuntil6(s206)),
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% 8.62/6.44 tff(32269,plain,
% 8.62/6.44 (~always3(s206)),
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% 8.62/6.44 tff(32270,plain,
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% 8.62/6.44 tff(32271,plain,
% 8.62/6.44 (xuntil6(s206) | (~until5(s206))),
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% 8.62/6.44 tff(32272,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32271, 32268])).
% 8.62/6.44 tff(32273,plain,
% 8.62/6.44 (~xuntil6(s205)),
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% 8.62/6.44 tff(32274,plain,
% 8.62/6.44 (~always3(s205)),
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% 8.62/6.44 tff(32275,plain,
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% 8.62/6.44 tff(32276,plain,
% 8.62/6.44 (xuntil6(s205) | (~until5(s205))),
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% 8.62/6.44 tff(32277,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32276, 32273])).
% 8.62/6.44 tff(32278,plain,
% 8.62/6.44 (~xuntil6(s204)),
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% 8.62/6.44 tff(32279,plain,
% 8.62/6.44 (~always3(s204)),
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% 8.62/6.44 tff(32280,plain,
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% 8.62/6.44 tff(32281,plain,
% 8.62/6.44 (xuntil6(s204) | (~until5(s204))),
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% 8.62/6.44 tff(32282,plain,
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% 8.62/6.44 tff(32283,plain,
% 8.62/6.44 (~xuntil6(s203)),
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% 8.62/6.44 tff(32284,plain,
% 8.62/6.44 (~always3(s203)),
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% 8.62/6.44 tff(32285,plain,
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% 8.62/6.44 (xuntil6(s203) | (~until5(s203))),
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% 8.62/6.44 tff(32287,plain,
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% 8.62/6.44 tff(32288,plain,
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% 8.62/6.44 tff(32289,plain,
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% 8.62/6.44 tff(32291,plain,
% 8.62/6.44 (xuntil6(s202) | (~until5(s202))),
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% 8.62/6.44 tff(32292,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32291, 32288])).
% 8.62/6.44 tff(32293,plain,
% 8.62/6.44 (~xuntil6(s201)),
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% 8.62/6.44 tff(32294,plain,
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% 8.62/6.44 tff(32295,plain,
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% 8.62/6.44 tff(32296,plain,
% 8.62/6.44 (xuntil6(s201) | (~until5(s201))),
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% 8.62/6.44 tff(32297,plain,
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% 8.62/6.44 tff(32298,plain,
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% 8.62/6.44 tff(32299,plain,
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% 8.62/6.44 tff(32300,plain,
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% 8.62/6.44 tff(32301,plain,
% 8.62/6.44 (xuntil6(s200) | (~until5(s200))),
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% 8.62/6.44 tff(32302,plain,
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% 8.62/6.44 tff(32303,plain,
% 8.62/6.44 (~xuntil6(s199)),
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% 8.62/6.44 tff(32304,plain,
% 8.62/6.44 (~always3(s199)),
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% 8.62/6.44 tff(32306,plain,
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% 8.62/6.44 tff(32307,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32306, 32303])).
% 8.62/6.44 tff(32308,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[13477, 32307])).
% 8.62/6.44 tff(32309,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12776, 16, 32309])).
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[13472, 352, 32310])).
% 8.62/6.44 tff(32312,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32311, 32308])).
% 8.62/6.44 tff(32313,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[13465, 32312])).
% 8.62/6.44 tff(32314,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12592, 32309])).
% 8.62/6.44 tff(32315,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12580, 16, 32314])).
% 8.62/6.44 tff(32316,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[13460, 352, 32315])).
% 8.62/6.44 tff(32317,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32316, 32313])).
% 8.62/6.44 tff(32318,plain,
% 8.62/6.44 (~xuntil6(s196)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[13453, 32317])).
% 8.62/6.44 tff(32319,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[13684, 32314])).
% 8.62/6.44 tff(32320,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12862, 16, 32319])).
% 8.62/6.44 tff(32321,plain,
% 8.62/6.44 (xuntil6(s196) | (~until5(s196))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[13445, 352, 32320])).
% 8.62/6.44 tff(32322,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32321, 32318])).
% 8.62/6.44 tff(32323,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12439, 32322])).
% 8.62/6.44 tff(32324,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12404, 32319])).
% 8.62/6.44 tff(32325,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12392, 16, 32324])).
% 8.62/6.44 tff(32326,plain,
% 8.62/6.44 (xuntil6(s195) | (~until5(s195))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12433, 352, 32325])).
% 8.62/6.44 tff(32327,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32326, 32323])).
% 8.62/6.44 tff(32328,plain,
% 8.62/6.44 (~xuntil6(s194)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12383, 32327])).
% 8.62/6.44 tff(32329,plain,
% 8.62/6.44 (~always3(s194)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12348, 32324])).
% 8.62/6.44 tff(32330,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12336, 16, 32329])).
% 8.62/6.44 tff(32331,plain,
% 8.62/6.44 (xuntil6(s194) | (~until5(s194))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12377, 352, 32330])).
% 8.62/6.44 tff(32332,plain,
% 8.62/6.44 (~until5(s194)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32331, 32328])).
% 8.62/6.44 tff(32333,plain,
% 8.62/6.44 (~xuntil6(s193)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12327, 32332])).
% 8.62/6.44 tff(32334,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12292, 32329])).
% 8.62/6.44 tff(32335,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12280, 16, 32334])).
% 8.62/6.44 tff(32336,plain,
% 8.62/6.44 (xuntil6(s193) | (~until5(s193))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12321, 352, 32335])).
% 8.62/6.44 tff(32337,plain,
% 8.62/6.44 (~until5(s193)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32336, 32333])).
% 8.62/6.44 tff(32338,plain,
% 8.62/6.44 (~xuntil6(s192)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12271, 32337])).
% 8.62/6.44 tff(32339,plain,
% 8.62/6.44 (~always3(s192)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12236, 32334])).
% 8.62/6.44 tff(32340,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12224, 16, 32339])).
% 8.62/6.44 tff(32341,plain,
% 8.62/6.44 (xuntil6(s192) | (~until5(s192))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12265, 352, 32340])).
% 8.62/6.44 tff(32342,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32341, 32338])).
% 8.62/6.44 tff(32343,plain,
% 8.62/6.44 (~xuntil6(s191)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12215, 32342])).
% 8.62/6.44 tff(32344,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12180, 32339])).
% 8.62/6.44 tff(32345,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12168, 16, 32344])).
% 8.62/6.44 tff(32346,plain,
% 8.62/6.44 (xuntil6(s191) | (~until5(s191))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12209, 352, 32345])).
% 8.62/6.44 tff(32347,plain,
% 8.62/6.44 (~until5(s191)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32346, 32343])).
% 8.62/6.44 tff(32348,plain,
% 8.62/6.44 (~xuntil6(s190)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12159, 32347])).
% 8.62/6.44 tff(32349,plain,
% 8.62/6.44 (~always3(s190)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12124, 32344])).
% 8.62/6.44 tff(32350,plain,
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% 8.62/6.44 tff(32351,plain,
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% 8.62/6.44 tff(32352,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32351, 32348])).
% 8.62/6.44 tff(32353,plain,
% 8.62/6.44 (~xuntil6(s189)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12103, 32352])).
% 8.62/6.44 tff(32354,plain,
% 8.62/6.44 (~always3(s189)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12068, 32349])).
% 8.62/6.44 tff(32355,plain,
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% 8.62/6.44 tff(32356,plain,
% 8.62/6.44 (xuntil6(s189) | (~until5(s189))),
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% 8.62/6.44 tff(32357,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32356, 32353])).
% 8.62/6.44 tff(32358,plain,
% 8.62/6.44 (~xuntil6(s188)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12047, 32357])).
% 8.62/6.44 tff(32359,plain,
% 8.62/6.44 (~always3(s188)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12012, 32354])).
% 8.62/6.44 tff(32360,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[12000, 16, 32359])).
% 8.62/6.44 tff(32361,plain,
% 8.62/6.44 (xuntil6(s188) | (~until5(s188))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[12041, 352, 32360])).
% 8.62/6.44 tff(32362,plain,
% 8.62/6.44 (~until5(s188)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32361, 32358])).
% 8.62/6.44 tff(32363,plain,
% 8.62/6.44 (~xuntil6(s187)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[11991, 32362])).
% 8.62/6.44 tff(32364,plain,
% 8.62/6.44 (~always3(s187)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[11956, 32359])).
% 8.62/6.44 tff(32365,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[11944, 16, 32364])).
% 8.62/6.44 tff(32366,plain,
% 8.62/6.44 (xuntil6(s187) | (~until5(s187))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[11985, 352, 32365])).
% 8.62/6.44 tff(32367,plain,
% 8.62/6.44 (~until5(s187)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32366, 32363])).
% 8.62/6.44 tff(32368,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[11935, 32367])).
% 8.62/6.44 tff(32369,plain,
% 8.62/6.44 (~always3(s186)),
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% 8.62/6.44 tff(32370,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[11888, 16, 32369])).
% 8.62/6.44 tff(32371,plain,
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% 8.62/6.44 tff(32372,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32371, 32368])).
% 8.62/6.44 tff(32373,plain,
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% 8.62/6.44 tff(32374,plain,
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% 8.62/6.44 tff(32375,plain,
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% 8.62/6.44 tff(32377,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32376, 32373])).
% 8.62/6.44 tff(32378,plain,
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% 8.62/6.44 tff(32379,plain,
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% 8.62/6.44 tff(32380,plain,
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% 8.62/6.44 tff(32381,plain,
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% 8.62/6.44 tff(32382,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32381, 32378])).
% 8.62/6.44 tff(32383,plain,
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% 8.62/6.44 tff(32384,plain,
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% 8.62/6.44 tff(32385,plain,
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% 8.62/6.44 tff(32386,plain,
% 8.62/6.44 (xuntil6(s183) | (~until5(s183))),
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% 8.62/6.44 tff(32387,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32386, 32383])).
% 8.62/6.44 tff(32388,plain,
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% 8.62/6.44 tff(32389,plain,
% 8.62/6.44 (~always3(s182)),
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% 8.62/6.44 tff(32390,plain,
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% 8.62/6.44 tff(32391,plain,
% 8.62/6.44 (xuntil6(s182) | (~until5(s182))),
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% 8.62/6.44 tff(32392,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32391, 32388])).
% 8.62/6.44 tff(32393,plain,
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% 8.62/6.44 tff(32394,plain,
% 8.62/6.44 (~always3(s181)),
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% 8.62/6.44 tff(32395,plain,
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% 8.62/6.44 tff(32396,plain,
% 8.62/6.44 (xuntil6(s181) | (~until5(s181))),
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% 8.62/6.44 tff(32397,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32396, 32393])).
% 8.62/6.44 tff(32398,plain,
% 8.62/6.44 (~xuntil6(s180)),
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% 8.62/6.44 tff(32399,plain,
% 8.62/6.44 (~always3(s180)),
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% 8.62/6.44 tff(32400,plain,
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% 8.62/6.44 tff(32401,plain,
% 8.62/6.44 (xuntil6(s180) | (~until5(s180))),
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% 8.62/6.44 tff(32402,plain,
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% 8.62/6.44 tff(32403,plain,
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% 8.62/6.44 tff(32404,plain,
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% 8.62/6.44 tff(32405,plain,
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% 8.62/6.44 tff(32406,plain,
% 8.62/6.44 (xuntil6(s179) | (~until5(s179))),
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% 8.62/6.44 tff(32407,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32406, 32403])).
% 8.62/6.44 tff(32408,plain,
% 8.62/6.44 (~xuntil6(s178)),
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% 8.62/6.44 tff(32409,plain,
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% 8.62/6.44 tff(32410,plain,
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% 8.62/6.44 tff(32411,plain,
% 8.62/6.44 (xuntil6(s178) | (~until5(s178))),
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% 8.62/6.44 tff(32412,plain,
% 8.62/6.44 (~until5(s178)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32411, 32408])).
% 8.62/6.44 tff(32413,plain,
% 8.62/6.44 (~xuntil6(s177)),
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% 8.62/6.44 tff(32414,plain,
% 8.62/6.44 (~always3(s177)),
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% 8.62/6.44 tff(32415,plain,
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% 8.62/6.44 tff(32416,plain,
% 8.62/6.44 (xuntil6(s177) | (~until5(s177))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[11422, 352, 32415])).
% 8.62/6.44 tff(32417,plain,
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% 8.62/6.44 inference(unit_resolution,[status(thm)],[32416, 32413])).
% 8.62/6.44 tff(32418,plain,
% 8.62/6.44 (~xuntil6(s176)),
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% 8.62/6.44 tff(32419,plain,
% 8.62/6.44 (~always3(s176)),
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% 8.62/6.44 tff(32420,plain,
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% 8.62/6.44 tff(32421,plain,
% 8.62/6.44 (xuntil6(s176) | (~until5(s176))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[11366, 352, 32420])).
% 8.62/6.44 tff(32422,plain,
% 8.62/6.44 (~until5(s176)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32421, 32418])).
% 8.62/6.44 tff(32423,plain,
% 8.62/6.44 (~xuntil6(s175)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[11312, 32422])).
% 8.62/6.44 tff(32424,plain,
% 8.62/6.44 (~always3(s175)),
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% 8.62/6.44 tff(32425,plain,
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% 8.62/6.44 tff(32426,plain,
% 8.62/6.44 (xuntil6(s175) | (~until5(s175))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[11306, 352, 32425])).
% 8.62/6.44 tff(32427,plain,
% 8.62/6.44 (~until5(s175)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32426, 32423])).
% 8.62/6.44 tff(32428,plain,
% 8.62/6.44 (~always3(s174)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[11242, 32424])).
% 8.62/6.44 tff(32429,plain,
% 8.62/6.44 (~always3(s173)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[11162, 32428])).
% 8.62/6.44 tff(32430,plain,
% 8.62/6.44 (~always3(s172)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[11106, 32429])).
% 8.62/6.44 tff(32431,plain,
% 8.62/6.44 (~always3(s171)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[11050, 32430])).
% 8.62/6.44 tff(32432,plain,
% 8.62/6.44 (~always3(s170)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10977, 32431])).
% 8.62/6.44 tff(32433,plain,
% 8.62/6.44 (~always3(s169)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10921, 32432])).
% 8.62/6.44 tff(32434,plain,
% 8.62/6.44 (~always3(s168)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10865, 32433])).
% 8.62/6.44 tff(32435,plain,
% 8.62/6.44 (~always3(s167)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10809, 32434])).
% 8.62/6.44 tff(32436,plain,
% 8.62/6.44 (~always3(s166)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10753, 32435])).
% 8.62/6.44 tff(32437,plain,
% 8.62/6.44 (~always3(s165)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10697, 32436])).
% 8.62/6.44 tff(32438,plain,
% 8.62/6.44 (~always3(s164)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10635, 32437])).
% 8.62/6.44 tff(32439,plain,
% 8.62/6.44 (~always3(s163)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10582, 32438])).
% 8.62/6.44 tff(32440,plain,
% 8.62/6.44 (~always3(s162)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10526, 32439])).
% 8.62/6.44 tff(32441,plain,
% 8.62/6.44 (~always3(s161)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10464, 32440])).
% 8.62/6.44 tff(32442,plain,
% 8.62/6.44 (~always3(s160)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10411, 32441])).
% 8.62/6.44 tff(32443,plain,
% 8.62/6.44 (~always3(s159)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10355, 32442])).
% 8.62/6.44 tff(32444,plain,
% 8.62/6.44 (~always3(s158)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10299, 32443])).
% 8.62/6.44 tff(32445,plain,
% 8.62/6.44 (~always3(s157)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10243, 32444])).
% 8.62/6.44 tff(32446,plain,
% 8.62/6.44 (~always3(s156)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10187, 32445])).
% 8.62/6.44 tff(32447,plain,
% 8.62/6.44 (~always3(s155)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10131, 32446])).
% 8.62/6.44 tff(32448,plain,
% 8.62/6.44 (~always3(s154)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10075, 32447])).
% 8.62/6.44 tff(32449,plain,
% 8.62/6.44 (~always3(s153)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[10019, 32448])).
% 8.62/6.44 tff(32450,plain,
% 8.62/6.44 (~always3(s152)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9963, 32449])).
% 8.62/6.44 tff(32451,plain,
% 8.62/6.44 (~always3(s151)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9907, 32450])).
% 8.62/6.44 tff(32452,plain,
% 8.62/6.44 (~always3(s150)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[217, 32451])).
% 8.62/6.44 tff(32453,plain,
% 8.62/6.44 (~always3(s149)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9845, 32452])).
% 8.62/6.44 tff(32454,plain,
% 8.62/6.44 (~always3(s148)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9789, 32453])).
% 8.62/6.44 tff(32455,plain,
% 8.62/6.44 (~always3(s147)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9733, 32454])).
% 8.62/6.44 tff(32456,plain,
% 8.62/6.44 (~always3(s146)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9677, 32455])).
% 8.62/6.44 tff(32457,plain,
% 8.62/6.44 (~always3(s145)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9621, 32456])).
% 8.62/6.44 tff(32458,plain,
% 8.62/6.44 (~always3(s144)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9565, 32457])).
% 8.62/6.44 tff(32459,plain,
% 8.62/6.44 (~always3(s143)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9509, 32458])).
% 8.62/6.44 tff(32460,plain,
% 8.62/6.44 (~always3(s142)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9453, 32459])).
% 8.62/6.44 tff(32461,plain,
% 8.62/6.44 (~always3(s141)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9397, 32460])).
% 8.62/6.44 tff(32462,plain,
% 8.62/6.44 (~always3(s140)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9341, 32461])).
% 8.62/6.44 tff(32463,plain,
% 8.62/6.44 (~always3(s139)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9285, 32462])).
% 8.62/6.44 tff(32464,plain,
% 8.62/6.44 (~always3(s138)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9229, 32463])).
% 8.62/6.44 tff(32465,plain,
% 8.62/6.44 (~always3(s137)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9173, 32464])).
% 8.62/6.44 tff(32466,plain,
% 8.62/6.44 (~always3(s136)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9100, 32465])).
% 8.62/6.44 tff(32467,plain,
% 8.62/6.44 (~always3(s135)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[9044, 32466])).
% 8.62/6.44 tff(32468,plain,
% 8.62/6.44 (~always3(s134)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8988, 32467])).
% 8.62/6.44 tff(32469,plain,
% 8.62/6.44 (~always3(s133)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8932, 32468])).
% 8.62/6.44 tff(32470,plain,
% 8.62/6.44 (~always3(s132)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8876, 32469])).
% 8.62/6.44 tff(32471,plain,
% 8.62/6.44 (~always3(s131)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8820, 32470])).
% 8.62/6.44 tff(32472,plain,
% 8.62/6.44 (~always3(s130)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8764, 32471])).
% 8.62/6.44 tff(32473,plain,
% 8.62/6.44 (~always3(s129)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8708, 32472])).
% 8.62/6.44 tff(32474,plain,
% 8.62/6.44 (~always3(s128)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8652, 32473])).
% 8.62/6.44 tff(32475,plain,
% 8.62/6.44 (~always3(s127)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8596, 32474])).
% 8.62/6.44 tff(32476,plain,
% 8.62/6.44 (~always3(s126)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8540, 32475])).
% 8.62/6.44 tff(32477,plain,
% 8.62/6.44 (~always3(s125)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8484, 32476])).
% 8.62/6.44 tff(32478,plain,
% 8.62/6.44 (~always3(s124)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8428, 32477])).
% 8.62/6.44 tff(32479,plain,
% 8.62/6.44 (~always3(s123)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8372, 32478])).
% 8.62/6.44 tff(32480,plain,
% 8.62/6.44 (~always3(s122)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8316, 32479])).
% 8.62/6.44 tff(32481,plain,
% 8.62/6.44 (~always3(s121)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8260, 32480])).
% 8.62/6.44 tff(32482,plain,
% 8.62/6.44 (~always3(s120)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8204, 32481])).
% 8.62/6.44 tff(32483,plain,
% 8.62/6.44 (~always3(s119)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8148, 32482])).
% 8.62/6.44 tff(32484,plain,
% 8.62/6.44 (~always3(s118)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8092, 32483])).
% 8.62/6.44 tff(32485,plain,
% 8.62/6.44 (~always3(s117)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[8036, 32484])).
% 8.62/6.44 tff(32486,plain,
% 8.62/6.44 (~always3(s116)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7980, 32485])).
% 8.62/6.44 tff(32487,plain,
% 8.62/6.44 (~always3(s115)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7924, 32486])).
% 8.62/6.44 tff(32488,plain,
% 8.62/6.44 (~always3(s114)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7868, 32487])).
% 8.62/6.44 tff(32489,plain,
% 8.62/6.44 (~always3(s113)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7812, 32488])).
% 8.62/6.44 tff(32490,plain,
% 8.62/6.44 (~always3(s112)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7739, 32489])).
% 8.62/6.44 tff(32491,plain,
% 8.62/6.44 (~always3(s111)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7673, 32490])).
% 8.62/6.44 tff(32492,plain,
% 8.62/6.44 (~always3(s110)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7617, 32491])).
% 8.62/6.44 tff(32493,plain,
% 8.62/6.44 (~always3(s109)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7561, 32492])).
% 8.62/6.44 tff(32494,plain,
% 8.62/6.44 (~always3(s108)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7505, 32493])).
% 8.62/6.44 tff(32495,plain,
% 8.62/6.44 (~always3(s107)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7449, 32494])).
% 8.62/6.44 tff(32496,plain,
% 8.62/6.44 (~always3(s106)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7393, 32495])).
% 8.62/6.44 tff(32497,plain,
% 8.62/6.44 (~always3(s105)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7337, 32496])).
% 8.62/6.44 tff(32498,plain,
% 8.62/6.44 (~always3(s104)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7250, 32497])).
% 8.62/6.44 tff(32499,plain,
% 8.62/6.44 (~always3(s103)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7169, 32498])).
% 8.62/6.44 tff(32500,plain,
% 8.62/6.44 (~always3(s102)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7120, 32499])).
% 8.62/6.44 tff(32501,plain,
% 8.62/6.44 (~always3(s101)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7064, 32500])).
% 8.62/6.44 tff(32502,plain,
% 8.62/6.44 (~always3(s100)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[7008, 32501])).
% 8.62/6.44 tff(32503,plain,
% 8.62/6.44 (~always3(s99)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6952, 32502])).
% 8.62/6.44 tff(32504,plain,
% 8.62/6.44 (~always3(s98)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6896, 32503])).
% 8.62/6.44 tff(32505,plain,
% 8.62/6.44 (~always3(s97)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6840, 32504])).
% 8.62/6.44 tff(32506,plain,
% 8.62/6.44 (~always3(s96)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6784, 32505])).
% 8.62/6.44 tff(32507,plain,
% 8.62/6.44 (~always3(s95)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6728, 32506])).
% 8.62/6.44 tff(32508,plain,
% 8.62/6.44 (~always3(s94)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6672, 32507])).
% 8.62/6.44 tff(32509,plain,
% 8.62/6.44 (~always3(s93)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6598, 32508])).
% 8.62/6.44 tff(32510,plain,
% 8.62/6.44 (~always3(s92)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6158, 32509])).
% 8.62/6.44 tff(32511,plain,
% 8.62/6.44 (~always3(s91)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6519, 32510])).
% 8.62/6.44 tff(32512,plain,
% 8.62/6.44 (~always3(s90)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6222, 32511])).
% 8.62/6.44 tff(32513,plain,
% 8.62/6.44 (~always3(s89)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6105, 32512])).
% 8.62/6.44 tff(32514,plain,
% 8.62/6.44 (~always3(s88)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[6049, 32513])).
% 8.62/6.44 tff(32515,plain,
% 8.62/6.44 (~always3(s87)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5993, 32514])).
% 8.62/6.44 tff(32516,plain,
% 8.62/6.44 (~always3(s86)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[138, 32515])).
% 8.62/6.44 tff(32517,plain,
% 8.62/6.44 (~always3(s85)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5735, 32516])).
% 8.62/6.44 tff(32518,plain,
% 8.62/6.44 (~always3(s84)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5679, 32517])).
% 8.62/6.44 tff(32519,plain,
% 8.62/6.44 (~always3(s83)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5623, 32518])).
% 8.62/6.44 tff(32520,plain,
% 8.62/6.44 (~always3(s82)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5567, 32519])).
% 8.62/6.44 tff(32521,plain,
% 8.62/6.44 (~always3(s81)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5511, 32520])).
% 8.62/6.44 tff(32522,plain,
% 8.62/6.44 (~always3(s80)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5455, 32521])).
% 8.62/6.44 tff(32523,plain,
% 8.62/6.44 (~always3(s79)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5399, 32522])).
% 8.62/6.44 tff(32524,plain,
% 8.62/6.44 (~always3(s78)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5343, 32523])).
% 8.62/6.44 tff(32525,plain,
% 8.62/6.44 (~always3(s77)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5287, 32524])).
% 8.62/6.44 tff(32526,plain,
% 8.62/6.44 (~always3(s76)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5231, 32525])).
% 8.62/6.44 tff(32527,plain,
% 8.62/6.44 (~always3(s75)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5175, 32526])).
% 8.62/6.44 tff(32528,plain,
% 8.62/6.44 (~always3(s74)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5119, 32527])).
% 8.62/6.44 tff(32529,plain,
% 8.62/6.44 (~always3(s73)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5063, 32528])).
% 8.62/6.44 tff(32530,plain,
% 8.62/6.44 (~always3(s72)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5007, 32529])).
% 8.62/6.44 tff(32531,plain,
% 8.62/6.44 (~always3(s71)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4951, 32530])).
% 8.62/6.44 tff(32532,plain,
% 8.62/6.44 (~always3(s70)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4895, 32531])).
% 8.62/6.44 tff(32533,plain,
% 8.62/6.44 (~always3(s69)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4839, 32532])).
% 8.62/6.44 tff(32534,plain,
% 8.62/6.44 (~always3(s68)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4783, 32533])).
% 8.62/6.44 tff(32535,plain,
% 8.62/6.44 (~always3(s67)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4727, 32534])).
% 8.62/6.44 tff(32536,plain,
% 8.62/6.44 (~always3(s66)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4671, 32535])).
% 8.62/6.44 tff(32537,plain,
% 8.62/6.44 (~always3(s65)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4615, 32536])).
% 8.62/6.44 tff(32538,plain,
% 8.62/6.44 (~always3(s64)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4559, 32537])).
% 8.62/6.44 tff(32539,plain,
% 8.62/6.44 (~always3(s63)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4503, 32538])).
% 8.62/6.44 tff(32540,plain,
% 8.62/6.44 (~always3(s62)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4447, 32539])).
% 8.62/6.44 tff(32541,plain,
% 8.62/6.44 (~always3(s61)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4391, 32540])).
% 8.62/6.44 tff(32542,plain,
% 8.62/6.44 (~always3(s60)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4335, 32541])).
% 8.62/6.44 tff(32543,plain,
% 8.62/6.44 (~always3(s59)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4279, 32542])).
% 8.62/6.44 tff(32544,plain,
% 8.62/6.44 (~always3(s58)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4223, 32543])).
% 8.62/6.44 tff(32545,plain,
% 8.62/6.44 (~always3(s57)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4167, 32544])).
% 8.62/6.44 tff(32546,plain,
% 8.62/6.44 (~always3(s56)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4111, 32545])).
% 8.62/6.44 tff(32547,plain,
% 8.62/6.44 (~always3(s55)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4055, 32546])).
% 8.62/6.44 tff(32548,plain,
% 8.62/6.44 (~always3(s54)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3999, 32547])).
% 8.62/6.44 tff(32549,plain,
% 8.62/6.44 (~always3(s53)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3943, 32548])).
% 8.62/6.44 tff(32550,plain,
% 8.62/6.44 (~always3(s52)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3887, 32549])).
% 8.62/6.44 tff(32551,plain,
% 8.62/6.44 (~always3(s51)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3831, 32550])).
% 8.62/6.44 tff(32552,plain,
% 8.62/6.44 (~always3(s50)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3775, 32551])).
% 8.62/6.44 tff(32553,plain,
% 8.62/6.44 (~always3(s49)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3719, 32552])).
% 8.62/6.44 tff(32554,plain,
% 8.62/6.44 (~always3(s48)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3663, 32553])).
% 8.62/6.44 tff(32555,plain,
% 8.62/6.44 (~always3(s47)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3607, 32554])).
% 8.62/6.44 tff(32556,plain,
% 8.62/6.44 (~always3(s46)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3551, 32555])).
% 8.62/6.44 tff(32557,plain,
% 8.62/6.44 (~always3(s45)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3495, 32556])).
% 8.62/6.44 tff(32558,plain,
% 8.62/6.44 (~always3(s44)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3439, 32557])).
% 8.62/6.44 tff(32559,plain,
% 8.62/6.44 (~always3(s43)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3383, 32558])).
% 8.62/6.44 tff(32560,plain,
% 8.62/6.44 (~always3(s42)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3327, 32559])).
% 8.62/6.44 tff(32561,plain,
% 8.62/6.44 (~always3(s41)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3271, 32560])).
% 8.62/6.44 tff(32562,plain,
% 8.62/6.44 (~always3(s40)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3215, 32561])).
% 8.62/6.44 tff(32563,plain,
% 8.62/6.44 (~always3(s39)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3159, 32562])).
% 8.62/6.44 tff(32564,plain,
% 8.62/6.44 (~always3(s38)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3103, 32563])).
% 8.62/6.44 tff(32565,plain,
% 8.62/6.44 (~always3(s37)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3016, 32564])).
% 8.62/6.44 tff(32566,plain,
% 8.62/6.44 (~always3(s36)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2802, 32565])).
% 8.62/6.44 tff(32567,plain,
% 8.62/6.44 (~always3(s35)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2721, 32566])).
% 8.62/6.44 tff(32568,plain,
% 8.62/6.44 (~always3(s34)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2683, 32567])).
% 8.62/6.44 tff(32569,plain,
% 8.62/6.44 (~always3(s33)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2018, 32568])).
% 8.62/6.44 tff(32570,plain,
% 8.62/6.44 (~always3(s32)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1579, 32569])).
% 8.62/6.44 tff(32571,plain,
% 8.62/6.44 (~always3(s31)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1591, 32570])).
% 8.62/6.44 tff(32572,plain,
% 8.62/6.44 (~always3(s30)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[116, 32571])).
% 8.62/6.44 tff(32573,plain,
% 8.62/6.44 (~always3(s29)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1702, 32572])).
% 8.62/6.44 tff(32574,plain,
% 8.62/6.44 (~always3(s28)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1731, 32573])).
% 8.62/6.44 tff(32575,plain,
% 8.62/6.44 (~always3(s27)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1760, 32574])).
% 8.62/6.44 tff(32576,plain,
% 8.62/6.44 (~always3(s26)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1789, 32575])).
% 8.62/6.44 tff(32577,plain,
% 8.62/6.44 (~always3(s25)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1818, 32576])).
% 8.62/6.44 tff(32578,plain,
% 8.62/6.44 (~always3(s24)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1830, 32577])).
% 8.62/6.44 tff(32579,plain,
% 8.62/6.44 (~always3(s23)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1842, 32578])).
% 8.62/6.44 tff(32580,plain,
% 8.62/6.44 (~always3(s22)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1854, 32579])).
% 8.62/6.44 tff(32581,plain,
% 8.62/6.44 (~always3(s21)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[240, 32580])).
% 8.62/6.44 tff(32582,plain,
% 8.62/6.44 (~always3(s20)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1867, 32581])).
% 8.62/6.44 tff(32583,plain,
% 8.62/6.44 (~always3(s19)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1879, 32582])).
% 8.62/6.44 tff(32584,plain,
% 8.62/6.44 (~always3(s18)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[289, 32583])).
% 8.62/6.44 tff(32585,plain,
% 8.62/6.44 (~always3(s17)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1518, 32584])).
% 8.62/6.44 tff(32586,plain,
% 8.62/6.44 (~always3(s16)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1480, 32585])).
% 8.62/6.44 tff(32587,plain,
% 8.62/6.44 (~always3(s15)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1418, 32586])).
% 8.62/6.44 tff(32588,plain,
% 8.62/6.44 (~always3(s14)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1283, 32587])).
% 8.62/6.44 tff(32589,plain,
% 8.62/6.44 (~always3(s13)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1166, 32588])).
% 8.62/6.44 tff(32590,plain,
% 8.62/6.44 (~always3(s12)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1032, 32589])).
% 8.62/6.44 tff(32591,plain,
% 8.62/6.44 (~always3(s11)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1044, 32590])).
% 8.62/6.44 tff(32592,plain,
% 8.62/6.44 (~always3(s10)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1128, 32591])).
% 8.62/6.44 tff(32593,plain,
% 8.62/6.44 (~always3(s9)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[871, 32592])).
% 8.62/6.44 tff(32594,plain,
% 8.62/6.44 (~always3(s8)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[743, 32593])).
% 8.62/6.44 tff(32595,plain,
% 8.62/6.44 (~always3(s7)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[788, 32594])).
% 8.62/6.44 tff(32596,plain,
% 8.62/6.44 (~always3(s6)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[817, 32595])).
% 8.62/6.44 tff(32597,plain,
% 8.62/6.44 (~always3(s5)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[693, 32596])).
% 8.62/6.44 tff(32598,plain,
% 8.62/6.44 (~always3(s4)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[484, 32597])).
% 8.62/6.44 tff(32599,plain,
% 8.62/6.44 (~always3(s3)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[333, 32598])).
% 8.62/6.44 tff(32600,plain,
% 8.62/6.44 (~always3(s2)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[398, 32599])).
% 8.62/6.44 tff(32601,plain,
% 8.62/6.44 (~always3(s1)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[410, 32600])).
% 8.62/6.44 tff(32602,plain,
% 8.62/6.44 (~node4(s1)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[414, 16, 32601])).
% 8.62/6.44 tff(32603,plain,
% 8.62/6.44 (~always3(s0)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[426, 32601])).
% 8.62/6.44 tff(32604,plain,
% 8.62/6.44 (~node4(s0)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[430, 16, 32603])).
% 8.62/6.44 tff(32605,plain,
% 8.62/6.44 (xuntil6(s0)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[441, 32604])).
% 8.62/6.44 tff(32606,plain,
% 8.62/6.44 (until5(s1)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[446, 32605])).
% 8.62/6.44 tff(32607,plain,
% 8.62/6.44 (xuntil6(s1)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[453, 352, 32606, 32602])).
% 8.62/6.44 tff(32608,plain,
% 8.62/6.44 (until5(s2)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[458, 32607])).
% 8.62/6.44 tff(32609,plain,
% 8.62/6.44 (~node4(s2)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[462, 16, 32600])).
% 8.62/6.44 tff(32610,plain,
% 8.62/6.44 (xuntil6(s2) | (~until5(s2))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[469, 352, 32609])).
% 8.62/6.44 tff(32611,plain,
% 8.62/6.44 (xuntil6(s2)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32610, 32608])).
% 8.62/6.44 tff(32612,plain,
% 8.62/6.44 (until5(s3)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[389, 32611])).
% 8.62/6.44 tff(32613,plain,
% 8.62/6.44 (~node4(s3)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[337, 16, 32599])).
% 8.62/6.44 tff(32614,plain,
% 8.62/6.44 (xuntil6(s3) | (~until5(s3))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[381, 352, 32613])).
% 8.62/6.44 tff(32615,plain,
% 8.62/6.44 (xuntil6(s3)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32614, 32612])).
% 8.62/6.44 tff(32616,plain,
% 8.62/6.44 (until5(s4)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[374, 32615])).
% 8.62/6.44 tff(32617,plain,
% 8.62/6.44 (~node4(s4)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[341, 16, 32598])).
% 8.62/6.44 tff(32618,plain,
% 8.62/6.44 (xuntil6(s4) | (~until5(s4))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[358, 352, 32617])).
% 8.62/6.44 tff(32619,plain,
% 8.62/6.44 (xuntil6(s4)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32618, 32616])).
% 8.62/6.44 tff(32620,plain,
% 8.62/6.44 (until5(s5)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[672, 32619])).
% 8.62/6.44 tff(32621,plain,
% 8.62/6.44 (~node4(s5)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[681, 16, 32597])).
% 8.62/6.44 tff(32622,plain,
% 8.62/6.44 (xuntil6(s5) | (~until5(s5))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[722, 352, 32621])).
% 8.62/6.44 tff(32623,plain,
% 8.62/6.44 (xuntil6(s5)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32622, 32620])).
% 8.62/6.44 tff(32624,plain,
% 8.62/6.44 (until5(s6)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[728, 32623])).
% 8.62/6.44 tff(32625,plain,
% 8.62/6.44 (~node4(s6)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[821, 16, 32596])).
% 8.62/6.44 tff(32626,plain,
% 8.62/6.44 (xuntil6(s6) | (~until5(s6))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[828, 352, 32625])).
% 8.62/6.44 tff(32627,plain,
% 8.62/6.44 (xuntil6(s6)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32626, 32624])).
% 8.62/6.44 tff(32628,plain,
% 8.62/6.44 (until5(s7)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[808, 32627])).
% 8.62/6.44 tff(32629,plain,
% 8.62/6.44 (~node4(s7)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[792, 16, 32595])).
% 8.62/6.44 tff(32630,plain,
% 8.62/6.44 (xuntil6(s7) | (~until5(s7))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[799, 352, 32629])).
% 8.62/6.44 tff(32631,plain,
% 8.62/6.44 (xuntil6(s7)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32630, 32628])).
% 8.62/6.44 tff(32632,plain,
% 8.62/6.44 (until5(s8)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[779, 32631])).
% 8.62/6.44 tff(32633,plain,
% 8.62/6.44 (~node4(s8)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[747, 16, 32594])).
% 8.62/6.44 tff(32634,plain,
% 8.62/6.44 (xuntil6(s8) | (~until5(s8))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[771, 352, 32633])).
% 8.62/6.44 tff(32635,plain,
% 8.62/6.44 (xuntil6(s8)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32634, 32632])).
% 8.62/6.44 tff(32636,plain,
% 8.62/6.44 (until5(s9)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[764, 32635])).
% 8.62/6.44 tff(32637,plain,
% 8.62/6.44 (~node4(s9)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[751, 16, 32593])).
% 8.62/6.44 tff(32638,plain,
% 8.62/6.44 (xuntil6(s9) | (~until5(s9))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[758, 352, 32637])).
% 8.62/6.44 tff(32639,plain,
% 8.62/6.44 (xuntil6(s9)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32638, 32636])).
% 8.62/6.44 tff(32640,plain,
% 8.62/6.44 (until5(s10)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1017, 32639])).
% 8.62/6.44 tff(32641,plain,
% 8.62/6.44 (~node4(s10)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1132, 16, 32592])).
% 8.62/6.44 tff(32642,plain,
% 8.62/6.44 (xuntil6(s10) | (~until5(s10))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1139, 352, 32641])).
% 8.62/6.44 tff(32643,plain,
% 8.62/6.44 (xuntil6(s10)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32642, 32640])).
% 8.62/6.44 tff(32644,plain,
% 8.62/6.44 (until5(s11)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1145, 32643])).
% 8.62/6.44 tff(32645,plain,
% 8.62/6.44 (~node4(s11)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1048, 16, 32591])).
% 8.62/6.44 tff(32646,plain,
% 8.62/6.44 (xuntil6(s11) | (~until5(s11))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1152, 352, 32645])).
% 8.62/6.44 tff(32647,plain,
% 8.62/6.44 (xuntil6(s11)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32646, 32644])).
% 8.62/6.44 tff(32648,plain,
% 8.62/6.44 (until5(s12)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1116, 32647])).
% 8.62/6.44 tff(32649,plain,
% 8.62/6.44 (~node4(s12)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1074, 16, 32590])).
% 8.62/6.44 tff(32650,plain,
% 8.62/6.44 (xuntil6(s12) | (~until5(s12))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1110, 352, 32649])).
% 8.62/6.44 tff(32651,plain,
% 8.62/6.44 (xuntil6(s12)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32650, 32648])).
% 8.62/6.44 tff(32652,plain,
% 8.62/6.44 (until5(s13)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1065, 32651])).
% 8.62/6.44 tff(32653,plain,
% 8.62/6.44 (~node4(s13)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1052, 16, 32589])).
% 8.62/6.44 tff(32654,plain,
% 8.62/6.44 (xuntil6(s13) | (~until5(s13))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1059, 352, 32653])).
% 8.62/6.44 tff(32655,plain,
% 8.62/6.44 (xuntil6(s13)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32654, 32652])).
% 8.62/6.44 tff(32656,plain,
% 8.62/6.44 (until5(s14)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1262, 32655])).
% 8.62/6.44 tff(32657,plain,
% 8.62/6.44 (~node4(s14)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1271, 16, 32588])).
% 8.62/6.44 tff(32658,plain,
% 8.62/6.44 (xuntil6(s14) | (~until5(s14))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1312, 352, 32657])).
% 8.62/6.44 tff(32659,plain,
% 8.62/6.44 (xuntil6(s14)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32658, 32656])).
% 8.62/6.44 tff(32660,plain,
% 8.62/6.44 (until5(s15)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1318, 32659])).
% 8.62/6.44 tff(32661,plain,
% 8.62/6.44 (~node4(s15)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1326, 16, 32587])).
% 8.62/6.44 tff(32662,plain,
% 8.62/6.44 (xuntil6(s15) | (~until5(s15))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1333, 352, 32661])).
% 8.62/6.44 tff(32663,plain,
% 8.62/6.44 (xuntil6(s15)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32662, 32660])).
% 8.62/6.44 tff(32664,plain,
% 8.62/6.44 (until5(s16)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1453, 32663])).
% 8.62/6.44 tff(32665,plain,
% 8.62/6.44 (~node4(s16)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1484, 16, 32586])).
% 8.62/6.44 tff(32666,plain,
% 8.62/6.44 (xuntil6(s16) | (~until5(s16))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1491, 352, 32665])).
% 8.62/6.44 tff(32667,plain,
% 8.62/6.44 (xuntil6(s16)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32666, 32664])).
% 8.62/6.44 tff(32668,plain,
% 8.62/6.44 (until5(s17)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1497, 32667])).
% 8.62/6.44 tff(32669,plain,
% 8.62/6.44 (~node4(s17)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1460, 16, 32585])).
% 8.62/6.44 tff(32670,plain,
% 8.62/6.44 (xuntil6(s17) | (~until5(s17))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1467, 352, 32669])).
% 8.62/6.44 tff(32671,plain,
% 8.62/6.44 (xuntil6(s17)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32670, 32668])).
% 8.62/6.44 tff(32672,plain,
% 8.62/6.44 (until5(s18)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1565, 32671])).
% 8.62/6.44 tff(32673,plain,
% 8.62/6.44 (~node4(s18)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[277, 16, 32584])).
% 8.62/6.44 tff(32674,plain,
% 8.62/6.44 (xuntil6(s18) | (~until5(s18))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1892, 352, 32673])).
% 8.62/6.44 tff(32675,plain,
% 8.62/6.44 (xuntil6(s18)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32674, 32672])).
% 8.62/6.44 tff(32676,plain,
% 8.62/6.44 (until5(s19)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1898, 32675])).
% 8.62/6.44 tff(32677,plain,
% 8.62/6.44 (~node4(s19)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1883, 16, 32583])).
% 8.62/6.44 tff(32678,plain,
% 8.62/6.44 (xuntil6(s19) | (~until5(s19))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1905, 352, 32677])).
% 8.62/6.44 tff(32679,plain,
% 8.62/6.44 (xuntil6(s19)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32678, 32676])).
% 8.62/6.44 tff(32680,plain,
% 8.62/6.44 (until5(s20)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1910, 32679])).
% 8.62/6.44 tff(32681,plain,
% 8.62/6.44 (~node4(s20)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1914, 16, 32582])).
% 8.62/6.44 tff(32682,plain,
% 8.62/6.44 (xuntil6(s20) | (~until5(s20))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1921, 352, 32681])).
% 8.62/6.44 tff(32683,plain,
% 8.62/6.44 (xuntil6(s20)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32682, 32680])).
% 8.62/6.44 tff(32684,plain,
% 8.62/6.44 (until5(s21)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1927, 32683])).
% 8.62/6.44 tff(32685,plain,
% 8.62/6.44 (~node4(s21)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[228, 16, 32581])).
% 8.62/6.44 tff(32686,plain,
% 8.62/6.44 (xuntil6(s21) | (~until5(s21))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1935, 352, 32685])).
% 8.62/6.44 tff(32687,plain,
% 8.62/6.44 (xuntil6(s21)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32686, 32684])).
% 8.62/6.44 tff(32688,plain,
% 8.62/6.44 (until5(s22)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1941, 32687])).
% 8.62/6.44 tff(32689,plain,
% 8.62/6.44 (~node4(s22)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1945, 16, 32580])).
% 8.62/6.44 tff(32690,plain,
% 8.62/6.44 (xuntil6(s22) | (~until5(s22))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1952, 352, 32689])).
% 8.62/6.44 tff(32691,plain,
% 8.62/6.44 (xuntil6(s22)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32690, 32688])).
% 8.62/6.44 tff(32692,plain,
% 8.62/6.44 (until5(s23)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1958, 32691])).
% 8.62/6.44 tff(32693,plain,
% 8.62/6.44 (~node4(s23)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1962, 16, 32579])).
% 8.62/6.44 tff(32694,plain,
% 8.62/6.44 (xuntil6(s23) | (~until5(s23))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1969, 352, 32693])).
% 8.62/6.44 tff(32695,plain,
% 8.62/6.44 (xuntil6(s23)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32694, 32692])).
% 8.62/6.44 tff(32696,plain,
% 8.62/6.44 (until5(s24)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1975, 32695])).
% 8.62/6.44 tff(32697,plain,
% 8.62/6.44 (~node4(s24)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1979, 16, 32578])).
% 8.62/6.44 tff(32698,plain,
% 8.62/6.44 (xuntil6(s24) | (~until5(s24))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1986, 352, 32697])).
% 8.62/6.44 tff(32699,plain,
% 8.62/6.44 (xuntil6(s24)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32698, 32696])).
% 8.62/6.44 tff(32700,plain,
% 8.62/6.44 (until5(s25)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1992, 32699])).
% 8.62/6.44 tff(32701,plain,
% 8.62/6.44 (~node4(s25)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1996, 16, 32577])).
% 8.62/6.44 tff(32702,plain,
% 8.62/6.44 (xuntil6(s25) | (~until5(s25))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2003, 352, 32701])).
% 8.62/6.44 tff(32703,plain,
% 8.62/6.44 (xuntil6(s25)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32702, 32700])).
% 8.62/6.44 tff(32704,plain,
% 8.62/6.44 (until5(s26)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1809, 32703])).
% 8.62/6.44 tff(32705,plain,
% 8.62/6.44 (~node4(s26)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1793, 16, 32576])).
% 8.62/6.44 tff(32706,plain,
% 8.62/6.44 (xuntil6(s26) | (~until5(s26))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1800, 352, 32705])).
% 8.62/6.44 tff(32707,plain,
% 8.62/6.44 (xuntil6(s26)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32706, 32704])).
% 8.62/6.44 tff(32708,plain,
% 8.62/6.44 (until5(s27)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1780, 32707])).
% 8.62/6.44 tff(32709,plain,
% 8.62/6.44 (~node4(s27)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1764, 16, 32575])).
% 8.62/6.44 tff(32710,plain,
% 8.62/6.44 (xuntil6(s27) | (~until5(s27))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1771, 352, 32709])).
% 8.62/6.44 tff(32711,plain,
% 8.62/6.44 (xuntil6(s27)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32710, 32708])).
% 8.62/6.44 tff(32712,plain,
% 8.62/6.44 (until5(s28)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1751, 32711])).
% 8.62/6.44 tff(32713,plain,
% 8.62/6.44 (~node4(s28)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1735, 16, 32574])).
% 8.62/6.44 tff(32714,plain,
% 8.62/6.44 (xuntil6(s28) | (~until5(s28))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1742, 352, 32713])).
% 8.62/6.44 tff(32715,plain,
% 8.62/6.44 (xuntil6(s28)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32714, 32712])).
% 8.62/6.44 tff(32716,plain,
% 8.62/6.44 (until5(s29)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1722, 32715])).
% 8.62/6.44 tff(32717,plain,
% 8.62/6.44 (~node4(s29)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1706, 16, 32573])).
% 8.62/6.44 tff(32718,plain,
% 8.62/6.44 (xuntil6(s29) | (~until5(s29))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1713, 352, 32717])).
% 8.62/6.44 tff(32719,plain,
% 8.62/6.44 (xuntil6(s29)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32718, 32716])).
% 8.62/6.44 tff(32720,plain,
% 8.62/6.44 (until5(s30)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1693, 32719])).
% 8.62/6.44 tff(32721,plain,
% 8.62/6.44 (~node4(s30)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[19, 16, 32572])).
% 8.62/6.44 tff(32722,plain,
% 8.62/6.44 (xuntil6(s30) | (~until5(s30))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1684, 352, 32721])).
% 8.62/6.44 tff(32723,plain,
% 8.62/6.44 (xuntil6(s30)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32722, 32720])).
% 8.62/6.44 tff(32724,plain,
% 8.62/6.44 (until5(s31)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1675, 32723])).
% 8.62/6.44 tff(32725,plain,
% 8.62/6.44 (~node4(s31)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1595, 16, 32571])).
% 8.62/6.44 tff(32726,plain,
% 8.62/6.44 (xuntil6(s31) | (~until5(s31))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1670, 352, 32725])).
% 8.62/6.44 tff(32727,plain,
% 8.62/6.44 (xuntil6(s31)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32726, 32724])).
% 8.62/6.44 tff(32728,plain,
% 8.62/6.44 (until5(s32)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1663, 32727])).
% 8.62/6.44 tff(32729,plain,
% 8.62/6.44 (~node4(s32)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1621, 16, 32570])).
% 8.62/6.44 tff(32730,plain,
% 8.62/6.44 (xuntil6(s32) | (~until5(s32))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1657, 352, 32729])).
% 8.62/6.44 tff(32731,plain,
% 8.62/6.44 (xuntil6(s32)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32730, 32728])).
% 8.62/6.44 tff(32732,plain,
% 8.62/6.44 (until5(s33)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1612, 32731])).
% 8.62/6.44 tff(32733,plain,
% 8.62/6.44 (~node4(s33)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1599, 16, 32569])).
% 8.62/6.44 tff(32734,plain,
% 8.62/6.44 (xuntil6(s33) | (~until5(s33))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[1606, 352, 32733])).
% 8.62/6.44 tff(32735,plain,
% 8.62/6.44 (xuntil6(s33)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32734, 32732])).
% 8.62/6.44 tff(32736,plain,
% 8.62/6.44 (until5(s34)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2656, 32735])).
% 8.62/6.44 tff(32737,plain,
% 8.62/6.44 (~node4(s34)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2687, 16, 32568])).
% 8.62/6.44 tff(32738,plain,
% 8.62/6.44 (xuntil6(s34) | (~until5(s34))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2694, 352, 32737])).
% 8.62/6.44 tff(32739,plain,
% 8.62/6.44 (xuntil6(s34)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32738, 32736])).
% 8.62/6.44 tff(32740,plain,
% 8.62/6.44 (until5(s35)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2700, 32739])).
% 8.62/6.44 tff(32741,plain,
% 8.62/6.44 (~node4(s35)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2663, 16, 32567])).
% 8.62/6.44 tff(32742,plain,
% 8.62/6.44 (xuntil6(s35) | (~until5(s35))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2670, 352, 32741])).
% 8.62/6.44 tff(32743,plain,
% 8.62/6.44 (xuntil6(s35)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32742, 32740])).
% 8.62/6.44 tff(32744,plain,
% 8.62/6.44 (until5(s36)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2774, 32743])).
% 8.62/6.44 tff(32745,plain,
% 8.62/6.44 (~node4(s36)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2806, 16, 32566])).
% 8.62/6.44 tff(32746,plain,
% 8.62/6.44 (xuntil6(s36) | (~until5(s36))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2824, 352, 32745])).
% 8.62/6.44 tff(32747,plain,
% 8.62/6.44 (xuntil6(s36)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32746, 32744])).
% 8.62/6.44 tff(32748,plain,
% 8.62/6.44 (until5(s37)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2817, 32747])).
% 8.62/6.44 tff(32749,plain,
% 8.62/6.44 (~node4(s37)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2810, 16, 32565])).
% 8.62/6.44 tff(32750,plain,
% 8.62/6.44 (xuntil6(s37) | (~until5(s37))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[2784, 352, 32749])).
% 8.62/6.44 tff(32751,plain,
% 8.62/6.44 (xuntil6(s37)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32750, 32748])).
% 8.62/6.44 tff(32752,plain,
% 8.62/6.44 (until5(s38)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3082, 32751])).
% 8.62/6.44 tff(32753,plain,
% 8.62/6.44 (~node4(s38)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3091, 16, 32564])).
% 8.62/6.44 tff(32754,plain,
% 8.62/6.44 (xuntil6(s38) | (~until5(s38))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3132, 352, 32753])).
% 8.62/6.44 tff(32755,plain,
% 8.62/6.44 (xuntil6(s38)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32754, 32752])).
% 8.62/6.44 tff(32756,plain,
% 8.62/6.44 (until5(s39)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3138, 32755])).
% 8.62/6.44 tff(32757,plain,
% 8.62/6.44 (~node4(s39)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3147, 16, 32563])).
% 8.62/6.44 tff(32758,plain,
% 8.62/6.44 (xuntil6(s39) | (~until5(s39))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3188, 352, 32757])).
% 8.62/6.44 tff(32759,plain,
% 8.62/6.44 (xuntil6(s39)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32758, 32756])).
% 8.62/6.44 tff(32760,plain,
% 8.62/6.44 (until5(s40)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3194, 32759])).
% 8.62/6.44 tff(32761,plain,
% 8.62/6.44 (~node4(s40)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3203, 16, 32562])).
% 8.62/6.44 tff(32762,plain,
% 8.62/6.44 (xuntil6(s40) | (~until5(s40))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3244, 352, 32761])).
% 8.62/6.44 tff(32763,plain,
% 8.62/6.44 (xuntil6(s40)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32762, 32760])).
% 8.62/6.44 tff(32764,plain,
% 8.62/6.44 (until5(s41)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3250, 32763])).
% 8.62/6.44 tff(32765,plain,
% 8.62/6.44 (~node4(s41)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3259, 16, 32561])).
% 8.62/6.44 tff(32766,plain,
% 8.62/6.44 (xuntil6(s41) | (~until5(s41))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3300, 352, 32765])).
% 8.62/6.44 tff(32767,plain,
% 8.62/6.44 (xuntil6(s41)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32766, 32764])).
% 8.62/6.44 tff(32768,plain,
% 8.62/6.44 (until5(s42)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3306, 32767])).
% 8.62/6.44 tff(32769,plain,
% 8.62/6.44 (~node4(s42)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3315, 16, 32560])).
% 8.62/6.44 tff(32770,plain,
% 8.62/6.44 (xuntil6(s42) | (~until5(s42))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3356, 352, 32769])).
% 8.62/6.44 tff(32771,plain,
% 8.62/6.44 (xuntil6(s42)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32770, 32768])).
% 8.62/6.44 tff(32772,plain,
% 8.62/6.44 (until5(s43)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3362, 32771])).
% 8.62/6.44 tff(32773,plain,
% 8.62/6.44 (~node4(s43)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3371, 16, 32559])).
% 8.62/6.44 tff(32774,plain,
% 8.62/6.44 (xuntil6(s43) | (~until5(s43))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3412, 352, 32773])).
% 8.62/6.44 tff(32775,plain,
% 8.62/6.44 (xuntil6(s43)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32774, 32772])).
% 8.62/6.44 tff(32776,plain,
% 8.62/6.44 (until5(s44)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3418, 32775])).
% 8.62/6.44 tff(32777,plain,
% 8.62/6.44 (~node4(s44)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3427, 16, 32558])).
% 8.62/6.44 tff(32778,plain,
% 8.62/6.44 (xuntil6(s44) | (~until5(s44))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3468, 352, 32777])).
% 8.62/6.44 tff(32779,plain,
% 8.62/6.44 (xuntil6(s44)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32778, 32776])).
% 8.62/6.44 tff(32780,plain,
% 8.62/6.44 (until5(s45)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3474, 32779])).
% 8.62/6.44 tff(32781,plain,
% 8.62/6.44 (~node4(s45)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3483, 16, 32557])).
% 8.62/6.44 tff(32782,plain,
% 8.62/6.44 (xuntil6(s45) | (~until5(s45))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3524, 352, 32781])).
% 8.62/6.44 tff(32783,plain,
% 8.62/6.44 (xuntil6(s45)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32782, 32780])).
% 8.62/6.44 tff(32784,plain,
% 8.62/6.44 (until5(s46)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3530, 32783])).
% 8.62/6.44 tff(32785,plain,
% 8.62/6.44 (~node4(s46)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3539, 16, 32556])).
% 8.62/6.44 tff(32786,plain,
% 8.62/6.44 (xuntil6(s46) | (~until5(s46))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3580, 352, 32785])).
% 8.62/6.44 tff(32787,plain,
% 8.62/6.44 (xuntil6(s46)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32786, 32784])).
% 8.62/6.44 tff(32788,plain,
% 8.62/6.44 (until5(s47)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3586, 32787])).
% 8.62/6.44 tff(32789,plain,
% 8.62/6.44 (~node4(s47)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3595, 16, 32555])).
% 8.62/6.44 tff(32790,plain,
% 8.62/6.44 (xuntil6(s47) | (~until5(s47))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3636, 352, 32789])).
% 8.62/6.44 tff(32791,plain,
% 8.62/6.44 (xuntil6(s47)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32790, 32788])).
% 8.62/6.44 tff(32792,plain,
% 8.62/6.44 (until5(s48)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3642, 32791])).
% 8.62/6.44 tff(32793,plain,
% 8.62/6.44 (~node4(s48)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3651, 16, 32554])).
% 8.62/6.44 tff(32794,plain,
% 8.62/6.44 (xuntil6(s48) | (~until5(s48))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3692, 352, 32793])).
% 8.62/6.44 tff(32795,plain,
% 8.62/6.44 (xuntil6(s48)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32794, 32792])).
% 8.62/6.44 tff(32796,plain,
% 8.62/6.44 (until5(s49)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3698, 32795])).
% 8.62/6.44 tff(32797,plain,
% 8.62/6.44 (~node4(s49)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3707, 16, 32553])).
% 8.62/6.44 tff(32798,plain,
% 8.62/6.44 (xuntil6(s49) | (~until5(s49))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3748, 352, 32797])).
% 8.62/6.44 tff(32799,plain,
% 8.62/6.44 (xuntil6(s49)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32798, 32796])).
% 8.62/6.44 tff(32800,plain,
% 8.62/6.44 (until5(s50)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3754, 32799])).
% 8.62/6.44 tff(32801,plain,
% 8.62/6.44 (~node4(s50)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3763, 16, 32552])).
% 8.62/6.44 tff(32802,plain,
% 8.62/6.44 (xuntil6(s50) | (~until5(s50))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3804, 352, 32801])).
% 8.62/6.44 tff(32803,plain,
% 8.62/6.44 (xuntil6(s50)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32802, 32800])).
% 8.62/6.44 tff(32804,plain,
% 8.62/6.44 (until5(s51)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3810, 32803])).
% 8.62/6.44 tff(32805,plain,
% 8.62/6.44 (~node4(s51)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3819, 16, 32551])).
% 8.62/6.44 tff(32806,plain,
% 8.62/6.44 (xuntil6(s51) | (~until5(s51))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3860, 352, 32805])).
% 8.62/6.44 tff(32807,plain,
% 8.62/6.44 (xuntil6(s51)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32806, 32804])).
% 8.62/6.44 tff(32808,plain,
% 8.62/6.44 (until5(s52)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3866, 32807])).
% 8.62/6.44 tff(32809,plain,
% 8.62/6.44 (~node4(s52)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3875, 16, 32550])).
% 8.62/6.44 tff(32810,plain,
% 8.62/6.44 (xuntil6(s52) | (~until5(s52))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3916, 352, 32809])).
% 8.62/6.44 tff(32811,plain,
% 8.62/6.44 (xuntil6(s52)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32810, 32808])).
% 8.62/6.44 tff(32812,plain,
% 8.62/6.44 (until5(s53)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3922, 32811])).
% 8.62/6.44 tff(32813,plain,
% 8.62/6.44 (~node4(s53)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3931, 16, 32549])).
% 8.62/6.44 tff(32814,plain,
% 8.62/6.44 (xuntil6(s53) | (~until5(s53))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3972, 352, 32813])).
% 8.62/6.44 tff(32815,plain,
% 8.62/6.44 (xuntil6(s53)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32814, 32812])).
% 8.62/6.44 tff(32816,plain,
% 8.62/6.44 (until5(s54)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3978, 32815])).
% 8.62/6.44 tff(32817,plain,
% 8.62/6.44 (~node4(s54)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[3987, 16, 32548])).
% 8.62/6.44 tff(32818,plain,
% 8.62/6.44 (xuntil6(s54) | (~until5(s54))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4028, 352, 32817])).
% 8.62/6.44 tff(32819,plain,
% 8.62/6.44 (xuntil6(s54)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32818, 32816])).
% 8.62/6.44 tff(32820,plain,
% 8.62/6.44 (until5(s55)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4034, 32819])).
% 8.62/6.44 tff(32821,plain,
% 8.62/6.44 (~node4(s55)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4043, 16, 32547])).
% 8.62/6.44 tff(32822,plain,
% 8.62/6.44 (xuntil6(s55) | (~until5(s55))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4084, 352, 32821])).
% 8.62/6.44 tff(32823,plain,
% 8.62/6.44 (xuntil6(s55)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32822, 32820])).
% 8.62/6.44 tff(32824,plain,
% 8.62/6.44 (until5(s56)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4090, 32823])).
% 8.62/6.44 tff(32825,plain,
% 8.62/6.44 (~node4(s56)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4099, 16, 32546])).
% 8.62/6.44 tff(32826,plain,
% 8.62/6.44 (xuntil6(s56) | (~until5(s56))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4140, 352, 32825])).
% 8.62/6.44 tff(32827,plain,
% 8.62/6.44 (xuntil6(s56)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32826, 32824])).
% 8.62/6.44 tff(32828,plain,
% 8.62/6.44 (until5(s57)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4146, 32827])).
% 8.62/6.44 tff(32829,plain,
% 8.62/6.44 (~node4(s57)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4155, 16, 32545])).
% 8.62/6.44 tff(32830,plain,
% 8.62/6.44 (xuntil6(s57) | (~until5(s57))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4196, 352, 32829])).
% 8.62/6.44 tff(32831,plain,
% 8.62/6.44 (xuntil6(s57)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32830, 32828])).
% 8.62/6.44 tff(32832,plain,
% 8.62/6.44 (until5(s58)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4202, 32831])).
% 8.62/6.44 tff(32833,plain,
% 8.62/6.44 (~node4(s58)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4211, 16, 32544])).
% 8.62/6.44 tff(32834,plain,
% 8.62/6.44 (xuntil6(s58) | (~until5(s58))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4252, 352, 32833])).
% 8.62/6.44 tff(32835,plain,
% 8.62/6.44 (xuntil6(s58)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32834, 32832])).
% 8.62/6.44 tff(32836,plain,
% 8.62/6.44 (until5(s59)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4258, 32835])).
% 8.62/6.44 tff(32837,plain,
% 8.62/6.44 (xuntil6(s59) | (~until5(s59))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4308, 352, 28900])).
% 8.62/6.44 tff(32838,plain,
% 8.62/6.44 (xuntil6(s59)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32837, 32836])).
% 8.62/6.44 tff(32839,plain,
% 8.62/6.44 (until5(s60)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4314, 32838])).
% 8.62/6.44 tff(32840,plain,
% 8.62/6.44 (~node4(s60)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4323, 16, 32542])).
% 8.62/6.44 tff(32841,plain,
% 8.62/6.44 (xuntil6(s60) | (~until5(s60))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4364, 352, 32840])).
% 8.62/6.44 tff(32842,plain,
% 8.62/6.44 (xuntil6(s60)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32841, 32839])).
% 8.62/6.44 tff(32843,plain,
% 8.62/6.44 (until5(s61)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4370, 32842])).
% 8.62/6.44 tff(32844,plain,
% 8.62/6.44 (~node4(s61)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4379, 16, 32541])).
% 8.62/6.44 tff(32845,plain,
% 8.62/6.44 (xuntil6(s61) | (~until5(s61))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4420, 352, 32844])).
% 8.62/6.44 tff(32846,plain,
% 8.62/6.44 (xuntil6(s61)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32845, 32843])).
% 8.62/6.44 tff(32847,plain,
% 8.62/6.44 (until5(s62)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4426, 32846])).
% 8.62/6.44 tff(32848,plain,
% 8.62/6.44 (~node4(s62)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4435, 16, 32540])).
% 8.62/6.44 tff(32849,plain,
% 8.62/6.44 (xuntil6(s62) | (~until5(s62))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4476, 352, 32848])).
% 8.62/6.44 tff(32850,plain,
% 8.62/6.44 (xuntil6(s62)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32849, 32847])).
% 8.62/6.44 tff(32851,plain,
% 8.62/6.44 (until5(s63)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4482, 32850])).
% 8.62/6.44 tff(32852,plain,
% 8.62/6.44 (~node4(s63)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4491, 16, 32539])).
% 8.62/6.44 tff(32853,plain,
% 8.62/6.44 (xuntil6(s63) | (~until5(s63))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4532, 352, 32852])).
% 8.62/6.44 tff(32854,plain,
% 8.62/6.44 (xuntil6(s63)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32853, 32851])).
% 8.62/6.44 tff(32855,plain,
% 8.62/6.44 (until5(s64)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4538, 32854])).
% 8.62/6.44 tff(32856,plain,
% 8.62/6.44 (~node4(s64)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4547, 16, 32538])).
% 8.62/6.44 tff(32857,plain,
% 8.62/6.44 (xuntil6(s64) | (~until5(s64))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4588, 352, 32856])).
% 8.62/6.44 tff(32858,plain,
% 8.62/6.44 (xuntil6(s64)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32857, 32855])).
% 8.62/6.44 tff(32859,plain,
% 8.62/6.44 (until5(s65)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4594, 32858])).
% 8.62/6.44 tff(32860,plain,
% 8.62/6.44 (~node4(s65)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4603, 16, 32537])).
% 8.62/6.44 tff(32861,plain,
% 8.62/6.44 (xuntil6(s65) | (~until5(s65))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4644, 352, 32860])).
% 8.62/6.44 tff(32862,plain,
% 8.62/6.44 (xuntil6(s65)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32861, 32859])).
% 8.62/6.44 tff(32863,plain,
% 8.62/6.44 (until5(s66)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4650, 32862])).
% 8.62/6.44 tff(32864,plain,
% 8.62/6.44 (~node4(s66)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4659, 16, 32536])).
% 8.62/6.44 tff(32865,plain,
% 8.62/6.44 (xuntil6(s66) | (~until5(s66))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4700, 352, 32864])).
% 8.62/6.44 tff(32866,plain,
% 8.62/6.44 (xuntil6(s66)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32865, 32863])).
% 8.62/6.44 tff(32867,plain,
% 8.62/6.44 (until5(s67)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4706, 32866])).
% 8.62/6.44 tff(32868,plain,
% 8.62/6.44 (~node4(s67)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4715, 16, 32535])).
% 8.62/6.44 tff(32869,plain,
% 8.62/6.44 (xuntil6(s67) | (~until5(s67))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4756, 352, 32868])).
% 8.62/6.44 tff(32870,plain,
% 8.62/6.44 (xuntil6(s67)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32869, 32867])).
% 8.62/6.44 tff(32871,plain,
% 8.62/6.44 (until5(s68)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4762, 32870])).
% 8.62/6.44 tff(32872,plain,
% 8.62/6.44 (~node4(s68)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4771, 16, 32534])).
% 8.62/6.44 tff(32873,plain,
% 8.62/6.44 (xuntil6(s68) | (~until5(s68))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4812, 352, 32872])).
% 8.62/6.44 tff(32874,plain,
% 8.62/6.44 (xuntil6(s68)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32873, 32871])).
% 8.62/6.44 tff(32875,plain,
% 8.62/6.44 (until5(s69)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4818, 32874])).
% 8.62/6.44 tff(32876,plain,
% 8.62/6.44 (~node4(s69)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4827, 16, 32533])).
% 8.62/6.44 tff(32877,plain,
% 8.62/6.44 (xuntil6(s69) | (~until5(s69))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4868, 352, 32876])).
% 8.62/6.44 tff(32878,plain,
% 8.62/6.44 (xuntil6(s69)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32877, 32875])).
% 8.62/6.44 tff(32879,plain,
% 8.62/6.44 (until5(s70)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4874, 32878])).
% 8.62/6.44 tff(32880,plain,
% 8.62/6.44 (~node4(s70)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4883, 16, 32532])).
% 8.62/6.44 tff(32881,plain,
% 8.62/6.44 (xuntil6(s70) | (~until5(s70))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4924, 352, 32880])).
% 8.62/6.44 tff(32882,plain,
% 8.62/6.44 (xuntil6(s70)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32881, 32879])).
% 8.62/6.44 tff(32883,plain,
% 8.62/6.44 (until5(s71)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4930, 32882])).
% 8.62/6.44 tff(32884,plain,
% 8.62/6.44 (~node4(s71)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4939, 16, 32531])).
% 8.62/6.44 tff(32885,plain,
% 8.62/6.44 (xuntil6(s71) | (~until5(s71))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4980, 352, 32884])).
% 8.62/6.44 tff(32886,plain,
% 8.62/6.44 (xuntil6(s71)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32885, 32883])).
% 8.62/6.44 tff(32887,plain,
% 8.62/6.44 (until5(s72)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4986, 32886])).
% 8.62/6.44 tff(32888,plain,
% 8.62/6.44 (~node4(s72)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[4995, 16, 32530])).
% 8.62/6.44 tff(32889,plain,
% 8.62/6.44 (xuntil6(s72) | (~until5(s72))),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5036, 352, 32888])).
% 8.62/6.44 tff(32890,plain,
% 8.62/6.44 (xuntil6(s72)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[32889, 32887])).
% 8.62/6.44 tff(32891,plain,
% 8.62/6.44 (until5(s73)),
% 8.62/6.44 inference(unit_resolution,[status(thm)],[5042, 32890])).
% 8.62/6.45 tff(32892,plain,
% 8.62/6.45 (~node4(s73)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5051, 16, 32529])).
% 8.62/6.45 tff(32893,plain,
% 8.62/6.45 (xuntil6(s73) | (~until5(s73))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5092, 352, 32892])).
% 8.62/6.45 tff(32894,plain,
% 8.62/6.45 (xuntil6(s73)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32893, 32891])).
% 8.62/6.45 tff(32895,plain,
% 8.62/6.45 (until5(s74)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5098, 32894])).
% 8.62/6.45 tff(32896,plain,
% 8.62/6.45 (~node4(s74)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5107, 16, 32528])).
% 8.62/6.45 tff(32897,plain,
% 8.62/6.45 (xuntil6(s74) | (~until5(s74))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5148, 352, 32896])).
% 8.62/6.45 tff(32898,plain,
% 8.62/6.45 (xuntil6(s74)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32897, 32895])).
% 8.62/6.45 tff(32899,plain,
% 8.62/6.45 (until5(s75)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5154, 32898])).
% 8.62/6.45 tff(32900,plain,
% 8.62/6.45 (~node4(s75)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5163, 16, 32527])).
% 8.62/6.45 tff(32901,plain,
% 8.62/6.45 (xuntil6(s75) | (~until5(s75))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5204, 352, 32900])).
% 8.62/6.45 tff(32902,plain,
% 8.62/6.45 (xuntil6(s75)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32901, 32899])).
% 8.62/6.45 tff(32903,plain,
% 8.62/6.45 (until5(s76)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5210, 32902])).
% 8.62/6.45 tff(32904,plain,
% 8.62/6.45 (~node4(s76)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5219, 16, 32526])).
% 8.62/6.45 tff(32905,plain,
% 8.62/6.45 (xuntil6(s76) | (~until5(s76))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5260, 352, 32904])).
% 8.62/6.45 tff(32906,plain,
% 8.62/6.45 (xuntil6(s76)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32905, 32903])).
% 8.62/6.45 tff(32907,plain,
% 8.62/6.45 (until5(s77)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5266, 32906])).
% 8.62/6.45 tff(32908,plain,
% 8.62/6.45 (~node4(s77)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5275, 16, 32525])).
% 8.62/6.45 tff(32909,plain,
% 8.62/6.45 (xuntil6(s77) | (~until5(s77))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5316, 352, 32908])).
% 8.62/6.45 tff(32910,plain,
% 8.62/6.45 (xuntil6(s77)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32909, 32907])).
% 8.62/6.45 tff(32911,plain,
% 8.62/6.45 (until5(s78)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5322, 32910])).
% 8.62/6.45 tff(32912,plain,
% 8.62/6.45 (~node4(s78)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5331, 16, 32524])).
% 8.62/6.45 tff(32913,plain,
% 8.62/6.45 (xuntil6(s78) | (~until5(s78))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5372, 352, 32912])).
% 8.62/6.45 tff(32914,plain,
% 8.62/6.45 (xuntil6(s78)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32913, 32911])).
% 8.62/6.45 tff(32915,plain,
% 8.62/6.45 (until5(s79)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5378, 32914])).
% 8.62/6.45 tff(32916,plain,
% 8.62/6.45 (~node4(s79)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5387, 16, 32523])).
% 8.62/6.45 tff(32917,plain,
% 8.62/6.45 (xuntil6(s79) | (~until5(s79))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5428, 352, 32916])).
% 8.62/6.45 tff(32918,plain,
% 8.62/6.45 (xuntil6(s79)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32917, 32915])).
% 8.62/6.45 tff(32919,plain,
% 8.62/6.45 (until5(s80)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5434, 32918])).
% 8.62/6.45 tff(32920,plain,
% 8.62/6.45 (~node4(s80)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5443, 16, 32522])).
% 8.62/6.45 tff(32921,plain,
% 8.62/6.45 (xuntil6(s80) | (~until5(s80))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5484, 352, 32920])).
% 8.62/6.45 tff(32922,plain,
% 8.62/6.45 (xuntil6(s80)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32921, 32919])).
% 8.62/6.45 tff(32923,plain,
% 8.62/6.45 (until5(s81)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5490, 32922])).
% 8.62/6.45 tff(32924,plain,
% 8.62/6.45 (~node4(s81)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5499, 16, 32521])).
% 8.62/6.45 tff(32925,plain,
% 8.62/6.45 (xuntil6(s81) | (~until5(s81))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5540, 352, 32924])).
% 8.62/6.45 tff(32926,plain,
% 8.62/6.45 (xuntil6(s81)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32925, 32923])).
% 8.62/6.45 tff(32927,plain,
% 8.62/6.45 (until5(s82)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5546, 32926])).
% 8.62/6.45 tff(32928,plain,
% 8.62/6.45 (~node4(s82)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5555, 16, 32520])).
% 8.62/6.45 tff(32929,plain,
% 8.62/6.45 (xuntil6(s82) | (~until5(s82))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5596, 352, 32928])).
% 8.62/6.45 tff(32930,plain,
% 8.62/6.45 (xuntil6(s82)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32929, 32927])).
% 8.62/6.45 tff(32931,plain,
% 8.62/6.45 (until5(s83)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5602, 32930])).
% 8.62/6.45 tff(32932,plain,
% 8.62/6.45 (~node4(s83)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5611, 16, 32519])).
% 8.62/6.45 tff(32933,plain,
% 8.62/6.45 (xuntil6(s83) | (~until5(s83))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5652, 352, 32932])).
% 8.62/6.45 tff(32934,plain,
% 8.62/6.45 (xuntil6(s83)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32933, 32931])).
% 8.62/6.45 tff(32935,plain,
% 8.62/6.45 (until5(s84)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5658, 32934])).
% 8.62/6.45 tff(32936,plain,
% 8.62/6.45 (~node4(s84)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5667, 16, 32518])).
% 8.62/6.45 tff(32937,plain,
% 8.62/6.45 (xuntil6(s84) | (~until5(s84))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5708, 352, 32936])).
% 8.62/6.45 tff(32938,plain,
% 8.62/6.45 (xuntil6(s84)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32937, 32935])).
% 8.62/6.45 tff(32939,plain,
% 8.62/6.45 (until5(s85)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5714, 32938])).
% 8.62/6.45 tff(32940,plain,
% 8.62/6.45 (~node4(s85)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5723, 16, 32517])).
% 8.62/6.45 tff(32941,plain,
% 8.62/6.45 (xuntil6(s85) | (~until5(s85))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5758, 352, 32940])).
% 8.62/6.45 tff(32942,plain,
% 8.62/6.45 (xuntil6(s85)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32941, 32939])).
% 8.62/6.45 tff(32943,plain,
% 8.62/6.45 (until5(s86)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5764, 32942])).
% 8.62/6.45 tff(32944,plain,
% 8.62/6.45 (~node4(s86)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[126, 16, 32516])).
% 8.62/6.45 tff(32945,plain,
% 8.62/6.45 (xuntil6(s86) | (~until5(s86))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5785, 352, 32944])).
% 8.62/6.45 tff(32946,plain,
% 8.62/6.45 (xuntil6(s86)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32945, 32943])).
% 8.62/6.45 tff(32947,plain,
% 8.62/6.45 (until5(s87)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5972, 32946])).
% 8.62/6.45 tff(32948,plain,
% 8.62/6.45 (~node4(s87)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[5981, 16, 32515])).
% 8.62/6.45 tff(32949,plain,
% 8.62/6.45 (xuntil6(s87) | (~until5(s87))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6022, 352, 32948])).
% 8.62/6.45 tff(32950,plain,
% 8.62/6.45 (xuntil6(s87)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32949, 32947])).
% 8.62/6.45 tff(32951,plain,
% 8.62/6.45 (until5(s88)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6028, 32950])).
% 8.62/6.45 tff(32952,plain,
% 8.62/6.45 (~node4(s88)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6037, 16, 32514])).
% 8.62/6.45 tff(32953,plain,
% 8.62/6.45 (xuntil6(s88) | (~until5(s88))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6078, 352, 32952])).
% 8.62/6.45 tff(32954,plain,
% 8.62/6.45 (xuntil6(s88)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32953, 32951])).
% 8.62/6.45 tff(32955,plain,
% 8.62/6.45 (until5(s89)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6084, 32954])).
% 8.62/6.45 tff(32956,plain,
% 8.62/6.45 (~node4(s89)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6093, 16, 32513])).
% 8.62/6.45 tff(32957,plain,
% 8.62/6.45 (xuntil6(s89) | (~until5(s89))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6134, 352, 32956])).
% 8.62/6.45 tff(32958,plain,
% 8.62/6.45 (xuntil6(s89)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32957, 32955])).
% 8.62/6.45 tff(32959,plain,
% 8.62/6.45 (until5(s90)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6140, 32958])).
% 8.62/6.45 tff(32960,plain,
% 8.62/6.45 (~node4(s90)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6226, 16, 32512])).
% 8.62/6.45 tff(32961,plain,
% 8.62/6.45 (xuntil6(s90) | (~until5(s90))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6251, 352, 32960])).
% 8.62/6.45 tff(32962,plain,
% 8.62/6.45 (xuntil6(s90)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32961, 32959])).
% 8.62/6.45 tff(32963,plain,
% 8.62/6.45 (until5(s91)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6244, 32962])).
% 8.62/6.45 tff(32964,plain,
% 8.62/6.45 (~node4(s91)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6230, 16, 32511])).
% 8.62/6.45 tff(32965,plain,
% 8.62/6.45 (xuntil6(s91) | (~until5(s91))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6238, 352, 32964])).
% 8.62/6.45 tff(32966,plain,
% 8.62/6.45 (xuntil6(s91)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32965, 32963])).
% 8.62/6.45 tff(32967,plain,
% 8.62/6.45 (until5(s92)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6209, 32966])).
% 8.62/6.45 tff(32968,plain,
% 8.62/6.45 (~node4(s92)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6146, 16, 32510])).
% 8.62/6.45 tff(32969,plain,
% 8.62/6.45 (xuntil6(s92) | (~until5(s92))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6201, 352, 32968])).
% 8.62/6.45 tff(32970,plain,
% 8.62/6.45 (xuntil6(s92)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32969, 32967])).
% 8.62/6.45 tff(32971,plain,
% 8.62/6.45 (until5(s93)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6577, 32970])).
% 8.62/6.45 tff(32972,plain,
% 8.62/6.45 (~node4(s93)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6586, 16, 32509])).
% 8.62/6.45 tff(32973,plain,
% 8.62/6.45 (xuntil6(s93) | (~until5(s93))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6627, 352, 32972])).
% 8.62/6.45 tff(32974,plain,
% 8.62/6.45 (xuntil6(s93)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32973, 32971])).
% 8.62/6.45 tff(32975,plain,
% 8.62/6.45 (until5(s94)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6633, 32974])).
% 8.62/6.45 tff(32976,plain,
% 8.62/6.45 (~node4(s94)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6639, 16, 32508])).
% 8.62/6.45 tff(32977,plain,
% 8.62/6.45 (xuntil6(s94) | (~until5(s94))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6646, 352, 32976])).
% 8.62/6.45 tff(32978,plain,
% 8.62/6.45 (xuntil6(s94)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32977, 32975])).
% 8.62/6.45 tff(32979,plain,
% 8.62/6.45 (until5(s95)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6707, 32978])).
% 8.62/6.45 tff(32980,plain,
% 8.62/6.45 (~node4(s95)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6716, 16, 32507])).
% 8.62/6.45 tff(32981,plain,
% 8.62/6.45 (xuntil6(s95) | (~until5(s95))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6757, 352, 32980])).
% 8.62/6.45 tff(32982,plain,
% 8.62/6.45 (xuntil6(s95)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32981, 32979])).
% 8.62/6.45 tff(32983,plain,
% 8.62/6.45 (until5(s96)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6763, 32982])).
% 8.62/6.45 tff(32984,plain,
% 8.62/6.45 (~node4(s96)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6772, 16, 32506])).
% 8.62/6.45 tff(32985,plain,
% 8.62/6.45 (xuntil6(s96) | (~until5(s96))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6813, 352, 32984])).
% 8.62/6.45 tff(32986,plain,
% 8.62/6.45 (xuntil6(s96)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32985, 32983])).
% 8.62/6.45 tff(32987,plain,
% 8.62/6.45 (until5(s97)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6819, 32986])).
% 8.62/6.45 tff(32988,plain,
% 8.62/6.45 (~node4(s97)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6828, 16, 32505])).
% 8.62/6.45 tff(32989,plain,
% 8.62/6.45 (xuntil6(s97) | (~until5(s97))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6869, 352, 32988])).
% 8.62/6.45 tff(32990,plain,
% 8.62/6.45 (xuntil6(s97)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32989, 32987])).
% 8.62/6.45 tff(32991,plain,
% 8.62/6.45 (until5(s98)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6875, 32990])).
% 8.62/6.45 tff(32992,plain,
% 8.62/6.45 (~node4(s98)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6884, 16, 32504])).
% 8.62/6.45 tff(32993,plain,
% 8.62/6.45 (xuntil6(s98) | (~until5(s98))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6925, 352, 32992])).
% 8.62/6.45 tff(32994,plain,
% 8.62/6.45 (xuntil6(s98)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32993, 32991])).
% 8.62/6.45 tff(32995,plain,
% 8.62/6.45 (until5(s99)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6931, 32994])).
% 8.62/6.45 tff(32996,plain,
% 8.62/6.45 (~node4(s99)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6940, 16, 32503])).
% 8.62/6.45 tff(32997,plain,
% 8.62/6.45 (xuntil6(s99) | (~until5(s99))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6981, 352, 32996])).
% 8.62/6.45 tff(32998,plain,
% 8.62/6.45 (xuntil6(s99)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[32997, 32995])).
% 8.62/6.45 tff(32999,plain,
% 8.62/6.45 (until5(s100)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6987, 32998])).
% 8.62/6.45 tff(33000,plain,
% 8.62/6.45 (~node4(s100)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[6996, 16, 32502])).
% 8.62/6.45 tff(33001,plain,
% 8.62/6.45 (xuntil6(s100) | (~until5(s100))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7037, 352, 33000])).
% 8.62/6.45 tff(33002,plain,
% 8.62/6.45 (xuntil6(s100)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33001, 32999])).
% 8.62/6.45 tff(33003,plain,
% 8.62/6.45 (until5(s101)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7043, 33002])).
% 8.62/6.45 tff(33004,plain,
% 8.62/6.45 (~node4(s101)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7052, 16, 32501])).
% 8.62/6.45 tff(33005,plain,
% 8.62/6.45 (xuntil6(s101) | (~until5(s101))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7093, 352, 33004])).
% 8.62/6.45 tff(33006,plain,
% 8.62/6.45 (xuntil6(s101)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33005, 33003])).
% 8.62/6.45 tff(33007,plain,
% 8.62/6.45 (until5(s102)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7099, 33006])).
% 8.62/6.45 tff(33008,plain,
% 8.62/6.45 (~node4(s102)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7108, 16, 32500])).
% 8.62/6.45 tff(33009,plain,
% 8.62/6.45 (xuntil6(s102) | (~until5(s102))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7149, 352, 33008])).
% 8.62/6.45 tff(33010,plain,
% 8.62/6.45 (xuntil6(s102)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33009, 33007])).
% 8.62/6.45 tff(33011,plain,
% 8.62/6.45 (until5(s103)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7155, 33010])).
% 8.62/6.45 tff(33012,plain,
% 8.62/6.45 (~node4(s103)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7173, 16, 32499])).
% 8.62/6.45 tff(33013,plain,
% 8.62/6.45 (xuntil6(s103) | (~until5(s103))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7197, 352, 33012])).
% 8.62/6.45 tff(33014,plain,
% 8.62/6.45 (xuntil6(s103)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33013, 33011])).
% 8.62/6.45 tff(33015,plain,
% 8.62/6.45 (until5(s104)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7190, 33014])).
% 8.62/6.45 tff(33016,plain,
% 8.62/6.45 (~node4(s104)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7177, 16, 32498])).
% 8.62/6.45 tff(33017,plain,
% 8.62/6.45 (xuntil6(s104) | (~until5(s104))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7184, 352, 33016])).
% 8.62/6.45 tff(33018,plain,
% 8.62/6.45 (xuntil6(s104)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33017, 33015])).
% 8.62/6.45 tff(33019,plain,
% 8.62/6.45 (until5(s105)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7316, 33018])).
% 8.62/6.45 tff(33020,plain,
% 8.62/6.45 (~node4(s105)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7325, 16, 32497])).
% 8.62/6.45 tff(33021,plain,
% 8.62/6.45 (xuntil6(s105) | (~until5(s105))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7366, 352, 33020])).
% 8.62/6.45 tff(33022,plain,
% 8.62/6.45 (xuntil6(s105)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33021, 33019])).
% 8.62/6.45 tff(33023,plain,
% 8.62/6.45 (until5(s106)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7372, 33022])).
% 8.62/6.45 tff(33024,plain,
% 8.62/6.45 (~node4(s106)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7381, 16, 32496])).
% 8.62/6.45 tff(33025,plain,
% 8.62/6.45 (xuntil6(s106) | (~until5(s106))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7422, 352, 33024])).
% 8.62/6.45 tff(33026,plain,
% 8.62/6.45 (xuntil6(s106)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33025, 33023])).
% 8.62/6.45 tff(33027,plain,
% 8.62/6.45 (until5(s107)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7428, 33026])).
% 8.62/6.45 tff(33028,plain,
% 8.62/6.45 (~node4(s107)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7437, 16, 32495])).
% 8.62/6.45 tff(33029,plain,
% 8.62/6.45 (xuntil6(s107) | (~until5(s107))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7478, 352, 33028])).
% 8.62/6.45 tff(33030,plain,
% 8.62/6.45 (xuntil6(s107)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33029, 33027])).
% 8.62/6.45 tff(33031,plain,
% 8.62/6.45 (until5(s108)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7484, 33030])).
% 8.62/6.45 tff(33032,plain,
% 8.62/6.45 (~node4(s108)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7493, 16, 32494])).
% 8.62/6.45 tff(33033,plain,
% 8.62/6.45 (xuntil6(s108) | (~until5(s108))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7534, 352, 33032])).
% 8.62/6.45 tff(33034,plain,
% 8.62/6.45 (xuntil6(s108)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33033, 33031])).
% 8.62/6.45 tff(33035,plain,
% 8.62/6.45 (until5(s109)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7540, 33034])).
% 8.62/6.45 tff(33036,plain,
% 8.62/6.45 (~node4(s109)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7549, 16, 32493])).
% 8.62/6.45 tff(33037,plain,
% 8.62/6.45 (xuntil6(s109) | (~until5(s109))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7590, 352, 33036])).
% 8.62/6.45 tff(33038,plain,
% 8.62/6.45 (xuntil6(s109)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33037, 33035])).
% 8.62/6.45 tff(33039,plain,
% 8.62/6.45 (until5(s110)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7596, 33038])).
% 8.62/6.45 tff(33040,plain,
% 8.62/6.45 (~node4(s110)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7605, 16, 32492])).
% 8.62/6.45 tff(33041,plain,
% 8.62/6.45 (xuntil6(s110) | (~until5(s110))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7646, 352, 33040])).
% 8.62/6.45 tff(33042,plain,
% 8.62/6.45 (xuntil6(s110)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33041, 33039])).
% 8.62/6.45 tff(33043,plain,
% 8.62/6.45 (until5(s111)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7652, 33042])).
% 8.62/6.45 tff(33044,plain,
% 8.62/6.45 (~node4(s111)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7661, 16, 32491])).
% 8.62/6.45 tff(33045,plain,
% 8.62/6.45 (xuntil6(s111) | (~until5(s111))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7702, 352, 33044])).
% 8.62/6.45 tff(33046,plain,
% 8.62/6.45 (xuntil6(s111)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33045, 33043])).
% 8.62/6.45 tff(33047,plain,
% 8.62/6.45 (until5(s112)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7708, 33046])).
% 8.62/6.45 tff(33048,plain,
% 8.62/6.45 (~node4(s112)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7734, 16, 32490])).
% 8.62/6.45 tff(33049,plain,
% 8.62/6.45 (xuntil6(s112) | (~until5(s112))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7785, 352, 33048])).
% 8.62/6.45 tff(33050,plain,
% 8.62/6.45 (xuntil6(s112)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33049, 33047])).
% 8.62/6.45 tff(33051,plain,
% 8.62/6.45 (until5(s113)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7791, 33050])).
% 8.62/6.45 tff(33052,plain,
% 8.62/6.45 (~node4(s113)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7800, 16, 32489])).
% 8.62/6.45 tff(33053,plain,
% 8.62/6.45 (xuntil6(s113) | (~until5(s113))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7841, 352, 33052])).
% 8.62/6.45 tff(33054,plain,
% 8.62/6.45 (xuntil6(s113)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33053, 33051])).
% 8.62/6.45 tff(33055,plain,
% 8.62/6.45 (until5(s114)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7847, 33054])).
% 8.62/6.45 tff(33056,plain,
% 8.62/6.45 (~node4(s114)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7856, 16, 32488])).
% 8.62/6.45 tff(33057,plain,
% 8.62/6.45 (xuntil6(s114) | (~until5(s114))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7897, 352, 33056])).
% 8.62/6.45 tff(33058,plain,
% 8.62/6.45 (xuntil6(s114)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33057, 33055])).
% 8.62/6.45 tff(33059,plain,
% 8.62/6.45 (until5(s115)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7903, 33058])).
% 8.62/6.45 tff(33060,plain,
% 8.62/6.45 (~node4(s115)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7912, 16, 32487])).
% 8.62/6.45 tff(33061,plain,
% 8.62/6.45 (xuntil6(s115) | (~until5(s115))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7953, 352, 33060])).
% 8.62/6.45 tff(33062,plain,
% 8.62/6.45 (xuntil6(s115)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33061, 33059])).
% 8.62/6.45 tff(33063,plain,
% 8.62/6.45 (until5(s116)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7959, 33062])).
% 8.62/6.45 tff(33064,plain,
% 8.62/6.45 (~node4(s116)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[7968, 16, 32486])).
% 8.62/6.45 tff(33065,plain,
% 8.62/6.45 (xuntil6(s116) | (~until5(s116))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8009, 352, 33064])).
% 8.62/6.45 tff(33066,plain,
% 8.62/6.45 (xuntil6(s116)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33065, 33063])).
% 8.62/6.45 tff(33067,plain,
% 8.62/6.45 (until5(s117)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8015, 33066])).
% 8.62/6.45 tff(33068,plain,
% 8.62/6.45 (~node4(s117)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8024, 16, 32485])).
% 8.62/6.45 tff(33069,plain,
% 8.62/6.45 (xuntil6(s117) | (~until5(s117))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8065, 352, 33068])).
% 8.62/6.45 tff(33070,plain,
% 8.62/6.45 (xuntil6(s117)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33069, 33067])).
% 8.62/6.45 tff(33071,plain,
% 8.62/6.45 (until5(s118)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8071, 33070])).
% 8.62/6.45 tff(33072,plain,
% 8.62/6.45 (~node4(s118)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8080, 16, 32484])).
% 8.62/6.45 tff(33073,plain,
% 8.62/6.45 (xuntil6(s118) | (~until5(s118))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8121, 352, 33072])).
% 8.62/6.45 tff(33074,plain,
% 8.62/6.45 (xuntil6(s118)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33073, 33071])).
% 8.62/6.45 tff(33075,plain,
% 8.62/6.45 (until5(s119)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8127, 33074])).
% 8.62/6.45 tff(33076,plain,
% 8.62/6.45 (~node4(s119)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8136, 16, 32483])).
% 8.62/6.45 tff(33077,plain,
% 8.62/6.45 (xuntil6(s119) | (~until5(s119))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8177, 352, 33076])).
% 8.62/6.45 tff(33078,plain,
% 8.62/6.45 (xuntil6(s119)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33077, 33075])).
% 8.62/6.45 tff(33079,plain,
% 8.62/6.45 (until5(s120)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8183, 33078])).
% 8.62/6.45 tff(33080,plain,
% 8.62/6.45 (~node4(s120)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8192, 16, 32482])).
% 8.62/6.45 tff(33081,plain,
% 8.62/6.45 (xuntil6(s120) | (~until5(s120))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8233, 352, 33080])).
% 8.62/6.45 tff(33082,plain,
% 8.62/6.45 (xuntil6(s120)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33081, 33079])).
% 8.62/6.45 tff(33083,plain,
% 8.62/6.45 (until5(s121)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8239, 33082])).
% 8.62/6.45 tff(33084,plain,
% 8.62/6.45 (~node4(s121)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8248, 16, 32481])).
% 8.62/6.45 tff(33085,plain,
% 8.62/6.45 (xuntil6(s121) | (~until5(s121))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8289, 352, 33084])).
% 8.62/6.45 tff(33086,plain,
% 8.62/6.45 (xuntil6(s121)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33085, 33083])).
% 8.62/6.45 tff(33087,plain,
% 8.62/6.45 (until5(s122)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8295, 33086])).
% 8.62/6.45 tff(33088,plain,
% 8.62/6.45 (~node4(s122)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8304, 16, 32480])).
% 8.62/6.45 tff(33089,plain,
% 8.62/6.45 (xuntil6(s122) | (~until5(s122))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8345, 352, 33088])).
% 8.62/6.45 tff(33090,plain,
% 8.62/6.45 (xuntil6(s122)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33089, 33087])).
% 8.62/6.45 tff(33091,plain,
% 8.62/6.45 (until5(s123)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8351, 33090])).
% 8.62/6.45 tff(33092,plain,
% 8.62/6.45 (~node4(s123)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8360, 16, 32479])).
% 8.62/6.45 tff(33093,plain,
% 8.62/6.45 (xuntil6(s123) | (~until5(s123))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8401, 352, 33092])).
% 8.62/6.45 tff(33094,plain,
% 8.62/6.45 (xuntil6(s123)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33093, 33091])).
% 8.62/6.45 tff(33095,plain,
% 8.62/6.45 (until5(s124)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8407, 33094])).
% 8.62/6.45 tff(33096,plain,
% 8.62/6.45 (~node4(s124)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8416, 16, 32478])).
% 8.62/6.45 tff(33097,plain,
% 8.62/6.45 (xuntil6(s124) | (~until5(s124))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8457, 352, 33096])).
% 8.62/6.45 tff(33098,plain,
% 8.62/6.45 (xuntil6(s124)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33097, 33095])).
% 8.62/6.45 tff(33099,plain,
% 8.62/6.45 (until5(s125)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8463, 33098])).
% 8.62/6.45 tff(33100,plain,
% 8.62/6.45 (~node4(s125)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8472, 16, 32477])).
% 8.62/6.45 tff(33101,plain,
% 8.62/6.45 (xuntil6(s125) | (~until5(s125))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8513, 352, 33100])).
% 8.62/6.45 tff(33102,plain,
% 8.62/6.45 (xuntil6(s125)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33101, 33099])).
% 8.62/6.45 tff(33103,plain,
% 8.62/6.45 (until5(s126)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8519, 33102])).
% 8.62/6.45 tff(33104,plain,
% 8.62/6.45 (~node4(s126)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8528, 16, 32476])).
% 8.62/6.45 tff(33105,plain,
% 8.62/6.45 (xuntil6(s126) | (~until5(s126))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8569, 352, 33104])).
% 8.62/6.45 tff(33106,plain,
% 8.62/6.45 (xuntil6(s126)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33105, 33103])).
% 8.62/6.45 tff(33107,plain,
% 8.62/6.45 (until5(s127)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8575, 33106])).
% 8.62/6.45 tff(33108,plain,
% 8.62/6.45 (~node4(s127)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8584, 16, 32475])).
% 8.62/6.45 tff(33109,plain,
% 8.62/6.45 (xuntil6(s127) | (~until5(s127))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8625, 352, 33108])).
% 8.62/6.45 tff(33110,plain,
% 8.62/6.45 (xuntil6(s127)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33109, 33107])).
% 8.62/6.45 tff(33111,plain,
% 8.62/6.45 (until5(s128)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8631, 33110])).
% 8.62/6.45 tff(33112,plain,
% 8.62/6.45 (~node4(s128)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8640, 16, 32474])).
% 8.62/6.45 tff(33113,plain,
% 8.62/6.45 (xuntil6(s128) | (~until5(s128))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8681, 352, 33112])).
% 8.62/6.45 tff(33114,plain,
% 8.62/6.45 (xuntil6(s128)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33113, 33111])).
% 8.62/6.45 tff(33115,plain,
% 8.62/6.45 (until5(s129)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8687, 33114])).
% 8.62/6.45 tff(33116,plain,
% 8.62/6.45 (~node4(s129)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8696, 16, 32473])).
% 8.62/6.45 tff(33117,plain,
% 8.62/6.45 (xuntil6(s129) | (~until5(s129))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8737, 352, 33116])).
% 8.62/6.45 tff(33118,plain,
% 8.62/6.45 (xuntil6(s129)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33117, 33115])).
% 8.62/6.45 tff(33119,plain,
% 8.62/6.45 (until5(s130)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8743, 33118])).
% 8.62/6.45 tff(33120,plain,
% 8.62/6.45 (~node4(s130)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8752, 16, 32472])).
% 8.62/6.45 tff(33121,plain,
% 8.62/6.45 (xuntil6(s130) | (~until5(s130))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8793, 352, 33120])).
% 8.62/6.45 tff(33122,plain,
% 8.62/6.45 (xuntil6(s130)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33121, 33119])).
% 8.62/6.45 tff(33123,plain,
% 8.62/6.45 (until5(s131)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8799, 33122])).
% 8.62/6.45 tff(33124,plain,
% 8.62/6.45 (~node4(s131)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8808, 16, 32471])).
% 8.62/6.45 tff(33125,plain,
% 8.62/6.45 (xuntil6(s131) | (~until5(s131))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8849, 352, 33124])).
% 8.62/6.45 tff(33126,plain,
% 8.62/6.45 (xuntil6(s131)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33125, 33123])).
% 8.62/6.45 tff(33127,plain,
% 8.62/6.45 (until5(s132)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8855, 33126])).
% 8.62/6.45 tff(33128,plain,
% 8.62/6.45 (~node4(s132)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8864, 16, 32470])).
% 8.62/6.45 tff(33129,plain,
% 8.62/6.45 (xuntil6(s132) | (~until5(s132))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8905, 352, 33128])).
% 8.62/6.45 tff(33130,plain,
% 8.62/6.45 (xuntil6(s132)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33129, 33127])).
% 8.62/6.45 tff(33131,plain,
% 8.62/6.45 (until5(s133)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8911, 33130])).
% 8.62/6.45 tff(33132,plain,
% 8.62/6.45 (~node4(s133)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8920, 16, 32469])).
% 8.62/6.45 tff(33133,plain,
% 8.62/6.45 (xuntil6(s133) | (~until5(s133))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8961, 352, 33132])).
% 8.62/6.45 tff(33134,plain,
% 8.62/6.45 (xuntil6(s133)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33133, 33131])).
% 8.62/6.45 tff(33135,plain,
% 8.62/6.45 (until5(s134)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8967, 33134])).
% 8.62/6.45 tff(33136,plain,
% 8.62/6.45 (~node4(s134)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[8976, 16, 32468])).
% 8.62/6.45 tff(33137,plain,
% 8.62/6.45 (xuntil6(s134) | (~until5(s134))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9017, 352, 33136])).
% 8.62/6.45 tff(33138,plain,
% 8.62/6.45 (xuntil6(s134)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33137, 33135])).
% 8.62/6.45 tff(33139,plain,
% 8.62/6.45 (until5(s135)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9023, 33138])).
% 8.62/6.45 tff(33140,plain,
% 8.62/6.45 (~node4(s135)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9032, 16, 32467])).
% 8.62/6.45 tff(33141,plain,
% 8.62/6.45 (xuntil6(s135) | (~until5(s135))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9073, 352, 33140])).
% 8.62/6.45 tff(33142,plain,
% 8.62/6.45 (xuntil6(s135)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33141, 33139])).
% 8.62/6.45 tff(33143,plain,
% 8.62/6.45 (until5(s136)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9079, 33142])).
% 8.62/6.45 tff(33144,plain,
% 8.62/6.45 (~node4(s136)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9088, 16, 32466])).
% 8.62/6.45 tff(33145,plain,
% 8.62/6.45 (xuntil6(s136) | (~until5(s136))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9146, 352, 33144])).
% 8.62/6.45 tff(33146,plain,
% 8.62/6.45 (xuntil6(s136)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33145, 33143])).
% 8.62/6.45 tff(33147,plain,
% 8.62/6.45 (until5(s137)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9152, 33146])).
% 8.62/6.45 tff(33148,plain,
% 8.62/6.45 (~node4(s137)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9161, 16, 32465])).
% 8.62/6.45 tff(33149,plain,
% 8.62/6.45 (xuntil6(s137) | (~until5(s137))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9202, 352, 33148])).
% 8.62/6.45 tff(33150,plain,
% 8.62/6.45 (xuntil6(s137)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33149, 33147])).
% 8.62/6.45 tff(33151,plain,
% 8.62/6.45 (until5(s138)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9208, 33150])).
% 8.62/6.45 tff(33152,plain,
% 8.62/6.45 (~node4(s138)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9217, 16, 32464])).
% 8.62/6.45 tff(33153,plain,
% 8.62/6.45 (xuntil6(s138) | (~until5(s138))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9258, 352, 33152])).
% 8.62/6.45 tff(33154,plain,
% 8.62/6.45 (xuntil6(s138)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33153, 33151])).
% 8.62/6.45 tff(33155,plain,
% 8.62/6.45 (until5(s139)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9264, 33154])).
% 8.62/6.45 tff(33156,plain,
% 8.62/6.45 (~node4(s139)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9273, 16, 32463])).
% 8.62/6.45 tff(33157,plain,
% 8.62/6.45 (xuntil6(s139) | (~until5(s139))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9314, 352, 33156])).
% 8.62/6.45 tff(33158,plain,
% 8.62/6.45 (xuntil6(s139)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33157, 33155])).
% 8.62/6.45 tff(33159,plain,
% 8.62/6.45 (until5(s140)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9320, 33158])).
% 8.62/6.45 tff(33160,plain,
% 8.62/6.45 (~node4(s140)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9329, 16, 32462])).
% 8.62/6.45 tff(33161,plain,
% 8.62/6.45 (xuntil6(s140) | (~until5(s140))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9370, 352, 33160])).
% 8.62/6.45 tff(33162,plain,
% 8.62/6.45 (xuntil6(s140)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33161, 33159])).
% 8.62/6.45 tff(33163,plain,
% 8.62/6.45 (until5(s141)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9376, 33162])).
% 8.62/6.45 tff(33164,plain,
% 8.62/6.45 (~node4(s141)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9385, 16, 32461])).
% 8.62/6.45 tff(33165,plain,
% 8.62/6.45 (xuntil6(s141) | (~until5(s141))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9426, 352, 33164])).
% 8.62/6.45 tff(33166,plain,
% 8.62/6.45 (xuntil6(s141)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33165, 33163])).
% 8.62/6.45 tff(33167,plain,
% 8.62/6.45 (until5(s142)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9432, 33166])).
% 8.62/6.45 tff(33168,plain,
% 8.62/6.45 (~node4(s142)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9441, 16, 32460])).
% 8.62/6.45 tff(33169,plain,
% 8.62/6.45 (xuntil6(s142) | (~until5(s142))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9482, 352, 33168])).
% 8.62/6.45 tff(33170,plain,
% 8.62/6.45 (xuntil6(s142)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33169, 33167])).
% 8.62/6.45 tff(33171,plain,
% 8.62/6.45 (until5(s143)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9488, 33170])).
% 8.62/6.45 tff(33172,plain,
% 8.62/6.45 (~node4(s143)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9497, 16, 32459])).
% 8.62/6.45 tff(33173,plain,
% 8.62/6.45 (xuntil6(s143) | (~until5(s143))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9538, 352, 33172])).
% 8.62/6.45 tff(33174,plain,
% 8.62/6.45 (xuntil6(s143)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33173, 33171])).
% 8.62/6.45 tff(33175,plain,
% 8.62/6.45 (until5(s144)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9544, 33174])).
% 8.62/6.45 tff(33176,plain,
% 8.62/6.45 (~node4(s144)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9553, 16, 32458])).
% 8.62/6.45 tff(33177,plain,
% 8.62/6.45 (xuntil6(s144) | (~until5(s144))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9594, 352, 33176])).
% 8.62/6.45 tff(33178,plain,
% 8.62/6.45 (xuntil6(s144)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33177, 33175])).
% 8.62/6.45 tff(33179,plain,
% 8.62/6.45 (until5(s145)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9600, 33178])).
% 8.62/6.45 tff(33180,plain,
% 8.62/6.45 (~node4(s145)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9609, 16, 32457])).
% 8.62/6.45 tff(33181,plain,
% 8.62/6.45 (xuntil6(s145) | (~until5(s145))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9650, 352, 33180])).
% 8.62/6.45 tff(33182,plain,
% 8.62/6.45 (xuntil6(s145)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33181, 33179])).
% 8.62/6.45 tff(33183,plain,
% 8.62/6.45 (until5(s146)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9656, 33182])).
% 8.62/6.45 tff(33184,plain,
% 8.62/6.45 (~node4(s146)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9665, 16, 32456])).
% 8.62/6.45 tff(33185,plain,
% 8.62/6.45 (xuntil6(s146) | (~until5(s146))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9706, 352, 33184])).
% 8.62/6.45 tff(33186,plain,
% 8.62/6.45 (xuntil6(s146)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33185, 33183])).
% 8.62/6.45 tff(33187,plain,
% 8.62/6.45 (until5(s147)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9712, 33186])).
% 8.62/6.45 tff(33188,plain,
% 8.62/6.45 (~node4(s147)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9721, 16, 32455])).
% 8.62/6.45 tff(33189,plain,
% 8.62/6.45 (xuntil6(s147) | (~until5(s147))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9762, 352, 33188])).
% 8.62/6.45 tff(33190,plain,
% 8.62/6.45 (xuntil6(s147)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33189, 33187])).
% 8.62/6.45 tff(33191,plain,
% 8.62/6.45 (until5(s148)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9768, 33190])).
% 8.62/6.45 tff(33192,plain,
% 8.62/6.45 (~node4(s148)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9777, 16, 32454])).
% 8.62/6.45 tff(33193,plain,
% 8.62/6.45 (xuntil6(s148) | (~until5(s148))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9818, 352, 33192])).
% 8.62/6.45 tff(33194,plain,
% 8.62/6.45 (xuntil6(s148)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33193, 33191])).
% 8.62/6.45 tff(33195,plain,
% 8.62/6.45 (until5(s149)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9824, 33194])).
% 8.62/6.45 tff(33196,plain,
% 8.62/6.45 (~node4(s149)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9833, 16, 32453])).
% 8.62/6.45 tff(33197,plain,
% 8.62/6.45 (xuntil6(s149) | (~until5(s149))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9868, 352, 33196])).
% 8.62/6.45 tff(33198,plain,
% 8.62/6.45 (xuntil6(s149)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33197, 33195])).
% 8.62/6.45 tff(33199,plain,
% 8.62/6.45 (until5(s150)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9874, 33198])).
% 8.62/6.45 tff(33200,plain,
% 8.62/6.45 (~node4(s150)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[192, 16, 32452])).
% 8.62/6.45 tff(33201,plain,
% 8.62/6.45 (xuntil6(s150) | (~until5(s150))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9881, 352, 33200])).
% 8.62/6.45 tff(33202,plain,
% 8.62/6.45 (xuntil6(s150)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33201, 33199])).
% 8.62/6.45 tff(33203,plain,
% 8.62/6.45 (until5(s151)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9886, 33202])).
% 8.62/6.45 tff(33204,plain,
% 8.62/6.45 (~node4(s151)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9895, 16, 32451])).
% 8.62/6.45 tff(33205,plain,
% 8.62/6.45 (xuntil6(s151) | (~until5(s151))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9936, 352, 33204])).
% 8.62/6.45 tff(33206,plain,
% 8.62/6.45 (xuntil6(s151)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33205, 33203])).
% 8.62/6.45 tff(33207,plain,
% 8.62/6.45 (until5(s152)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9942, 33206])).
% 8.62/6.45 tff(33208,plain,
% 8.62/6.45 (~node4(s152)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9951, 16, 32450])).
% 8.62/6.45 tff(33209,plain,
% 8.62/6.45 (xuntil6(s152) | (~until5(s152))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9992, 352, 33208])).
% 8.62/6.45 tff(33210,plain,
% 8.62/6.45 (xuntil6(s152)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33209, 33207])).
% 8.62/6.45 tff(33211,plain,
% 8.62/6.45 (until5(s153)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[9998, 33210])).
% 8.62/6.45 tff(33212,plain,
% 8.62/6.45 (~node4(s153)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10007, 16, 32449])).
% 8.62/6.45 tff(33213,plain,
% 8.62/6.45 (xuntil6(s153) | (~until5(s153))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10048, 352, 33212])).
% 8.62/6.45 tff(33214,plain,
% 8.62/6.45 (xuntil6(s153)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33213, 33211])).
% 8.62/6.45 tff(33215,plain,
% 8.62/6.45 (until5(s154)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10054, 33214])).
% 8.62/6.45 tff(33216,plain,
% 8.62/6.45 (~node4(s154)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10063, 16, 32448])).
% 8.62/6.45 tff(33217,plain,
% 8.62/6.45 (xuntil6(s154) | (~until5(s154))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10104, 352, 33216])).
% 8.62/6.45 tff(33218,plain,
% 8.62/6.45 (xuntil6(s154)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33217, 33215])).
% 8.62/6.45 tff(33219,plain,
% 8.62/6.45 (until5(s155)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10110, 33218])).
% 8.62/6.45 tff(33220,plain,
% 8.62/6.45 (~node4(s155)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10119, 16, 32447])).
% 8.62/6.45 tff(33221,plain,
% 8.62/6.45 (xuntil6(s155) | (~until5(s155))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10160, 352, 33220])).
% 8.62/6.45 tff(33222,plain,
% 8.62/6.45 (xuntil6(s155)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33221, 33219])).
% 8.62/6.45 tff(33223,plain,
% 8.62/6.45 (until5(s156)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10166, 33222])).
% 8.62/6.45 tff(33224,plain,
% 8.62/6.45 (~node4(s156)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10175, 16, 32446])).
% 8.62/6.45 tff(33225,plain,
% 8.62/6.45 (xuntil6(s156) | (~until5(s156))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10216, 352, 33224])).
% 8.62/6.45 tff(33226,plain,
% 8.62/6.45 (xuntil6(s156)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33225, 33223])).
% 8.62/6.45 tff(33227,plain,
% 8.62/6.45 (until5(s157)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10222, 33226])).
% 8.62/6.45 tff(33228,plain,
% 8.62/6.45 (~node4(s157)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10231, 16, 32445])).
% 8.62/6.45 tff(33229,plain,
% 8.62/6.45 (xuntil6(s157) | (~until5(s157))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10272, 352, 33228])).
% 8.62/6.45 tff(33230,plain,
% 8.62/6.45 (xuntil6(s157)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33229, 33227])).
% 8.62/6.45 tff(33231,plain,
% 8.62/6.45 (until5(s158)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10278, 33230])).
% 8.62/6.45 tff(33232,plain,
% 8.62/6.45 (~node4(s158)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10287, 16, 32444])).
% 8.62/6.45 tff(33233,plain,
% 8.62/6.45 (xuntil6(s158) | (~until5(s158))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10328, 352, 33232])).
% 8.62/6.45 tff(33234,plain,
% 8.62/6.45 (xuntil6(s158)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33233, 33231])).
% 8.62/6.45 tff(33235,plain,
% 8.62/6.45 (until5(s159)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10334, 33234])).
% 8.62/6.45 tff(33236,plain,
% 8.62/6.45 (~node4(s159)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10343, 16, 32443])).
% 8.62/6.45 tff(33237,plain,
% 8.62/6.45 (xuntil6(s159) | (~until5(s159))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10384, 352, 33236])).
% 8.62/6.45 tff(33238,plain,
% 8.62/6.45 (xuntil6(s159)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33237, 33235])).
% 8.62/6.45 tff(33239,plain,
% 8.62/6.45 (until5(s160)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10390, 33238])).
% 8.62/6.45 tff(33240,plain,
% 8.62/6.45 (~node4(s160)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10399, 16, 32442])).
% 8.62/6.45 tff(33241,plain,
% 8.62/6.45 (xuntil6(s160) | (~until5(s160))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10440, 352, 33240])).
% 8.62/6.45 tff(33242,plain,
% 8.62/6.45 (xuntil6(s160)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33241, 33239])).
% 8.62/6.45 tff(33243,plain,
% 8.62/6.45 (until5(s161)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10446, 33242])).
% 8.62/6.45 tff(33244,plain,
% 8.62/6.45 (~node4(s161)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10452, 16, 32441])).
% 8.62/6.45 tff(33245,plain,
% 8.62/6.45 (xuntil6(s161) | (~until5(s161))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10499, 352, 33244])).
% 8.62/6.45 tff(33246,plain,
% 8.62/6.45 (xuntil6(s161)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33245, 33243])).
% 8.62/6.45 tff(33247,plain,
% 8.62/6.45 (until5(s162)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10505, 33246])).
% 8.62/6.45 tff(33248,plain,
% 8.62/6.45 (~node4(s162)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10514, 16, 32440])).
% 8.62/6.45 tff(33249,plain,
% 8.62/6.45 (xuntil6(s162) | (~until5(s162))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10555, 352, 33248])).
% 8.62/6.45 tff(33250,plain,
% 8.62/6.45 (xuntil6(s162)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33249, 33247])).
% 8.62/6.45 tff(33251,plain,
% 8.62/6.45 (until5(s163)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10561, 33250])).
% 8.62/6.45 tff(33252,plain,
% 8.62/6.45 (~node4(s163)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10570, 16, 32439])).
% 8.62/6.45 tff(33253,plain,
% 8.62/6.45 (xuntil6(s163) | (~until5(s163))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10611, 352, 33252])).
% 8.62/6.45 tff(33254,plain,
% 8.62/6.45 (xuntil6(s163)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33253, 33251])).
% 8.62/6.45 tff(33255,plain,
% 8.62/6.45 (until5(s164)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10617, 33254])).
% 8.62/6.45 tff(33256,plain,
% 8.62/6.45 (~node4(s164)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10623, 16, 32438])).
% 8.62/6.45 tff(33257,plain,
% 8.62/6.45 (xuntil6(s164) | (~until5(s164))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10670, 352, 33256])).
% 8.62/6.45 tff(33258,plain,
% 8.62/6.45 (xuntil6(s164)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33257, 33255])).
% 8.62/6.45 tff(33259,plain,
% 8.62/6.45 (until5(s165)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10676, 33258])).
% 8.62/6.45 tff(33260,plain,
% 8.62/6.45 (~node4(s165)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10685, 16, 32437])).
% 8.62/6.45 tff(33261,plain,
% 8.62/6.45 (xuntil6(s165) | (~until5(s165))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10726, 352, 33260])).
% 8.62/6.45 tff(33262,plain,
% 8.62/6.45 (xuntil6(s165)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33261, 33259])).
% 8.62/6.45 tff(33263,plain,
% 8.62/6.45 (until5(s166)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10732, 33262])).
% 8.62/6.45 tff(33264,plain,
% 8.62/6.45 (~node4(s166)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10741, 16, 32436])).
% 8.62/6.45 tff(33265,plain,
% 8.62/6.45 (xuntil6(s166) | (~until5(s166))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10782, 352, 33264])).
% 8.62/6.45 tff(33266,plain,
% 8.62/6.45 (xuntil6(s166)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33265, 33263])).
% 8.62/6.45 tff(33267,plain,
% 8.62/6.45 (until5(s167)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10788, 33266])).
% 8.62/6.45 tff(33268,plain,
% 8.62/6.45 (~node4(s167)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10797, 16, 32435])).
% 8.62/6.45 tff(33269,plain,
% 8.62/6.45 (xuntil6(s167) | (~until5(s167))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10838, 352, 33268])).
% 8.62/6.45 tff(33270,plain,
% 8.62/6.45 (xuntil6(s167)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33269, 33267])).
% 8.62/6.45 tff(33271,plain,
% 8.62/6.45 (until5(s168)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10844, 33270])).
% 8.62/6.45 tff(33272,plain,
% 8.62/6.45 (~node4(s168)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10853, 16, 32434])).
% 8.62/6.45 tff(33273,plain,
% 8.62/6.45 (xuntil6(s168) | (~until5(s168))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10894, 352, 33272])).
% 8.62/6.45 tff(33274,plain,
% 8.62/6.45 (xuntil6(s168)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33273, 33271])).
% 8.62/6.45 tff(33275,plain,
% 8.62/6.45 (until5(s169)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10900, 33274])).
% 8.62/6.45 tff(33276,plain,
% 8.62/6.45 (~node4(s169)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10909, 16, 32433])).
% 8.62/6.45 tff(33277,plain,
% 8.62/6.45 (xuntil6(s169) | (~until5(s169))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10950, 352, 33276])).
% 8.62/6.45 tff(33278,plain,
% 8.62/6.45 (xuntil6(s169)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33277, 33275])).
% 8.62/6.45 tff(33279,plain,
% 8.62/6.45 (until5(s170)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10956, 33278])).
% 8.62/6.45 tff(33280,plain,
% 8.62/6.45 (~node4(s170)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[10965, 16, 32432])).
% 8.62/6.45 tff(33281,plain,
% 8.62/6.45 (xuntil6(s170) | (~until5(s170))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11023, 352, 33280])).
% 8.62/6.45 tff(33282,plain,
% 8.62/6.45 (xuntil6(s170)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33281, 33279])).
% 8.62/6.45 tff(33283,plain,
% 8.62/6.45 (until5(s171)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11029, 33282])).
% 8.62/6.45 tff(33284,plain,
% 8.62/6.45 (~node4(s171)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11038, 16, 32431])).
% 8.62/6.45 tff(33285,plain,
% 8.62/6.45 (xuntil6(s171) | (~until5(s171))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11079, 352, 33284])).
% 8.62/6.45 tff(33286,plain,
% 8.62/6.45 (xuntil6(s171)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33285, 33283])).
% 8.62/6.45 tff(33287,plain,
% 8.62/6.45 (until5(s172)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11085, 33286])).
% 8.62/6.45 tff(33288,plain,
% 8.62/6.45 (~node4(s172)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11094, 16, 32430])).
% 8.62/6.45 tff(33289,plain,
% 8.62/6.45 (xuntil6(s172) | (~until5(s172))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11135, 352, 33288])).
% 8.62/6.45 tff(33290,plain,
% 8.62/6.45 (xuntil6(s172)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33289, 33287])).
% 8.62/6.45 tff(33291,plain,
% 8.62/6.45 (until5(s173)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11141, 33290])).
% 8.62/6.45 tff(33292,plain,
% 8.62/6.45 (~node4(s173)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11150, 16, 32429])).
% 8.62/6.45 tff(33293,plain,
% 8.62/6.45 (xuntil6(s173) | (~until5(s173))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11191, 352, 33292])).
% 8.62/6.45 tff(33294,plain,
% 8.62/6.45 (xuntil6(s173)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33293, 33291])).
% 8.62/6.45 tff(33295,plain,
% 8.62/6.45 (until5(s174)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11197, 33294])).
% 8.62/6.45 tff(33296,plain,
% 8.62/6.45 (~node4(s174)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11202, 16, 32428])).
% 8.62/6.45 tff(33297,plain,
% 8.62/6.45 (xuntil6(s174) | (~until5(s174))),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11250, 352, 33296])).
% 8.62/6.45 tff(33298,plain,
% 8.62/6.45 (xuntil6(s174)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33297, 33295])).
% 8.62/6.45 tff(33299,plain,
% 8.62/6.45 ($false),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[11256, 33298, 32427])).
% 8.62/6.45 tff(33300,plain,(loop | node4(s59)), inference(lemma,lemma(discharge,[]))).
% 8.62/6.45 tff(33301,plain,
% 8.62/6.45 (node4(s59)),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[33300, 31526])).
% 8.62/6.45 tff(33302,plain,
% 8.62/6.45 ($false),
% 8.62/6.45 inference(unit_resolution,[status(thm)],[4267, 16, 32543, 33301])).
% 8.62/6.45 tff(33303,plain,(loop), inference(lemma,lemma(discharge,[]))).
% 8.62/6.45 tff(33304,plain,
% 8.62/6.45 (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344) | trans(s349, s345) | trans(s349, s346) | trans(s349, s347) | trans(s349, s348) | trans(s349, s349)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344) | trans(s349, s345) | trans(s349, s346) | trans(s349, s347) | trans(s349, s348) | trans(s349, s349))),
% 8.62/6.46 inference(rewrite,[status(thm)],[])).
% 8.62/6.46 tff(33305,plain,
% 8.62/6.46 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344) | trans(s349, s345) | trans(s349, s346) | trans(s349, s347) | trans(s349, s348)) | trans(s349, s349)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344) | trans(s349, s345) | trans(s349, s346) | trans(s349, s347) | trans(s349, s348) | trans(s349, s349))),
% 8.62/6.47 inference(rewrite,[status(thm)],[])).
% 8.62/6.47 tff(33306,plain,
% 8.62/6.47 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344) | trans(s349, s345) | trans(s349, s346) | trans(s349, s347)) | trans(s349, s348)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344) | trans(s349, s345) | trans(s349, s346) | trans(s349, s347) | trans(s349, s348))),
% 8.71/6.49 inference(rewrite,[status(thm)],[])).
% 8.71/6.49 tff(33307,plain,
% 8.71/6.49 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344) | trans(s349, s345) | trans(s349, s346)) | trans(s349, s347)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344) | trans(s349, s345) | trans(s349, s346) | trans(s349, s347))),
% 8.71/6.50 inference(rewrite,[status(thm)],[])).
% 8.71/6.50 tff(33308,plain,
% 8.71/6.50 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344) | trans(s349, s345)) | trans(s349, s346)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344) | trans(s349, s345) | trans(s349, s346))),
% 8.71/6.51 inference(rewrite,[status(thm)],[])).
% 8.71/6.51 tff(33309,plain,
% 8.71/6.51 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344)) | trans(s349, s345)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344) | trans(s349, s345))),
% 8.71/6.52 inference(rewrite,[status(thm)],[])).
% 8.71/6.52 tff(33310,plain,
% 8.71/6.52 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343)) | trans(s349, s344)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343) | trans(s349, s344))),
% 8.71/6.53 inference(rewrite,[status(thm)],[])).
% 8.71/6.53 tff(33311,plain,
% 8.71/6.53 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342)) | trans(s349, s343)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342) | trans(s349, s343))),
% 8.71/6.54 inference(rewrite,[status(thm)],[])).
% 8.71/6.54 tff(33312,plain,
% 8.71/6.54 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341)) | trans(s349, s342)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341) | trans(s349, s342))),
% 8.71/6.55 inference(rewrite,[status(thm)],[])).
% 8.71/6.55 tff(33313,plain,
% 8.71/6.55 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340)) | trans(s349, s341)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340) | trans(s349, s341))),
% 8.71/6.56 inference(rewrite,[status(thm)],[])).
% 8.71/6.56 tff(33314,plain,
% 8.71/6.56 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339)) | trans(s349, s340)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339) | trans(s349, s340))),
% 8.71/6.57 inference(rewrite,[status(thm)],[])).
% 8.71/6.57 tff(33315,plain,
% 8.71/6.57 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338)) | trans(s349, s339)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338) | trans(s349, s339))),
% 8.81/6.58 inference(rewrite,[status(thm)],[])).
% 8.81/6.58 tff(33316,plain,
% 8.81/6.58 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337)) | trans(s349, s338)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337) | trans(s349, s338))),
% 8.81/6.59 inference(rewrite,[status(thm)],[])).
% 8.81/6.59 tff(33317,plain,
% 8.81/6.59 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336)) | trans(s349, s337)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336) | trans(s349, s337))),
% 8.82/6.60 inference(rewrite,[status(thm)],[])).
% 8.82/6.60 tff(33318,plain,
% 8.82/6.60 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335)) | trans(s349, s336)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335) | trans(s349, s336))),
% 8.82/6.61 inference(rewrite,[status(thm)],[])).
% 8.82/6.61 tff(33319,plain,
% 8.82/6.61 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334)) | trans(s349, s335)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334) | trans(s349, s335))),
% 8.84/6.62 inference(rewrite,[status(thm)],[])).
% 8.84/6.62 tff(33320,plain,
% 8.84/6.62 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333)) | trans(s349, s334)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333) | trans(s349, s334))),
% 8.86/6.63 inference(rewrite,[status(thm)],[])).
% 8.86/6.63 tff(33321,plain,
% 8.86/6.63 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332)) | trans(s349, s333)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332) | trans(s349, s333))),
% 8.86/6.64 inference(rewrite,[status(thm)],[])).
% 8.86/6.64 tff(33322,plain,
% 8.86/6.64 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331)) | trans(s349, s332)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331) | trans(s349, s332))),
% 8.86/6.65 inference(rewrite,[status(thm)],[])).
% 8.86/6.65 tff(33323,plain,
% 8.86/6.65 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330)) | trans(s349, s331)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330) | trans(s349, s331))),
% 8.86/6.66 inference(rewrite,[status(thm)],[])).
% 8.86/6.66 tff(33324,plain,
% 8.86/6.66 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329)) | trans(s349, s330)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329) | trans(s349, s330))),
% 8.86/6.67 inference(rewrite,[status(thm)],[])).
% 8.86/6.67 tff(33325,plain,
% 8.86/6.67 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328)) | trans(s349, s329)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328) | trans(s349, s329))),
% 8.86/6.68 inference(rewrite,[status(thm)],[])).
% 8.86/6.68 tff(33326,plain,
% 8.86/6.68 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327)) | trans(s349, s328)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327) | trans(s349, s328))),
% 8.86/6.69 inference(rewrite,[status(thm)],[])).
% 8.86/6.69 tff(33327,plain,
% 8.86/6.69 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326)) | trans(s349, s327)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326) | trans(s349, s327))),
% 8.86/6.70 inference(rewrite,[status(thm)],[])).
% 8.86/6.70 tff(33328,plain,
% 8.86/6.70 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325)) | trans(s349, s326)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325) | trans(s349, s326))),
% 8.94/6.72 inference(rewrite,[status(thm)],[])).
% 8.94/6.72 tff(33329,plain,
% 8.94/6.72 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324)) | trans(s349, s325)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324) | trans(s349, s325))),
% 8.94/6.73 inference(rewrite,[status(thm)],[])).
% 8.94/6.73 tff(33330,plain,
% 8.94/6.73 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323)) | trans(s349, s324)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323) | trans(s349, s324))),
% 8.94/6.74 inference(rewrite,[status(thm)],[])).
% 8.94/6.74 tff(33331,plain,
% 8.94/6.74 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322)) | trans(s349, s323)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322) | trans(s349, s323))),
% 8.94/6.74 inference(rewrite,[status(thm)],[])).
% 8.94/6.74 tff(33332,plain,
% 8.94/6.74 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321)) | trans(s349, s322)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321) | trans(s349, s322))),
% 8.94/6.75 inference(rewrite,[status(thm)],[])).
% 8.94/6.75 tff(33333,plain,
% 8.94/6.75 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320)) | trans(s349, s321)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320) | trans(s349, s321))),
% 8.94/6.76 inference(rewrite,[status(thm)],[])).
% 8.94/6.76 tff(33334,plain,
% 8.94/6.76 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319)) | trans(s349, s320)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319) | trans(s349, s320))),
% 8.94/6.77 inference(rewrite,[status(thm)],[])).
% 8.94/6.77 tff(33335,plain,
% 8.94/6.77 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318)) | trans(s349, s319)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318) | trans(s349, s319))),
% 8.94/6.78 inference(rewrite,[status(thm)],[])).
% 8.94/6.78 tff(33336,plain,
% 8.94/6.78 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317)) | trans(s349, s318)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317) | trans(s349, s318))),
% 8.94/6.79 inference(rewrite,[status(thm)],[])).
% 8.94/6.79 tff(33337,plain,
% 8.94/6.80 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316)) | trans(s349, s317)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316) | trans(s349, s317))),
% 9.02/6.81 inference(rewrite,[status(thm)],[])).
% 9.02/6.81 tff(33338,plain,
% 9.02/6.81 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315)) | trans(s349, s316)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315) | trans(s349, s316))),
% 9.02/6.82 inference(rewrite,[status(thm)],[])).
% 9.02/6.82 tff(33339,plain,
% 9.02/6.82 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314)) | trans(s349, s315)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314) | trans(s349, s315))),
% 9.02/6.82 inference(rewrite,[status(thm)],[])).
% 9.02/6.82 tff(33340,plain,
% 9.02/6.82 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313)) | trans(s349, s314)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313) | trans(s349, s314))),
% 9.02/6.83 inference(rewrite,[status(thm)],[])).
% 9.02/6.83 tff(33341,plain,
% 9.02/6.83 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312)) | trans(s349, s313)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312) | trans(s349, s313))),
% 9.02/6.84 inference(rewrite,[status(thm)],[])).
% 9.02/6.84 tff(33342,plain,
% 9.02/6.84 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311)) | trans(s349, s312)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311) | trans(s349, s312))),
% 9.02/6.85 inference(rewrite,[status(thm)],[])).
% 9.02/6.85 tff(33343,plain,
% 9.02/6.85 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310)) | trans(s349, s311)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310) | trans(s349, s311))),
% 9.02/6.86 inference(rewrite,[status(thm)],[])).
% 9.02/6.86 tff(33344,plain,
% 9.02/6.86 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309)) | trans(s349, s310)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309) | trans(s349, s310))),
% 9.02/6.87 inference(rewrite,[status(thm)],[])).
% 9.02/6.87 tff(33345,plain,
% 9.02/6.87 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308)) | trans(s349, s309)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308) | trans(s349, s309))),
% 9.11/6.88 inference(rewrite,[status(thm)],[])).
% 9.11/6.88 tff(33346,plain,
% 9.11/6.88 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307)) | trans(s349, s308)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307) | trans(s349, s308))),
% 9.11/6.89 inference(rewrite,[status(thm)],[])).
% 9.11/6.89 tff(33347,plain,
% 9.11/6.89 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306)) | trans(s349, s307)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306) | trans(s349, s307))),
% 9.11/6.90 inference(rewrite,[status(thm)],[])).
% 9.11/6.90 tff(33348,plain,
% 9.11/6.90 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305)) | trans(s349, s306)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305) | trans(s349, s306))),
% 9.11/6.91 inference(rewrite,[status(thm)],[])).
% 9.11/6.91 tff(33349,plain,
% 9.11/6.91 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304)) | trans(s349, s305)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304) | trans(s349, s305))),
% 9.11/6.92 inference(rewrite,[status(thm)],[])).
% 9.11/6.92 tff(33350,plain,
% 9.11/6.92 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303)) | trans(s349, s304)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303) | trans(s349, s304))),
% 9.11/6.93 inference(rewrite,[status(thm)],[])).
% 9.11/6.93 tff(33351,plain,
% 9.11/6.93 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302)) | trans(s349, s303)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302) | trans(s349, s303))),
% 9.11/6.94 inference(rewrite,[status(thm)],[])).
% 9.11/6.94 tff(33352,plain,
% 9.11/6.94 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301)) | trans(s349, s302)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301) | trans(s349, s302))),
% 9.11/6.95 inference(rewrite,[status(thm)],[])).
% 9.11/6.95 tff(33353,plain,
% 9.11/6.95 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300)) | trans(s349, s301)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300) | trans(s349, s301))),
% 9.11/6.96 inference(rewrite,[status(thm)],[])).
% 9.11/6.96 tff(33354,plain,
% 9.11/6.96 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299)) | trans(s349, s300)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299) | trans(s349, s300))),
% 9.11/6.97 inference(rewrite,[status(thm)],[])).
% 9.11/6.97 tff(33355,plain,
% 9.11/6.97 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298)) | trans(s349, s299)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298) | trans(s349, s299))),
% 9.11/6.98 inference(rewrite,[status(thm)],[])).
% 9.11/6.98 tff(33356,plain,
% 9.11/6.98 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297)) | trans(s349, s298)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297) | trans(s349, s298))),
% 9.21/6.99 inference(rewrite,[status(thm)],[])).
% 9.21/6.99 tff(33357,plain,
% 9.21/6.99 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296)) | trans(s349, s297)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296) | trans(s349, s297))),
% 9.22/7.00 inference(rewrite,[status(thm)],[])).
% 9.22/7.00 tff(33358,plain,
% 9.22/7.00 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295)) | trans(s349, s296)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295) | trans(s349, s296))),
% 9.22/7.00 inference(rewrite,[status(thm)],[])).
% 9.22/7.00 tff(33359,plain,
% 9.22/7.00 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294)) | trans(s349, s295)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294) | trans(s349, s295))),
% 9.24/7.01 inference(rewrite,[status(thm)],[])).
% 9.24/7.01 tff(33360,plain,
% 9.24/7.01 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293)) | trans(s349, s294)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293) | trans(s349, s294))),
% 9.24/7.02 inference(rewrite,[status(thm)],[])).
% 9.24/7.02 tff(33361,plain,
% 9.24/7.02 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292)) | trans(s349, s293)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292) | trans(s349, s293))),
% 9.24/7.03 inference(rewrite,[status(thm)],[])).
% 9.24/7.03 tff(33362,plain,
% 9.24/7.03 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291)) | trans(s349, s292)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291) | trans(s349, s292))),
% 9.24/7.04 inference(rewrite,[status(thm)],[])).
% 9.24/7.04 tff(33363,plain,
% 9.24/7.04 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290)) | trans(s349, s291)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290) | trans(s349, s291))),
% 9.24/7.05 inference(rewrite,[status(thm)],[])).
% 9.24/7.05 tff(33364,plain,
% 9.24/7.05 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289)) | trans(s349, s290)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289) | trans(s349, s290))),
% 9.24/7.06 inference(rewrite,[status(thm)],[])).
% 9.24/7.06 tff(33365,plain,
% 9.24/7.06 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288)) | trans(s349, s289)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288) | trans(s349, s289))),
% 9.24/7.07 inference(rewrite,[status(thm)],[])).
% 9.24/7.07 tff(33366,plain,
% 9.24/7.07 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287)) | trans(s349, s288)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287) | trans(s349, s288))),
% 9.24/7.08 inference(rewrite,[status(thm)],[])).
% 9.24/7.08 tff(33367,plain,
% 9.24/7.08 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286)) | trans(s349, s287)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286) | trans(s349, s287))),
% 9.24/7.08 inference(rewrite,[status(thm)],[])).
% 9.24/7.08 tff(33368,plain,
% 9.24/7.08 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285)) | trans(s349, s286)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285) | trans(s349, s286))),
% 9.24/7.09 inference(rewrite,[status(thm)],[])).
% 9.24/7.09 tff(33369,plain,
% 9.24/7.09 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284)) | trans(s349, s285)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284) | trans(s349, s285))),
% 9.32/7.10 inference(rewrite,[status(thm)],[])).
% 9.32/7.10 tff(33370,plain,
% 9.32/7.10 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283)) | trans(s349, s284)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283) | trans(s349, s284))),
% 9.32/7.11 inference(rewrite,[status(thm)],[])).
% 9.32/7.11 tff(33371,plain,
% 9.32/7.11 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282)) | trans(s349, s283)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282) | trans(s349, s283))),
% 9.32/7.12 inference(rewrite,[status(thm)],[])).
% 9.32/7.12 tff(33372,plain,
% 9.32/7.12 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281)) | trans(s349, s282)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281) | trans(s349, s282))),
% 9.32/7.13 inference(rewrite,[status(thm)],[])).
% 9.32/7.13 tff(33373,plain,
% 9.32/7.13 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280)) | trans(s349, s281)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280) | trans(s349, s281))),
% 9.32/7.14 inference(rewrite,[status(thm)],[])).
% 9.32/7.14 tff(33374,plain,
% 9.32/7.14 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279)) | trans(s349, s280)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279) | trans(s349, s280))),
% 9.32/7.15 inference(rewrite,[status(thm)],[])).
% 9.32/7.15 tff(33375,plain,
% 9.32/7.15 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278)) | trans(s349, s279)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278) | trans(s349, s279))),
% 9.32/7.16 inference(rewrite,[status(thm)],[])).
% 9.32/7.16 tff(33376,plain,
% 9.32/7.16 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277)) | trans(s349, s278)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277) | trans(s349, s278))),
% 9.32/7.17 inference(rewrite,[status(thm)],[])).
% 9.32/7.17 tff(33377,plain,
% 9.32/7.17 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276)) | trans(s349, s277)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276) | trans(s349, s277))),
% 9.32/7.18 inference(rewrite,[status(thm)],[])).
% 9.32/7.18 tff(33378,plain,
% 9.32/7.18 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275)) | trans(s349, s276)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275) | trans(s349, s276))),
% 9.41/7.18 inference(rewrite,[status(thm)],[])).
% 9.41/7.18 tff(33379,plain,
% 9.41/7.18 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274)) | trans(s349, s275)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274) | trans(s349, s275))),
% 9.41/7.19 inference(rewrite,[status(thm)],[])).
% 9.41/7.19 tff(33380,plain,
% 9.41/7.19 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273)) | trans(s349, s274)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273) | trans(s349, s274))),
% 9.41/7.20 inference(rewrite,[status(thm)],[])).
% 9.41/7.20 tff(33381,plain,
% 9.41/7.20 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272)) | trans(s349, s273)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272) | trans(s349, s273))),
% 9.41/7.21 inference(rewrite,[status(thm)],[])).
% 9.41/7.21 tff(33382,plain,
% 9.41/7.21 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271)) | trans(s349, s272)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271) | trans(s349, s272))),
% 9.41/7.22 inference(rewrite,[status(thm)],[])).
% 9.41/7.22 tff(33383,plain,
% 9.41/7.22 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270)) | trans(s349, s271)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270) | trans(s349, s271))),
% 9.41/7.22 inference(rewrite,[status(thm)],[])).
% 9.41/7.22 tff(33384,plain,
% 9.41/7.22 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269)) | trans(s349, s270)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269) | trans(s349, s270))),
% 9.41/7.23 inference(rewrite,[status(thm)],[])).
% 9.41/7.23 tff(33385,plain,
% 9.41/7.23 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268)) | trans(s349, s269)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268) | trans(s349, s269))),
% 9.41/7.24 inference(rewrite,[status(thm)],[])).
% 9.41/7.24 tff(33386,plain,
% 9.41/7.24 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267)) | trans(s349, s268)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267) | trans(s349, s268))),
% 9.41/7.25 inference(rewrite,[status(thm)],[])).
% 9.41/7.25 tff(33387,plain,
% 9.41/7.25 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266)) | trans(s349, s267)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266) | trans(s349, s267))),
% 9.41/7.26 inference(rewrite,[status(thm)],[])).
% 9.41/7.26 tff(33388,plain,
% 9.41/7.26 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265)) | trans(s349, s266)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265) | trans(s349, s266))),
% 9.41/7.26 inference(rewrite,[status(thm)],[])).
% 9.41/7.26 tff(33389,plain,
% 9.41/7.26 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264)) | trans(s349, s265)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264) | trans(s349, s265))),
% 9.41/7.27 inference(rewrite,[status(thm)],[])).
% 9.41/7.27 tff(33390,plain,
% 9.41/7.27 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263)) | trans(s349, s264)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263) | trans(s349, s264))),
% 9.51/7.28 inference(rewrite,[status(thm)],[])).
% 9.51/7.28 tff(33391,plain,
% 9.51/7.28 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262)) | trans(s349, s263)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262) | trans(s349, s263))),
% 9.51/7.29 inference(rewrite,[status(thm)],[])).
% 9.51/7.29 tff(33392,plain,
% 9.51/7.29 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261)) | trans(s349, s262)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261) | trans(s349, s262))),
% 9.51/7.30 inference(rewrite,[status(thm)],[])).
% 9.51/7.30 tff(33393,plain,
% 9.51/7.30 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260)) | trans(s349, s261)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260) | trans(s349, s261))),
% 9.51/7.31 inference(rewrite,[status(thm)],[])).
% 9.51/7.31 tff(33394,plain,
% 9.51/7.31 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259)) | trans(s349, s260)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259) | trans(s349, s260))),
% 9.54/7.32 inference(rewrite,[status(thm)],[])).
% 9.54/7.32 tff(33395,plain,
% 9.54/7.32 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258)) | trans(s349, s259)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258) | trans(s349, s259))),
% 9.54/7.32 inference(rewrite,[status(thm)],[])).
% 9.54/7.32 tff(33396,plain,
% 9.54/7.32 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257)) | trans(s349, s258)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257) | trans(s349, s258))),
% 9.56/7.33 inference(rewrite,[status(thm)],[])).
% 9.56/7.33 tff(33397,plain,
% 9.56/7.33 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256)) | trans(s349, s257)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256) | trans(s349, s257))),
% 9.56/7.34 inference(rewrite,[status(thm)],[])).
% 9.56/7.34 tff(33398,plain,
% 9.56/7.34 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255)) | trans(s349, s256)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255) | trans(s349, s256))),
% 9.56/7.35 inference(rewrite,[status(thm)],[])).
% 9.56/7.35 tff(33399,plain,
% 9.56/7.35 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254)) | trans(s349, s255)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254) | trans(s349, s255))),
% 9.56/7.36 inference(rewrite,[status(thm)],[])).
% 9.56/7.36 tff(33400,plain,
% 9.56/7.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253)) | trans(s349, s254)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253) | trans(s349, s254))),
% 9.56/7.37 inference(rewrite,[status(thm)],[])).
% 9.56/7.37 tff(33401,plain,
% 9.56/7.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252)) | trans(s349, s253)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252) | trans(s349, s253))),
% 9.56/7.37 inference(rewrite,[status(thm)],[])).
% 9.56/7.37 tff(33402,plain,
% 9.56/7.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251)) | trans(s349, s252)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251) | trans(s349, s252))),
% 9.56/7.38 inference(rewrite,[status(thm)],[])).
% 9.56/7.38 tff(33403,plain,
% 9.56/7.38 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250)) | trans(s349, s251)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250) | trans(s349, s251))),
% 9.56/7.39 inference(rewrite,[status(thm)],[])).
% 9.56/7.39 tff(33404,plain,
% 9.56/7.39 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249)) | trans(s349, s250)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249) | trans(s349, s250))),
% 9.56/7.39 inference(rewrite,[status(thm)],[])).
% 9.56/7.39 tff(33405,plain,
% 9.56/7.39 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248)) | trans(s349, s249)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248) | trans(s349, s249))),
% 9.56/7.40 inference(rewrite,[status(thm)],[])).
% 9.56/7.40 tff(33406,plain,
% 9.56/7.40 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247)) | trans(s349, s248)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247) | trans(s349, s248))),
% 9.56/7.41 inference(rewrite,[status(thm)],[])).
% 9.56/7.41 tff(33407,plain,
% 9.56/7.41 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246)) | trans(s349, s247)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246) | trans(s349, s247))),
% 9.56/7.42 inference(rewrite,[status(thm)],[])).
% 9.56/7.42 tff(33408,plain,
% 9.56/7.42 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245)) | trans(s349, s246)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245) | trans(s349, s246))),
% 9.56/7.43 inference(rewrite,[status(thm)],[])).
% 9.56/7.43 tff(33409,plain,
% 9.56/7.43 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244)) | trans(s349, s245)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244) | trans(s349, s245))),
% 9.66/7.43 inference(rewrite,[status(thm)],[])).
% 9.66/7.43 tff(33410,plain,
% 9.66/7.43 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243)) | trans(s349, s244)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243) | trans(s349, s244))),
% 9.66/7.44 inference(rewrite,[status(thm)],[])).
% 9.66/7.44 tff(33411,plain,
% 9.66/7.44 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242)) | trans(s349, s243)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242) | trans(s349, s243))),
% 9.66/7.45 inference(rewrite,[status(thm)],[])).
% 9.66/7.45 tff(33412,plain,
% 9.66/7.45 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241)) | trans(s349, s242)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241) | trans(s349, s242))),
% 9.66/7.46 inference(rewrite,[status(thm)],[])).
% 9.66/7.46 tff(33413,plain,
% 9.66/7.46 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240)) | trans(s349, s241)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240) | trans(s349, s241))),
% 9.66/7.47 inference(rewrite,[status(thm)],[])).
% 9.66/7.47 tff(33414,plain,
% 9.66/7.47 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239)) | trans(s349, s240)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239) | trans(s349, s240))),
% 9.66/7.47 inference(rewrite,[status(thm)],[])).
% 9.66/7.47 tff(33415,plain,
% 9.66/7.47 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238)) | trans(s349, s239)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238) | trans(s349, s239))),
% 9.66/7.48 inference(rewrite,[status(thm)],[])).
% 9.66/7.48 tff(33416,plain,
% 9.66/7.48 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237)) | trans(s349, s238)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237) | trans(s349, s238))),
% 9.66/7.49 inference(rewrite,[status(thm)],[])).
% 9.66/7.49 tff(33417,plain,
% 9.66/7.49 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236)) | trans(s349, s237)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236) | trans(s349, s237))),
% 9.66/7.50 inference(rewrite,[status(thm)],[])).
% 9.66/7.50 tff(33418,plain,
% 9.66/7.50 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235)) | trans(s349, s236)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235) | trans(s349, s236))),
% 9.72/7.50 inference(rewrite,[status(thm)],[])).
% 9.72/7.50 tff(33419,plain,
% 9.72/7.50 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234)) | trans(s349, s235)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234) | trans(s349, s235))),
% 9.72/7.51 inference(rewrite,[status(thm)],[])).
% 9.72/7.51 tff(33420,plain,
% 9.72/7.51 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233)) | trans(s349, s234)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233) | trans(s349, s234))),
% 9.72/7.52 inference(rewrite,[status(thm)],[])).
% 9.72/7.52 tff(33421,plain,
% 9.72/7.52 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232)) | trans(s349, s233)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232) | trans(s349, s233))),
% 9.72/7.52 inference(rewrite,[status(thm)],[])).
% 9.72/7.52 tff(33422,plain,
% 9.72/7.52 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231)) | trans(s349, s232)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231) | trans(s349, s232))),
% 9.72/7.53 inference(rewrite,[status(thm)],[])).
% 9.72/7.53 tff(33423,plain,
% 9.72/7.53 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230)) | trans(s349, s231)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230) | trans(s349, s231))),
% 9.72/7.54 inference(rewrite,[status(thm)],[])).
% 9.72/7.54 tff(33424,plain,
% 9.72/7.54 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229)) | trans(s349, s230)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229) | trans(s349, s230))),
% 9.72/7.55 inference(rewrite,[status(thm)],[])).
% 9.72/7.55 tff(33425,plain,
% 9.72/7.55 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228)) | trans(s349, s229)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228) | trans(s349, s229))),
% 9.72/7.55 inference(rewrite,[status(thm)],[])).
% 9.72/7.55 tff(33426,plain,
% 9.72/7.55 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227)) | trans(s349, s228)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227) | trans(s349, s228))),
% 9.72/7.56 inference(rewrite,[status(thm)],[])).
% 9.72/7.56 tff(33427,plain,
% 9.72/7.56 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226)) | trans(s349, s227)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226) | trans(s349, s227))),
% 9.79/7.57 inference(rewrite,[status(thm)],[])).
% 9.79/7.57 tff(33428,plain,
% 9.79/7.57 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225)) | trans(s349, s226)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225) | trans(s349, s226))),
% 9.79/7.57 inference(rewrite,[status(thm)],[])).
% 9.79/7.57 tff(33429,plain,
% 9.79/7.57 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224)) | trans(s349, s225)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224) | trans(s349, s225))),
% 9.79/7.58 inference(rewrite,[status(thm)],[])).
% 9.79/7.58 tff(33430,plain,
% 9.79/7.58 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223)) | trans(s349, s224)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223) | trans(s349, s224))),
% 9.79/7.59 inference(rewrite,[status(thm)],[])).
% 9.79/7.59 tff(33431,plain,
% 9.79/7.59 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222)) | trans(s349, s223)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222) | trans(s349, s223))),
% 9.79/7.60 inference(rewrite,[status(thm)],[])).
% 9.79/7.60 tff(33432,plain,
% 9.79/7.60 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221)) | trans(s349, s222)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221) | trans(s349, s222))),
% 9.79/7.60 inference(rewrite,[status(thm)],[])).
% 9.79/7.60 tff(33433,plain,
% 9.79/7.60 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220)) | trans(s349, s221)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220) | trans(s349, s221))),
% 9.79/7.61 inference(rewrite,[status(thm)],[])).
% 9.79/7.61 tff(33434,plain,
% 9.79/7.61 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219)) | trans(s349, s220)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219) | trans(s349, s220))),
% 9.79/7.62 inference(rewrite,[status(thm)],[])).
% 9.79/7.62 tff(33435,plain,
% 9.79/7.62 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218)) | trans(s349, s219)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218) | trans(s349, s219))),
% 9.79/7.62 inference(rewrite,[status(thm)],[])).
% 9.79/7.62 tff(33436,plain,
% 9.79/7.62 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217)) | trans(s349, s218)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217) | trans(s349, s218))),
% 9.79/7.63 inference(rewrite,[status(thm)],[])).
% 9.79/7.63 tff(33437,plain,
% 9.79/7.63 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216)) | trans(s349, s217)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216) | trans(s349, s217))),
% 9.79/7.64 inference(rewrite,[status(thm)],[])).
% 9.79/7.64 tff(33438,plain,
% 9.79/7.64 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215)) | trans(s349, s216)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215) | trans(s349, s216))),
% 9.79/7.65 inference(rewrite,[status(thm)],[])).
% 9.79/7.65 tff(33439,plain,
% 9.79/7.65 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214)) | trans(s349, s215)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214) | trans(s349, s215))),
% 9.79/7.65 inference(rewrite,[status(thm)],[])).
% 9.79/7.65 tff(33440,plain,
% 9.79/7.65 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213)) | trans(s349, s214)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213) | trans(s349, s214))),
% 9.79/7.66 inference(rewrite,[status(thm)],[])).
% 9.79/7.66 tff(33441,plain,
% 9.79/7.66 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212)) | trans(s349, s213)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212) | trans(s349, s213))),
% 9.89/7.66 inference(rewrite,[status(thm)],[])).
% 9.89/7.66 tff(33442,plain,
% 9.89/7.66 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211)) | trans(s349, s212)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211) | trans(s349, s212))),
% 9.89/7.67 inference(rewrite,[status(thm)],[])).
% 9.89/7.67 tff(33443,plain,
% 9.89/7.67 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210)) | trans(s349, s211)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210) | trans(s349, s211))),
% 9.89/7.68 inference(rewrite,[status(thm)],[])).
% 9.89/7.68 tff(33444,plain,
% 9.89/7.68 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209)) | trans(s349, s210)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209) | trans(s349, s210))),
% 9.89/7.68 inference(rewrite,[status(thm)],[])).
% 9.89/7.68 tff(33445,plain,
% 9.89/7.68 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208)) | trans(s349, s209)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208) | trans(s349, s209))),
% 9.89/7.69 inference(rewrite,[status(thm)],[])).
% 9.89/7.69 tff(33446,plain,
% 9.89/7.69 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207)) | trans(s349, s208)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207) | trans(s349, s208))),
% 9.92/7.70 inference(rewrite,[status(thm)],[])).
% 9.92/7.70 tff(33447,plain,
% 9.92/7.70 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206)) | trans(s349, s207)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206) | trans(s349, s207))),
% 9.92/7.70 inference(rewrite,[status(thm)],[])).
% 9.92/7.70 tff(33448,plain,
% 9.92/7.70 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205)) | trans(s349, s206)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205) | trans(s349, s206))),
% 9.92/7.71 inference(rewrite,[status(thm)],[])).
% 9.92/7.71 tff(33449,plain,
% 9.92/7.71 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204)) | trans(s349, s205)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204) | trans(s349, s205))),
% 9.92/7.72 inference(rewrite,[status(thm)],[])).
% 9.92/7.72 tff(33450,plain,
% 9.92/7.72 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203)) | trans(s349, s204)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203) | trans(s349, s204))),
% 9.92/7.72 inference(rewrite,[status(thm)],[])).
% 9.92/7.72 tff(33451,plain,
% 9.92/7.72 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202)) | trans(s349, s203)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202) | trans(s349, s203))),
% 9.96/7.73 inference(rewrite,[status(thm)],[])).
% 9.96/7.73 tff(33452,plain,
% 9.96/7.73 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201)) | trans(s349, s202)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201) | trans(s349, s202))),
% 9.96/7.74 inference(rewrite,[status(thm)],[])).
% 9.96/7.74 tff(33453,plain,
% 9.96/7.74 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200)) | trans(s349, s201)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200) | trans(s349, s201))),
% 9.96/7.74 inference(rewrite,[status(thm)],[])).
% 9.96/7.74 tff(33454,plain,
% 9.96/7.74 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199)) | trans(s349, s200)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199) | trans(s349, s200))),
% 9.96/7.75 inference(rewrite,[status(thm)],[])).
% 9.96/7.75 tff(33455,plain,
% 9.96/7.75 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198)) | trans(s349, s199)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198) | trans(s349, s199))),
% 9.96/7.76 inference(rewrite,[status(thm)],[])).
% 9.96/7.76 tff(33456,plain,
% 9.96/7.76 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197)) | trans(s349, s198)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197) | trans(s349, s198))),
% 9.96/7.76 inference(rewrite,[status(thm)],[])).
% 9.96/7.76 tff(33457,plain,
% 9.96/7.76 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196)) | trans(s349, s197)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196) | trans(s349, s197))),
% 9.96/7.77 inference(rewrite,[status(thm)],[])).
% 9.96/7.77 tff(33458,plain,
% 9.96/7.77 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195)) | trans(s349, s196)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195) | trans(s349, s196))),
% 9.96/7.77 inference(rewrite,[status(thm)],[])).
% 9.96/7.77 tff(33459,plain,
% 9.96/7.77 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194)) | trans(s349, s195)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194) | trans(s349, s195))),
% 9.96/7.78 inference(rewrite,[status(thm)],[])).
% 9.96/7.78 tff(33460,plain,
% 9.96/7.78 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193)) | trans(s349, s194)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193) | trans(s349, s194))),
% 9.96/7.79 inference(rewrite,[status(thm)],[])).
% 9.96/7.79 tff(33461,plain,
% 9.96/7.79 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192)) | trans(s349, s193)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192) | trans(s349, s193))),
% 9.96/7.79 inference(rewrite,[status(thm)],[])).
% 9.96/7.79 tff(33462,plain,
% 9.96/7.79 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191)) | trans(s349, s192)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191) | trans(s349, s192))),
% 9.96/7.80 inference(rewrite,[status(thm)],[])).
% 9.96/7.80 tff(33463,plain,
% 9.96/7.80 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190)) | trans(s349, s191)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190) | trans(s349, s191))),
% 9.96/7.81 inference(rewrite,[status(thm)],[])).
% 9.96/7.81 tff(33464,plain,
% 9.96/7.81 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189)) | trans(s349, s190)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189) | trans(s349, s190))),
% 9.96/7.81 inference(rewrite,[status(thm)],[])).
% 9.96/7.81 tff(33465,plain,
% 9.96/7.81 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188)) | trans(s349, s189)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188) | trans(s349, s189))),
% 9.96/7.81 inference(rewrite,[status(thm)],[])).
% 9.96/7.81 tff(33466,plain,
% 9.96/7.81 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187)) | trans(s349, s188)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187) | trans(s349, s188))),
% 9.96/7.82 inference(rewrite,[status(thm)],[])).
% 9.96/7.82 tff(33467,plain,
% 9.96/7.82 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186)) | trans(s349, s187)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186) | trans(s349, s187))),
% 9.96/7.83 inference(rewrite,[status(thm)],[])).
% 9.96/7.83 tff(33468,plain,
% 9.96/7.83 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185)) | trans(s349, s186)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185) | trans(s349, s186))),
% 10.06/7.83 inference(rewrite,[status(thm)],[])).
% 10.06/7.83 tff(33469,plain,
% 10.06/7.83 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184)) | trans(s349, s185)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184) | trans(s349, s185))),
% 10.06/7.84 inference(rewrite,[status(thm)],[])).
% 10.06/7.84 tff(33470,plain,
% 10.06/7.84 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183)) | trans(s349, s184)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183) | trans(s349, s184))),
% 10.06/7.84 inference(rewrite,[status(thm)],[])).
% 10.06/7.84 tff(33471,plain,
% 10.06/7.84 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182)) | trans(s349, s183)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182) | trans(s349, s183))),
% 10.06/7.85 inference(rewrite,[status(thm)],[])).
% 10.06/7.85 tff(33472,plain,
% 10.06/7.85 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181)) | trans(s349, s182)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181) | trans(s349, s182))),
% 10.06/7.86 inference(rewrite,[status(thm)],[])).
% 10.06/7.86 tff(33473,plain,
% 10.06/7.86 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180)) | trans(s349, s181)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180) | trans(s349, s181))),
% 10.06/7.86 inference(rewrite,[status(thm)],[])).
% 10.06/7.86 tff(33474,plain,
% 10.06/7.86 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179)) | trans(s349, s180)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179) | trans(s349, s180))),
% 10.06/7.87 inference(rewrite,[status(thm)],[])).
% 10.06/7.87 tff(33475,plain,
% 10.06/7.87 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178)) | trans(s349, s179)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178) | trans(s349, s179))),
% 10.06/7.87 inference(rewrite,[status(thm)],[])).
% 10.06/7.87 tff(33476,plain,
% 10.06/7.87 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177)) | trans(s349, s178)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177) | trans(s349, s178))),
% 10.06/7.88 inference(rewrite,[status(thm)],[])).
% 10.06/7.88 tff(33477,plain,
% 10.06/7.88 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176)) | trans(s349, s177)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176) | trans(s349, s177))),
% 10.06/7.89 inference(rewrite,[status(thm)],[])).
% 10.06/7.89 tff(33478,plain,
% 10.06/7.89 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175)) | trans(s349, s176)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175) | trans(s349, s176))),
% 10.06/7.89 inference(rewrite,[status(thm)],[])).
% 10.06/7.89 tff(33479,plain,
% 10.06/7.89 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174)) | trans(s349, s175)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174) | trans(s349, s175))),
% 10.12/7.90 inference(rewrite,[status(thm)],[])).
% 10.12/7.90 tff(33480,plain,
% 10.12/7.90 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173)) | trans(s349, s174)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173) | trans(s349, s174))),
% 10.12/7.90 inference(rewrite,[status(thm)],[])).
% 10.12/7.90 tff(33481,plain,
% 10.12/7.90 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172)) | trans(s349, s173)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172) | trans(s349, s173))),
% 10.12/7.91 inference(rewrite,[status(thm)],[])).
% 10.12/7.91 tff(33482,plain,
% 10.12/7.91 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171)) | trans(s349, s172)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171) | trans(s349, s172))),
% 10.12/7.91 inference(rewrite,[status(thm)],[])).
% 10.12/7.91 tff(33483,plain,
% 10.12/7.91 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170)) | trans(s349, s171)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170) | trans(s349, s171))),
% 10.12/7.92 inference(rewrite,[status(thm)],[])).
% 10.12/7.92 tff(33484,plain,
% 10.12/7.92 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169)) | trans(s349, s170)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169) | trans(s349, s170))),
% 10.12/7.92 inference(rewrite,[status(thm)],[])).
% 10.12/7.92 tff(33485,plain,
% 10.12/7.92 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168)) | trans(s349, s169)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168) | trans(s349, s169))),
% 10.12/7.93 inference(rewrite,[status(thm)],[])).
% 10.12/7.93 tff(33486,plain,
% 10.12/7.93 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167)) | trans(s349, s168)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167) | trans(s349, s168))),
% 10.12/7.93 inference(rewrite,[status(thm)],[])).
% 10.12/7.94 tff(33487,plain,
% 10.12/7.94 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166)) | trans(s349, s167)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166) | trans(s349, s167))),
% 10.12/7.94 inference(rewrite,[status(thm)],[])).
% 10.12/7.94 tff(33488,plain,
% 10.12/7.94 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165)) | trans(s349, s166)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165) | trans(s349, s166))),
% 10.12/7.94 inference(rewrite,[status(thm)],[])).
% 10.12/7.94 tff(33489,plain,
% 10.12/7.94 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164)) | trans(s349, s165)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164) | trans(s349, s165))),
% 10.12/7.95 inference(rewrite,[status(thm)],[])).
% 10.12/7.95 tff(33490,plain,
% 10.12/7.95 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163)) | trans(s349, s164)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163) | trans(s349, s164))),
% 10.12/7.95 inference(rewrite,[status(thm)],[])).
% 10.12/7.95 tff(33491,plain,
% 10.12/7.95 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162)) | trans(s349, s163)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162) | trans(s349, s163))),
% 10.12/7.96 inference(rewrite,[status(thm)],[])).
% 10.12/7.96 tff(33492,plain,
% 10.12/7.96 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161)) | trans(s349, s162)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161) | trans(s349, s162))),
% 10.19/7.96 inference(rewrite,[status(thm)],[])).
% 10.19/7.96 tff(33493,plain,
% 10.19/7.96 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160)) | trans(s349, s161)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160) | trans(s349, s161))),
% 10.19/7.97 inference(rewrite,[status(thm)],[])).
% 10.19/7.97 tff(33494,plain,
% 10.19/7.97 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159)) | trans(s349, s160)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159) | trans(s349, s160))),
% 10.19/7.97 inference(rewrite,[status(thm)],[])).
% 10.19/7.97 tff(33495,plain,
% 10.19/7.97 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158)) | trans(s349, s159)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158) | trans(s349, s159))),
% 10.19/7.98 inference(rewrite,[status(thm)],[])).
% 10.19/7.98 tff(33496,plain,
% 10.19/7.98 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157)) | trans(s349, s158)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157) | trans(s349, s158))),
% 10.19/7.98 inference(rewrite,[status(thm)],[])).
% 10.19/7.98 tff(33497,plain,
% 10.19/7.98 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156)) | trans(s349, s157)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156) | trans(s349, s157))),
% 10.19/7.99 inference(rewrite,[status(thm)],[])).
% 10.19/7.99 tff(33498,plain,
% 10.19/7.99 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155)) | trans(s349, s156)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155) | trans(s349, s156))),
% 10.19/7.99 inference(rewrite,[status(thm)],[])).
% 10.19/7.99 tff(33499,plain,
% 10.19/7.99 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154)) | trans(s349, s155)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154) | trans(s349, s155))),
% 10.19/8.00 inference(rewrite,[status(thm)],[])).
% 10.19/8.00 tff(33500,plain,
% 10.19/8.00 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153)) | trans(s349, s154)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153) | trans(s349, s154))),
% 10.19/8.00 inference(rewrite,[status(thm)],[])).
% 10.19/8.00 tff(33501,plain,
% 10.19/8.00 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152)) | trans(s349, s153)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152) | trans(s349, s153))),
% 10.19/8.01 inference(rewrite,[status(thm)],[])).
% 10.19/8.01 tff(33502,plain,
% 10.19/8.01 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151)) | trans(s349, s152)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151) | trans(s349, s152))),
% 10.19/8.01 inference(rewrite,[status(thm)],[])).
% 10.19/8.01 tff(33503,plain,
% 10.19/8.01 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150)) | trans(s349, s151)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150) | trans(s349, s151))),
% 10.19/8.02 inference(rewrite,[status(thm)],[])).
% 10.19/8.02 tff(33504,plain,
% 10.19/8.02 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149)) | trans(s349, s150)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149) | trans(s349, s150))),
% 10.19/8.02 inference(rewrite,[status(thm)],[])).
% 10.19/8.02 tff(33505,plain,
% 10.19/8.02 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148)) | trans(s349, s149)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148) | trans(s349, s149))),
% 10.19/8.03 inference(rewrite,[status(thm)],[])).
% 10.19/8.03 tff(33506,plain,
% 10.19/8.03 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147)) | trans(s349, s148)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147) | trans(s349, s148))),
% 10.19/8.03 inference(rewrite,[status(thm)],[])).
% 10.19/8.03 tff(33507,plain,
% 10.19/8.03 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146)) | trans(s349, s147)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146) | trans(s349, s147))),
% 10.19/8.04 inference(rewrite,[status(thm)],[])).
% 10.19/8.04 tff(33508,plain,
% 10.19/8.04 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145)) | trans(s349, s146)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145) | trans(s349, s146))),
% 10.19/8.04 inference(rewrite,[status(thm)],[])).
% 10.19/8.04 tff(33509,plain,
% 10.19/8.04 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144)) | trans(s349, s145)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144) | trans(s349, s145))),
% 10.19/8.05 inference(rewrite,[status(thm)],[])).
% 10.19/8.05 tff(33510,plain,
% 10.19/8.05 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143)) | trans(s349, s144)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143) | trans(s349, s144))),
% 10.19/8.05 inference(rewrite,[status(thm)],[])).
% 10.19/8.05 tff(33511,plain,
% 10.19/8.05 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142)) | trans(s349, s143)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142) | trans(s349, s143))),
% 10.19/8.06 inference(rewrite,[status(thm)],[])).
% 10.19/8.06 tff(33512,plain,
% 10.19/8.06 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141)) | trans(s349, s142)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141) | trans(s349, s142))),
% 10.19/8.06 inference(rewrite,[status(thm)],[])).
% 10.19/8.06 tff(33513,plain,
% 10.19/8.06 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140)) | trans(s349, s141)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140) | trans(s349, s141))),
% 10.19/8.07 inference(rewrite,[status(thm)],[])).
% 10.19/8.07 tff(33514,plain,
% 10.19/8.07 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139)) | trans(s349, s140)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139) | trans(s349, s140))),
% 10.19/8.07 inference(rewrite,[status(thm)],[])).
% 10.19/8.07 tff(33515,plain,
% 10.19/8.07 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138)) | trans(s349, s139)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138) | trans(s349, s139))),
% 10.19/8.07 inference(rewrite,[status(thm)],[])).
% 10.19/8.07 tff(33516,plain,
% 10.19/8.07 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137)) | trans(s349, s138)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137) | trans(s349, s138))),
% 10.31/8.08 inference(rewrite,[status(thm)],[])).
% 10.31/8.08 tff(33517,plain,
% 10.31/8.08 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136)) | trans(s349, s137)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136) | trans(s349, s137))),
% 10.31/8.08 inference(rewrite,[status(thm)],[])).
% 10.31/8.08 tff(33518,plain,
% 10.31/8.08 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135)) | trans(s349, s136)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135) | trans(s349, s136))),
% 10.31/8.09 inference(rewrite,[status(thm)],[])).
% 10.31/8.09 tff(33519,plain,
% 10.31/8.09 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134)) | trans(s349, s135)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134) | trans(s349, s135))),
% 10.31/8.09 inference(rewrite,[status(thm)],[])).
% 10.31/8.09 tff(33520,plain,
% 10.31/8.09 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133)) | trans(s349, s134)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133) | trans(s349, s134))),
% 10.31/8.10 inference(rewrite,[status(thm)],[])).
% 10.31/8.10 tff(33521,plain,
% 10.31/8.10 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132)) | trans(s349, s133)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132) | trans(s349, s133))),
% 10.31/8.10 inference(rewrite,[status(thm)],[])).
% 10.31/8.10 tff(33522,plain,
% 10.31/8.10 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131)) | trans(s349, s132)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131) | trans(s349, s132))),
% 10.31/8.10 inference(rewrite,[status(thm)],[])).
% 10.31/8.10 tff(33523,plain,
% 10.31/8.10 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130)) | trans(s349, s131)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130) | trans(s349, s131))),
% 10.31/8.11 inference(rewrite,[status(thm)],[])).
% 10.31/8.11 tff(33524,plain,
% 10.31/8.11 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129)) | trans(s349, s130)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129) | trans(s349, s130))),
% 10.34/8.11 inference(rewrite,[status(thm)],[])).
% 10.34/8.11 tff(33525,plain,
% 10.34/8.11 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128)) | trans(s349, s129)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128) | trans(s349, s129))),
% 10.34/8.12 inference(rewrite,[status(thm)],[])).
% 10.34/8.12 tff(33526,plain,
% 10.34/8.12 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127)) | trans(s349, s128)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127) | trans(s349, s128))),
% 10.34/8.12 inference(rewrite,[status(thm)],[])).
% 10.34/8.12 tff(33527,plain,
% 10.34/8.12 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126)) | trans(s349, s127)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126) | trans(s349, s127))),
% 10.34/8.12 inference(rewrite,[status(thm)],[])).
% 10.34/8.12 tff(33528,plain,
% 10.34/8.12 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125)) | trans(s349, s126)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125) | trans(s349, s126))),
% 10.34/8.13 inference(rewrite,[status(thm)],[])).
% 10.34/8.13 tff(33529,plain,
% 10.34/8.13 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124)) | trans(s349, s125)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124) | trans(s349, s125))),
% 10.34/8.13 inference(rewrite,[status(thm)],[])).
% 10.34/8.13 tff(33530,plain,
% 10.34/8.13 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123)) | trans(s349, s124)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123) | trans(s349, s124))),
% 10.34/8.14 inference(rewrite,[status(thm)],[])).
% 10.34/8.14 tff(33531,plain,
% 10.34/8.14 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122)) | trans(s349, s123)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122) | trans(s349, s123))),
% 10.34/8.14 inference(rewrite,[status(thm)],[])).
% 10.34/8.14 tff(33532,plain,
% 10.34/8.14 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121)) | trans(s349, s122)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122))),
% 10.34/8.14 inference(rewrite,[status(thm)],[])).
% 10.34/8.14 tff(33533,plain,
% 10.34/8.14 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120)) | trans(s349, s121)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121))),
% 10.37/8.15 inference(rewrite,[status(thm)],[])).
% 10.37/8.15 tff(33534,plain,
% 10.37/8.15 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119)) | trans(s349, s120)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120))),
% 10.37/8.15 inference(rewrite,[status(thm)],[])).
% 10.37/8.15 tff(33535,plain,
% 10.37/8.15 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118)) | trans(s349, s119)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119))),
% 10.37/8.16 inference(rewrite,[status(thm)],[])).
% 10.37/8.16 tff(33536,plain,
% 10.37/8.16 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117)) | trans(s349, s118)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118))),
% 10.37/8.16 inference(rewrite,[status(thm)],[])).
% 10.37/8.16 tff(33537,plain,
% 10.37/8.16 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116)) | trans(s349, s117)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117))),
% 10.37/8.16 inference(rewrite,[status(thm)],[])).
% 10.37/8.16 tff(33538,plain,
% 10.37/8.16 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115)) | trans(s349, s116)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116))),
% 10.37/8.17 inference(rewrite,[status(thm)],[])).
% 10.37/8.17 tff(33539,plain,
% 10.37/8.17 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114)) | trans(s349, s115)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115))),
% 10.37/8.17 inference(rewrite,[status(thm)],[])).
% 10.37/8.17 tff(33540,plain,
% 10.37/8.17 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113)) | trans(s349, s114)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114))),
% 10.37/8.17 inference(rewrite,[status(thm)],[])).
% 10.37/8.17 tff(33541,plain,
% 10.37/8.17 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112)) | trans(s349, s113)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113))),
% 10.37/8.18 inference(rewrite,[status(thm)],[])).
% 10.37/8.18 tff(33542,plain,
% 10.37/8.18 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111)) | trans(s349, s112)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112))),
% 10.37/8.18 inference(rewrite,[status(thm)],[])).
% 10.37/8.18 tff(33543,plain,
% 10.37/8.18 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110)) | trans(s349, s111)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111))),
% 10.37/8.19 inference(rewrite,[status(thm)],[])).
% 10.37/8.19 tff(33544,plain,
% 10.37/8.19 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109)) | trans(s349, s110)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110))),
% 10.37/8.19 inference(rewrite,[status(thm)],[])).
% 10.37/8.19 tff(33545,plain,
% 10.37/8.19 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108)) | trans(s349, s109)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109))),
% 10.37/8.19 inference(rewrite,[status(thm)],[])).
% 10.37/8.19 tff(33546,plain,
% 10.37/8.19 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107)) | trans(s349, s108)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108))),
% 10.37/8.20 inference(rewrite,[status(thm)],[])).
% 10.37/8.20 tff(33547,plain,
% 10.37/8.20 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106)) | trans(s349, s107)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107))),
% 10.37/8.20 inference(rewrite,[status(thm)],[])).
% 10.37/8.20 tff(33548,plain,
% 10.37/8.20 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105)) | trans(s349, s106)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106))),
% 10.37/8.20 inference(rewrite,[status(thm)],[])).
% 10.37/8.20 tff(33549,plain,
% 10.37/8.20 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104)) | trans(s349, s105)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105))),
% 10.37/8.21 inference(rewrite,[status(thm)],[])).
% 10.37/8.21 tff(33550,plain,
% 10.37/8.21 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103)) | trans(s349, s104)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104))),
% 10.37/8.21 inference(rewrite,[status(thm)],[])).
% 10.37/8.21 tff(33551,plain,
% 10.37/8.21 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102)) | trans(s349, s103)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103))),
% 10.37/8.21 inference(rewrite,[status(thm)],[])).
% 10.37/8.21 tff(33552,plain,
% 10.37/8.21 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101)) | trans(s349, s102)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102))),
% 10.37/8.22 inference(rewrite,[status(thm)],[])).
% 10.37/8.22 tff(33553,plain,
% 10.37/8.22 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100)) | trans(s349, s101)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101))),
% 10.37/8.22 inference(rewrite,[status(thm)],[])).
% 10.37/8.22 tff(33554,plain,
% 10.37/8.22 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99)) | trans(s349, s100)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100))),
% 10.37/8.22 inference(rewrite,[status(thm)],[])).
% 10.37/8.22 tff(33555,plain,
% 10.37/8.22 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98)) | trans(s349, s99)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99))),
% 10.37/8.22 inference(rewrite,[status(thm)],[])).
% 10.37/8.22 tff(33556,plain,
% 10.37/8.22 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97)) | trans(s349, s98)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98))),
% 10.37/8.23 inference(rewrite,[status(thm)],[])).
% 10.37/8.23 tff(33557,plain,
% 10.37/8.23 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96)) | trans(s349, s97)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97))),
% 10.37/8.23 inference(rewrite,[status(thm)],[])).
% 10.46/8.23 tff(33558,plain,
% 10.46/8.23 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95)) | trans(s349, s96)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96))),
% 10.46/8.23 inference(rewrite,[status(thm)],[])).
% 10.46/8.23 tff(33559,plain,
% 10.46/8.23 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94)) | trans(s349, s95)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95))),
% 10.46/8.23 inference(rewrite,[status(thm)],[])).
% 10.46/8.23 tff(33560,plain,
% 10.46/8.23 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93)) | trans(s349, s94)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94))),
% 10.46/8.24 inference(rewrite,[status(thm)],[])).
% 10.46/8.24 tff(33561,plain,
% 10.46/8.24 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92)) | trans(s349, s93)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93))),
% 10.46/8.24 inference(rewrite,[status(thm)],[])).
% 10.46/8.24 tff(33562,plain,
% 10.46/8.24 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91)) | trans(s349, s92)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92))),
% 10.46/8.24 inference(rewrite,[status(thm)],[])).
% 10.46/8.24 tff(33563,plain,
% 10.46/8.24 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90)) | trans(s349, s91)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91))),
% 10.46/8.25 inference(rewrite,[status(thm)],[])).
% 10.46/8.25 tff(33564,plain,
% 10.46/8.25 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89)) | trans(s349, s90)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90))),
% 10.46/8.25 inference(rewrite,[status(thm)],[])).
% 10.46/8.25 tff(33565,plain,
% 10.46/8.25 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88)) | trans(s349, s89)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89))),
% 10.46/8.25 inference(rewrite,[status(thm)],[])).
% 10.46/8.25 tff(33566,plain,
% 10.46/8.25 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87)) | trans(s349, s88)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88))),
% 10.46/8.25 inference(rewrite,[status(thm)],[])).
% 10.46/8.25 tff(33567,plain,
% 10.46/8.25 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86)) | trans(s349, s87)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87))),
% 10.46/8.26 inference(rewrite,[status(thm)],[])).
% 10.46/8.26 tff(33568,plain,
% 10.46/8.26 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85)) | trans(s349, s86)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86))),
% 10.46/8.26 inference(rewrite,[status(thm)],[])).
% 10.46/8.26 tff(33569,plain,
% 10.46/8.26 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84)) | trans(s349, s85)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85))),
% 10.46/8.26 inference(rewrite,[status(thm)],[])).
% 10.46/8.26 tff(33570,plain,
% 10.46/8.26 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83)) | trans(s349, s84)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84))),
% 10.46/8.27 inference(rewrite,[status(thm)],[])).
% 10.46/8.27 tff(33571,plain,
% 10.46/8.27 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82)) | trans(s349, s83)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83))),
% 10.46/8.27 inference(rewrite,[status(thm)],[])).
% 10.46/8.27 tff(33572,plain,
% 10.46/8.27 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81)) | trans(s349, s82)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82))),
% 10.46/8.27 inference(rewrite,[status(thm)],[])).
% 10.46/8.27 tff(33573,plain,
% 10.46/8.27 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80)) | trans(s349, s81)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81))),
% 10.46/8.27 inference(rewrite,[status(thm)],[])).
% 10.46/8.27 tff(33574,plain,
% 10.46/8.27 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79)) | trans(s349, s80)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80))),
% 10.46/8.28 inference(rewrite,[status(thm)],[])).
% 10.46/8.28 tff(33575,plain,
% 10.46/8.28 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78)) | trans(s349, s79)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79))),
% 10.51/8.28 inference(rewrite,[status(thm)],[])).
% 10.51/8.28 tff(33576,plain,
% 10.51/8.28 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77)) | trans(s349, s78)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78))),
% 10.51/8.28 inference(rewrite,[status(thm)],[])).
% 10.51/8.28 tff(33577,plain,
% 10.51/8.28 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76)) | trans(s349, s77)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77))),
% 10.51/8.28 inference(rewrite,[status(thm)],[])).
% 10.51/8.28 tff(33578,plain,
% 10.51/8.28 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75)) | trans(s349, s76)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76))),
% 10.51/8.29 inference(rewrite,[status(thm)],[])).
% 10.51/8.29 tff(33579,plain,
% 10.51/8.29 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74)) | trans(s349, s75)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75))),
% 10.51/8.29 inference(rewrite,[status(thm)],[])).
% 10.51/8.29 tff(33580,plain,
% 10.51/8.29 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73)) | trans(s349, s74)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74))),
% 10.51/8.29 inference(rewrite,[status(thm)],[])).
% 10.51/8.29 tff(33581,plain,
% 10.51/8.29 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72)) | trans(s349, s73)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73))),
% 10.51/8.29 inference(rewrite,[status(thm)],[])).
% 10.51/8.29 tff(33582,plain,
% 10.51/8.29 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71)) | trans(s349, s72)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72))),
% 10.51/8.30 inference(rewrite,[status(thm)],[])).
% 10.51/8.30 tff(33583,plain,
% 10.51/8.30 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70)) | trans(s349, s71)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71))),
% 10.51/8.30 inference(rewrite,[status(thm)],[])).
% 10.51/8.30 tff(33584,plain,
% 10.51/8.30 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69)) | trans(s349, s70)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70))),
% 10.51/8.30 inference(rewrite,[status(thm)],[])).
% 10.51/8.30 tff(33585,plain,
% 10.51/8.30 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68)) | trans(s349, s69)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69))),
% 10.51/8.30 inference(rewrite,[status(thm)],[])).
% 10.51/8.30 tff(33586,plain,
% 10.51/8.30 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67)) | trans(s349, s68)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68))),
% 10.51/8.30 inference(rewrite,[status(thm)],[])).
% 10.51/8.30 tff(33587,plain,
% 10.51/8.30 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66)) | trans(s349, s67)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67))),
% 10.51/8.31 inference(rewrite,[status(thm)],[])).
% 10.51/8.31 tff(33588,plain,
% 10.51/8.31 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65)) | trans(s349, s66)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66))),
% 10.51/8.31 inference(rewrite,[status(thm)],[])).
% 10.51/8.31 tff(33589,plain,
% 10.51/8.31 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64)) | trans(s349, s65)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65))),
% 10.51/8.31 inference(rewrite,[status(thm)],[])).
% 10.51/8.31 tff(33590,plain,
% 10.51/8.31 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63)) | trans(s349, s64)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64))),
% 10.51/8.31 inference(rewrite,[status(thm)],[])).
% 10.51/8.31 tff(33591,plain,
% 10.51/8.31 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62)) | trans(s349, s63)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63))),
% 10.51/8.31 inference(rewrite,[status(thm)],[])).
% 10.51/8.31 tff(33592,plain,
% 10.51/8.31 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61)) | trans(s349, s62)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62))),
% 10.51/8.32 inference(rewrite,[status(thm)],[])).
% 10.51/8.32 tff(33593,plain,
% 10.51/8.32 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60)) | trans(s349, s61)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61))),
% 10.51/8.32 inference(rewrite,[status(thm)],[])).
% 10.51/8.32 tff(33594,plain,
% 10.51/8.32 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59)) | trans(s349, s60)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60))),
% 10.51/8.32 inference(rewrite,[status(thm)],[])).
% 10.51/8.32 tff(33595,plain,
% 10.51/8.32 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58)) | trans(s349, s59)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59))),
% 10.51/8.32 inference(rewrite,[status(thm)],[])).
% 10.51/8.32 tff(33596,plain,
% 10.51/8.32 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57)) | trans(s349, s58)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58))),
% 10.51/8.32 inference(rewrite,[status(thm)],[])).
% 10.51/8.32 tff(33597,plain,
% 10.51/8.32 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56)) | trans(s349, s57)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57))),
% 10.51/8.33 inference(rewrite,[status(thm)],[])).
% 10.51/8.33 tff(33598,plain,
% 10.51/8.33 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55)) | trans(s349, s56)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56))),
% 10.51/8.33 inference(rewrite,[status(thm)],[])).
% 10.51/8.33 tff(33599,plain,
% 10.51/8.33 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54)) | trans(s349, s55)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55))),
% 10.51/8.33 inference(rewrite,[status(thm)],[])).
% 10.51/8.33 tff(33600,plain,
% 10.51/8.33 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53)) | trans(s349, s54)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54))),
% 10.51/8.33 inference(rewrite,[status(thm)],[])).
% 10.51/8.33 tff(33601,plain,
% 10.51/8.33 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52)) | trans(s349, s53)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53))),
% 10.51/8.33 inference(rewrite,[status(thm)],[])).
% 10.51/8.33 tff(33602,plain,
% 10.51/8.33 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51)) | trans(s349, s52)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52))),
% 10.51/8.34 inference(rewrite,[status(thm)],[])).
% 10.51/8.34 tff(33603,plain,
% 10.51/8.34 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50)) | trans(s349, s51)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51))),
% 10.51/8.34 inference(rewrite,[status(thm)],[])).
% 10.51/8.34 tff(33604,plain,
% 10.51/8.34 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49)) | trans(s349, s50)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50))),
% 10.51/8.34 inference(rewrite,[status(thm)],[])).
% 10.51/8.34 tff(33605,plain,
% 10.51/8.34 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48)) | trans(s349, s49)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49))),
% 10.51/8.34 inference(rewrite,[status(thm)],[])).
% 10.51/8.34 tff(33606,plain,
% 10.51/8.34 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47)) | trans(s349, s48)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48))),
% 10.51/8.34 inference(rewrite,[status(thm)],[])).
% 10.51/8.34 tff(33607,plain,
% 10.51/8.34 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46)) | trans(s349, s47)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47))),
% 10.51/8.34 inference(rewrite,[status(thm)],[])).
% 10.51/8.34 tff(33608,plain,
% 10.51/8.34 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45)) | trans(s349, s46)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46))),
% 10.51/8.34 inference(rewrite,[status(thm)],[])).
% 10.51/8.34 tff(33609,plain,
% 10.51/8.34 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44)) | trans(s349, s45)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45))),
% 10.51/8.35 inference(rewrite,[status(thm)],[])).
% 10.51/8.35 tff(33610,plain,
% 10.51/8.35 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43)) | trans(s349, s44)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44))),
% 10.51/8.35 inference(rewrite,[status(thm)],[])).
% 10.51/8.35 tff(33611,plain,
% 10.51/8.35 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42)) | trans(s349, s43)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43))),
% 10.57/8.35 inference(rewrite,[status(thm)],[])).
% 10.57/8.35 tff(33612,plain,
% 10.57/8.35 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41)) | trans(s349, s42)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42))),
% 10.57/8.35 inference(rewrite,[status(thm)],[])).
% 10.57/8.35 tff(33613,plain,
% 10.57/8.35 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40)) | trans(s349, s41)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41))),
% 10.57/8.35 inference(rewrite,[status(thm)],[])).
% 10.57/8.35 tff(33614,plain,
% 10.57/8.35 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39)) | trans(s349, s40)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40))),
% 10.57/8.35 inference(rewrite,[status(thm)],[])).
% 10.57/8.35 tff(33615,plain,
% 10.57/8.35 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38)) | trans(s349, s39)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39))),
% 10.57/8.35 inference(rewrite,[status(thm)],[])).
% 10.57/8.35 tff(33616,plain,
% 10.57/8.35 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37)) | trans(s349, s38)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38))),
% 10.57/8.35 inference(rewrite,[status(thm)],[])).
% 10.57/8.36 tff(33617,plain,
% 10.57/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36)) | trans(s349, s37)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37))),
% 10.57/8.36 inference(rewrite,[status(thm)],[])).
% 10.57/8.36 tff(33618,plain,
% 10.57/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35)) | trans(s349, s36)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36))),
% 10.57/8.36 inference(rewrite,[status(thm)],[])).
% 10.57/8.36 tff(33619,plain,
% 10.57/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34)) | trans(s349, s35)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35))),
% 10.57/8.36 inference(rewrite,[status(thm)],[])).
% 10.57/8.36 tff(33620,plain,
% 10.57/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33)) | trans(s349, s34)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34))),
% 10.57/8.36 inference(rewrite,[status(thm)],[])).
% 10.57/8.36 tff(33621,plain,
% 10.57/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32)) | trans(s349, s33)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33))),
% 10.57/8.36 inference(rewrite,[status(thm)],[])).
% 10.57/8.36 tff(33622,plain,
% 10.57/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31)) | trans(s349, s32)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32))),
% 10.57/8.36 inference(rewrite,[status(thm)],[])).
% 10.57/8.36 tff(33623,plain,
% 10.57/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30)) | trans(s349, s31)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31))),
% 10.57/8.36 inference(rewrite,[status(thm)],[])).
% 10.57/8.36 tff(33624,plain,
% 10.57/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29)) | trans(s349, s30)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30))),
% 10.57/8.36 inference(rewrite,[status(thm)],[])).
% 10.57/8.36 tff(33625,plain,
% 10.57/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28)) | trans(s349, s29)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29))),
% 10.59/8.36 inference(rewrite,[status(thm)],[])).
% 10.59/8.36 tff(33626,plain,
% 10.59/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27)) | trans(s349, s28)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28))),
% 10.59/8.36 inference(rewrite,[status(thm)],[])).
% 10.59/8.36 tff(33627,plain,
% 10.59/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26)) | trans(s349, s27)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27))),
% 10.59/8.36 inference(rewrite,[status(thm)],[])).
% 10.59/8.36 tff(33628,plain,
% 10.59/8.36 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25)) | trans(s349, s26)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33629,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24)) | trans(s349, s25)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33630,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23)) | trans(s349, s24)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33631,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22)) | trans(s349, s23)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33632,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21)) | trans(s349, s22)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33633,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20)) | trans(s349, s21)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33634,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19)) | trans(s349, s20)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33635,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18)) | trans(s349, s19)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33636,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17)) | trans(s349, s18)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33637,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16)) | trans(s349, s17)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33638,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15)) | trans(s349, s16)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33639,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14)) | trans(s349, s15)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33640,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13)) | trans(s349, s14)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33641,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12)) | trans(s349, s13)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33642,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11)) | trans(s349, s12)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33643,plain,
% 10.59/8.37 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10)) | trans(s349, s11)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11))),
% 10.59/8.37 inference(rewrite,[status(thm)],[])).
% 10.59/8.37 tff(33644,plain,
% 10.59/8.38 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9)) | trans(s349, s10)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10))),
% 10.59/8.38 inference(rewrite,[status(thm)],[])).
% 10.59/8.38 tff(33645,plain,
% 10.59/8.38 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8)) | trans(s349, s9)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9))),
% 10.59/8.38 inference(rewrite,[status(thm)],[])).
% 10.59/8.38 tff(33646,plain,
% 10.59/8.38 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7)) | trans(s349, s8)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8))),
% 10.59/8.38 inference(rewrite,[status(thm)],[])).
% 10.59/8.38 tff(33647,plain,
% 10.59/8.38 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6)) | trans(s349, s7)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7))),
% 10.59/8.38 inference(rewrite,[status(thm)],[])).
% 10.59/8.38 tff(33648,plain,
% 10.59/8.38 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5)) | trans(s349, s6)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6))),
% 10.59/8.38 inference(rewrite,[status(thm)],[])).
% 10.59/8.38 tff(33649,plain,
% 10.59/8.38 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4)) | trans(s349, s5)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5))),
% 10.59/8.38 inference(rewrite,[status(thm)],[])).
% 10.59/8.38 tff(33650,plain,
% 10.59/8.38 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3)) | trans(s349, s4)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4))),
% 10.59/8.38 inference(rewrite,[status(thm)],[])).
% 10.59/8.38 tff(33651,plain,
% 10.59/8.38 ((((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2)) | trans(s349, s3)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3))),
% 10.59/8.38 inference(rewrite,[status(thm)],[])).
% 10.59/8.38 tff(33652,plain,
% 10.59/8.38 ((((~loop) | trans(s349, s0) | trans(s349, s1)) | trans(s349, s2)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2))),
% 10.59/8.38 inference(rewrite,[status(thm)],[])).
% 10.59/8.38 tff(33653,plain,
% 10.59/8.38 ((((~loop) | trans(s349, s0)) | trans(s349, s1)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1))),
% 10.59/8.38 inference(rewrite,[status(thm)],[])).
% 10.59/8.38 tff(33654,plain,
% 10.59/8.38 (((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1)) | trans(s349, s2))),
% 10.59/8.38 inference(monotonicity,[status(thm)],[33653])).
% 10.59/8.38 tff(33655,plain,
% 10.59/8.38 (((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2))),
% 10.59/8.38 inference(transitivity,[status(thm)],[33654, 33652])).
% 10.59/8.38 tff(33656,plain,
% 10.59/8.38 ((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2)) | trans(s349, s3))),
% 10.59/8.38 inference(monotonicity,[status(thm)],[33655])).
% 10.59/8.38 tff(33657,plain,
% 10.59/8.38 ((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3))),
% 10.59/8.38 inference(transitivity,[status(thm)],[33656, 33651])).
% 10.59/8.38 tff(33658,plain,
% 10.59/8.38 (((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3)) | trans(s349, s4))),
% 10.59/8.38 inference(monotonicity,[status(thm)],[33657])).
% 10.59/8.38 tff(33659,plain,
% 10.59/8.38 (((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4))),
% 10.59/8.38 inference(transitivity,[status(thm)],[33658, 33650])).
% 10.59/8.38 tff(33660,plain,
% 10.59/8.38 ((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4)) | trans(s349, s5))),
% 10.59/8.38 inference(monotonicity,[status(thm)],[33659])).
% 10.59/8.38 tff(33661,plain,
% 10.59/8.38 ((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5))),
% 10.59/8.38 inference(transitivity,[status(thm)],[33660, 33649])).
% 10.59/8.38 tff(33662,plain,
% 10.59/8.38 (((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5)) | trans(s349, s6))),
% 10.59/8.38 inference(monotonicity,[status(thm)],[33661])).
% 10.59/8.38 tff(33663,plain,
% 10.59/8.38 (((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6))),
% 10.59/8.38 inference(transitivity,[status(thm)],[33662, 33648])).
% 10.59/8.38 tff(33664,plain,
% 10.59/8.38 ((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6)) | trans(s349, s7))),
% 10.59/8.38 inference(monotonicity,[status(thm)],[33663])).
% 10.59/8.38 tff(33665,plain,
% 10.59/8.38 ((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7))),
% 10.59/8.38 inference(transitivity,[status(thm)],[33664, 33647])).
% 10.59/8.38 tff(33666,plain,
% 10.59/8.38 (((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7)) | trans(s349, s8))),
% 10.59/8.38 inference(monotonicity,[status(thm)],[33665])).
% 10.59/8.38 tff(33667,plain,
% 10.59/8.38 (((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8))),
% 10.59/8.38 inference(transitivity,[status(thm)],[33666, 33646])).
% 10.59/8.38 tff(33668,plain,
% 10.59/8.38 ((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8)) | trans(s349, s9))),
% 10.59/8.38 inference(monotonicity,[status(thm)],[33667])).
% 10.59/8.38 tff(33669,plain,
% 10.59/8.38 ((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9))),
% 10.59/8.38 inference(transitivity,[status(thm)],[33668, 33645])).
% 10.59/8.38 tff(33670,plain,
% 10.59/8.38 (((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9)) | trans(s349, s10))),
% 10.59/8.38 inference(monotonicity,[status(thm)],[33669])).
% 10.59/8.38 tff(33671,plain,
% 10.59/8.38 (((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10))),
% 10.59/8.38 inference(transitivity,[status(thm)],[33670, 33644])).
% 10.59/8.38 tff(33672,plain,
% 10.59/8.38 ((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10)) | trans(s349, s11))),
% 10.59/8.38 inference(monotonicity,[status(thm)],[33671])).
% 10.59/8.38 tff(33673,plain,
% 10.59/8.38 ((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11))),
% 10.59/8.38 inference(transitivity,[status(thm)],[33672, 33643])).
% 10.59/8.38 tff(33674,plain,
% 10.59/8.38 (((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11)) | trans(s349, s12))),
% 10.59/8.38 inference(monotonicity,[status(thm)],[33673])).
% 10.59/8.38 tff(33675,plain,
% 10.59/8.38 (((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12))),
% 10.59/8.38 inference(transitivity,[status(thm)],[33674, 33642])).
% 10.59/8.38 tff(33676,plain,
% 10.59/8.38 ((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12)) | trans(s349, s13))),
% 10.59/8.39 inference(monotonicity,[status(thm)],[33675])).
% 10.59/8.39 tff(33677,plain,
% 10.59/8.39 ((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13))),
% 10.59/8.39 inference(transitivity,[status(thm)],[33676, 33641])).
% 10.59/8.39 tff(33678,plain,
% 10.59/8.39 (((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13)) | trans(s349, s14))),
% 10.59/8.39 inference(monotonicity,[status(thm)],[33677])).
% 10.59/8.39 tff(33679,plain,
% 10.59/8.39 (((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14))),
% 10.59/8.39 inference(transitivity,[status(thm)],[33678, 33640])).
% 10.59/8.39 tff(33680,plain,
% 10.59/8.39 ((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14)) | trans(s349, s15))),
% 10.59/8.39 inference(monotonicity,[status(thm)],[33679])).
% 10.59/8.39 tff(33681,plain,
% 10.59/8.39 ((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15))),
% 10.59/8.39 inference(transitivity,[status(thm)],[33680, 33639])).
% 10.59/8.39 tff(33682,plain,
% 10.59/8.39 (((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15)) | trans(s349, s16))),
% 10.59/8.39 inference(monotonicity,[status(thm)],[33681])).
% 10.59/8.39 tff(33683,plain,
% 10.59/8.39 (((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16))),
% 10.59/8.39 inference(transitivity,[status(thm)],[33682, 33638])).
% 10.59/8.39 tff(33684,plain,
% 10.59/8.39 ((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16)) | trans(s349, s17))),
% 10.59/8.39 inference(monotonicity,[status(thm)],[33683])).
% 10.59/8.39 tff(33685,plain,
% 10.59/8.39 ((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17))),
% 10.59/8.39 inference(transitivity,[status(thm)],[33684, 33637])).
% 10.59/8.39 tff(33686,plain,
% 10.59/8.39 (((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17)) | trans(s349, s18))),
% 10.59/8.39 inference(monotonicity,[status(thm)],[33685])).
% 10.59/8.39 tff(33687,plain,
% 10.59/8.39 (((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18))),
% 10.59/8.39 inference(transitivity,[status(thm)],[33686, 33636])).
% 10.59/8.39 tff(33688,plain,
% 10.59/8.39 ((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18)) | trans(s349, s19))),
% 10.59/8.39 inference(monotonicity,[status(thm)],[33687])).
% 10.59/8.39 tff(33689,plain,
% 10.59/8.39 ((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19))),
% 10.59/8.39 inference(transitivity,[status(thm)],[33688, 33635])).
% 10.59/8.39 tff(33690,plain,
% 10.59/8.39 (((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19)) | trans(s349, s20))),
% 10.59/8.39 inference(monotonicity,[status(thm)],[33689])).
% 10.59/8.39 tff(33691,plain,
% 10.59/8.39 (((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20))),
% 10.59/8.40 inference(transitivity,[status(thm)],[33690, 33634])).
% 10.59/8.40 tff(33692,plain,
% 10.59/8.40 ((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20)) | trans(s349, s21))),
% 10.59/8.40 inference(monotonicity,[status(thm)],[33691])).
% 10.59/8.40 tff(33693,plain,
% 10.59/8.40 ((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21))),
% 10.59/8.40 inference(transitivity,[status(thm)],[33692, 33633])).
% 10.59/8.40 tff(33694,plain,
% 10.59/8.40 (((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21)) | trans(s349, s22))),
% 10.59/8.40 inference(monotonicity,[status(thm)],[33693])).
% 10.59/8.40 tff(33695,plain,
% 10.59/8.40 (((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22))),
% 10.59/8.40 inference(transitivity,[status(thm)],[33694, 33632])).
% 10.59/8.40 tff(33696,plain,
% 10.59/8.40 ((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22)) | trans(s349, s23))),
% 10.59/8.40 inference(monotonicity,[status(thm)],[33695])).
% 10.59/8.40 tff(33697,plain,
% 10.59/8.40 ((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23))),
% 10.59/8.40 inference(transitivity,[status(thm)],[33696, 33631])).
% 10.59/8.40 tff(33698,plain,
% 10.59/8.40 (((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23)) | trans(s349, s24))),
% 10.59/8.40 inference(monotonicity,[status(thm)],[33697])).
% 10.59/8.40 tff(33699,plain,
% 10.59/8.40 (((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24))),
% 10.59/8.40 inference(transitivity,[status(thm)],[33698, 33630])).
% 10.59/8.40 tff(33700,plain,
% 10.59/8.40 ((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24)) | trans(s349, s25))),
% 10.59/8.40 inference(monotonicity,[status(thm)],[33699])).
% 10.59/8.40 tff(33701,plain,
% 10.59/8.40 ((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25))),
% 10.59/8.40 inference(transitivity,[status(thm)],[33700, 33629])).
% 10.59/8.40 tff(33702,plain,
% 10.59/8.40 (((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25)) | trans(s349, s26))),
% 10.59/8.40 inference(monotonicity,[status(thm)],[33701])).
% 10.59/8.40 tff(33703,plain,
% 10.59/8.40 (((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26))),
% 10.59/8.40 inference(transitivity,[status(thm)],[33702, 33628])).
% 10.59/8.40 tff(33704,plain,
% 10.59/8.40 ((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26)) | trans(s349, s27))),
% 10.59/8.40 inference(monotonicity,[status(thm)],[33703])).
% 10.59/8.40 tff(33705,plain,
% 10.59/8.40 ((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27))),
% 10.59/8.40 inference(transitivity,[status(thm)],[33704, 33627])).
% 10.59/8.40 tff(33706,plain,
% 10.59/8.40 (((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27)) | trans(s349, s28))),
% 10.59/8.41 inference(monotonicity,[status(thm)],[33705])).
% 10.59/8.41 tff(33707,plain,
% 10.59/8.41 (((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28))),
% 10.59/8.41 inference(transitivity,[status(thm)],[33706, 33626])).
% 10.59/8.41 tff(33708,plain,
% 10.59/8.41 ((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28)) | trans(s349, s29))),
% 10.59/8.41 inference(monotonicity,[status(thm)],[33707])).
% 10.59/8.41 tff(33709,plain,
% 10.59/8.41 ((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29))),
% 10.59/8.41 inference(transitivity,[status(thm)],[33708, 33625])).
% 10.59/8.41 tff(33710,plain,
% 10.59/8.41 (((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29)) | trans(s349, s30))),
% 10.59/8.41 inference(monotonicity,[status(thm)],[33709])).
% 10.59/8.41 tff(33711,plain,
% 10.59/8.41 (((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30))),
% 10.59/8.41 inference(transitivity,[status(thm)],[33710, 33624])).
% 10.59/8.41 tff(33712,plain,
% 10.59/8.41 ((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30)) | trans(s349, s31))),
% 10.59/8.41 inference(monotonicity,[status(thm)],[33711])).
% 10.59/8.41 tff(33713,plain,
% 10.59/8.41 ((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31))),
% 10.64/8.41 inference(transitivity,[status(thm)],[33712, 33623])).
% 10.64/8.41 tff(33714,plain,
% 10.64/8.41 (((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31)) | trans(s349, s32))),
% 10.64/8.41 inference(monotonicity,[status(thm)],[33713])).
% 10.64/8.41 tff(33715,plain,
% 10.64/8.41 (((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32))),
% 10.64/8.41 inference(transitivity,[status(thm)],[33714, 33622])).
% 10.64/8.41 tff(33716,plain,
% 10.64/8.41 ((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32)) | trans(s349, s33))),
% 10.64/8.42 inference(monotonicity,[status(thm)],[33715])).
% 10.64/8.42 tff(33717,plain,
% 10.64/8.42 ((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33))),
% 10.64/8.42 inference(transitivity,[status(thm)],[33716, 33621])).
% 10.64/8.42 tff(33718,plain,
% 10.64/8.42 (((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33)) | trans(s349, s34))),
% 10.64/8.42 inference(monotonicity,[status(thm)],[33717])).
% 10.64/8.42 tff(33719,plain,
% 10.64/8.42 (((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34))),
% 10.64/8.42 inference(transitivity,[status(thm)],[33718, 33620])).
% 10.64/8.42 tff(33720,plain,
% 10.64/8.42 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34)) | trans(s349, s35))),
% 10.64/8.42 inference(monotonicity,[status(thm)],[33719])).
% 10.64/8.42 tff(33721,plain,
% 10.64/8.42 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35))),
% 10.64/8.42 inference(transitivity,[status(thm)],[33720, 33619])).
% 10.64/8.42 tff(33722,plain,
% 10.64/8.42 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35)) | trans(s349, s36))),
% 10.64/8.42 inference(monotonicity,[status(thm)],[33721])).
% 10.64/8.42 tff(33723,plain,
% 10.64/8.42 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36))),
% 10.64/8.42 inference(transitivity,[status(thm)],[33722, 33618])).
% 10.64/8.42 tff(33724,plain,
% 10.64/8.42 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36)) | trans(s349, s37))),
% 10.64/8.43 inference(monotonicity,[status(thm)],[33723])).
% 10.64/8.43 tff(33725,plain,
% 10.64/8.43 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37))),
% 10.64/8.43 inference(transitivity,[status(thm)],[33724, 33617])).
% 10.64/8.43 tff(33726,plain,
% 10.64/8.43 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37)) | trans(s349, s38))),
% 10.64/8.43 inference(monotonicity,[status(thm)],[33725])).
% 10.64/8.43 tff(33727,plain,
% 10.64/8.43 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38))),
% 10.64/8.43 inference(transitivity,[status(thm)],[33726, 33616])).
% 10.64/8.43 tff(33728,plain,
% 10.64/8.43 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38)) | trans(s349, s39))),
% 10.64/8.43 inference(monotonicity,[status(thm)],[33727])).
% 10.64/8.43 tff(33729,plain,
% 10.64/8.43 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39))),
% 10.64/8.43 inference(transitivity,[status(thm)],[33728, 33615])).
% 10.64/8.43 tff(33730,plain,
% 10.64/8.43 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39)) | trans(s349, s40))),
% 10.64/8.43 inference(monotonicity,[status(thm)],[33729])).
% 10.64/8.43 tff(33731,plain,
% 10.64/8.43 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40))),
% 10.64/8.44 inference(transitivity,[status(thm)],[33730, 33614])).
% 10.64/8.44 tff(33732,plain,
% 10.64/8.44 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40)) | trans(s349, s41))),
% 10.64/8.44 inference(monotonicity,[status(thm)],[33731])).
% 10.64/8.44 tff(33733,plain,
% 10.64/8.44 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41))),
% 10.64/8.44 inference(transitivity,[status(thm)],[33732, 33613])).
% 10.64/8.44 tff(33734,plain,
% 10.64/8.44 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41)) | trans(s349, s42))),
% 10.64/8.44 inference(monotonicity,[status(thm)],[33733])).
% 10.64/8.44 tff(33735,plain,
% 10.64/8.44 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42))),
% 10.64/8.44 inference(transitivity,[status(thm)],[33734, 33612])).
% 10.64/8.44 tff(33736,plain,
% 10.64/8.44 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42)) | trans(s349, s43))),
% 10.64/8.44 inference(monotonicity,[status(thm)],[33735])).
% 10.64/8.44 tff(33737,plain,
% 10.64/8.44 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43))),
% 10.64/8.44 inference(transitivity,[status(thm)],[33736, 33611])).
% 10.64/8.44 tff(33738,plain,
% 10.64/8.44 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43)) | trans(s349, s44))),
% 10.67/8.45 inference(monotonicity,[status(thm)],[33737])).
% 10.67/8.45 tff(33739,plain,
% 10.67/8.45 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44))),
% 10.67/8.45 inference(transitivity,[status(thm)],[33738, 33610])).
% 10.67/8.45 tff(33740,plain,
% 10.67/8.45 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44)) | trans(s349, s45))),
% 10.67/8.45 inference(monotonicity,[status(thm)],[33739])).
% 10.67/8.45 tff(33741,plain,
% 10.67/8.45 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45))),
% 10.67/8.45 inference(transitivity,[status(thm)],[33740, 33609])).
% 10.67/8.45 tff(33742,plain,
% 10.67/8.45 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45)) | trans(s349, s46))),
% 10.67/8.45 inference(monotonicity,[status(thm)],[33741])).
% 10.67/8.45 tff(33743,plain,
% 10.67/8.45 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46))),
% 10.67/8.45 inference(transitivity,[status(thm)],[33742, 33608])).
% 10.67/8.45 tff(33744,plain,
% 10.67/8.45 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46)) | trans(s349, s47))),
% 10.67/8.45 inference(monotonicity,[status(thm)],[33743])).
% 10.67/8.45 tff(33745,plain,
% 10.67/8.45 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47))),
% 10.67/8.45 inference(transitivity,[status(thm)],[33744, 33607])).
% 10.67/8.45 tff(33746,plain,
% 10.67/8.45 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47)) | trans(s349, s48))),
% 10.67/8.46 inference(monotonicity,[status(thm)],[33745])).
% 10.67/8.46 tff(33747,plain,
% 10.67/8.46 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48))),
% 10.67/8.46 inference(transitivity,[status(thm)],[33746, 33606])).
% 10.67/8.46 tff(33748,plain,
% 10.67/8.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48)) | trans(s349, s49))),
% 10.67/8.46 inference(monotonicity,[status(thm)],[33747])).
% 10.67/8.46 tff(33749,plain,
% 10.67/8.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49))),
% 10.67/8.46 inference(transitivity,[status(thm)],[33748, 33605])).
% 10.67/8.46 tff(33750,plain,
% 10.67/8.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49)) | trans(s349, s50))),
% 10.67/8.46 inference(monotonicity,[status(thm)],[33749])).
% 10.67/8.46 tff(33751,plain,
% 10.67/8.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50))),
% 10.67/8.46 inference(transitivity,[status(thm)],[33750, 33604])).
% 10.67/8.46 tff(33752,plain,
% 10.67/8.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50)) | trans(s349, s51))),
% 10.67/8.47 inference(monotonicity,[status(thm)],[33751])).
% 10.67/8.47 tff(33753,plain,
% 10.67/8.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51))),
% 10.67/8.47 inference(transitivity,[status(thm)],[33752, 33603])).
% 10.67/8.47 tff(33754,plain,
% 10.67/8.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51)) | trans(s349, s52))),
% 10.67/8.47 inference(monotonicity,[status(thm)],[33753])).
% 10.67/8.47 tff(33755,plain,
% 10.67/8.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52))),
% 10.67/8.47 inference(transitivity,[status(thm)],[33754, 33602])).
% 10.67/8.47 tff(33756,plain,
% 10.67/8.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52)) | trans(s349, s53))),
% 10.67/8.47 inference(monotonicity,[status(thm)],[33755])).
% 10.67/8.47 tff(33757,plain,
% 10.67/8.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53))),
% 10.67/8.47 inference(transitivity,[status(thm)],[33756, 33601])).
% 10.67/8.47 tff(33758,plain,
% 10.67/8.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53)) | trans(s349, s54))),
% 10.67/8.48 inference(monotonicity,[status(thm)],[33757])).
% 10.67/8.48 tff(33759,plain,
% 10.67/8.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54))),
% 10.67/8.48 inference(transitivity,[status(thm)],[33758, 33600])).
% 10.67/8.48 tff(33760,plain,
% 10.67/8.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54)) | trans(s349, s55))),
% 10.67/8.48 inference(monotonicity,[status(thm)],[33759])).
% 10.67/8.48 tff(33761,plain,
% 10.67/8.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55))),
% 10.67/8.48 inference(transitivity,[status(thm)],[33760, 33599])).
% 10.67/8.48 tff(33762,plain,
% 10.67/8.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55)) | trans(s349, s56))),
% 10.67/8.48 inference(monotonicity,[status(thm)],[33761])).
% 10.67/8.48 tff(33763,plain,
% 10.67/8.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56))),
% 10.67/8.49 inference(transitivity,[status(thm)],[33762, 33598])).
% 10.67/8.49 tff(33764,plain,
% 10.67/8.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56)) | trans(s349, s57))),
% 10.67/8.49 inference(monotonicity,[status(thm)],[33763])).
% 10.67/8.49 tff(33765,plain,
% 10.67/8.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57))),
% 10.67/8.49 inference(transitivity,[status(thm)],[33764, 33597])).
% 10.67/8.49 tff(33766,plain,
% 10.67/8.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57)) | trans(s349, s58))),
% 10.67/8.49 inference(monotonicity,[status(thm)],[33765])).
% 10.67/8.49 tff(33767,plain,
% 10.67/8.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58))),
% 10.67/8.49 inference(transitivity,[status(thm)],[33766, 33596])).
% 10.67/8.49 tff(33768,plain,
% 10.67/8.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58)) | trans(s349, s59))),
% 10.67/8.50 inference(monotonicity,[status(thm)],[33767])).
% 10.67/8.50 tff(33769,plain,
% 10.67/8.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59))),
% 10.67/8.50 inference(transitivity,[status(thm)],[33768, 33595])).
% 10.67/8.50 tff(33770,plain,
% 10.67/8.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59)) | trans(s349, s60))),
% 10.67/8.50 inference(monotonicity,[status(thm)],[33769])).
% 10.67/8.50 tff(33771,plain,
% 10.67/8.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60))),
% 10.67/8.50 inference(transitivity,[status(thm)],[33770, 33594])).
% 10.67/8.50 tff(33772,plain,
% 10.67/8.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60)) | trans(s349, s61))),
% 10.67/8.50 inference(monotonicity,[status(thm)],[33771])).
% 10.67/8.50 tff(33773,plain,
% 10.67/8.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61))),
% 10.67/8.51 inference(transitivity,[status(thm)],[33772, 33593])).
% 10.67/8.51 tff(33774,plain,
% 10.67/8.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61)) | trans(s349, s62))),
% 10.67/8.51 inference(monotonicity,[status(thm)],[33773])).
% 10.67/8.51 tff(33775,plain,
% 10.67/8.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62))),
% 10.67/8.51 inference(transitivity,[status(thm)],[33774, 33592])).
% 10.67/8.51 tff(33776,plain,
% 10.67/8.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62)) | trans(s349, s63))),
% 10.67/8.51 inference(monotonicity,[status(thm)],[33775])).
% 10.67/8.51 tff(33777,plain,
% 10.67/8.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63))),
% 10.67/8.51 inference(transitivity,[status(thm)],[33776, 33591])).
% 10.67/8.51 tff(33778,plain,
% 10.67/8.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63)) | trans(s349, s64))),
% 10.67/8.51 inference(monotonicity,[status(thm)],[33777])).
% 10.67/8.51 tff(33779,plain,
% 10.67/8.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64))),
% 10.67/8.52 inference(transitivity,[status(thm)],[33778, 33590])).
% 10.67/8.52 tff(33780,plain,
% 10.67/8.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64)) | trans(s349, s65))),
% 10.67/8.52 inference(monotonicity,[status(thm)],[33779])).
% 10.67/8.52 tff(33781,plain,
% 10.67/8.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65))),
% 10.67/8.52 inference(transitivity,[status(thm)],[33780, 33589])).
% 10.67/8.52 tff(33782,plain,
% 10.67/8.52 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65)) | trans(s349, s66))),
% 10.67/8.52 inference(monotonicity,[status(thm)],[33781])).
% 10.67/8.52 tff(33783,plain,
% 10.67/8.52 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66))),
% 10.67/8.52 inference(transitivity,[status(thm)],[33782, 33588])).
% 10.67/8.52 tff(33784,plain,
% 10.67/8.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66)) | trans(s349, s67))),
% 10.67/8.53 inference(monotonicity,[status(thm)],[33783])).
% 10.67/8.53 tff(33785,plain,
% 10.67/8.53 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67))),
% 10.76/8.53 inference(transitivity,[status(thm)],[33784, 33587])).
% 10.76/8.53 tff(33786,plain,
% 10.76/8.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67)) | trans(s349, s68))),
% 10.76/8.53 inference(monotonicity,[status(thm)],[33785])).
% 10.76/8.53 tff(33787,plain,
% 10.76/8.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68))),
% 10.76/8.53 inference(transitivity,[status(thm)],[33786, 33586])).
% 10.76/8.53 tff(33788,plain,
% 10.76/8.53 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68)) | trans(s349, s69))),
% 10.76/8.54 inference(monotonicity,[status(thm)],[33787])).
% 10.76/8.54 tff(33789,plain,
% 10.76/8.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69))),
% 10.76/8.54 inference(transitivity,[status(thm)],[33788, 33585])).
% 10.76/8.54 tff(33790,plain,
% 10.76/8.54 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69)) | trans(s349, s70))),
% 10.76/8.54 inference(monotonicity,[status(thm)],[33789])).
% 10.76/8.54 tff(33791,plain,
% 10.76/8.54 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70))),
% 10.76/8.54 inference(transitivity,[status(thm)],[33790, 33584])).
% 10.76/8.54 tff(33792,plain,
% 10.76/8.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70)) | trans(s349, s71))),
% 10.76/8.55 inference(monotonicity,[status(thm)],[33791])).
% 10.76/8.55 tff(33793,plain,
% 10.76/8.55 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71))),
% 10.76/8.55 inference(transitivity,[status(thm)],[33792, 33583])).
% 10.76/8.55 tff(33794,plain,
% 10.76/8.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71)) | trans(s349, s72))),
% 10.76/8.55 inference(monotonicity,[status(thm)],[33793])).
% 10.76/8.55 tff(33795,plain,
% 10.76/8.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72))),
% 10.76/8.55 inference(transitivity,[status(thm)],[33794, 33582])).
% 10.76/8.55 tff(33796,plain,
% 10.76/8.55 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72)) | trans(s349, s73))),
% 10.76/8.56 inference(monotonicity,[status(thm)],[33795])).
% 10.76/8.56 tff(33797,plain,
% 10.76/8.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73))),
% 10.76/8.56 inference(transitivity,[status(thm)],[33796, 33581])).
% 10.76/8.56 tff(33798,plain,
% 10.76/8.56 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73)) | trans(s349, s74))),
% 10.76/8.56 inference(monotonicity,[status(thm)],[33797])).
% 10.76/8.56 tff(33799,plain,
% 10.76/8.56 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74))),
% 10.76/8.56 inference(transitivity,[status(thm)],[33798, 33580])).
% 10.76/8.56 tff(33800,plain,
% 10.76/8.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74)) | trans(s349, s75))),
% 10.76/8.57 inference(monotonicity,[status(thm)],[33799])).
% 10.76/8.57 tff(33801,plain,
% 10.76/8.57 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75))),
% 10.76/8.57 inference(transitivity,[status(thm)],[33800, 33579])).
% 10.76/8.57 tff(33802,plain,
% 10.76/8.57 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75)) | trans(s349, s76))),
% 10.76/8.57 inference(monotonicity,[status(thm)],[33801])).
% 10.76/8.57 tff(33803,plain,
% 10.76/8.57 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76))),
% 10.76/8.57 inference(transitivity,[status(thm)],[33802, 33578])).
% 10.76/8.57 tff(33804,plain,
% 10.76/8.57 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76)) | trans(s349, s77))),
% 10.76/8.57 inference(monotonicity,[status(thm)],[33803])).
% 10.76/8.57 tff(33805,plain,
% 10.76/8.57 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77))),
% 10.76/8.57 inference(transitivity,[status(thm)],[33804, 33577])).
% 10.76/8.57 tff(33806,plain,
% 10.76/8.58 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77)) | trans(s349, s78))),
% 10.76/8.58 inference(monotonicity,[status(thm)],[33805])).
% 10.76/8.58 tff(33807,plain,
% 10.76/8.58 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78))),
% 10.81/8.58 inference(transitivity,[status(thm)],[33806, 33576])).
% 10.81/8.58 tff(33808,plain,
% 10.81/8.58 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78)) | trans(s349, s79))),
% 10.81/8.58 inference(monotonicity,[status(thm)],[33807])).
% 10.81/8.58 tff(33809,plain,
% 10.81/8.58 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79))),
% 10.81/8.59 inference(transitivity,[status(thm)],[33808, 33575])).
% 10.81/8.59 tff(33810,plain,
% 10.81/8.59 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79)) | trans(s349, s80))),
% 10.81/8.59 inference(monotonicity,[status(thm)],[33809])).
% 10.81/8.59 tff(33811,plain,
% 10.81/8.59 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80))),
% 10.81/8.59 inference(transitivity,[status(thm)],[33810, 33574])).
% 10.81/8.59 tff(33812,plain,
% 10.81/8.59 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80)) | trans(s349, s81))),
% 10.81/8.59 inference(monotonicity,[status(thm)],[33811])).
% 10.81/8.59 tff(33813,plain,
% 10.81/8.59 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81))),
% 10.81/8.60 inference(transitivity,[status(thm)],[33812, 33573])).
% 10.81/8.60 tff(33814,plain,
% 10.81/8.60 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81)) | trans(s349, s82))),
% 10.81/8.60 inference(monotonicity,[status(thm)],[33813])).
% 10.81/8.60 tff(33815,plain,
% 10.81/8.60 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82))),
% 10.81/8.60 inference(transitivity,[status(thm)],[33814, 33572])).
% 10.81/8.60 tff(33816,plain,
% 10.81/8.60 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82)) | trans(s349, s83))),
% 10.81/8.60 inference(monotonicity,[status(thm)],[33815])).
% 10.81/8.60 tff(33817,plain,
% 10.81/8.60 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83))),
% 10.81/8.61 inference(transitivity,[status(thm)],[33816, 33571])).
% 10.81/8.61 tff(33818,plain,
% 10.81/8.61 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83)) | trans(s349, s84))),
% 10.81/8.61 inference(monotonicity,[status(thm)],[33817])).
% 10.81/8.61 tff(33819,plain,
% 10.81/8.61 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84))),
% 10.81/8.61 inference(transitivity,[status(thm)],[33818, 33570])).
% 10.81/8.61 tff(33820,plain,
% 10.81/8.61 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84)) | trans(s349, s85))),
% 10.81/8.62 inference(monotonicity,[status(thm)],[33819])).
% 10.81/8.62 tff(33821,plain,
% 10.81/8.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85))),
% 10.81/8.62 inference(transitivity,[status(thm)],[33820, 33569])).
% 10.81/8.62 tff(33822,plain,
% 10.81/8.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85)) | trans(s349, s86))),
% 10.81/8.62 inference(monotonicity,[status(thm)],[33821])).
% 10.81/8.62 tff(33823,plain,
% 10.81/8.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86))),
% 10.81/8.62 inference(transitivity,[status(thm)],[33822, 33568])).
% 10.81/8.62 tff(33824,plain,
% 10.81/8.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86)) | trans(s349, s87))),
% 10.81/8.63 inference(monotonicity,[status(thm)],[33823])).
% 10.81/8.63 tff(33825,plain,
% 10.81/8.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87))),
% 10.81/8.63 inference(transitivity,[status(thm)],[33824, 33567])).
% 10.81/8.63 tff(33826,plain,
% 10.81/8.63 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87)) | trans(s349, s88))),
% 10.81/8.63 inference(monotonicity,[status(thm)],[33825])).
% 10.81/8.63 tff(33827,plain,
% 10.81/8.63 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88))),
% 10.81/8.63 inference(transitivity,[status(thm)],[33826, 33566])).
% 10.81/8.63 tff(33828,plain,
% 10.81/8.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88)) | trans(s349, s89))),
% 10.81/8.64 inference(monotonicity,[status(thm)],[33827])).
% 10.81/8.64 tff(33829,plain,
% 10.81/8.64 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89))),
% 10.81/8.64 inference(transitivity,[status(thm)],[33828, 33565])).
% 10.81/8.64 tff(33830,plain,
% 10.81/8.64 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89)) | trans(s349, s90))),
% 10.81/8.64 inference(monotonicity,[status(thm)],[33829])).
% 10.81/8.64 tff(33831,plain,
% 10.81/8.64 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90))),
% 10.81/8.65 inference(transitivity,[status(thm)],[33830, 33564])).
% 10.81/8.65 tff(33832,plain,
% 10.81/8.65 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90)) | trans(s349, s91))),
% 10.81/8.65 inference(monotonicity,[status(thm)],[33831])).
% 10.81/8.65 tff(33833,plain,
% 10.81/8.65 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91))),
% 10.81/8.65 inference(transitivity,[status(thm)],[33832, 33563])).
% 10.81/8.65 tff(33834,plain,
% 10.81/8.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91)) | trans(s349, s92))),
% 10.81/8.65 inference(monotonicity,[status(thm)],[33833])).
% 10.81/8.65 tff(33835,plain,
% 10.81/8.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92))),
% 10.81/8.66 inference(transitivity,[status(thm)],[33834, 33562])).
% 10.81/8.66 tff(33836,plain,
% 10.81/8.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92)) | trans(s349, s93))),
% 10.81/8.66 inference(monotonicity,[status(thm)],[33835])).
% 10.81/8.66 tff(33837,plain,
% 10.81/8.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93))),
% 10.89/8.66 inference(transitivity,[status(thm)],[33836, 33561])).
% 10.89/8.66 tff(33838,plain,
% 10.89/8.66 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93)) | trans(s349, s94))),
% 10.89/8.67 inference(monotonicity,[status(thm)],[33837])).
% 10.89/8.67 tff(33839,plain,
% 10.89/8.67 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94))),
% 10.89/8.67 inference(transitivity,[status(thm)],[33838, 33560])).
% 10.89/8.67 tff(33840,plain,
% 10.89/8.67 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94)) | trans(s349, s95))),
% 10.89/8.67 inference(monotonicity,[status(thm)],[33839])).
% 10.89/8.67 tff(33841,plain,
% 10.89/8.67 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95))),
% 10.89/8.68 inference(transitivity,[status(thm)],[33840, 33559])).
% 10.89/8.68 tff(33842,plain,
% 10.89/8.68 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95)) | trans(s349, s96))),
% 10.91/8.68 inference(monotonicity,[status(thm)],[33841])).
% 10.91/8.68 tff(33843,plain,
% 10.91/8.68 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96))),
% 10.91/8.68 inference(transitivity,[status(thm)],[33842, 33558])).
% 10.91/8.68 tff(33844,plain,
% 10.91/8.68 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96)) | trans(s349, s97))),
% 10.91/8.69 inference(monotonicity,[status(thm)],[33843])).
% 10.91/8.69 tff(33845,plain,
% 10.91/8.69 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97))),
% 10.91/8.69 inference(transitivity,[status(thm)],[33844, 33557])).
% 10.91/8.69 tff(33846,plain,
% 10.91/8.69 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97)) | trans(s349, s98))),
% 10.91/8.69 inference(monotonicity,[status(thm)],[33845])).
% 10.91/8.69 tff(33847,plain,
% 10.91/8.69 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98))),
% 10.91/8.70 inference(transitivity,[status(thm)],[33846, 33556])).
% 10.91/8.70 tff(33848,plain,
% 10.91/8.70 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98)) | trans(s349, s99))),
% 10.91/8.70 inference(monotonicity,[status(thm)],[33847])).
% 10.91/8.70 tff(33849,plain,
% 10.91/8.70 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99))),
% 10.91/8.70 inference(transitivity,[status(thm)],[33848, 33555])).
% 10.91/8.70 tff(33850,plain,
% 10.91/8.70 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99)) | trans(s349, s100))),
% 10.91/8.71 inference(monotonicity,[status(thm)],[33849])).
% 10.91/8.71 tff(33851,plain,
% 10.91/8.71 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100))),
% 10.91/8.71 inference(transitivity,[status(thm)],[33850, 33554])).
% 10.91/8.71 tff(33852,plain,
% 10.91/8.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100)) | trans(s349, s101))),
% 10.91/8.71 inference(monotonicity,[status(thm)],[33851])).
% 10.91/8.71 tff(33853,plain,
% 10.91/8.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101))),
% 10.91/8.72 inference(transitivity,[status(thm)],[33852, 33553])).
% 10.91/8.72 tff(33854,plain,
% 10.91/8.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101)) | trans(s349, s102))),
% 10.91/8.72 inference(monotonicity,[status(thm)],[33853])).
% 10.91/8.72 tff(33855,plain,
% 10.91/8.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102))),
% 10.91/8.72 inference(transitivity,[status(thm)],[33854, 33552])).
% 10.91/8.72 tff(33856,plain,
% 10.91/8.72 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102)) | trans(s349, s103))),
% 10.91/8.72 inference(monotonicity,[status(thm)],[33855])).
% 10.91/8.72 tff(33857,plain,
% 10.91/8.72 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103))),
% 10.95/8.73 inference(transitivity,[status(thm)],[33856, 33551])).
% 10.95/8.73 tff(33858,plain,
% 10.95/8.73 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103)) | trans(s349, s104))),
% 10.95/8.73 inference(monotonicity,[status(thm)],[33857])).
% 10.95/8.73 tff(33859,plain,
% 10.95/8.73 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104))),
% 10.95/8.73 inference(transitivity,[status(thm)],[33858, 33550])).
% 10.95/8.73 tff(33860,plain,
% 10.95/8.73 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104)) | trans(s349, s105))),
% 10.95/8.74 inference(monotonicity,[status(thm)],[33859])).
% 10.95/8.74 tff(33861,plain,
% 10.95/8.74 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105))),
% 10.95/8.74 inference(transitivity,[status(thm)],[33860, 33549])).
% 10.95/8.74 tff(33862,plain,
% 10.95/8.74 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105)) | trans(s349, s106))),
% 10.95/8.74 inference(monotonicity,[status(thm)],[33861])).
% 10.95/8.74 tff(33863,plain,
% 10.95/8.74 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106))),
% 10.97/8.75 inference(transitivity,[status(thm)],[33862, 33548])).
% 10.97/8.75 tff(33864,plain,
% 10.97/8.75 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106)) | trans(s349, s107))),
% 10.97/8.75 inference(monotonicity,[status(thm)],[33863])).
% 10.97/8.75 tff(33865,plain,
% 10.97/8.75 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107))),
% 10.97/8.76 inference(transitivity,[status(thm)],[33864, 33547])).
% 10.97/8.76 tff(33866,plain,
% 10.97/8.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107)) | trans(s349, s108))),
% 10.97/8.76 inference(monotonicity,[status(thm)],[33865])).
% 10.97/8.76 tff(33867,plain,
% 10.97/8.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108))),
% 10.97/8.76 inference(transitivity,[status(thm)],[33866, 33546])).
% 10.97/8.76 tff(33868,plain,
% 10.97/8.76 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108)) | trans(s349, s109))),
% 10.97/8.77 inference(monotonicity,[status(thm)],[33867])).
% 10.97/8.77 tff(33869,plain,
% 10.97/8.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109))),
% 10.97/8.77 inference(transitivity,[status(thm)],[33868, 33545])).
% 10.97/8.77 tff(33870,plain,
% 10.97/8.77 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109)) | trans(s349, s110))),
% 10.97/8.77 inference(monotonicity,[status(thm)],[33869])).
% 10.97/8.77 tff(33871,plain,
% 10.97/8.77 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110))),
% 10.97/8.78 inference(transitivity,[status(thm)],[33870, 33544])).
% 10.97/8.78 tff(33872,plain,
% 10.97/8.78 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110)) | trans(s349, s111))),
% 10.97/8.78 inference(monotonicity,[status(thm)],[33871])).
% 10.97/8.78 tff(33873,plain,
% 10.97/8.78 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111))),
% 10.97/8.78 inference(transitivity,[status(thm)],[33872, 33543])).
% 10.97/8.78 tff(33874,plain,
% 10.97/8.78 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111)) | trans(s349, s112))),
% 10.97/8.79 inference(monotonicity,[status(thm)],[33873])).
% 10.97/8.79 tff(33875,plain,
% 10.97/8.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112))),
% 10.97/8.79 inference(transitivity,[status(thm)],[33874, 33542])).
% 10.97/8.79 tff(33876,plain,
% 10.97/8.79 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112)) | trans(s349, s113))),
% 10.97/8.80 inference(monotonicity,[status(thm)],[33875])).
% 10.97/8.80 tff(33877,plain,
% 10.97/8.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113))),
% 10.97/8.80 inference(transitivity,[status(thm)],[33876, 33541])).
% 10.97/8.80 tff(33878,plain,
% 10.97/8.80 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113)) | trans(s349, s114))),
% 10.97/8.80 inference(monotonicity,[status(thm)],[33877])).
% 10.97/8.80 tff(33879,plain,
% 10.97/8.80 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114))),
% 10.97/8.81 inference(transitivity,[status(thm)],[33878, 33540])).
% 10.97/8.81 tff(33880,plain,
% 10.97/8.81 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114)) | trans(s349, s115))),
% 10.97/8.81 inference(monotonicity,[status(thm)],[33879])).
% 10.97/8.81 tff(33881,plain,
% 10.97/8.81 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115))),
% 11.04/8.81 inference(transitivity,[status(thm)],[33880, 33539])).
% 11.04/8.81 tff(33882,plain,
% 11.04/8.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115)) | trans(s349, s116))),
% 11.04/8.82 inference(monotonicity,[status(thm)],[33881])).
% 11.04/8.82 tff(33883,plain,
% 11.04/8.82 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116))),
% 11.04/8.82 inference(transitivity,[status(thm)],[33882, 33538])).
% 11.04/8.82 tff(33884,plain,
% 11.04/8.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116)) | trans(s349, s117))),
% 11.04/8.82 inference(monotonicity,[status(thm)],[33883])).
% 11.04/8.82 tff(33885,plain,
% 11.04/8.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117))),
% 11.04/8.83 inference(transitivity,[status(thm)],[33884, 33537])).
% 11.04/8.83 tff(33886,plain,
% 11.04/8.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) | trans(s349, s118)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117)) | trans(s349, s118))),
% 11.04/8.83 inference(monotonicity,[status(thm)],[33885])).
% 11.04/8.83 tff(33887,plain,
% 11.04/8.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) | trans(s349, s118)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118))),
% 11.04/8.84 inference(transitivity,[status(thm)],[33886, 33536])).
% 11.04/8.84 tff(33888,plain,
% 11.04/8.84 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) | trans(s349, s118)) | trans(s349, s119)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118)) | trans(s349, s119))),
% 11.04/8.84 inference(monotonicity,[status(thm)],[33887])).
% 11.04/8.84 tff(33889,plain,
% 11.04/8.84 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) | trans(s349, s118)) | trans(s349, s119)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119))),
% 11.04/8.84 inference(transitivity,[status(thm)],[33888, 33535])).
% 11.04/8.84 tff(33890,plain,
% 11.04/8.84 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) | trans(s349, s118)) | trans(s349, s119)) | trans(s349, s120)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119)) | trans(s349, s120))),
% 11.04/8.85 inference(monotonicity,[status(thm)],[33889])).
% 11.04/8.85 tff(33891,plain,
% 11.04/8.85 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) | trans(s349, s118)) | trans(s349, s119)) | trans(s349, s120)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120))),
% 11.04/8.85 inference(transitivity,[status(thm)],[33890, 33534])).
% 11.04/8.85 tff(33892,plain,
% 11.04/8.85 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) | trans(s349, s118)) | trans(s349, s119)) | trans(s349, s120)) | trans(s349, s121)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120)) | trans(s349, s121))),
% 11.04/8.86 inference(monotonicity,[status(thm)],[33891])).
% 11.04/8.86 tff(33893,plain,
% 11.04/8.86 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) | trans(s349, s118)) | trans(s349, s119)) | trans(s349, s120)) | trans(s349, s121)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121))),
% 11.04/8.86 inference(transitivity,[status(thm)],[33892, 33533])).
% 11.04/8.86 tff(33894,plain,
% 11.04/8.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) | trans(s349, s118)) | trans(s349, s119)) | trans(s349, s120)) | trans(s349, s121)) | trans(s349, s122)) <=> (((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121)) | trans(s349, s122))),
% 11.04/8.86 inference(monotonicity,[status(thm)],[33893])).
% 11.04/8.86 tff(33895,plain,
% 11.04/8.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s349, s19)) | trans(s349, s20)) | trans(s349, s21)) | trans(s349, s22)) | trans(s349, s23)) | trans(s349, s24)) | trans(s349, s25)) | trans(s349, s26)) | trans(s349, s27)) | trans(s349, s28)) | trans(s349, s29)) | trans(s349, s30)) | trans(s349, s31)) | trans(s349, s32)) | trans(s349, s33)) | trans(s349, s34)) | trans(s349, s35)) | trans(s349, s36)) | trans(s349, s37)) | trans(s349, s38)) | trans(s349, s39)) | trans(s349, s40)) | trans(s349, s41)) | trans(s349, s42)) | trans(s349, s43)) | trans(s349, s44)) | trans(s349, s45)) | trans(s349, s46)) | trans(s349, s47)) | trans(s349, s48)) | trans(s349, s49)) | trans(s349, s50)) | trans(s349, s51)) | trans(s349, s52)) | trans(s349, s53)) | trans(s349, s54)) | trans(s349, s55)) | trans(s349, s56)) | trans(s349, s57)) | trans(s349, s58)) | trans(s349, s59)) | trans(s349, s60)) | trans(s349, s61)) | trans(s349, s62)) | trans(s349, s63)) | trans(s349, s64)) | trans(s349, s65)) | trans(s349, s66)) | trans(s349, s67)) | trans(s349, s68)) | trans(s349, s69)) | trans(s349, s70)) | trans(s349, s71)) | trans(s349, s72)) | trans(s349, s73)) | trans(s349, s74)) | trans(s349, s75)) | trans(s349, s76)) | trans(s349, s77)) | trans(s349, s78)) | trans(s349, s79)) | trans(s349, s80)) | trans(s349, s81)) | trans(s349, s82)) | trans(s349, s83)) | trans(s349, s84)) | trans(s349, s85)) | trans(s349, s86)) | trans(s349, s87)) | trans(s349, s88)) | trans(s349, s89)) | trans(s349, s90)) | trans(s349, s91)) | trans(s349, s92)) | trans(s349, s93)) | trans(s349, s94)) | trans(s349, s95)) | trans(s349, s96)) | trans(s349, s97)) | trans(s349, s98)) | trans(s349, s99)) | trans(s349, s100)) | trans(s349, s101)) | trans(s349, s102)) | trans(s349, s103)) | trans(s349, s104)) | trans(s349, s105)) | trans(s349, s106)) | trans(s349, s107)) | trans(s349, s108)) | trans(s349, s109)) | trans(s349, s110)) | trans(s349, s111)) | trans(s349, s112)) | trans(s349, s113)) | trans(s349, s114)) | trans(s349, s115)) | trans(s349, s116)) | trans(s349, s117)) | trans(s349, s118)) | trans(s349, s119)) | trans(s349, s120)) | trans(s349, s121)) | trans(s349, s122)) <=> ((~loop) | trans(s349, s0) | trans(s349, s1) | trans(s349, s2) | trans(s349, s3) | trans(s349, s4) | trans(s349, s5) | trans(s349, s6) | trans(s349, s7) | trans(s349, s8) | trans(s349, s9) | trans(s349, s10) | trans(s349, s11) | trans(s349, s12) | trans(s349, s13) | trans(s349, s14) | trans(s349, s15) | trans(s349, s16) | trans(s349, s17) | trans(s349, s18) | trans(s349, s19) | trans(s349, s20) | trans(s349, s21) | trans(s349, s22) | trans(s349, s23) | trans(s349, s24) | trans(s349, s25) | trans(s349, s26) | trans(s349, s27) | trans(s349, s28) | trans(s349, s29) | trans(s349, s30) | trans(s349, s31) | trans(s349, s32) | trans(s349, s33) | trans(s349, s34) | trans(s349, s35) | trans(s349, s36) | trans(s349, s37) | trans(s349, s38) | trans(s349, s39) | trans(s349, s40) | trans(s349, s41) | trans(s349, s42) | trans(s349, s43) | trans(s349, s44) | trans(s349, s45) | trans(s349, s46) | trans(s349, s47) | trans(s349, s48) | trans(s349, s49) | trans(s349, s50) | trans(s349, s51) | trans(s349, s52) | trans(s349, s53) | trans(s349, s54) | trans(s349, s55) | trans(s349, s56) | trans(s349, s57) | trans(s349, s58) | trans(s349, s59) | trans(s349, s60) | trans(s349, s61) | trans(s349, s62) | trans(s349, s63) | trans(s349, s64) | trans(s349, s65) | trans(s349, s66) | trans(s349, s67) | trans(s349, s68) | trans(s349, s69) | trans(s349, s70) | trans(s349, s71) | trans(s349, s72) | trans(s349, s73) | trans(s349, s74) | trans(s349, s75) | trans(s349, s76) | trans(s349, s77) | trans(s349, s78) | trans(s349, s79) | trans(s349, s80) | trans(s349, s81) | trans(s349, s82) | trans(s349, s83) | trans(s349, s84) | trans(s349, s85) | trans(s349, s86) | trans(s349, s87) | trans(s349, s88) | trans(s349, s89) | trans(s349, s90) | trans(s349, s91) | trans(s349, s92) | trans(s349, s93) | trans(s349, s94) | trans(s349, s95) | trans(s349, s96) | trans(s349, s97) | trans(s349, s98) | trans(s349, s99) | trans(s349, s100) | trans(s349, s101) | trans(s349, s102) | trans(s349, s103) | trans(s349, s104) | trans(s349, s105) | trans(s349, s106) | trans(s349, s107) | trans(s349, s108) | trans(s349, s109) | trans(s349, s110) | trans(s349, s111) | trans(s349, s112) | trans(s349, s113) | trans(s349, s114) | trans(s349, s115) | trans(s349, s116) | trans(s349, s117) | trans(s349, s118) | trans(s349, s119) | trans(s349, s120) | trans(s349, s121) | trans(s349, s122))),
% 11.09/8.87 inference(transitivity,[status(thm)],[33894, 33532])).
% 11.09/8.87 tff(33896,plain,
% 11.09/8.87 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s349, s0)) | trans(s349, s1)) | trans(s349, s2)) | trans(s349, s3)) | trans(s349, s4)) | trans(s349, s5)) | trans(s349, s6)) | trans(s349, s7)) | trans(s349, s8)) | trans(s349, s9)) | trans(s349, s10)) | trans(s349, s11)) | trans(s349, s12)) | trans(s349, s13)) | trans(s349, s14)) | trans(s349, s15)) | trans(s349, s16)) | trans(s349, s17)) | trans(s349, s18)) | trans(s3